sbuild (Debian sbuild) 0.85.0 (04 January 2023) on debian-ci-siliconvalley

+=================================================================================+
| pluto-jpl-eph 0.0~git20240106.0c2782e-1 (arm64) Sun, 05 Apr 2026 17:30:41 +0000 |
+=================================================================================+

Package: pluto-jpl-eph
Version: 0.0~git20240106.0c2782e-1
Source Version: 0.0~git20240106.0c2782e-1
Distribution: unstable
Machine Architecture: amd64
Host Architecture: arm64
Build Architecture: amd64
Build Profiles: cross nocheck
Build Type: any

I: NOTICE: Log filtering will replace 'var/run/schroot/mount/sid-amd64-sbuild-52220431-57ec-4462-80b1-f096787253b7' with '<<CHROOT>>'
I: NOTICE: Log filtering will replace 'build/pluto-jpl-eph-odbCAh/resolver-KMF00d' with '<<RESOLVERDIR>>'

+------------------------------------------------------------------------------+
| Update chroot                                                                |
+------------------------------------------------------------------------------+

Get:1 http://localhost:3142/debian unstable InRelease [187 kB]
Get:2 http://localhost:3142/debian unstable/main Sources.diff/Index [63.6 kB]
Get:3 http://localhost:3142/debian unstable/main amd64 Packages.diff/Index [63.6 kB]
Get:4 http://localhost:3142/debian unstable/main Sources T-2026-04-05-1400.15-F-2026-04-05-0200.13.pdiff [47.1 kB]
Get:5 http://localhost:3142/debian unstable/main amd64 Packages T-2026-04-05-1400.15-F-2026-04-05-0200.13.pdiff [63.1 kB]
Get:4 http://localhost:3142/debian unstable/main Sources T-2026-04-05-1400.15-F-2026-04-05-0200.13.pdiff [47.1 kB]
Get:6 http://localhost:3142/debian unstable/main arm64 Packages [10.3 MB]
Get:5 http://localhost:3142/debian unstable/main amd64 Packages T-2026-04-05-1400.15-F-2026-04-05-0200.13.pdiff [63.1 kB]
Fetched 10.7 MB in 3s (3692 kB/s)
Reading package lists...
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Building dependency tree...
Reading state information...
Calculating upgrade...
The following packages will be upgraded:
  libselinux1 libsemanage-common libsemanage2 libsepol2 linux-libc-dev
5 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.
Need to get 2463 kB of archives.
After this operation, 28.7 kB disk space will be freed.
Get:1 http://localhost:3142/debian unstable/main amd64 libselinux1 amd64 3.10-1 [85.4 kB]
Get:2 http://localhost:3142/debian unstable/main amd64 libsemanage-common all 3.10-1 [6776 B]
Get:3 http://localhost:3142/debian unstable/main amd64 libsepol2 amd64 3.10-1 [307 kB]
Get:4 http://localhost:3142/debian unstable/main amd64 libsemanage2 amd64 3.10-1 [92.4 kB]
Get:5 http://localhost:3142/debian unstable/main amd64 linux-libc-dev all 6.19.11-1 [1972 kB]
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(Reading database ... 12983 files and directories currently installed.)
Preparing to unpack .../libselinux1_3.10-1_amd64.deb ...
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(Reading database ... 12982 files and directories currently installed.)
Preparing to unpack .../libsemanage-common_3.10-1_all.deb ...
Unpacking libsemanage-common (3.10-1) over (3.9-1) ...
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Unpacking libsepol2:amd64 (3.10-1) over (3.9-2) ...
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Preparing to unpack .../linux-libc-dev_6.19.11-1_all.deb ...
Unpacking linux-libc-dev (6.19.11-1) over (6.19.10-1) ...
Setting up linux-libc-dev (6.19.11-1) ...
Setting up libsemanage-common (3.10-1) ...
Setting up libsepol2:amd64 (3.10-1) ...
Setting up libsemanage2:amd64 (3.10-1) ...
Processing triggers for libc-bin (2.42-14) ...

+------------------------------------------------------------------------------+
| Fetch source files                                                           |
+------------------------------------------------------------------------------+


Check APT
---------

Checking available source versions...

Download source files with APT
------------------------------

Reading package lists...
NOTICE: 'pluto-jpl-eph' packaging is maintained in the 'Git' version control system at:
https://salsa.debian.org/debian-astro-team/pluto-jpl-eph.git
Please use:
git clone https://salsa.debian.org/debian-astro-team/pluto-jpl-eph.git
to retrieve the latest (possibly unreleased) updates to the package.
Need to get 68.9 kB of source archives.
Get:1 http://localhost:3142/debian unstable/main pluto-jpl-eph 0.0~git20240106.0c2782e-1 (dsc) [2230 B]
Get:2 http://localhost:3142/debian unstable/main pluto-jpl-eph 0.0~git20240106.0c2782e-1 (tar) [63.4 kB]
Get:3 http://localhost:3142/debian unstable/main pluto-jpl-eph 0.0~git20240106.0c2782e-1 (diff) [3200 B]
Fetched 68.9 kB in 0s (0 B/s)
Download complete and in download only mode
I: NOTICE: Log filtering will replace 'build/pluto-jpl-eph-odbCAh/pluto-jpl-eph-0.0~git20240106.0c2782e' with '<<PKGBUILDDIR>>'
I: NOTICE: Log filtering will replace 'build/pluto-jpl-eph-odbCAh' with '<<BUILDDIR>>'

+------------------------------------------------------------------------------+
| Install package build dependencies                                           |
+------------------------------------------------------------------------------+


Setup apt archive
-----------------

Merged Build-Depends: debhelper-compat (= 13), libpluto-lunar-dev, libc-dev, libstdc++-dev, build-essential:amd64, fakeroot:amd64, crossbuild-essential-arm64:amd64, libc-dev:arm64, libstdc++-dev:arm64
Filtered Build-Depends: debhelper-compat (= 13), libpluto-lunar-dev, libc-dev, libstdc++-dev, build-essential:amd64, fakeroot:amd64, crossbuild-essential-arm64:amd64, libc-dev:arm64, libstdc++-dev:arm64
dpkg-deb: warning: root directory /<<RESOLVERDIR>>/sbuild-build-depends-main-dummy has unusual owner or group 1000:119
dpkg-deb: hint: you might need to pass --root-owner-group, see <https://wiki.debian.org/Teams/Dpkg/RootlessBuilds> for further details
dpkg-deb: warning: ignoring 1 warning about the control file(s)
dpkg-deb: building package 'sbuild-build-depends-main-dummy' in '/<<RESOLVERDIR>>/apt_archive/sbuild-build-depends-main-dummy.deb'.
Ign:1 copy:/<<RESOLVERDIR>>/apt_archive ./ InRelease
Get:2 copy:/<<RESOLVERDIR>>/apt_archive ./ Release [609 B]
Ign:3 copy:/<<RESOLVERDIR>>/apt_archive ./ Release.gpg
Get:4 copy:/<<RESOLVERDIR>>/apt_archive ./ Sources [734 B]
Get:5 copy:/<<RESOLVERDIR>>/apt_archive ./ Packages [777 B]
Fetched 2120 B in 0s (0 B/s)
Reading package lists...
Reading package lists...

Install main build dependencies (apt-based resolver)
----------------------------------------------------

Installing build dependencies
Reading package lists...
Building dependency tree...
Reading state information...
Execute external solver...
The following additional packages will be installed:
  autoconf automake autopoint autotools-dev binutils-aarch64-linux-gnu
  bsdextrautils cpp-15-aarch64-linux-gnu cpp-aarch64-linux-gnu
  crossbuild-essential-arm64 debhelper dh-autoreconf dh-strip-nondeterminism
  dwz fakeroot file g++-15-aarch64-linux-gnu g++-aarch64-linux-gnu
  gcc-15-aarch64-linux-gnu gcc-15-aarch64-linux-gnu-base gcc-15-base:arm64
  gcc-15-cross-base gcc-16-base:arm64 gcc-16-cross-base gcc-aarch64-linux-gnu
  gettext gettext-base groff-base intltool-debian libarchive-zip-perl
  libasan8:arm64 libasan8-arm64-cross libatomic1:arm64 libatomic1-arm64-cross
  libc-gconv-modules-extra:arm64 libc6:arm64 libc6-arm64-cross libc6-dev:arm64
  libc6-dev-arm64-cross libdebhelper-perl libelf1t64 libfakeroot
  libfile-stripnondeterminism-perl libgcc-15-dev:arm64
  libgcc-15-dev-arm64-cross libgcc-s1:arm64 libgcc-s1-arm64-cross
  libgomp1:arm64 libgomp1-arm64-cross libhwasan0:arm64 libhwasan0-arm64-cross
  libitm1:arm64 libitm1-arm64-cross liblsan0:arm64 liblsan0-arm64-cross
  libmagic-mgc libmagic1t64 libpipeline1 libpluto-lunar-dev:arm64
  libstdc++-15-dev:arm64 libstdc++-15-dev-arm64-cross libstdc++6:arm64
  libstdc++6-arm64-cross libtool libtsan2:arm64 libtsan2-arm64-cross
  libubsan1:arm64 libubsan1-arm64-cross libuchardet0 libunistring5 libxml2-16
  linux-libc-dev-arm64-cross m4 man-db po-debconf sensible-utils
Suggested packages:
  autoconf-archive gnu-standards autoconf-doc binutils-doc gcc-15-locales
  cpp-15-doc cpp-doc dh-make gcc-15-doc manpages-dev flex bison
  gdb-aarch64-linux-gnu gcc-doc gettext-doc libasprintf-dev libgettextpo-dev
  gnulib-l10n groff glibc-doc:arm64 libc-l10n:arm64 locales:arm64
  libnss-nis:arm64 libnss-nisplus:arm64 manpages-dev:arm64
  libstdc++-15-doc:arm64 libtool-doc gfortran | fortran95-compiler m4-doc
  apparmor less www-browser libmail-box-perl
Recommended packages:
  curl | wget | lynx libidn2-0:arm64 libarchive-cpio-perl libltdl-dev
  libmail-sendmail-perl
The following NEW packages will be installed:
  autoconf automake autopoint autotools-dev binutils-aarch64-linux-gnu
  bsdextrautils cpp-15-aarch64-linux-gnu cpp-aarch64-linux-gnu
  crossbuild-essential-arm64 debhelper dh-autoreconf dh-strip-nondeterminism
  dwz fakeroot file g++-15-aarch64-linux-gnu g++-aarch64-linux-gnu
  gcc-15-aarch64-linux-gnu gcc-15-aarch64-linux-gnu-base gcc-15-base:arm64
  gcc-15-cross-base gcc-16-base:arm64 gcc-16-cross-base gcc-aarch64-linux-gnu
  gettext gettext-base groff-base intltool-debian libarchive-zip-perl
  libasan8:arm64 libasan8-arm64-cross libatomic1:arm64 libatomic1-arm64-cross
  libc-gconv-modules-extra:arm64 libc6:arm64 libc6-arm64-cross libc6-dev:arm64
  libc6-dev-arm64-cross libdebhelper-perl libelf1t64 libfakeroot
  libfile-stripnondeterminism-perl libgcc-15-dev:arm64
  libgcc-15-dev-arm64-cross libgcc-s1:arm64 libgcc-s1-arm64-cross
  libgomp1:arm64 libgomp1-arm64-cross libhwasan0:arm64 libhwasan0-arm64-cross
  libitm1:arm64 libitm1-arm64-cross liblsan0:arm64 liblsan0-arm64-cross
  libmagic-mgc libmagic1t64 libpipeline1 libpluto-lunar-dev:arm64
  libstdc++-15-dev:arm64 libstdc++-15-dev-arm64-cross libstdc++6:arm64
  libstdc++6-arm64-cross libtool libtsan2:arm64 libtsan2-arm64-cross
  libubsan1:arm64 libubsan1-arm64-cross libuchardet0 libunistring5 libxml2-16
  linux-libc-dev-arm64-cross m4 man-db po-debconf
  sbuild-build-depends-main-dummy:arm64 sensible-utils
0 upgraded, 76 newly installed, 0 to remove and 0 not upgraded.
Need to get 92.4 MB of archives.
After this operation, 420 MB of additional disk space will be used.
Get:1 copy:/<<RESOLVERDIR>>/apt_archive ./ sbuild-build-depends-main-dummy 0.invalid.0 [928 B]
Get:2 http://localhost:3142/debian unstable/main amd64 sensible-utils all 0.0.26 [27.0 kB]
Get:3 http://localhost:3142/debian unstable/main amd64 libmagic-mgc amd64 1:5.46-5+b1 [338 kB]
Get:4 http://localhost:3142/debian unstable/main amd64 libmagic1t64 amd64 1:5.46-5+b1 [110 kB]
Get:5 http://localhost:3142/debian unstable/main amd64 file amd64 1:5.46-5+b1 [43.8 kB]
Get:6 http://localhost:3142/debian unstable/main amd64 gettext-base amd64 0.23.2-2 [242 kB]
Get:7 http://localhost:3142/debian unstable/main amd64 libuchardet0 amd64 0.0.8-2+b1 [68.8 kB]
Get:8 http://localhost:3142/debian unstable/main amd64 groff-base amd64 1.23.0-10 [1194 kB]
Get:9 http://localhost:3142/debian unstable/main amd64 bsdextrautils amd64 2.42-1 [99.0 kB]
Get:10 http://localhost:3142/debian unstable/main amd64 libpipeline1 amd64 1.5.8-2 [42.1 kB]
Get:11 http://localhost:3142/debian unstable/main amd64 man-db amd64 2.13.1-1 [1469 kB]
Get:12 http://localhost:3142/debian unstable/main amd64 m4 amd64 1.4.21-1 [332 kB]
Get:13 http://localhost:3142/debian unstable/main amd64 autoconf all 2.72-6 [494 kB]
Get:14 http://localhost:3142/debian unstable/main amd64 autotools-dev all 20240727.1 [60.2 kB]
Get:15 http://localhost:3142/debian unstable/main amd64 automake all 1:1.18.1-4 [877 kB]
Get:16 http://localhost:3142/debian unstable/main amd64 autopoint all 0.23.2-2 [770 kB]
Get:17 http://localhost:3142/debian unstable/main amd64 binutils-aarch64-linux-gnu amd64 2.46-3 [1760 kB]
Get:18 http://localhost:3142/debian unstable/main amd64 gcc-15-aarch64-linux-gnu-base amd64 15.2.0-16cross1 [36.6 kB]
Get:19 http://localhost:3142/debian unstable/main amd64 cpp-15-aarch64-linux-gnu amd64 15.2.0-16cross1 [12.3 MB]
Get:20 http://localhost:3142/debian unstable/main amd64 cpp-aarch64-linux-gnu amd64 4:15.2.0-5 [5320 B]
Get:21 http://localhost:3142/debian unstable/main amd64 gcc-15-cross-base all 15.2.0-16cross1 [31.9 kB]
Get:22 http://localhost:3142/debian unstable/main amd64 gcc-16-cross-base all 16-20260322-1cross1 [31.3 kB]
Get:23 http://localhost:3142/debian unstable/main amd64 libc6-arm64-cross all 2.42-12cross1 [1178 kB]
Get:24 http://localhost:3142/debian unstable/main amd64 libgcc-s1-arm64-cross all 16-20260322-1cross1 [53.2 kB]
Get:25 http://localhost:3142/debian unstable/main amd64 libgomp1-arm64-cross all 16-20260322-1cross1 [100 kB]
Get:26 http://localhost:3142/debian unstable/main amd64 libitm1-arm64-cross all 16-20260322-1cross1 [26.5 kB]
Get:27 http://localhost:3142/debian unstable/main amd64 libatomic1-arm64-cross all 16-20260322-1cross1 [10.5 kB]
Get:28 http://localhost:3142/debian unstable/main amd64 libasan8-arm64-cross all 16-20260322-1cross1 [452 kB]
Get:29 http://localhost:3142/debian unstable/main amd64 liblsan0-arm64-cross all 16-20260322-1cross1 [213 kB]
Get:30 http://localhost:3142/debian unstable/main amd64 libtsan2-arm64-cross all 16-20260322-1cross1 [432 kB]
Get:31 http://localhost:3142/debian unstable/main amd64 libstdc++6-arm64-cross all 16-20260322-1cross1 [588 kB]
Get:32 http://localhost:3142/debian unstable/main amd64 libubsan1-arm64-cross all 16-20260322-1cross1 [195 kB]
Get:33 http://localhost:3142/debian unstable/main amd64 libhwasan0-arm64-cross all 16-20260322-1cross1 [270 kB]
Get:34 http://localhost:3142/debian unstable/main amd64 libgcc-15-dev-arm64-cross all 15.2.0-16cross1 [2534 kB]
Get:35 http://localhost:3142/debian unstable/main amd64 gcc-15-aarch64-linux-gnu amd64 15.2.0-16cross1 [23.6 MB]
Get:36 http://localhost:3142/debian unstable/main amd64 gcc-aarch64-linux-gnu amd64 4:15.2.0-5 [1444 B]
Get:37 http://localhost:3142/debian unstable/main amd64 linux-libc-dev-arm64-cross all 6.19.11-1 [11.9 kB]
Get:38 http://localhost:3142/debian unstable/main amd64 libc6-dev-arm64-cross all 2.42-12cross1 [1634 kB]
Get:39 http://localhost:3142/debian unstable/main amd64 libstdc++-15-dev-arm64-cross all 15.2.0-16cross1 [3181 kB]
Get:40 http://localhost:3142/debian unstable/main amd64 g++-15-aarch64-linux-gnu amd64 15.2.0-16cross1 [13.3 MB]
Get:41 http://localhost:3142/debian unstable/main amd64 g++-aarch64-linux-gnu amd64 4:15.2.0-5 [1200 B]
Get:42 http://localhost:3142/debian unstable/main amd64 crossbuild-essential-arm64 all 12.12 [3548 B]
Get:43 http://localhost:3142/debian unstable/main amd64 libdebhelper-perl all 13.31 [75.7 kB]
Get:44 http://localhost:3142/debian unstable/main amd64 libtool all 2.5.4-10 [539 kB]
Get:45 http://localhost:3142/debian unstable/main amd64 dh-autoreconf all 22 [12.2 kB]
Get:46 http://localhost:3142/debian unstable/main amd64 libarchive-zip-perl all 1.68-1 [104 kB]
Get:47 http://localhost:3142/debian unstable/main amd64 libfile-stripnondeterminism-perl all 1.15.0-1 [19.9 kB]
Get:48 http://localhost:3142/debian unstable/main amd64 dh-strip-nondeterminism all 1.15.0-1 [8812 B]
Get:49 http://localhost:3142/debian unstable/main amd64 libelf1t64 amd64 0.194-4 [183 kB]
Get:50 http://localhost:3142/debian unstable/main amd64 dwz amd64 0.16-4 [108 kB]
Get:51 http://localhost:3142/debian unstable/main amd64 libunistring5 amd64 1.4.2-1 [480 kB]
Get:52 http://localhost:3142/debian unstable/main amd64 libxml2-16 amd64 2.15.2+dfsg-0.1 [641 kB]
Get:53 http://localhost:3142/debian unstable/main amd64 gettext amd64 0.23.2-2 [1684 kB]
Get:54 http://localhost:3142/debian unstable/main amd64 intltool-debian all 0.35.0+20060710.6 [22.9 kB]
Get:55 http://localhost:3142/debian unstable/main amd64 po-debconf all 1.0.22 [216 kB]
Get:56 http://localhost:3142/debian unstable/main amd64 debhelper all 13.31 [932 kB]
Get:57 http://localhost:3142/debian unstable/main amd64 libfakeroot amd64 1.37.2-1 [29.9 kB]
Get:58 http://localhost:3142/debian unstable/main amd64 fakeroot amd64 1.37.2-1 [76.2 kB]
Get:59 http://localhost:3142/debian unstable/main arm64 gcc-15-base arm64 15.2.0-16 [36.3 kB]
Get:60 http://localhost:3142/debian unstable/main arm64 gcc-16-base arm64 16-20260322-1 [35.6 kB]
Get:61 http://localhost:3142/debian unstable/main arm64 libgcc-s1 arm64 16-20260322-1 [53.2 kB]
Get:62 http://localhost:3142/debian unstable/main arm64 libc-gconv-modules-extra arm64 2.42-14 [1130 kB]
Get:63 http://localhost:3142/debian unstable/main arm64 libc6 arm64 2.42-14 [1386 kB]
Get:64 http://localhost:3142/debian unstable/main arm64 libasan8 arm64 16-20260322-1 [2673 kB]
Get:65 http://localhost:3142/debian unstable/main arm64 libatomic1 arm64 16-20260322-1 [9832 B]
Get:66 http://localhost:3142/debian unstable/main arm64 libc6-dev arm64 2.42-14 [1617 kB]
Get:67 http://localhost:3142/debian unstable/main arm64 libgomp1 arm64 16-20260322-1 [131 kB]
Get:68 http://localhost:3142/debian unstable/main arm64 libitm1 arm64 16-20260322-1 [24.2 kB]
Get:69 http://localhost:3142/debian unstable/main arm64 liblsan0 arm64 16-20260322-1 [1213 kB]
Get:70 http://localhost:3142/debian unstable/main arm64 libtsan2 arm64 16-20260322-1 [2449 kB]
Get:71 http://localhost:3142/debian unstable/main arm64 libstdc++6 arm64 16-20260322-1 [653 kB]
Get:72 http://localhost:3142/debian unstable/main arm64 libubsan1 arm64 16-20260322-1 [1080 kB]
Get:73 http://localhost:3142/debian unstable/main arm64 libhwasan0 arm64 16-20260322-1 [1507 kB]
Get:74 http://localhost:3142/debian unstable/main arm64 libgcc-15-dev arm64 15.2.0-16 [2371 kB]
Get:75 http://localhost:3142/debian unstable/main arm64 libpluto-lunar-dev arm64 0.0~git20180825.e34c1d1-1+b2 [102 kB]
Get:76 http://localhost:3142/debian unstable/main arm64 libstdc++-15-dev arm64 15.2.0-16 [2650 kB]
Preconfiguring packages ...
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+------------------------------------------------------------------------------+
| Check architectures                                                          |
+------------------------------------------------------------------------------+

Arch check ok (arm64 included in any)

+------------------------------------------------------------------------------+
| Build environment                                                            |
+------------------------------------------------------------------------------+

Kernel: Linux 6.1.0-44-amd64 #1 SMP PREEMPT_DYNAMIC Debian 6.1.164-1 (2026-03-09) amd64 (x86_64)
Toolchain package versions: binutils_2.46-3 dpkg-dev_1.23.7 g++-15_15.2.0-16 gcc-15_15.2.0-16 libc6-dev_2.42-14 libstdc++-15-dev_15.2.0-16 libstdc++-15-dev-arm64-cross_15.2.0-16cross1 libstdc++6_16-20260322-1 libstdc++6-arm64-cross_16-20260322-1cross1 linux-libc-dev_6.19.11-1
Package versions: apt_3.1.16 apt-utils_3.1.16 autoconf_2.72-6 automake_1:1.18.1-4 autopoint_0.23.2-2 autotools-dev_20240727.1 base-files_14 base-passwd_3.6.8 bash_5.3-2 binutils_2.46-3 binutils-aarch64-linux-gnu_2.46-3 binutils-common_2.46-3 binutils-x86-64-linux-gnu_2.46-3 bsdextrautils_2.42-1 bsdutils_1:2.42-1 build-essential_12.12 bzip2_1.0.8-6+b1 coreutils_9.10-1 cpp_4:15.2.0-5 cpp-15_15.2.0-16 cpp-15-aarch64-linux-gnu_15.2.0-16cross1 cpp-15-x86-64-linux-gnu_15.2.0-16 cpp-aarch64-linux-gnu_4:15.2.0-5 cpp-x86-64-linux-gnu_4:15.2.0-5 crossbuild-essential-arm64_12.12 dash_0.5.12-12 debconf_1.5.92 debhelper_13.31 debian-archive-keyring_2025.1 debianutils_5.23.2 dh-autoreconf_22 dh-strip-nondeterminism_1.15.0-1 diffutils_1:3.12-1 dpkg_1.23.7 dpkg-dev_1.23.7 dwz_0.16-4 fakeroot_1.37.2-1 file_1:5.46-5+b1 findutils_4.10.0-3 g++_4:15.2.0-5 g++-15_15.2.0-16 g++-15-aarch64-linux-gnu_15.2.0-16cross1 g++-15-x86-64-linux-gnu_15.2.0-16 g++-aarch64-linux-gnu_4:15.2.0-5 g++-x86-64-linux-gnu_4:15.2.0-5 gcc_4:15.2.0-5 gcc-15_15.2.0-16 gcc-15-aarch64-linux-gnu_15.2.0-16cross1 gcc-15-aarch64-linux-gnu-base_15.2.0-16cross1 gcc-15-base_15.2.0-16 gcc-15-cross-base_15.2.0-16cross1 gcc-15-x86-64-linux-gnu_15.2.0-16 gcc-16-base_16-20260322-1 gcc-16-cross-base_16-20260322-1cross1 gcc-aarch64-linux-gnu_4:15.2.0-5 gcc-x86-64-linux-gnu_4:15.2.0-5 gettext_0.23.2-2 gettext-base_0.23.2-2 grep_3.12-1 groff-base_1.23.0-10 gzip_1.13-1 hostname_3.25 init-system-helpers_1.69 intltool-debian_0.35.0+20060710.6 libacl1_2.3.2-3 libapt-pkg7.0_3.1.16 libarchive-zip-perl_1.68-1 libasan8_16-20260322-1 libasan8-arm64-cross_16-20260322-1cross1 libatomic1_16-20260322-1 libatomic1-arm64-cross_16-20260322-1cross1 libattr1_1:2.5.2-4 libaudit-common_1:4.1.2-1 libaudit1_1:4.1.2-1+b1 libbinutils_2.46-3 libblkid1_2.42-1 libbsd0_0.12.2-2+b1 libbz2-1.0_1.0.8-6+b1 libc-bin_2.42-14 libc-dev-bin_2.42-14 libc-gconv-modules-extra_2.42-14 libc6_2.42-14 libc6-arm64-cross_2.42-12cross1 libc6-dev_2.42-14 libc6-dev-arm64-cross_2.42-12cross1 libcap-ng0_0.9.2-1 libcc1-0_16-20260322-1 libcrypt1_1:4.5.1-1 libctf-nobfd0_2.46-3 libctf0_2.46-3 libdb5.3t64_5.3.28+dfsg2-11 libdebconfclient0_0.282+b2 libdebhelper-perl_13.31 libdpkg-perl_1.23.7 libelf1t64_0.194-4 libfakeroot_1.37.2-1 libfile-stripnondeterminism-perl_1.15.0-1 libgcc-15-dev_15.2.0-16 libgcc-15-dev-arm64-cross_15.2.0-16cross1 libgcc-s1_16-20260322-1 libgcc-s1-arm64-cross_16-20260322-1cross1 libgdbm-compat4t64_1.26-1+b1 libgdbm6t64_1.26-1+b1 libgmp10_2:6.3.0+dfsg-5+b1 libgomp1_16-20260322-1 libgomp1-arm64-cross_16-20260322-1cross1 libgprofng0_2.46-3 libhogweed6t64_3.10.2-1 libhwasan0_16-20260322-1 libhwasan0-arm64-cross_16-20260322-1cross1 libisl23_0.27-2 libitm1_16-20260322-1 libitm1-arm64-cross_16-20260322-1cross1 libjansson4_2.14-2+b4 liblsan0_16-20260322-1 liblsan0-arm64-cross_16-20260322-1cross1 liblz4-1_1.10.0-8 liblzma5_5.8.2-2 libmagic-mgc_1:5.46-5+b1 libmagic1t64_1:5.46-5+b1 libmd0_1.1.0-2+b2 libmount1_2.42-1 libmpc3_1.3.1-3 libmpfr6_4.2.2-3 libnettle8t64_3.10.2-1 libpam-modules_1.7.0-5+b1 libpam-modules-bin_1.7.0-5+b1 libpam-runtime_1.7.0-5 libpam0g_1.7.0-5+b1 libpcre2-8-0_10.46-1+b1 libperl5.40_5.40.1-7 libpipeline1_1.5.8-2 libpluto-lunar-dev_0.0~git20180825.e34c1d1-1+b2 libquadmath0_16-20260322-1 libseccomp2_2.6.0-2+b1 libselinux1_3.10-1 libsemanage-common_3.10-1 libsemanage2_3.10-1 libsepol2_3.10-1 libsframe3_2.46-3 libsmartcols1_2.42-1 libssl3t64_3.6.1-3 libstdc++-15-dev_15.2.0-16 libstdc++-15-dev-arm64-cross_15.2.0-16cross1 libstdc++6_16-20260322-1 libstdc++6-arm64-cross_16-20260322-1cross1 libsystemd0_260.1-1 libtinfo6_6.6+20251231-1 libtool_2.5.4-10 libtsan2_16-20260322-1 libtsan2-arm64-cross_16-20260322-1cross1 libubsan1_16-20260322-1 libubsan1-arm64-cross_16-20260322-1cross1 libuchardet0_0.0.8-2+b1 libudev1_260.1-1 libunistring5_1.4.2-1 libuuid1_2.42-1 libxml2-16_2.15.2+dfsg-0.1 libxxhash0_0.8.3-2+b1 libzstd1_1.5.7+dfsg-3+b1 linux-libc-dev_6.19.11-1 linux-libc-dev-arm64-cross_6.19.11-1 login_1:4.16.0-2+really2.42-1 login.defs_1:4.19.3-2 m4_1.4.21-1 make_4.4.1-3 man-db_2.13.1-1 mawk_1.3.4.20260302-1 mount_2.42-1 ncurses-base_6.6+20251231-1 ncurses-bin_6.6+20251231-1 openssl-provider-legacy_3.6.1-3 passwd_1:4.19.3-2 patch_2.8-2 perl_5.40.1-7 perl-base_5.40.1-7 perl-modules-5.40_5.40.1-7 po-debconf_1.0.22 rpcsvc-proto_1.4.3-1 sbuild-build-depends-main-dummy_0.invalid.0 sed_4.9-2 sensible-utils_0.0.26 sqv_1.3.0-5 sysvinit-utils_3.18-1 tar_1.35+dfsg-4 tzdata_2026a-3 util-linux_2.42-1 xz-utils_5.8.2-2 zlib1g_1:1.3.dfsg+really1.3.2-3

+------------------------------------------------------------------------------+
| Build                                                                        |
+------------------------------------------------------------------------------+


Unpack source
-------------

-----BEGIN PGP SIGNED MESSAGE-----
Hash: SHA512

Format: 3.0 (quilt)
Source: pluto-jpl-eph
Binary: pluto-jpl-eph, libpluto-jpl-eph-dev
Architecture: any
Version: 0.0~git20240106.0c2782e-1
Maintainer: Debian Astro Tream <debian-astro-maintainers@lists.alioth.debian.org>
Uploaders: Steffen Moeller <moeller@debian.org>
Homepage: https://github.com/bill-gray/jpl_eph
Standards-Version: 4.7.4
Vcs-Browser: https://salsa.debian.org/debian-astro-team/pluto-jpl-eph
Vcs-Git: https://salsa.debian.org/debian-astro-team/pluto-jpl-eph.git
Build-Depends: debhelper-compat (= 13), libpluto-lunar-dev
Package-List:
 libpluto-jpl-eph-dev deb libdevel optional arch=any
 pluto-jpl-eph deb science optional arch=any
Checksums-Sha1:
 79b87ab1f3fe00852bf6d718658905db9a934ca0 63436 pluto-jpl-eph_0.0~git20240106.0c2782e.orig.tar.xz
 feae181c8e1025a026126a90e1d100ba151846a9 3200 pluto-jpl-eph_0.0~git20240106.0c2782e-1.debian.tar.xz
Checksums-Sha256:
 91d54d29bfa496cfb4ae6a6877af99b4301eba756f6ba95f7e1a5f3c8d2d6f3c 63436 pluto-jpl-eph_0.0~git20240106.0c2782e.orig.tar.xz
 5a0d4203ac29d599647d578b81b09c8d6a33177e3bc77aa758495228e8c3c71d 3200 pluto-jpl-eph_0.0~git20240106.0c2782e-1.debian.tar.xz
Files:
 bac64fa192aba3d5a8e461845665155a 63436 pluto-jpl-eph_0.0~git20240106.0c2782e.orig.tar.xz
 8992ee1e6f2c9fbea585bff44f9e0c01 3200 pluto-jpl-eph_0.0~git20240106.0c2782e-1.debian.tar.xz

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dpkg-source: warning: cannot verify inline signature for ./pluto-jpl-eph_0.0~git20240106.0c2782e-1.dsc: missing OpenPGP keyrings
dpkg-source: info: verifying ./pluto-jpl-eph_0.0~git20240106.0c2782e-1.dsc
dpkg-source: info: skipping absent keyring /usr/share/keyrings/debian-keyring.pgp
dpkg-source: info: skipping absent keyring /usr/share/keyrings/debian-tag2upload.pgp
dpkg-source: info: skipping absent keyring /usr/share/keyrings/debian-nonupload.pgp
dpkg-source: info: skipping absent keyring /usr/share/keyrings/debian-maintainers.pgp
dpkg-source: info: extracting pluto-jpl-eph in /<<PKGBUILDDIR>>
dpkg-source: info: unpacking pluto-jpl-eph_0.0~git20240106.0c2782e.orig.tar.xz
dpkg-source: info: unpacking pluto-jpl-eph_0.0~git20240106.0c2782e-1.debian.tar.xz
dpkg-source: info: using patch list from debian/patches/series
dpkg-source: info: applying hardening.patch

Check disk space
----------------

Sufficient free space for build

User Environment
----------------

APT_CONFIG=/var/lib/sbuild/apt.conf
CONFIG_SITE=/etc/dpkg-cross/cross-config.arm64
DEB_BUILD_OPTIONS=nocheck
HOME=/sbuild-nonexistent
LANG=en_US.UTF-8
LC_ALL=C.UTF-8
LOGNAME=crossqa
OLDPWD=/home/crossqa
PATH=/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games
SBUILD_CONFIG=/tmp/tmp.PVHFQK4JAX/sbuild.conf
SCHROOT_ALIAS_NAME=unstable-amd64-sbuild
SCHROOT_CHROOT_NAME=sid-amd64-sbuild
SCHROOT_COMMAND=env
SCHROOT_GID=1000
SCHROOT_GROUP=crossqa
SCHROOT_SESSION_ID=sid-amd64-sbuild-52220431-57ec-4462-80b1-f096787253b7
SCHROOT_UID=1000
SCHROOT_USER=crossqa
SHELL=/bin/sh
USER=crossqa
XDG_SESSION_CLASS=user

dpkg-buildpackage
-----------------

Command: dpkg-buildpackage --sanitize-env -aarm64 -Pcross,nocheck -us -uc -B -rfakeroot --jobs-try=1
dpkg-buildpackage: info: source package pluto-jpl-eph
dpkg-buildpackage: info: source version 0.0~git20240106.0c2782e-1
dpkg-buildpackage: info: source distribution unstable
dpkg-buildpackage: info: source changed by Andreas Tille <tille@debian.org>
dpkg-architecture: warning: specified GNU system type aarch64-linux-gnu does not match CC system type x86_64-linux-gnu, try setting a correct CC environment variable
 dpkg-source --before-build .
dpkg-buildpackage: info: host architecture arm64
 debian/rules clean
dh clean
   dh_auto_clean
	make -j1 clean
make[1]: Entering directory '/<<PKGBUILDDIR>>'
rm -f *.o
rm -f asc2eph
rm -f dump_eph
rm -f eph2asc
rm -f eph2
rm -f ftest
rm -f masses
rm -f merge_de
rm -f sub_eph
rm -f testeph
rm -f libjpl.a
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_clean
 debian/rules binary-arch
dh binary-arch
   dh_update_autotools_config -a
   dh_autoreconf -a
   dh_auto_configure -a
   dh_auto_build -a
	make -j1 INSTALL="install --strip-program=true" PKG_CONFIG=aarch64-linux-gnu-pkg-config CXX=aarch64-linux-gnu-g\+\+ CC=aarch64-linux-gnu-gcc
make[1]: Entering directory '/<<PKGBUILDDIR>>'
aarch64-linux-gnu-gcc -E -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -mbranch-protection=standard -Wall -pedantic -I. -I/usr/include/pluto -Wall -O3 -Wextra -Werror -pedantic -I ~/include  -c asc2eph.cpp
cc1plus: warning: ‘-Werror=’ argument ‘-Werror=implicit-function-declaration’ is not valid for C++
# 0 "asc2eph.cpp"
# 1 "/<<PKGBUILDDIR>>//"
# 0 "<built-in>"
# 0 "<command-line>"
# 1 "/usr/aarch64-linux-gnu/include/stdc-predef.h" 1 3
# 0 "<command-line>" 2
# 1 "asc2eph.cpp"
# 87 "asc2eph.cpp"
# 1 "/usr/aarch64-linux-gnu/include/stdio.h" 1 3
# 28 "/usr/aarch64-linux-gnu/include/stdio.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/libc-header-start.h" 1 3
# 33 "/usr/aarch64-linux-gnu/include/bits/libc-header-start.h" 3
# 1 "/usr/aarch64-linux-gnu/include/features.h" 1 3
# 415 "/usr/aarch64-linux-gnu/include/features.h" 3
# 1 "/usr/aarch64-linux-gnu/include/features-time64.h" 1 3
# 20 "/usr/aarch64-linux-gnu/include/features-time64.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3
# 21 "/usr/aarch64-linux-gnu/include/features-time64.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/timesize.h" 1 3
# 22 "/usr/aarch64-linux-gnu/include/features-time64.h" 2 3
# 416 "/usr/aarch64-linux-gnu/include/features.h" 2 3
# 523 "/usr/aarch64-linux-gnu/include/features.h" 3
# 1 "/usr/aarch64-linux-gnu/include/sys/cdefs.h" 1 3
# 730 "/usr/aarch64-linux-gnu/include/sys/cdefs.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3
# 731 "/usr/aarch64-linux-gnu/include/sys/cdefs.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/long-double.h" 1 3
# 732 "/usr/aarch64-linux-gnu/include/sys/cdefs.h" 2 3
# 524 "/usr/aarch64-linux-gnu/include/features.h" 2 3
# 547 "/usr/aarch64-linux-gnu/include/features.h" 3
# 1 "/usr/aarch64-linux-gnu/include/gnu/stubs.h" 1 3




# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3
# 6 "/usr/aarch64-linux-gnu/include/gnu/stubs.h" 2 3


# 1 "/usr/aarch64-linux-gnu/include/gnu/stubs-lp64.h" 1 3
# 9 "/usr/aarch64-linux-gnu/include/gnu/stubs.h" 2 3
# 548 "/usr/aarch64-linux-gnu/include/features.h" 2 3
# 34 "/usr/aarch64-linux-gnu/include/bits/libc-header-start.h" 2 3
# 29 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3


# 30 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern "C" {



# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 1 3 4
# 229 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 3 4
typedef long unsigned int size_t;
# 35 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3


# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stdarg.h" 1 3 4
# 40 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stdarg.h" 3 4
typedef __builtin_va_list __gnuc_va_list;
# 38 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3

# 1 "/usr/aarch64-linux-gnu/include/bits/types.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/bits/types.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3
# 28 "/usr/aarch64-linux-gnu/include/bits/types.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/timesize.h" 1 3
# 29 "/usr/aarch64-linux-gnu/include/bits/types.h" 2 3


typedef unsigned char __u_char;
typedef unsigned short int __u_short;
typedef unsigned int __u_int;
typedef unsigned long int __u_long;


typedef signed char __int8_t;
typedef unsigned char __uint8_t;
typedef signed short int __int16_t;
typedef unsigned short int __uint16_t;
typedef signed int __int32_t;
typedef unsigned int __uint32_t;

typedef signed long int __int64_t;
typedef unsigned long int __uint64_t;






typedef __int8_t __int_least8_t;
typedef __uint8_t __uint_least8_t;
typedef __int16_t __int_least16_t;
typedef __uint16_t __uint_least16_t;
typedef __int32_t __int_least32_t;
typedef __uint32_t __uint_least32_t;
typedef __int64_t __int_least64_t;
typedef __uint64_t __uint_least64_t;



typedef long int __quad_t;
typedef unsigned long int __u_quad_t;







typedef long int __intmax_t;
typedef unsigned long int __uintmax_t;
# 141 "/usr/aarch64-linux-gnu/include/bits/types.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/typesizes.h" 1 3
# 142 "/usr/aarch64-linux-gnu/include/bits/types.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/time64.h" 1 3
# 143 "/usr/aarch64-linux-gnu/include/bits/types.h" 2 3


typedef unsigned long int __dev_t;
typedef unsigned int __uid_t;
typedef unsigned int __gid_t;
typedef unsigned long int __ino_t;
typedef unsigned long int __ino64_t;
typedef unsigned int __mode_t;
typedef unsigned int __nlink_t;
typedef long int __off_t;
typedef long int __off64_t;
typedef int __pid_t;
typedef struct { int __val[2]; } __fsid_t;
typedef long int __clock_t;
typedef unsigned long int __rlim_t;
typedef unsigned long int __rlim64_t;
typedef unsigned int __id_t;
typedef long int __time_t;
typedef unsigned int __useconds_t;
typedef long int __suseconds_t;
typedef long int __suseconds64_t;

typedef int __daddr_t;
typedef int __key_t;


typedef int __clockid_t;


typedef void * __timer_t;


typedef int __blksize_t;




typedef long int __blkcnt_t;
typedef long int __blkcnt64_t;


typedef unsigned long int __fsblkcnt_t;
typedef unsigned long int __fsblkcnt64_t;


typedef unsigned long int __fsfilcnt_t;
typedef unsigned long int __fsfilcnt64_t;


typedef long int __fsword_t;

typedef long int __ssize_t;


typedef long int __syscall_slong_t;

typedef unsigned long int __syscall_ulong_t;



typedef __off64_t __loff_t;
typedef char *__caddr_t;


typedef long int __intptr_t;


typedef unsigned int __socklen_t;




typedef int __sig_atomic_t;
# 40 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/__fpos_t.h" 1 3




# 1 "/usr/aarch64-linux-gnu/include/bits/types/__mbstate_t.h" 1 3
# 13 "/usr/aarch64-linux-gnu/include/bits/types/__mbstate_t.h" 3
typedef struct
{
  int __count;
  union
  {
    unsigned int __wch;
    char __wchb[4];
  } __value;
} __mbstate_t;
# 6 "/usr/aarch64-linux-gnu/include/bits/types/__fpos_t.h" 2 3




typedef struct _G_fpos_t
{
  __off_t __pos;
  __mbstate_t __state;
} __fpos_t;
# 41 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/__fpos64_t.h" 1 3
# 10 "/usr/aarch64-linux-gnu/include/bits/types/__fpos64_t.h" 3
typedef struct _G_fpos64_t
{
  __off64_t __pos;
  __mbstate_t __state;
} __fpos64_t;
# 42 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/__FILE.h" 1 3



struct _IO_FILE;
typedef struct _IO_FILE __FILE;
# 43 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/FILE.h" 1 3



struct _IO_FILE;


typedef struct _IO_FILE FILE;
# 44 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/struct_FILE.h" 1 3
# 35 "/usr/aarch64-linux-gnu/include/bits/types/struct_FILE.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3
# 36 "/usr/aarch64-linux-gnu/include/bits/types/struct_FILE.h" 2 3

struct _IO_FILE;
struct _IO_marker;
struct _IO_codecvt;
struct _IO_wide_data;




typedef void _IO_lock_t;





struct _IO_FILE
{
  int _flags;


  char *_IO_read_ptr;
  char *_IO_read_end;
  char *_IO_read_base;
  char *_IO_write_base;
  char *_IO_write_ptr;
  char *_IO_write_end;
  char *_IO_buf_base;
  char *_IO_buf_end;


  char *_IO_save_base;
  char *_IO_backup_base;
  char *_IO_save_end;

  struct _IO_marker *_markers;

  struct _IO_FILE *_chain;

  int _fileno;
  int _flags2:24;

  char _short_backupbuf[1];
  __off_t _old_offset;


  unsigned short _cur_column;
  signed char _vtable_offset;
  char _shortbuf[1];

  _IO_lock_t *_lock;







  __off64_t _offset;

  struct _IO_codecvt *_codecvt;
  struct _IO_wide_data *_wide_data;
  struct _IO_FILE *_freeres_list;
  void *_freeres_buf;
  struct _IO_FILE **_prevchain;
  int _mode;

  int _unused3;

  __uint64_t _total_written;




  char _unused2[12 * sizeof (int) - 5 * sizeof (void *)];
};
# 45 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3


# 1 "/usr/aarch64-linux-gnu/include/bits/types/cookie_io_functions_t.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/bits/types/cookie_io_functions_t.h" 3
typedef __ssize_t cookie_read_function_t (void *__cookie, char *__buf,
                                          size_t __nbytes);







typedef __ssize_t cookie_write_function_t (void *__cookie, const char *__buf,
                                           size_t __nbytes);







typedef int cookie_seek_function_t (void *__cookie, __off64_t *__pos, int __w);


typedef int cookie_close_function_t (void *__cookie);






typedef struct _IO_cookie_io_functions_t
{
  cookie_read_function_t *read;
  cookie_write_function_t *write;
  cookie_seek_function_t *seek;
  cookie_close_function_t *close;
} cookie_io_functions_t;
# 48 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3





typedef __gnuc_va_list va_list;
# 64 "/usr/aarch64-linux-gnu/include/stdio.h" 3
typedef __off_t off_t;






typedef __off64_t off64_t;






typedef __ssize_t ssize_t;






typedef __fpos_t fpos_t;




typedef __fpos64_t fpos64_t;
# 129 "/usr/aarch64-linux-gnu/include/stdio.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/stdio_lim.h" 1 3
# 130 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3
# 149 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern FILE *stdin;
extern FILE *stdout;
extern FILE *stderr;






extern int remove (const char *__filename) noexcept (true);

extern int rename (const char *__old, const char *__new) noexcept (true);



extern int renameat (int __oldfd, const char *__old, int __newfd,
       const char *__new) noexcept (true);
# 179 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int renameat2 (int __oldfd, const char *__old, int __newfd,
        const char *__new, unsigned int __flags) noexcept (true);






extern int fclose (FILE *__stream) __attribute__ ((__nonnull__ (1)));
# 197 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern FILE *tmpfile (void)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) __attribute__ ((__warn_unused_result__));
# 209 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern FILE *tmpfile64 (void)
   __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) __attribute__ ((__warn_unused_result__));



extern char *tmpnam (char[20]) noexcept (true) __attribute__ ((__warn_unused_result__));




extern char *tmpnam_r (char __s[20]) noexcept (true) __attribute__ ((__warn_unused_result__));
# 231 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern char *tempnam (const char *__dir, const char *__pfx)
   noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__warn_unused_result__)) __attribute__ ((__malloc__ (__builtin_free, 1)));






extern int fflush (FILE *__stream);
# 248 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int fflush_unlocked (FILE *__stream);
# 258 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int fcloseall (void);
# 267 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern FILE *fopen (const char *__restrict __filename,
      const char *__restrict __modes)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) __attribute__ ((__warn_unused_result__));




extern FILE *freopen (const char *__restrict __filename,
        const char *__restrict __modes,
        FILE *__restrict __stream) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (3)));
# 292 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern FILE *fopen64 (const char *__restrict __filename,
        const char *__restrict __modes)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) __attribute__ ((__warn_unused_result__));
extern FILE *freopen64 (const char *__restrict __filename,
   const char *__restrict __modes,
   FILE *__restrict __stream) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (3)));




extern FILE *fdopen (int __fd, const char *__modes) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) __attribute__ ((__warn_unused_result__));





extern FILE *fopencookie (void *__restrict __magic_cookie,
     const char *__restrict __modes,
     cookie_io_functions_t __io_funcs) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) __attribute__ ((__warn_unused_result__));




extern FILE *fmemopen (void *__s, size_t __len, const char *__modes)
  noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) __attribute__ ((__warn_unused_result__));




extern FILE *open_memstream (char **__bufloc, size_t *__sizeloc) noexcept (true)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (fclose, 1))) __attribute__ ((__warn_unused_result__));
# 337 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern void setbuf (FILE *__restrict __stream, char *__restrict __buf) noexcept (true)
  __attribute__ ((__nonnull__ (1)));



extern int setvbuf (FILE *__restrict __stream, char *__restrict __buf,
      int __modes, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)));




extern void setbuffer (FILE *__restrict __stream, char *__restrict __buf,
         size_t __size) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void setlinebuf (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));







extern int fprintf (FILE *__restrict __stream,
      const char *__restrict __format, ...) __attribute__ ((__nonnull__ (1)));




extern int printf (const char *__restrict __format, ...);

extern int sprintf (char *__restrict __s,
      const char *__restrict __format, ...) noexcept (true);





extern int vfprintf (FILE *__restrict __s, const char *__restrict __format,
       __gnuc_va_list __arg) __attribute__ ((__nonnull__ (1)));




extern int vprintf (const char *__restrict __format, __gnuc_va_list __arg);

extern int vsprintf (char *__restrict __s, const char *__restrict __format,
       __gnuc_va_list __arg) noexcept (true);



extern int snprintf (char *__restrict __s, size_t __maxlen,
       const char *__restrict __format, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 4)));

extern int vsnprintf (char *__restrict __s, size_t __maxlen,
        const char *__restrict __format, __gnuc_va_list __arg)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 0)));





extern int vasprintf (char **__restrict __ptr, const char *__restrict __f,
        __gnuc_va_list __arg)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 0))) __attribute__ ((__warn_unused_result__));
extern int __asprintf (char **__restrict __ptr,
         const char *__restrict __fmt, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 3))) __attribute__ ((__warn_unused_result__));
extern int asprintf (char **__restrict __ptr,
       const char *__restrict __fmt, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 3))) __attribute__ ((__warn_unused_result__));




extern int vdprintf (int __fd, const char *__restrict __fmt,
       __gnuc_va_list __arg)
     __attribute__ ((__format__ (__printf__, 2, 0)));
extern int dprintf (int __fd, const char *__restrict __fmt, ...)
     __attribute__ ((__format__ (__printf__, 2, 3)));







extern int fscanf (FILE *__restrict __stream,
     const char *__restrict __format, ...) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));




extern int scanf (const char *__restrict __format, ...) __attribute__ ((__warn_unused_result__));

extern int sscanf (const char *__restrict __s,
     const char *__restrict __format, ...) noexcept (true);





# 1 "/usr/aarch64-linux-gnu/include/bits/floatn.h" 1 3
# 23 "/usr/aarch64-linux-gnu/include/bits/floatn.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/long-double.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/floatn.h" 2 3
# 95 "/usr/aarch64-linux-gnu/include/bits/floatn.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/floatn-common.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/floatn-common.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/long-double.h" 1 3
# 25 "/usr/aarch64-linux-gnu/include/bits/floatn-common.h" 2 3
# 96 "/usr/aarch64-linux-gnu/include/bits/floatn.h" 2 3
# 441 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3




extern int fscanf (FILE *__restrict __stream, const char *__restrict __format, ...) __asm__ ("" "__isoc23_fscanf")

                          __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));
extern int scanf (const char *__restrict __format, ...) __asm__ ("" "__isoc23_scanf")
                         __attribute__ ((__warn_unused_result__));
extern int sscanf (const char *__restrict __s, const char *__restrict __format, ...) noexcept (true) __asm__ ("" "__isoc23_sscanf")

                      ;
# 493 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int vfscanf (FILE *__restrict __s, const char *__restrict __format,
      __gnuc_va_list __arg)
     __attribute__ ((__format__ (__scanf__, 2, 0))) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));





extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg)
     __attribute__ ((__format__ (__scanf__, 1, 0))) __attribute__ ((__warn_unused_result__));


extern int vsscanf (const char *__restrict __s,
      const char *__restrict __format, __gnuc_va_list __arg)
     noexcept (true) __attribute__ ((__format__ (__scanf__, 2, 0)));






extern int vfscanf (FILE *__restrict __s, const char *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc23_vfscanf")



     __attribute__ ((__format__ (__scanf__, 2, 0))) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));
extern int vscanf (const char *__restrict __format, __gnuc_va_list __arg) __asm__ ("" "__isoc23_vscanf")

     __attribute__ ((__format__ (__scanf__, 1, 0))) __attribute__ ((__warn_unused_result__));
extern int vsscanf (const char *__restrict __s, const char *__restrict __format, __gnuc_va_list __arg) noexcept (true) __asm__ ("" "__isoc23_vsscanf")



     __attribute__ ((__format__ (__scanf__, 2, 0)));
# 578 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int fgetc (FILE *__stream) __attribute__ ((__nonnull__ (1)));
extern int getc (FILE *__stream) __attribute__ ((__nonnull__ (1)));





extern int getchar (void);






extern int getc_unlocked (FILE *__stream) __attribute__ ((__nonnull__ (1)));
extern int getchar_unlocked (void);
# 603 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int fgetc_unlocked (FILE *__stream) __attribute__ ((__nonnull__ (1)));







extern int fputc (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));
extern int putc (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));





extern int putchar (int __c);
# 627 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int fputc_unlocked (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));







extern int putc_unlocked (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));
extern int putchar_unlocked (int __c);






extern int getw (FILE *__stream) __attribute__ ((__nonnull__ (1)));


extern int putw (int __w, FILE *__stream) __attribute__ ((__nonnull__ (2)));







extern char *fgets (char *__restrict __s, int __n, FILE *__restrict __stream)
     __attribute__ ((__warn_unused_result__)) __attribute__ ((__access__ (__write_only__, 1, 2))) __attribute__ ((__nonnull__ (3)));
# 677 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern char *fgets_unlocked (char *__restrict __s, int __n,
        FILE *__restrict __stream) __attribute__ ((__warn_unused_result__))
    __attribute__ ((__access__ (__write_only__, 1, 2))) __attribute__ ((__nonnull__ (3)));
# 689 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern __ssize_t __getdelim (char **__restrict __lineptr,
                             size_t *__restrict __n, int __delimiter,
                             FILE *__restrict __stream) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (4)));
extern __ssize_t getdelim (char **__restrict __lineptr,
                           size_t *__restrict __n, int __delimiter,
                           FILE *__restrict __stream) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (4)));


extern __ssize_t getline (char **__restrict __lineptr,
                          size_t *__restrict __n,
                          FILE *__restrict __stream) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (3)));







extern int fputs (const char *__restrict __s, FILE *__restrict __stream)
  __attribute__ ((__nonnull__ (2)));





extern int puts (const char *__s);






extern int ungetc (int __c, FILE *__stream) __attribute__ ((__nonnull__ (2)));






extern size_t fread (void *__restrict __ptr, size_t __size,
       size_t __n, FILE *__restrict __stream) __attribute__ ((__warn_unused_result__))
  __attribute__ ((__nonnull__ (4)));




extern size_t fwrite (const void *__restrict __ptr, size_t __size,
        size_t __n, FILE *__restrict __s) __attribute__ ((__nonnull__ (4)));
# 745 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int fputs_unlocked (const char *__restrict __s,
      FILE *__restrict __stream) __attribute__ ((__nonnull__ (2)));
# 756 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern size_t fread_unlocked (void *__restrict __ptr, size_t __size,
         size_t __n, FILE *__restrict __stream) __attribute__ ((__warn_unused_result__))
  __attribute__ ((__nonnull__ (4)));
extern size_t fwrite_unlocked (const void *__restrict __ptr, size_t __size,
          size_t __n, FILE *__restrict __stream)
  __attribute__ ((__nonnull__ (4)));







extern int fseek (FILE *__stream, long int __off, int __whence)
  __attribute__ ((__nonnull__ (1)));




extern long int ftell (FILE *__stream) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));




extern void rewind (FILE *__stream) __attribute__ ((__nonnull__ (1)));
# 793 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int fseeko (FILE *__stream, __off_t __off, int __whence)
  __attribute__ ((__nonnull__ (1)));




extern __off_t ftello (FILE *__stream) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));
# 819 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int fgetpos (FILE *__restrict __stream, fpos_t *__restrict __pos)
  __attribute__ ((__nonnull__ (1)));




extern int fsetpos (FILE *__stream, const fpos_t *__pos) __attribute__ ((__nonnull__ (1)));
# 841 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int fseeko64 (FILE *__stream, __off64_t __off, int __whence)
  __attribute__ ((__nonnull__ (1)));
extern __off64_t ftello64 (FILE *__stream) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));
extern int fgetpos64 (FILE *__restrict __stream, fpos64_t *__restrict __pos)
  __attribute__ ((__nonnull__ (1)));
extern int fsetpos64 (FILE *__stream, const fpos64_t *__pos) __attribute__ ((__nonnull__ (1)));



extern void clearerr (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));

extern int feof (FILE *__stream) noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));

extern int ferror (FILE *__stream) noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));



extern void clearerr_unlocked (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));
extern int feof_unlocked (FILE *__stream) noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));
extern int ferror_unlocked (FILE *__stream) noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));







extern void perror (const char *__s) __attribute__ ((__cold__));




extern int fileno (FILE *__stream) noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));




extern int fileno_unlocked (FILE *__stream) noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));
# 887 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int pclose (FILE *__stream) __attribute__ ((__nonnull__ (1)));





extern FILE *popen (const char *__command, const char *__modes)
  __attribute__ ((__malloc__)) __attribute__ ((__malloc__ (pclose, 1))) __attribute__ ((__warn_unused_result__));






extern char *ctermid (char *__s) noexcept (true)
  __attribute__ ((__access__ (__write_only__, 1)));





extern char *cuserid (char *__s)
  __attribute__ ((__access__ (__write_only__, 1)));




struct obstack;


extern int obstack_printf (struct obstack *__restrict __obstack,
      const char *__restrict __format, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 3)));
extern int obstack_vprintf (struct obstack *__restrict __obstack,
       const char *__restrict __format,
       __gnuc_va_list __args)
     noexcept (true) __attribute__ ((__format__ (__printf__, 2, 0)));







extern void flockfile (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));



extern int ftrylockfile (FILE *__stream) noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (1)));


extern void funlockfile (FILE *__stream) noexcept (true) __attribute__ ((__nonnull__ (1)));
# 949 "/usr/aarch64-linux-gnu/include/stdio.h" 3
extern int __uflow (FILE *);
extern int __overflow (FILE *, int);



# 1 "/usr/aarch64-linux-gnu/include/bits/stdio2-decl.h" 1 3
# 26 "/usr/aarch64-linux-gnu/include/bits/stdio2-decl.h" 3
extern int __sprintf_chk (char *__restrict __s, int __flag, size_t __slen,
     const char *__restrict __format, ...) noexcept (true)
    __attribute__ ((__access__ (__write_only__, 1, 3)));
extern int __vsprintf_chk (char *__restrict __s, int __flag, size_t __slen,
      const char *__restrict __format,
      __gnuc_va_list __ap) noexcept (true)
    __attribute__ ((__access__ (__write_only__, 1, 3)));



extern int __snprintf_chk (char *__restrict __s, size_t __n, int __flag,
      size_t __slen, const char *__restrict __format,
      ...) noexcept (true)
    __attribute__ ((__access__ (__write_only__, 1, 2)));
extern int __vsnprintf_chk (char *__restrict __s, size_t __n, int __flag,
       size_t __slen, const char *__restrict __format,
       __gnuc_va_list __ap) noexcept (true)
    __attribute__ ((__access__ (__write_only__, 1, 2)));





extern int __fprintf_chk (FILE *__restrict __stream, int __flag,
     const char *__restrict __format, ...)
    __attribute__ ((__nonnull__ (1)));
extern int __printf_chk (int __flag, const char *__restrict __format, ...);
extern int __vfprintf_chk (FILE *__restrict __stream, int __flag,
      const char *__restrict __format,
      __gnuc_va_list __ap) __attribute__ ((__nonnull__ (1)));
extern int __vprintf_chk (int __flag, const char *__restrict __format,
     __gnuc_va_list __ap);


extern int __dprintf_chk (int __fd, int __flag, const char *__restrict __fmt,
     ...) __attribute__ ((__format__ (__printf__, 3, 4)));
extern int __vdprintf_chk (int __fd, int __flag,
      const char *__restrict __fmt, __gnuc_va_list __arg)
     __attribute__ ((__format__ (__printf__, 3, 0)));




extern int __asprintf_chk (char **__restrict __ptr, int __flag,
      const char *__restrict __fmt, ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 4))) __attribute__ ((__warn_unused_result__));
extern int __vasprintf_chk (char **__restrict __ptr, int __flag,
       const char *__restrict __fmt, __gnuc_va_list __arg)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 0))) __attribute__ ((__warn_unused_result__));
extern int __obstack_printf_chk (struct obstack *__restrict __obstack,
     int __flag, const char *__restrict __format,
     ...)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 4)));
extern int __obstack_vprintf_chk (struct obstack *__restrict __obstack,
      int __flag,
      const char *__restrict __format,
      __gnuc_va_list __args)
     noexcept (true) __attribute__ ((__format__ (__printf__, 3, 0)));
# 96 "/usr/aarch64-linux-gnu/include/bits/stdio2-decl.h" 3
extern char *__fgets_alias (char *__restrict __s, int __n, FILE *__restrict __stream) __asm__ ("" "fgets")


    __attribute__ ((__warn_unused_result__)) __attribute__ ((__access__ (__write_only__, 1, 2)));
extern char *__fgets_chk_warn (char *__restrict __s, size_t __size, int __n, FILE *__restrict __stream) __asm__ ("" "__fgets_chk")


     __attribute__ ((__warn_unused_result__)) __attribute__((__warning__ ("fgets called with bigger size than length " "of destination buffer")))
                                 ;

extern char *__fgets_chk (char *__restrict __s, size_t __size, int __n,
     FILE *__restrict __stream)
    __attribute__ ((__warn_unused_result__)) __attribute__ ((__access__ (__write_only__, 1, 3))) __attribute__ ((__nonnull__ (4)));

extern size_t __fread_alias (void *__restrict __ptr, size_t __size, size_t __n, FILE *__restrict __stream) __asm__ ("" "fread")


            __attribute__ ((__warn_unused_result__));
extern size_t __fread_chk_warn (void *__restrict __ptr, size_t __ptrlen, size_t __size, size_t __n, FILE *__restrict __stream) __asm__ ("" "__fread_chk")




     __attribute__ ((__warn_unused_result__)) __attribute__((__warning__ ("fread called with bigger size * nmemb than length " "of destination buffer")))
                                 ;

extern size_t __fread_chk (void *__restrict __ptr, size_t __ptrlen,
      size_t __size, size_t __n,
      FILE *__restrict __stream) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (5)));


extern char *__fgets_unlocked_alias (char *__restrict __s, int __n, FILE *__restrict __stream) __asm__ ("" "fgets_unlocked")


    __attribute__ ((__warn_unused_result__)) __attribute__ ((__access__ (__write_only__, 1, 2)));
extern char *__fgets_unlocked_chk_warn (char *__restrict __s, size_t __size, int __n, FILE *__restrict __stream) __asm__ ("" "__fgets_unlocked_chk")


     __attribute__ ((__warn_unused_result__)) __attribute__((__warning__ ("fgets_unlocked called with bigger size than length " "of destination buffer")))
                                 ;


extern char *__fgets_unlocked_chk (char *__restrict __s, size_t __size,
       int __n, FILE *__restrict __stream)
    __attribute__ ((__warn_unused_result__)) __attribute__ ((__access__ (__write_only__, 1, 3))) __attribute__ ((__nonnull__ (4)));




extern size_t __fread_unlocked_alias (void *__restrict __ptr, size_t __size, size_t __n, FILE *__restrict __stream) __asm__ ("" "fread_unlocked")


                     __attribute__ ((__warn_unused_result__));
extern size_t __fread_unlocked_chk_warn (void *__restrict __ptr, size_t __ptrlen, size_t __size, size_t __n, FILE *__restrict __stream) __asm__ ("" "__fread_unlocked_chk")




     __attribute__ ((__warn_unused_result__)) __attribute__((__warning__ ("fread_unlocked called with bigger size * nmemb than " "length of destination buffer")))
                                        ;

extern size_t __fread_unlocked_chk (void *__restrict __ptr, size_t __ptrlen,
        size_t __size, size_t __n,
        FILE *__restrict __stream)
    __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (5)));
# 955 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3
# 966 "/usr/aarch64-linux-gnu/include/stdio.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/stdio.h" 1 3
# 46 "/usr/aarch64-linux-gnu/include/bits/stdio.h" 3
extern __inline __attribute__ ((__gnu_inline__)) int
getchar (void)
{
  return getc (stdin);
}




extern __inline __attribute__ ((__gnu_inline__)) int
fgetc_unlocked (FILE *__fp)
{
  return (__builtin_expect (((__fp)->_IO_read_ptr >= (__fp)->_IO_read_end), 0) ? __uflow (__fp) : *(unsigned char *) (__fp)->_IO_read_ptr++);
}





extern __inline __attribute__ ((__gnu_inline__)) int
getc_unlocked (FILE *__fp)
{
  return (__builtin_expect (((__fp)->_IO_read_ptr >= (__fp)->_IO_read_end), 0) ? __uflow (__fp) : *(unsigned char *) (__fp)->_IO_read_ptr++);
}


extern __inline __attribute__ ((__gnu_inline__)) int
getchar_unlocked (void)
{
  return (__builtin_expect (((stdin)->_IO_read_ptr >= (stdin)->_IO_read_end), 0) ? __uflow (stdin) : *(unsigned char *) (stdin)->_IO_read_ptr++);
}




extern __inline __attribute__ ((__gnu_inline__)) int
putchar (int __c)
{
  return putc (__c, stdout);
}




extern __inline __attribute__ ((__gnu_inline__)) int
fputc_unlocked (int __c, FILE *__stream)
{
  return (__builtin_expect (((__stream)->_IO_write_ptr >= (__stream)->_IO_write_end), 0) ? __overflow (__stream, (unsigned char) (__c)) : (unsigned char) (*(__stream)->_IO_write_ptr++ = (__c)));
}





extern __inline __attribute__ ((__gnu_inline__)) int
putc_unlocked (int __c, FILE *__stream)
{
  return (__builtin_expect (((__stream)->_IO_write_ptr >= (__stream)->_IO_write_end), 0) ? __overflow (__stream, (unsigned char) (__c)) : (unsigned char) (*(__stream)->_IO_write_ptr++ = (__c)));
}


extern __inline __attribute__ ((__gnu_inline__)) int
putchar_unlocked (int __c)
{
  return (__builtin_expect (((stdout)->_IO_write_ptr >= (stdout)->_IO_write_end), 0) ? __overflow (stdout, (unsigned char) (__c)) : (unsigned char) (*(stdout)->_IO_write_ptr++ = (__c)));
}





extern __inline __attribute__ ((__gnu_inline__)) __ssize_t
getline (char **__lineptr, size_t *__n, FILE *__stream)
{
  return __getdelim (__lineptr, __n, '\n', __stream);
}





extern __inline __attribute__ ((__gnu_inline__)) int
__attribute__ ((__leaf__)) feof_unlocked (FILE *__stream) noexcept (true)
{
  return (((__stream)->_flags & 0x0010) != 0);
}


extern __inline __attribute__ ((__gnu_inline__)) int
__attribute__ ((__leaf__)) ferror_unlocked (FILE *__stream) noexcept (true)
{
  return (((__stream)->_flags & 0x0020) != 0);
}
# 967 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3



# 1 "/usr/aarch64-linux-gnu/include/bits/stdio2.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/bits/stdio2.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) sprintf (char *__restrict __s, const char *__restrict __fmt, ...) noexcept (true)
{
  return __builtin___sprintf_chk (__s, 2 - 1,
      __builtin_object_size (__s, 2 > 1), __fmt,
      __builtin_va_arg_pack ());
}
# 54 "/usr/aarch64-linux-gnu/include/bits/stdio2.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) vsprintf (char * __restrict __s, const char *__restrict __fmt, __gnuc_va_list __ap) noexcept (true)

{
  return __builtin___vsprintf_chk (__s, 2 - 1,
       __builtin_object_size (__s, 2 > 1), __fmt, __ap);
}



extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) snprintf (char *__restrict __s, size_t __n, const char *__restrict __fmt, ...) noexcept (true)

{
  return __builtin___snprintf_chk (__s, __n, 2 - 1,
       __builtin_object_size (__s, 2 > 1), __fmt,
       __builtin_va_arg_pack ());
}
# 92 "/usr/aarch64-linux-gnu/include/bits/stdio2.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) vsnprintf (char * __restrict __s, size_t __n, const char *__restrict __fmt, __gnuc_va_list __ap) noexcept (true)


    


{
  return __builtin___vsnprintf_chk (__s, __n, 2 - 1,
        __builtin_object_size (__s, 2 > 1), __fmt, __ap);
}





extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__nonnull__ (1))) int
fprintf (FILE *__restrict __stream, const char *__restrict __fmt, ...)
{
  return __fprintf_chk (__stream, 2 - 1, __fmt,
   __builtin_va_arg_pack ());
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
printf (const char *__restrict __fmt, ...)
{
  return __printf_chk (2 - 1, __fmt, __builtin_va_arg_pack ());
}
# 151 "/usr/aarch64-linux-gnu/include/bits/stdio2.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
vprintf (const char * __restrict __fmt,
  __gnuc_va_list __ap)
{

  return __vfprintf_chk (stdout, 2 - 1, __fmt, __ap);



}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__nonnull__ (1))) int
vfprintf (FILE *__restrict __stream,
   const char *__restrict __fmt, __gnuc_va_list __ap)
{
  return __vfprintf_chk (__stream, 2 - 1, __fmt, __ap);
}



extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
dprintf (int __fd, const char *__restrict __fmt, ...)
{
  return __dprintf_chk (__fd, 2 - 1, __fmt,
   __builtin_va_arg_pack ());
}
# 194 "/usr/aarch64-linux-gnu/include/bits/stdio2.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
vdprintf (int __fd, const char *__restrict __fmt, __gnuc_va_list __ap)
{
  return __vdprintf_chk (__fd, 2 - 1, __fmt, __ap);
}




extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) asprintf (char **__restrict __ptr, const char *__restrict __fmt, ...) noexcept (true)
{
  return __asprintf_chk (__ptr, 2 - 1, __fmt,
    __builtin_va_arg_pack ());
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) __asprintf (char **__restrict __ptr, const char *__restrict __fmt, ...) noexcept (true)

{
  return __asprintf_chk (__ptr, 2 - 1, __fmt,
    __builtin_va_arg_pack ());
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) obstack_printf (struct obstack *__restrict __obstack, const char *__restrict __fmt, ...) noexcept (true)

{
  return __obstack_printf_chk (__obstack, 2 - 1, __fmt,
          __builtin_va_arg_pack ());
}
# 271 "/usr/aarch64-linux-gnu/include/bits/stdio2.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) vasprintf (char **__restrict __ptr, const char *__restrict __fmt, __gnuc_va_list __ap) noexcept (true)

{
  return __vasprintf_chk (__ptr, 2 - 1, __fmt, __ap);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) obstack_vprintf (struct obstack *__restrict __obstack, const char *__restrict __fmt, __gnuc_va_list __ap) noexcept (true)

{
  return __obstack_vprintf_chk (__obstack, 2 - 1, __fmt,
    __ap);
}
# 303 "/usr/aarch64-linux-gnu/include/bits/stdio2.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) __attribute__ ((__access__ (__write_only__, 1, 2)))
__attribute__ ((__nonnull__ (3))) char *
fgets (char * __restrict __s, int __n,
       FILE *__restrict __stream)
    


{
  size_t __sz = __builtin_object_size (__s, 2 > 1);
  if (((__builtin_constant_p (__sz) && (__sz) == (long unsigned int) -1) || (((__typeof (__n)) 0 < (__typeof (__n)) -1 || (__builtin_constant_p (__n) && (__n) > 0)) && __builtin_constant_p ((((long unsigned int) (__n)) <= ((__sz)) / ((sizeof (char))))) && (((long unsigned int) (__n)) <= ((__sz)) / ((sizeof (char)))))))
    return __fgets_alias (__s, __n, __stream);

  if ((((__typeof (__n)) 0 < (__typeof (__n)) -1 || (__builtin_constant_p (__n) && (__n) > 0)) && __builtin_constant_p ((((long unsigned int) (__n)) <= (__sz) / (sizeof (char)))) && !(((long unsigned int) (__n)) <= (__sz) / (sizeof (char)))))
    return __fgets_chk_warn (__s, __sz, __n, __stream);

  return __fgets_chk (__s, __sz, __n, __stream);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (4))) size_t
fread (void * __restrict __ptr,
       size_t __size, size_t __n, FILE *__restrict __stream)
    



{
  size_t __sz = __builtin_object_size (__ptr, 0);
  if (((__builtin_constant_p (__sz) && (__sz) == (long unsigned int) -1) || (((__typeof (__n)) 0 < (__typeof (__n)) -1 || (__builtin_constant_p (__n) && (__n) > 0)) && __builtin_constant_p ((((long unsigned int) (__n)) <= ((__sz)) / ((__size)))) && (((long unsigned int) (__n)) <= ((__sz)) / ((__size))))))
    return __fread_alias (__ptr, __size, __n, __stream);

  if ((((__typeof (__n)) 0 < (__typeof (__n)) -1 || (__builtin_constant_p (__n) && (__n) > 0)) && __builtin_constant_p ((((long unsigned int) (__n)) <= (__sz) / (__size))) && !(((long unsigned int) (__n)) <= (__sz) / (__size))))
    return __fread_chk_warn (__ptr, __sz, __size, __n, __stream);

  return __fread_chk (__ptr, __sz, __size, __n, __stream);
}


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) __attribute__ ((__access__ (__write_only__, 1, 2)))
__attribute__ ((__nonnull__ (3))) char *
fgets_unlocked (char * __restrict __s,
  int __n, FILE *__restrict __stream)
    


{
  size_t __sz = __builtin_object_size (__s, 2 > 1);
  if (((__builtin_constant_p (__sz) && (__sz) == (long unsigned int) -1) || (((__typeof (__n)) 0 < (__typeof (__n)) -1 || (__builtin_constant_p (__n) && (__n) > 0)) && __builtin_constant_p ((((long unsigned int) (__n)) <= ((__sz)) / ((sizeof (char))))) && (((long unsigned int) (__n)) <= ((__sz)) / ((sizeof (char)))))))
    return __fgets_unlocked_alias (__s, __n, __stream);

  if ((((__typeof (__n)) 0 < (__typeof (__n)) -1 || (__builtin_constant_p (__n) && (__n) > 0)) && __builtin_constant_p ((((long unsigned int) (__n)) <= (__sz) / (sizeof (char)))) && !(((long unsigned int) (__n)) <= (__sz) / (sizeof (char)))))
    return __fgets_unlocked_chk_warn (__s, __sz, __n, __stream);

  return __fgets_unlocked_chk (__s, __sz, __n, __stream);
}




extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) __attribute__ ((__nonnull__ (4))) size_t
fread_unlocked (void * __restrict __ptr,
  size_t __size, size_t __n, FILE *__restrict __stream)
    



{
  size_t __sz = __builtin_object_size (__ptr, 0);
  if (((__builtin_constant_p (__sz) && (__sz) == (long unsigned int) -1) || (((__typeof (__n)) 0 < (__typeof (__n)) -1 || (__builtin_constant_p (__n) && (__n) > 0)) && __builtin_constant_p ((((long unsigned int) (__n)) <= ((__sz)) / ((__size)))) && (((long unsigned int) (__n)) <= ((__sz)) / ((__size))))))
    {

      if (__builtin_constant_p (__size)
   && __builtin_constant_p (__n)
   && (__size | __n) < (((size_t) 1) << (8 * sizeof (size_t) / 2))
   && __size * __n <= 8)
 {
   size_t __cnt = __size * __n;
   char *__cptr = (char *) __ptr;
   if (__cnt == 0)
     return 0;

   for (; __cnt > 0; --__cnt)
     {
       int __c = getc_unlocked (__stream);
       if (__c == (-1))
  break;
       *__cptr++ = __c;
     }
   return (__cptr - (char *) __ptr) / __size;
 }

      return __fread_unlocked_alias (__ptr, __size, __n, __stream);
    }

  if ((((__typeof (__n)) 0 < (__typeof (__n)) -1 || (__builtin_constant_p (__n) && (__n) > 0)) && __builtin_constant_p ((((long unsigned int) (__n)) <= (__sz) / (__size))) && !(((long unsigned int) (__n)) <= (__sz) / (__size))))
    return __fread_unlocked_chk_warn (__ptr, __sz, __size, __n, __stream);

  return __fread_unlocked_chk (__ptr, __sz, __size, __n, __stream);

}
# 971 "/usr/aarch64-linux-gnu/include/stdio.h" 2 3


}
# 88 "asc2eph.cpp" 2
# 1 "/usr/aarch64-linux-gnu/include/string.h" 1 3
# 26 "/usr/aarch64-linux-gnu/include/string.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/libc-header-start.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/string.h" 2 3

extern "C" {




# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 1 3 4
# 34 "/usr/aarch64-linux-gnu/include/string.h" 2 3
# 43 "/usr/aarch64-linux-gnu/include/string.h" 3
extern void *memcpy (void *__restrict __dest, const void *__restrict __src,
       size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern void *memmove (void *__dest, const void *__src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));





extern void *memccpy (void *__restrict __dest, const void *__restrict __src,
        int __c, size_t __n)
    noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__write_only__, 1, 4)));




extern void *memset (void *__s, int __c, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern int memcmp (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 80 "/usr/aarch64-linux-gnu/include/string.h" 3
extern int __memcmpeq (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));



extern "C++"
{
extern void *memchr (void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const void *memchr (const void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) void *
memchr (void *__s, int __c, size_t __n) noexcept (true)
{
  return __builtin_memchr (__s, __c, __n);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) const void *
memchr (const void *__s, int __c, size_t __n) noexcept (true)
{
  return __builtin_memchr (__s, __c, __n);
}

}
# 115 "/usr/aarch64-linux-gnu/include/string.h" 3
extern "C++" void *rawmemchr (void *__s, int __c)
     noexcept (true) __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const void *rawmemchr (const void *__s, int __c)
     noexcept (true) __asm ("rawmemchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));







extern "C++" void *memrchr (void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)))
      __attribute__ ((__access__ (__read_only__, 1, 3)));
extern "C++" const void *memrchr (const void *__s, int __c, size_t __n)
      noexcept (true) __asm ("memrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)))
      __attribute__ ((__access__ (__read_only__, 1, 3)));
# 141 "/usr/aarch64-linux-gnu/include/string.h" 3
extern char *strcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern char *strncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern char *strcat (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern char *strncat (char *__restrict __dest, const char *__restrict __src,
        size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int strcmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern int strncmp (const char *__s1, const char *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strcoll (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));

extern size_t strxfrm (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
    noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 1, 3)));



# 1 "/usr/aarch64-linux-gnu/include/bits/types/locale_t.h" 1 3
# 22 "/usr/aarch64-linux-gnu/include/bits/types/locale_t.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/__locale_t.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/bits/types/__locale_t.h" 3
struct __locale_struct
{

  struct __locale_data *__locales[13];


  const unsigned short int *__ctype_b;
  const int *__ctype_tolower;
  const int *__ctype_toupper;


  const char *__names[13];
};

typedef struct __locale_struct *__locale_t;
# 23 "/usr/aarch64-linux-gnu/include/bits/types/locale_t.h" 2 3

typedef __locale_t locale_t;
# 173 "/usr/aarch64-linux-gnu/include/string.h" 2 3


extern int strcoll_l (const char *__s1, const char *__s2, locale_t __l)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));


extern size_t strxfrm_l (char *__dest, const char *__src, size_t __n,
    locale_t __l) noexcept (true) __attribute__ ((__nonnull__ (2, 4)))
     __attribute__ ((__access__ (__write_only__, 1, 3)));





extern char *strdup (const char *__s)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));






extern char *strndup (const char *__string, size_t __n)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__nonnull__ (1)));
# 224 "/usr/aarch64-linux-gnu/include/string.h" 3
extern "C++"
{
extern char *strchr (char *__s, int __c)
     noexcept (true) __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strchr (const char *__s, int __c)
     noexcept (true) __asm ("strchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) char *
strchr (char *__s, int __c) noexcept (true)
{
  return __builtin_strchr (__s, __c);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) const char *
strchr (const char *__s, int __c) noexcept (true)
{
  return __builtin_strchr (__s, __c);
}

}






extern "C++"
{
extern char *strrchr (char *__s, int __c)
     noexcept (true) __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *strrchr (const char *__s, int __c)
     noexcept (true) __asm ("strrchr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) char *
strrchr (char *__s, int __c) noexcept (true)
{
  return __builtin_strrchr (__s, __c);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) const char *
strrchr (const char *__s, int __c) noexcept (true)
{
  return __builtin_strrchr (__s, __c);
}

}
# 281 "/usr/aarch64-linux-gnu/include/string.h" 3
extern "C++" char *strchrnul (char *__s, int __c)
     noexcept (true) __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern "C++" const char *strchrnul (const char *__s, int __c)
     noexcept (true) __asm ("strchrnul") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
# 293 "/usr/aarch64-linux-gnu/include/string.h" 3
extern size_t strcspn (const char *__s, const char *__reject)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern size_t strspn (const char *__s, const char *__accept)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern "C++"
{
extern char *strpbrk (char *__s, const char *__accept)
     noexcept (true) __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strpbrk (const char *__s, const char *__accept)
     noexcept (true) __asm ("strpbrk") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) char *
strpbrk (char *__s, const char *__accept) noexcept (true)
{
  return __builtin_strpbrk (__s, __accept);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) const char *
strpbrk (const char *__s, const char *__accept) noexcept (true)
{
  return __builtin_strpbrk (__s, __accept);
}

}






extern "C++"
{
extern char *strstr (char *__haystack, const char *__needle)
     noexcept (true) __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern const char *strstr (const char *__haystack, const char *__needle)
     noexcept (true) __asm ("strstr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) char *
strstr (char *__haystack, const char *__needle) noexcept (true)
{
  return __builtin_strstr (__haystack, __needle);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) const char *
strstr (const char *__haystack, const char *__needle) noexcept (true)
{
  return __builtin_strstr (__haystack, __needle);
}

}







extern char *strtok (char *__restrict __s, const char *__restrict __delim)
     noexcept (true) __attribute__ ((__nonnull__ (2)));



extern char *__strtok_r (char *__restrict __s,
    const char *__restrict __delim,
    char **__restrict __save_ptr)
     noexcept (true) __attribute__ ((__nonnull__ (2, 3)));

extern char *strtok_r (char *__restrict __s, const char *__restrict __delim,
         char **__restrict __save_ptr)
     noexcept (true) __attribute__ ((__nonnull__ (2, 3)));





extern "C++" char *strcasestr (char *__haystack, const char *__needle)
     noexcept (true) __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
extern "C++" const char *strcasestr (const char *__haystack,
         const char *__needle)
     noexcept (true) __asm ("strcasestr") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));
# 389 "/usr/aarch64-linux-gnu/include/string.h" 3
extern void *memmem (const void *__haystack, size_t __haystacklen,
       const void *__needle, size_t __needlelen)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 3)))
    __attribute__ ((__access__ (__read_only__, 1, 2)))
    __attribute__ ((__access__ (__read_only__, 3, 4)));



extern void *__mempcpy (void *__restrict __dest,
   const void *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern void *mempcpy (void *__restrict __dest,
        const void *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern size_t strlen (const char *__s)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));




extern size_t strnlen (const char *__string, size_t __maxlen)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));




extern char *strerror (int __errnum) noexcept (true);
# 444 "/usr/aarch64-linux-gnu/include/string.h" 3
extern char *strerror_r (int __errnum, char *__buf, size_t __buflen)
     noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__warn_unused_result__)) __attribute__ ((__access__ (__write_only__, 2, 3)));




extern const char *strerrordesc_np (int __err) noexcept (true);

extern const char *strerrorname_np (int __err) noexcept (true);





extern char *strerror_l (int __errnum, locale_t __l) noexcept (true);



# 1 "/usr/aarch64-linux-gnu/include/strings.h" 1 3
# 23 "/usr/aarch64-linux-gnu/include/strings.h" 3
# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 1 3 4
# 24 "/usr/aarch64-linux-gnu/include/strings.h" 2 3






extern "C" {



extern int bcmp (const void *__s1, const void *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern void bcopy (const void *__src, void *__dest, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern void bzero (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)));



extern "C++"
{
extern char *index (char *__s, int __c)
     noexcept (true) __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *index (const char *__s, int __c)
     noexcept (true) __asm ("index") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) char *
index (char *__s, int __c) noexcept (true)
{
  return __builtin_index (__s, __c);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) const char *
index (const char *__s, int __c) noexcept (true)
{
  return __builtin_index (__s, __c);
}

}







extern "C++"
{
extern char *rindex (char *__s, int __c)
     noexcept (true) __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));
extern const char *rindex (const char *__s, int __c)
     noexcept (true) __asm ("rindex") __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1)));


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) char *
rindex (char *__s, int __c) noexcept (true)
{
  return __builtin_rindex (__s, __c);
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) const char *
rindex (const char *__s, int __c) noexcept (true)
{
  return __builtin_rindex (__s, __c);
}

}
# 104 "/usr/aarch64-linux-gnu/include/strings.h" 3
extern int ffs (int __i) noexcept (true) __attribute__ ((__const__));





extern int ffsl (long int __l) noexcept (true) __attribute__ ((__const__));
__extension__ extern int ffsll (long long int __ll)
     noexcept (true) __attribute__ ((__const__));



extern int strcasecmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern int strncasecmp (const char *__s1, const char *__s2, size_t __n)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));






extern int strcasecmp_l (const char *__s1, const char *__s2, locale_t __loc)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 3)));



extern int strncasecmp_l (const char *__s1, const char *__s2,
     size_t __n, locale_t __loc)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2, 4)));


}





# 1 "/usr/aarch64-linux-gnu/include/bits/strings_fortified.h" 1 3
# 22 "/usr/aarch64-linux-gnu/include/bits/strings_fortified.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) void
__attribute__ ((__leaf__)) bcopy (const void *__src, void *__dest, size_t __len) noexcept (true)
{
  (void) __builtin___memmove_chk (__dest, __src, __len,
      __builtin_object_size (__dest, 0));
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) void
__attribute__ ((__leaf__)) bzero (void *__dest, size_t __len) noexcept (true)
{
  (void) __builtin___memset_chk (__dest, '\0', __len,
     __builtin_object_size (__dest, 0));
}
# 145 "/usr/aarch64-linux-gnu/include/strings.h" 2 3
# 463 "/usr/aarch64-linux-gnu/include/string.h" 2 3



extern void explicit_bzero (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)))
    __attribute__ ((__access__ (__write_only__, 1, 2)));



extern char *strsep (char **__restrict __stringp,
       const char *__restrict __delim)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern char *strsignal (int __sig) noexcept (true);



extern const char *sigabbrev_np (int __sig) noexcept (true);


extern const char *sigdescr_np (int __sig) noexcept (true);



extern char *__stpcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpcpy (char *__restrict __dest, const char *__restrict __src)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));



extern char *__stpncpy (char *__restrict __dest,
   const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern char *stpncpy (char *__restrict __dest,
        const char *__restrict __src, size_t __n)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));




extern size_t strlcpy (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__write_only__, 1, 3)));



extern size_t strlcat (char *__restrict __dest,
         const char *__restrict __src, size_t __n)
  noexcept (true) __attribute__ ((__nonnull__ (1, 2))) __attribute__ ((__access__ (__read_write__, 1, 3)));




extern int strverscmp (const char *__s1, const char *__s2)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1, 2)));


extern char *strfry (char *__string) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void *memfrob (void *__s, size_t __n) noexcept (true) __attribute__ ((__nonnull__ (1)))
    __attribute__ ((__access__ (__read_write__, 1, 2)));







extern "C++" char *basename (char *__filename)
     noexcept (true) __asm ("basename") __attribute__ ((__nonnull__ (1)));
extern "C++" const char *basename (const char *__filename)
     noexcept (true) __asm ("basename") __attribute__ ((__nonnull__ (1)));
# 548 "/usr/aarch64-linux-gnu/include/string.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/string_fortified.h" 1 3
# 25 "/usr/aarch64-linux-gnu/include/bits/string_fortified.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) void *
__attribute__ ((__leaf__)) memcpy (void *__restrict __dest, const void *__restrict __src, size_t __len) noexcept (true)

{
  return __builtin___memcpy_chk (__dest, __src, __len,
     __builtin_object_size (__dest, 0));
}

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) void *
__attribute__ ((__leaf__)) memmove (void *__dest, const void *__src, size_t __len) noexcept (true)
{
  return __builtin___memmove_chk (__dest, __src, __len,
      __builtin_object_size (__dest, 0));
}


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) void *
__attribute__ ((__leaf__)) mempcpy (void *__restrict __dest, const void *__restrict __src, size_t __len) noexcept (true)

{
  return __builtin___mempcpy_chk (__dest, __src, __len,
      __builtin_object_size (__dest, 0));
}
# 56 "/usr/aarch64-linux-gnu/include/bits/string_fortified.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) void *
__attribute__ ((__leaf__)) memset (void *__dest, int __ch, size_t __len) noexcept (true)
{
  return __builtin___memset_chk (__dest, __ch, __len,
     __builtin_object_size (__dest, 0));
}




void __explicit_bzero_chk (void *__dest, size_t __len, size_t __destlen)
  noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__access__ (__write_only__, 1, 2)));

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) void
__attribute__ ((__leaf__)) explicit_bzero (void *__dest, size_t __len) noexcept (true)
{
  __explicit_bzero_chk (__dest, __len, __builtin_object_size (__dest, 0));
}


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) char *
__attribute__ ((__leaf__)) strcpy (char * __restrict __dest, const char *__restrict __src) noexcept (true)

    
{
  return __builtin___strcpy_chk (__dest, __src, __builtin_object_size (__dest, 2 > 1));
}


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) char *
__attribute__ ((__leaf__)) stpcpy (char * __restrict __dest, const char *__restrict __src) noexcept (true)

    
{
  return __builtin___stpcpy_chk (__dest, __src, __builtin_object_size (__dest, 2 > 1));
}



extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) char *
__attribute__ ((__leaf__)) strncpy (char * __restrict __dest, const char *__restrict __src, size_t __len) noexcept (true)

    
{
  return __builtin___strncpy_chk (__dest, __src, __len,
      __builtin_object_size (__dest, 2 > 1));
}



extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) char *
__attribute__ ((__leaf__)) stpncpy (char * __dest, const char *__src, size_t __n) noexcept (true)

    
{
  return __builtin___stpncpy_chk (__dest, __src, __n,
      __builtin_object_size (__dest, 2 > 1));
}
# 135 "/usr/aarch64-linux-gnu/include/bits/string_fortified.h" 3
extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) char *
__attribute__ ((__leaf__)) strcat (char * __restrict __dest, const char *__restrict __src) noexcept (true)

    
{
  return __builtin___strcat_chk (__dest, __src, __builtin_object_size (__dest, 2 > 1));
}


extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) char *
__attribute__ ((__leaf__)) strncat (char * __restrict __dest, const char *__restrict __src, size_t __len) noexcept (true)

    
{
  return __builtin___strncat_chk (__dest, __src, __len,
      __builtin_object_size (__dest, 2 > 1));
}


extern size_t __strlcpy_chk (char *__dest, const char *__src, size_t __n,
        size_t __destlen) noexcept (true);
extern size_t __strlcpy_alias (char *__dest, const char *__src, size_t __n) noexcept (true) __asm__ ("" "strlcpy")

                 ;

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) size_t
__attribute__ ((__leaf__)) strlcpy (char * __restrict __dest, const char *__restrict __src, size_t __n) noexcept (true)

    
{
  if (__builtin_object_size (__dest, 2 > 1) != (size_t) -1
      && (!__builtin_constant_p (__n > __builtin_object_size (__dest, 2 > 1))
   || __n > __builtin_object_size (__dest, 2 > 1)))
    return __strlcpy_chk (__dest, __src, __n, __builtin_object_size (__dest, 2 > 1));
  return __strlcpy_alias (__dest, __src, __n);
}

extern size_t __strlcat_chk (char *__dest, const char *__src, size_t __n,
        size_t __destlen) noexcept (true);
extern size_t __strlcat_alias (char *__dest, const char *__src, size_t __n) noexcept (true) __asm__ ("" "strlcat")

                 ;

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) size_t
__attribute__ ((__leaf__)) strlcat (char * __restrict __dest, const char *__restrict __src, size_t __n) noexcept (true)

{
  if (__builtin_object_size (__dest, 2 > 1) != (size_t) -1
      && (!__builtin_constant_p (__n > __builtin_object_size (__dest, 2 > 1))
   || __n > __builtin_object_size (__dest, 2 > 1)))
    return __strlcat_chk (__dest, __src, __n, __builtin_object_size (__dest, 2 > 1));
  return __strlcat_alias (__dest, __src, __n);
}
# 549 "/usr/aarch64-linux-gnu/include/string.h" 2 3



}
# 89 "asc2eph.cpp" 2
# 1 "/usr/aarch64-linux-gnu/include/c++/15/stdlib.h" 1 3
# 36 "/usr/aarch64-linux-gnu/include/c++/15/stdlib.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 1 3
# 46 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 1 3
# 37 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
 
# 37 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wvariadic-macros"

#pragma GCC diagnostic ignored "-Wc++11-extensions"
#pragma GCC diagnostic ignored "-Wc++23-extensions"
# 336 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
namespace std
{
  typedef long unsigned int size_t;
  typedef long int ptrdiff_t;


  typedef decltype(nullptr) nullptr_t;


#pragma GCC visibility push(default)


  extern "C++" __attribute__ ((__noreturn__, __always_inline__))
  inline void __terminate() noexcept
  {
    void terminate() noexcept __attribute__ ((__noreturn__,__cold__));
    terminate();
  }
#pragma GCC visibility pop
}
# 369 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
namespace std
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
namespace __gnu_cxx
{
  inline namespace __cxx11 __attribute__((__abi_tag__ ("cxx11"))) { }
}
# 573 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
namespace std
{
#pragma GCC visibility push(default)




  __attribute__((__always_inline__))
  constexpr inline bool
  __is_constant_evaluated() noexcept
  {





    return __builtin_is_constant_evaluated();



  }
#pragma GCC visibility pop
}
# 617 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
namespace std
{
#pragma GCC visibility push(default)

  extern "C++" __attribute__ ((__noreturn__)) __attribute__((__cold__))
  void
  __glibcxx_assert_fail
    (const char* __file, int __line, const char* __function,
     const char* __condition)
  noexcept;
#pragma GCC visibility pop
}
# 648 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
namespace std
{
  __attribute__((__always_inline__,__visibility__("default")))
  inline void
  __glibcxx_assert_fail()
  { }
}
# 727 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/os_defines.h" 1 3
# 728 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 2 3


# 1 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/cpu_defines.h" 1 3
# 731 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 2 3
# 887 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
namespace __gnu_cxx
{
  typedef __decltype(0.0bf16) __bfloat16_t;
}
# 949 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/pstl/pstl_config.h" 1 3
# 950 "/usr/aarch64-linux-gnu/include/c++/15/aarch64-linux-gnu/bits/c++config.h" 2 3



#pragma GCC diagnostic pop
# 47 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 2 3
# 80 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpedantic"

# 1 "/usr/aarch64-linux-gnu/include/stdlib.h" 1 3
# 26 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/libc-header-start.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/stdlib.h" 2 3





# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 1 3 4
# 33 "/usr/aarch64-linux-gnu/include/stdlib.h" 2 3

extern "C" {





# 1 "/usr/aarch64-linux-gnu/include/bits/waitflags.h" 1 3
# 41 "/usr/aarch64-linux-gnu/include/stdlib.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/waitstatus.h" 1 3
# 42 "/usr/aarch64-linux-gnu/include/stdlib.h" 2 3
# 59 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
typedef struct
  {
    int quot;
    int rem;
  } div_t;



typedef struct
  {
    long int quot;
    long int rem;
  } ldiv_t;





__extension__ typedef struct
  {
    long long int quot;
    long long int rem;
  } lldiv_t;
# 98 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern size_t __ctype_get_mb_cur_max (void) noexcept (true) __attribute__ ((__warn_unused_result__));



extern double atof (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));

extern int atoi (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));

extern long int atol (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));



__extension__ extern long long int atoll (const char *__nptr)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));



extern double strtod (const char *__restrict __nptr,
        char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern float strtof (const char *__restrict __nptr,
       char **__restrict __endptr) noexcept (true) __attribute__ ((__nonnull__ (1)));

extern long double strtold (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 141 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern _Float32 strtof32 (const char *__restrict __nptr,
     char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float64 strtof64 (const char *__restrict __nptr,
     char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float128 strtof128 (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float32x strtof32x (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern _Float64x strtof64x (const char *__restrict __nptr,
       char **__restrict __endptr)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 177 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern long int strtol (const char *__restrict __nptr,
   char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

extern unsigned long int strtoul (const char *__restrict __nptr,
      char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



__extension__
extern long long int strtoq (const char *__restrict __nptr,
        char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr,
           char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));




__extension__
extern long long int strtoll (const char *__restrict __nptr,
         char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));

__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr,
     char **__restrict __endptr, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));






extern long int strtol (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtol")


     __attribute__ ((__nonnull__ (1)));
extern unsigned long int strtoul (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoul")



     __attribute__ ((__nonnull__ (1)));

__extension__
extern long long int strtoq (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoll")


     __attribute__ ((__nonnull__ (1)));
__extension__
extern unsigned long long int strtouq (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoull")



     __attribute__ ((__nonnull__ (1)));

__extension__
extern long long int strtoll (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoll")


     __attribute__ ((__nonnull__ (1)));
__extension__
extern unsigned long long int strtoull (const char *__restrict __nptr, char **__restrict __endptr, int __base) noexcept (true) __asm__ ("" "__isoc23_strtoull")



     __attribute__ ((__nonnull__ (1)));
# 278 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int strfromd (char *__dest, size_t __size, const char *__format,
       double __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));

extern int strfromf (char *__dest, size_t __size, const char *__format,
       float __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));

extern int strfroml (char *__dest, size_t __size, const char *__format,
       long double __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));
# 298 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int strfromf32 (char *__dest, size_t __size, const char * __format,
         _Float32 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf64 (char *__dest, size_t __size, const char * __format,
         _Float64 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf128 (char *__dest, size_t __size, const char * __format,
   _Float128 __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf32x (char *__dest, size_t __size, const char * __format,
   _Float32x __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));



extern int strfromf64x (char *__dest, size_t __size, const char * __format,
   _Float64x __f)
     noexcept (true) __attribute__ ((__nonnull__ (3)));
# 340 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern long int strtol_l (const char *__restrict __nptr,
     char **__restrict __endptr, int __base,
     locale_t __loc) noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

extern unsigned long int strtoul_l (const char *__restrict __nptr,
        char **__restrict __endptr,
        int __base, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern long long int strtoll_l (const char *__restrict __nptr,
    char **__restrict __endptr, int __base,
    locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));

__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       int __base, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 4)));





extern long int strtol_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtol_l")



     __attribute__ ((__nonnull__ (1, 4)));
extern unsigned long int strtoul_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtoul_l")




     __attribute__ ((__nonnull__ (1, 4)));
__extension__
extern long long int strtoll_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtoll_l")




     __attribute__ ((__nonnull__ (1, 4)));
__extension__
extern unsigned long long int strtoull_l (const char *__restrict __nptr, char **__restrict __endptr, int __base, locale_t __loc) noexcept (true) __asm__ ("" "__isoc23_strtoull_l")




     __attribute__ ((__nonnull__ (1, 4)));
# 415 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern double strtod_l (const char *__restrict __nptr,
   char **__restrict __endptr, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));

extern float strtof_l (const char *__restrict __nptr,
         char **__restrict __endptr, locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));

extern long double strtold_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 436 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern _Float32 strtof32_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float64 strtof64_l (const char *__restrict __nptr,
       char **__restrict __endptr,
       locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float128 strtof128_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float32x strtof32x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));



extern _Float64x strtof64x_l (const char *__restrict __nptr,
         char **__restrict __endptr,
         locale_t __loc)
     noexcept (true) __attribute__ ((__nonnull__ (1, 3)));
# 480 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern __inline __attribute__ ((__gnu_inline__)) int
__attribute__ ((__leaf__)) atoi (const char *__nptr) noexcept (true)
{
  return (int) strtol (__nptr, (char **) __null, 10);
}
extern __inline __attribute__ ((__gnu_inline__)) long int
__attribute__ ((__leaf__)) atol (const char *__nptr) noexcept (true)
{
  return strtol (__nptr, (char **) __null, 10);
}


__extension__ extern __inline __attribute__ ((__gnu_inline__)) long long int
__attribute__ ((__leaf__)) atoll (const char *__nptr) noexcept (true)
{
  return strtoll (__nptr, (char **) __null, 10);
}
# 505 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern char *l64a (long int __n) noexcept (true) __attribute__ ((__warn_unused_result__));


extern long int a64l (const char *__s)
     noexcept (true) __attribute__ ((__pure__)) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));




# 1 "/usr/aarch64-linux-gnu/include/sys/types.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/sys/types.h" 3
extern "C" {





typedef __u_char u_char;
typedef __u_short u_short;
typedef __u_int u_int;
typedef __u_long u_long;
typedef __quad_t quad_t;
typedef __u_quad_t u_quad_t;
typedef __fsid_t fsid_t;


typedef __loff_t loff_t;




typedef __ino_t ino_t;






typedef __ino64_t ino64_t;




typedef __dev_t dev_t;




typedef __gid_t gid_t;




typedef __mode_t mode_t;




typedef __nlink_t nlink_t;




typedef __uid_t uid_t;
# 97 "/usr/aarch64-linux-gnu/include/sys/types.h" 3
typedef __pid_t pid_t;





typedef __id_t id_t;
# 114 "/usr/aarch64-linux-gnu/include/sys/types.h" 3
typedef __daddr_t daddr_t;
typedef __caddr_t caddr_t;





typedef __key_t key_t;




# 1 "/usr/aarch64-linux-gnu/include/bits/types/clock_t.h" 1 3






typedef __clock_t clock_t;
# 127 "/usr/aarch64-linux-gnu/include/sys/types.h" 2 3

# 1 "/usr/aarch64-linux-gnu/include/bits/types/clockid_t.h" 1 3






typedef __clockid_t clockid_t;
# 129 "/usr/aarch64-linux-gnu/include/sys/types.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/time_t.h" 1 3
# 10 "/usr/aarch64-linux-gnu/include/bits/types/time_t.h" 3
typedef __time_t time_t;
# 130 "/usr/aarch64-linux-gnu/include/sys/types.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/timer_t.h" 1 3






typedef __timer_t timer_t;
# 131 "/usr/aarch64-linux-gnu/include/sys/types.h" 2 3



typedef __useconds_t useconds_t;



typedef __suseconds_t suseconds_t;





# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 1 3 4
# 145 "/usr/aarch64-linux-gnu/include/sys/types.h" 2 3



typedef unsigned long int ulong;
typedef unsigned short int ushort;
typedef unsigned int uint;




# 1 "/usr/aarch64-linux-gnu/include/bits/stdint-intn.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/stdint-intn.h" 3
typedef __int8_t int8_t;
typedef __int16_t int16_t;
typedef __int32_t int32_t;
typedef __int64_t int64_t;
# 156 "/usr/aarch64-linux-gnu/include/sys/types.h" 2 3


typedef __uint8_t u_int8_t;
typedef __uint16_t u_int16_t;
typedef __uint32_t u_int32_t;
typedef __uint64_t u_int64_t;


typedef int register_t __attribute__ ((__mode__ (__word__)));
# 176 "/usr/aarch64-linux-gnu/include/sys/types.h" 3
# 1 "/usr/aarch64-linux-gnu/include/endian.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/endian.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/endian.h" 1 3
# 35 "/usr/aarch64-linux-gnu/include/bits/endian.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/endianness.h" 1 3
# 36 "/usr/aarch64-linux-gnu/include/bits/endian.h" 2 3
# 25 "/usr/aarch64-linux-gnu/include/endian.h" 2 3
# 35 "/usr/aarch64-linux-gnu/include/endian.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/byteswap.h" 1 3
# 33 "/usr/aarch64-linux-gnu/include/bits/byteswap.h" 3
static __inline __uint16_t
__bswap_16 (__uint16_t __bsx)
{

  return __builtin_bswap16 (__bsx);



}






static __inline __uint32_t
__bswap_32 (__uint32_t __bsx)
{

  return __builtin_bswap32 (__bsx);



}
# 69 "/usr/aarch64-linux-gnu/include/bits/byteswap.h" 3
__extension__ static __inline __uint64_t
__bswap_64 (__uint64_t __bsx)
{

  return __builtin_bswap64 (__bsx);



}
# 36 "/usr/aarch64-linux-gnu/include/endian.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/uintn-identity.h" 1 3
# 32 "/usr/aarch64-linux-gnu/include/bits/uintn-identity.h" 3
static __inline __uint16_t
__uint16_identity (__uint16_t __x)
{
  return __x;
}

static __inline __uint32_t
__uint32_identity (__uint32_t __x)
{
  return __x;
}

static __inline __uint64_t
__uint64_identity (__uint64_t __x)
{
  return __x;
}
# 37 "/usr/aarch64-linux-gnu/include/endian.h" 2 3
# 177 "/usr/aarch64-linux-gnu/include/sys/types.h" 2 3


# 1 "/usr/aarch64-linux-gnu/include/sys/select.h" 1 3
# 30 "/usr/aarch64-linux-gnu/include/sys/select.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/select.h" 1 3
# 31 "/usr/aarch64-linux-gnu/include/sys/select.h" 2 3


# 1 "/usr/aarch64-linux-gnu/include/bits/types/sigset_t.h" 1 3



# 1 "/usr/aarch64-linux-gnu/include/bits/types/__sigset_t.h" 1 3




typedef struct
{
  unsigned long int __val[(1024 / (8 * sizeof (unsigned long int)))];
} __sigset_t;
# 5 "/usr/aarch64-linux-gnu/include/bits/types/sigset_t.h" 2 3


typedef __sigset_t sigset_t;
# 34 "/usr/aarch64-linux-gnu/include/sys/select.h" 2 3



# 1 "/usr/aarch64-linux-gnu/include/bits/types/struct_timeval.h" 1 3







struct timeval
{




  __time_t tv_sec;
  __suseconds_t tv_usec;

};
# 38 "/usr/aarch64-linux-gnu/include/sys/select.h" 2 3

# 1 "/usr/aarch64-linux-gnu/include/bits/types/struct_timespec.h" 1 3
# 11 "/usr/aarch64-linux-gnu/include/bits/types/struct_timespec.h" 3
struct timespec
{



  __time_t tv_sec;




  __syscall_slong_t tv_nsec;
# 31 "/usr/aarch64-linux-gnu/include/bits/types/struct_timespec.h" 3
};
# 40 "/usr/aarch64-linux-gnu/include/sys/select.h" 2 3
# 49 "/usr/aarch64-linux-gnu/include/sys/select.h" 3
typedef long int __fd_mask;
# 59 "/usr/aarch64-linux-gnu/include/sys/select.h" 3
typedef struct
  {



    __fd_mask fds_bits[1024 / (8 * (int) sizeof (__fd_mask))];





  } fd_set;






typedef __fd_mask fd_mask;
# 91 "/usr/aarch64-linux-gnu/include/sys/select.h" 3
extern "C" {
# 102 "/usr/aarch64-linux-gnu/include/sys/select.h" 3
extern int select (int __nfds, fd_set *__restrict __readfds,
     fd_set *__restrict __writefds,
     fd_set *__restrict __exceptfds,
     struct timeval *__restrict __timeout);
# 127 "/usr/aarch64-linux-gnu/include/sys/select.h" 3
extern int pselect (int __nfds, fd_set *__restrict __readfds,
      fd_set *__restrict __writefds,
      fd_set *__restrict __exceptfds,
      const struct timespec *__restrict __timeout,
      const __sigset_t *__restrict __sigmask);
# 150 "/usr/aarch64-linux-gnu/include/sys/select.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/select2.h" 1 3
# 23 "/usr/aarch64-linux-gnu/include/bits/select2.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/select-decl.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/bits/select-decl.h" 3
extern long int __fdelt_chk (long int __d);
extern long int __fdelt_warn (long int __d)
  __attribute__((__warning__ ("bit outside of fd_set selected")));
# 24 "/usr/aarch64-linux-gnu/include/bits/select2.h" 2 3
# 151 "/usr/aarch64-linux-gnu/include/sys/select.h" 2 3


}
# 180 "/usr/aarch64-linux-gnu/include/sys/types.h" 2 3





typedef __blksize_t blksize_t;






typedef __blkcnt_t blkcnt_t;



typedef __fsblkcnt_t fsblkcnt_t;



typedef __fsfilcnt_t fsfilcnt_t;
# 219 "/usr/aarch64-linux-gnu/include/sys/types.h" 3
typedef __blkcnt64_t blkcnt64_t;
typedef __fsblkcnt64_t fsblkcnt64_t;
typedef __fsfilcnt64_t fsfilcnt64_t;





# 1 "/usr/aarch64-linux-gnu/include/bits/pthreadtypes.h" 1 3
# 23 "/usr/aarch64-linux-gnu/include/bits/pthreadtypes.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/thread-shared-types.h" 1 3
# 44 "/usr/aarch64-linux-gnu/include/bits/thread-shared-types.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/pthreadtypes-arch.h" 1 3
# 45 "/usr/aarch64-linux-gnu/include/bits/thread-shared-types.h" 2 3

# 1 "/usr/aarch64-linux-gnu/include/bits/atomic_wide_counter.h" 1 3
# 25 "/usr/aarch64-linux-gnu/include/bits/atomic_wide_counter.h" 3
typedef union
{
  __extension__ unsigned long long int __value64;
  struct
  {
    unsigned int __low;
    unsigned int __high;
  } __value32;
} __atomic_wide_counter;
# 47 "/usr/aarch64-linux-gnu/include/bits/thread-shared-types.h" 2 3




typedef struct __pthread_internal_list
{
  struct __pthread_internal_list *__prev;
  struct __pthread_internal_list *__next;
} __pthread_list_t;

typedef struct __pthread_internal_slist
{
  struct __pthread_internal_slist *__next;
} __pthread_slist_t;
# 76 "/usr/aarch64-linux-gnu/include/bits/thread-shared-types.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/struct_mutex.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/bits/struct_mutex.h" 3
struct __pthread_mutex_s
{
  int __lock ;
  unsigned int __count;
  int __owner;

  unsigned int __nusers;
# 58 "/usr/aarch64-linux-gnu/include/bits/struct_mutex.h" 3
  int __kind;




  int __spins;
  __pthread_list_t __list;
# 74 "/usr/aarch64-linux-gnu/include/bits/struct_mutex.h" 3
};
# 77 "/usr/aarch64-linux-gnu/include/bits/thread-shared-types.h" 2 3
# 89 "/usr/aarch64-linux-gnu/include/bits/thread-shared-types.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/struct_rwlock.h" 1 3
# 23 "/usr/aarch64-linux-gnu/include/bits/struct_rwlock.h" 3
struct __pthread_rwlock_arch_t
{
  unsigned int __readers;
  unsigned int __writers;
  unsigned int __wrphase_futex;
  unsigned int __writers_futex;
  unsigned int __pad3;
  unsigned int __pad4;
  int __cur_writer;
  int __shared;
  unsigned long int __pad1;
  unsigned long int __pad2;
  unsigned int __flags;
};
# 90 "/usr/aarch64-linux-gnu/include/bits/thread-shared-types.h" 2 3




struct __pthread_cond_s
{
  __atomic_wide_counter __wseq;
  __atomic_wide_counter __g1_start;
  unsigned int __g_size[2] ;
  unsigned int __g1_orig_size;
  unsigned int __wrefs;
  unsigned int __g_signals[2];
  unsigned int __unused_initialized_1;
  unsigned int __unused_initialized_2;
};

typedef unsigned int __tss_t;
typedef unsigned long int __thrd_t;

typedef struct
{
  int __data ;
} __once_flag;
# 24 "/usr/aarch64-linux-gnu/include/bits/pthreadtypes.h" 2 3



typedef unsigned long int pthread_t;




typedef union
{
  char __size[8];
  int __align;
} pthread_mutexattr_t;




typedef union
{
  char __size[8];
  int __align;
} pthread_condattr_t;



typedef unsigned int pthread_key_t;



typedef int pthread_once_t;


union pthread_attr_t
{
  char __size[64];
  long int __align;
};

typedef union pthread_attr_t pthread_attr_t;




typedef union
{
  struct __pthread_mutex_s __data;
  char __size[48];
  long int __align;
} pthread_mutex_t;


typedef union
{
  struct __pthread_cond_s __data;
  char __size[48];
  __extension__ long long int __align;
} pthread_cond_t;





typedef union
{
  struct __pthread_rwlock_arch_t __data;
  char __size[56];
  long int __align;
} pthread_rwlock_t;

typedef union
{
  char __size[8];
  long int __align;
} pthread_rwlockattr_t;





typedef volatile int pthread_spinlock_t;




typedef union
{
  char __size[32];
  long int __align;
} pthread_barrier_t;

typedef union
{
  char __size[8];
  int __align;
} pthread_barrierattr_t;
# 228 "/usr/aarch64-linux-gnu/include/sys/types.h" 2 3


}
# 515 "/usr/aarch64-linux-gnu/include/stdlib.h" 2 3






extern long int random (void) noexcept (true);


extern void srandom (unsigned int __seed) noexcept (true);





extern char *initstate (unsigned int __seed, char *__statebuf,
   size_t __statelen) noexcept (true) __attribute__ ((__nonnull__ (2)));



extern char *setstate (char *__statebuf) noexcept (true) __attribute__ ((__nonnull__ (1)));







struct random_data
  {
    int32_t *fptr;
    int32_t *rptr;
    int32_t *state;
    int rand_type;
    int rand_deg;
    int rand_sep;
    int32_t *end_ptr;
  };

extern int random_r (struct random_data *__restrict __buf,
       int32_t *__restrict __result) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern int srandom_r (unsigned int __seed, struct random_data *__buf)
     noexcept (true) __attribute__ ((__nonnull__ (2)));

extern int initstate_r (unsigned int __seed, char *__restrict __statebuf,
   size_t __statelen,
   struct random_data *__restrict __buf)
     noexcept (true) __attribute__ ((__nonnull__ (2, 4)));

extern int setstate_r (char *__restrict __statebuf,
         struct random_data *__restrict __buf)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));





extern int rand (void) noexcept (true);

extern void srand (unsigned int __seed) noexcept (true);



extern int rand_r (unsigned int *__seed) noexcept (true);







extern double drand48 (void) noexcept (true);
extern double erand48 (unsigned short int __xsubi[3]) noexcept (true) __attribute__ ((__nonnull__ (1)));


extern long int lrand48 (void) noexcept (true);
extern long int nrand48 (unsigned short int __xsubi[3])
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern long int mrand48 (void) noexcept (true);
extern long int jrand48 (unsigned short int __xsubi[3])
     noexcept (true) __attribute__ ((__nonnull__ (1)));


extern void srand48 (long int __seedval) noexcept (true);
extern unsigned short int *seed48 (unsigned short int __seed16v[3])
     noexcept (true) __attribute__ ((__nonnull__ (1)));
extern void lcong48 (unsigned short int __param[7]) noexcept (true) __attribute__ ((__nonnull__ (1)));





struct drand48_data
  {
    unsigned short int __x[3];
    unsigned short int __old_x[3];
    unsigned short int __c;
    unsigned short int __init;
    __extension__ unsigned long long int __a;

  };


extern int drand48_r (struct drand48_data *__restrict __buffer,
        double *__restrict __result) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern int erand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        double *__restrict __result) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int lrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern int nrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int mrand48_r (struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));
extern int jrand48_r (unsigned short int __xsubi[3],
        struct drand48_data *__restrict __buffer,
        long int *__restrict __result)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern int srand48_r (long int __seedval, struct drand48_data *__buffer)
     noexcept (true) __attribute__ ((__nonnull__ (2)));

extern int seed48_r (unsigned short int __seed16v[3],
       struct drand48_data *__buffer) noexcept (true) __attribute__ ((__nonnull__ (1, 2)));

extern int lcong48_r (unsigned short int __param[7],
        struct drand48_data *__buffer)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2)));


extern __uint32_t arc4random (void)
     noexcept (true) __attribute__ ((__warn_unused_result__));


extern void arc4random_buf (void *__buf, size_t __size)
     noexcept (true) __attribute__ ((__nonnull__ (1)));



extern __uint32_t arc4random_uniform (__uint32_t __upper_bound)
     noexcept (true) __attribute__ ((__warn_unused_result__));




extern void *malloc (size_t __size) noexcept (true) __attribute__ ((__malloc__))
     __attribute__ ((__alloc_size__ (1))) __attribute__ ((__warn_unused_result__));

extern void *calloc (size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__alloc_size__ (1, 2))) __attribute__ ((__warn_unused_result__));






extern void *realloc (void *__ptr, size_t __size)
     noexcept (true) __attribute__ ((__warn_unused_result__)) __attribute__ ((__alloc_size__ (2)));


extern void free (void *__ptr) noexcept (true);







extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__warn_unused_result__))
     __attribute__ ((__alloc_size__ (2, 3)))
    __attribute__ ((__malloc__ (__builtin_free, 1)));


extern void *reallocarray (void *__ptr, size_t __nmemb, size_t __size)
     noexcept (true) __attribute__ ((__malloc__ (reallocarray, 1)));



# 1 "/usr/aarch64-linux-gnu/include/alloca.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/alloca.h" 3
# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 1 3 4
# 25 "/usr/aarch64-linux-gnu/include/alloca.h" 2 3

extern "C" {





extern void *alloca (size_t __size) noexcept (true);





}
# 707 "/usr/aarch64-linux-gnu/include/stdlib.h" 2 3





extern void *valloc (size_t __size) noexcept (true) __attribute__ ((__malloc__))
     __attribute__ ((__alloc_size__ (1))) __attribute__ ((__warn_unused_result__));




extern int posix_memalign (void **__memptr, size_t __alignment, size_t __size)
     noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));




extern void *aligned_alloc (size_t __alignment, size_t __size)
     noexcept (true) __attribute__ ((__malloc__)) __attribute__ ((__alloc_align__ (1)))
     __attribute__ ((__alloc_size__ (2))) __attribute__ ((__warn_unused_result__));



extern void abort (void) noexcept (true) __attribute__ ((__noreturn__)) __attribute__ ((__cold__));



extern int atexit (void (*__func) (void)) noexcept (true) __attribute__ ((__nonnull__ (1)));




extern "C++" int at_quick_exit (void (*__func) (void))
     noexcept (true) __asm ("at_quick_exit") __attribute__ ((__nonnull__ (1)));
# 749 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int on_exit (void (*__func) (int __status, void *__arg), void *__arg)
     noexcept (true) __attribute__ ((__nonnull__ (1)));





extern void exit (int __status) noexcept (true) __attribute__ ((__noreturn__));





extern void quick_exit (int __status) noexcept (true) __attribute__ ((__noreturn__));





extern void _Exit (int __status) noexcept (true) __attribute__ ((__noreturn__));




extern char *getenv (const char *__name) noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));




extern char *secure_getenv (const char *__name)
     noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));






extern int putenv (char *__string) noexcept (true) __attribute__ ((__nonnull__ (1)));





extern int setenv (const char *__name, const char *__value, int __replace)
     noexcept (true) __attribute__ ((__nonnull__ (2)));


extern int unsetenv (const char *__name) noexcept (true) __attribute__ ((__nonnull__ (1)));






extern int clearenv (void) noexcept (true);
# 814 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern char *mktemp (char *__template) noexcept (true) __attribute__ ((__nonnull__ (1)));
# 827 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int mkstemp (char *__template) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 837 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int mkstemp64 (char *__template) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 849 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int mkstemps (char *__template, int __suffixlen) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 859 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int mkstemps64 (char *__template, int __suffixlen)
     __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 870 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern char *mkdtemp (char *__template) noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 881 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int mkostemp (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 891 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int mkostemp64 (char *__template, int __flags) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 901 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int mkostemps (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 913 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int mkostemps64 (char *__template, int __suffixlen, int __flags)
     __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 923 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int system (const char *__command) __attribute__ ((__warn_unused_result__));





extern char *canonicalize_file_name (const char *__name)
     noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__malloc__))
     __attribute__ ((__malloc__ (__builtin_free, 1))) __attribute__ ((__warn_unused_result__));
# 940 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern char *realpath (const char *__restrict __name,
         char *__restrict __resolved) noexcept (true) __attribute__ ((__warn_unused_result__));






typedef int (*__compar_fn_t) (const void *, const void *);


typedef __compar_fn_t comparison_fn_t;



typedef int (*__compar_d_fn_t) (const void *, const void *, void *);




extern void *bsearch (const void *__key, const void *__base,
        size_t __nmemb, size_t __size, __compar_fn_t __compar)
     __attribute__ ((__nonnull__ (1, 2, 5))) __attribute__ ((__warn_unused_result__));


# 1 "/usr/aarch64-linux-gnu/include/bits/stdlib-bsearch.h" 1 3
# 19 "/usr/aarch64-linux-gnu/include/bits/stdlib-bsearch.h" 3
extern __inline __attribute__ ((__gnu_inline__)) void *
bsearch (const void *__key, const void *__base, size_t __nmemb, size_t __size,
  __compar_fn_t __compar)
{
  const void *__p;
  int __comparison;

  while (__nmemb)
    {
      __p = (const void *) (((const char *) __base) + ((__nmemb >> 1) * __size));
      __comparison = (*__compar) (__key, __p);
      if (__comparison == 0)
 {

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wcast-qual"

   return (void *) __p;

#pragma GCC diagnostic pop

 }
      if (__comparison > 0)
 {
   __base = ((const char *) __p) + __size;
   --__nmemb;
 }
      __nmemb >>= 1;
    }

  return __null;
}
# 966 "/usr/aarch64-linux-gnu/include/stdlib.h" 2 3




extern void qsort (void *__base, size_t __nmemb, size_t __size,
     __compar_fn_t __compar) __attribute__ ((__nonnull__ (1, 4)));

extern void qsort_r (void *__base, size_t __nmemb, size_t __size,
       __compar_d_fn_t __compar, void *__arg)
  __attribute__ ((__nonnull__ (1, 4)));




extern int abs (int __x) noexcept (true) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));
extern long int labs (long int __x) noexcept (true) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));


__extension__ extern long long int llabs (long long int __x)
     noexcept (true) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));



extern unsigned int uabs (int __x) noexcept (true) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));
extern unsigned long int ulabs (long int __x) noexcept (true) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));
__extension__ extern unsigned long long int ullabs (long long int __x)
     noexcept (true) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));





extern div_t div (int __numer, int __denom)
     noexcept (true) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));
extern ldiv_t ldiv (long int __numer, long int __denom)
     noexcept (true) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));


__extension__ extern lldiv_t lldiv (long long int __numer,
        long long int __denom)
     noexcept (true) __attribute__ ((__const__)) __attribute__ ((__warn_unused_result__));
# 1018 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern char *ecvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) noexcept (true) __attribute__ ((__nonnull__ (3, 4))) __attribute__ ((__warn_unused_result__));




extern char *fcvt (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign) noexcept (true) __attribute__ ((__nonnull__ (3, 4))) __attribute__ ((__warn_unused_result__));




extern char *gcvt (double __value, int __ndigit, char *__buf)
     noexcept (true) __attribute__ ((__nonnull__ (3))) __attribute__ ((__warn_unused_result__));




extern char *qecvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4))) __attribute__ ((__warn_unused_result__));
extern char *qfcvt (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4))) __attribute__ ((__warn_unused_result__));
extern char *qgcvt (long double __value, int __ndigit, char *__buf)
     noexcept (true) __attribute__ ((__nonnull__ (3))) __attribute__ ((__warn_unused_result__));




extern int ecvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) noexcept (true) __attribute__ ((__nonnull__ (3, 4, 5)));
extern int fcvt_r (double __value, int __ndigit, int *__restrict __decpt,
     int *__restrict __sign, char *__restrict __buf,
     size_t __len) noexcept (true) __attribute__ ((__nonnull__ (3, 4, 5)));

extern int qecvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4, 5)));
extern int qfcvt_r (long double __value, int __ndigit,
      int *__restrict __decpt, int *__restrict __sign,
      char *__restrict __buf, size_t __len)
     noexcept (true) __attribute__ ((__nonnull__ (3, 4, 5)));





extern int mblen (const char *__s, size_t __n) noexcept (true);


extern int mbtowc (wchar_t *__restrict __pwc,
     const char *__restrict __s, size_t __n) noexcept (true);


extern int wctomb (char *__s, wchar_t __wchar) noexcept (true);



extern size_t mbstowcs (wchar_t *__restrict __pwcs,
   const char *__restrict __s, size_t __n) noexcept (true)
    __attribute__ ((__access__ (__read_only__, 2)));

extern size_t wcstombs (char *__restrict __s,
   const wchar_t *__restrict __pwcs, size_t __n)
     noexcept (true)
  __attribute__ ((__access__ (__write_only__, 1, 3)))
  __attribute__ ((__access__ (__read_only__, 2)));






extern int rpmatch (const char *__response) noexcept (true) __attribute__ ((__nonnull__ (1))) __attribute__ ((__warn_unused_result__));
# 1105 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
extern int getsubopt (char **__restrict __optionp,
        char *const *__restrict __tokens,
        char **__restrict __valuep)
     noexcept (true) __attribute__ ((__nonnull__ (1, 2, 3))) __attribute__ ((__warn_unused_result__));







extern int posix_openpt (int __oflag) __attribute__ ((__warn_unused_result__));







extern int grantpt (int __fd) noexcept (true);



extern int unlockpt (int __fd) noexcept (true);




extern char *ptsname (int __fd) noexcept (true) __attribute__ ((__warn_unused_result__));






extern int ptsname_r (int __fd, char *__buf, size_t __buflen)
     noexcept (true) __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 2, 3)));


extern int getpt (void);






extern int getloadavg (double __loadavg[], int __nelem)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 1161 "/usr/aarch64-linux-gnu/include/stdlib.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/stdlib-float.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/stdlib-float.h" 3
extern __inline __attribute__ ((__gnu_inline__)) double
__attribute__ ((__leaf__)) atof (const char *__nptr) noexcept (true)
{
  return strtod (__nptr, (char **) __null);
}
# 1162 "/usr/aarch64-linux-gnu/include/stdlib.h" 2 3



# 1 "/usr/aarch64-linux-gnu/include/bits/stdlib.h" 1 3
# 23 "/usr/aarch64-linux-gnu/include/bits/stdlib.h" 3
extern char *__realpath_chk (const char *__restrict __name,
        char *__restrict __resolved,
        size_t __resolvedlen) noexcept (true) __attribute__ ((__warn_unused_result__));
extern char *__realpath_alias (const char *__restrict __name, char *__restrict __resolved) noexcept (true) __asm__ ("" "realpath")

                                                 __attribute__ ((__warn_unused_result__));
extern char *__realpath_chk_warn (const char *__restrict __name, char *__restrict __resolved, size_t __resolvedlen) noexcept (true) __asm__ ("" "__realpath_chk")


                                                __attribute__ ((__warn_unused_result__))
     __attribute__((__warning__ ("second argument of realpath must be either NULL or at " "least PATH_MAX bytes long buffer")))
                                      ;

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) char *
__attribute__ ((__leaf__)) realpath (const char *__restrict __name, char * __restrict __resolved) noexcept (true)







{
  size_t __sz = __builtin_object_size (__resolved, 2 > 1);

  if (__sz == (size_t) -1)
    return __realpath_alias (__name, __resolved);





  return __realpath_chk (__name, __resolved, __sz);
}


extern int __ptsname_r_chk (int __fd, char *__buf, size_t __buflen,
       size_t __nreal) noexcept (true) __attribute__ ((__nonnull__ (2)))
    __attribute__ ((__access__ (__write_only__, 2, 3)));
extern int __ptsname_r_alias (int __fd, char *__buf, size_t __buflen) noexcept (true) __asm__ ("" "ptsname_r")

     __attribute__ ((__nonnull__ (2))) __attribute__ ((__access__ (__write_only__, 2, 3)));
extern int __ptsname_r_chk_warn (int __fd, char *__buf, size_t __buflen, size_t __nreal) noexcept (true) __asm__ ("" "__ptsname_r_chk")


     __attribute__ ((__nonnull__ (2))) __attribute__((__warning__ ("ptsname_r called with buflen bigger than " "size of buf")))
                   ;

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) int
__attribute__ ((__leaf__)) ptsname_r (int __fd, char * __buf, size_t __buflen) noexcept (true)


    


{
  return (((__builtin_constant_p (__builtin_object_size (__buf, 2 > 1)) && (__builtin_object_size (__buf, 2 > 1)) == (long unsigned int) -1) || (((__typeof (__buflen)) 0 < (__typeof (__buflen)) -1 || (__builtin_constant_p (__buflen) && (__buflen) > 0)) && __builtin_constant_p ((((long unsigned int) (__buflen)) <= ((__builtin_object_size (__buf, 2 > 1))) / ((sizeof (char))))) && (((long unsigned int) (__buflen)) <= ((__builtin_object_size (__buf, 2 > 1))) / ((sizeof (char)))))) ? __ptsname_r_alias (__fd, __buf, __buflen) : ((((__typeof (__buflen)) 0 < (__typeof (__buflen)) -1 || (__builtin_constant_p (__buflen) && (__buflen) > 0)) && __builtin_constant_p ((((long unsigned int) (__buflen)) <= (__builtin_object_size (__buf, 2 > 1)) / (sizeof (char)))) && !(((long unsigned int) (__buflen)) <= (__builtin_object_size (__buf, 2 > 1)) / (sizeof (char)))) ? __ptsname_r_chk_warn (__fd, __buf, __buflen, __builtin_object_size (__buf, 2 > 1)) : __ptsname_r_chk (__fd, __buf, __buflen, __builtin_object_size (__buf, 2 > 1))))

                           ;
}


extern int __wctomb_chk (char *__s, wchar_t __wchar, size_t __buflen)
  noexcept (true) __attribute__ ((__warn_unused_result__));
extern int __wctomb_alias (char *__s, wchar_t __wchar) noexcept (true) __asm__ ("" "wctomb")
              __attribute__ ((__warn_unused_result__));

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) __attribute__ ((__warn_unused_result__)) int
__attribute__ ((__leaf__)) wctomb (char * __s, wchar_t __wchar) noexcept (true)
{







  if (__builtin_object_size (__s, 2 > 1) != (size_t) -1
      && 16 > __builtin_object_size (__s, 2 > 1))
    return __wctomb_chk (__s, __wchar, __builtin_object_size (__s, 2 > 1));
  return __wctomb_alias (__s, __wchar);
}


extern size_t __mbstowcs_chk (wchar_t *__restrict __dst,
         const char *__restrict __src,
         size_t __len, size_t __dstlen) noexcept (true)
    __attribute__ ((__access__ (__write_only__, 1, 3))) __attribute__ ((__access__ (__read_only__, 2)));
extern size_t __mbstowcs_nulldst (wchar_t *__restrict __dst, const char *__restrict __src, size_t __len) noexcept (true) __asm__ ("" "mbstowcs")



    __attribute__ ((__access__ (__read_only__, 2)));
extern size_t __mbstowcs_alias (wchar_t *__restrict __dst, const char *__restrict __src, size_t __len) noexcept (true) __asm__ ("" "mbstowcs")



    __attribute__ ((__access__ (__write_only__, 1, 3))) __attribute__ ((__access__ (__read_only__, 2)));
extern size_t __mbstowcs_chk_warn (wchar_t *__restrict __dst, const char *__restrict __src, size_t __len, size_t __dstlen) noexcept (true) __asm__ ("" "__mbstowcs_chk")



     __attribute__((__warning__ ("mbstowcs called with dst buffer smaller than len " "* sizeof (wchar_t)")))
                        ;

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) size_t
__attribute__ ((__leaf__)) mbstowcs (wchar_t * __restrict __dst, const char *__restrict __src, size_t __len) noexcept (true)


    


{
  if (__builtin_constant_p (__dst == __null) && __dst == __null)
    return __mbstowcs_nulldst (__dst, __src, __len);
  else
    return (((__builtin_constant_p (__builtin_object_size (__dst, 2 > 1)) && (__builtin_object_size (__dst, 2 > 1)) == (long unsigned int) -1) || (((__typeof (__len)) 0 < (__typeof (__len)) -1 || (__builtin_constant_p (__len) && (__len) > 0)) && __builtin_constant_p ((((long unsigned int) (__len)) <= ((__builtin_object_size (__dst, 2 > 1))) / ((sizeof (wchar_t))))) && (((long unsigned int) (__len)) <= ((__builtin_object_size (__dst, 2 > 1))) / ((sizeof (wchar_t)))))) ? __mbstowcs_alias (__dst, __src, __len) : ((((__typeof (__len)) 0 < (__typeof (__len)) -1 || (__builtin_constant_p (__len) && (__len) > 0)) && __builtin_constant_p ((((long unsigned int) (__len)) <= (__builtin_object_size (__dst, 2 > 1)) / (sizeof (wchar_t)))) && !(((long unsigned int) (__len)) <= (__builtin_object_size (__dst, 2 > 1)) / (sizeof (wchar_t)))) ? __mbstowcs_chk_warn (__dst, __src, __len, (__builtin_object_size (__dst, 2 > 1)) / (sizeof (wchar_t))) : __mbstowcs_chk (__dst, __src, __len, (__builtin_object_size (__dst, 2 > 1)) / (sizeof (wchar_t)))))
                                                      ;
}

extern size_t __wcstombs_chk (char *__restrict __dst,
         const wchar_t *__restrict __src,
         size_t __len, size_t __dstlen) noexcept (true)
  __attribute__ ((__access__ (__write_only__, 1, 3))) __attribute__ ((__access__ (__read_only__, 2)));
extern size_t __wcstombs_alias (char *__restrict __dst, const wchar_t *__restrict __src, size_t __len) noexcept (true) __asm__ ("" "wcstombs")



  __attribute__ ((__access__ (__write_only__, 1, 3))) __attribute__ ((__access__ (__read_only__, 2)));
extern size_t __wcstombs_chk_warn (char *__restrict __dst, const wchar_t *__restrict __src, size_t __len, size_t __dstlen) noexcept (true) __asm__ ("" "__wcstombs_chk")



     __attribute__((__warning__ ("wcstombs called with dst buffer smaller than len")));

extern __inline __attribute__ ((__always_inline__)) __attribute__ ((__gnu_inline__)) __attribute__ ((__artificial__)) size_t
__attribute__ ((__leaf__)) wcstombs (char * __restrict __dst, const wchar_t *__restrict __src, size_t __len) noexcept (true)


{
  return (((__builtin_constant_p (__builtin_object_size (__dst, 2 > 1)) && (__builtin_object_size (__dst, 2 > 1)) == (long unsigned int) -1) || (((__typeof (__len)) 0 < (__typeof (__len)) -1 || (__builtin_constant_p (__len) && (__len) > 0)) && __builtin_constant_p ((((long unsigned int) (__len)) <= ((__builtin_object_size (__dst, 2 > 1))) / ((sizeof (char))))) && (((long unsigned int) (__len)) <= ((__builtin_object_size (__dst, 2 > 1))) / ((sizeof (char)))))) ? __wcstombs_alias (__dst, __src, __len) : ((((__typeof (__len)) 0 < (__typeof (__len)) -1 || (__builtin_constant_p (__len) && (__len) > 0)) && __builtin_constant_p ((((long unsigned int) (__len)) <= (__builtin_object_size (__dst, 2 > 1)) / (sizeof (char)))) && !(((long unsigned int) (__len)) <= (__builtin_object_size (__dst, 2 > 1)) / (sizeof (char)))) ? __wcstombs_chk_warn (__dst, __src, __len, __builtin_object_size (__dst, 2 > 1)) : __wcstombs_chk (__dst, __src, __len, __builtin_object_size (__dst, 2 > 1))))

                         ;
}
# 1166 "/usr/aarch64-linux-gnu/include/stdlib.h" 2 3







}
# 84 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 2 3

 
# 85 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 3
#pragma GCC diagnostic pop

# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/std_abs.h" 1 3
# 39 "/usr/aarch64-linux-gnu/include/c++/15/bits/std_abs.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpedantic"
#pragma GCC diagnostic ignored "-Wlong-long"
# 52 "/usr/aarch64-linux-gnu/include/c++/15/bits/std_abs.h" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::abs;


  inline long
  abs(long __i) { return __builtin_labs(__i); }



  inline long long
  abs(long long __x) { return __builtin_llabs (__x); }
# 76 "/usr/aarch64-linux-gnu/include/c++/15/bits/std_abs.h" 3
  inline constexpr double
  abs(double __x)
  { return __builtin_fabs(__x); }

  inline constexpr float
  abs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  abs(long double __x)
  { return __builtin_fabsl(__x); }



  __extension__ inline constexpr __int128
  abs(__int128 __x) { return __x >= 0 ? __x : -__x; }
# 156 "/usr/aarch64-linux-gnu/include/c++/15/bits/std_abs.h" 3

}
}

#pragma GCC diagnostic pop
# 88 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 2 3
# 131 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::div_t;
  using ::ldiv_t;

  using ::abort;

  using ::aligned_alloc;

  using ::atexit;


  using ::at_quick_exit;


  using ::atof;
  using ::atoi;
  using ::atol;
  using ::bsearch;
  using ::calloc;
  using ::div;
  using ::exit;
  using ::free;
  using ::getenv;
  using ::labs;
  using ::ldiv;
  using ::malloc;

  using ::mblen;
  using ::mbstowcs;
  using ::mbtowc;

  using ::qsort;


  using ::quick_exit;


  using ::rand;
  using ::realloc;
  using ::srand;
  using ::strtod;
  using ::strtol;
  using ::strtoul;
  using ::system;

  using ::wcstombs;
  using ::wctomb;



  inline ldiv_t
  div(long __i, long __j) noexcept { return ldiv(__i, __j); }




}
# 205 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 3
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{



  using ::lldiv_t;





  using ::_Exit;



#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wlong-long"
  using ::llabs;

  inline lldiv_t
  div(long long __n, long long __d)
  { lldiv_t __q; __q.quot = __n / __d; __q.rem = __n % __d; return __q; }

  using ::lldiv;
#pragma GCC diagnostic pop
# 240 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 3
  using ::atoll;
  using ::strtoll;
  using ::strtoull;

  using ::strtof;
  using ::strtold;


}

namespace std
{

  using ::__gnu_cxx::lldiv_t;

  using ::__gnu_cxx::_Exit;

  using ::__gnu_cxx::llabs;
  using ::__gnu_cxx::div;
  using ::__gnu_cxx::lldiv;

  using ::__gnu_cxx::atoll;
  using ::__gnu_cxx::strtof;
  using ::__gnu_cxx::strtoll;
  using ::__gnu_cxx::strtoull;
  using ::__gnu_cxx::strtold;
}
# 284 "/usr/aarch64-linux-gnu/include/c++/15/cstdlib" 3
}
# 37 "/usr/aarch64-linux-gnu/include/c++/15/stdlib.h" 2 3

using std::abort;
using std::atexit;
using std::exit;


  using std::at_quick_exit;


  using std::quick_exit;


  using std::_Exit;




using std::div_t;
using std::ldiv_t;

using std::abs;
using std::atof;
using std::atoi;
using std::atol;
using std::bsearch;
using std::calloc;
using std::div;
using std::free;
using std::getenv;
using std::labs;
using std::ldiv;
using std::malloc;

using std::mblen;
using std::mbstowcs;
using std::mbtowc;

using std::qsort;
using std::rand;
using std::realloc;
using std::srand;
using std::strtod;
using std::strtol;
using std::strtoul;
using std::system;

using std::wcstombs;
using std::wctomb;
# 90 "asc2eph.cpp" 2
# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stdint.h" 1 3 4
# 9 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stdint.h" 3 4
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpedantic"
# 1 "/usr/aarch64-linux-gnu/include/stdint.h" 1 3 4
# 26 "/usr/aarch64-linux-gnu/include/stdint.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/libc-header-start.h" 1 3 4
# 27 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4

# 1 "/usr/aarch64-linux-gnu/include/bits/wchar.h" 1 3 4
# 29 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3 4
# 30 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4







# 1 "/usr/aarch64-linux-gnu/include/bits/stdint-uintn.h" 1 3 4
# 24 "/usr/aarch64-linux-gnu/include/bits/stdint-uintn.h" 3 4
typedef __uint8_t uint8_t;
typedef __uint16_t uint16_t;
typedef __uint32_t uint32_t;
typedef __uint64_t uint64_t;
# 38 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4



# 1 "/usr/aarch64-linux-gnu/include/bits/stdint-least.h" 1 3 4
# 25 "/usr/aarch64-linux-gnu/include/bits/stdint-least.h" 3 4
typedef __int_least8_t int_least8_t;
typedef __int_least16_t int_least16_t;
typedef __int_least32_t int_least32_t;
typedef __int_least64_t int_least64_t;


typedef __uint_least8_t uint_least8_t;
typedef __uint_least16_t uint_least16_t;
typedef __uint_least32_t uint_least32_t;
typedef __uint_least64_t uint_least64_t;
# 42 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4





typedef signed char int_fast8_t;

typedef long int int_fast16_t;
typedef long int int_fast32_t;
typedef long int int_fast64_t;
# 60 "/usr/aarch64-linux-gnu/include/stdint.h" 3 4
typedef unsigned char uint_fast8_t;

typedef unsigned long int uint_fast16_t;
typedef unsigned long int uint_fast32_t;
typedef unsigned long int uint_fast64_t;
# 76 "/usr/aarch64-linux-gnu/include/stdint.h" 3 4
typedef long int intptr_t;


typedef unsigned long int uintptr_t;
# 90 "/usr/aarch64-linux-gnu/include/stdint.h" 3 4
typedef __intmax_t intmax_t;
typedef __uintmax_t uintmax_t;
# 12 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stdint.h" 2 3 4
#pragma GCC diagnostic pop
# 91 "asc2eph.cpp" 2
# 1 "/usr/aarch64-linux-gnu/include/c++/15/math.h" 1 3
# 36 "/usr/aarch64-linux-gnu/include/c++/15/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 1 3
# 46 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/requires_hosted.h" 1 3
# 47 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 2 3


# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 1 3
# 40 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/version.h" 1 3
# 41 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 2 3

# 1 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 1 3
# 67 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/version.h" 1 3
# 68 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 2 3

extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  template<typename _Tp>
    class reference_wrapper;
# 92 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp, _Tp __v>
    struct integral_constant
    {
      static constexpr _Tp value = __v;
      using value_type = _Tp;
      using type = integral_constant<_Tp, __v>;
      constexpr operator value_type() const noexcept { return value; }


      constexpr value_type operator()() const noexcept { return value; }

    };
# 112 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<bool __v>
    using __bool_constant = integral_constant<bool, __v>;



  using true_type = __bool_constant<true>;


  using false_type = __bool_constant<false>;




  template<bool __v>
    using bool_constant = __bool_constant<__v>;






  template<bool, typename _Tp = void>
    struct enable_if
    { };


  template<typename _Tp>
    struct enable_if<true, _Tp>
    { using type = _Tp; };


  template<bool _Cond, typename _Tp = void>
    using __enable_if_t = typename enable_if<_Cond, _Tp>::type;

  template<bool>
    struct __conditional
    {
      template<typename _Tp, typename>
 using type = _Tp;
    };

  template<>
    struct __conditional<false>
    {
      template<typename, typename _Up>
 using type = _Up;
    };


  template<bool _Cond, typename _If, typename _Else>
    using __conditional_t
      = typename __conditional<_Cond>::template type<_If, _Else>;


  template <typename _Type>
    struct __type_identity
    { using type = _Type; };

  template<typename _Tp>
    using __type_identity_t = typename __type_identity<_Tp>::type;

  namespace __detail
  {

    template<typename _Tp, typename...>
      using __first_t = _Tp;


    template<typename... _Bn>
      auto __or_fn(int) -> __first_t<false_type,
         __enable_if_t<!bool(_Bn::value)>...>;

    template<typename... _Bn>
      auto __or_fn(...) -> true_type;

    template<typename... _Bn>
      auto __and_fn(int) -> __first_t<true_type,
          __enable_if_t<bool(_Bn::value)>...>;

    template<typename... _Bn>
      auto __and_fn(...) -> false_type;
  }




  template<typename... _Bn>
    struct __or_
    : decltype(__detail::__or_fn<_Bn...>(0))
    { };

  template<typename... _Bn>
    struct __and_
    : decltype(__detail::__and_fn<_Bn...>(0))
    { };

  template<typename _Pp>
    struct __not_
    : __bool_constant<!bool(_Pp::value)>
    { };





  template<typename... _Bn>
    inline constexpr bool __or_v = __or_<_Bn...>::value;
  template<typename... _Bn>
    inline constexpr bool __and_v = __and_<_Bn...>::value;

  namespace __detail
  {
    template<typename , typename _B1, typename... _Bn>
      struct __disjunction_impl
      { using type = _B1; };

    template<typename _B1, typename _B2, typename... _Bn>
      struct __disjunction_impl<__enable_if_t<!bool(_B1::value)>, _B1, _B2, _Bn...>
      { using type = typename __disjunction_impl<void, _B2, _Bn...>::type; };

    template<typename , typename _B1, typename... _Bn>
      struct __conjunction_impl
      { using type = _B1; };

    template<typename _B1, typename _B2, typename... _Bn>
      struct __conjunction_impl<__enable_if_t<bool(_B1::value)>, _B1, _B2, _Bn...>
      { using type = typename __conjunction_impl<void, _B2, _Bn...>::type; };
  }


  template<typename... _Bn>
    struct conjunction
    : __detail::__conjunction_impl<void, _Bn...>::type
    { };

  template<>
    struct conjunction<>
    : true_type
    { };

  template<typename... _Bn>
    struct disjunction
    : __detail::__disjunction_impl<void, _Bn...>::type
    { };

  template<>
    struct disjunction<>
    : false_type
    { };

  template<typename _Pp>
    struct negation
    : __not_<_Pp>::type
    { };




  template<typename... _Bn>
    inline constexpr bool conjunction_v = conjunction<_Bn...>::value;

  template<typename... _Bn>
    inline constexpr bool disjunction_v = disjunction<_Bn...>::value;

  template<typename _Pp>
    inline constexpr bool negation_v = negation<_Pp>::value;





  template<typename>
    struct is_reference;
  template<typename>
    struct is_function;
  template<typename>
    struct is_void;
  template<typename>
    struct remove_cv;
  template<typename>
    struct is_const;


  template<typename>
    struct __is_array_unknown_bounds;




  template <typename _Tp, size_t = sizeof(_Tp)>
    constexpr true_type __is_complete_or_unbounded(__type_identity<_Tp>)
    { return {}; }

  template <typename _TypeIdentity,
      typename _NestedType = typename _TypeIdentity::type>
    constexpr typename __or_<
      is_reference<_NestedType>,
      is_function<_NestedType>,
      is_void<_NestedType>,
      __is_array_unknown_bounds<_NestedType>
    >::type __is_complete_or_unbounded(_TypeIdentity)
    { return {}; }


  template<typename _Tp>
    using __remove_cv_t = typename remove_cv<_Tp>::type;





  template<typename _Tp>
    struct is_void
    : public false_type { };

  template<>
    struct is_void<void>
    : public true_type { };

  template<>
    struct is_void<const void>
    : public true_type { };

  template<>
    struct is_void<volatile void>
    : public true_type { };

  template<>
    struct is_void<const volatile void>
    : public true_type { };


  template<typename>
    struct __is_integral_helper
    : public false_type { };

  template<>
    struct __is_integral_helper<bool>
    : public true_type { };

  template<>
    struct __is_integral_helper<char>
    : public true_type { };

  template<>
    struct __is_integral_helper<signed char>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned char>
    : public true_type { };




  template<>
    struct __is_integral_helper<wchar_t>
    : public true_type { };







  template<>
    struct __is_integral_helper<char16_t>
    : public true_type { };

  template<>
    struct __is_integral_helper<char32_t>
    : public true_type { };

  template<>
    struct __is_integral_helper<short>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned short>
    : public true_type { };

  template<>
    struct __is_integral_helper<int>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned int>
    : public true_type { };

  template<>
    struct __is_integral_helper<long>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned long>
    : public true_type { };

  template<>
    struct __is_integral_helper<long long>
    : public true_type { };

  template<>
    struct __is_integral_helper<unsigned long long>
    : public true_type { };




  __extension__
  template<>
    struct __is_integral_helper<__int128>
    : public true_type { };

  __extension__
  template<>
    struct __is_integral_helper<unsigned __int128>
    : public true_type { };
# 466 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_integral
    : public __is_integral_helper<__remove_cv_t<_Tp>>::type
    { };


  template<typename>
    struct __is_floating_point_helper
    : public false_type { };

  template<>
    struct __is_floating_point_helper<float>
    : public true_type { };

  template<>
    struct __is_floating_point_helper<double>
    : public true_type { };

  template<>
    struct __is_floating_point_helper<long double>
    : public true_type { };
# 526 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_floating_point
    : public __is_floating_point_helper<__remove_cv_t<_Tp>>::type
    { };



  template<typename _Tp>
    struct is_array
    : public __bool_constant<__is_array(_Tp)>
    { };
# 553 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_pointer
    : public __bool_constant<__is_pointer(_Tp)>
    { };
# 580 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename>
    struct is_lvalue_reference
    : public false_type { };

  template<typename _Tp>
    struct is_lvalue_reference<_Tp&>
    : public true_type { };


  template<typename>
    struct is_rvalue_reference
    : public false_type { };

  template<typename _Tp>
    struct is_rvalue_reference<_Tp&&>
    : public true_type { };



  template<typename _Tp>
    struct is_member_object_pointer
    : public __bool_constant<__is_member_object_pointer(_Tp)>
    { };
# 621 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_member_function_pointer
    : public __bool_constant<__is_member_function_pointer(_Tp)>
    { };
# 642 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_enum
    : public __bool_constant<__is_enum(_Tp)>
    { };


  template<typename _Tp>
    struct is_union
    : public __bool_constant<__is_union(_Tp)>
    { };


  template<typename _Tp>
    struct is_class
    : public __bool_constant<__is_class(_Tp)>
    { };



  template<typename _Tp>
    struct is_function
    : public __bool_constant<__is_function(_Tp)>
    { };
# 681 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_null_pointer
    : public false_type { };

  template<>
    struct is_null_pointer<std::nullptr_t>
    : public true_type { };

  template<>
    struct is_null_pointer<const std::nullptr_t>
    : public true_type { };

  template<>
    struct is_null_pointer<volatile std::nullptr_t>
    : public true_type { };

  template<>
    struct is_null_pointer<const volatile std::nullptr_t>
    : public true_type { };



  template<typename _Tp>
    struct __is_nullptr_t
    : public is_null_pointer<_Tp>
    { } __attribute__ ((__deprecated__ ("use '" "std::is_null_pointer" "' instead")));






  template<typename _Tp>
    struct is_reference
    : public __bool_constant<__is_reference(_Tp)>
    { };
# 735 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_arithmetic
    : public __or_<is_integral<_Tp>, is_floating_point<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_fundamental
    : public __or_<is_arithmetic<_Tp>, is_void<_Tp>,
     is_null_pointer<_Tp>>::type
    { };



  template<typename _Tp>
    struct is_object
    : public __bool_constant<__is_object(_Tp)>
    { };
# 761 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename>
    struct is_member_pointer;


  template<typename _Tp>
    struct is_scalar
    : public __or_<is_arithmetic<_Tp>, is_enum<_Tp>, is_pointer<_Tp>,
                   is_member_pointer<_Tp>, is_null_pointer<_Tp>>::type
    { };


  template<typename _Tp>
    struct is_compound
    : public __bool_constant<!is_fundamental<_Tp>::value> { };



  template<typename _Tp>
    struct is_member_pointer
    : public __bool_constant<__is_member_pointer(_Tp)>
    { };
# 799 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename, typename>
    struct is_same;


  template<typename _Tp, typename... _Types>
    using __is_one_of = __or_<is_same<_Tp, _Types>...>;


  __extension__
  template<typename _Tp>
    using __is_signed_integer = __is_one_of<__remove_cv_t<_Tp>,
   signed char, signed short, signed int, signed long,
   signed long long

   , signed __int128
# 824 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
   >;


  __extension__
  template<typename _Tp>
    using __is_unsigned_integer = __is_one_of<__remove_cv_t<_Tp>,
   unsigned char, unsigned short, unsigned int, unsigned long,
   unsigned long long

   , unsigned __int128
# 844 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
   >;


  template<typename _Tp>
    using __is_standard_integer
      = __or_<__is_signed_integer<_Tp>, __is_unsigned_integer<_Tp>>;


  template<typename...> using __void_t = void;






  template<typename _Tp>
    struct is_const
    : public __bool_constant<__is_const(_Tp)>
    { };
# 875 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_volatile
    : public __bool_constant<__is_volatile(_Tp)>
    { };
# 896 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct
   
    is_trivial
    : public __bool_constant<__is_trivial(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_copyable
    : public __bool_constant<__is_trivially_copyable(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_standard_layout
    : public __bool_constant<__is_standard_layout(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };






  template<typename _Tp>
    struct
   
    is_pod
    : public __bool_constant<__is_pod(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };





  template<typename _Tp>
    struct
    [[__deprecated__]]
    is_literal_type
    : public __bool_constant<__is_literal_type(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_empty
    : public __bool_constant<__is_empty(_Tp)>
    { };


  template<typename _Tp>
    struct is_polymorphic
    : public __bool_constant<__is_polymorphic(_Tp)>
    { };




  template<typename _Tp>
    struct is_final
    : public __bool_constant<__is_final(_Tp)>
    { };



  template<typename _Tp>
    struct is_abstract
    : public __bool_constant<__is_abstract(_Tp)>
    { };


  template<typename _Tp,
    bool = is_arithmetic<_Tp>::value>
    struct __is_signed_helper
    : public false_type { };

  template<typename _Tp>
    struct __is_signed_helper<_Tp, true>
    : public __bool_constant<_Tp(-1) < _Tp(0)>
    { };



  template<typename _Tp>
    struct is_signed
    : public __is_signed_helper<_Tp>::type
    { };


  template<typename _Tp>
    struct is_unsigned
    : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>::type
    { };


  template<typename _Tp, typename _Up = _Tp&&>
    _Up
    __declval(int);

  template<typename _Tp>
    _Tp
    __declval(long);


  template<typename _Tp>
    auto declval() noexcept -> decltype(__declval<_Tp>(0));

  template<typename>
    struct remove_all_extents;


  template<typename _Tp>
    struct __is_array_known_bounds
    : public false_type
    { };

  template<typename _Tp, size_t _Size>
    struct __is_array_known_bounds<_Tp[_Size]>
    : public true_type
    { };

  template<typename _Tp>
    struct __is_array_unknown_bounds
    : public false_type
    { };

  template<typename _Tp>
    struct __is_array_unknown_bounds<_Tp[]>
    : public true_type
    { };
# 1048 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  struct __do_is_destructible_impl
  {
    template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())>
      static true_type __test(int);

    template<typename>
      static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_destructible_impl
    : public __do_is_destructible_impl
    {
      using type = decltype(__test<_Tp>(0));
    };

  template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>,
                        is_function<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
    struct __is_destructible_safe;

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, false>
    : public __is_destructible_impl<typename
               remove_all_extents<_Tp>::type>::type
    { };

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, true, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, true>
    : public true_type { };



  template<typename _Tp>
    struct is_destructible
    : public __is_destructible_safe<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };







  struct __do_is_nt_destructible_impl
  {
    template<typename _Tp>
      static __bool_constant<noexcept(declval<_Tp&>().~_Tp())>
      __test(int);

    template<typename>
      static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_nt_destructible_impl
    : public __do_is_nt_destructible_impl
    {
      using type = decltype(__test<_Tp>(0));
    };

  template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>,
                        is_function<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
    struct __is_nt_destructible_safe;

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, false>
    : public __is_nt_destructible_impl<typename
               remove_all_extents<_Tp>::type>::type
    { };

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, true, false>
    : public false_type { };

  template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, true>
    : public true_type { };



  template<typename _Tp>
    struct is_nothrow_destructible
    : public __is_nt_destructible_safe<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename... _Args>
    using __is_constructible_impl
      = __bool_constant<__is_constructible(_Tp, _Args...)>;



  template<typename _Tp, typename... _Args>
    struct is_constructible
      : public __is_constructible_impl<_Tp, _Args...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_default_constructible
    : public __is_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp>
    using __add_lval_ref_t = __add_lvalue_reference(_Tp);
# 1192 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_copy_constructible
    : public __is_constructible_impl<_Tp, __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp>
    using __add_rval_ref_t = __add_rvalue_reference(_Tp);
# 1219 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct is_move_constructible
    : public __is_constructible_impl<_Tp, __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename... _Args>
    using __is_nothrow_constructible_impl
      = __bool_constant<__is_nothrow_constructible(_Tp, _Args...)>;



  template<typename _Tp, typename... _Args>
    struct is_nothrow_constructible
    : public __is_nothrow_constructible_impl<_Tp, _Args...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_default_constructible
    : public __is_nothrow_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_copy_constructible
    : public __is_nothrow_constructible_impl<_Tp, __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_move_constructible
    : public __is_nothrow_constructible_impl<_Tp, __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    using __is_assignable_impl = __bool_constant<__is_assignable(_Tp, _Up)>;



  template<typename _Tp, typename _Up>
    struct is_assignable
    : public __is_assignable_impl<_Tp, _Up>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_copy_assignable
    : public __is_assignable_impl<__add_lval_ref_t<_Tp>,
      __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_move_assignable
    : public __is_assignable_impl<__add_lval_ref_t<_Tp>, __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    using __is_nothrow_assignable_impl
      = __bool_constant<__is_nothrow_assignable(_Tp, _Up)>;



  template<typename _Tp, typename _Up>
    struct is_nothrow_assignable
    : public __is_nothrow_assignable_impl<_Tp, _Up>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_copy_assignable
    : public __is_nothrow_assignable_impl<__add_lval_ref_t<_Tp>,
       __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_move_assignable
    : public __is_nothrow_assignable_impl<__add_lval_ref_t<_Tp>,
       __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename... _Args>
    using __is_trivially_constructible_impl
      = __bool_constant<__is_trivially_constructible(_Tp, _Args...)>;



  template<typename _Tp, typename... _Args>
    struct is_trivially_constructible
    : public __is_trivially_constructible_impl<_Tp, _Args...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_default_constructible
    : public __is_trivially_constructible_impl<_Tp>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };
# 1371 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  struct __do_is_implicitly_default_constructible_impl
  {
    template <typename _Tp>
    static void __helper(const _Tp&);

    template <typename _Tp>
    static true_type __test(const _Tp&,
                            decltype(__helper<const _Tp&>({}))* = 0);

    static false_type __test(...);
  };

  template<typename _Tp>
    struct __is_implicitly_default_constructible_impl
    : public __do_is_implicitly_default_constructible_impl
    {
      using type = decltype(__test(declval<_Tp>()));
    };

  template<typename _Tp>
    struct __is_implicitly_default_constructible_safe
    : public __is_implicitly_default_constructible_impl<_Tp>::type
    { };

  template <typename _Tp>
    struct __is_implicitly_default_constructible
    : public __and_<__is_constructible_impl<_Tp>,
      __is_implicitly_default_constructible_safe<_Tp>>::type
    { };



  template<typename _Tp>
    struct is_trivially_copy_constructible
    : public __is_trivially_constructible_impl<_Tp, __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_move_constructible
    : public __is_trivially_constructible_impl<_Tp, __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    using __is_trivially_assignable_impl
      = __bool_constant<__is_trivially_assignable(_Tp, _Up)>;



  template<typename _Tp, typename _Up>
    struct is_trivially_assignable
    : public __is_trivially_assignable_impl<_Tp, _Up>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_copy_assignable
    : public __is_trivially_assignable_impl<__add_lval_ref_t<_Tp>,
         __add_lval_ref_t<const _Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_move_assignable
    : public __is_trivially_assignable_impl<__add_lval_ref_t<_Tp>,
         __add_rval_ref_t<_Tp>>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_trivially_destructible
    : public __and_<__is_destructible_safe<_Tp>,
      __bool_constant<__has_trivial_destructor(_Tp)>>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp>
    struct has_virtual_destructor
    : public __bool_constant<__has_virtual_destructor(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };





  template<typename _Tp>
    struct alignment_of
    : public integral_constant<std::size_t, alignof(_Tp)>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };




  template<typename _Tp>
    struct rank
    : public integral_constant<std::size_t, __array_rank(_Tp)> { };
# 1508 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename, unsigned _Uint = 0>
    struct extent
    : public integral_constant<size_t, 0> { };

  template<typename _Tp, size_t _Size>
    struct extent<_Tp[_Size], 0>
    : public integral_constant<size_t, _Size> { };

  template<typename _Tp, unsigned _Uint, size_t _Size>
    struct extent<_Tp[_Size], _Uint>
    : public extent<_Tp, _Uint - 1>::type { };

  template<typename _Tp>
    struct extent<_Tp[], 0>
    : public integral_constant<size_t, 0> { };

  template<typename _Tp, unsigned _Uint>
    struct extent<_Tp[], _Uint>
    : public extent<_Tp, _Uint - 1>::type { };






  template<typename _Tp, typename _Up>
    struct is_same
    : public __bool_constant<__is_same(_Tp, _Up)>
    { };
# 1550 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Base, typename _Derived>
    struct is_base_of
    : public __bool_constant<__is_base_of(_Base, _Derived)>
    { };
# 1565 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _From, typename _To>
    struct is_convertible
    : public __bool_constant<__is_convertible(_From, _To)>
    { };
# 1608 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _ToElementType, typename _FromElementType>
    using __is_array_convertible
      = is_convertible<_FromElementType(*)[], _ToElementType(*)[]>;
# 1668 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wc++14-extensions"
  template<typename _Tp, typename... _Args>
    struct __is_nothrow_new_constructible_impl
    : __bool_constant<
 noexcept(::new(std::declval<void*>()) _Tp(std::declval<_Args>()...))
      >
    { };

  template<typename _Tp, typename... _Args>
    inline constexpr bool __is_nothrow_new_constructible
      = __and_<is_constructible<_Tp, _Args...>,
        __is_nothrow_new_constructible_impl<_Tp, _Args...>>::value;
#pragma GCC diagnostic pop




  template<typename _Tp>
    struct remove_const
    { using type = _Tp; };

  template<typename _Tp>
    struct remove_const<_Tp const>
    { using type = _Tp; };


  template<typename _Tp>
    struct remove_volatile
    { using type = _Tp; };

  template<typename _Tp>
    struct remove_volatile<_Tp volatile>
    { using type = _Tp; };



  template<typename _Tp>
    struct remove_cv
    { using type = __remove_cv(_Tp); };
# 1727 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct add_const
    { using type = _Tp const; };


  template<typename _Tp>
    struct add_volatile
    { using type = _Tp volatile; };


  template<typename _Tp>
    struct add_cv
    { using type = _Tp const volatile; };



  template<typename _Tp>
    using remove_const_t = typename remove_const<_Tp>::type;


  template<typename _Tp>
    using remove_volatile_t = typename remove_volatile<_Tp>::type;


  template<typename _Tp>
    using remove_cv_t = typename remove_cv<_Tp>::type;


  template<typename _Tp>
    using add_const_t = typename add_const<_Tp>::type;


  template<typename _Tp>
    using add_volatile_t = typename add_volatile<_Tp>::type;


  template<typename _Tp>
    using add_cv_t = typename add_cv<_Tp>::type;






  template<typename _Tp>
    struct remove_reference
    { using type = __remove_reference(_Tp); };
# 1789 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct add_lvalue_reference
    { using type = __add_lval_ref_t<_Tp>; };


  template<typename _Tp>
    struct add_rvalue_reference
    { using type = __add_rval_ref_t<_Tp>; };



  template<typename _Tp>
    using remove_reference_t = typename remove_reference<_Tp>::type;


  template<typename _Tp>
    using add_lvalue_reference_t = typename add_lvalue_reference<_Tp>::type;


  template<typename _Tp>
    using add_rvalue_reference_t = typename add_rvalue_reference<_Tp>::type;







  template<typename _Unqualified, bool _IsConst, bool _IsVol>
    struct __cv_selector;

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, false>
    { using __type = _Unqualified; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, true>
    { using __type = volatile _Unqualified; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, false>
    { using __type = const _Unqualified; };

  template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, true>
    { using __type = const volatile _Unqualified; };

  template<typename _Qualified, typename _Unqualified,
    bool _IsConst = is_const<_Qualified>::value,
    bool _IsVol = is_volatile<_Qualified>::value>
    class __match_cv_qualifiers
    {
      using __match = __cv_selector<_Unqualified, _IsConst, _IsVol>;

    public:
      using __type = typename __match::__type;
    };


  template<typename _Tp>
    struct __make_unsigned
    { using __type = _Tp; };

  template<>
    struct __make_unsigned<char>
    { using __type = unsigned char; };

  template<>
    struct __make_unsigned<signed char>
    { using __type = unsigned char; };

  template<>
    struct __make_unsigned<short>
    { using __type = unsigned short; };

  template<>
    struct __make_unsigned<int>
    { using __type = unsigned int; };

  template<>
    struct __make_unsigned<long>
    { using __type = unsigned long; };

  template<>
    struct __make_unsigned<long long>
    { using __type = unsigned long long; };


  __extension__
  template<>
    struct __make_unsigned<__int128>
    { using __type = unsigned __int128; };
# 1902 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = __is_enum(_Tp)>
    class __make_unsigned_selector;

  template<typename _Tp>
    class __make_unsigned_selector<_Tp, true, false>
    {
      using __unsigned_type
 = typename __make_unsigned<__remove_cv_t<_Tp>>::__type;

    public:
      using __type
 = typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
    };

  class __make_unsigned_selector_base
  {
  protected:
    template<typename...> struct _List { };

    template<typename _Tp, typename... _Up>
      struct _List<_Tp, _Up...> : _List<_Up...>
      { static constexpr size_t __size = sizeof(_Tp); };

    template<size_t _Sz, typename _Tp, bool = (_Sz <= _Tp::__size)>
      struct __select;

    template<size_t _Sz, typename _Uint, typename... _UInts>
      struct __select<_Sz, _List<_Uint, _UInts...>, true>
      { using __type = _Uint; };

    template<size_t _Sz, typename _Uint, typename... _UInts>
      struct __select<_Sz, _List<_Uint, _UInts...>, false>
      : __select<_Sz, _List<_UInts...>>
      { };
  };


  template<typename _Tp>
    class __make_unsigned_selector<_Tp, false, true>
    : __make_unsigned_selector_base
    {

      using _UInts = _List<unsigned char, unsigned short, unsigned int,
      unsigned long, unsigned long long>;

      using __unsigned_type = typename __select<sizeof(_Tp), _UInts>::__type;

    public:
      using __type
 = typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
    };





  template<>
    struct __make_unsigned<wchar_t>
    {
      using __type
 = typename __make_unsigned_selector<wchar_t, false, true>::__type;
    };
# 1976 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<>
    struct __make_unsigned<char16_t>
    {
      using __type
 = typename __make_unsigned_selector<char16_t, false, true>::__type;
    };

  template<>
    struct __make_unsigned<char32_t>
    {
      using __type
 = typename __make_unsigned_selector<char32_t, false, true>::__type;
    };






  template<typename _Tp>
    struct make_unsigned
    { using type = typename __make_unsigned_selector<_Tp>::__type; };


  template<> struct make_unsigned<bool>;
  template<> struct make_unsigned<bool const>;
  template<> struct make_unsigned<bool volatile>;
  template<> struct make_unsigned<bool const volatile>;




  template<typename _Tp>
    struct __make_signed
    { using __type = _Tp; };

  template<>
    struct __make_signed<char>
    { using __type = signed char; };

  template<>
    struct __make_signed<unsigned char>
    { using __type = signed char; };

  template<>
    struct __make_signed<unsigned short>
    { using __type = signed short; };

  template<>
    struct __make_signed<unsigned int>
    { using __type = signed int; };

  template<>
    struct __make_signed<unsigned long>
    { using __type = signed long; };

  template<>
    struct __make_signed<unsigned long long>
    { using __type = signed long long; };


  __extension__
  template<>
    struct __make_signed<unsigned __int128>
    { using __type = __int128; };
# 2062 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp,
    bool _IsInt = is_integral<_Tp>::value,
    bool _IsEnum = __is_enum(_Tp)>
    class __make_signed_selector;

  template<typename _Tp>
    class __make_signed_selector<_Tp, true, false>
    {
      using __signed_type
 = typename __make_signed<__remove_cv_t<_Tp>>::__type;

    public:
      using __type
 = typename __match_cv_qualifiers<_Tp, __signed_type>::__type;
    };


  template<typename _Tp>
    class __make_signed_selector<_Tp, false, true>
    {
      using __unsigned_type = typename __make_unsigned_selector<_Tp>::__type;

    public:
      using __type = typename __make_signed_selector<__unsigned_type>::__type;
    };





  template<>
    struct __make_signed<wchar_t>
    {
      using __type
 = typename __make_signed_selector<wchar_t, false, true>::__type;
    };
# 2108 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<>
    struct __make_signed<char16_t>
    {
      using __type
 = typename __make_signed_selector<char16_t, false, true>::__type;
    };

  template<>
    struct __make_signed<char32_t>
    {
      using __type
 = typename __make_signed_selector<char32_t, false, true>::__type;
    };






  template<typename _Tp>
    struct make_signed
    { using type = typename __make_signed_selector<_Tp>::__type; };


  template<> struct make_signed<bool>;
  template<> struct make_signed<bool const>;
  template<> struct make_signed<bool volatile>;
  template<> struct make_signed<bool const volatile>;



  template<typename _Tp>
    using make_signed_t = typename make_signed<_Tp>::type;


  template<typename _Tp>
    using make_unsigned_t = typename make_unsigned<_Tp>::type;






  template<typename _Tp>
    struct remove_extent
    { using type = __remove_extent(_Tp); };
# 2170 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct remove_all_extents
    { using type = __remove_all_extents(_Tp); };
# 2189 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    using remove_extent_t = typename remove_extent<_Tp>::type;


  template<typename _Tp>
    using remove_all_extents_t = typename remove_all_extents<_Tp>::type;






  template<typename _Tp>
    struct remove_pointer
    { using type = __remove_pointer(_Tp); };
# 2221 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct add_pointer
    { using type = __add_pointer(_Tp); };
# 2249 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    using remove_pointer_t = typename remove_pointer<_Tp>::type;


  template<typename _Tp>
    using add_pointer_t = typename add_pointer<_Tp>::type;





  struct __attribute__((__aligned__)) __aligned_storage_max_align_t
  { };

  constexpr size_t
  __aligned_storage_default_alignment([[__maybe_unused__]] size_t __len)
  {
# 2280 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
    return alignof(__aligned_storage_max_align_t);

  }
# 2316 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<size_t _Len,
    size_t _Align = __aligned_storage_default_alignment(_Len)>
    struct
   
    aligned_storage
    {
      struct type
      {
 alignas(_Align) unsigned char __data[_Len];
      };
    };

  template <typename... _Types>
    struct __strictest_alignment
    {
      static const size_t _S_alignment = 0;
      static const size_t _S_size = 0;
    };

  template <typename _Tp, typename... _Types>
    struct __strictest_alignment<_Tp, _Types...>
    {
      static const size_t _S_alignment =
        alignof(_Tp) > __strictest_alignment<_Types...>::_S_alignment
 ? alignof(_Tp) : __strictest_alignment<_Types...>::_S_alignment;
      static const size_t _S_size =
        sizeof(_Tp) > __strictest_alignment<_Types...>::_S_size
 ? sizeof(_Tp) : __strictest_alignment<_Types...>::_S_size;
    };

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
# 2361 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template <size_t _Len, typename... _Types>
    struct
   
    aligned_union
    {
    private:
      static_assert(sizeof...(_Types) != 0, "At least one type is required");

      using __strictest = __strictest_alignment<_Types...>;
      static const size_t _S_len = _Len > __strictest::_S_size
 ? _Len : __strictest::_S_size;
    public:

      static const size_t alignment_value = __strictest::_S_alignment;

      using type = typename aligned_storage<_S_len, alignment_value>::type;
    };

  template <size_t _Len, typename... _Types>
    const size_t aligned_union<_Len, _Types...>::alignment_value;
#pragma GCC diagnostic pop




  template<typename _Tp>
    struct decay
    { using type = __decay(_Tp); };
# 2426 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct __strip_reference_wrapper
    {
      using __type = _Tp;
    };

  template<typename _Tp>
    struct __strip_reference_wrapper<reference_wrapper<_Tp> >
    {
      using __type = _Tp&;
    };


  template<typename _Tp>
    using __decay_t = typename decay<_Tp>::type;

  template<typename _Tp>
    using __decay_and_strip = __strip_reference_wrapper<__decay_t<_Tp>>;





  template<typename... _Cond>
    using _Require = __enable_if_t<__and_<_Cond...>::value>;


  template<typename _Tp>
    using __remove_cvref_t
     = typename remove_cv<typename remove_reference<_Tp>::type>::type;




  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct conditional
    { using type = _Iftrue; };


  template<typename _Iftrue, typename _Iffalse>
    struct conditional<false, _Iftrue, _Iffalse>
    { using type = _Iffalse; };


  template<typename... _Tp>
    struct common_type;
# 2482 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Tp>
    struct __success_type
    { using type = _Tp; };

  struct __failure_type
  { };

  struct __do_common_type_impl
  {
    template<typename _Tp, typename _Up>
      using __cond_t
 = decltype(true ? std::declval<_Tp>() : std::declval<_Up>());



    template<typename _Tp, typename _Up>
      static __success_type<__decay_t<__cond_t<_Tp, _Up>>>
      _S_test(int);
# 2509 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
    template<typename, typename>
      static __failure_type
      _S_test_2(...);

    template<typename _Tp, typename _Up>
      static decltype(_S_test_2<_Tp, _Up>(0))
      _S_test(...);
  };


  template<>
    struct common_type<>
    { };


  template<typename _Tp0>
    struct common_type<_Tp0>
    : public common_type<_Tp0, _Tp0>
    { };


  template<typename _Tp1, typename _Tp2,
    typename _Dp1 = __decay_t<_Tp1>, typename _Dp2 = __decay_t<_Tp2>>
    struct __common_type_impl
    {


      using type = common_type<_Dp1, _Dp2>;
    };

  template<typename _Tp1, typename _Tp2>
    struct __common_type_impl<_Tp1, _Tp2, _Tp1, _Tp2>
    : private __do_common_type_impl
    {


      using type = decltype(_S_test<_Tp1, _Tp2>(0));
    };


  template<typename _Tp1, typename _Tp2>
    struct common_type<_Tp1, _Tp2>
    : public __common_type_impl<_Tp1, _Tp2>::type
    { };

  template<typename...>
    struct __common_type_pack
    { };

  template<typename, typename, typename = void>
    struct __common_type_fold;


  template<typename _Tp1, typename _Tp2, typename... _Rp>
    struct common_type<_Tp1, _Tp2, _Rp...>
    : public __common_type_fold<common_type<_Tp1, _Tp2>,
    __common_type_pack<_Rp...>>
    { };




  template<typename _CTp, typename... _Rp>
    struct __common_type_fold<_CTp, __common_type_pack<_Rp...>,
         __void_t<typename _CTp::type>>
    : public common_type<typename _CTp::type, _Rp...>
    { };


  template<typename _CTp, typename _Rp>
    struct __common_type_fold<_CTp, _Rp, void>
    { };

  template<typename _Tp, bool = __is_enum(_Tp)>
    struct __underlying_type_impl
    {
      using type = __underlying_type(_Tp);
    };

  template<typename _Tp>
    struct __underlying_type_impl<_Tp, false>
    { };



  template<typename _Tp>
    struct underlying_type
    : public __underlying_type_impl<_Tp>
    { };


  template<typename _Tp>
    struct __declval_protector
    {
      static const bool __stop = false;
    };






  template<typename _Tp>
    auto declval() noexcept -> decltype(__declval<_Tp>(0))
    {
      static_assert(__declval_protector<_Tp>::__stop,
      "declval() must not be used!");
      return __declval<_Tp>(0);
    }


  template<typename _Signature>
    struct result_of;




  struct __invoke_memfun_ref { };
  struct __invoke_memfun_deref { };
  struct __invoke_memobj_ref { };
  struct __invoke_memobj_deref { };
  struct __invoke_other { };


  template<typename _Tp, typename _Tag>
    struct __result_of_success : __success_type<_Tp>
    { using __invoke_type = _Tag; };


  struct __result_of_memfun_ref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      (std::declval<_Tp1>().*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_ref> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_ref
    : private __result_of_memfun_ref_impl
    {
      using type = decltype(_S_test<_MemPtr, _Arg, _Args...>(0));
    };


  struct __result_of_memfun_deref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      ((*std::declval<_Tp1>()).*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_deref> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_deref
    : private __result_of_memfun_deref_impl
    {
      using type = decltype(_S_test<_MemPtr, _Arg, _Args...>(0));
    };


  struct __result_of_memobj_ref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      std::declval<_Tp1>().*std::declval<_Fp>()
      ), __invoke_memobj_ref> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_ref
    : private __result_of_memobj_ref_impl
    {
      using type = decltype(_S_test<_MemPtr, _Arg>(0));
    };


  struct __result_of_memobj_deref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      (*std::declval<_Tp1>()).*std::declval<_Fp>()
      ), __invoke_memobj_deref> _S_test(int);

    template<typename, typename>
      static __failure_type _S_test(...);
  };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_deref
    : private __result_of_memobj_deref_impl
    {
      using type = decltype(_S_test<_MemPtr, _Arg>(0));
    };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj;

  template<typename _Res, typename _Class, typename _Arg>
    struct __result_of_memobj<_Res _Class::*, _Arg>
    {
      using _Argval = __remove_cvref_t<_Arg>;
      using _MemPtr = _Res _Class::*;
      using type = typename __conditional_t<__or_<is_same<_Argval, _Class>,
        is_base_of<_Class, _Argval>>::value,
        __result_of_memobj_ref<_MemPtr, _Arg>,
        __result_of_memobj_deref<_MemPtr, _Arg>
      >::type;
    };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun;

  template<typename _Res, typename _Class, typename _Arg, typename... _Args>
    struct __result_of_memfun<_Res _Class::*, _Arg, _Args...>
    {
      using _Argval = typename remove_reference<_Arg>::type;
      using _MemPtr = _Res _Class::*;
      using type = typename __conditional_t<is_base_of<_Class, _Argval>::value,
        __result_of_memfun_ref<_MemPtr, _Arg, _Args...>,
        __result_of_memfun_deref<_MemPtr, _Arg, _Args...>
      >::type;
    };






  template<typename _Tp, typename _Up = __remove_cvref_t<_Tp>>
    struct __inv_unwrap
    {
      using type = _Tp;
    };

  template<typename _Tp, typename _Up>
    struct __inv_unwrap<_Tp, reference_wrapper<_Up>>
    {
      using type = _Up&;
    };

  template<bool, bool, typename _Functor, typename... _ArgTypes>
    struct __result_of_impl
    {
      using type = __failure_type;
    };

  template<typename _MemPtr, typename _Arg>
    struct __result_of_impl<true, false, _MemPtr, _Arg>
    : public __result_of_memobj<__decay_t<_MemPtr>,
    typename __inv_unwrap<_Arg>::type>
    { };

  template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_impl<false, true, _MemPtr, _Arg, _Args...>
    : public __result_of_memfun<__decay_t<_MemPtr>,
    typename __inv_unwrap<_Arg>::type, _Args...>
    { };


  struct __result_of_other_impl
  {
    template<typename _Fn, typename... _Args>
      static __result_of_success<decltype(
      std::declval<_Fn>()(std::declval<_Args>()...)
      ), __invoke_other> _S_test(int);

    template<typename...>
      static __failure_type _S_test(...);
  };

  template<typename _Functor, typename... _ArgTypes>
    struct __result_of_impl<false, false, _Functor, _ArgTypes...>
    : private __result_of_other_impl
    {
      using type = decltype(_S_test<_Functor, _ArgTypes...>(0));
    };


  template<typename _Functor, typename... _ArgTypes>
    struct __invoke_result
    : public __result_of_impl<
        is_member_object_pointer<
          typename remove_reference<_Functor>::type
        >::value,
        is_member_function_pointer<
          typename remove_reference<_Functor>::type
        >::value,
 _Functor, _ArgTypes...
      >::type
    { };


  template<typename _Fn, typename... _Args>
    using __invoke_result_t = typename __invoke_result<_Fn, _Args...>::type;


  template<typename _Functor, typename... _ArgTypes>
    struct result_of<_Functor(_ArgTypes...)>
    : public __invoke_result<_Functor, _ArgTypes...>
    { } __attribute__ ((__deprecated__ ("use '" "std::invoke_result" "' instead")));


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"

  template<size_t _Len,
    size_t _Align = __aligned_storage_default_alignment(_Len)>
    using aligned_storage_t = typename aligned_storage<_Len, _Align>::type;

  template <size_t _Len, typename... _Types>
    using aligned_union_t = typename aligned_union<_Len, _Types...>::type;
#pragma GCC diagnostic pop


  template<typename _Tp>
    using decay_t = typename decay<_Tp>::type;


  template<bool _Cond, typename _Tp = void>
    using enable_if_t = typename enable_if<_Cond, _Tp>::type;


  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    using conditional_t = typename conditional<_Cond, _Iftrue, _Iffalse>::type;


  template<typename... _Tp>
    using common_type_t = typename common_type<_Tp...>::type;


  template<typename _Tp>
    using underlying_type_t = typename underlying_type<_Tp>::type;


  template<typename _Tp>
    using result_of_t = typename result_of<_Tp>::type;




  template<typename...> using void_t = void;
# 2886 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Default, typename _AlwaysVoid,
    template<typename...> class _Op, typename... _Args>
    struct __detector
    {
      using type = _Default;
      using __is_detected = false_type;
    };


  template<typename _Default, template<typename...> class _Op,
     typename... _Args>
    struct __detector<_Default, __void_t<_Op<_Args...>>, _Op, _Args...>
    {
      using type = _Op<_Args...>;
      using __is_detected = true_type;
    };

  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or = __detector<_Default, void, _Op, _Args...>;



  template<typename _Default, template<typename...> class _Op,
    typename... _Args>
    using __detected_or_t
      = typename __detected_or<_Default, _Op, _Args...>::type;
# 2928 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template <typename _Tp>
    struct __is_swappable;

  template <typename _Tp>
    struct __is_nothrow_swappable;

  template<typename>
    struct __is_tuple_like_impl : false_type
    { };


  template<typename _Tp>
    struct __is_tuple_like
    : public __is_tuple_like_impl<__remove_cvref_t<_Tp>>::type
    { };


  template<typename _Tp>
   
    inline
    _Require<__not_<__is_tuple_like<_Tp>>,
      is_move_constructible<_Tp>,
      is_move_assignable<_Tp>>
    swap(_Tp&, _Tp&)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>,
             is_nothrow_move_assignable<_Tp>>::value);

  template<typename _Tp, size_t _Nm>
   
    inline
    __enable_if_t<__is_swappable<_Tp>::value>
    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value);


  namespace __swappable_details {
    using std::swap;

    struct __do_is_swappable_impl
    {
      template<typename _Tp, typename
               = decltype(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))>
        static true_type __test(int);

      template<typename>
        static false_type __test(...);
    };

    struct __do_is_nothrow_swappable_impl
    {
      template<typename _Tp>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))
        > __test(int);

      template<typename>
        static false_type __test(...);
    };

  }

  template<typename _Tp>
    struct __is_swappable_impl
    : public __swappable_details::__do_is_swappable_impl
    {
      using type = decltype(__test<_Tp>(0));
    };

  template<typename _Tp>
    struct __is_nothrow_swappable_impl
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      using type = decltype(__test<_Tp>(0));
    };

  template<typename _Tp>
    struct __is_swappable
    : public __is_swappable_impl<_Tp>::type
    { };

  template<typename _Tp>
    struct __is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    { };






  template<typename _Tp>
    struct is_swappable
    : public __is_swappable_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp>
    struct is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp>
    inline constexpr bool is_swappable_v =
      is_swappable<_Tp>::value;


  template<typename _Tp>
    inline constexpr bool is_nothrow_swappable_v =
      is_nothrow_swappable<_Tp>::value;



  namespace __swappable_with_details {
    using std::swap;

    struct __do_is_swappable_with_impl
    {
      template<typename _Tp, typename _Up, typename
               = decltype(swap(std::declval<_Tp>(), std::declval<_Up>())),
               typename
               = decltype(swap(std::declval<_Up>(), std::declval<_Tp>()))>
        static true_type __test(int);

      template<typename, typename>
        static false_type __test(...);
    };

    struct __do_is_nothrow_swappable_with_impl
    {
      template<typename _Tp, typename _Up>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp>(), std::declval<_Up>()))
          &&
          noexcept(swap(std::declval<_Up>(), std::declval<_Tp>()))
        > __test(int);

      template<typename, typename>
        static false_type __test(...);
    };

  }

  template<typename _Tp, typename _Up>
    struct __is_swappable_with_impl
    : public __swappable_with_details::__do_is_swappable_with_impl
    {
      using type = decltype(__test<_Tp, _Up>(0));
    };


  template<typename _Tp>
    struct __is_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_swappable_impl
    {
      using type = decltype(__test<_Tp&>(0));
    };

  template<typename _Tp, typename _Up>
    struct __is_nothrow_swappable_with_impl
    : public __swappable_with_details::__do_is_nothrow_swappable_with_impl
    {
      using type = decltype(__test<_Tp, _Up>(0));
    };


  template<typename _Tp>
    struct __is_nothrow_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      using type = decltype(__test<_Tp&>(0));
    };



  template<typename _Tp, typename _Up>
    struct is_swappable_with
    : public __is_swappable_with_impl<_Tp, _Up>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "first template argument must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Up>{}),
 "second template argument must be a complete class or an unbounded array");
    };


  template<typename _Tp, typename _Up>
    struct is_nothrow_swappable_with
    : public __is_nothrow_swappable_with_impl<_Tp, _Up>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "first template argument must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Up>{}),
 "second template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp, typename _Up>
    inline constexpr bool is_swappable_with_v =
      is_swappable_with<_Tp, _Up>::value;


  template<typename _Tp, typename _Up>
    inline constexpr bool is_nothrow_swappable_with_v =
      is_nothrow_swappable_with<_Tp, _Up>::value;
# 3150 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
  template<typename _Result, typename _Ret,
    bool = is_void<_Ret>::value, typename = void>
    struct __is_invocable_impl
    : false_type
    {
      using __nothrow_conv = false_type;
    };


  template<typename _Result, typename _Ret>
    struct __is_invocable_impl<_Result, _Ret,
                                true,
          __void_t<typename _Result::type>>
    : true_type
    {
      using __nothrow_conv = true_type;
    };

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"

  template<typename _Result, typename _Ret>
    struct __is_invocable_impl<_Result, _Ret,
                                false,
          __void_t<typename _Result::type>>
    {
    private:

      using _Res_t = typename _Result::type;



      static _Res_t _S_get() noexcept;


      template<typename _Tp>
 static void _S_conv(__type_identity_t<_Tp>) noexcept;


      template<typename _Tp,
        bool _Nothrow = noexcept(_S_conv<_Tp>(_S_get())),
        typename = decltype(_S_conv<_Tp>(_S_get())),

        bool _Dangle = __reference_converts_from_temporary(_Tp, _Res_t)



       >
 static __bool_constant<_Nothrow && !_Dangle>
 _S_test(int);

      template<typename _Tp, bool = false>
 static false_type
 _S_test(...);

    public:

      using type = decltype(_S_test<_Ret, true>(1));


      using __nothrow_conv = decltype(_S_test<_Ret>(1));
    };
#pragma GCC diagnostic pop

  template<typename _Fn, typename... _ArgTypes>
    struct __is_invocable
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
    { };

  template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept((std::declval<_Up>().*std::declval<_Fn>())(
     std::declval<_Args>()...));
    }

  template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_deref)
    {
      return noexcept(((*std::declval<_Tp>()).*std::declval<_Fn>())(
     std::declval<_Args>()...));
    }

  template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept(std::declval<_Up>().*std::declval<_Fn>());
    }

  template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_deref)
    {
      return noexcept((*std::declval<_Tp>()).*std::declval<_Fn>());
    }

  template<typename _Fn, typename... _Args>
    constexpr bool __call_is_nt(__invoke_other)
    {
      return noexcept(std::declval<_Fn>()(std::declval<_Args>()...));
    }

  template<typename _Result, typename _Fn, typename... _Args>
    struct __call_is_nothrow
    : __bool_constant<
 std::__call_is_nt<_Fn, _Args...>(typename _Result::__invoke_type{})
      >
    { };

  template<typename _Fn, typename... _Args>
    using __call_is_nothrow_
      = __call_is_nothrow<__invoke_result<_Fn, _Args...>, _Fn, _Args...>;


  template<typename _Fn, typename... _Args>
    struct __is_nothrow_invocable
    : __and_<__is_invocable<_Fn, _Args...>,
             __call_is_nothrow_<_Fn, _Args...>>::type
    { };

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
  struct __nonesuchbase {};
  struct __nonesuch : private __nonesuchbase {
    ~__nonesuch() = delete;
    __nonesuch(__nonesuch const&) = delete;
    void operator=(__nonesuch const&) = delete;
  };
#pragma GCC diagnostic pop




  template<typename _Functor, typename... _ArgTypes>
    struct invoke_result
    : public __invoke_result<_Functor, _ArgTypes...>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Functor>{}),
 "_Functor must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
    };


  template<typename _Fn, typename... _Args>
    using invoke_result_t = typename invoke_result<_Fn, _Args...>::type;


  template<typename _Fn, typename... _ArgTypes>
    struct is_invocable

    : public __bool_constant<__is_invocable(_Fn, _ArgTypes...)>



    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
    };


  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_invocable_r
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Ret>{}),
 "_Ret must be a complete class or an unbounded array");
    };


  template<typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable

    : public __bool_constant<__is_nothrow_invocable(_Fn, _ArgTypes...)>




    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
    };





  template<typename _Result, typename _Ret>
    using __is_nt_invocable_impl
      = typename __is_invocable_impl<_Result, _Ret>::__nothrow_conv;



  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable_r
    : __and_<__is_nt_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>,
             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
 "_Fn must be a complete class or an unbounded array");
      static_assert((std::__is_complete_or_unbounded(
 __type_identity<_ArgTypes>{}) && ...),
 "each argument type must be a complete class or an unbounded array");
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Ret>{}),
 "_Ret must be a complete class or an unbounded array");
    };
# 3386 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_void_v = is_void<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_null_pointer_v = is_null_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_integral_v = is_integral<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_floating_point_v = is_floating_point<_Tp>::value;


template <typename _Tp>
  inline constexpr bool is_array_v = __is_array(_Tp);
# 3408 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_pointer_v = __is_pointer(_Tp);
# 3423 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_lvalue_reference_v = false;
template <typename _Tp>
  inline constexpr bool is_lvalue_reference_v<_Tp&> = true;
template <typename _Tp>
  inline constexpr bool is_rvalue_reference_v = false;
template <typename _Tp>
  inline constexpr bool is_rvalue_reference_v<_Tp&&> = true;


template <typename _Tp>
  inline constexpr bool is_member_object_pointer_v =
    __is_member_object_pointer(_Tp);







template <typename _Tp>
  inline constexpr bool is_member_function_pointer_v =
    __is_member_function_pointer(_Tp);






template <typename _Tp>
  inline constexpr bool is_enum_v = __is_enum(_Tp);
template <typename _Tp>
  inline constexpr bool is_union_v = __is_union(_Tp);
template <typename _Tp>
  inline constexpr bool is_class_v = __is_class(_Tp);



template <typename _Tp>
  inline constexpr bool is_reference_v = __is_reference(_Tp);
# 3472 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_arithmetic_v = is_arithmetic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_fundamental_v = is_fundamental<_Tp>::value;


template <typename _Tp>
  inline constexpr bool is_object_v = __is_object(_Tp);





template <typename _Tp>
  inline constexpr bool is_scalar_v = is_scalar<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_compound_v = !is_fundamental_v<_Tp>;


template <typename _Tp>
  inline constexpr bool is_member_pointer_v = __is_member_pointer(_Tp);






template <typename _Tp>
  inline constexpr bool is_const_v = __is_const(_Tp);
# 3509 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_function_v = __is_function(_Tp);
# 3521 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_volatile_v = __is_volatile(_Tp);







template <typename _Tp>
 
  inline constexpr bool is_trivial_v = __is_trivial(_Tp);
template <typename _Tp>
  inline constexpr bool is_trivially_copyable_v = __is_trivially_copyable(_Tp);
template <typename _Tp>
  inline constexpr bool is_standard_layout_v = __is_standard_layout(_Tp);
template <typename _Tp>
 
  inline constexpr bool is_pod_v = __is_pod(_Tp);
template <typename _Tp>
  [[__deprecated__]]
  inline constexpr bool is_literal_type_v = __is_literal_type(_Tp);
template <typename _Tp>
  inline constexpr bool is_empty_v = __is_empty(_Tp);
template <typename _Tp>
  inline constexpr bool is_polymorphic_v = __is_polymorphic(_Tp);
template <typename _Tp>
  inline constexpr bool is_abstract_v = __is_abstract(_Tp);
template <typename _Tp>
  inline constexpr bool is_final_v = __is_final(_Tp);

template <typename _Tp>
  inline constexpr bool is_signed_v = is_signed<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_unsigned_v = is_unsigned<_Tp>::value;

template <typename _Tp, typename... _Args>
  inline constexpr bool is_constructible_v = __is_constructible(_Tp, _Args...);
template <typename _Tp>
  inline constexpr bool is_default_constructible_v = __is_constructible(_Tp);
template <typename _Tp>
  inline constexpr bool is_copy_constructible_v
    = __is_constructible(_Tp, __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_move_constructible_v
    = __is_constructible(_Tp, __add_rval_ref_t<_Tp>);

template <typename _Tp, typename _Up>
  inline constexpr bool is_assignable_v = __is_assignable(_Tp, _Up);
template <typename _Tp>
  inline constexpr bool is_copy_assignable_v
    = __is_assignable(__add_lval_ref_t<_Tp>, __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_move_assignable_v
    = __is_assignable(__add_lval_ref_t<_Tp>, __add_rval_ref_t<_Tp>);

template <typename _Tp>
  inline constexpr bool is_destructible_v = is_destructible<_Tp>::value;

template <typename _Tp, typename... _Args>
  inline constexpr bool is_trivially_constructible_v
    = __is_trivially_constructible(_Tp, _Args...);
template <typename _Tp>
  inline constexpr bool is_trivially_default_constructible_v
    = __is_trivially_constructible(_Tp);
template <typename _Tp>
  inline constexpr bool is_trivially_copy_constructible_v
    = __is_trivially_constructible(_Tp, __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_trivially_move_constructible_v
    = __is_trivially_constructible(_Tp, __add_rval_ref_t<_Tp>);

template <typename _Tp, typename _Up>
  inline constexpr bool is_trivially_assignable_v
    = __is_trivially_assignable(_Tp, _Up);
template <typename _Tp>
  inline constexpr bool is_trivially_copy_assignable_v
    = __is_trivially_assignable(__add_lval_ref_t<_Tp>,
    __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_trivially_move_assignable_v
    = __is_trivially_assignable(__add_lval_ref_t<_Tp>,
    __add_rval_ref_t<_Tp>);
# 3621 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
template <typename _Tp>
  inline constexpr bool is_trivially_destructible_v =
    is_trivially_destructible<_Tp>::value;


template <typename _Tp, typename... _Args>
  inline constexpr bool is_nothrow_constructible_v
    = __is_nothrow_constructible(_Tp, _Args...);
template <typename _Tp>
  inline constexpr bool is_nothrow_default_constructible_v
    = __is_nothrow_constructible(_Tp);
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_constructible_v
    = __is_nothrow_constructible(_Tp, __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_nothrow_move_constructible_v
    = __is_nothrow_constructible(_Tp, __add_rval_ref_t<_Tp>);

template <typename _Tp, typename _Up>
  inline constexpr bool is_nothrow_assignable_v
    = __is_nothrow_assignable(_Tp, _Up);
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_assignable_v
    = __is_nothrow_assignable(__add_lval_ref_t<_Tp>,
         __add_lval_ref_t<const _Tp>);
template <typename _Tp>
  inline constexpr bool is_nothrow_move_assignable_v
    = __is_nothrow_assignable(__add_lval_ref_t<_Tp>, __add_rval_ref_t<_Tp>);

template <typename _Tp>
  inline constexpr bool is_nothrow_destructible_v =
    is_nothrow_destructible<_Tp>::value;

template <typename _Tp>
  inline constexpr bool has_virtual_destructor_v
    = __has_virtual_destructor(_Tp);

template <typename _Tp>
  inline constexpr size_t alignment_of_v = alignment_of<_Tp>::value;



template <typename _Tp>
  inline constexpr size_t rank_v = __array_rank(_Tp);
# 3674 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3
template <typename _Tp, unsigned _Idx = 0>
  inline constexpr size_t extent_v = 0;
template <typename _Tp, size_t _Size>
  inline constexpr size_t extent_v<_Tp[_Size], 0> = _Size;
template <typename _Tp, unsigned _Idx, size_t _Size>
  inline constexpr size_t extent_v<_Tp[_Size], _Idx> = extent_v<_Tp, _Idx - 1>;
template <typename _Tp>
  inline constexpr size_t extent_v<_Tp[], 0> = 0;
template <typename _Tp, unsigned _Idx>
  inline constexpr size_t extent_v<_Tp[], _Idx> = extent_v<_Tp, _Idx - 1>;


template <typename _Tp, typename _Up>
  inline constexpr bool is_same_v = __is_same(_Tp, _Up);






template <typename _Base, typename _Derived>
  inline constexpr bool is_base_of_v = __is_base_of(_Base, _Derived);





template <typename _From, typename _To>
  inline constexpr bool is_convertible_v = __is_convertible(_From, _To);




template<typename _Fn, typename... _Args>
  inline constexpr bool is_invocable_v = is_invocable<_Fn, _Args...>::value;
template<typename _Fn, typename... _Args>
  inline constexpr bool is_nothrow_invocable_v
    = is_nothrow_invocable<_Fn, _Args...>::value;
template<typename _Ret, typename _Fn, typename... _Args>
  inline constexpr bool is_invocable_r_v
    = is_invocable_r<_Ret, _Fn, _Args...>::value;
template<typename _Ret, typename _Fn, typename... _Args>
  inline constexpr bool is_nothrow_invocable_r_v
    = is_nothrow_invocable_r<_Ret, _Fn, _Args...>::value;






  template<typename _Tp>
    struct has_unique_object_representations
    : bool_constant<__has_unique_object_representations(
      remove_cv_t<remove_all_extents_t<_Tp>>
      )>
    {
      static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
 "template argument must be a complete class or an unbounded array");
    };



  template<typename _Tp>
    inline constexpr bool has_unique_object_representations_v
      = has_unique_object_representations<_Tp>::value;






  template<typename _Tp>
    struct is_aggregate
    : bool_constant<__is_aggregate(remove_cv_t<_Tp>)>
    { };






  template<typename _Tp>
    inline constexpr bool is_aggregate_v = __is_aggregate(remove_cv_t<_Tp>);
# 4184 "/usr/aarch64-linux-gnu/include/c++/15/type_traits" 3

}
}
# 43 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 2 3


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wlong-long"
# 76 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 3
extern "C++" {

namespace std __attribute__ ((__visibility__ ("default")))
{


  struct __true_type { };
  struct __false_type { };

  template<bool>
    struct __truth_type
    { typedef __false_type __type; };

  template<>
    struct __truth_type<true>
    { typedef __true_type __type; };



  template<class _Sp, class _Tp>
    struct __traitor
    {
      enum { __value = bool(_Sp::__value) || bool(_Tp::__value) };
      typedef typename __truth_type<__value>::__type __type;
    };


  template<typename, typename>
    struct __are_same
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<typename _Tp>
    struct __are_same<_Tp, _Tp>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };




  template<typename _Tp>
    struct __is_integer
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };



  template<>
    struct __is_integer<bool>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<signed char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<>
    struct __is_integer<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 176 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 3
  template<>
    struct __is_integer<char16_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<char32_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<>
    struct __is_integer<short>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned short>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<int>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned int>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_integer<unsigned long long>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 264 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 3
__extension__ template<> struct __is_integer<__int128> { enum { __value = 1 }; typedef __true_type __type; }; __extension__ template<> struct __is_integer<unsigned __int128> { enum { __value = 1 }; typedef __true_type __type; };
# 281 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 3
  template<typename _Tp>
    struct __is_floating
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };


  template<>
    struct __is_floating<float>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_floating<double>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_floating<long double>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 358 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 3
  template<typename _Tp>
    struct __is_arithmetic
    : public __traitor<__is_integer<_Tp>, __is_floating<_Tp> >
    { };




  template<typename _Tp>
    struct __is_char
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<>
    struct __is_char<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<>
    struct __is_char<wchar_t>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  template<typename _Tp>
    struct __is_byte
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };

  template<>
    struct __is_byte<char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_byte<signed char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };

  template<>
    struct __is_byte<unsigned char>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };


  enum class byte : unsigned char;

  template<>
    struct __is_byte<byte>
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 438 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 3
  template<typename _Tp>
    struct __is_nonvolatile_trivially_copyable
    {
      enum { __value = __is_trivially_copyable(_Tp) };
    };




  template<typename _Tp>
    struct __is_nonvolatile_trivially_copyable<volatile _Tp>
    {
      enum { __value = 0 };
    };


  template<typename _OutputIter, typename _InputIter>
    struct __memcpyable
    {
      enum { __value = 0 };
    };


  template<typename _Tp>
    struct __memcpyable<_Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };


  template<typename _Tp>
    struct __memcpyable<_Tp*, const _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp> struct __memcpyable_integer;




  template<typename _Tp, typename _Up>
    struct __memcpyable<_Tp*, _Up*>
    {
      enum {
 __value = __memcpyable_integer<_Tp>::__width != 0
      && ((int)__memcpyable_integer<_Tp>::__width
     == (int)__memcpyable_integer<_Up>::__width)
      };
    };


  template<typename _Tp, typename _Up>
    struct __memcpyable<_Tp*, const _Up*>
    : __memcpyable<_Tp*, _Up*>
    { };

  template<typename _Tp>
    struct __memcpyable_integer
    {
      enum {
 __width = __is_integer<_Tp>::__value ? (sizeof(_Tp) * 8) : 0
      };
    };


  template<typename _Tp>
    struct __memcpyable_integer<volatile _Tp>
    { enum { __width = 0 }; };




  template<>
    struct __memcpyable_integer<bool>
    { enum { __width = 0 }; };
# 599 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 3
  template<typename _Iter1, typename _Iter2>
    struct __memcmpable
    {
      enum { __value = 0 };
    };


  template<typename _Tp>
    struct __memcmpable<_Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcmpable<const _Tp*, _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };

  template<typename _Tp>
    struct __memcmpable<_Tp*, const _Tp*>
    : __is_nonvolatile_trivially_copyable<_Tp>
    { };







  template<typename _Tp, bool _TreatAsBytes =



 __is_byte<_Tp>::__value

    >
    struct __is_memcmp_ordered
    {
      static const bool __value = _Tp(-1) > _Tp(1);
    };

  template<typename _Tp>
    struct __is_memcmp_ordered<_Tp, false>
    {
      static const bool __value = false;
    };


  template<typename _Tp, typename _Up, bool = sizeof(_Tp) == sizeof(_Up)>
    struct __is_memcmp_ordered_with
    {
      static const bool __value = __is_memcmp_ordered<_Tp>::__value
 && __is_memcmp_ordered<_Up>::__value;
    };

  template<typename _Tp, typename _Up>
    struct __is_memcmp_ordered_with<_Tp, _Up, false>
    {
      static const bool __value = false;
    };
# 668 "/usr/aarch64-linux-gnu/include/c++/15/bits/cpp_type_traits.h" 3
  template<>
    struct __is_memcmp_ordered_with<std::byte, std::byte, true>
    { static constexpr bool __value = true; };

  template<typename _Tp, bool _SameSize>
    struct __is_memcmp_ordered_with<_Tp, std::byte, _SameSize>
    { static constexpr bool __value = false; };

  template<typename _Up, bool _SameSize>
    struct __is_memcmp_ordered_with<std::byte, _Up, _SameSize>
    { static constexpr bool __value = false; };



  template<typename _ValT, typename _Tp>
    constexpr bool __can_use_memchr_for_find

      = __is_byte<_ValT>::__value

   && (is_same_v<_Tp, _ValT> || is_integral_v<_Tp>);





  template<typename _Tp>
    struct __is_move_iterator
    {
      enum { __value = 0 };
      typedef __false_type __type;
    };



  template<typename _Iterator>
   
    inline _Iterator
    __miter_base(_Iterator __it)
    { return __it; }


}
}

#pragma GCC diagnostic pop
# 50 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/ext/type_traits.h" 1 3
# 39 "/usr/aarch64-linux-gnu/include/c++/15/ext/type_traits.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wlong-long"

extern "C++" {

namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{



  template<bool, typename>
    struct __enable_if
    { };

  template<typename _Tp>
    struct __enable_if<true, _Tp>
    { typedef _Tp __type; };



  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct __conditional_type
    { typedef _Iftrue __type; };

  template<typename _Iftrue, typename _Iffalse>
    struct __conditional_type<false, _Iftrue, _Iffalse>
    { typedef _Iffalse __type; };



  template<typename _Tp>
    struct __add_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;

    public:
      typedef typename __if_type::__type __type;
    };

  template<>
    struct __add_unsigned<char>
    { typedef unsigned char __type; };

  template<>
    struct __add_unsigned<signed char>
    { typedef unsigned char __type; };

  template<>
    struct __add_unsigned<short>
    { typedef unsigned short __type; };

  template<>
    struct __add_unsigned<int>
    { typedef unsigned int __type; };

  template<>
    struct __add_unsigned<long>
    { typedef unsigned long __type; };

  template<>
    struct __add_unsigned<long long>
    { typedef unsigned long long __type; };


  template<>
    struct __add_unsigned<bool>;

  template<>
    struct __add_unsigned<wchar_t>;



  template<typename _Tp>
    struct __remove_unsigned
    {
    private:
      typedef __enable_if<std::__is_integer<_Tp>::__value, _Tp> __if_type;

    public:
      typedef typename __if_type::__type __type;
    };

  template<>
    struct __remove_unsigned<char>
    { typedef signed char __type; };

  template<>
    struct __remove_unsigned<unsigned char>
    { typedef signed char __type; };

  template<>
    struct __remove_unsigned<unsigned short>
    { typedef short __type; };

  template<>
    struct __remove_unsigned<unsigned int>
    { typedef int __type; };

  template<>
    struct __remove_unsigned<unsigned long>
    { typedef long __type; };

  template<>
    struct __remove_unsigned<unsigned long long>
    { typedef long long __type; };


  template<>
    struct __remove_unsigned<bool>;

  template<>
    struct __remove_unsigned<wchar_t>;



  template<typename _Type>
    constexpr
    inline bool
    __is_null_pointer(_Type* __ptr)
    { return __ptr == 0; }

  template<typename _Type>
    constexpr
    inline bool
    __is_null_pointer(_Type)
    { return false; }


  constexpr bool
  __is_null_pointer(std::nullptr_t)
  { return true; }




  template<typename _Tp, bool = std::__is_integer<_Tp>::__value>
    struct __promote
    { typedef double __type; };




  template<typename _Tp>
    struct __promote<_Tp, false>
    { };

  template<>
    struct __promote<long double>
    { typedef long double __type; };

  template<>
    struct __promote<double>
    { typedef double __type; };

  template<>
    struct __promote<float>
    { typedef float __type; };
# 230 "/usr/aarch64-linux-gnu/include/c++/15/ext/type_traits.h" 3
  template<typename... _Tp>
    using __promoted_t = decltype((typename __promote<_Tp>::__type(0) + ...));



  template<typename _Tp, typename _Up>
    using __promote_2 = __promote<__promoted_t<_Tp, _Up>>;

  template<typename _Tp, typename _Up, typename _Vp>
    using __promote_3 = __promote<__promoted_t<_Tp, _Up, _Vp>>;

  template<typename _Tp, typename _Up, typename _Vp, typename _Wp>
    using __promote_4 = __promote<__promoted_t<_Tp, _Up, _Vp, _Wp>>;
# 274 "/usr/aarch64-linux-gnu/include/c++/15/ext/type_traits.h" 3

}
}

#pragma GCC diagnostic pop
# 51 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 2 3

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpedantic"

# 1 "/usr/aarch64-linux-gnu/include/math.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/libc-header-start.h" 1 3
# 28 "/usr/aarch64-linux-gnu/include/math.h" 2 3






extern "C" {





# 1 "/usr/aarch64-linux-gnu/include/bits/math-vector.h" 1 3
# 26 "/usr/aarch64-linux-gnu/include/bits/math-vector.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/libm-simd-decl-stubs.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/bits/math-vector.h" 2 3
# 172 "/usr/aarch64-linux-gnu/include/bits/math-vector.h" 3
typedef __Float32x4_t __f32x4_t;
typedef __Float64x2_t __f64x2_t;
# 182 "/usr/aarch64-linux-gnu/include/bits/math-vector.h" 3
typedef __SVFloat32_t __sv_f32_t;
typedef __SVFloat64_t __sv_f64_t;
typedef __SVBool_t __sv_bool_t;
# 194 "/usr/aarch64-linux-gnu/include/bits/math-vector.h" 3
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4vv_atan2f (__f32x4_t, __f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4vv_atan2pif (__f32x4_t, __f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_acosf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_acoshf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_acospif (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_asinf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_asinhf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_asinpif (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_atanf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_atanhf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_atanpif (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_cbrtf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_cosf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_coshf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_cospif (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_erff (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_erfcf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_expf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_exp10f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_exp2f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_expm1f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4vv_hypotf (__f32x4_t, __f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_logf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_log10f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_log1pf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_log2f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_logp1f (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4vv_powf (__f32x4_t, __f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_sinf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_sinhf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_sinpif (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_tanf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_tanhf (__f32x4_t);
__attribute__ ((__aarch64_vector_pcs__)) __f32x4_t _ZGVnN4v_tanpif (__f32x4_t);

__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2vv_atan2 (__f64x2_t, __f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2vv_atan2pi (__f64x2_t, __f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_acos (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_acosh (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_acospi (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_asin (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_asinh (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_asinpi (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_atan (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_atanh (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_atanpi (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_cbrt (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_cos (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_cosh (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_cospi (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_erf (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_erfc (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_exp (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_exp10 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_exp2 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_expm1 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2vv_hypot (__f64x2_t, __f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_log (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_log10 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_log1p (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_log2 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_logp1 (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2vv_pow (__f64x2_t, __f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_sin (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_sinh (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_sinpi (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_tan (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_tanh (__f64x2_t);
__attribute__ ((__aarch64_vector_pcs__)) __f64x2_t _ZGVnN2v_tanpi (__f64x2_t);






__sv_f32_t _ZGVsMxvv_atan2f (__sv_f32_t, __sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxvv_atan2pif (__sv_f32_t, __sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_acosf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_acoshf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_acospif (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_asinf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_asinhf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_asinpif (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_atanf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_atanhf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_atanpif (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_cbrtf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_cosf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_coshf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_cospif (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_erff (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_erfcf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_expf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_exp10f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_exp2f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_expm1f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxvv_hypotf (__sv_f32_t, __sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_logf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_log10f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_log1pf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_log2f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_logp1f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxvv_powf (__sv_f32_t, __sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_sinf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_sinhf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_sinpif (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_tanf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_tanhf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_tanpif (__sv_f32_t, __sv_bool_t);

__sv_f64_t _ZGVsMxvv_atan2 (__sv_f64_t, __sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxvv_atan2pi (__sv_f64_t, __sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_acos (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_acosh (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_acospi (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_asin (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_asinh (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_asinpi (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_atan (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_atanh (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_atanpi (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_cbrt (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_cos (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_cosh (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_cospi (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_erf (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_erfc (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_exp (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_exp10 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_exp2 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_expm1 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxvv_hypot (__sv_f64_t, __sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log10 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log1p (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log2 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_logp1 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxvv_pow (__sv_f64_t, __sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_sin (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_sinh (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_sinpi (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_tan (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_tanh (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_tanpi (__sv_f64_t, __sv_bool_t);
# 41 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 156 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/flt-eval-method.h" 1 3
# 157 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 167 "/usr/aarch64-linux-gnu/include/math.h" 3
typedef float float_t;
typedef double double_t;
# 208 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/fp-logb.h" 1 3
# 209 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 251 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/fp-fast.h" 1 3
# 252 "/usr/aarch64-linux-gnu/include/math.h" 2 3



enum
  {
    FP_INT_UPWARD =

      0,
    FP_INT_DOWNWARD =

      1,
    FP_INT_TOWARDZERO =

      2,
    FP_INT_TONEARESTFROMZERO =

      3,
    FP_INT_TONEAREST =

      4,
  };


# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-macros.h" 1 3
# 276 "/usr/aarch64-linux-gnu/include/math.h" 2 3





# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-helper-functions.h" 1 3
# 20 "/usr/aarch64-linux-gnu/include/bits/mathcalls-helper-functions.h" 3
extern int __fpclassify (double __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbit (double __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinf (double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finite (double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnan (double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsig (double __x, double __y) noexcept (true);


extern int __issignaling (double __value) noexcept (true)
     __attribute__ ((__const__));
# 282 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 1 3
# 53 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
 extern double acos (double __x) noexcept (true); extern double __acos (double __x) noexcept (true);

 extern double asin (double __x) noexcept (true); extern double __asin (double __x) noexcept (true);

 extern double atan (double __x) noexcept (true); extern double __atan (double __x) noexcept (true);

 extern double atan2 (double __y, double __x) noexcept (true); extern double __atan2 (double __y, double __x) noexcept (true);


 extern double cos (double __x) noexcept (true); extern double __cos (double __x) noexcept (true);

 extern double sin (double __x) noexcept (true); extern double __sin (double __x) noexcept (true);

 extern double tan (double __x) noexcept (true); extern double __tan (double __x) noexcept (true);



extern double acospi (double __x) noexcept (true); extern double __acospi (double __x) noexcept (true);
 extern double acospi (double __x) noexcept (true); extern double __acospi (double __x) noexcept (true);

extern double asinpi (double __x) noexcept (true); extern double __asinpi (double __x) noexcept (true);
 extern double asinpi (double __x) noexcept (true); extern double __asinpi (double __x) noexcept (true);

extern double atanpi (double __x) noexcept (true); extern double __atanpi (double __x) noexcept (true);
 extern double atanpi (double __x) noexcept (true); extern double __atanpi (double __x) noexcept (true);

extern double atan2pi (double __y, double __x) noexcept (true); extern double __atan2pi (double __y, double __x) noexcept (true);
 extern double atan2pi (double __y, double __x) noexcept (true); extern double __atan2pi (double __y, double __x) noexcept (true);


 extern double cospi (double __x) noexcept (true); extern double __cospi (double __x) noexcept (true);

 extern double sinpi (double __x) noexcept (true); extern double __sinpi (double __x) noexcept (true);

 extern double tanpi (double __x) noexcept (true); extern double __tanpi (double __x) noexcept (true);





 extern double cosh (double __x) noexcept (true); extern double __cosh (double __x) noexcept (true);

 extern double sinh (double __x) noexcept (true); extern double __sinh (double __x) noexcept (true);

 extern double tanh (double __x) noexcept (true); extern double __tanh (double __x) noexcept (true);



 extern void sincos (double __x, double *__sinx, double *__cosx) noexcept (true); extern void __sincos (double __x, double *__sinx, double *__cosx) noexcept (true)
                                                        ;




 extern double acosh (double __x) noexcept (true); extern double __acosh (double __x) noexcept (true);

 extern double asinh (double __x) noexcept (true); extern double __asinh (double __x) noexcept (true);

 extern double atanh (double __x) noexcept (true); extern double __atanh (double __x) noexcept (true);





 extern double exp (double __x) noexcept (true); extern double __exp (double __x) noexcept (true);


extern double frexp (double __x, int *__exponent) noexcept (true); extern double __frexp (double __x, int *__exponent) noexcept (true);


extern double ldexp (double __x, int __exponent) noexcept (true); extern double __ldexp (double __x, int __exponent) noexcept (true);


 extern double log (double __x) noexcept (true); extern double __log (double __x) noexcept (true);


 extern double log10 (double __x) noexcept (true); extern double __log10 (double __x) noexcept (true);


extern double modf (double __x, double *__iptr) noexcept (true); extern double __modf (double __x, double *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern double exp10 (double __x) noexcept (true); extern double __exp10 (double __x) noexcept (true);


extern double exp2m1 (double __x) noexcept (true); extern double __exp2m1 (double __x) noexcept (true);


extern double exp10m1 (double __x) noexcept (true); extern double __exp10m1 (double __x) noexcept (true);


extern double log2p1 (double __x) noexcept (true); extern double __log2p1 (double __x) noexcept (true);


extern double log10p1 (double __x) noexcept (true); extern double __log10p1 (double __x) noexcept (true);


 extern double logp1 (double __x) noexcept (true); extern double __logp1 (double __x) noexcept (true);




 extern double expm1 (double __x) noexcept (true); extern double __expm1 (double __x) noexcept (true);


 extern double log1p (double __x) noexcept (true); extern double __log1p (double __x) noexcept (true);


extern double logb (double __x) noexcept (true); extern double __logb (double __x) noexcept (true);




 extern double exp2 (double __x) noexcept (true); extern double __exp2 (double __x) noexcept (true);


 extern double log2 (double __x) noexcept (true); extern double __log2 (double __x) noexcept (true);






 extern double pow (double __x, double __y) noexcept (true); extern double __pow (double __x, double __y) noexcept (true);


extern double sqrt (double __x) noexcept (true); extern double __sqrt (double __x) noexcept (true);



 extern double hypot (double __x, double __y) noexcept (true); extern double __hypot (double __x, double __y) noexcept (true);




 extern double cbrt (double __x) noexcept (true); extern double __cbrt (double __x) noexcept (true);




extern double compoundn (double __x, long long int __y) noexcept (true); extern double __compoundn (double __x, long long int __y) noexcept (true);


extern double pown (double __x, long long int __y) noexcept (true); extern double __pown (double __x, long long int __y) noexcept (true);


extern double powr (double __x, double __y) noexcept (true); extern double __powr (double __x, double __y) noexcept (true);


extern double rootn (double __x, long long int __y) noexcept (true); extern double __rootn (double __x, long long int __y) noexcept (true);


extern double rsqrt (double __x) noexcept (true); extern double __rsqrt (double __x) noexcept (true);






extern double ceil (double __x) noexcept (true) __attribute__ ((__const__));


extern double fabs (double __x) noexcept (true) __attribute__ ((__const__));


extern double floor (double __x) noexcept (true) __attribute__ ((__const__));


extern double fmod (double __x, double __y) noexcept (true); extern double __fmod (double __x, double __y) noexcept (true);
# 237 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern int finite (double __value) noexcept (true)
  __attribute__ ((__const__));


extern double drem (double __x, double __y) noexcept (true); extern double __drem (double __x, double __y) noexcept (true);



extern double significand (double __x) noexcept (true); extern double __significand (double __x) noexcept (true);






extern double copysign (double __x, double __y) noexcept (true) __attribute__ ((__const__));




extern double nan (const char *__tagb) noexcept (true); extern double __nan (const char *__tagb) noexcept (true);
# 274 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern double j0 (double) noexcept (true); extern double __j0 (double) noexcept (true);
extern double j1 (double) noexcept (true); extern double __j1 (double) noexcept (true);
extern double jn (int, double) noexcept (true); extern double __jn (int, double) noexcept (true);
extern double y0 (double) noexcept (true); extern double __y0 (double) noexcept (true);
extern double y1 (double) noexcept (true); extern double __y1 (double) noexcept (true);
extern double yn (int, double) noexcept (true); extern double __yn (int, double) noexcept (true);





 extern double erf (double) noexcept (true); extern double __erf (double) noexcept (true);
 extern double erfc (double) noexcept (true); extern double __erfc (double) noexcept (true);
extern double lgamma (double) noexcept (true); extern double __lgamma (double) noexcept (true);




extern double tgamma (double) noexcept (true); extern double __tgamma (double) noexcept (true);





extern double gamma (double) noexcept (true); extern double __gamma (double) noexcept (true);







extern double lgamma_r (double, int *__signgamp) noexcept (true); extern double __lgamma_r (double, int *__signgamp) noexcept (true);






extern double rint (double __x) noexcept (true); extern double __rint (double __x) noexcept (true);


extern double nextafter (double __x, double __y) noexcept (true); extern double __nextafter (double __x, double __y) noexcept (true);

extern double nexttoward (double __x, long double __y) noexcept (true); extern double __nexttoward (double __x, long double __y) noexcept (true);




extern double nextdown (double __x) noexcept (true); extern double __nextdown (double __x) noexcept (true);

extern double nextup (double __x) noexcept (true); extern double __nextup (double __x) noexcept (true);



extern double remainder (double __x, double __y) noexcept (true); extern double __remainder (double __x, double __y) noexcept (true);



extern double scalbn (double __x, int __n) noexcept (true); extern double __scalbn (double __x, int __n) noexcept (true);



extern int ilogb (double __x) noexcept (true); extern int __ilogb (double __x) noexcept (true);




extern long int llogb (double __x) noexcept (true); extern long int __llogb (double __x) noexcept (true);




extern double scalbln (double __x, long int __n) noexcept (true); extern double __scalbln (double __x, long int __n) noexcept (true);



extern double nearbyint (double __x) noexcept (true); extern double __nearbyint (double __x) noexcept (true);



extern double round (double __x) noexcept (true) __attribute__ ((__const__));



extern double trunc (double __x) noexcept (true) __attribute__ ((__const__));




extern double remquo (double __x, double __y, int *__quo) noexcept (true); extern double __remquo (double __x, double __y, int *__quo) noexcept (true);






extern long int lrint (double __x) noexcept (true); extern long int __lrint (double __x) noexcept (true);
__extension__
extern long long int llrint (double __x) noexcept (true); extern long long int __llrint (double __x) noexcept (true);



extern long int lround (double __x) noexcept (true); extern long int __lround (double __x) noexcept (true);
__extension__
extern long long int llround (double __x) noexcept (true); extern long long int __llround (double __x) noexcept (true);



extern double fdim (double __x, double __y) noexcept (true); extern double __fdim (double __x, double __y) noexcept (true);



extern double fmax (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmin (double __x, double __y) noexcept (true) __attribute__ ((__const__));



extern double fma (double __x, double __y, double __z) noexcept (true); extern double __fma (double __x, double __y, double __z) noexcept (true);




extern double roundeven (double __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfp (double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfp (double __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfp (double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfp (double __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpx (double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpx (double __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpx (double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpx (double __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalize (double *__cx, const double *__x) noexcept (true);






extern double fmaxmag (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminmag (double __x, double __y) noexcept (true) __attribute__ ((__const__));




extern double fmaximum (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmaximum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmaximum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum_mag (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fmaximum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));


extern double fminimum_mag_num (double __x, double __y) noexcept (true) __attribute__ ((__const__));




extern int totalorder (const double *__x, const double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermag (const double *__x, const double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern double getpayload (const double *__x) noexcept (true); extern double __getpayload (const double *__x) noexcept (true);


extern int setpayload (double *__x, double __payload) noexcept (true);


extern int setpayloadsig (double *__x, double __payload) noexcept (true);







extern double scalb (double __x, double __n) noexcept (true); extern double __scalb (double __x, double __n) noexcept (true);
# 283 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 298 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-helper-functions.h" 1 3
# 20 "/usr/aarch64-linux-gnu/include/bits/mathcalls-helper-functions.h" 3
extern int __fpclassifyf (float __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbitf (float __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinff (float __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finitef (float __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnanf (float __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsigf (float __x, float __y) noexcept (true);


extern int __issignalingf (float __value) noexcept (true)
     __attribute__ ((__const__));
# 299 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 1 3
# 53 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
 extern float acosf (float __x) noexcept (true); extern float __acosf (float __x) noexcept (true);

 extern float asinf (float __x) noexcept (true); extern float __asinf (float __x) noexcept (true);

 extern float atanf (float __x) noexcept (true); extern float __atanf (float __x) noexcept (true);

 extern float atan2f (float __y, float __x) noexcept (true); extern float __atan2f (float __y, float __x) noexcept (true);


 extern float cosf (float __x) noexcept (true); extern float __cosf (float __x) noexcept (true);

 extern float sinf (float __x) noexcept (true); extern float __sinf (float __x) noexcept (true);

 extern float tanf (float __x) noexcept (true); extern float __tanf (float __x) noexcept (true);



extern float acospif (float __x) noexcept (true); extern float __acospif (float __x) noexcept (true);
 extern float acospif (float __x) noexcept (true); extern float __acospif (float __x) noexcept (true);

extern float asinpif (float __x) noexcept (true); extern float __asinpif (float __x) noexcept (true);
 extern float asinpif (float __x) noexcept (true); extern float __asinpif (float __x) noexcept (true);

extern float atanpif (float __x) noexcept (true); extern float __atanpif (float __x) noexcept (true);
 extern float atanpif (float __x) noexcept (true); extern float __atanpif (float __x) noexcept (true);

extern float atan2pif (float __y, float __x) noexcept (true); extern float __atan2pif (float __y, float __x) noexcept (true);
 extern float atan2pif (float __y, float __x) noexcept (true); extern float __atan2pif (float __y, float __x) noexcept (true);


 extern float cospif (float __x) noexcept (true); extern float __cospif (float __x) noexcept (true);

 extern float sinpif (float __x) noexcept (true); extern float __sinpif (float __x) noexcept (true);

 extern float tanpif (float __x) noexcept (true); extern float __tanpif (float __x) noexcept (true);





 extern float coshf (float __x) noexcept (true); extern float __coshf (float __x) noexcept (true);

 extern float sinhf (float __x) noexcept (true); extern float __sinhf (float __x) noexcept (true);

 extern float tanhf (float __x) noexcept (true); extern float __tanhf (float __x) noexcept (true);



 extern void sincosf (float __x, float *__sinx, float *__cosx) noexcept (true); extern void __sincosf (float __x, float *__sinx, float *__cosx) noexcept (true)
                                                        ;




 extern float acoshf (float __x) noexcept (true); extern float __acoshf (float __x) noexcept (true);

 extern float asinhf (float __x) noexcept (true); extern float __asinhf (float __x) noexcept (true);

 extern float atanhf (float __x) noexcept (true); extern float __atanhf (float __x) noexcept (true);





 extern float expf (float __x) noexcept (true); extern float __expf (float __x) noexcept (true);


extern float frexpf (float __x, int *__exponent) noexcept (true); extern float __frexpf (float __x, int *__exponent) noexcept (true);


extern float ldexpf (float __x, int __exponent) noexcept (true); extern float __ldexpf (float __x, int __exponent) noexcept (true);


 extern float logf (float __x) noexcept (true); extern float __logf (float __x) noexcept (true);


 extern float log10f (float __x) noexcept (true); extern float __log10f (float __x) noexcept (true);


extern float modff (float __x, float *__iptr) noexcept (true); extern float __modff (float __x, float *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern float exp10f (float __x) noexcept (true); extern float __exp10f (float __x) noexcept (true);


extern float exp2m1f (float __x) noexcept (true); extern float __exp2m1f (float __x) noexcept (true);


extern float exp10m1f (float __x) noexcept (true); extern float __exp10m1f (float __x) noexcept (true);


extern float log2p1f (float __x) noexcept (true); extern float __log2p1f (float __x) noexcept (true);


extern float log10p1f (float __x) noexcept (true); extern float __log10p1f (float __x) noexcept (true);


 extern float logp1f (float __x) noexcept (true); extern float __logp1f (float __x) noexcept (true);




 extern float expm1f (float __x) noexcept (true); extern float __expm1f (float __x) noexcept (true);


 extern float log1pf (float __x) noexcept (true); extern float __log1pf (float __x) noexcept (true);


extern float logbf (float __x) noexcept (true); extern float __logbf (float __x) noexcept (true);




 extern float exp2f (float __x) noexcept (true); extern float __exp2f (float __x) noexcept (true);


 extern float log2f (float __x) noexcept (true); extern float __log2f (float __x) noexcept (true);






 extern float powf (float __x, float __y) noexcept (true); extern float __powf (float __x, float __y) noexcept (true);


extern float sqrtf (float __x) noexcept (true); extern float __sqrtf (float __x) noexcept (true);



 extern float hypotf (float __x, float __y) noexcept (true); extern float __hypotf (float __x, float __y) noexcept (true);




 extern float cbrtf (float __x) noexcept (true); extern float __cbrtf (float __x) noexcept (true);




extern float compoundnf (float __x, long long int __y) noexcept (true); extern float __compoundnf (float __x, long long int __y) noexcept (true);


extern float pownf (float __x, long long int __y) noexcept (true); extern float __pownf (float __x, long long int __y) noexcept (true);


extern float powrf (float __x, float __y) noexcept (true); extern float __powrf (float __x, float __y) noexcept (true);


extern float rootnf (float __x, long long int __y) noexcept (true); extern float __rootnf (float __x, long long int __y) noexcept (true);


extern float rsqrtf (float __x) noexcept (true); extern float __rsqrtf (float __x) noexcept (true);






extern float ceilf (float __x) noexcept (true) __attribute__ ((__const__));


extern float fabsf (float __x) noexcept (true) __attribute__ ((__const__));


extern float floorf (float __x) noexcept (true) __attribute__ ((__const__));


extern float fmodf (float __x, float __y) noexcept (true); extern float __fmodf (float __x, float __y) noexcept (true);
# 231 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern int isinff (float __value) noexcept (true)
  __attribute__ ((__const__));




extern int finitef (float __value) noexcept (true)
  __attribute__ ((__const__));


extern float dremf (float __x, float __y) noexcept (true); extern float __dremf (float __x, float __y) noexcept (true);



extern float significandf (float __x) noexcept (true); extern float __significandf (float __x) noexcept (true);






extern float copysignf (float __x, float __y) noexcept (true) __attribute__ ((__const__));




extern float nanf (const char *__tagb) noexcept (true); extern float __nanf (const char *__tagb) noexcept (true);
# 267 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern int isnanf (float __value) noexcept (true)
  __attribute__ ((__const__));





extern float j0f (float) noexcept (true); extern float __j0f (float) noexcept (true);
extern float j1f (float) noexcept (true); extern float __j1f (float) noexcept (true);
extern float jnf (int, float) noexcept (true); extern float __jnf (int, float) noexcept (true);
extern float y0f (float) noexcept (true); extern float __y0f (float) noexcept (true);
extern float y1f (float) noexcept (true); extern float __y1f (float) noexcept (true);
extern float ynf (int, float) noexcept (true); extern float __ynf (int, float) noexcept (true);





 extern float erff (float) noexcept (true); extern float __erff (float) noexcept (true);
 extern float erfcf (float) noexcept (true); extern float __erfcf (float) noexcept (true);
extern float lgammaf (float) noexcept (true); extern float __lgammaf (float) noexcept (true);




extern float tgammaf (float) noexcept (true); extern float __tgammaf (float) noexcept (true);





extern float gammaf (float) noexcept (true); extern float __gammaf (float) noexcept (true);







extern float lgammaf_r (float, int *__signgamp) noexcept (true); extern float __lgammaf_r (float, int *__signgamp) noexcept (true);






extern float rintf (float __x) noexcept (true); extern float __rintf (float __x) noexcept (true);


extern float nextafterf (float __x, float __y) noexcept (true); extern float __nextafterf (float __x, float __y) noexcept (true);

extern float nexttowardf (float __x, long double __y) noexcept (true); extern float __nexttowardf (float __x, long double __y) noexcept (true);




extern float nextdownf (float __x) noexcept (true); extern float __nextdownf (float __x) noexcept (true);

extern float nextupf (float __x) noexcept (true); extern float __nextupf (float __x) noexcept (true);



extern float remainderf (float __x, float __y) noexcept (true); extern float __remainderf (float __x, float __y) noexcept (true);



extern float scalbnf (float __x, int __n) noexcept (true); extern float __scalbnf (float __x, int __n) noexcept (true);



extern int ilogbf (float __x) noexcept (true); extern int __ilogbf (float __x) noexcept (true);




extern long int llogbf (float __x) noexcept (true); extern long int __llogbf (float __x) noexcept (true);




extern float scalblnf (float __x, long int __n) noexcept (true); extern float __scalblnf (float __x, long int __n) noexcept (true);



extern float nearbyintf (float __x) noexcept (true); extern float __nearbyintf (float __x) noexcept (true);



extern float roundf (float __x) noexcept (true) __attribute__ ((__const__));



extern float truncf (float __x) noexcept (true) __attribute__ ((__const__));




extern float remquof (float __x, float __y, int *__quo) noexcept (true); extern float __remquof (float __x, float __y, int *__quo) noexcept (true);






extern long int lrintf (float __x) noexcept (true); extern long int __lrintf (float __x) noexcept (true);
__extension__
extern long long int llrintf (float __x) noexcept (true); extern long long int __llrintf (float __x) noexcept (true);



extern long int lroundf (float __x) noexcept (true); extern long int __lroundf (float __x) noexcept (true);
__extension__
extern long long int llroundf (float __x) noexcept (true); extern long long int __llroundf (float __x) noexcept (true);



extern float fdimf (float __x, float __y) noexcept (true); extern float __fdimf (float __x, float __y) noexcept (true);



extern float fmaxf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminf (float __x, float __y) noexcept (true) __attribute__ ((__const__));



extern float fmaf (float __x, float __y, float __z) noexcept (true); extern float __fmaf (float __x, float __y, float __z) noexcept (true);




extern float roundevenf (float __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf (float __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf (float __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf (float __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf (float __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf (float __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf (float __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf (float __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf (float __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef (float *__cx, const float *__x) noexcept (true);






extern float fmaxmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminmagf (float __x, float __y) noexcept (true) __attribute__ ((__const__));




extern float fmaximumf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimumf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fmaximum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimum_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fmaximum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimum_magf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fmaximum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));


extern float fminimum_mag_numf (float __x, float __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf (const float *__x, const float *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf (const float *__x, const float *__y) noexcept (true)

     __attribute__ ((__pure__));


extern float getpayloadf (const float *__x) noexcept (true); extern float __getpayloadf (const float *__x) noexcept (true);


extern int setpayloadf (float *__x, float __payload) noexcept (true);


extern int setpayloadsigf (float *__x, float __payload) noexcept (true);







extern float scalbf (float __x, float __n) noexcept (true); extern float __scalbf (float __x, float __n) noexcept (true);
# 300 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 367 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-helper-functions.h" 1 3
# 20 "/usr/aarch64-linux-gnu/include/bits/mathcalls-helper-functions.h" 3
extern int __fpclassifyl (long double __value) noexcept (true)
     __attribute__ ((__const__));


extern int __signbitl (long double __value) noexcept (true)
     __attribute__ ((__const__));



extern int __isinfl (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __finitel (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __isnanl (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern int __iseqsigl (long double __x, long double __y) noexcept (true);


extern int __issignalingl (long double __value) noexcept (true)
     __attribute__ ((__const__));
# 368 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 1 3
# 53 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
 extern long double acosl (long double __x) noexcept (true); extern long double __acosl (long double __x) noexcept (true);

 extern long double asinl (long double __x) noexcept (true); extern long double __asinl (long double __x) noexcept (true);

 extern long double atanl (long double __x) noexcept (true); extern long double __atanl (long double __x) noexcept (true);

 extern long double atan2l (long double __y, long double __x) noexcept (true); extern long double __atan2l (long double __y, long double __x) noexcept (true);


 extern long double cosl (long double __x) noexcept (true); extern long double __cosl (long double __x) noexcept (true);

 extern long double sinl (long double __x) noexcept (true); extern long double __sinl (long double __x) noexcept (true);

 extern long double tanl (long double __x) noexcept (true); extern long double __tanl (long double __x) noexcept (true);



extern long double acospil (long double __x) noexcept (true); extern long double __acospil (long double __x) noexcept (true);
 extern long double acospil (long double __x) noexcept (true); extern long double __acospil (long double __x) noexcept (true);

extern long double asinpil (long double __x) noexcept (true); extern long double __asinpil (long double __x) noexcept (true);
 extern long double asinpil (long double __x) noexcept (true); extern long double __asinpil (long double __x) noexcept (true);

extern long double atanpil (long double __x) noexcept (true); extern long double __atanpil (long double __x) noexcept (true);
 extern long double atanpil (long double __x) noexcept (true); extern long double __atanpil (long double __x) noexcept (true);

extern long double atan2pil (long double __y, long double __x) noexcept (true); extern long double __atan2pil (long double __y, long double __x) noexcept (true);
 extern long double atan2pil (long double __y, long double __x) noexcept (true); extern long double __atan2pil (long double __y, long double __x) noexcept (true);


 extern long double cospil (long double __x) noexcept (true); extern long double __cospil (long double __x) noexcept (true);

 extern long double sinpil (long double __x) noexcept (true); extern long double __sinpil (long double __x) noexcept (true);

 extern long double tanpil (long double __x) noexcept (true); extern long double __tanpil (long double __x) noexcept (true);





 extern long double coshl (long double __x) noexcept (true); extern long double __coshl (long double __x) noexcept (true);

 extern long double sinhl (long double __x) noexcept (true); extern long double __sinhl (long double __x) noexcept (true);

 extern long double tanhl (long double __x) noexcept (true); extern long double __tanhl (long double __x) noexcept (true);



 extern void sincosl (long double __x, long double *__sinx, long double *__cosx) noexcept (true); extern void __sincosl (long double __x, long double *__sinx, long double *__cosx) noexcept (true)
                                                        ;




 extern long double acoshl (long double __x) noexcept (true); extern long double __acoshl (long double __x) noexcept (true);

 extern long double asinhl (long double __x) noexcept (true); extern long double __asinhl (long double __x) noexcept (true);

 extern long double atanhl (long double __x) noexcept (true); extern long double __atanhl (long double __x) noexcept (true);





 extern long double expl (long double __x) noexcept (true); extern long double __expl (long double __x) noexcept (true);


extern long double frexpl (long double __x, int *__exponent) noexcept (true); extern long double __frexpl (long double __x, int *__exponent) noexcept (true);


extern long double ldexpl (long double __x, int __exponent) noexcept (true); extern long double __ldexpl (long double __x, int __exponent) noexcept (true);


 extern long double logl (long double __x) noexcept (true); extern long double __logl (long double __x) noexcept (true);


 extern long double log10l (long double __x) noexcept (true); extern long double __log10l (long double __x) noexcept (true);


extern long double modfl (long double __x, long double *__iptr) noexcept (true); extern long double __modfl (long double __x, long double *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern long double exp10l (long double __x) noexcept (true); extern long double __exp10l (long double __x) noexcept (true);


extern long double exp2m1l (long double __x) noexcept (true); extern long double __exp2m1l (long double __x) noexcept (true);


extern long double exp10m1l (long double __x) noexcept (true); extern long double __exp10m1l (long double __x) noexcept (true);


extern long double log2p1l (long double __x) noexcept (true); extern long double __log2p1l (long double __x) noexcept (true);


extern long double log10p1l (long double __x) noexcept (true); extern long double __log10p1l (long double __x) noexcept (true);


 extern long double logp1l (long double __x) noexcept (true); extern long double __logp1l (long double __x) noexcept (true);




 extern long double expm1l (long double __x) noexcept (true); extern long double __expm1l (long double __x) noexcept (true);


 extern long double log1pl (long double __x) noexcept (true); extern long double __log1pl (long double __x) noexcept (true);


extern long double logbl (long double __x) noexcept (true); extern long double __logbl (long double __x) noexcept (true);




 extern long double exp2l (long double __x) noexcept (true); extern long double __exp2l (long double __x) noexcept (true);


 extern long double log2l (long double __x) noexcept (true); extern long double __log2l (long double __x) noexcept (true);






 extern long double powl (long double __x, long double __y) noexcept (true); extern long double __powl (long double __x, long double __y) noexcept (true);


extern long double sqrtl (long double __x) noexcept (true); extern long double __sqrtl (long double __x) noexcept (true);



 extern long double hypotl (long double __x, long double __y) noexcept (true); extern long double __hypotl (long double __x, long double __y) noexcept (true);




 extern long double cbrtl (long double __x) noexcept (true); extern long double __cbrtl (long double __x) noexcept (true);




extern long double compoundnl (long double __x, long long int __y) noexcept (true); extern long double __compoundnl (long double __x, long long int __y) noexcept (true);


extern long double pownl (long double __x, long long int __y) noexcept (true); extern long double __pownl (long double __x, long long int __y) noexcept (true);


extern long double powrl (long double __x, long double __y) noexcept (true); extern long double __powrl (long double __x, long double __y) noexcept (true);


extern long double rootnl (long double __x, long long int __y) noexcept (true); extern long double __rootnl (long double __x, long long int __y) noexcept (true);


extern long double rsqrtl (long double __x) noexcept (true); extern long double __rsqrtl (long double __x) noexcept (true);






extern long double ceill (long double __x) noexcept (true) __attribute__ ((__const__));


extern long double fabsl (long double __x) noexcept (true) __attribute__ ((__const__));


extern long double floorl (long double __x) noexcept (true) __attribute__ ((__const__));


extern long double fmodl (long double __x, long double __y) noexcept (true); extern long double __fmodl (long double __x, long double __y) noexcept (true);
# 231 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern int isinfl (long double __value) noexcept (true)
  __attribute__ ((__const__));




extern int finitel (long double __value) noexcept (true)
  __attribute__ ((__const__));


extern long double dreml (long double __x, long double __y) noexcept (true); extern long double __dreml (long double __x, long double __y) noexcept (true);



extern long double significandl (long double __x) noexcept (true); extern long double __significandl (long double __x) noexcept (true);






extern long double copysignl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));




extern long double nanl (const char *__tagb) noexcept (true); extern long double __nanl (const char *__tagb) noexcept (true);
# 267 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern int isnanl (long double __value) noexcept (true)
  __attribute__ ((__const__));





extern long double j0l (long double) noexcept (true); extern long double __j0l (long double) noexcept (true);
extern long double j1l (long double) noexcept (true); extern long double __j1l (long double) noexcept (true);
extern long double jnl (int, long double) noexcept (true); extern long double __jnl (int, long double) noexcept (true);
extern long double y0l (long double) noexcept (true); extern long double __y0l (long double) noexcept (true);
extern long double y1l (long double) noexcept (true); extern long double __y1l (long double) noexcept (true);
extern long double ynl (int, long double) noexcept (true); extern long double __ynl (int, long double) noexcept (true);





 extern long double erfl (long double) noexcept (true); extern long double __erfl (long double) noexcept (true);
 extern long double erfcl (long double) noexcept (true); extern long double __erfcl (long double) noexcept (true);
extern long double lgammal (long double) noexcept (true); extern long double __lgammal (long double) noexcept (true);




extern long double tgammal (long double) noexcept (true); extern long double __tgammal (long double) noexcept (true);





extern long double gammal (long double) noexcept (true); extern long double __gammal (long double) noexcept (true);







extern long double lgammal_r (long double, int *__signgamp) noexcept (true); extern long double __lgammal_r (long double, int *__signgamp) noexcept (true);






extern long double rintl (long double __x) noexcept (true); extern long double __rintl (long double __x) noexcept (true);


extern long double nextafterl (long double __x, long double __y) noexcept (true); extern long double __nextafterl (long double __x, long double __y) noexcept (true);

extern long double nexttowardl (long double __x, long double __y) noexcept (true); extern long double __nexttowardl (long double __x, long double __y) noexcept (true);




extern long double nextdownl (long double __x) noexcept (true); extern long double __nextdownl (long double __x) noexcept (true);

extern long double nextupl (long double __x) noexcept (true); extern long double __nextupl (long double __x) noexcept (true);



extern long double remainderl (long double __x, long double __y) noexcept (true); extern long double __remainderl (long double __x, long double __y) noexcept (true);



extern long double scalbnl (long double __x, int __n) noexcept (true); extern long double __scalbnl (long double __x, int __n) noexcept (true);



extern int ilogbl (long double __x) noexcept (true); extern int __ilogbl (long double __x) noexcept (true);




extern long int llogbl (long double __x) noexcept (true); extern long int __llogbl (long double __x) noexcept (true);




extern long double scalblnl (long double __x, long int __n) noexcept (true); extern long double __scalblnl (long double __x, long int __n) noexcept (true);



extern long double nearbyintl (long double __x) noexcept (true); extern long double __nearbyintl (long double __x) noexcept (true);



extern long double roundl (long double __x) noexcept (true) __attribute__ ((__const__));



extern long double truncl (long double __x) noexcept (true) __attribute__ ((__const__));




extern long double remquol (long double __x, long double __y, int *__quo) noexcept (true); extern long double __remquol (long double __x, long double __y, int *__quo) noexcept (true);






extern long int lrintl (long double __x) noexcept (true); extern long int __lrintl (long double __x) noexcept (true);
__extension__
extern long long int llrintl (long double __x) noexcept (true); extern long long int __llrintl (long double __x) noexcept (true);



extern long int lroundl (long double __x) noexcept (true); extern long int __lroundl (long double __x) noexcept (true);
__extension__
extern long long int llroundl (long double __x) noexcept (true); extern long long int __llroundl (long double __x) noexcept (true);



extern long double fdiml (long double __x, long double __y) noexcept (true); extern long double __fdiml (long double __x, long double __y) noexcept (true);



extern long double fmaxl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));



extern long double fmal (long double __x, long double __y, long double __z) noexcept (true); extern long double __fmal (long double __x, long double __y, long double __z) noexcept (true);




extern long double roundevenl (long double __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpl (long double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpl (long double __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpl (long double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpl (long double __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxl (long double __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxl (long double __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxl (long double __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxl (long double __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizel (long double *__cx, const long double *__x) noexcept (true);






extern long double fmaxmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminmagl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));




extern long double fmaximuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimuml (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fmaximum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimum_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fmaximum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimum_magl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fmaximum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));


extern long double fminimum_mag_numl (long double __x, long double __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderl (const long double *__x, const long double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagl (const long double *__x, const long double *__y) noexcept (true)

     __attribute__ ((__pure__));


extern long double getpayloadl (const long double *__x) noexcept (true); extern long double __getpayloadl (const long double *__x) noexcept (true);


extern int setpayloadl (long double *__x, long double __payload) noexcept (true);


extern int setpayloadsigl (long double *__x, long double __payload) noexcept (true);







extern long double scalbl (long double __x, long double __n) noexcept (true); extern long double __scalbl (long double __x, long double __n) noexcept (true);
# 369 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 419 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 1 3
# 53 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
 extern _Float32 acosf32 (_Float32 __x) noexcept (true); extern _Float32 __acosf32 (_Float32 __x) noexcept (true);

 extern _Float32 asinf32 (_Float32 __x) noexcept (true); extern _Float32 __asinf32 (_Float32 __x) noexcept (true);

 extern _Float32 atanf32 (_Float32 __x) noexcept (true); extern _Float32 __atanf32 (_Float32 __x) noexcept (true);

 extern _Float32 atan2f32 (_Float32 __y, _Float32 __x) noexcept (true); extern _Float32 __atan2f32 (_Float32 __y, _Float32 __x) noexcept (true);


 extern _Float32 cosf32 (_Float32 __x) noexcept (true); extern _Float32 __cosf32 (_Float32 __x) noexcept (true);

 extern _Float32 sinf32 (_Float32 __x) noexcept (true); extern _Float32 __sinf32 (_Float32 __x) noexcept (true);

 extern _Float32 tanf32 (_Float32 __x) noexcept (true); extern _Float32 __tanf32 (_Float32 __x) noexcept (true);



extern _Float32 acospif32 (_Float32 __x) noexcept (true); extern _Float32 __acospif32 (_Float32 __x) noexcept (true);
 extern _Float32 acospif32 (_Float32 __x) noexcept (true); extern _Float32 __acospif32 (_Float32 __x) noexcept (true);

extern _Float32 asinpif32 (_Float32 __x) noexcept (true); extern _Float32 __asinpif32 (_Float32 __x) noexcept (true);
 extern _Float32 asinpif32 (_Float32 __x) noexcept (true); extern _Float32 __asinpif32 (_Float32 __x) noexcept (true);

extern _Float32 atanpif32 (_Float32 __x) noexcept (true); extern _Float32 __atanpif32 (_Float32 __x) noexcept (true);
 extern _Float32 atanpif32 (_Float32 __x) noexcept (true); extern _Float32 __atanpif32 (_Float32 __x) noexcept (true);

extern _Float32 atan2pif32 (_Float32 __y, _Float32 __x) noexcept (true); extern _Float32 __atan2pif32 (_Float32 __y, _Float32 __x) noexcept (true);
 extern _Float32 atan2pif32 (_Float32 __y, _Float32 __x) noexcept (true); extern _Float32 __atan2pif32 (_Float32 __y, _Float32 __x) noexcept (true);


 extern _Float32 cospif32 (_Float32 __x) noexcept (true); extern _Float32 __cospif32 (_Float32 __x) noexcept (true);

 extern _Float32 sinpif32 (_Float32 __x) noexcept (true); extern _Float32 __sinpif32 (_Float32 __x) noexcept (true);

 extern _Float32 tanpif32 (_Float32 __x) noexcept (true); extern _Float32 __tanpif32 (_Float32 __x) noexcept (true);





 extern _Float32 coshf32 (_Float32 __x) noexcept (true); extern _Float32 __coshf32 (_Float32 __x) noexcept (true);

 extern _Float32 sinhf32 (_Float32 __x) noexcept (true); extern _Float32 __sinhf32 (_Float32 __x) noexcept (true);

 extern _Float32 tanhf32 (_Float32 __x) noexcept (true); extern _Float32 __tanhf32 (_Float32 __x) noexcept (true);



 extern void sincosf32 (_Float32 __x, _Float32 *__sinx, _Float32 *__cosx) noexcept (true); extern void __sincosf32 (_Float32 __x, _Float32 *__sinx, _Float32 *__cosx) noexcept (true)
                                                        ;




 extern _Float32 acoshf32 (_Float32 __x) noexcept (true); extern _Float32 __acoshf32 (_Float32 __x) noexcept (true);

 extern _Float32 asinhf32 (_Float32 __x) noexcept (true); extern _Float32 __asinhf32 (_Float32 __x) noexcept (true);

 extern _Float32 atanhf32 (_Float32 __x) noexcept (true); extern _Float32 __atanhf32 (_Float32 __x) noexcept (true);





 extern _Float32 expf32 (_Float32 __x) noexcept (true); extern _Float32 __expf32 (_Float32 __x) noexcept (true);


extern _Float32 frexpf32 (_Float32 __x, int *__exponent) noexcept (true); extern _Float32 __frexpf32 (_Float32 __x, int *__exponent) noexcept (true);


extern _Float32 ldexpf32 (_Float32 __x, int __exponent) noexcept (true); extern _Float32 __ldexpf32 (_Float32 __x, int __exponent) noexcept (true);


 extern _Float32 logf32 (_Float32 __x) noexcept (true); extern _Float32 __logf32 (_Float32 __x) noexcept (true);


 extern _Float32 log10f32 (_Float32 __x) noexcept (true); extern _Float32 __log10f32 (_Float32 __x) noexcept (true);


extern _Float32 modff32 (_Float32 __x, _Float32 *__iptr) noexcept (true); extern _Float32 __modff32 (_Float32 __x, _Float32 *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float32 exp10f32 (_Float32 __x) noexcept (true); extern _Float32 __exp10f32 (_Float32 __x) noexcept (true);


extern _Float32 exp2m1f32 (_Float32 __x) noexcept (true); extern _Float32 __exp2m1f32 (_Float32 __x) noexcept (true);


extern _Float32 exp10m1f32 (_Float32 __x) noexcept (true); extern _Float32 __exp10m1f32 (_Float32 __x) noexcept (true);


extern _Float32 log2p1f32 (_Float32 __x) noexcept (true); extern _Float32 __log2p1f32 (_Float32 __x) noexcept (true);


extern _Float32 log10p1f32 (_Float32 __x) noexcept (true); extern _Float32 __log10p1f32 (_Float32 __x) noexcept (true);


 extern _Float32 logp1f32 (_Float32 __x) noexcept (true); extern _Float32 __logp1f32 (_Float32 __x) noexcept (true);




 extern _Float32 expm1f32 (_Float32 __x) noexcept (true); extern _Float32 __expm1f32 (_Float32 __x) noexcept (true);


 extern _Float32 log1pf32 (_Float32 __x) noexcept (true); extern _Float32 __log1pf32 (_Float32 __x) noexcept (true);


extern _Float32 logbf32 (_Float32 __x) noexcept (true); extern _Float32 __logbf32 (_Float32 __x) noexcept (true);




 extern _Float32 exp2f32 (_Float32 __x) noexcept (true); extern _Float32 __exp2f32 (_Float32 __x) noexcept (true);


 extern _Float32 log2f32 (_Float32 __x) noexcept (true); extern _Float32 __log2f32 (_Float32 __x) noexcept (true);






 extern _Float32 powf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __powf32 (_Float32 __x, _Float32 __y) noexcept (true);


extern _Float32 sqrtf32 (_Float32 __x) noexcept (true); extern _Float32 __sqrtf32 (_Float32 __x) noexcept (true);



 extern _Float32 hypotf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __hypotf32 (_Float32 __x, _Float32 __y) noexcept (true);




 extern _Float32 cbrtf32 (_Float32 __x) noexcept (true); extern _Float32 __cbrtf32 (_Float32 __x) noexcept (true);




extern _Float32 compoundnf32 (_Float32 __x, long long int __y) noexcept (true); extern _Float32 __compoundnf32 (_Float32 __x, long long int __y) noexcept (true);


extern _Float32 pownf32 (_Float32 __x, long long int __y) noexcept (true); extern _Float32 __pownf32 (_Float32 __x, long long int __y) noexcept (true);


extern _Float32 powrf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __powrf32 (_Float32 __x, _Float32 __y) noexcept (true);


extern _Float32 rootnf32 (_Float32 __x, long long int __y) noexcept (true); extern _Float32 __rootnf32 (_Float32 __x, long long int __y) noexcept (true);


extern _Float32 rsqrtf32 (_Float32 __x) noexcept (true); extern _Float32 __rsqrtf32 (_Float32 __x) noexcept (true);






extern _Float32 ceilf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));


extern _Float32 fabsf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));


extern _Float32 floorf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmodf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __fmodf32 (_Float32 __x, _Float32 __y) noexcept (true);
# 252 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float32 copysignf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));




extern _Float32 nanf32 (const char *__tagb) noexcept (true); extern _Float32 __nanf32 (const char *__tagb) noexcept (true);
# 274 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float32 j0f32 (_Float32) noexcept (true); extern _Float32 __j0f32 (_Float32) noexcept (true);
extern _Float32 j1f32 (_Float32) noexcept (true); extern _Float32 __j1f32 (_Float32) noexcept (true);
extern _Float32 jnf32 (int, _Float32) noexcept (true); extern _Float32 __jnf32 (int, _Float32) noexcept (true);
extern _Float32 y0f32 (_Float32) noexcept (true); extern _Float32 __y0f32 (_Float32) noexcept (true);
extern _Float32 y1f32 (_Float32) noexcept (true); extern _Float32 __y1f32 (_Float32) noexcept (true);
extern _Float32 ynf32 (int, _Float32) noexcept (true); extern _Float32 __ynf32 (int, _Float32) noexcept (true);





 extern _Float32 erff32 (_Float32) noexcept (true); extern _Float32 __erff32 (_Float32) noexcept (true);
 extern _Float32 erfcf32 (_Float32) noexcept (true); extern _Float32 __erfcf32 (_Float32) noexcept (true);
extern _Float32 lgammaf32 (_Float32) noexcept (true); extern _Float32 __lgammaf32 (_Float32) noexcept (true);




extern _Float32 tgammaf32 (_Float32) noexcept (true); extern _Float32 __tgammaf32 (_Float32) noexcept (true);
# 306 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float32 lgammaf32_r (_Float32, int *__signgamp) noexcept (true); extern _Float32 __lgammaf32_r (_Float32, int *__signgamp) noexcept (true);






extern _Float32 rintf32 (_Float32 __x) noexcept (true); extern _Float32 __rintf32 (_Float32 __x) noexcept (true);


extern _Float32 nextafterf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __nextafterf32 (_Float32 __x, _Float32 __y) noexcept (true);






extern _Float32 nextdownf32 (_Float32 __x) noexcept (true); extern _Float32 __nextdownf32 (_Float32 __x) noexcept (true);

extern _Float32 nextupf32 (_Float32 __x) noexcept (true); extern _Float32 __nextupf32 (_Float32 __x) noexcept (true);



extern _Float32 remainderf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __remainderf32 (_Float32 __x, _Float32 __y) noexcept (true);



extern _Float32 scalbnf32 (_Float32 __x, int __n) noexcept (true); extern _Float32 __scalbnf32 (_Float32 __x, int __n) noexcept (true);



extern int ilogbf32 (_Float32 __x) noexcept (true); extern int __ilogbf32 (_Float32 __x) noexcept (true);




extern long int llogbf32 (_Float32 __x) noexcept (true); extern long int __llogbf32 (_Float32 __x) noexcept (true);




extern _Float32 scalblnf32 (_Float32 __x, long int __n) noexcept (true); extern _Float32 __scalblnf32 (_Float32 __x, long int __n) noexcept (true);



extern _Float32 nearbyintf32 (_Float32 __x) noexcept (true); extern _Float32 __nearbyintf32 (_Float32 __x) noexcept (true);



extern _Float32 roundf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));



extern _Float32 truncf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));




extern _Float32 remquof32 (_Float32 __x, _Float32 __y, int *__quo) noexcept (true); extern _Float32 __remquof32 (_Float32 __x, _Float32 __y, int *__quo) noexcept (true);






extern long int lrintf32 (_Float32 __x) noexcept (true); extern long int __lrintf32 (_Float32 __x) noexcept (true);
__extension__
extern long long int llrintf32 (_Float32 __x) noexcept (true); extern long long int __llrintf32 (_Float32 __x) noexcept (true);



extern long int lroundf32 (_Float32 __x) noexcept (true); extern long int __lroundf32 (_Float32 __x) noexcept (true);
__extension__
extern long long int llroundf32 (_Float32 __x) noexcept (true); extern long long int __llroundf32 (_Float32 __x) noexcept (true);



extern _Float32 fdimf32 (_Float32 __x, _Float32 __y) noexcept (true); extern _Float32 __fdimf32 (_Float32 __x, _Float32 __y) noexcept (true);



extern _Float32 fmaxf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));



extern _Float32 fmaf32 (_Float32 __x, _Float32 __y, _Float32 __z) noexcept (true); extern _Float32 __fmaf32 (_Float32 __x, _Float32 __y, _Float32 __z) noexcept (true);




extern _Float32 roundevenf32 (_Float32 __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf32 (_Float32 __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef32 (_Float32 *__cx, const _Float32 *__x) noexcept (true);






extern _Float32 fmaxmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminmagf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));




extern _Float32 fmaximumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimumf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmaximum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimum_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmaximum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimum_magf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fmaximum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));


extern _Float32 fminimum_mag_numf32 (_Float32 __x, _Float32 __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf32 (const _Float32 *__x, const _Float32 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf32 (const _Float32 *__x, const _Float32 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float32 getpayloadf32 (const _Float32 *__x) noexcept (true); extern _Float32 __getpayloadf32 (const _Float32 *__x) noexcept (true);


extern int setpayloadf32 (_Float32 *__x, _Float32 __payload) noexcept (true);


extern int setpayloadsigf32 (_Float32 *__x, _Float32 __payload) noexcept (true);
# 420 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 436 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 1 3
# 53 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
 extern _Float64 acosf64 (_Float64 __x) noexcept (true); extern _Float64 __acosf64 (_Float64 __x) noexcept (true);

 extern _Float64 asinf64 (_Float64 __x) noexcept (true); extern _Float64 __asinf64 (_Float64 __x) noexcept (true);

 extern _Float64 atanf64 (_Float64 __x) noexcept (true); extern _Float64 __atanf64 (_Float64 __x) noexcept (true);

 extern _Float64 atan2f64 (_Float64 __y, _Float64 __x) noexcept (true); extern _Float64 __atan2f64 (_Float64 __y, _Float64 __x) noexcept (true);


 extern _Float64 cosf64 (_Float64 __x) noexcept (true); extern _Float64 __cosf64 (_Float64 __x) noexcept (true);

 extern _Float64 sinf64 (_Float64 __x) noexcept (true); extern _Float64 __sinf64 (_Float64 __x) noexcept (true);

 extern _Float64 tanf64 (_Float64 __x) noexcept (true); extern _Float64 __tanf64 (_Float64 __x) noexcept (true);



extern _Float64 acospif64 (_Float64 __x) noexcept (true); extern _Float64 __acospif64 (_Float64 __x) noexcept (true);
 extern _Float64 acospif64 (_Float64 __x) noexcept (true); extern _Float64 __acospif64 (_Float64 __x) noexcept (true);

extern _Float64 asinpif64 (_Float64 __x) noexcept (true); extern _Float64 __asinpif64 (_Float64 __x) noexcept (true);
 extern _Float64 asinpif64 (_Float64 __x) noexcept (true); extern _Float64 __asinpif64 (_Float64 __x) noexcept (true);

extern _Float64 atanpif64 (_Float64 __x) noexcept (true); extern _Float64 __atanpif64 (_Float64 __x) noexcept (true);
 extern _Float64 atanpif64 (_Float64 __x) noexcept (true); extern _Float64 __atanpif64 (_Float64 __x) noexcept (true);

extern _Float64 atan2pif64 (_Float64 __y, _Float64 __x) noexcept (true); extern _Float64 __atan2pif64 (_Float64 __y, _Float64 __x) noexcept (true);
 extern _Float64 atan2pif64 (_Float64 __y, _Float64 __x) noexcept (true); extern _Float64 __atan2pif64 (_Float64 __y, _Float64 __x) noexcept (true);


 extern _Float64 cospif64 (_Float64 __x) noexcept (true); extern _Float64 __cospif64 (_Float64 __x) noexcept (true);

 extern _Float64 sinpif64 (_Float64 __x) noexcept (true); extern _Float64 __sinpif64 (_Float64 __x) noexcept (true);

 extern _Float64 tanpif64 (_Float64 __x) noexcept (true); extern _Float64 __tanpif64 (_Float64 __x) noexcept (true);





 extern _Float64 coshf64 (_Float64 __x) noexcept (true); extern _Float64 __coshf64 (_Float64 __x) noexcept (true);

 extern _Float64 sinhf64 (_Float64 __x) noexcept (true); extern _Float64 __sinhf64 (_Float64 __x) noexcept (true);

 extern _Float64 tanhf64 (_Float64 __x) noexcept (true); extern _Float64 __tanhf64 (_Float64 __x) noexcept (true);



 extern void sincosf64 (_Float64 __x, _Float64 *__sinx, _Float64 *__cosx) noexcept (true); extern void __sincosf64 (_Float64 __x, _Float64 *__sinx, _Float64 *__cosx) noexcept (true)
                                                        ;




 extern _Float64 acoshf64 (_Float64 __x) noexcept (true); extern _Float64 __acoshf64 (_Float64 __x) noexcept (true);

 extern _Float64 asinhf64 (_Float64 __x) noexcept (true); extern _Float64 __asinhf64 (_Float64 __x) noexcept (true);

 extern _Float64 atanhf64 (_Float64 __x) noexcept (true); extern _Float64 __atanhf64 (_Float64 __x) noexcept (true);





 extern _Float64 expf64 (_Float64 __x) noexcept (true); extern _Float64 __expf64 (_Float64 __x) noexcept (true);


extern _Float64 frexpf64 (_Float64 __x, int *__exponent) noexcept (true); extern _Float64 __frexpf64 (_Float64 __x, int *__exponent) noexcept (true);


extern _Float64 ldexpf64 (_Float64 __x, int __exponent) noexcept (true); extern _Float64 __ldexpf64 (_Float64 __x, int __exponent) noexcept (true);


 extern _Float64 logf64 (_Float64 __x) noexcept (true); extern _Float64 __logf64 (_Float64 __x) noexcept (true);


 extern _Float64 log10f64 (_Float64 __x) noexcept (true); extern _Float64 __log10f64 (_Float64 __x) noexcept (true);


extern _Float64 modff64 (_Float64 __x, _Float64 *__iptr) noexcept (true); extern _Float64 __modff64 (_Float64 __x, _Float64 *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float64 exp10f64 (_Float64 __x) noexcept (true); extern _Float64 __exp10f64 (_Float64 __x) noexcept (true);


extern _Float64 exp2m1f64 (_Float64 __x) noexcept (true); extern _Float64 __exp2m1f64 (_Float64 __x) noexcept (true);


extern _Float64 exp10m1f64 (_Float64 __x) noexcept (true); extern _Float64 __exp10m1f64 (_Float64 __x) noexcept (true);


extern _Float64 log2p1f64 (_Float64 __x) noexcept (true); extern _Float64 __log2p1f64 (_Float64 __x) noexcept (true);


extern _Float64 log10p1f64 (_Float64 __x) noexcept (true); extern _Float64 __log10p1f64 (_Float64 __x) noexcept (true);


 extern _Float64 logp1f64 (_Float64 __x) noexcept (true); extern _Float64 __logp1f64 (_Float64 __x) noexcept (true);




 extern _Float64 expm1f64 (_Float64 __x) noexcept (true); extern _Float64 __expm1f64 (_Float64 __x) noexcept (true);


 extern _Float64 log1pf64 (_Float64 __x) noexcept (true); extern _Float64 __log1pf64 (_Float64 __x) noexcept (true);


extern _Float64 logbf64 (_Float64 __x) noexcept (true); extern _Float64 __logbf64 (_Float64 __x) noexcept (true);




 extern _Float64 exp2f64 (_Float64 __x) noexcept (true); extern _Float64 __exp2f64 (_Float64 __x) noexcept (true);


 extern _Float64 log2f64 (_Float64 __x) noexcept (true); extern _Float64 __log2f64 (_Float64 __x) noexcept (true);






 extern _Float64 powf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __powf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float64 sqrtf64 (_Float64 __x) noexcept (true); extern _Float64 __sqrtf64 (_Float64 __x) noexcept (true);



 extern _Float64 hypotf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __hypotf64 (_Float64 __x, _Float64 __y) noexcept (true);




 extern _Float64 cbrtf64 (_Float64 __x) noexcept (true); extern _Float64 __cbrtf64 (_Float64 __x) noexcept (true);




extern _Float64 compoundnf64 (_Float64 __x, long long int __y) noexcept (true); extern _Float64 __compoundnf64 (_Float64 __x, long long int __y) noexcept (true);


extern _Float64 pownf64 (_Float64 __x, long long int __y) noexcept (true); extern _Float64 __pownf64 (_Float64 __x, long long int __y) noexcept (true);


extern _Float64 powrf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __powrf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float64 rootnf64 (_Float64 __x, long long int __y) noexcept (true); extern _Float64 __rootnf64 (_Float64 __x, long long int __y) noexcept (true);


extern _Float64 rsqrtf64 (_Float64 __x) noexcept (true); extern _Float64 __rsqrtf64 (_Float64 __x) noexcept (true);






extern _Float64 ceilf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));


extern _Float64 fabsf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));


extern _Float64 floorf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmodf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __fmodf64 (_Float64 __x, _Float64 __y) noexcept (true);
# 252 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float64 copysignf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));




extern _Float64 nanf64 (const char *__tagb) noexcept (true); extern _Float64 __nanf64 (const char *__tagb) noexcept (true);
# 274 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float64 j0f64 (_Float64) noexcept (true); extern _Float64 __j0f64 (_Float64) noexcept (true);
extern _Float64 j1f64 (_Float64) noexcept (true); extern _Float64 __j1f64 (_Float64) noexcept (true);
extern _Float64 jnf64 (int, _Float64) noexcept (true); extern _Float64 __jnf64 (int, _Float64) noexcept (true);
extern _Float64 y0f64 (_Float64) noexcept (true); extern _Float64 __y0f64 (_Float64) noexcept (true);
extern _Float64 y1f64 (_Float64) noexcept (true); extern _Float64 __y1f64 (_Float64) noexcept (true);
extern _Float64 ynf64 (int, _Float64) noexcept (true); extern _Float64 __ynf64 (int, _Float64) noexcept (true);





 extern _Float64 erff64 (_Float64) noexcept (true); extern _Float64 __erff64 (_Float64) noexcept (true);
 extern _Float64 erfcf64 (_Float64) noexcept (true); extern _Float64 __erfcf64 (_Float64) noexcept (true);
extern _Float64 lgammaf64 (_Float64) noexcept (true); extern _Float64 __lgammaf64 (_Float64) noexcept (true);




extern _Float64 tgammaf64 (_Float64) noexcept (true); extern _Float64 __tgammaf64 (_Float64) noexcept (true);
# 306 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float64 lgammaf64_r (_Float64, int *__signgamp) noexcept (true); extern _Float64 __lgammaf64_r (_Float64, int *__signgamp) noexcept (true);






extern _Float64 rintf64 (_Float64 __x) noexcept (true); extern _Float64 __rintf64 (_Float64 __x) noexcept (true);


extern _Float64 nextafterf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __nextafterf64 (_Float64 __x, _Float64 __y) noexcept (true);






extern _Float64 nextdownf64 (_Float64 __x) noexcept (true); extern _Float64 __nextdownf64 (_Float64 __x) noexcept (true);

extern _Float64 nextupf64 (_Float64 __x) noexcept (true); extern _Float64 __nextupf64 (_Float64 __x) noexcept (true);



extern _Float64 remainderf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __remainderf64 (_Float64 __x, _Float64 __y) noexcept (true);



extern _Float64 scalbnf64 (_Float64 __x, int __n) noexcept (true); extern _Float64 __scalbnf64 (_Float64 __x, int __n) noexcept (true);



extern int ilogbf64 (_Float64 __x) noexcept (true); extern int __ilogbf64 (_Float64 __x) noexcept (true);




extern long int llogbf64 (_Float64 __x) noexcept (true); extern long int __llogbf64 (_Float64 __x) noexcept (true);




extern _Float64 scalblnf64 (_Float64 __x, long int __n) noexcept (true); extern _Float64 __scalblnf64 (_Float64 __x, long int __n) noexcept (true);



extern _Float64 nearbyintf64 (_Float64 __x) noexcept (true); extern _Float64 __nearbyintf64 (_Float64 __x) noexcept (true);



extern _Float64 roundf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));



extern _Float64 truncf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));




extern _Float64 remquof64 (_Float64 __x, _Float64 __y, int *__quo) noexcept (true); extern _Float64 __remquof64 (_Float64 __x, _Float64 __y, int *__quo) noexcept (true);






extern long int lrintf64 (_Float64 __x) noexcept (true); extern long int __lrintf64 (_Float64 __x) noexcept (true);
__extension__
extern long long int llrintf64 (_Float64 __x) noexcept (true); extern long long int __llrintf64 (_Float64 __x) noexcept (true);



extern long int lroundf64 (_Float64 __x) noexcept (true); extern long int __lroundf64 (_Float64 __x) noexcept (true);
__extension__
extern long long int llroundf64 (_Float64 __x) noexcept (true); extern long long int __llroundf64 (_Float64 __x) noexcept (true);



extern _Float64 fdimf64 (_Float64 __x, _Float64 __y) noexcept (true); extern _Float64 __fdimf64 (_Float64 __x, _Float64 __y) noexcept (true);



extern _Float64 fmaxf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));



extern _Float64 fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true); extern _Float64 __fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true);




extern _Float64 roundevenf64 (_Float64 __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf64 (_Float64 __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef64 (_Float64 *__cx, const _Float64 *__x) noexcept (true);






extern _Float64 fmaxmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminmagf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));




extern _Float64 fmaximumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimumf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmaximum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimum_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmaximum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimum_magf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fmaximum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));


extern _Float64 fminimum_mag_numf64 (_Float64 __x, _Float64 __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf64 (const _Float64 *__x, const _Float64 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf64 (const _Float64 *__x, const _Float64 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float64 getpayloadf64 (const _Float64 *__x) noexcept (true); extern _Float64 __getpayloadf64 (const _Float64 *__x) noexcept (true);


extern int setpayloadf64 (_Float64 *__x, _Float64 __payload) noexcept (true);


extern int setpayloadsigf64 (_Float64 *__x, _Float64 __payload) noexcept (true);
# 437 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 453 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 1 3
# 53 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
 extern _Float128 acosf128 (_Float128 __x) noexcept (true); extern _Float128 __acosf128 (_Float128 __x) noexcept (true);

 extern _Float128 asinf128 (_Float128 __x) noexcept (true); extern _Float128 __asinf128 (_Float128 __x) noexcept (true);

 extern _Float128 atanf128 (_Float128 __x) noexcept (true); extern _Float128 __atanf128 (_Float128 __x) noexcept (true);

 extern _Float128 atan2f128 (_Float128 __y, _Float128 __x) noexcept (true); extern _Float128 __atan2f128 (_Float128 __y, _Float128 __x) noexcept (true);


 extern _Float128 cosf128 (_Float128 __x) noexcept (true); extern _Float128 __cosf128 (_Float128 __x) noexcept (true);

 extern _Float128 sinf128 (_Float128 __x) noexcept (true); extern _Float128 __sinf128 (_Float128 __x) noexcept (true);

 extern _Float128 tanf128 (_Float128 __x) noexcept (true); extern _Float128 __tanf128 (_Float128 __x) noexcept (true);



extern _Float128 acospif128 (_Float128 __x) noexcept (true); extern _Float128 __acospif128 (_Float128 __x) noexcept (true);
 extern _Float128 acospif128 (_Float128 __x) noexcept (true); extern _Float128 __acospif128 (_Float128 __x) noexcept (true);

extern _Float128 asinpif128 (_Float128 __x) noexcept (true); extern _Float128 __asinpif128 (_Float128 __x) noexcept (true);
 extern _Float128 asinpif128 (_Float128 __x) noexcept (true); extern _Float128 __asinpif128 (_Float128 __x) noexcept (true);

extern _Float128 atanpif128 (_Float128 __x) noexcept (true); extern _Float128 __atanpif128 (_Float128 __x) noexcept (true);
 extern _Float128 atanpif128 (_Float128 __x) noexcept (true); extern _Float128 __atanpif128 (_Float128 __x) noexcept (true);

extern _Float128 atan2pif128 (_Float128 __y, _Float128 __x) noexcept (true); extern _Float128 __atan2pif128 (_Float128 __y, _Float128 __x) noexcept (true);
 extern _Float128 atan2pif128 (_Float128 __y, _Float128 __x) noexcept (true); extern _Float128 __atan2pif128 (_Float128 __y, _Float128 __x) noexcept (true);


 extern _Float128 cospif128 (_Float128 __x) noexcept (true); extern _Float128 __cospif128 (_Float128 __x) noexcept (true);

 extern _Float128 sinpif128 (_Float128 __x) noexcept (true); extern _Float128 __sinpif128 (_Float128 __x) noexcept (true);

 extern _Float128 tanpif128 (_Float128 __x) noexcept (true); extern _Float128 __tanpif128 (_Float128 __x) noexcept (true);





 extern _Float128 coshf128 (_Float128 __x) noexcept (true); extern _Float128 __coshf128 (_Float128 __x) noexcept (true);

 extern _Float128 sinhf128 (_Float128 __x) noexcept (true); extern _Float128 __sinhf128 (_Float128 __x) noexcept (true);

 extern _Float128 tanhf128 (_Float128 __x) noexcept (true); extern _Float128 __tanhf128 (_Float128 __x) noexcept (true);



 extern void sincosf128 (_Float128 __x, _Float128 *__sinx, _Float128 *__cosx) noexcept (true); extern void __sincosf128 (_Float128 __x, _Float128 *__sinx, _Float128 *__cosx) noexcept (true)
                                                        ;




 extern _Float128 acoshf128 (_Float128 __x) noexcept (true); extern _Float128 __acoshf128 (_Float128 __x) noexcept (true);

 extern _Float128 asinhf128 (_Float128 __x) noexcept (true); extern _Float128 __asinhf128 (_Float128 __x) noexcept (true);

 extern _Float128 atanhf128 (_Float128 __x) noexcept (true); extern _Float128 __atanhf128 (_Float128 __x) noexcept (true);





 extern _Float128 expf128 (_Float128 __x) noexcept (true); extern _Float128 __expf128 (_Float128 __x) noexcept (true);


extern _Float128 frexpf128 (_Float128 __x, int *__exponent) noexcept (true); extern _Float128 __frexpf128 (_Float128 __x, int *__exponent) noexcept (true);


extern _Float128 ldexpf128 (_Float128 __x, int __exponent) noexcept (true); extern _Float128 __ldexpf128 (_Float128 __x, int __exponent) noexcept (true);


 extern _Float128 logf128 (_Float128 __x) noexcept (true); extern _Float128 __logf128 (_Float128 __x) noexcept (true);


 extern _Float128 log10f128 (_Float128 __x) noexcept (true); extern _Float128 __log10f128 (_Float128 __x) noexcept (true);


extern _Float128 modff128 (_Float128 __x, _Float128 *__iptr) noexcept (true); extern _Float128 __modff128 (_Float128 __x, _Float128 *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float128 exp10f128 (_Float128 __x) noexcept (true); extern _Float128 __exp10f128 (_Float128 __x) noexcept (true);


extern _Float128 exp2m1f128 (_Float128 __x) noexcept (true); extern _Float128 __exp2m1f128 (_Float128 __x) noexcept (true);


extern _Float128 exp10m1f128 (_Float128 __x) noexcept (true); extern _Float128 __exp10m1f128 (_Float128 __x) noexcept (true);


extern _Float128 log2p1f128 (_Float128 __x) noexcept (true); extern _Float128 __log2p1f128 (_Float128 __x) noexcept (true);


extern _Float128 log10p1f128 (_Float128 __x) noexcept (true); extern _Float128 __log10p1f128 (_Float128 __x) noexcept (true);


 extern _Float128 logp1f128 (_Float128 __x) noexcept (true); extern _Float128 __logp1f128 (_Float128 __x) noexcept (true);




 extern _Float128 expm1f128 (_Float128 __x) noexcept (true); extern _Float128 __expm1f128 (_Float128 __x) noexcept (true);


 extern _Float128 log1pf128 (_Float128 __x) noexcept (true); extern _Float128 __log1pf128 (_Float128 __x) noexcept (true);


extern _Float128 logbf128 (_Float128 __x) noexcept (true); extern _Float128 __logbf128 (_Float128 __x) noexcept (true);




 extern _Float128 exp2f128 (_Float128 __x) noexcept (true); extern _Float128 __exp2f128 (_Float128 __x) noexcept (true);


 extern _Float128 log2f128 (_Float128 __x) noexcept (true); extern _Float128 __log2f128 (_Float128 __x) noexcept (true);






 extern _Float128 powf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __powf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float128 sqrtf128 (_Float128 __x) noexcept (true); extern _Float128 __sqrtf128 (_Float128 __x) noexcept (true);



 extern _Float128 hypotf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __hypotf128 (_Float128 __x, _Float128 __y) noexcept (true);




 extern _Float128 cbrtf128 (_Float128 __x) noexcept (true); extern _Float128 __cbrtf128 (_Float128 __x) noexcept (true);




extern _Float128 compoundnf128 (_Float128 __x, long long int __y) noexcept (true); extern _Float128 __compoundnf128 (_Float128 __x, long long int __y) noexcept (true);


extern _Float128 pownf128 (_Float128 __x, long long int __y) noexcept (true); extern _Float128 __pownf128 (_Float128 __x, long long int __y) noexcept (true);


extern _Float128 powrf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __powrf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float128 rootnf128 (_Float128 __x, long long int __y) noexcept (true); extern _Float128 __rootnf128 (_Float128 __x, long long int __y) noexcept (true);


extern _Float128 rsqrtf128 (_Float128 __x) noexcept (true); extern _Float128 __rsqrtf128 (_Float128 __x) noexcept (true);






extern _Float128 ceilf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));


extern _Float128 fabsf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));


extern _Float128 floorf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmodf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __fmodf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 252 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float128 copysignf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));




extern _Float128 nanf128 (const char *__tagb) noexcept (true); extern _Float128 __nanf128 (const char *__tagb) noexcept (true);
# 274 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float128 j0f128 (_Float128) noexcept (true); extern _Float128 __j0f128 (_Float128) noexcept (true);
extern _Float128 j1f128 (_Float128) noexcept (true); extern _Float128 __j1f128 (_Float128) noexcept (true);
extern _Float128 jnf128 (int, _Float128) noexcept (true); extern _Float128 __jnf128 (int, _Float128) noexcept (true);
extern _Float128 y0f128 (_Float128) noexcept (true); extern _Float128 __y0f128 (_Float128) noexcept (true);
extern _Float128 y1f128 (_Float128) noexcept (true); extern _Float128 __y1f128 (_Float128) noexcept (true);
extern _Float128 ynf128 (int, _Float128) noexcept (true); extern _Float128 __ynf128 (int, _Float128) noexcept (true);





 extern _Float128 erff128 (_Float128) noexcept (true); extern _Float128 __erff128 (_Float128) noexcept (true);
 extern _Float128 erfcf128 (_Float128) noexcept (true); extern _Float128 __erfcf128 (_Float128) noexcept (true);
extern _Float128 lgammaf128 (_Float128) noexcept (true); extern _Float128 __lgammaf128 (_Float128) noexcept (true);




extern _Float128 tgammaf128 (_Float128) noexcept (true); extern _Float128 __tgammaf128 (_Float128) noexcept (true);
# 306 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float128 lgammaf128_r (_Float128, int *__signgamp) noexcept (true); extern _Float128 __lgammaf128_r (_Float128, int *__signgamp) noexcept (true);






extern _Float128 rintf128 (_Float128 __x) noexcept (true); extern _Float128 __rintf128 (_Float128 __x) noexcept (true);


extern _Float128 nextafterf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __nextafterf128 (_Float128 __x, _Float128 __y) noexcept (true);






extern _Float128 nextdownf128 (_Float128 __x) noexcept (true); extern _Float128 __nextdownf128 (_Float128 __x) noexcept (true);

extern _Float128 nextupf128 (_Float128 __x) noexcept (true); extern _Float128 __nextupf128 (_Float128 __x) noexcept (true);



extern _Float128 remainderf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __remainderf128 (_Float128 __x, _Float128 __y) noexcept (true);



extern _Float128 scalbnf128 (_Float128 __x, int __n) noexcept (true); extern _Float128 __scalbnf128 (_Float128 __x, int __n) noexcept (true);



extern int ilogbf128 (_Float128 __x) noexcept (true); extern int __ilogbf128 (_Float128 __x) noexcept (true);




extern long int llogbf128 (_Float128 __x) noexcept (true); extern long int __llogbf128 (_Float128 __x) noexcept (true);




extern _Float128 scalblnf128 (_Float128 __x, long int __n) noexcept (true); extern _Float128 __scalblnf128 (_Float128 __x, long int __n) noexcept (true);



extern _Float128 nearbyintf128 (_Float128 __x) noexcept (true); extern _Float128 __nearbyintf128 (_Float128 __x) noexcept (true);



extern _Float128 roundf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));



extern _Float128 truncf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));




extern _Float128 remquof128 (_Float128 __x, _Float128 __y, int *__quo) noexcept (true); extern _Float128 __remquof128 (_Float128 __x, _Float128 __y, int *__quo) noexcept (true);






extern long int lrintf128 (_Float128 __x) noexcept (true); extern long int __lrintf128 (_Float128 __x) noexcept (true);
__extension__
extern long long int llrintf128 (_Float128 __x) noexcept (true); extern long long int __llrintf128 (_Float128 __x) noexcept (true);



extern long int lroundf128 (_Float128 __x) noexcept (true); extern long int __lroundf128 (_Float128 __x) noexcept (true);
__extension__
extern long long int llroundf128 (_Float128 __x) noexcept (true); extern long long int __llroundf128 (_Float128 __x) noexcept (true);



extern _Float128 fdimf128 (_Float128 __x, _Float128 __y) noexcept (true); extern _Float128 __fdimf128 (_Float128 __x, _Float128 __y) noexcept (true);



extern _Float128 fmaxf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));



extern _Float128 fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true); extern _Float128 __fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);




extern _Float128 roundevenf128 (_Float128 __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf128 (_Float128 __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef128 (_Float128 *__cx, const _Float128 *__x) noexcept (true);






extern _Float128 fmaxmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminmagf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));




extern _Float128 fmaximumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimumf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmaximum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimum_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmaximum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimum_magf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fmaximum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));


extern _Float128 fminimum_mag_numf128 (_Float128 __x, _Float128 __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf128 (const _Float128 *__x, const _Float128 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf128 (const _Float128 *__x, const _Float128 *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float128 getpayloadf128 (const _Float128 *__x) noexcept (true); extern _Float128 __getpayloadf128 (const _Float128 *__x) noexcept (true);


extern int setpayloadf128 (_Float128 *__x, _Float128 __payload) noexcept (true);


extern int setpayloadsigf128 (_Float128 *__x, _Float128 __payload) noexcept (true);
# 454 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 470 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 1 3
# 53 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
 extern _Float32x acosf32x (_Float32x __x) noexcept (true); extern _Float32x __acosf32x (_Float32x __x) noexcept (true);

 extern _Float32x asinf32x (_Float32x __x) noexcept (true); extern _Float32x __asinf32x (_Float32x __x) noexcept (true);

 extern _Float32x atanf32x (_Float32x __x) noexcept (true); extern _Float32x __atanf32x (_Float32x __x) noexcept (true);

 extern _Float32x atan2f32x (_Float32x __y, _Float32x __x) noexcept (true); extern _Float32x __atan2f32x (_Float32x __y, _Float32x __x) noexcept (true);


 extern _Float32x cosf32x (_Float32x __x) noexcept (true); extern _Float32x __cosf32x (_Float32x __x) noexcept (true);

 extern _Float32x sinf32x (_Float32x __x) noexcept (true); extern _Float32x __sinf32x (_Float32x __x) noexcept (true);

 extern _Float32x tanf32x (_Float32x __x) noexcept (true); extern _Float32x __tanf32x (_Float32x __x) noexcept (true);



extern _Float32x acospif32x (_Float32x __x) noexcept (true); extern _Float32x __acospif32x (_Float32x __x) noexcept (true);
 extern _Float32x acospif32x (_Float32x __x) noexcept (true); extern _Float32x __acospif32x (_Float32x __x) noexcept (true);

extern _Float32x asinpif32x (_Float32x __x) noexcept (true); extern _Float32x __asinpif32x (_Float32x __x) noexcept (true);
 extern _Float32x asinpif32x (_Float32x __x) noexcept (true); extern _Float32x __asinpif32x (_Float32x __x) noexcept (true);

extern _Float32x atanpif32x (_Float32x __x) noexcept (true); extern _Float32x __atanpif32x (_Float32x __x) noexcept (true);
 extern _Float32x atanpif32x (_Float32x __x) noexcept (true); extern _Float32x __atanpif32x (_Float32x __x) noexcept (true);

extern _Float32x atan2pif32x (_Float32x __y, _Float32x __x) noexcept (true); extern _Float32x __atan2pif32x (_Float32x __y, _Float32x __x) noexcept (true);
 extern _Float32x atan2pif32x (_Float32x __y, _Float32x __x) noexcept (true); extern _Float32x __atan2pif32x (_Float32x __y, _Float32x __x) noexcept (true);


 extern _Float32x cospif32x (_Float32x __x) noexcept (true); extern _Float32x __cospif32x (_Float32x __x) noexcept (true);

 extern _Float32x sinpif32x (_Float32x __x) noexcept (true); extern _Float32x __sinpif32x (_Float32x __x) noexcept (true);

 extern _Float32x tanpif32x (_Float32x __x) noexcept (true); extern _Float32x __tanpif32x (_Float32x __x) noexcept (true);





 extern _Float32x coshf32x (_Float32x __x) noexcept (true); extern _Float32x __coshf32x (_Float32x __x) noexcept (true);

 extern _Float32x sinhf32x (_Float32x __x) noexcept (true); extern _Float32x __sinhf32x (_Float32x __x) noexcept (true);

 extern _Float32x tanhf32x (_Float32x __x) noexcept (true); extern _Float32x __tanhf32x (_Float32x __x) noexcept (true);



 extern void sincosf32x (_Float32x __x, _Float32x *__sinx, _Float32x *__cosx) noexcept (true); extern void __sincosf32x (_Float32x __x, _Float32x *__sinx, _Float32x *__cosx) noexcept (true)
                                                        ;




 extern _Float32x acoshf32x (_Float32x __x) noexcept (true); extern _Float32x __acoshf32x (_Float32x __x) noexcept (true);

 extern _Float32x asinhf32x (_Float32x __x) noexcept (true); extern _Float32x __asinhf32x (_Float32x __x) noexcept (true);

 extern _Float32x atanhf32x (_Float32x __x) noexcept (true); extern _Float32x __atanhf32x (_Float32x __x) noexcept (true);





 extern _Float32x expf32x (_Float32x __x) noexcept (true); extern _Float32x __expf32x (_Float32x __x) noexcept (true);


extern _Float32x frexpf32x (_Float32x __x, int *__exponent) noexcept (true); extern _Float32x __frexpf32x (_Float32x __x, int *__exponent) noexcept (true);


extern _Float32x ldexpf32x (_Float32x __x, int __exponent) noexcept (true); extern _Float32x __ldexpf32x (_Float32x __x, int __exponent) noexcept (true);


 extern _Float32x logf32x (_Float32x __x) noexcept (true); extern _Float32x __logf32x (_Float32x __x) noexcept (true);


 extern _Float32x log10f32x (_Float32x __x) noexcept (true); extern _Float32x __log10f32x (_Float32x __x) noexcept (true);


extern _Float32x modff32x (_Float32x __x, _Float32x *__iptr) noexcept (true); extern _Float32x __modff32x (_Float32x __x, _Float32x *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float32x exp10f32x (_Float32x __x) noexcept (true); extern _Float32x __exp10f32x (_Float32x __x) noexcept (true);


extern _Float32x exp2m1f32x (_Float32x __x) noexcept (true); extern _Float32x __exp2m1f32x (_Float32x __x) noexcept (true);


extern _Float32x exp10m1f32x (_Float32x __x) noexcept (true); extern _Float32x __exp10m1f32x (_Float32x __x) noexcept (true);


extern _Float32x log2p1f32x (_Float32x __x) noexcept (true); extern _Float32x __log2p1f32x (_Float32x __x) noexcept (true);


extern _Float32x log10p1f32x (_Float32x __x) noexcept (true); extern _Float32x __log10p1f32x (_Float32x __x) noexcept (true);


 extern _Float32x logp1f32x (_Float32x __x) noexcept (true); extern _Float32x __logp1f32x (_Float32x __x) noexcept (true);




 extern _Float32x expm1f32x (_Float32x __x) noexcept (true); extern _Float32x __expm1f32x (_Float32x __x) noexcept (true);


 extern _Float32x log1pf32x (_Float32x __x) noexcept (true); extern _Float32x __log1pf32x (_Float32x __x) noexcept (true);


extern _Float32x logbf32x (_Float32x __x) noexcept (true); extern _Float32x __logbf32x (_Float32x __x) noexcept (true);




 extern _Float32x exp2f32x (_Float32x __x) noexcept (true); extern _Float32x __exp2f32x (_Float32x __x) noexcept (true);


 extern _Float32x log2f32x (_Float32x __x) noexcept (true); extern _Float32x __log2f32x (_Float32x __x) noexcept (true);






 extern _Float32x powf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __powf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32x sqrtf32x (_Float32x __x) noexcept (true); extern _Float32x __sqrtf32x (_Float32x __x) noexcept (true);



 extern _Float32x hypotf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __hypotf32x (_Float32x __x, _Float32x __y) noexcept (true);




 extern _Float32x cbrtf32x (_Float32x __x) noexcept (true); extern _Float32x __cbrtf32x (_Float32x __x) noexcept (true);




extern _Float32x compoundnf32x (_Float32x __x, long long int __y) noexcept (true); extern _Float32x __compoundnf32x (_Float32x __x, long long int __y) noexcept (true);


extern _Float32x pownf32x (_Float32x __x, long long int __y) noexcept (true); extern _Float32x __pownf32x (_Float32x __x, long long int __y) noexcept (true);


extern _Float32x powrf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __powrf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32x rootnf32x (_Float32x __x, long long int __y) noexcept (true); extern _Float32x __rootnf32x (_Float32x __x, long long int __y) noexcept (true);


extern _Float32x rsqrtf32x (_Float32x __x) noexcept (true); extern _Float32x __rsqrtf32x (_Float32x __x) noexcept (true);






extern _Float32x ceilf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));


extern _Float32x fabsf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));


extern _Float32x floorf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmodf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __fmodf32x (_Float32x __x, _Float32x __y) noexcept (true);
# 252 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float32x copysignf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));




extern _Float32x nanf32x (const char *__tagb) noexcept (true); extern _Float32x __nanf32x (const char *__tagb) noexcept (true);
# 274 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float32x j0f32x (_Float32x) noexcept (true); extern _Float32x __j0f32x (_Float32x) noexcept (true);
extern _Float32x j1f32x (_Float32x) noexcept (true); extern _Float32x __j1f32x (_Float32x) noexcept (true);
extern _Float32x jnf32x (int, _Float32x) noexcept (true); extern _Float32x __jnf32x (int, _Float32x) noexcept (true);
extern _Float32x y0f32x (_Float32x) noexcept (true); extern _Float32x __y0f32x (_Float32x) noexcept (true);
extern _Float32x y1f32x (_Float32x) noexcept (true); extern _Float32x __y1f32x (_Float32x) noexcept (true);
extern _Float32x ynf32x (int, _Float32x) noexcept (true); extern _Float32x __ynf32x (int, _Float32x) noexcept (true);





 extern _Float32x erff32x (_Float32x) noexcept (true); extern _Float32x __erff32x (_Float32x) noexcept (true);
 extern _Float32x erfcf32x (_Float32x) noexcept (true); extern _Float32x __erfcf32x (_Float32x) noexcept (true);
extern _Float32x lgammaf32x (_Float32x) noexcept (true); extern _Float32x __lgammaf32x (_Float32x) noexcept (true);




extern _Float32x tgammaf32x (_Float32x) noexcept (true); extern _Float32x __tgammaf32x (_Float32x) noexcept (true);
# 306 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float32x lgammaf32x_r (_Float32x, int *__signgamp) noexcept (true); extern _Float32x __lgammaf32x_r (_Float32x, int *__signgamp) noexcept (true);






extern _Float32x rintf32x (_Float32x __x) noexcept (true); extern _Float32x __rintf32x (_Float32x __x) noexcept (true);


extern _Float32x nextafterf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __nextafterf32x (_Float32x __x, _Float32x __y) noexcept (true);






extern _Float32x nextdownf32x (_Float32x __x) noexcept (true); extern _Float32x __nextdownf32x (_Float32x __x) noexcept (true);

extern _Float32x nextupf32x (_Float32x __x) noexcept (true); extern _Float32x __nextupf32x (_Float32x __x) noexcept (true);



extern _Float32x remainderf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __remainderf32x (_Float32x __x, _Float32x __y) noexcept (true);



extern _Float32x scalbnf32x (_Float32x __x, int __n) noexcept (true); extern _Float32x __scalbnf32x (_Float32x __x, int __n) noexcept (true);



extern int ilogbf32x (_Float32x __x) noexcept (true); extern int __ilogbf32x (_Float32x __x) noexcept (true);




extern long int llogbf32x (_Float32x __x) noexcept (true); extern long int __llogbf32x (_Float32x __x) noexcept (true);




extern _Float32x scalblnf32x (_Float32x __x, long int __n) noexcept (true); extern _Float32x __scalblnf32x (_Float32x __x, long int __n) noexcept (true);



extern _Float32x nearbyintf32x (_Float32x __x) noexcept (true); extern _Float32x __nearbyintf32x (_Float32x __x) noexcept (true);



extern _Float32x roundf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));



extern _Float32x truncf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));




extern _Float32x remquof32x (_Float32x __x, _Float32x __y, int *__quo) noexcept (true); extern _Float32x __remquof32x (_Float32x __x, _Float32x __y, int *__quo) noexcept (true);






extern long int lrintf32x (_Float32x __x) noexcept (true); extern long int __lrintf32x (_Float32x __x) noexcept (true);
__extension__
extern long long int llrintf32x (_Float32x __x) noexcept (true); extern long long int __llrintf32x (_Float32x __x) noexcept (true);



extern long int lroundf32x (_Float32x __x) noexcept (true); extern long int __lroundf32x (_Float32x __x) noexcept (true);
__extension__
extern long long int llroundf32x (_Float32x __x) noexcept (true); extern long long int __llroundf32x (_Float32x __x) noexcept (true);



extern _Float32x fdimf32x (_Float32x __x, _Float32x __y) noexcept (true); extern _Float32x __fdimf32x (_Float32x __x, _Float32x __y) noexcept (true);



extern _Float32x fmaxf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));



extern _Float32x fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) noexcept (true); extern _Float32x __fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) noexcept (true);




extern _Float32x roundevenf32x (_Float32x __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf32x (_Float32x __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef32x (_Float32x *__cx, const _Float32x *__x) noexcept (true);






extern _Float32x fmaxmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminmagf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));




extern _Float32x fmaximumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimumf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmaximum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimum_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmaximum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimum_magf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fmaximum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));


extern _Float32x fminimum_mag_numf32x (_Float32x __x, _Float32x __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf32x (const _Float32x *__x, const _Float32x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf32x (const _Float32x *__x, const _Float32x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float32x getpayloadf32x (const _Float32x *__x) noexcept (true); extern _Float32x __getpayloadf32x (const _Float32x *__x) noexcept (true);


extern int setpayloadf32x (_Float32x *__x, _Float32x __payload) noexcept (true);


extern int setpayloadsigf32x (_Float32x *__x, _Float32x __payload) noexcept (true);
# 471 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 487 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 1 3
# 53 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
 extern _Float64x acosf64x (_Float64x __x) noexcept (true); extern _Float64x __acosf64x (_Float64x __x) noexcept (true);

 extern _Float64x asinf64x (_Float64x __x) noexcept (true); extern _Float64x __asinf64x (_Float64x __x) noexcept (true);

 extern _Float64x atanf64x (_Float64x __x) noexcept (true); extern _Float64x __atanf64x (_Float64x __x) noexcept (true);

 extern _Float64x atan2f64x (_Float64x __y, _Float64x __x) noexcept (true); extern _Float64x __atan2f64x (_Float64x __y, _Float64x __x) noexcept (true);


 extern _Float64x cosf64x (_Float64x __x) noexcept (true); extern _Float64x __cosf64x (_Float64x __x) noexcept (true);

 extern _Float64x sinf64x (_Float64x __x) noexcept (true); extern _Float64x __sinf64x (_Float64x __x) noexcept (true);

 extern _Float64x tanf64x (_Float64x __x) noexcept (true); extern _Float64x __tanf64x (_Float64x __x) noexcept (true);



extern _Float64x acospif64x (_Float64x __x) noexcept (true); extern _Float64x __acospif64x (_Float64x __x) noexcept (true);
 extern _Float64x acospif64x (_Float64x __x) noexcept (true); extern _Float64x __acospif64x (_Float64x __x) noexcept (true);

extern _Float64x asinpif64x (_Float64x __x) noexcept (true); extern _Float64x __asinpif64x (_Float64x __x) noexcept (true);
 extern _Float64x asinpif64x (_Float64x __x) noexcept (true); extern _Float64x __asinpif64x (_Float64x __x) noexcept (true);

extern _Float64x atanpif64x (_Float64x __x) noexcept (true); extern _Float64x __atanpif64x (_Float64x __x) noexcept (true);
 extern _Float64x atanpif64x (_Float64x __x) noexcept (true); extern _Float64x __atanpif64x (_Float64x __x) noexcept (true);

extern _Float64x atan2pif64x (_Float64x __y, _Float64x __x) noexcept (true); extern _Float64x __atan2pif64x (_Float64x __y, _Float64x __x) noexcept (true);
 extern _Float64x atan2pif64x (_Float64x __y, _Float64x __x) noexcept (true); extern _Float64x __atan2pif64x (_Float64x __y, _Float64x __x) noexcept (true);


 extern _Float64x cospif64x (_Float64x __x) noexcept (true); extern _Float64x __cospif64x (_Float64x __x) noexcept (true);

 extern _Float64x sinpif64x (_Float64x __x) noexcept (true); extern _Float64x __sinpif64x (_Float64x __x) noexcept (true);

 extern _Float64x tanpif64x (_Float64x __x) noexcept (true); extern _Float64x __tanpif64x (_Float64x __x) noexcept (true);





 extern _Float64x coshf64x (_Float64x __x) noexcept (true); extern _Float64x __coshf64x (_Float64x __x) noexcept (true);

 extern _Float64x sinhf64x (_Float64x __x) noexcept (true); extern _Float64x __sinhf64x (_Float64x __x) noexcept (true);

 extern _Float64x tanhf64x (_Float64x __x) noexcept (true); extern _Float64x __tanhf64x (_Float64x __x) noexcept (true);



 extern void sincosf64x (_Float64x __x, _Float64x *__sinx, _Float64x *__cosx) noexcept (true); extern void __sincosf64x (_Float64x __x, _Float64x *__sinx, _Float64x *__cosx) noexcept (true)
                                                        ;




 extern _Float64x acoshf64x (_Float64x __x) noexcept (true); extern _Float64x __acoshf64x (_Float64x __x) noexcept (true);

 extern _Float64x asinhf64x (_Float64x __x) noexcept (true); extern _Float64x __asinhf64x (_Float64x __x) noexcept (true);

 extern _Float64x atanhf64x (_Float64x __x) noexcept (true); extern _Float64x __atanhf64x (_Float64x __x) noexcept (true);





 extern _Float64x expf64x (_Float64x __x) noexcept (true); extern _Float64x __expf64x (_Float64x __x) noexcept (true);


extern _Float64x frexpf64x (_Float64x __x, int *__exponent) noexcept (true); extern _Float64x __frexpf64x (_Float64x __x, int *__exponent) noexcept (true);


extern _Float64x ldexpf64x (_Float64x __x, int __exponent) noexcept (true); extern _Float64x __ldexpf64x (_Float64x __x, int __exponent) noexcept (true);


 extern _Float64x logf64x (_Float64x __x) noexcept (true); extern _Float64x __logf64x (_Float64x __x) noexcept (true);


 extern _Float64x log10f64x (_Float64x __x) noexcept (true); extern _Float64x __log10f64x (_Float64x __x) noexcept (true);


extern _Float64x modff64x (_Float64x __x, _Float64x *__iptr) noexcept (true); extern _Float64x __modff64x (_Float64x __x, _Float64x *__iptr) noexcept (true) __attribute__ ((__nonnull__ (2)));



 extern _Float64x exp10f64x (_Float64x __x) noexcept (true); extern _Float64x __exp10f64x (_Float64x __x) noexcept (true);


extern _Float64x exp2m1f64x (_Float64x __x) noexcept (true); extern _Float64x __exp2m1f64x (_Float64x __x) noexcept (true);


extern _Float64x exp10m1f64x (_Float64x __x) noexcept (true); extern _Float64x __exp10m1f64x (_Float64x __x) noexcept (true);


extern _Float64x log2p1f64x (_Float64x __x) noexcept (true); extern _Float64x __log2p1f64x (_Float64x __x) noexcept (true);


extern _Float64x log10p1f64x (_Float64x __x) noexcept (true); extern _Float64x __log10p1f64x (_Float64x __x) noexcept (true);


 extern _Float64x logp1f64x (_Float64x __x) noexcept (true); extern _Float64x __logp1f64x (_Float64x __x) noexcept (true);




 extern _Float64x expm1f64x (_Float64x __x) noexcept (true); extern _Float64x __expm1f64x (_Float64x __x) noexcept (true);


 extern _Float64x log1pf64x (_Float64x __x) noexcept (true); extern _Float64x __log1pf64x (_Float64x __x) noexcept (true);


extern _Float64x logbf64x (_Float64x __x) noexcept (true); extern _Float64x __logbf64x (_Float64x __x) noexcept (true);




 extern _Float64x exp2f64x (_Float64x __x) noexcept (true); extern _Float64x __exp2f64x (_Float64x __x) noexcept (true);


 extern _Float64x log2f64x (_Float64x __x) noexcept (true); extern _Float64x __log2f64x (_Float64x __x) noexcept (true);






 extern _Float64x powf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __powf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64x sqrtf64x (_Float64x __x) noexcept (true); extern _Float64x __sqrtf64x (_Float64x __x) noexcept (true);



 extern _Float64x hypotf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __hypotf64x (_Float64x __x, _Float64x __y) noexcept (true);




 extern _Float64x cbrtf64x (_Float64x __x) noexcept (true); extern _Float64x __cbrtf64x (_Float64x __x) noexcept (true);




extern _Float64x compoundnf64x (_Float64x __x, long long int __y) noexcept (true); extern _Float64x __compoundnf64x (_Float64x __x, long long int __y) noexcept (true);


extern _Float64x pownf64x (_Float64x __x, long long int __y) noexcept (true); extern _Float64x __pownf64x (_Float64x __x, long long int __y) noexcept (true);


extern _Float64x powrf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __powrf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64x rootnf64x (_Float64x __x, long long int __y) noexcept (true); extern _Float64x __rootnf64x (_Float64x __x, long long int __y) noexcept (true);


extern _Float64x rsqrtf64x (_Float64x __x) noexcept (true); extern _Float64x __rsqrtf64x (_Float64x __x) noexcept (true);






extern _Float64x ceilf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));


extern _Float64x fabsf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));


extern _Float64x floorf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmodf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __fmodf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 252 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float64x copysignf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));




extern _Float64x nanf64x (const char *__tagb) noexcept (true); extern _Float64x __nanf64x (const char *__tagb) noexcept (true);
# 274 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float64x j0f64x (_Float64x) noexcept (true); extern _Float64x __j0f64x (_Float64x) noexcept (true);
extern _Float64x j1f64x (_Float64x) noexcept (true); extern _Float64x __j1f64x (_Float64x) noexcept (true);
extern _Float64x jnf64x (int, _Float64x) noexcept (true); extern _Float64x __jnf64x (int, _Float64x) noexcept (true);
extern _Float64x y0f64x (_Float64x) noexcept (true); extern _Float64x __y0f64x (_Float64x) noexcept (true);
extern _Float64x y1f64x (_Float64x) noexcept (true); extern _Float64x __y1f64x (_Float64x) noexcept (true);
extern _Float64x ynf64x (int, _Float64x) noexcept (true); extern _Float64x __ynf64x (int, _Float64x) noexcept (true);





 extern _Float64x erff64x (_Float64x) noexcept (true); extern _Float64x __erff64x (_Float64x) noexcept (true);
 extern _Float64x erfcf64x (_Float64x) noexcept (true); extern _Float64x __erfcf64x (_Float64x) noexcept (true);
extern _Float64x lgammaf64x (_Float64x) noexcept (true); extern _Float64x __lgammaf64x (_Float64x) noexcept (true);




extern _Float64x tgammaf64x (_Float64x) noexcept (true); extern _Float64x __tgammaf64x (_Float64x) noexcept (true);
# 306 "/usr/aarch64-linux-gnu/include/bits/mathcalls.h" 3
extern _Float64x lgammaf64x_r (_Float64x, int *__signgamp) noexcept (true); extern _Float64x __lgammaf64x_r (_Float64x, int *__signgamp) noexcept (true);






extern _Float64x rintf64x (_Float64x __x) noexcept (true); extern _Float64x __rintf64x (_Float64x __x) noexcept (true);


extern _Float64x nextafterf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __nextafterf64x (_Float64x __x, _Float64x __y) noexcept (true);






extern _Float64x nextdownf64x (_Float64x __x) noexcept (true); extern _Float64x __nextdownf64x (_Float64x __x) noexcept (true);

extern _Float64x nextupf64x (_Float64x __x) noexcept (true); extern _Float64x __nextupf64x (_Float64x __x) noexcept (true);



extern _Float64x remainderf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __remainderf64x (_Float64x __x, _Float64x __y) noexcept (true);



extern _Float64x scalbnf64x (_Float64x __x, int __n) noexcept (true); extern _Float64x __scalbnf64x (_Float64x __x, int __n) noexcept (true);



extern int ilogbf64x (_Float64x __x) noexcept (true); extern int __ilogbf64x (_Float64x __x) noexcept (true);




extern long int llogbf64x (_Float64x __x) noexcept (true); extern long int __llogbf64x (_Float64x __x) noexcept (true);




extern _Float64x scalblnf64x (_Float64x __x, long int __n) noexcept (true); extern _Float64x __scalblnf64x (_Float64x __x, long int __n) noexcept (true);



extern _Float64x nearbyintf64x (_Float64x __x) noexcept (true); extern _Float64x __nearbyintf64x (_Float64x __x) noexcept (true);



extern _Float64x roundf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));



extern _Float64x truncf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));




extern _Float64x remquof64x (_Float64x __x, _Float64x __y, int *__quo) noexcept (true); extern _Float64x __remquof64x (_Float64x __x, _Float64x __y, int *__quo) noexcept (true);






extern long int lrintf64x (_Float64x __x) noexcept (true); extern long int __lrintf64x (_Float64x __x) noexcept (true);
__extension__
extern long long int llrintf64x (_Float64x __x) noexcept (true); extern long long int __llrintf64x (_Float64x __x) noexcept (true);



extern long int lroundf64x (_Float64x __x) noexcept (true); extern long int __lroundf64x (_Float64x __x) noexcept (true);
__extension__
extern long long int llroundf64x (_Float64x __x) noexcept (true); extern long long int __llroundf64x (_Float64x __x) noexcept (true);



extern _Float64x fdimf64x (_Float64x __x, _Float64x __y) noexcept (true); extern _Float64x __fdimf64x (_Float64x __x, _Float64x __y) noexcept (true);



extern _Float64x fmaxf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));



extern _Float64x fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true); extern _Float64x __fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);




extern _Float64x roundevenf64x (_Float64x __x) noexcept (true) __attribute__ ((__const__));



extern __intmax_t fromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                            ;



extern __uintmax_t ufromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                              ;




extern __intmax_t fromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __intmax_t __fromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                             ;




extern __uintmax_t ufromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true); extern __uintmax_t __ufromfpxf64x (_Float64x __x, int __round, unsigned int __width) noexcept (true)
                               ;


extern int canonicalizef64x (_Float64x *__cx, const _Float64x *__x) noexcept (true);






extern _Float64x fmaxmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminmagf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));




extern _Float64x fmaximumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimumf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmaximum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimum_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmaximum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimum_magf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fmaximum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));


extern _Float64x fminimum_mag_numf64x (_Float64x __x, _Float64x __y) noexcept (true) __attribute__ ((__const__));




extern int totalorderf64x (const _Float64x *__x, const _Float64x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern int totalordermagf64x (const _Float64x *__x, const _Float64x *__y) noexcept (true)

     __attribute__ ((__pure__));


extern _Float64x getpayloadf64x (const _Float64x *__x) noexcept (true); extern _Float64x __getpayloadf64x (const _Float64x *__x) noexcept (true);


extern int setpayloadf64x (_Float64x *__x, _Float64x __payload) noexcept (true);


extern int setpayloadsigf64x (_Float64x *__x, _Float64x __payload) noexcept (true);
# 488 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 535 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern float fadd (double __x, double __y) noexcept (true);


extern float fdiv (double __x, double __y) noexcept (true);


extern float ffma (double __x, double __y, double __z) noexcept (true);


extern float fmul (double __x, double __y) noexcept (true);


extern float fsqrt (double __x) noexcept (true);


extern float fsub (double __x, double __y) noexcept (true);
# 536 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 556 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern float faddl (long double __x, long double __y) noexcept (true);


extern float fdivl (long double __x, long double __y) noexcept (true);


extern float ffmal (long double __x, long double __y, long double __z) noexcept (true);


extern float fmull (long double __x, long double __y) noexcept (true);


extern float fsqrtl (long double __x) noexcept (true);


extern float fsubl (long double __x, long double __y) noexcept (true);
# 557 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 585 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern double daddl (long double __x, long double __y) noexcept (true);


extern double ddivl (long double __x, long double __y) noexcept (true);


extern double dfmal (long double __x, long double __y, long double __z) noexcept (true);


extern double dmull (long double __x, long double __y) noexcept (true);


extern double dsqrtl (long double __x) noexcept (true);


extern double dsubl (long double __x, long double __y) noexcept (true);
# 586 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 666 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float32 f32addf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32 f32divf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32 f32fmaf32x (_Float32x __x, _Float32x __y, _Float32x __z) noexcept (true);


extern _Float32 f32mulf32x (_Float32x __x, _Float32x __y) noexcept (true);


extern _Float32 f32sqrtf32x (_Float32x __x) noexcept (true);


extern _Float32 f32subf32x (_Float32x __x, _Float32x __y) noexcept (true);
# 667 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 676 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float32 f32addf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32 f32divf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32 f32fmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true);


extern _Float32 f32mulf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32 f32sqrtf64 (_Float64 __x) noexcept (true);


extern _Float32 f32subf64 (_Float64 __x, _Float64 __y) noexcept (true);
# 677 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 686 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float32 f32addf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32 f32divf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32 f32fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);


extern _Float32 f32mulf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32 f32sqrtf64x (_Float64x __x) noexcept (true);


extern _Float32 f32subf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 687 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 696 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float32 f32addf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32 f32divf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32 f32fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float32 f32mulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32 f32sqrtf128 (_Float128 __x) noexcept (true);


extern _Float32 f32subf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 697 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 716 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float32x f32xaddf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32x f32xdivf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32x f32xfmaf64 (_Float64 __x, _Float64 __y, _Float64 __z) noexcept (true);


extern _Float32x f32xmulf64 (_Float64 __x, _Float64 __y) noexcept (true);


extern _Float32x f32xsqrtf64 (_Float64 __x) noexcept (true);


extern _Float32x f32xsubf64 (_Float64 __x, _Float64 __y) noexcept (true);
# 717 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 726 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float32x f32xaddf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32x f32xdivf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32x f32xfmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);


extern _Float32x f32xmulf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float32x f32xsqrtf64x (_Float64x __x) noexcept (true);


extern _Float32x f32xsubf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 727 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 736 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float32x f32xaddf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32x f32xdivf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32x f32xfmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float32x f32xmulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float32x f32xsqrtf128 (_Float128 __x) noexcept (true);


extern _Float32x f32xsubf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 737 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 756 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float64 f64addf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64 f64divf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64 f64fmaf64x (_Float64x __x, _Float64x __y, _Float64x __z) noexcept (true);


extern _Float64 f64mulf64x (_Float64x __x, _Float64x __y) noexcept (true);


extern _Float64 f64sqrtf64x (_Float64x __x) noexcept (true);


extern _Float64 f64subf64x (_Float64x __x, _Float64x __y) noexcept (true);
# 757 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 766 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float64 f64addf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64 f64divf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64 f64fmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float64 f64mulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64 f64sqrtf128 (_Float128 __x) noexcept (true);


extern _Float64 f64subf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 767 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 786 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 1 3
# 24 "/usr/aarch64-linux-gnu/include/bits/mathcalls-narrow.h" 3
extern _Float64x f64xaddf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64x f64xdivf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64x f64xfmaf128 (_Float128 __x, _Float128 __y, _Float128 __z) noexcept (true);


extern _Float64x f64xmulf128 (_Float128 __x, _Float128 __y) noexcept (true);


extern _Float64x f64xsqrtf128 (_Float128 __x) noexcept (true);


extern _Float64x f64xsubf128 (_Float128 __x, _Float128 __y) noexcept (true);
# 787 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 823 "/usr/aarch64-linux-gnu/include/math.h" 3
extern int signgam;
# 903 "/usr/aarch64-linux-gnu/include/math.h" 3
enum
  {
    FP_NAN =

      0,
    FP_INFINITE =

      1,
    FP_ZERO =

      2,
    FP_SUBNORMAL =

      3,
    FP_NORMAL =

      4
  };
# 1024 "/usr/aarch64-linux-gnu/include/math.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/iscanonical.h" 1 3
# 1025 "/usr/aarch64-linux-gnu/include/math.h" 2 3
# 1036 "/usr/aarch64-linux-gnu/include/math.h" 3
extern "C++" {
inline int issignaling (float __val) { return __issignalingf (__val); }
inline int issignaling (double __val) { return __issignaling (__val); }
inline int
issignaling (long double __val)
{



  return __issignalingl (__val);

}





}
# 1067 "/usr/aarch64-linux-gnu/include/math.h" 3
extern "C++" {
# 1098 "/usr/aarch64-linux-gnu/include/math.h" 3
template <class __T> inline bool
iszero (__T __val)
{
  return __val == 0;
}

}
# 1333 "/usr/aarch64-linux-gnu/include/math.h" 3
extern "C++" {
template<typename> struct __iseqsig_type;

template<> struct __iseqsig_type<float>
{
  static int __call (float __x, float __y) throw ()
  {
    return __iseqsigf (__x, __y);
  }
};

template<> struct __iseqsig_type<double>
{
  static int __call (double __x, double __y) throw ()
  {
    return __iseqsig (__x, __y);
  }
};

template<> struct __iseqsig_type<long double>
{
  static int __call (long double __x, long double __y) throw ()
  {

    return __iseqsigl (__x, __y);



  }
};


template<> struct __iseqsig_type<_Float32>
{
  static int __call (_Float32 __x, _Float32 __y) throw ()
  {
    return __iseqsigf (__x, __y);
  }
};



template<> struct __iseqsig_type<_Float64>
{
  static int __call (_Float64 __x, _Float64 __y) throw ()
  {
    return __iseqsig (__x, __y);
  }
};





template<> struct __iseqsig_type<_Float128>
{
  static int __call (_Float128 __x, _Float128 __y) throw ()
  {



    return __iseqsigl (__x, __y);

  }
};



template<> struct __iseqsig_type<_Float32x>
{
  static int __call (_Float32x __x, _Float32x __y) throw ()
  {
    return __iseqsig (__x, __y);
  }
};



template<> struct __iseqsig_type<_Float64x>
{
  static int __call (_Float64x __x, _Float64x __y) throw ()
  {

    return __iseqsigl (__x, __y);



  }
};


template<typename _T1, typename _T2>
inline int
iseqsig (_T1 __x, _T2 __y) throw ()
{

  typedef decltype (((__x) + (__y) + 0.0f)) _T3;



  return __iseqsig_type<_T3>::__call (__x, __y);
}

}




}
# 56 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 2 3

 
# 57 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3
#pragma GCC diagnostic pop





# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/version.h" 1 3
# 64 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 2 3
# 90 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3
extern "C++"
{
namespace std __attribute__ ((__visibility__ ("default")))
{


  using ::acos;


  inline constexpr float
  acos(float __x)
  { return __builtin_acosf(__x); }

  inline constexpr long double
  acos(long double __x)
  { return __builtin_acosl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    acos(_Tp __x)
    { return __builtin_acos(__x); }

  using ::asin;


  inline constexpr float
  asin(float __x)
  { return __builtin_asinf(__x); }

  inline constexpr long double
  asin(long double __x)
  { return __builtin_asinl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    asin(_Tp __x)
    { return __builtin_asin(__x); }

  using ::atan;


  inline constexpr float
  atan(float __x)
  { return __builtin_atanf(__x); }

  inline constexpr long double
  atan(long double __x)
  { return __builtin_atanl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    atan(_Tp __x)
    { return __builtin_atan(__x); }

  using ::atan2;


  inline constexpr float
  atan2(float __y, float __x)
  { return __builtin_atan2f(__y, __x); }

  inline constexpr long double
  atan2(long double __y, long double __x)
  { return __builtin_atan2l(__y, __x); }


  using ::ceil;


  inline constexpr float
  ceil(float __x)
  { return __builtin_ceilf(__x); }

  inline constexpr long double
  ceil(long double __x)
  { return __builtin_ceill(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    ceil(_Tp __x)
    { return __builtin_ceil(__x); }

  using ::cos;


  inline constexpr float
  cos(float __x)
  { return __builtin_cosf(__x); }

  inline constexpr long double
  cos(long double __x)
  { return __builtin_cosl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    cos(_Tp __x)
    { return __builtin_cos(__x); }

  using ::cosh;


  inline constexpr float
  cosh(float __x)
  { return __builtin_coshf(__x); }

  inline constexpr long double
  cosh(long double __x)
  { return __builtin_coshl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    cosh(_Tp __x)
    { return __builtin_cosh(__x); }

  using ::exp;


  inline constexpr float
  exp(float __x)
  { return __builtin_expf(__x); }

  inline constexpr long double
  exp(long double __x)
  { return __builtin_expl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    exp(_Tp __x)
    { return __builtin_exp(__x); }

  using ::fabs;


  inline constexpr float
  fabs(float __x)
  { return __builtin_fabsf(__x); }

  inline constexpr long double
  fabs(long double __x)
  { return __builtin_fabsl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    fabs(_Tp __x)
    { return __builtin_fabs(__x); }

  using ::floor;


  inline constexpr float
  floor(float __x)
  { return __builtin_floorf(__x); }

  inline constexpr long double
  floor(long double __x)
  { return __builtin_floorl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    floor(_Tp __x)
    { return __builtin_floor(__x); }

  using ::fmod;


  inline constexpr float
  fmod(float __x, float __y)
  { return __builtin_fmodf(__x, __y); }

  inline constexpr long double
  fmod(long double __x, long double __y)
  { return __builtin_fmodl(__x, __y); }


  using ::frexp;


  inline float
  frexp(float __x, int* __exp)
  { return __builtin_frexpf(__x, __exp); }

  inline long double
  frexp(long double __x, int* __exp)
  { return __builtin_frexpl(__x, __exp); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    frexp(_Tp __x, int* __exp)
    { return __builtin_frexp(__x, __exp); }

  using ::ldexp;


  inline constexpr float
  ldexp(float __x, int __exp)
  { return __builtin_ldexpf(__x, __exp); }

  inline constexpr long double
  ldexp(long double __x, int __exp)
  { return __builtin_ldexpl(__x, __exp); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    ldexp(_Tp __x, int __exp)
    { return __builtin_ldexp(__x, __exp); }

  using ::log;


  inline constexpr float
  log(float __x)
  { return __builtin_logf(__x); }

  inline constexpr long double
  log(long double __x)
  { return __builtin_logl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    log(_Tp __x)
    { return __builtin_log(__x); }

  using ::log10;


  inline constexpr float
  log10(float __x)
  { return __builtin_log10f(__x); }

  inline constexpr long double
  log10(long double __x)
  { return __builtin_log10l(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    log10(_Tp __x)
    { return __builtin_log10(__x); }

  using ::modf;


  inline float
  modf(float __x, float* __iptr)
  { return __builtin_modff(__x, __iptr); }

  inline long double
  modf(long double __x, long double* __iptr)
  { return __builtin_modfl(__x, __iptr); }


  using ::pow;


  inline constexpr float
  pow(float __x, float __y)
  { return __builtin_powf(__x, __y); }

  inline constexpr long double
  pow(long double __x, long double __y)
  { return __builtin_powl(__x, __y); }
# 407 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3
  using ::sin;


  inline constexpr float
  sin(float __x)
  { return __builtin_sinf(__x); }

  inline constexpr long double
  sin(long double __x)
  { return __builtin_sinl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sin(_Tp __x)
    { return __builtin_sin(__x); }

  using ::sinh;


  inline constexpr float
  sinh(float __x)
  { return __builtin_sinhf(__x); }

  inline constexpr long double
  sinh(long double __x)
  { return __builtin_sinhl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sinh(_Tp __x)
    { return __builtin_sinh(__x); }

  using ::sqrt;


  inline constexpr float
  sqrt(float __x)
  { return __builtin_sqrtf(__x); }

  inline constexpr long double
  sqrt(long double __x)
  { return __builtin_sqrtl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    sqrt(_Tp __x)
    { return __builtin_sqrt(__x); }

  using ::tan;


  inline constexpr float
  tan(float __x)
  { return __builtin_tanf(__x); }

  inline constexpr long double
  tan(long double __x)
  { return __builtin_tanl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    tan(_Tp __x)
    { return __builtin_tan(__x); }

  using ::tanh;


  inline constexpr float
  tanh(float __x)
  { return __builtin_tanhf(__x); }

  inline constexpr long double
  tanh(long double __x)
  { return __builtin_tanhl(__x); }


  template<typename _Tp>
    inline constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    double>::__type
    tanh(_Tp __x)
    { return __builtin_tanh(__x); }
# 1060 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3
  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    atan2(_Tp __y, _Up __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return atan2(__type(__y), __type(__x));
    }

  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmod(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmod(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    inline constexpr
    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    pow(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return pow(__type(__x), __type(__y));
    }
# 1107 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3
  constexpr int
  fpclassify(float __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }

  constexpr int
  fpclassify(double __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }

  constexpr int
  fpclassify(long double __x)
  { return __builtin_fpclassify(0, 1, 4,
    3, 2, __x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              int>::__type
    fpclassify(_Tp __x)
    { return __x != 0 ? 4 : 2; }



  constexpr bool
  isfinite(float __x)
  { return __builtin_isfinite(__x); }

  constexpr bool
  isfinite(double __x)
  { return __builtin_isfinite(__x); }

  constexpr bool
  isfinite(long double __x)
  { return __builtin_isfinite(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isfinite(_Tp)
    { return true; }



  constexpr bool
  isinf(float __x)
  { return __builtin_isinf(__x); }





  constexpr bool
  isinf(double __x)
  { return __builtin_isinf(__x); }


  constexpr bool
  isinf(long double __x)
  { return __builtin_isinf(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isinf(_Tp)
    { return false; }



  constexpr bool
  isnan(float __x)
  { return __builtin_isnan(__x); }





  constexpr bool
  isnan(double __x)
  { return __builtin_isnan(__x); }


  constexpr bool
  isnan(long double __x)
  { return __builtin_isnan(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isnan(_Tp)
    { return false; }



  constexpr bool
  isnormal(float __x)
  { return __builtin_isnormal(__x); }

  constexpr bool
  isnormal(double __x)
  { return __builtin_isnormal(__x); }

  constexpr bool
  isnormal(long double __x)
  { return __builtin_isnormal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    isnormal(_Tp __x)
    { return __x != 0 ? true : false; }




  constexpr bool
  signbit(float __x)
  { return __builtin_signbit(__x); }

  constexpr bool
  signbit(double __x)
  { return __builtin_signbit(__x); }

  constexpr bool
  signbit(long double __x)
  { return __builtin_signbit(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              bool>::__type
    signbit(_Tp __x)
    { return __x < 0 ? true : false; }



  constexpr bool
  isgreater(float __x, float __y)
  { return __builtin_isgreater(__x, __y); }

  constexpr bool
  isgreater(double __x, double __y)
  { return __builtin_isgreater(__x, __y); }

  constexpr bool
  isgreater(long double __x, long double __y)
  { return __builtin_isgreater(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isgreater(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isgreater(__type(__x), __type(__y));
    }



  constexpr bool
  isgreaterequal(float __x, float __y)
  { return __builtin_isgreaterequal(__x, __y); }

  constexpr bool
  isgreaterequal(double __x, double __y)
  { return __builtin_isgreaterequal(__x, __y); }

  constexpr bool
  isgreaterequal(long double __x, long double __y)
  { return __builtin_isgreaterequal(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isgreaterequal(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isgreaterequal(__type(__x), __type(__y));
    }



  constexpr bool
  isless(float __x, float __y)
  { return __builtin_isless(__x, __y); }

  constexpr bool
  isless(double __x, double __y)
  { return __builtin_isless(__x, __y); }

  constexpr bool
  isless(long double __x, long double __y)
  { return __builtin_isless(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isless(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isless(__type(__x), __type(__y));
    }



  constexpr bool
  islessequal(float __x, float __y)
  { return __builtin_islessequal(__x, __y); }

  constexpr bool
  islessequal(double __x, double __y)
  { return __builtin_islessequal(__x, __y); }

  constexpr bool
  islessequal(long double __x, long double __y)
  { return __builtin_islessequal(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    islessequal(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_islessequal(__type(__x), __type(__y));
    }



  constexpr bool
  islessgreater(float __x, float __y)
  { return __builtin_islessgreater(__x, __y); }

  constexpr bool
  islessgreater(double __x, double __y)
  { return __builtin_islessgreater(__x, __y); }

  constexpr bool
  islessgreater(long double __x, long double __y)
  { return __builtin_islessgreater(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    islessgreater(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_islessgreater(__type(__x), __type(__y));
    }



  constexpr bool
  isunordered(float __x, float __y)
  { return __builtin_isunordered(__x, __y); }

  constexpr bool
  isunordered(double __x, double __y)
  { return __builtin_isunordered(__x, __y); }

  constexpr bool
  isunordered(long double __x, long double __y)
  { return __builtin_isunordered(__x, __y); }



  template<typename _Tp, typename _Up>
    constexpr typename
    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
       && __is_arithmetic<_Up>::__value), bool>::__type
    isunordered(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return __builtin_isunordered(__type(__x), __type(__y));
    }
# 1827 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3
  using ::acosf;


  using ::acosl;



  using ::asinf;


  using ::asinl;



  using ::atanf;


  using ::atanl;



  using ::atan2f;


  using ::atan2l;



  using ::ceilf;


  using ::ceill;



  using ::cosf;


  using ::cosl;



  using ::coshf;


  using ::coshl;



  using ::expf;


  using ::expl;



  using ::fabsf;


  using ::fabsl;



  using ::floorf;


  using ::floorl;



  using ::fmodf;


  using ::fmodl;



  using ::frexpf;


  using ::frexpl;



  using ::ldexpf;


  using ::ldexpl;



  using ::logf;


  using ::logl;



  using ::log10f;


  using ::log10l;



  using ::modff;


  using ::modfl;



  using ::powf;


  using ::powl;



  using ::sinf;


  using ::sinl;



  using ::sinhf;


  using ::sinhl;



  using ::sqrtf;


  using ::sqrtl;



  using ::tanf;


  using ::tanl;



  using ::tanhf;


  using ::tanhl;
# 2092 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3
  using ::double_t;
  using ::float_t;



  using ::acosh;
  using ::acoshf;
  using ::acoshl;

  using ::asinh;
  using ::asinhf;
  using ::asinhl;

  using ::atanh;
  using ::atanhf;
  using ::atanhl;

  using ::cbrt;
  using ::cbrtf;
  using ::cbrtl;

  using ::copysign;
  using ::copysignf;
  using ::copysignl;

  using ::erf;
  using ::erff;
  using ::erfl;

  using ::erfc;
  using ::erfcf;
  using ::erfcl;

  using ::exp2;
  using ::exp2f;
  using ::exp2l;

  using ::expm1;
  using ::expm1f;
  using ::expm1l;

  using ::fdim;
  using ::fdimf;
  using ::fdiml;

  using ::fma;
  using ::fmaf;
  using ::fmal;

  using ::fmax;
  using ::fmaxf;
  using ::fmaxl;

  using ::fmin;
  using ::fminf;
  using ::fminl;

  using ::hypot;
  using ::hypotf;
  using ::hypotl;

  using ::ilogb;
  using ::ilogbf;
  using ::ilogbl;

  using ::lgamma;
  using ::lgammaf;
  using ::lgammal;


  using ::llrint;
  using ::llrintf;
  using ::llrintl;

  using ::llround;
  using ::llroundf;
  using ::llroundl;


  using ::log1p;
  using ::log1pf;
  using ::log1pl;

  using ::log2;
  using ::log2f;
  using ::log2l;

  using ::logb;
  using ::logbf;
  using ::logbl;

  using ::lrint;
  using ::lrintf;
  using ::lrintl;

  using ::lround;
  using ::lroundf;
  using ::lroundl;

  using ::nan;
  using ::nanf;
  using ::nanl;

  using ::nearbyint;
  using ::nearbyintf;
  using ::nearbyintl;

  using ::nextafter;
  using ::nextafterf;
  using ::nextafterl;

  using ::nexttoward;
  using ::nexttowardf;
  using ::nexttowardl;

  using ::remainder;
  using ::remainderf;
  using ::remainderl;

  using ::remquo;
  using ::remquof;
  using ::remquol;

  using ::rint;
  using ::rintf;
  using ::rintl;

  using ::round;
  using ::roundf;
  using ::roundl;

  using ::scalbln;
  using ::scalblnf;
  using ::scalblnl;

  using ::scalbn;
  using ::scalbnf;
  using ::scalbnl;

  using ::tgamma;
  using ::tgammaf;
  using ::tgammal;

  using ::trunc;
  using ::truncf;
  using ::truncl;



  constexpr float
  acosh(float __x)
  { return __builtin_acoshf(__x); }

  constexpr long double
  acosh(long double __x)
  { return __builtin_acoshl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    acosh(_Tp __x)
    { return __builtin_acosh(__x); }



  constexpr float
  asinh(float __x)
  { return __builtin_asinhf(__x); }

  constexpr long double
  asinh(long double __x)
  { return __builtin_asinhl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    asinh(_Tp __x)
    { return __builtin_asinh(__x); }



  constexpr float
  atanh(float __x)
  { return __builtin_atanhf(__x); }

  constexpr long double
  atanh(long double __x)
  { return __builtin_atanhl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    atanh(_Tp __x)
    { return __builtin_atanh(__x); }



  constexpr float
  cbrt(float __x)
  { return __builtin_cbrtf(__x); }

  constexpr long double
  cbrt(long double __x)
  { return __builtin_cbrtl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    cbrt(_Tp __x)
    { return __builtin_cbrt(__x); }



  constexpr float
  copysign(float __x, float __y)
  { return __builtin_copysignf(__x, __y); }

  constexpr long double
  copysign(long double __x, long double __y)
  { return __builtin_copysignl(__x, __y); }



  constexpr float
  erf(float __x)
  { return __builtin_erff(__x); }

  constexpr long double
  erf(long double __x)
  { return __builtin_erfl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    erf(_Tp __x)
    { return __builtin_erf(__x); }



  constexpr float
  erfc(float __x)
  { return __builtin_erfcf(__x); }

  constexpr long double
  erfc(long double __x)
  { return __builtin_erfcl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    erfc(_Tp __x)
    { return __builtin_erfc(__x); }



  constexpr float
  exp2(float __x)
  { return __builtin_exp2f(__x); }

  constexpr long double
  exp2(long double __x)
  { return __builtin_exp2l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    exp2(_Tp __x)
    { return __builtin_exp2(__x); }



  constexpr float
  expm1(float __x)
  { return __builtin_expm1f(__x); }

  constexpr long double
  expm1(long double __x)
  { return __builtin_expm1l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    expm1(_Tp __x)
    { return __builtin_expm1(__x); }



  constexpr float
  fdim(float __x, float __y)
  { return __builtin_fdimf(__x, __y); }

  constexpr long double
  fdim(long double __x, long double __y)
  { return __builtin_fdiml(__x, __y); }



  constexpr float
  fma(float __x, float __y, float __z)
  { return __builtin_fmaf(__x, __y, __z); }

  constexpr long double
  fma(long double __x, long double __y, long double __z)
  { return __builtin_fmal(__x, __y, __z); }



  constexpr float
  fmax(float __x, float __y)
  { return __builtin_fmaxf(__x, __y); }

  constexpr long double
  fmax(long double __x, long double __y)
  { return __builtin_fmaxl(__x, __y); }



  constexpr float
  fmin(float __x, float __y)
  { return __builtin_fminf(__x, __y); }

  constexpr long double
  fmin(long double __x, long double __y)
  { return __builtin_fminl(__x, __y); }



  constexpr float
  hypot(float __x, float __y)
  { return __builtin_hypotf(__x, __y); }

  constexpr long double
  hypot(long double __x, long double __y)
  { return __builtin_hypotl(__x, __y); }



  constexpr int
  ilogb(float __x)
  { return __builtin_ilogbf(__x); }

  constexpr int
  ilogb(long double __x)
  { return __builtin_ilogbl(__x); }



  template<typename _Tp>
    constexpr
    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                    int>::__type
    ilogb(_Tp __x)
    { return __builtin_ilogb(__x); }



  constexpr float
  lgamma(float __x)
  { return __builtin_lgammaf(__x); }

  constexpr long double
  lgamma(long double __x)
  { return __builtin_lgammal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    lgamma(_Tp __x)
    { return __builtin_lgamma(__x); }



  constexpr long long
  llrint(float __x)
  { return __builtin_llrintf(__x); }

  constexpr long long
  llrint(long double __x)
  { return __builtin_llrintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long long>::__type
    llrint(_Tp __x)
    { return __builtin_llrint(__x); }



  constexpr long long
  llround(float __x)
  { return __builtin_llroundf(__x); }

  constexpr long long
  llround(long double __x)
  { return __builtin_llroundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long long>::__type
    llround(_Tp __x)
    { return __builtin_llround(__x); }



  constexpr float
  log1p(float __x)
  { return __builtin_log1pf(__x); }

  constexpr long double
  log1p(long double __x)
  { return __builtin_log1pl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    log1p(_Tp __x)
    { return __builtin_log1p(__x); }




  constexpr float
  log2(float __x)
  { return __builtin_log2f(__x); }

  constexpr long double
  log2(long double __x)
  { return __builtin_log2l(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    log2(_Tp __x)
    { return __builtin_log2(__x); }



  constexpr float
  logb(float __x)
  { return __builtin_logbf(__x); }

  constexpr long double
  logb(long double __x)
  { return __builtin_logbl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    logb(_Tp __x)
    { return __builtin_logb(__x); }



  constexpr long
  lrint(float __x)
  { return __builtin_lrintf(__x); }

  constexpr long
  lrint(long double __x)
  { return __builtin_lrintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long>::__type
    lrint(_Tp __x)
    { return __builtin_lrint(__x); }



  constexpr long
  lround(float __x)
  { return __builtin_lroundf(__x); }

  constexpr long
  lround(long double __x)
  { return __builtin_lroundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              long>::__type
    lround(_Tp __x)
    { return __builtin_lround(__x); }



  constexpr float
  nearbyint(float __x)
  { return __builtin_nearbyintf(__x); }

  constexpr long double
  nearbyint(long double __x)
  { return __builtin_nearbyintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    nearbyint(_Tp __x)
    { return __builtin_nearbyint(__x); }



  constexpr float
  nextafter(float __x, float __y)
  { return __builtin_nextafterf(__x, __y); }

  constexpr long double
  nextafter(long double __x, long double __y)
  { return __builtin_nextafterl(__x, __y); }



  constexpr float
  nexttoward(float __x, long double __y)
  { return __builtin_nexttowardf(__x, __y); }

  constexpr long double
  nexttoward(long double __x, long double __y)
  { return __builtin_nexttowardl(__x, __y); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    nexttoward(_Tp __x, long double __y)
    { return __builtin_nexttoward(__x, __y); }



  constexpr float
  remainder(float __x, float __y)
  { return __builtin_remainderf(__x, __y); }

  constexpr long double
  remainder(long double __x, long double __y)
  { return __builtin_remainderl(__x, __y); }



  inline float
  remquo(float __x, float __y, int* __pquo)
  { return __builtin_remquof(__x, __y, __pquo); }

  inline long double
  remquo(long double __x, long double __y, int* __pquo)
  { return __builtin_remquol(__x, __y, __pquo); }



  constexpr float
  rint(float __x)
  { return __builtin_rintf(__x); }

  constexpr long double
  rint(long double __x)
  { return __builtin_rintl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    rint(_Tp __x)
    { return __builtin_rint(__x); }



  constexpr float
  round(float __x)
  { return __builtin_roundf(__x); }

  constexpr long double
  round(long double __x)
  { return __builtin_roundl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    round(_Tp __x)
    { return __builtin_round(__x); }



  constexpr float
  scalbln(float __x, long __ex)
  { return __builtin_scalblnf(__x, __ex); }

  constexpr long double
  scalbln(long double __x, long __ex)
  { return __builtin_scalblnl(__x, __ex); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    scalbln(_Tp __x, long __ex)
    { return __builtin_scalbln(__x, __ex); }



  constexpr float
  scalbn(float __x, int __ex)
  { return __builtin_scalbnf(__x, __ex); }

  constexpr long double
  scalbn(long double __x, int __ex)
  { return __builtin_scalbnl(__x, __ex); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    scalbn(_Tp __x, int __ex)
    { return __builtin_scalbn(__x, __ex); }



  constexpr float
  tgamma(float __x)
  { return __builtin_tgammaf(__x); }

  constexpr long double
  tgamma(long double __x)
  { return __builtin_tgammal(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    tgamma(_Tp __x)
    { return __builtin_tgamma(__x); }



  constexpr float
  trunc(float __x)
  { return __builtin_truncf(__x); }

  constexpr long double
  trunc(long double __x)
  { return __builtin_truncl(__x); }



  template<typename _Tp>
    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
                                              double>::__type
    trunc(_Tp __x)
    { return __builtin_trunc(__x); }
# 3689 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3
  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    copysign(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return copysign(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fdim(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fdim(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmax(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmax(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    fmin(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return fmin(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    hypot(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return hypot(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    nextafter(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return nextafter(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    remainder(_Tp __x, _Up __y)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return remainder(__type(__x), __type(__y));
    }

  template<typename _Tp, typename _Up>
    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
    remquo(_Tp __x, _Up __y, int* __pquo)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
      return remquo(__type(__x), __type(__y), __pquo);
    }

  template<typename _Tp, typename _Up, typename _Vp>
    constexpr typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
    fma(_Tp __x, _Up __y, _Vp __z)
    {
      typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
      return fma(__type(__x), __type(__y), __type(__z));
    }







  template<typename _Tp>
    inline _Tp
    __hypot3(_Tp __x, _Tp __y, _Tp __z)
    {
      __x = std::abs(__x);
      __y = std::abs(__y);
      __z = std::abs(__z);
      if (_Tp __a = __x < __y ? __y < __z ? __z : __y : __x < __z ? __z : __x)
 return __a * std::sqrt((__x / __a) * (__x / __a)
          + (__y / __a) * (__y / __a)
          + (__z / __a) * (__z / __a));
      else
 return {};
    }

  inline float
  hypot(float __x, float __y, float __z)
  { return std::__hypot3<float>(__x, __y, __z); }

  inline double
  hypot(double __x, double __y, double __z)
  { return std::__hypot3<double>(__x, __y, __z); }

  inline long double
  hypot(long double __x, long double __y, long double __z)
  { return std::__hypot3<long double>(__x, __y, __z); }

  template<typename _Tp, typename _Up, typename _Vp>
    typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
    hypot(_Tp __x, _Up __y, _Vp __z)
    {
      using __type = typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type;
      return std::__hypot3<__type>(__x, __y, __z);
    }
# 3909 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 3

}


# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 1 3
# 37 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/version.h" 1 3
# 38 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3





# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 1 3
# 60 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/functexcept.h" 1 3
# 40 "/usr/aarch64-linux-gnu/include/c++/15/bits/functexcept.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/exception_defines.h" 1 3
# 41 "/usr/aarch64-linux-gnu/include/c++/15/bits/functexcept.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{




  void
  __throw_bad_exception(void) __attribute__((__noreturn__));


  void
  __throw_bad_alloc(void) __attribute__((__noreturn__));

  void
  __throw_bad_array_new_length(void) __attribute__((__noreturn__));


  void
  __throw_bad_cast(void) __attribute__((__noreturn__,__cold__));

  void
  __throw_bad_typeid(void) __attribute__((__noreturn__,__cold__));


  void
  __throw_logic_error(const char*) __attribute__((__noreturn__,__cold__));

  void
  __throw_domain_error(const char*) __attribute__((__noreturn__,__cold__));

  void
  __throw_invalid_argument(const char*) __attribute__((__noreturn__,__cold__));

  void
  __throw_length_error(const char*) __attribute__((__noreturn__,__cold__));

  void
  __throw_out_of_range(const char*) __attribute__((__noreturn__,__cold__));

  void
  __throw_out_of_range_fmt(const char*, ...) __attribute__((__noreturn__,__cold__))
    __attribute__((__format__(__gnu_printf__, 1, 2)));

  void
  __throw_runtime_error(const char*) __attribute__((__noreturn__,__cold__));

  void
  __throw_range_error(const char*) __attribute__((__noreturn__,__cold__));

  void
  __throw_overflow_error(const char*) __attribute__((__noreturn__,__cold__));

  void
  __throw_underflow_error(const char*) __attribute__((__noreturn__,__cold__));


  void
  __throw_ios_failure(const char*) __attribute__((__noreturn__,__cold__));

  void
  __throw_ios_failure(const char*, int) __attribute__((__noreturn__,__cold__));


  void
  __throw_system_error(int) __attribute__((__noreturn__,__cold__));


  void
  __throw_future_error(int) __attribute__((__noreturn__,__cold__));


  void
  __throw_bad_function_call() __attribute__((__noreturn__,__cold__));
# 140 "/usr/aarch64-linux-gnu/include/c++/15/bits/functexcept.h" 3

}
# 61 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 2 3


# 1 "/usr/aarch64-linux-gnu/include/c++/15/ext/numeric_traits.h" 1 3
# 39 "/usr/aarch64-linux-gnu/include/c++/15/ext/numeric_traits.h" 3
namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

# 52 "/usr/aarch64-linux-gnu/include/c++/15/ext/numeric_traits.h" 3
  template<typename _Tp>
    struct __is_integer_nonstrict
    : public std::__is_integer<_Tp>
    {
      using std::__is_integer<_Tp>::__value;


      enum { __width = __value ? sizeof(_Tp) * 8 : 0 };
    };

  template<typename _Value>
    struct __numeric_traits_integer
    {

      static_assert(__is_integer_nonstrict<_Value>::__value,
      "invalid specialization");




      static const bool __is_signed = (_Value)(-1) < 0;
      static const int __digits
 = __is_integer_nonstrict<_Value>::__width - __is_signed;


      static const _Value __max = __is_signed
 ? (((((_Value)1 << (__digits - 1)) - 1) << 1) + 1)
 : ~(_Value)0;
      static const _Value __min = __is_signed ? -__max - 1 : (_Value)0;
    };

  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__min;

  template<typename _Value>
    const _Value __numeric_traits_integer<_Value>::__max;

  template<typename _Value>
    const bool __numeric_traits_integer<_Value>::__is_signed;

  template<typename _Value>
    const int __numeric_traits_integer<_Value>::__digits;
# 139 "/usr/aarch64-linux-gnu/include/c++/15/ext/numeric_traits.h" 3
  template<typename _Tp>
    using __int_traits = __numeric_traits_integer<_Tp>;
# 159 "/usr/aarch64-linux-gnu/include/c++/15/ext/numeric_traits.h" 3
  template<typename _Value>
    struct __numeric_traits_floating
    {

      static const int __max_digits10 = (2 + (std::__are_same<_Value, float>::__value ? 24 : std::__are_same<_Value, double>::__value ? 53 : 113) * 643L / 2136);


      static const bool __is_signed = true;
      static const int __digits10 = (std::__are_same<_Value, float>::__value ? 6 : std::__are_same<_Value, double>::__value ? 15 : 33);
      static const int __max_exponent10 = (std::__are_same<_Value, float>::__value ? 38 : std::__are_same<_Value, double>::__value ? 308 : 4932);
    };

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_digits10;

  template<typename _Value>
    const bool __numeric_traits_floating<_Value>::__is_signed;

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__digits10;

  template<typename _Value>
    const int __numeric_traits_floating<_Value>::__max_exponent10;






  template<typename _Value>
    struct __numeric_traits
    : public __numeric_traits_integer<_Value>
    { };

  template<>
    struct __numeric_traits<float>
    : public __numeric_traits_floating<float>
    { };

  template<>
    struct __numeric_traits<double>
    : public __numeric_traits_floating<double>
    { };

  template<>
    struct __numeric_traits<long double>
    : public __numeric_traits_floating<long double>
    { };
# 240 "/usr/aarch64-linux-gnu/include/c++/15/ext/numeric_traits.h" 3

}
# 64 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 1 3
# 61 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/move.h" 1 3
# 40 "/usr/aarch64-linux-gnu/include/c++/15/bits/move.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  template<typename _Tp>
    __attribute__((__always_inline__))
    inline constexpr _Tp*
    __addressof(_Tp& __r) noexcept
    { return __builtin_addressof(__r); }
# 69 "/usr/aarch64-linux-gnu/include/c++/15/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__,__gnu__::__always_inline__]]
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type& __t) noexcept
    { return static_cast<_Tp&&>(__t); }
# 82 "/usr/aarch64-linux-gnu/include/c++/15/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__,__gnu__::__always_inline__]]
    constexpr _Tp&&
    forward(typename std::remove_reference<_Tp>::type&& __t) noexcept
    {
      static_assert(!std::is_lvalue_reference<_Tp>::value,
   "std::forward must not be used to convert an rvalue to an lvalue");
      return static_cast<_Tp&&>(__t);
    }
# 135 "/usr/aarch64-linux-gnu/include/c++/15/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__,__gnu__::__always_inline__]]
    constexpr typename std::remove_reference<_Tp>::type&&
    move(_Tp&& __t) noexcept
    { return static_cast<typename std::remove_reference<_Tp>::type&&>(__t); }


  template<typename _Tp>
    struct __move_if_noexcept_cond
    : public __and_<__not_<is_nothrow_move_constructible<_Tp>>,
                    is_copy_constructible<_Tp>>::type { };
# 156 "/usr/aarch64-linux-gnu/include/c++/15/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__,__gnu__::__always_inline__]]
    constexpr
    __conditional_t<__move_if_noexcept_cond<_Tp>::value, const _Tp&, _Tp&&>
    move_if_noexcept(_Tp& __x) noexcept
    { return std::move(__x); }
# 173 "/usr/aarch64-linux-gnu/include/c++/15/bits/move.h" 3
  template<typename _Tp>
    [[__nodiscard__,__gnu__::__always_inline__]]
    inline constexpr _Tp*
    addressof(_Tp& __r) noexcept
    { return std::__addressof(__r); }



  template<typename _Tp>
    const _Tp* addressof(const _Tp&&) = delete;


  template <typename _Tp, typename _Up = _Tp>
   
    inline _Tp
    __exchange(_Tp& __obj, _Up&& __new_val)
    {
      _Tp __old_val = std::move(__obj);
      __obj = std::forward<_Up>(__new_val);
      return __old_val;
    }
# 217 "/usr/aarch64-linux-gnu/include/c++/15/bits/move.h" 3
  template<typename _Tp>
   
    inline

    typename enable_if<__and_<__not_<__is_tuple_like<_Tp>>,
         is_move_constructible<_Tp>,
         is_move_assignable<_Tp>>::value>::type



    swap(_Tp& __a, _Tp& __b)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>, is_nothrow_move_assignable<_Tp>>::value)

    {




      _Tp __tmp = std::move(__a);
      __a = std::move(__b);
      __b = std::move(__tmp);
    }




  template<typename _Tp, size_t _Nm>
   
    inline

    typename enable_if<__is_swappable<_Tp>::value>::type



    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value)
    {
      for (size_t __n = 0; __n < _Nm; ++__n)
 swap(__a[__n], __b[__n]);
    }



}
# 62 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/utility.h" 1 3
# 45 "/usr/aarch64-linux-gnu/include/c++/15/bits/utility.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{



  template<typename _Tp>
    struct tuple_size;





  template<typename _Tp,
    typename _Up = typename remove_cv<_Tp>::type,
    typename = typename enable_if<is_same<_Tp, _Up>::value>::type,
    size_t = tuple_size<_Tp>::value>
    using __enable_if_has_tuple_size = _Tp;

  template<typename _Tp>
    struct tuple_size<const __enable_if_has_tuple_size<_Tp>>
    : public tuple_size<_Tp> { };

  template<typename _Tp>
    struct tuple_size<volatile __enable_if_has_tuple_size<_Tp>>
    : public tuple_size<_Tp> { };

  template<typename _Tp>
    struct tuple_size<const volatile __enable_if_has_tuple_size<_Tp>>
    : public tuple_size<_Tp> { };


  template<typename _Tp>
    inline constexpr size_t tuple_size_v = tuple_size<_Tp>::value;



  template<size_t __i, typename _Tp>
    struct tuple_element;


  template<size_t __i, typename _Tp>
    using __tuple_element_t = typename tuple_element<__i, _Tp>::type;

  template<size_t __i, typename _Tp>
    struct tuple_element<__i, const _Tp>
    {
      using type = const __tuple_element_t<__i, _Tp>;
    };

  template<size_t __i, typename _Tp>
    struct tuple_element<__i, volatile _Tp>
    {
      using type = volatile __tuple_element_t<__i, _Tp>;
    };

  template<size_t __i, typename _Tp>
    struct tuple_element<__i, const volatile _Tp>
    {
      using type = const volatile __tuple_element_t<__i, _Tp>;
    };





  template<typename _Tp, typename... _Types>
    constexpr size_t
    __find_uniq_type_in_pack()
    {
      constexpr size_t __sz = sizeof...(_Types);
      constexpr bool __found[__sz] = { __is_same(_Tp, _Types) ... };
      size_t __n = __sz;
      for (size_t __i = 0; __i < __sz; ++__i)
 {
   if (__found[__i])
     {
       if (__n < __sz)
  return __sz;
       __n = __i;
     }
 }
      return __n;
    }
# 136 "/usr/aarch64-linux-gnu/include/c++/15/bits/utility.h" 3
  template<size_t __i, typename _Tp>
    using tuple_element_t = typename tuple_element<__i, _Tp>::type;




  template<size_t... _Indexes> struct _Index_tuple { };


  template<size_t _Num>
    struct _Build_index_tuple
    {
# 156 "/usr/aarch64-linux-gnu/include/c++/15/bits/utility.h" 3
      using __type = _Index_tuple<__integer_pack(_Num)...>;

    };




  template<typename _Tp, _Tp... _Idx>
    struct integer_sequence
    {



      typedef _Tp value_type;
      static constexpr size_t size() noexcept { return sizeof...(_Idx); }
    };


  template<typename _Tp, _Tp _Num>
    using make_integer_sequence



      = integer_sequence<_Tp, __integer_pack(_Num)...>;



  template<size_t... _Idx>
    using index_sequence = integer_sequence<size_t, _Idx...>;


  template<size_t _Num>
    using make_index_sequence = make_integer_sequence<size_t, _Num>;


  template<typename... _Types>
    using index_sequence_for = make_index_sequence<sizeof...(_Types)>;




  struct in_place_t {
    explicit in_place_t() = default;
  };

  inline constexpr in_place_t in_place{};

  template<typename _Tp> struct in_place_type_t
  {
    explicit in_place_type_t() = default;
  };

  template<typename _Tp>
    inline constexpr in_place_type_t<_Tp> in_place_type{};

  template<size_t _Idx> struct in_place_index_t
  {
    explicit in_place_index_t() = default;
  };

  template<size_t _Idx>
    inline constexpr in_place_index_t<_Idx> in_place_index{};

  template<typename>
    inline constexpr bool __is_in_place_type_v = false;

  template<typename _Tp>
    inline constexpr bool __is_in_place_type_v<in_place_type_t<_Tp>> = true;

  template<typename>
    inline constexpr bool __is_in_place_index_v = false;

  template<size_t _Nm>
    inline constexpr bool __is_in_place_index_v<in_place_index_t<_Nm>> = true;




  template<size_t _Np, typename... _Types>
    struct _Nth_type
    { using type = __type_pack_element<_Np, _Types...>; };
# 284 "/usr/aarch64-linux-gnu/include/c++/15/bits/utility.h" 3
  struct _Swallow_assign
  {
    template<class _Tp>
      constexpr const _Swallow_assign&
      operator=(const _Tp&) const noexcept
      { return *this; }
  };
# 309 "/usr/aarch64-linux-gnu/include/c++/15/bits/utility.h" 3
  inline constexpr _Swallow_assign ignore{};
# 319 "/usr/aarch64-linux-gnu/include/c++/15/bits/utility.h" 3

}
# 63 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 2 3





namespace std __attribute__ ((__visibility__ ("default")))
{

# 79 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  struct piecewise_construct_t { explicit piecewise_construct_t() = default; };


  inline constexpr piecewise_construct_t piecewise_construct =
    piecewise_construct_t();




  template<typename _T1, typename _T2>
    struct pair;

  template<typename...>
    class tuple;





  template<typename _Tp, size_t _Nm>
    struct array;

  template<size_t...>
    struct _Index_tuple;

  template<typename _Tp>
    class complex;

  template<size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, pair<_Tp1, _Tp2>>::type&
    get(pair<_Tp1, _Tp2>& __in) noexcept;

  template<size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, pair<_Tp1, _Tp2>>::type&&
    get(pair<_Tp1, _Tp2>&& __in) noexcept;

  template<size_t _Int, class _Tp1, class _Tp2>
    constexpr const typename tuple_element<_Int, pair<_Tp1, _Tp2>>::type&
    get(const pair<_Tp1, _Tp2>& __in) noexcept;

  template<size_t _Int, class _Tp1, class _Tp2>
    constexpr const typename tuple_element<_Int, pair<_Tp1, _Tp2>>::type&&
    get(const pair<_Tp1, _Tp2>&& __in) noexcept;

  template<size_t __i, typename... _Elements>
    constexpr __tuple_element_t<__i, tuple<_Elements...>>&
    get(tuple<_Elements...>& __t) noexcept;

  template<size_t __i, typename... _Elements>
    constexpr const __tuple_element_t<__i, tuple<_Elements...>>&
    get(const tuple<_Elements...>& __t) noexcept;

  template<size_t __i, typename... _Elements>
    constexpr __tuple_element_t<__i, tuple<_Elements...>>&&
    get(tuple<_Elements...>&& __t) noexcept;

  template<size_t __i, typename... _Elements>
    constexpr const __tuple_element_t<__i, tuple<_Elements...>>&&
    get(const tuple<_Elements...>&& __t) noexcept;

  template<size_t _Int, typename _Tp, size_t _Nm>
    constexpr _Tp&
    get(array<_Tp, _Nm>&) noexcept;

  template<size_t _Int, typename _Tp, size_t _Nm>
    constexpr _Tp&&
    get(array<_Tp, _Nm>&&) noexcept;

  template<size_t _Int, typename _Tp, size_t _Nm>
    constexpr const _Tp&
    get(const array<_Tp, _Nm>&) noexcept;

  template<size_t _Int, typename _Tp, size_t _Nm>
    constexpr const _Tp&&
    get(const array<_Tp, _Nm>&&) noexcept;
# 176 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  template <bool, typename _T1, typename _T2>
    struct _PCC
    {
      template <typename _U1, typename _U2>
      static constexpr bool _ConstructiblePair()
      {
 return __and_<is_constructible<_T1, const _U1&>,
        is_constructible<_T2, const _U2&>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyConvertiblePair()
      {
 return __and_<is_convertible<const _U1&, _T1>,
        is_convertible<const _U2&, _T2>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _MoveConstructiblePair()
      {
 return __and_<is_constructible<_T1, _U1&&>,
        is_constructible<_T2, _U2&&>>::value;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyMoveConvertiblePair()
      {
 return __and_<is_convertible<_U1&&, _T1>,
        is_convertible<_U2&&, _T2>>::value;
      }
    };

  template <typename _T1, typename _T2>
    struct _PCC<false, _T1, _T2>
    {
      template <typename _U1, typename _U2>
      static constexpr bool _ConstructiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyConvertiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _MoveConstructiblePair()
      {
 return false;
      }

      template <typename _U1, typename _U2>
      static constexpr bool _ImplicitlyMoveConvertiblePair()
      {
 return false;
      }
    };
# 278 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  template<typename _U1, typename _U2> class __pair_base
  {

    template<typename _T1, typename _T2> friend struct pair;
    __pair_base() = default;
    ~__pair_base() = default;
    __pair_base(const __pair_base&) = default;
    __pair_base& operator=(const __pair_base&) = delete;

  };
# 301 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    struct pair
    : public __pair_base<_T1, _T2>
    {
      typedef _T1 first_type;
      typedef _T2 second_type;

      _T1 first;
      _T2 second;


      constexpr pair(const pair&) = default;
      constexpr pair(pair&&) = default;

      template<typename... _Args1, typename... _Args2>

 pair(piecewise_construct_t, tuple<_Args1...>, tuple<_Args2...>);


      void
      swap(pair& __p)
      noexcept(__and_<__is_nothrow_swappable<_T1>,
        __is_nothrow_swappable<_T2>>::value)
      {
 using std::swap;
 swap(first, __p.first);
 swap(second, __p.second);
      }
# 349 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
    private:
      template<typename... _Args1, size_t... _Indexes1,
        typename... _Args2, size_t... _Indexes2>

 pair(tuple<_Args1...>&, tuple<_Args2...>&,
      _Index_tuple<_Indexes1...>, _Index_tuple<_Indexes2...>);
    public:
# 739 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                                     __is_implicitly_default_constructible<_U1>,
                                     __is_implicitly_default_constructible<_U2>>
                                   ::value, bool>::type = true>
      constexpr pair()
      : first(), second() { }

      template <typename _U1 = _T1,
                typename _U2 = _T2,
                typename enable_if<__and_<
                       is_default_constructible<_U1>,
                       is_default_constructible<_U2>,
                       __not_<
                         __and_<__is_implicitly_default_constructible<_U1>,
                                __is_implicitly_default_constructible<_U2>>>>
                                   ::value, bool>::type = false>
      explicit constexpr pair()
      : first(), second() { }



      using _PCCP = _PCC<true, _T1, _T2>;



      template<typename _U1 = _T1, typename _U2=_T2, typename
        enable_if<_PCCP::template
      _ConstructiblePair<_U1, _U2>()
                  && _PCCP::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
      constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }


       template<typename _U1 = _T1, typename _U2=_T2, typename
  enable_if<_PCCP::template
       _ConstructiblePair<_U1, _U2>()
                   && !_PCCP::template
       _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
      explicit constexpr pair(const _T1& __a, const _T2& __b)
      : first(__a), second(__b) { }



      template <typename _U1, typename _U2>
        using _PCCFP = _PCC<!is_same<_T1, _U1>::value
       || !is_same<_T2, _U2>::value,
       _T1, _T2>;


      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _ConstructiblePair<_U1, _U2>()
                  && _PCCFP<_U1, _U2>::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
     bool>::type=true>
 constexpr pair(const pair<_U1, _U2>& __p)
 : first(__p.first), second(__p.second)
 { ; }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _ConstructiblePair<_U1, _U2>()
    && !_PCCFP<_U1, _U2>::template
      _ImplicitlyConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(const pair<_U1, _U2>& __p)
 : first(__p.first), second(__p.second)
 { ; }
# 823 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
    private:



      struct __zero_as_null_pointer_constant
      {
 __zero_as_null_pointer_constant(int __zero_as_null_pointer_constant::*)
 { }
 template<typename _Tp,
   typename = __enable_if_t<is_null_pointer<_Tp>::value>>
 __zero_as_null_pointer_constant(_Tp) = delete;
      };

    public:




      template<typename _U1,
        __enable_if_t<__and_<__not_<is_reference<_U1>>,
        is_pointer<_T2>,
        is_constructible<_T1, _U1>,
        __not_<is_constructible<_T1, const _U1&>>,
        is_convertible<_U1, _T1>>::value,
        bool> = true>
 __attribute__ ((__deprecated__ ("use 'nullptr' instead of '0' to " "initialize std::pair of move-only " "type and pointer")))
 constexpr
 pair(_U1&& __x, __zero_as_null_pointer_constant, ...)
 : first(std::forward<_U1>(__x)), second(nullptr)
 { ; }

      template<typename _U1,
        __enable_if_t<__and_<__not_<is_reference<_U1>>,
        is_pointer<_T2>,
        is_constructible<_T1, _U1>,
        __not_<is_constructible<_T1, const _U1&>>,
        __not_<is_convertible<_U1, _T1>>>::value,
        bool> = false>
 __attribute__ ((__deprecated__ ("use 'nullptr' instead of '0' to " "initialize std::pair of move-only " "type and pointer")))
 explicit constexpr
 pair(_U1&& __x, __zero_as_null_pointer_constant, ...)
 : first(std::forward<_U1>(__x)), second(nullptr)
 { ; }

      template<typename _U2,
        __enable_if_t<__and_<is_pointer<_T1>,
        __not_<is_reference<_U2>>,
        is_constructible<_T2, _U2>,
        __not_<is_constructible<_T2, const _U2&>>,
        is_convertible<_U2, _T2>>::value,
        bool> = true>
 __attribute__ ((__deprecated__ ("use 'nullptr' instead of '0' to " "initialize std::pair of move-only " "type and pointer")))
 constexpr
 pair(__zero_as_null_pointer_constant, _U2&& __y, ...)
 : first(nullptr), second(std::forward<_U2>(__y))
 { ; }

      template<typename _U2,
        __enable_if_t<__and_<is_pointer<_T1>,
        __not_<is_reference<_U2>>,
        is_constructible<_T2, _U2>,
        __not_<is_constructible<_T2, const _U2&>>,
        __not_<is_convertible<_U2, _T2>>>::value,
        bool> = false>
 __attribute__ ((__deprecated__ ("use 'nullptr' instead of '0' to " "initialize std::pair of move-only " "type and pointer")))
 explicit constexpr
 pair(__zero_as_null_pointer_constant, _U2&& __y, ...)
 : first(nullptr), second(std::forward<_U2>(__y))
 { ; }



      template<typename _U1, typename _U2, typename
        enable_if<_PCCP::template
      _MoveConstructiblePair<_U1, _U2>()
     && _PCCP::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
 constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y))
 { ; }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCP::template
      _MoveConstructiblePair<_U1, _U2>()
     && !_PCCP::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(_U1&& __x, _U2&& __y)
 : first(std::forward<_U1>(__x)), second(std::forward<_U2>(__y))
 { ; }


      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _MoveConstructiblePair<_U1, _U2>()
     && _PCCFP<_U1, _U2>::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=true>
 constexpr pair(pair<_U1, _U2>&& __p)
 : first(std::forward<_U1>(__p.first)),
   second(std::forward<_U2>(__p.second))
 { ; }

      template<typename _U1, typename _U2, typename
        enable_if<_PCCFP<_U1, _U2>::template
      _MoveConstructiblePair<_U1, _U2>()
     && !_PCCFP<_U1, _U2>::template
      _ImplicitlyMoveConvertiblePair<_U1, _U2>(),
                         bool>::type=false>
 explicit constexpr pair(pair<_U1, _U2>&& __p)
 : first(std::forward<_U1>(__p.first)),
   second(std::forward<_U2>(__p.second))
 { ; }



      pair&
      operator=(__conditional_t<__and_<is_copy_assignable<_T1>,
           is_copy_assignable<_T2>>::value,
    const pair&, const __nonesuch&> __p)
      {
 first = __p.first;
 second = __p.second;
 return *this;
      }

      pair&
      operator=(__conditional_t<__and_<is_move_assignable<_T1>,
           is_move_assignable<_T2>>::value,
    pair&&, __nonesuch&&> __p)
      noexcept(__and_<is_nothrow_move_assignable<_T1>,
        is_nothrow_move_assignable<_T2>>::value)
      {
 first = std::forward<first_type>(__p.first);
 second = std::forward<second_type>(__p.second);
 return *this;
      }

      template<typename _U1, typename _U2>
 typename enable_if<__and_<is_assignable<_T1&, const _U1&>,
      is_assignable<_T2&, const _U2&>>::value,
      pair&>::type
 operator=(const pair<_U1, _U2>& __p)
 {
   first = __p.first;
   second = __p.second;
   return *this;
 }

      template<typename _U1, typename _U2>
 typename enable_if<__and_<is_assignable<_T1&, _U1&&>,
      is_assignable<_T2&, _U2&&>>::value,
      pair&>::type
 operator=(pair<_U1, _U2>&& __p)
 {
   first = std::forward<_U1>(__p.first);
   second = std::forward<_U2>(__p.second);
   return *this;
 }
# 1015 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
    };




  template<typename _T1, typename _T2> pair(_T1, _T2) -> pair<_T1, _T2>;
# 1057 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    [[__nodiscard__]]
    inline constexpr bool
    operator==(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __x.first == __y.first && __x.second == __y.second; }
# 1070 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    [[__nodiscard__]]
    inline constexpr bool
    operator<(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __x.first < __y.first
      || (!(__y.first < __x.first) && __x.second < __y.second); }


  template<typename _T1, typename _T2>
    [[__nodiscard__]]
    inline constexpr bool
    operator!=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x == __y); }


  template<typename _T1, typename _T2>
    [[__nodiscard__]]
    inline constexpr bool
    operator>(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return __y < __x; }


  template<typename _T1, typename _T2>
    [[__nodiscard__]]
    inline constexpr bool
    operator<=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__y < __x); }


  template<typename _T1, typename _T2>
    [[__nodiscard__]]
    inline constexpr bool
    operator>=(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
    { return !(__x < __y); }
# 1112 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    inline


    typename enable_if<__and_<__is_swappable<_T1>,
                              __is_swappable<_T2>>::value>::type



    swap(pair<_T1, _T2>& __x, pair<_T1, _T2>& __y)
    noexcept(noexcept(__x.swap(__y)))
    { __x.swap(__y); }
# 1135 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    typename enable_if<!__and_<__is_swappable<_T1>,
          __is_swappable<_T2>>::value>::type
    swap(pair<_T1, _T2>&, pair<_T1, _T2>&) = delete;
# 1161 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    constexpr pair<typename __decay_and_strip<_T1>::__type,
                   typename __decay_and_strip<_T2>::__type>
    make_pair(_T1&& __x, _T2&& __y)
    {
      typedef typename __decay_and_strip<_T1>::__type __ds_type1;
      typedef typename __decay_and_strip<_T2>::__type __ds_type2;
      typedef pair<__ds_type1, __ds_type2> __pair_type;
      return __pair_type(std::forward<_T1>(__x), std::forward<_T2>(__y));
    }
# 1184 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3
  template<typename _T1, typename _T2>
    struct __is_tuple_like_impl<pair<_T1, _T2>> : true_type
    { };



  template<class _Tp1, class _Tp2>
    struct tuple_size<pair<_Tp1, _Tp2>>
    : public integral_constant<size_t, 2> { };


  template<class _Tp1, class _Tp2>
    struct tuple_element<0, pair<_Tp1, _Tp2>>
    { typedef _Tp1 type; };


  template<class _Tp1, class _Tp2>
    struct tuple_element<1, pair<_Tp1, _Tp2>>
    { typedef _Tp2 type; };


  template<typename _Tp1, typename _Tp2>
    inline constexpr size_t tuple_size_v<pair<_Tp1, _Tp2>> = 2;

  template<typename _Tp1, typename _Tp2>
    inline constexpr size_t tuple_size_v<const pair<_Tp1, _Tp2>> = 2;



#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wc++14-extensions"
#pragma GCC diagnostic ignored "-Wc++17-extensions"
  template<typename _Tp>
    inline constexpr bool __is_pair = false;

  template<typename _Tp, typename _Up>
    inline constexpr bool __is_pair<pair<_Tp, _Up>> = true;
#pragma GCC diagnostic pop



  template<size_t _Int>
    struct __pair_get;

  template<>
    struct __pair_get<0>
    {
      template<typename _Tp1, typename _Tp2>
 static constexpr _Tp1&
 __get(pair<_Tp1, _Tp2>& __pair) noexcept
 { return __pair.first; }

      template<typename _Tp1, typename _Tp2>
 static constexpr _Tp1&&
 __move_get(pair<_Tp1, _Tp2>&& __pair) noexcept
 { return std::forward<_Tp1>(__pair.first); }

      template<typename _Tp1, typename _Tp2>
 static constexpr const _Tp1&
 __const_get(const pair<_Tp1, _Tp2>& __pair) noexcept
 { return __pair.first; }

      template<typename _Tp1, typename _Tp2>
 static constexpr const _Tp1&&
 __const_move_get(const pair<_Tp1, _Tp2>&& __pair) noexcept
 { return std::forward<const _Tp1>(__pair.first); }
    };

  template<>
    struct __pair_get<1>
    {
      template<typename _Tp1, typename _Tp2>
 static constexpr _Tp2&
 __get(pair<_Tp1, _Tp2>& __pair) noexcept
 { return __pair.second; }

      template<typename _Tp1, typename _Tp2>
 static constexpr _Tp2&&
 __move_get(pair<_Tp1, _Tp2>&& __pair) noexcept
 { return std::forward<_Tp2>(__pair.second); }

      template<typename _Tp1, typename _Tp2>
 static constexpr const _Tp2&
 __const_get(const pair<_Tp1, _Tp2>& __pair) noexcept
 { return __pair.second; }

      template<typename _Tp1, typename _Tp2>
 static constexpr const _Tp2&&
 __const_move_get(const pair<_Tp1, _Tp2>&& __pair) noexcept
 { return std::forward<const _Tp2>(__pair.second); }
    };






  template<size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, pair<_Tp1, _Tp2>>::type&
    get(pair<_Tp1, _Tp2>& __in) noexcept
    { return __pair_get<_Int>::__get(__in); }

  template<size_t _Int, class _Tp1, class _Tp2>
    constexpr typename tuple_element<_Int, pair<_Tp1, _Tp2>>::type&&
    get(pair<_Tp1, _Tp2>&& __in) noexcept
    { return __pair_get<_Int>::__move_get(std::move(__in)); }

  template<size_t _Int, class _Tp1, class _Tp2>
    constexpr const typename tuple_element<_Int, pair<_Tp1, _Tp2>>::type&
    get(const pair<_Tp1, _Tp2>& __in) noexcept
    { return __pair_get<_Int>::__const_get(__in); }

  template<size_t _Int, class _Tp1, class _Tp2>
    constexpr const typename tuple_element<_Int, pair<_Tp1, _Tp2>>::type&&
    get(const pair<_Tp1, _Tp2>&& __in) noexcept
    { return __pair_get<_Int>::__const_move_get(std::move(__in)); }



  template <typename _Tp, typename _Up>
    constexpr _Tp&
    get(pair<_Tp, _Up>& __p) noexcept
    { return __p.first; }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&
    get(const pair<_Tp, _Up>& __p) noexcept
    { return __p.first; }

  template <typename _Tp, typename _Up>
    constexpr _Tp&&
    get(pair<_Tp, _Up>&& __p) noexcept
    { return std::forward<_Tp>(__p.first); }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&&
    get(const pair<_Tp, _Up>&& __p) noexcept
    { return std::forward<const _Tp>(__p.first); }

  template <typename _Tp, typename _Up>
    constexpr _Tp&
    get(pair<_Up, _Tp>& __p) noexcept
    { return __p.second; }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&
    get(const pair<_Up, _Tp>& __p) noexcept
    { return __p.second; }

  template <typename _Tp, typename _Up>
    constexpr _Tp&&
    get(pair<_Up, _Tp>&& __p) noexcept
    { return std::forward<_Tp>(__p.second); }

  template <typename _Tp, typename _Up>
    constexpr const _Tp&&
    get(const pair<_Up, _Tp>&& __p) noexcept
    { return std::forward<const _Tp>(__p.second); }
# 1365 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_pair.h" 3

}
# 65 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_types.h" 1 3
# 76 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_types.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 95 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_types.h" 3
  struct input_iterator_tag { };


  struct output_iterator_tag { };


  struct forward_iterator_tag : public input_iterator_tag { };



  struct bidirectional_iterator_tag : public forward_iterator_tag { };



  struct random_access_iterator_tag : public bidirectional_iterator_tag { };
# 127 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_types.h" 3
  template<typename _Category, typename _Tp, typename _Distance = ptrdiff_t,
           typename _Pointer = _Tp*, typename _Reference = _Tp&>
    struct [[__deprecated__]] iterator
    {

      typedef _Category iterator_category;

      typedef _Tp value_type;

      typedef _Distance difference_type;

      typedef _Pointer pointer;

      typedef _Reference reference;
    };
# 151 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_types.h" 3
  template<typename _Iterator>
    struct iterator_traits;




  template<typename _Iterator, typename = __void_t<>>
    struct __iterator_traits { };



  template<typename _Iterator>
    struct __iterator_traits<_Iterator,
        __void_t<typename _Iterator::iterator_category,
          typename _Iterator::value_type,
          typename _Iterator::difference_type,
          typename _Iterator::pointer,
          typename _Iterator::reference>>
    {
      typedef typename _Iterator::iterator_category iterator_category;
      typedef typename _Iterator::value_type value_type;
      typedef typename _Iterator::difference_type difference_type;
      typedef typename _Iterator::pointer pointer;
      typedef typename _Iterator::reference reference;
    };


  template<typename _Iterator>
    struct iterator_traits
    : public __iterator_traits<_Iterator> { };
# 211 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_types.h" 3
  template<typename _Tp>
    struct iterator_traits<_Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef _Tp* pointer;
      typedef _Tp& reference;
    };


  template<typename _Tp>
    struct iterator_traits<const _Tp*>
    {
      typedef random_access_iterator_tag iterator_category;
      typedef _Tp value_type;
      typedef ptrdiff_t difference_type;
      typedef const _Tp* pointer;
      typedef const _Tp& reference;
    };






  template<typename _Iter>
    __attribute__((__always_inline__))
    inline constexpr
    typename iterator_traits<_Iter>::iterator_category
    __iterator_category(const _Iter&)
    { return typename iterator_traits<_Iter>::iterator_category(); }




  template<typename _Iter>
    using __iter_category_t
      = typename iterator_traits<_Iter>::iterator_category;

  template<typename _InIter>
    using _RequireInputIter =
      __enable_if_t<is_convertible<__iter_category_t<_InIter>,
       input_iterator_tag>::value>;







  template<typename _It,
    typename _Cat = __iter_category_t<_It>>
    struct __is_random_access_iter
      : is_base_of<random_access_iterator_tag, _Cat>
    {
      typedef is_base_of<random_access_iterator_tag, _Cat> _Base;
      enum { __value = _Base::value };
    };








}
# 66 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_funcs.h" 1 3
# 66 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_funcs.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/concept_check.h" 1 3
# 39 "/usr/aarch64-linux-gnu/include/c++/15/bits/concept_check.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wvariadic-macros"
# 86 "/usr/aarch64-linux-gnu/include/c++/15/bits/concept_check.h" 3
#pragma GCC diagnostic pop
# 67 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_funcs.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/debug/assertions.h" 1 3
# 68 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_funcs.h" 2 3


namespace std __attribute__ ((__visibility__ ("default")))
{




  template <typename> struct _List_iterator;
  template <typename> struct _List_const_iterator;


  template<typename _InputIterator>
    inline constexpr
    typename iterator_traits<_InputIterator>::difference_type
    __distance(_InputIterator __first, _InputIterator __last,
               input_iterator_tag)
    {

     

      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      while (__first != __last)
 {
   ++__first;
   ++__n;
 }
      return __n;
    }

  template<typename _RandomAccessIterator>
    __attribute__((__always_inline__))
    inline constexpr
    typename iterator_traits<_RandomAccessIterator>::difference_type
    __distance(_RandomAccessIterator __first, _RandomAccessIterator __last,
               random_access_iterator_tag)
    {

     

      return __last - __first;
    }



  template<typename _Tp>
    ptrdiff_t
    __distance(std::_List_iterator<_Tp>,
        std::_List_iterator<_Tp>,
        input_iterator_tag);

  template<typename _Tp>
    ptrdiff_t
    __distance(std::_List_const_iterator<_Tp>,
        std::_List_const_iterator<_Tp>,
        input_iterator_tag);




  template<typename _OutputIterator>
    void
    __distance(_OutputIterator, _OutputIterator, output_iterator_tag) = delete;
# 146 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator>
    [[__nodiscard__]] __attribute__((__always_inline__))
    inline constexpr
    typename iterator_traits<_InputIterator>::difference_type
    distance(_InputIterator __first, _InputIterator __last)
    {

      return std::__distance(__first, __last,
        std::__iterator_category(__first));
    }

  template<typename _InputIterator, typename _Distance>
    inline constexpr void
    __advance(_InputIterator& __i, _Distance __n, input_iterator_tag)
    {

     
      do { if (std::__is_constant_evaluated() && !bool(__n >= 0)) std::__glibcxx_assert_fail(); } while (false);
      while (__n--)
 ++__i;
    }

  template<typename _BidirectionalIterator, typename _Distance>
    inline constexpr void
    __advance(_BidirectionalIterator& __i, _Distance __n,
       bidirectional_iterator_tag)
    {

     

      if (__n > 0)
        while (__n--)
   ++__i;
      else
        while (__n++)
   --__i;
    }

  template<typename _RandomAccessIterator, typename _Distance>
    inline constexpr void
    __advance(_RandomAccessIterator& __i, _Distance __n,
              random_access_iterator_tag)
    {

     

      if (__builtin_constant_p(__n) && __n == 1)
 ++__i;
      else if (__builtin_constant_p(__n) && __n == -1)
 --__i;
      else
 __i += __n;
    }



  template<typename _OutputIterator, typename _Distance>
    void
    __advance(_OutputIterator&, _Distance, output_iterator_tag) = delete;
# 219 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator_base_funcs.h" 3
  template<typename _InputIterator, typename _Distance>
    __attribute__((__always_inline__))
    inline constexpr void
    advance(_InputIterator& __i, _Distance __n)
    {

      typename iterator_traits<_InputIterator>::difference_type __d = __n;
      std::__advance(__i, __d, std::__iterator_category(__i));
    }



  template<typename _InputIterator>
    [[__nodiscard__]] [[__gnu__::__always_inline__]]
    inline constexpr _InputIterator
    next(_InputIterator __x, typename
  iterator_traits<_InputIterator>::difference_type __n = 1)
    {

     
      std::advance(__x, __n);
      return __x;
    }

  template<typename _BidirectionalIterator>
    [[__nodiscard__]] [[__gnu__::__always_inline__]]
    inline constexpr _BidirectionalIterator
    prev(_BidirectionalIterator __x, typename
  iterator_traits<_BidirectionalIterator>::difference_type __n = 1)
    {

     

      std::advance(__x, -__n);
      return __x;
    }




}
# 67 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 1 3
# 67 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/ptr_traits.h" 1 3
# 42 "/usr/aarch64-linux-gnu/include/c++/15/bits/ptr_traits.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{




  class __undefined;



  template<typename _Tp>
    struct __get_first_arg
    { using type = __undefined; };

  template<template<typename, typename...> class _SomeTemplate, typename _Tp,
           typename... _Types>
    struct __get_first_arg<_SomeTemplate<_Tp, _Types...>>
    { using type = _Tp; };



  template<typename _Tp, typename _Up>
    struct __replace_first_arg
    { };

  template<template<typename, typename...> class _SomeTemplate, typename _Up,
           typename _Tp, typename... _Types>
    struct __replace_first_arg<_SomeTemplate<_Tp, _Types...>, _Up>
    { using type = _SomeTemplate<_Up, _Types...>; };


  template<typename _Ptr, typename = void>
    struct __ptr_traits_elem : __get_first_arg<_Ptr>
    { };







  template<typename _Ptr>
    struct __ptr_traits_elem<_Ptr, __void_t<typename _Ptr::element_type>>
    { using type = typename _Ptr::element_type; };


  template<typename _Ptr>
    using __ptr_traits_elem_t = typename __ptr_traits_elem<_Ptr>::type;




  template<typename _Ptr, typename _Elt, bool = is_void<_Elt>::value>
    struct __ptr_traits_ptr_to
    {
      using pointer = _Ptr;
      using element_type = _Elt;







      static pointer
      pointer_to(element_type& __r)





      { return pointer::pointer_to(__r); }
    };


  template<typename _Ptr, typename _Elt>
    struct __ptr_traits_ptr_to<_Ptr, _Elt, true>
    { };


  template<typename _Tp>
    struct __ptr_traits_ptr_to<_Tp*, _Tp, false>
    {
      using pointer = _Tp*;
      using element_type = _Tp;






      static pointer
      pointer_to(element_type& __r) noexcept
      { return std::addressof(__r); }
    };

  template<typename _Ptr, typename _Elt>
    struct __ptr_traits_impl : __ptr_traits_ptr_to<_Ptr, _Elt>
    {
    private:
      template<typename _Tp>
 using __diff_t = typename _Tp::difference_type;

      template<typename _Tp, typename _Up>
 using __rebind = __type_identity<typename _Tp::template rebind<_Up>>;

    public:

      using pointer = _Ptr;


      using element_type = _Elt;


      using difference_type = __detected_or_t<ptrdiff_t, __diff_t, _Ptr>;


      template<typename _Up>
 using rebind = typename __detected_or_t<__replace_first_arg<_Ptr, _Up>,
      __rebind, _Ptr, _Up>::type;
    };



  template<typename _Ptr>
    struct __ptr_traits_impl<_Ptr, __undefined>
    { };







  template<typename _Ptr>
    struct pointer_traits : __ptr_traits_impl<_Ptr, __ptr_traits_elem_t<_Ptr>>
    { };







  template<typename _Tp>
    struct pointer_traits<_Tp*> : __ptr_traits_ptr_to<_Tp*, _Tp>
    {

      typedef _Tp* pointer;

      typedef _Tp element_type;

      typedef ptrdiff_t difference_type;

      template<typename _Up> using rebind = _Up*;
    };


  template<typename _Ptr, typename _Tp>
    using __ptr_rebind = typename pointer_traits<_Ptr>::template rebind<_Tp>;


  template<typename _Tp>
    [[__gnu__::__always_inline__]]
    constexpr _Tp*
    __to_address(_Tp* __ptr) noexcept
    {
      static_assert(!std::is_function<_Tp>::value, "std::to_address argument "
      "must not be a function pointer");
      return __ptr;
    }





  template<typename _Ptr>
    constexpr typename std::pointer_traits<_Ptr>::element_type*
    __to_address(const _Ptr& __ptr)
    { return std::__to_address(__ptr.operator->()); }
# 268 "/usr/aarch64-linux-gnu/include/c++/15/bits/ptr_traits.h" 3

}
# 68 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 2 3
# 85 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 108 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
 
# 108 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
# 130 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class reverse_iterator
    : public iterator<typename iterator_traits<_Iterator>::iterator_category,
        typename iterator_traits<_Iterator>::value_type,
        typename iterator_traits<_Iterator>::difference_type,
        typename iterator_traits<_Iterator>::pointer,
                      typename iterator_traits<_Iterator>::reference>
    {
      template<typename _Iter>
 friend class reverse_iterator;
# 149 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
    protected:
      _Iterator current;

      typedef iterator_traits<_Iterator> __traits_type;

    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::pointer pointer;

      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
# 180 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
      constexpr
      reverse_iterator()
      noexcept(noexcept(_Iterator()))
      : current()
      { }




      explicit constexpr
      reverse_iterator(iterator_type __x)
      noexcept(noexcept(_Iterator(__x)))
      : current(__x)
      { }




      constexpr
      reverse_iterator(const reverse_iterator& __x)
      noexcept(noexcept(_Iterator(__x.current)))
      : current(__x.current)
      { }


      reverse_iterator& operator=(const reverse_iterator&) = default;






      template<typename _Iter>



 constexpr
        reverse_iterator(const reverse_iterator<_Iter>& __x)
 noexcept(noexcept(_Iterator(__x.current)))
 : current(__x.current)
 { }


      template<typename _Iter>




 constexpr
 reverse_iterator&
 operator=(const reverse_iterator<_Iter>& __x)
 noexcept(noexcept(current = __x.current))
 {
   current = __x.current;
   return *this;
 }





      [[__nodiscard__]]
      constexpr iterator_type
      base() const
      noexcept(noexcept(_Iterator(current)))
      { return current; }
# 257 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
      [[__nodiscard__]]
      constexpr reference
      operator*() const
      {
 _Iterator __tmp = current;
 return *--__tmp;
      }






      [[__nodiscard__]]
      constexpr pointer
      operator->() const




      {


 _Iterator __tmp = current;
 --__tmp;
 return _S_to_pointer(__tmp);
      }






      constexpr reverse_iterator&
      operator++()
      {
 --current;
 return *this;
      }






      constexpr reverse_iterator
      operator++(int)
      {
 reverse_iterator __tmp = *this;
 --current;
 return __tmp;
      }






      constexpr reverse_iterator&
      operator--()
      {
 ++current;
 return *this;
      }






      constexpr reverse_iterator
      operator--(int)
      {
 reverse_iterator __tmp = *this;
 ++current;
 return __tmp;
      }






      [[__nodiscard__]]
      constexpr reverse_iterator
      operator+(difference_type __n) const
      { return reverse_iterator(current - __n); }







      constexpr reverse_iterator&
      operator+=(difference_type __n)
      {
 current -= __n;
 return *this;
      }






      [[__nodiscard__]]
      constexpr reverse_iterator
      operator-(difference_type __n) const
      { return reverse_iterator(current + __n); }







      constexpr reverse_iterator&
      operator-=(difference_type __n)
      {
 current += __n;
 return *this;
      }






      [[__nodiscard__]]
      constexpr reference
      operator[](difference_type __n) const
      { return *(*this + __n); }
# 417 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
    private:
      template<typename _Tp>
 static constexpr _Tp*
 _S_to_pointer(_Tp* __p)
        { return __p; }

      template<typename _Tp>
 static constexpr pointer
 _S_to_pointer(_Tp __t)
        { return __t.operator->(); }
    };
# 440 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator==(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return __x.base() == __y.base(); }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator<(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y.base() < __x.base(); }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator!=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__x == __y); }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator>(const reverse_iterator<_Iterator>& __x,
       const reverse_iterator<_Iterator>& __y)
    { return __y < __x; }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator<=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__y < __x); }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator>=(const reverse_iterator<_Iterator>& __x,
        const reverse_iterator<_Iterator>& __y)
    { return !(__x < __y); }




  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator==(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() == __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator<(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __x.base() > __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator!=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() != __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator>(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    { return __x.base() < __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    inline constexpr bool
    operator<=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() >= __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator>=(const reverse_iterator<_IteratorL>& __x,
        const reverse_iterator<_IteratorR>& __y)
    { return __x.base() <= __y.base(); }
# 617 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr auto
    operator-(const reverse_iterator<_IteratorL>& __x,
       const reverse_iterator<_IteratorR>& __y)
    -> decltype(__y.base() - __x.base())
    { return __y.base() - __x.base(); }


  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr reverse_iterator<_Iterator>
    operator+(typename reverse_iterator<_Iterator>::difference_type __n,
       const reverse_iterator<_Iterator>& __x)
    { return reverse_iterator<_Iterator>(__x.base() - __n); }



  template<typename _Iterator>
    inline constexpr reverse_iterator<_Iterator>
    __make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }





  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr reverse_iterator<_Iterator>
    make_reverse_iterator(_Iterator __i)
    { return reverse_iterator<_Iterator>(__i); }
# 659 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Iterator>
    struct __is_move_iterator<reverse_iterator<_Iterator> >
      : __is_move_iterator<_Iterator>
    { };
# 676 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Container>
    class back_insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;

    public:

      typedef _Container container_type;





      explicit
      back_insert_iterator(_Container& __x)
      : container(std::__addressof(__x)) { }
# 714 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
     
      back_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_back(__value);
 return *this;
      }

     
      back_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_back(std::move(__value));
 return *this;
      }



      [[__nodiscard__]]
      back_insert_iterator&
      operator*()
      { return *this; }


     
      back_insert_iterator&
      operator++()
      { return *this; }


     
      back_insert_iterator
      operator++(int)
      { return *this; }
    };
# 761 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Container>
    [[__nodiscard__]]
    inline back_insert_iterator<_Container>
    back_inserter(_Container& __x)
    { return back_insert_iterator<_Container>(__x); }
# 777 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Container>
    class front_insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {
    protected:
      _Container* container;

    public:

      typedef _Container container_type;





      explicit
      front_insert_iterator(_Container& __x)
      : container(std::__addressof(__x)) { }
# 815 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
     
      front_insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 container->push_front(__value);
 return *this;
      }

     
      front_insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 container->push_front(std::move(__value));
 return *this;
      }



      [[__nodiscard__]]
      front_insert_iterator&
      operator*()
      { return *this; }


     
      front_insert_iterator&
      operator++()
      { return *this; }


     
      front_insert_iterator
      operator++(int)
      { return *this; }
    };
# 862 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Container>
    [[__nodiscard__]]
    inline front_insert_iterator<_Container>
    front_inserter(_Container& __x)
    { return front_insert_iterator<_Container>(__x); }
# 882 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Container>
    class insert_iterator
    : public iterator<output_iterator_tag, void, void, void, void>
    {



      typedef typename _Container::iterator _Iter;

    protected:
      _Container* container;
      _Iter iter;

    public:

      typedef _Container container_type;
# 907 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
     
      insert_iterator(_Container& __x, _Iter __i)
      : container(std::__addressof(__x)), iter(__i) {}
# 943 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
     
      insert_iterator&
      operator=(const typename _Container::value_type& __value)
      {
 iter = container->insert(iter, __value);
 ++iter;
 return *this;
      }

     
      insert_iterator&
      operator=(typename _Container::value_type&& __value)
      {
 iter = container->insert(iter, std::move(__value));
 ++iter;
 return *this;
      }



      [[__nodiscard__]]
      insert_iterator&
      operator*()
      { return *this; }


     
      insert_iterator&
      operator++()
      { return *this; }


     
      insert_iterator&
      operator++(int)
      { return *this; }
    };

#pragma GCC diagnostic pop
# 1002 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Container>
    [[__nodiscard__]]
    inline insert_iterator<_Container>
    inserter(_Container& __x, typename _Container::iterator __i)
    { return insert_iterator<_Container>(__x, __i); }





}

namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

# 1025 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Iterator, typename _Container>
    class __normal_iterator
    {
    protected:
      _Iterator _M_current;

      typedef std::iterator_traits<_Iterator> __traits_type;


      template<typename _Iter>
 using __convertible_from
   = std::__enable_if_t<std::is_convertible<_Iter, _Iterator>::value>;


    public:
      typedef _Iterator iterator_type;
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;
      typedef typename __traits_type::reference reference;
      typedef typename __traits_type::pointer pointer;





      __attribute__((__always_inline__))
      constexpr
      __normal_iterator() noexcept
      : _M_current() { }

      __attribute__((__always_inline__))
      explicit constexpr
      __normal_iterator(const _Iterator& __i) noexcept
      : _M_current(__i) { }






      template<typename _Iter, typename = __convertible_from<_Iter>>

 [[__gnu__::__always_inline__]]
 constexpr
 __normal_iterator(const __normal_iterator<_Iter, _Container>& __i)
 noexcept
# 1082 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
        : _M_current(__i.base()) { }



      [[__nodiscard__]] __attribute__((__always_inline__))
      constexpr
      reference
      operator*() const noexcept
      { return *_M_current; }

      [[__nodiscard__]] __attribute__((__always_inline__))
      constexpr
      pointer
      operator->() const noexcept
      { return _M_current; }

      __attribute__((__always_inline__))
      constexpr
      __normal_iterator&
      operator++() noexcept
      {
 ++_M_current;
 return *this;
      }

      __attribute__((__always_inline__))
      constexpr
      __normal_iterator
      operator++(int) noexcept
      { return __normal_iterator(_M_current++); }



      __attribute__((__always_inline__))
      constexpr
      __normal_iterator&
      operator--() noexcept
      {
 --_M_current;
 return *this;
      }

      __attribute__((__always_inline__))
      constexpr
      __normal_iterator
      operator--(int) noexcept
      { return __normal_iterator(_M_current--); }



      [[__nodiscard__]] __attribute__((__always_inline__))
      constexpr
      reference
      operator[](difference_type __n) const noexcept
      { return _M_current[__n]; }

      __attribute__((__always_inline__))
      constexpr
      __normal_iterator&
      operator+=(difference_type __n) noexcept
      { _M_current += __n; return *this; }

      [[__nodiscard__]] __attribute__((__always_inline__))
      constexpr
      __normal_iterator
      operator+(difference_type __n) const noexcept
      { return __normal_iterator(_M_current + __n); }

      __attribute__((__always_inline__))
      constexpr
      __normal_iterator&
      operator-=(difference_type __n) noexcept
      { _M_current -= __n; return *this; }

      [[__nodiscard__]] __attribute__((__always_inline__))
      constexpr
      __normal_iterator
      operator-(difference_type __n) const noexcept
      { return __normal_iterator(_M_current - __n); }

      [[__nodiscard__]] __attribute__((__always_inline__))
      constexpr
      const _Iterator&
      base() const noexcept
      { return _M_current; }
    };
# 1217 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator==(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() == __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator==(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() == __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator!=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() != __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator!=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() != __rhs.base(); }


  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator<(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() < __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__))
    inline bool
    operator<(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() < __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator>(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() > __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator>(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() > __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator<=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() <= __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator<=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() <= __rhs.base(); }

  template<typename _IteratorL, typename _IteratorR, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator>=(const __normal_iterator<_IteratorL, _Container>& __lhs,
        const __normal_iterator<_IteratorR, _Container>& __rhs)
    noexcept
    { return __lhs.base() >= __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline bool
    operator>=(const __normal_iterator<_Iterator, _Container>& __lhs,
        const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() >= __rhs.base(); }






  template<typename _IteratorL, typename _IteratorR, typename _Container>


    [[__nodiscard__, __gnu__::__always_inline__]]
    constexpr auto
    operator-(const __normal_iterator<_IteratorL, _Container>& __lhs,
       const __normal_iterator<_IteratorR, _Container>& __rhs) noexcept
    -> decltype(__lhs.base() - __rhs.base())





    { return __lhs.base() - __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline typename __normal_iterator<_Iterator, _Container>::difference_type
    operator-(const __normal_iterator<_Iterator, _Container>& __lhs,
       const __normal_iterator<_Iterator, _Container>& __rhs)
    noexcept
    { return __lhs.base() - __rhs.base(); }

  template<typename _Iterator, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__)) constexpr
    inline __normal_iterator<_Iterator, _Container>
    operator+(typename __normal_iterator<_Iterator, _Container>::difference_type
       __n, const __normal_iterator<_Iterator, _Container>& __i)
    noexcept
    { return __normal_iterator<_Iterator, _Container>(__i.base() + __n); }


}

namespace std __attribute__ ((__visibility__ ("default")))
{

# 1434 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Iterator>
    class move_iterator



    {
      _Iterator _M_current;

      using __traits_type = iterator_traits<_Iterator>;

      using __base_ref = typename __traits_type::reference;


      template<typename _Iter2>
 friend class move_iterator;
# 1473 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
    public:
      using iterator_type = _Iterator;
# 1485 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
      typedef typename __traits_type::iterator_category iterator_category;
      typedef typename __traits_type::value_type value_type;
      typedef typename __traits_type::difference_type difference_type;

      typedef _Iterator pointer;


      using reference
 = __conditional_t<is_reference<__base_ref>::value,
     typename remove_reference<__base_ref>::type&&,
     __base_ref>;


      constexpr
      move_iterator()
      : _M_current() { }

      explicit constexpr
      move_iterator(iterator_type __i)
      : _M_current(std::move(__i)) { }

      template<typename _Iter>



 constexpr
 move_iterator(const move_iterator<_Iter>& __i)
 : _M_current(__i._M_current) { }

      template<typename _Iter>




 constexpr
 move_iterator& operator=(const move_iterator<_Iter>& __i)
 {
   _M_current = __i._M_current;
   return *this;
 }


      [[__nodiscard__]]
      constexpr iterator_type
      base() const
      { return _M_current; }
# 1543 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
      [[__nodiscard__]]
      constexpr reference
      operator*() const



      { return static_cast<reference>(*_M_current); }


      [[__nodiscard__]]
      constexpr pointer
      operator->() const
      { return _M_current; }

      constexpr move_iterator&
      operator++()
      {
 ++_M_current;
 return *this;
      }

      constexpr move_iterator
      operator++(int)
      {
 move_iterator __tmp = *this;
 ++_M_current;
 return __tmp;
      }







      constexpr move_iterator&
      operator--()
      {
 --_M_current;
 return *this;
      }

      constexpr move_iterator
      operator--(int)
      {
 move_iterator __tmp = *this;
 --_M_current;
 return __tmp;
      }

      [[__nodiscard__]]
      constexpr move_iterator
      operator+(difference_type __n) const
      { return move_iterator(_M_current + __n); }

      constexpr move_iterator&
      operator+=(difference_type __n)
      {
 _M_current += __n;
 return *this;
      }

      [[__nodiscard__]]
      constexpr move_iterator
      operator-(difference_type __n) const
      { return move_iterator(_M_current - __n); }

      constexpr move_iterator&
      operator-=(difference_type __n)
      {
 _M_current -= __n;
 return *this;
      }

      [[__nodiscard__]]
      constexpr reference
      operator[](difference_type __n) const



      { return std::move(_M_current[__n]); }
# 1657 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
    };

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator==(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return __x.base() == __y.base(); }
# 1678 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator!=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)
    { return !(__x == __y); }


  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator<(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)



    { return __x.base() < __y.base(); }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator<=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return !(__y < __x); }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator>(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)



    { return __y < __x; }

  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr bool
    operator>=(const move_iterator<_IteratorL>& __x,
        const move_iterator<_IteratorR>& __y)



    { return !(__x < __y); }




  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator==(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)

    { return __x.base() == __y.base(); }
# 1745 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator!=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x == __y); }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator<(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __x.base() < __y.base(); }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator<=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__y < __x); }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator>(const move_iterator<_Iterator>& __x,
       const move_iterator<_Iterator>& __y)
    { return __y < __x; }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr bool
    operator>=(const move_iterator<_Iterator>& __x,
        const move_iterator<_Iterator>& __y)
    { return !(__x < __y); }



  template<typename _IteratorL, typename _IteratorR>
    [[__nodiscard__]]
    inline constexpr auto
    operator-(const move_iterator<_IteratorL>& __x,
       const move_iterator<_IteratorR>& __y)
    -> decltype(__x.base() - __y.base())
    { return __x.base() - __y.base(); }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr move_iterator<_Iterator>
    operator+(typename move_iterator<_Iterator>::difference_type __n,
       const move_iterator<_Iterator>& __x)



    { return __x + __n; }

  template<typename _Iterator>
    [[__nodiscard__]]
    inline constexpr move_iterator<_Iterator>
    make_move_iterator(_Iterator __i)
    { return move_iterator<_Iterator>(std::move(__i)); }

  template<typename _Iterator, typename _ReturnType
    = __conditional_t<__move_if_noexcept_cond
      <typename iterator_traits<_Iterator>::value_type>::value,
  _Iterator, move_iterator<_Iterator>>>
    [[__nodiscard__]]
    constexpr _ReturnType
    __make_move_if_noexcept_iterator(_Iterator __i)
    { return _ReturnType(__i); }



  template<typename _Tp, typename _ReturnType
    = __conditional_t<__move_if_noexcept_cond<_Tp>::value,
        const _Tp*, move_iterator<_Tp*>>>
    [[__nodiscard__]]
    constexpr _ReturnType
    __make_move_if_noexcept_iterator(_Tp* __i)
    { return _ReturnType(__i); }

  template<typename _Iterator>
    struct __is_move_iterator<move_iterator<_Iterator> >
    {
      enum { __value = 1 };
      typedef __true_type __type;
    };
# 2980 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3

}

namespace __gnu_debug
{
  template<typename _Iterator, typename _Sequence, typename _Category>
    class _Safe_iterator;
}

namespace std __attribute__ ((__visibility__ ("default")))
{





  template<typename _Iterator, typename _Container>
    [[__nodiscard__]] __attribute__((__always_inline__))
   
    inline _Iterator
    __niter_base(__gnu_cxx::__normal_iterator<_Iterator, _Container> __it)
    noexcept(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it.base(); }


  template<typename _Iterator>
    [[__nodiscard__]] __attribute__((__always_inline__))
   
    inline _Iterator
    __niter_base(_Iterator __it)
    noexcept(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it; }
# 3027 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_iterator.h" 3
  template<typename _Ite, typename _Seq>
   
    decltype(std::__niter_base(std::declval<_Ite>()))
    __niter_base(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq,
   std::random_access_iterator_tag>&)
    noexcept(std::is_nothrow_copy_constructible<_Ite>::value);



  template<typename _Iterator>
   
    inline auto
    __niter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__niter_base(__it.base())))
    { return __make_reverse_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
   
    inline auto
    __niter_base(move_iterator<_Iterator> __it)
    -> decltype(make_move_iterator(__niter_base(__it.base())))
    { return make_move_iterator(__niter_base(__it.base())); }

  template<typename _Iterator>
   
    inline auto
    __miter_base(reverse_iterator<_Iterator> __it)
    -> decltype(__make_reverse_iterator(__miter_base(__it.base())))
    { return __make_reverse_iterator(__miter_base(__it.base())); }

  template<typename _Iterator>
   
    inline auto
    __miter_base(move_iterator<_Iterator> __it)
    -> decltype(__miter_base(__it.base()))
    { return __miter_base(__it.base()); }






  template<typename _From, typename _To>
    [[__nodiscard__]]
   
    inline _From
    __niter_wrap(_From __from, _To __res)
    { return __from + (std::__niter_base(__res) - std::__niter_base(__from)); }


  template<typename _Iterator>
    [[__nodiscard__]] __attribute__((__always_inline__))
   
    inline _Iterator
    __niter_wrap(const _Iterator&, _Iterator __res)
    { return __res; }






  template<typename _InputIterator>
    using __iter_key_t = remove_const_t<



      typename iterator_traits<_InputIterator>::value_type::first_type>;


  template<typename _InputIterator>
    using __iter_val_t



      = typename iterator_traits<_InputIterator>::value_type::second_type;


  template<typename _T1, typename _T2>
    struct pair;

  template<typename _InputIterator>
    using __iter_to_alloc_t
      = pair<const __iter_key_t<_InputIterator>, __iter_val_t<_InputIterator>>;



}
# 68 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 2 3

# 1 "/usr/aarch64-linux-gnu/include/c++/15/debug/debug.h" 1 3
# 48 "/usr/aarch64-linux-gnu/include/c++/15/debug/debug.h" 3
namespace std
{
  namespace __debug { }
}




namespace __gnu_debug
{
  using namespace std::__debug;

  template<typename _Ite, typename _Seq, typename _Cat>
    struct _Safe_iterator;
}
# 70 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 2 3

# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/predefined_ops.h" 1 3
# 35 "/usr/aarch64-linux-gnu/include/c++/15/bits/predefined_ops.h" 3
namespace __gnu_cxx
{
namespace __ops
{
  struct _Iter_less_iter
  {
    template<typename _Iterator1, typename _Iterator2>
      constexpr
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 < *__it2; }
  };

  constexpr
  inline _Iter_less_iter
  __iter_less_iter()
  { return _Iter_less_iter(); }

  struct _Iter_less_val
  {

    constexpr _Iter_less_val() = default;




   
    explicit
    _Iter_less_val(_Iter_less_iter) { }

    template<typename _Iterator, typename _Value>
     
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it < __val; }
  };

 
  inline _Iter_less_val
  __iter_less_val()
  { return _Iter_less_val(); }

 
  inline _Iter_less_val
  __iter_comp_val(_Iter_less_iter)
  { return _Iter_less_val(); }

  struct _Val_less_iter
  {

    constexpr _Val_less_iter() = default;




   
    explicit
    _Val_less_iter(_Iter_less_iter) { }

    template<typename _Value, typename _Iterator>
     
      bool
      operator()(_Value& __val, _Iterator __it) const
      { return __val < *__it; }
  };

 
  inline _Val_less_iter
  __val_less_iter()
  { return _Val_less_iter(); }

 
  inline _Val_less_iter
  __val_comp_iter(_Iter_less_iter)
  { return _Val_less_iter(); }

  struct _Iter_equal_to_iter
  {
    template<typename _Iterator1, typename _Iterator2>
     
      bool
      operator()(_Iterator1 __it1, _Iterator2 __it2) const
      { return *__it1 == *__it2; }
  };

 
  inline _Iter_equal_to_iter
  __iter_equal_to_iter()
  { return _Iter_equal_to_iter(); }

  struct _Iter_equal_to_val
  {
    template<typename _Iterator, typename _Value>
     
      bool
      operator()(_Iterator __it, _Value& __val) const
      { return *__it == __val; }
  };

 
  inline _Iter_equal_to_val
  __iter_equal_to_val()
  { return _Iter_equal_to_val(); }

 
  inline _Iter_equal_to_val
  __iter_comp_val(_Iter_equal_to_iter)
  { return _Iter_equal_to_val(); }

  template<typename _Compare>
    struct _Iter_comp_iter
    {
      _Compare _M_comp;

      explicit constexpr
      _Iter_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

      template<typename _Iterator1, typename _Iterator2>
        constexpr
        bool
        operator()(_Iterator1 __it1, _Iterator2 __it2)
        { return bool(_M_comp(*__it1, *__it2)); }
    };

  template<typename _Compare>
    constexpr
    inline _Iter_comp_iter<_Compare>
    __iter_comp_iter(_Compare __comp)
    { return _Iter_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Iter_comp_val
    {
      _Compare _M_comp;

     
      explicit
      _Iter_comp_val(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

     
      explicit
      _Iter_comp_val(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


     
      explicit
      _Iter_comp_val(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Iterator, typename _Value>

 bool
 operator()(_Iterator __it, _Value& __val)
 { return bool(_M_comp(*__it, __val)); }
    };

  template<typename _Compare>
   
    inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Compare __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
   
    inline _Iter_comp_val<_Compare>
    __iter_comp_val(_Iter_comp_iter<_Compare> __comp)
    { return _Iter_comp_val<_Compare>(std::move(__comp)); }

  template<typename _Compare>
    struct _Val_comp_iter
    {
      _Compare _M_comp;

     
      explicit
      _Val_comp_iter(_Compare __comp)
 : _M_comp(std::move(__comp))
      { }

     
      explicit
      _Val_comp_iter(const _Iter_comp_iter<_Compare>& __comp)
 : _M_comp(__comp._M_comp)
      { }


     
      explicit
      _Val_comp_iter(_Iter_comp_iter<_Compare>&& __comp)
 : _M_comp(std::move(__comp._M_comp))
      { }


      template<typename _Value, typename _Iterator>

 bool
 operator()(_Value& __val, _Iterator __it)
 { return bool(_M_comp(__val, *__it)); }
    };

  template<typename _Compare>
   
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Compare __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Compare>
   
    inline _Val_comp_iter<_Compare>
    __val_comp_iter(_Iter_comp_iter<_Compare> __comp)
    { return _Val_comp_iter<_Compare>(std::move(__comp)); }

  template<typename _Value>
    struct _Iter_equals_val
    {
      _Value& _M_value;

     
      explicit
      _Iter_equals_val(_Value& __value)
 : _M_value(__value)
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return *__it == _M_value; }
    };

  template<typename _Value>
   
    inline _Iter_equals_val<_Value>
    __iter_equals_val(_Value& __val)
    { return _Iter_equals_val<_Value>(__val); }

  template<typename _Iterator1>
    struct _Iter_equals_iter
    {
      _Iterator1 _M_it1;

     
      explicit
      _Iter_equals_iter(_Iterator1 __it1)
 : _M_it1(__it1)
      { }

      template<typename _Iterator2>

 bool
 operator()(_Iterator2 __it2)
 { return *__it2 == *_M_it1; }
    };

  template<typename _Iterator>
   
    inline _Iter_equals_iter<_Iterator>
    __iter_comp_iter(_Iter_equal_to_iter, _Iterator __it)
    { return _Iter_equals_iter<_Iterator>(__it); }

  template<typename _Predicate>
    struct _Iter_pred
    {
      _Predicate _M_pred;

     
      explicit
      _Iter_pred(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
   
    inline _Iter_pred<_Predicate>
    __pred_iter(_Predicate __pred)
    { return _Iter_pred<_Predicate>(std::move(__pred)); }

  template<typename _Compare, typename _Value>
    struct _Iter_comp_to_val
    {
      _Compare _M_comp;
      _Value& _M_value;

     
      _Iter_comp_to_val(_Compare __comp, _Value& __value)
 : _M_comp(std::move(__comp)), _M_value(__value)
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return bool(_M_comp(*__it, _M_value)); }
    };

  template<typename _Compare, typename _Value>
    _Iter_comp_to_val<_Compare, _Value>
   
    __iter_comp_val(_Compare __comp, _Value &__val)
    {
      return _Iter_comp_to_val<_Compare, _Value>(std::move(__comp), __val);
    }

  template<typename _Compare, typename _Iterator1>
    struct _Iter_comp_to_iter
    {
      _Compare _M_comp;
      _Iterator1 _M_it1;

     
      _Iter_comp_to_iter(_Compare __comp, _Iterator1 __it1)
 : _M_comp(std::move(__comp)), _M_it1(__it1)
      { }

      template<typename _Iterator2>

 bool
 operator()(_Iterator2 __it2)
 { return bool(_M_comp(*__it2, *_M_it1)); }
    };

  template<typename _Compare, typename _Iterator>
   
    inline _Iter_comp_to_iter<_Compare, _Iterator>
    __iter_comp_iter(_Iter_comp_iter<_Compare> __comp, _Iterator __it)
    {
      return _Iter_comp_to_iter<_Compare, _Iterator>(
   std::move(__comp._M_comp), __it);
    }

  template<typename _Predicate>
    struct _Iter_negate
    {
      _Predicate _M_pred;

     
      explicit
      _Iter_negate(_Predicate __pred)
 : _M_pred(std::move(__pred))
      { }

      template<typename _Iterator>

 bool
 operator()(_Iterator __it)
 { return !bool(_M_pred(*__it)); }
    };

  template<typename _Predicate>
   
    inline _Iter_negate<_Predicate>
    __negate(_Iter_pred<_Predicate> __pred)
    { return _Iter_negate<_Predicate>(std::move(__pred._M_pred)); }

}
}
# 72 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 2 3




# 1 "/usr/aarch64-linux-gnu/include/c++/15/bit" 1 3
# 38 "/usr/aarch64-linux-gnu/include/c++/15/bit" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/concepts" 1 3
# 38 "/usr/aarch64-linux-gnu/include/c++/15/concepts" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/version.h" 1 3
# 39 "/usr/aarch64-linux-gnu/include/c++/15/concepts" 2 3
# 39 "/usr/aarch64-linux-gnu/include/c++/15/bit" 2 3
# 63 "/usr/aarch64-linux-gnu/include/c++/15/bit" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/bits/version.h" 1 3
# 64 "/usr/aarch64-linux-gnu/include/c++/15/bit" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

# 157 "/usr/aarch64-linux-gnu/include/c++/15/bit" 3
  template<typename _Tp>
    constexpr _Tp
    __rotl(_Tp __x, int __s) noexcept
    {
      constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
      if constexpr ((_Nd & (_Nd - 1)) == 0)
 {


   constexpr unsigned __uNd = _Nd;
   const unsigned __r = __s;
   return (__x << (__r % __uNd)) | (__x >> ((-__r) % __uNd));
 }
      const int __r = __s % _Nd;
      if (__r == 0)
 return __x;
      else if (__r > 0)
 return (__x << __r) | (__x >> ((_Nd - __r) % _Nd));
      else
 return (__x >> -__r) | (__x << ((_Nd + __r) % _Nd));
    }

  template<typename _Tp>
    constexpr _Tp
    __rotr(_Tp __x, int __s) noexcept
    {
      constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
      if constexpr ((_Nd & (_Nd - 1)) == 0)
 {


   constexpr unsigned __uNd = _Nd;
   const unsigned __r = __s;
   return (__x >> (__r % __uNd)) | (__x << ((-__r) % __uNd));
 }
      const int __r = __s % _Nd;
      if (__r == 0)
 return __x;
      else if (__r > 0)
 return (__x >> __r) | (__x << ((_Nd - __r) % _Nd));
      else
 return (__x << -__r) | (__x >> ((_Nd + __r) % _Nd));
    }

  template<typename _Tp>
    constexpr int
    __countl_zero(_Tp __x) noexcept
    {
      using __gnu_cxx::__int_traits;
      constexpr auto _Nd = __int_traits<_Tp>::__digits;


      return __builtin_clzg(__x, _Nd);
# 249 "/usr/aarch64-linux-gnu/include/c++/15/bit" 3
    }

  template<typename _Tp>
    constexpr int
    __countl_one(_Tp __x) noexcept
    {
      return std::__countl_zero<_Tp>((_Tp)~__x);
    }

  template<typename _Tp>
    constexpr int
    __countr_zero(_Tp __x) noexcept
    {
      using __gnu_cxx::__int_traits;
      constexpr auto _Nd = __int_traits<_Tp>::__digits;


      return __builtin_ctzg(__x, _Nd);
# 294 "/usr/aarch64-linux-gnu/include/c++/15/bit" 3
    }

  template<typename _Tp>
    constexpr int
    __countr_one(_Tp __x) noexcept
    {
      return std::__countr_zero((_Tp)~__x);
    }

  template<typename _Tp>
    constexpr int
    __popcount(_Tp __x) noexcept
    {

      return __builtin_popcountg(__x);
# 334 "/usr/aarch64-linux-gnu/include/c++/15/bit" 3
    }

  template<typename _Tp>
    constexpr bool
    __has_single_bit(_Tp __x) noexcept
    { return std::__popcount(__x) == 1; }

  template<typename _Tp>
    constexpr _Tp
    __bit_ceil(_Tp __x) noexcept
    {
      using __gnu_cxx::__int_traits;
      constexpr auto _Nd = __int_traits<_Tp>::__digits;
      if (__x == 0 || __x == 1)
        return 1;
      auto __shift_exponent = _Nd - std::__countl_zero((_Tp)(__x - 1u));




      if (!std::__is_constant_evaluated())
 {
   do { if (std::__is_constant_evaluated() && !bool(__shift_exponent != __int_traits<_Tp>::__digits)) std::__glibcxx_assert_fail(); } while (false);
 }

      using __promoted_type = decltype(__x << 1);
      if constexpr (!is_same<__promoted_type, _Tp>::value)
 {





   const int __extra_exp = sizeof(__promoted_type) / sizeof(_Tp) / 2;
   __shift_exponent |= (__shift_exponent & _Nd) << __extra_exp;
 }
      return (_Tp)1u << __shift_exponent;
    }

  template<typename _Tp>
    constexpr _Tp
    __bit_floor(_Tp __x) noexcept
    {
      constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
      if (__x == 0)
        return 0;
      return (_Tp)1u << (_Nd - std::__countl_zero((_Tp)(__x >> 1)));
    }

  template<typename _Tp>
    constexpr int
    __bit_width(_Tp __x) noexcept
    {
      constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
      return _Nd - std::__countl_zero(__x);
    }
# 496 "/usr/aarch64-linux-gnu/include/c++/15/bit" 3

}
# 77 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 2 3






namespace std __attribute__ ((__visibility__ ("default")))
{






  template<typename _Tp, typename _Up>
    constexpr
    inline int
    __memcmp(const _Tp* __first1, const _Up* __first2, size_t __num)
    {

      static_assert(sizeof(_Tp) == sizeof(_Up), "can be compared with memcmp");
# 109 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
 return __builtin_memcmp(__first1, __first2, sizeof(_Tp) * __num);
    }
# 153 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    inline void
    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
    {

     

     
# 186 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
      swap(*__a, *__b);

    }
# 202 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    _ForwardIterator2
    swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
  _ForwardIterator2 __first2)
    {

     

     

      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2)
 std::iter_swap(__first1, __first2);
      return __first2;
    }
# 231 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _Tp>
    [[__nodiscard__]] constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b)
    {

     

      if (__b < __a)
 return __b;
      return __a;
    }
# 255 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _Tp>
    [[__nodiscard__]] constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b)
    {

     

      if (__a < __b)
 return __b;
      return __a;
    }
# 279 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    [[__nodiscard__]] constexpr
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__b, __a))
 return __b;
      return __a;
    }
# 301 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _Tp, typename _Compare>
    [[__nodiscard__]] constexpr
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {

      if (__comp(__a, __b))
 return __b;
      return __a;
    }



  template<typename _Tp, typename _Ref, typename _Ptr>
    struct _Deque_iterator;

  struct _Bit_iterator;






  template<typename _CharT>
    struct char_traits;

  template<typename _CharT, typename _Traits>
    class istreambuf_iterator;

  template<typename _CharT, typename _Traits>
    class ostreambuf_iterator;

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(_CharT*, _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
      ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(const _CharT*, const _CharT*,
     ostreambuf_iterator<_CharT, char_traits<_CharT> >);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
        _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT, char_traits<_CharT> >,
     istreambuf_iterator<_CharT, char_traits<_CharT> >, _CharT*);

  template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value,
      std::_Deque_iterator<_CharT, _CharT&, _CharT*> >::__type
    __copy_move_a2(
 istreambuf_iterator<_CharT, char_traits<_CharT> >,
 istreambuf_iterator<_CharT, char_traits<_CharT> >,
 std::_Deque_iterator<_CharT, _CharT&, _CharT*>);
# 395 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wc++17-extensions"
  template<bool _IsMove, typename _OutIter, typename _InIter>
    __attribute__((__always_inline__))
    inline void
    __assign_one(_OutIter& __out, _InIter& __in)
    {

      if constexpr (_IsMove)
 *__out = std::move(*__in);
      else

 *__out = *__in;
    }

  template<bool _IsMove, typename _InIter, typename _Sent, typename _OutIter>
   
    inline _OutIter
    __copy_move_a2(_InIter __first, _Sent __last, _OutIter __result)
    {
      typedef __decltype(*__first) _InRef;
      typedef __decltype(*__result) _OutRef;
      if constexpr (!__is_trivially_assignable(_OutRef, _InRef))
 { }
      else if (std::__is_constant_evaluated())
 { }
      else if constexpr (__memcpyable<_OutIter, _InIter>::__value)
 {
   ptrdiff_t __n = std::distance(__first, __last);
   if (__builtin_expect(__n > 1, true))
     {
       __builtin_memmove(__result,
    __first,
    __n * sizeof(*__first));
       __result += __n;
     }
   else if (__n == 1)
     {
       std::__assign_one<_IsMove>(__result, __first);
       ++__result;
     }
   return __result;
 }
# 461 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
      for (; __first != __last; ++__result, (void)++__first)
 std::__assign_one<_IsMove>(__result, __first);
      return __result;
    }
#pragma GCC diagnostic pop

  template<bool _IsMove,
    typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_a1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
     std::_Deque_iterator<_Tp, _Ref, _Ptr>,
     _OI);

  template<bool _IsMove,
    typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    std::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_a1(std::_Deque_iterator<_ITp, _IRef, _IPtr>,
     std::_Deque_iterator<_ITp, _IRef, _IPtr>,
     std::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      std::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_a1(_II, _II, std::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
    __attribute__((__always_inline__))
   
    inline _OI
    __copy_move_a1(_II __first, _II __last, _OI __result)
    { return std::__copy_move_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove, typename _II, typename _OI>
    __attribute__((__always_inline__))
   
    inline _OI
    __copy_move_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
  std::__copy_move_a1<_IsMove>(std::__niter_base(__first),
          std::__niter_base(__last),
          std::__niter_base(__result)));
    }

  template<bool _IsMove,
    typename _Ite, typename _Seq, typename _Cat, typename _OI>
   
    _OI
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
    const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
    _OI);

  template<bool _IsMove,
    typename _II, typename _Ite, typename _Seq, typename _Cat>
   
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_a(_II, _II,
    const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
    typename _IIte, typename _ISeq, typename _ICat,
    typename _OIte, typename _OSeq, typename _OCat>
   
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
    const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
    const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wc++17-extensions"
  template<typename _InputIterator, typename _Size, typename _OutputIterator>
   
    _OutputIterator
    __copy_n_a(_InputIterator __first, _Size __n, _OutputIterator __result,
        bool)
    {
      typedef __decltype(*__first) _InRef;
      typedef __decltype(*__result) _OutRef;
      if constexpr (!__is_trivially_assignable(_OutRef, _InRef))
 { }




      else if constexpr (__memcpyable<_OutputIterator,
            _InputIterator>::__value)
 {
   if (__builtin_expect(__n > 1, true))
     {
       __builtin_memmove(__result,
    __first,
    __n * sizeof(*__first));
       __result += __n;
     }
   else if (__n == 1)
     *__result++ = *__first;
   return __result;
 }
# 581 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
      if (__n > 0)
 {
   while (true)
     {
       *__result = *__first;
       ++__result;
       if (--__n > 0)
  ++__first;
       else
  break;
     }
 }
      return __result;
    }
#pragma GCC diagnostic pop


  template<typename _CharT, typename _Size>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value, _CharT*>::__type
    __copy_n_a(istreambuf_iterator<_CharT, char_traits<_CharT> >,
        _Size, _CharT*, bool);

  template<typename _CharT, typename _Size>
    typename __gnu_cxx::__enable_if<
      __is_char<_CharT>::__value,
      std::_Deque_iterator<_CharT, _CharT&, _CharT*> >::__type
    __copy_n_a(istreambuf_iterator<_CharT, char_traits<_CharT> >, _Size,
        std::_Deque_iterator<_CharT, _CharT&, _CharT*>,
        bool);
# 630 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _II, typename _OI>
   
    inline _OI
    copy(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a<__is_move_iterator<_II>::__value>
      (std::__miter_base(__first), std::__miter_base(__last), __result);
    }
# 663 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _II, typename _OI>
   
    inline _OI
    move(_II __first, _II __last, _OI __result)
    {

     
     

      ;

      return std::__copy_move_a<true>(std::__miter_base(__first),
          std::__miter_base(__last), __result);
    }






#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wc++17-extensions"
  template<bool _IsMove, typename _BI1, typename _BI2>
   
    inline _BI2
    __copy_move_backward_a2(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      typedef __decltype(*__first) _InRef;
      typedef __decltype(*__result) _OutRef;
      if constexpr (!__is_trivially_assignable(_OutRef, _InRef))
       { }




      else if constexpr (__memcpyable<_BI2, _BI1>::__value)
 {
   ptrdiff_t __n = std::distance(__first, __last);
   std::advance(__result, -__n);
   if (__builtin_expect(__n > 1, true))
     {
       __builtin_memmove(__result,
    __first,
    __n * sizeof(*__first));
     }
   else if (__n == 1)
     std::__assign_one<_IsMove>(__result, __first);
   return __result;
 }
# 735 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
      while (__first != __last)
 {
   --__last;
   --__result;
   std::__assign_one<_IsMove>(__result, __last);
 }
      return __result;
    }
#pragma GCC diagnostic pop




  template<bool _IsMove, typename _BI1, typename _BI2>
    __attribute__((__always_inline__))
   
    inline _BI2
    __copy_move_backward_a1(_BI1 __first, _BI1 __last, _BI2 __result)
    { return std::__copy_move_backward_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove,
    typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_backward_a1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
       std::_Deque_iterator<_Tp, _Ref, _Ptr>,
       _OI);

  template<bool _IsMove,
    typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    std::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_backward_a1(
   std::_Deque_iterator<_ITp, _IRef, _IPtr>,
   std::_Deque_iterator<_ITp, _IRef, _IPtr>,
   std::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      std::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_backward_a1(_II, _II,
       std::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
    __attribute__((__always_inline__))
   
    inline _OI
    __copy_move_backward_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
  std::__copy_move_backward_a1<_IsMove>
    (std::__niter_base(__first), std::__niter_base(__last),
     std::__niter_base(__result)));
    }

  template<bool _IsMove,
    typename _Ite, typename _Seq, typename _Cat, typename _OI>
   
    _OI
    __copy_move_backward_a(
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
  _OI);

  template<bool _IsMove,
    typename _II, typename _Ite, typename _Seq, typename _Cat>
   
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_backward_a(_II, _II,
  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
    typename _IIte, typename _ISeq, typename _ICat,
    typename _OIte, typename _OSeq, typename _OCat>
   
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_backward_a(
  const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
  const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
  const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);
# 833 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
    __attribute__((__always_inline__))
   
    inline _BI2
    copy_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     

      ;

      return std::__copy_move_backward_a<__is_move_iterator<_BI1>::__value>
      (std::__miter_base(__first), std::__miter_base(__last), __result);
    }
# 869 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _BI1, typename _BI2>
    __attribute__((__always_inline__))
   
    inline _BI2
    move_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {

     
     
     

      ;

      return std::__copy_move_backward_a<true>(std::__miter_base(__first),
            std::__miter_base(__last),
            __result);
    }






#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wc++17-extensions"
  template<typename _ForwardIterator, typename _Tp>
   
    inline void
    __fill_a1(_ForwardIterator __first, _ForwardIterator __last,
       const _Tp& __value)
    {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wlong-long"




      const bool __load_outside_loop =


     __is_trivially_constructible(_Tp, const _Tp&)
     && __is_trivially_assignable(__decltype(*__first), const _Tp&)




     && sizeof(_Tp) <= sizeof(long long);
#pragma GCC diagnostic pop



      typedef typename __gnu_cxx::__conditional_type<__load_outside_loop,
           const _Tp,
           const _Tp&>::__type _Up;
      _Up __val(__value);
      for (; __first != __last; ++__first)
 *__first = __val;
    }
#pragma GCC diagnostic pop


  template<typename _Up, typename _Tp>
   
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Up>::__value
        && (__are_same<_Up, _Tp>::__value
       || __memcpyable_integer<_Tp>::__width),
      void>::__type
    __fill_a1(_Up* __first, _Up* __last, const _Tp& __x)
    {


      const _Up __val = __x;
# 950 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
      if (const size_t __len = __last - __first)
 __builtin_memset(__first, static_cast<unsigned char>(__val), __len);
    }

  template<typename _Ite, typename _Cont, typename _Tp>
    __attribute__((__always_inline__))
   
    inline void
    __fill_a1(::__gnu_cxx::__normal_iterator<_Ite, _Cont> __first,
       ::__gnu_cxx::__normal_iterator<_Ite, _Cont> __last,
       const _Tp& __value)
    { std::__fill_a1(__first.base(), __last.base(), __value); }

  template<typename _Tp, typename _VTp>
    void
    __fill_a1(const std::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
       const std::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
       const _VTp&);

 
  void
  __fill_a1(std::_Bit_iterator, std::_Bit_iterator,
     const bool&);

  template<typename _FIte, typename _Tp>
    __attribute__((__always_inline__))
   
    inline void
    __fill_a(_FIte __first, _FIte __last, const _Tp& __value)
    { std::__fill_a1(__first, __last, __value); }

  template<typename _Ite, typename _Seq, typename _Cat, typename _Tp>
   
    void
    __fill_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
      const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
      const _Tp&);
# 1000 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
    __attribute__((__always_inline__))
   
    inline void
    fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value)
    {

     

      ;

      std::__fill_a(__first, __last, __value);
    }

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wlong-long"

  inline constexpr int
  __size_to_integer(int __n) { return __n; }
  inline constexpr unsigned
  __size_to_integer(unsigned __n) { return __n; }
  inline constexpr long
  __size_to_integer(long __n) { return __n; }
  inline constexpr unsigned long
  __size_to_integer(unsigned long __n) { return __n; }
  inline constexpr long long
  __size_to_integer(long long __n) { return __n; }
  inline constexpr unsigned long long
  __size_to_integer(unsigned long long __n) { return __n; }


  __extension__ inline constexpr __int128
  __size_to_integer(__int128 __n) { return __n; }
  __extension__ inline constexpr unsigned __int128
  __size_to_integer(unsigned __int128 __n) { return __n; }
# 1055 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  inline constexpr long long
  __size_to_integer(float __n) { return (long long)__n; }
  inline constexpr long long
  __size_to_integer(double __n) { return (long long)__n; }
  inline constexpr long long
  __size_to_integer(long double __n) { return (long long)__n; }




#pragma GCC diagnostic pop

#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wc++17-extensions"
#pragma GCC diagnostic ignored "-Wlong-long"
  template<typename _OutputIterator, typename _Size, typename _Tp>
   
    inline _OutputIterator
    __fill_n_a1(_OutputIterator __first, _Size __n, const _Tp& __value)
    {

      const bool __load_outside_loop =


     __is_trivially_constructible(_Tp, const _Tp&)
     && __is_trivially_assignable(__decltype(*__first), const _Tp&)




     && sizeof(_Tp) <= sizeof(long long);



      typedef typename __gnu_cxx::__conditional_type<__load_outside_loop,
           const _Tp,
           const _Tp&>::__type _Up;
      _Up __val(__value);
      for (; __n > 0; --__n, (void) ++__first)
 *__first = __val;
      return __first;
    }
#pragma GCC diagnostic pop

  template<typename _Ite, typename _Seq, typename _Cat, typename _Size,
    typename _Tp>
   
    ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __fill_n_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>& __first,
        _Size __n, const _Tp& __value,
        std::input_iterator_tag);

  template<typename _OutputIterator, typename _Size, typename _Tp>
    __attribute__((__always_inline__))
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::output_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
    __attribute__((__always_inline__))
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::input_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
    __attribute__((__always_inline__))
   
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
        std::random_access_iterator_tag)
    {

      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");

      if (__n <= 0)
 return __first;

      ;

      std::__fill_a(__first, __first + __n, __value);
      return __first + __n;
    }
# 1169 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _OI, typename _Size, typename _Tp>
    __attribute__((__always_inline__))
   
    inline _OI
    fill_n(_OI __first, _Size __n, const _Tp& __value)
    {

     

      return std::__fill_n_a(__first, std::__size_to_integer(__n), __value,
          std::__iterator_category(__first));
    }

  template<bool _BoolType>
    struct __equal
    {
      template<typename _II1, typename _II2>

 static bool
 equal(_II1 __first1, _II1 __last1, _II2 __first2)
 {
   for (; __first1 != __last1; ++__first1, (void) ++__first2)
     if (!(*__first1 == *__first2))
       return false;
   return true;
 }
    };

  template<>
    struct __equal<true>
    {
      template<typename _Tp>

 static bool
 equal(const _Tp* __first1, const _Tp* __last1, const _Tp* __first2)
 {
   if (const size_t __len = (__last1 - __first1))
     return !std::__memcmp(__first1, __first2, __len);
   return true;
 }
    };

  template<typename _Tp, typename _Ref, typename _Ptr, typename _II>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(std::_Deque_iterator<_Tp, _Ref, _Ptr>,
   std::_Deque_iterator<_Tp, _Ref, _Ptr>,
   _II);

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __equal_aux1(std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
   std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
   std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _II, typename _Tp, typename _Ref, typename _Ptr>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(_II, _II,
  std::_Deque_iterator<_Tp, _Ref, _Ptr>);

  template<typename _II1, typename _II2>
   
    inline bool
    __equal_aux1(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      const bool __simple = ((__is_integer<_ValueType1>::__value

    || __is_pointer(_ValueType1)



    || is_same_v<_ValueType1, byte>

        ) && __memcmpable<_II1, _II2>::__value);
      return std::__equal<__simple>::equal(__first1, __last1, __first2);
    }

  template<typename _II1, typename _II2>
    __attribute__((__always_inline__))
   
    inline bool
    __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      return std::__equal_aux1(std::__niter_base(__first1),
          std::__niter_base(__last1),
          std::__niter_base(__first2));
    }

  template<typename _II1, typename _Seq1, typename _Cat1, typename _II2>
   
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  _II2);

  template<typename _II1, typename _II2, typename _Seq2, typename _Cat2>
   
    bool
    __equal_aux(_II1, _II1,
  const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename _II1, typename _Seq1, typename _Cat1,
    typename _II2, typename _Seq2, typename _Cat2>
   
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename, typename>
    struct __lc_rai
    {
      template<typename _II1, typename _II2>

 static _II1
 __newlast1(_II1, _II1 __last1, _II2, _II2)
 { return __last1; }

      template<typename _II>

 static bool
 __cnd2(_II __first, _II __last)
 { return __first != __last; }
    };

  template<>
    struct __lc_rai<random_access_iterator_tag, random_access_iterator_tag>
    {
      template<typename _RAI1, typename _RAI2>

 static _RAI1
 __newlast1(_RAI1 __first1, _RAI1 __last1,
     _RAI2 __first2, _RAI2 __last2)
 {
   const typename iterator_traits<_RAI1>::difference_type
     __diff1 = __last1 - __first1;
   const typename iterator_traits<_RAI2>::difference_type
     __diff2 = __last2 - __first2;
   return __diff2 < __diff1 ? __first1 + __diff2 : __last1;
 }

      template<typename _RAI>
 static bool
 __cnd2(_RAI, _RAI)
 { return true; }
    };

  template<typename _II1, typename _II2, typename _Compare>
   
    bool
    __lexicographical_compare_impl(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2,
       _Compare __comp)
    {
      typedef typename iterator_traits<_II1>::iterator_category _Category1;
      typedef typename iterator_traits<_II2>::iterator_category _Category2;
      typedef std::__lc_rai<_Category1, _Category2> __rai_type;

      __last1 = __rai_type::__newlast1(__first1, __last1, __first2, __last2);
      for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
    ++__first1, (void)++__first2)
 {
   if (__comp(__first1, __first2))
     return true;
   if (__comp(__first2, __first1))
     return false;
 }
      return __first1 == __last1 && __first2 != __last2;
    }

  template<bool _BoolType>
    struct __lexicographical_compare
    {
      template<typename _II1, typename _II2>

 static bool
 __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
 {
   using __gnu_cxx::__ops::__iter_less_iter;
   return std::__lexicographical_compare_impl(__first1, __last1,
           __first2, __last2,
           __iter_less_iter());
 }

      template<typename _II1, typename _II2>

 static int
 __3way(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
 {
   while (__first1 != __last1)
     {
       if (__first2 == __last2)
  return +1;
       if (*__first1 < *__first2)
  return -1;
       if (*__first2 < *__first1)
  return +1;
       ++__first1;
       ++__first2;
     }
   return int(__first2 == __last2) - 1;
 }
    };

  template<>
    struct __lexicographical_compare<true>
    {
      template<typename _Tp, typename _Up>

 static bool
 __lc(const _Tp* __first1, const _Tp* __last1,
      const _Up* __first2, const _Up* __last2)
 { return __3way(__first1, __last1, __first2, __last2) < 0; }

      template<typename _Tp, typename _Up>

 static ptrdiff_t
 __3way(const _Tp* __first1, const _Tp* __last1,
        const _Up* __first2, const _Up* __last2)
 {
   const size_t __len1 = __last1 - __first1;
   const size_t __len2 = __last2 - __first2;
   if (const size_t __len = std::min(__len1, __len2))
     if (int __result = std::__memcmp(__first1, __first2, __len))
       return __result;
   return ptrdiff_t(__len1 - __len2);
 }
    };

  template<typename _II1, typename _II2>
   
    inline bool
    __lexicographical_compare_aux1(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;

      const bool __simple =
 (__is_memcmp_ordered_with<_ValueType1, _ValueType2>::__value
  && __is_pointer(_II1) && __is_pointer(_II2)







  );




      return std::__lexicographical_compare<__simple>::__lc(__first1, __last1,
           __first2, __last2);
    }

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2>
    bool
    __lexicographical_compare_aux1(
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 _Tp2*, _Tp2*);

  template<typename _Tp1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __lexicographical_compare_aux1(_Tp1*, _Tp1*,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
    typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __lexicographical_compare_aux1(
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>,
 std::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _II1, typename _II2>
   
    inline bool
    __lexicographical_compare_aux(_II1 __first1, _II1 __last1,
      _II2 __first2, _II2 __last2)
    {
      return std::__lexicographical_compare_aux1(std::__niter_base(__first1),
       std::__niter_base(__last1),
       std::__niter_base(__first2),
       std::__niter_base(__last2));
    }

  template<typename _Iter1, typename _Seq1, typename _Cat1,
    typename _II2>
   
    bool
    __lexicographical_compare_aux(
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  _II2, _II2);

  template<typename _II1,
    typename _Iter2, typename _Seq2, typename _Cat2>
   
    bool
    __lexicographical_compare_aux(
  _II1, _II1,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&);

  template<typename _Iter1, typename _Seq1, typename _Cat1,
    typename _Iter2, typename _Seq2, typename _Cat2>
   
    bool
    __lexicographical_compare_aux(
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter1, _Seq1, _Cat1>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&,
  const ::__gnu_debug::_Safe_iterator<_Iter2, _Seq2, _Cat2>&);

  template<typename _ForwardIterator, typename _Tp, typename _Compare>
   
    _ForwardIterator
    __lower_bound(_ForwardIterator __first, _ForwardIterator __last,
    const _Tp& __val, _Compare __comp)
    {
      typedef typename iterator_traits<_ForwardIterator>::difference_type
 _DistanceType;

      _DistanceType __len = std::distance(__first, __last);

      while (__len > 0)
 {
   _DistanceType __half = __len >> 1;
   _ForwardIterator __middle = __first;
   std::advance(__middle, __half);
   if (__comp(__middle, __val))
     {
       __first = __middle;
       ++__first;
       __len = __len - __half - 1;
     }
   else
     __len = __half;
 }
      return __first;
    }
# 1532 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _ForwardIterator, typename _Tp>
    [[__nodiscard__]]
    inline _ForwardIterator
    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
  const _Tp& __val)
    {

     
     

      ;

      return std::__lower_bound(__first, __last, __val,
    __gnu_cxx::__ops::__iter_less_val());
    }



  template<typename _Tp>
    inline constexpr _Tp
    __lg(_Tp __n)
    {

      return std::__bit_width(make_unsigned_t<_Tp>(__n)) - 1;
# 1568 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
    }


# 1584 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
    [[__nodiscard__]]
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2)
    {

     
     
     


      ;

      return std::__equal_aux(__first1, __last1, __first2);
    }
# 1615 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    [[__nodiscard__]]
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

      for (; __first1 != __last1; ++__first1, (void)++__first2)
 if (!bool(__binary_pred(*__first1, *__first2)))
   return false;
      return true;
    }


#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wc++17-extensions"


  template<typename _II1, typename _II2>
   
    inline bool
    __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {
      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_II1>::iterator_category;
      using _Cat2 = typename iterator_traits<_II2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if constexpr (_RAIters::value)
 {
   if ((__last1 - __first1) != (__last2 - __first2))
     return false;
   return std::equal(__first1, __last1, __first2);
 }
      else
 {
   for (; __first1 != __last1 && __first2 != __last2;
        ++__first1, (void)++__first2)
     if (!(*__first1 == *__first2))
       return false;
   return __first1 == __last1 && __first2 == __last2;
 }
    }


  template<typename _II1, typename _II2, typename _BinaryPredicate>
   
    inline bool
    __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2,
      _BinaryPredicate __binary_pred)
    {
      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_II1>::iterator_category;
      using _Cat2 = typename iterator_traits<_II2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if constexpr (_RAIters::value)
 {
   if ((__last1 - __first1) != (__last2 - __first2))
     return false;
   return std::equal(__first1, __last1, __first2,
           __binary_pred);
 }
      else
 {
   for (; __first1 != __last1 && __first2 != __last2;
        ++__first1, (void)++__first2)
     if (!bool(__binary_pred(*__first1, *__first2)))
       return false;
   return __first1 == __last1 && __first2 == __last2;
 }
    }
#pragma GCC diagnostic pop
# 1706 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
    [[__nodiscard__]]
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {

     
     
     


      ;
      ;

      return std::__equal4(__first1, __last1, __first2, __last2);
    }
# 1739 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    [[__nodiscard__]]
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
   _IIter2 __first2, _IIter2 __last2, _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      return std::__equal4(__first1, __last1, __first2, __last2,
          __binary_pred);
    }
# 1771 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2>
    [[__nodiscard__]]
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2)
    {





     
     
     
     
      ;
      ;

      return std::__lexicographical_compare_aux(__first1, __last1,
      __first2, __last2);
    }
# 1806 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _II1, typename _II2, typename _Compare>
    [[__nodiscard__]]
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
       _II2 __first2, _II2 __last2, _Compare __comp)
    {

     
     
      ;
      ;

      return std::__lexicographical_compare_impl
 (__first1, __last1, __first2, __last2,
  __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }
# 1921 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 1949 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
    [[__nodiscard__]]
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2)
    {

     
     
     


      ;

      return std::__mismatch(__first1, __last1, __first2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 1983 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    [[__nodiscard__]]
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {

     
     
      ;

      return std::__mismatch(__first1, __last1, __first2,
 __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }


  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
   
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
        _InputIterator2 __first2, _InputIterator2 __last2,
        _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __first2 != __last2
      && __binary_pred(__first1, __first2))
 {
   ++__first1;
   ++__first2;
 }
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }
# 2031 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2>
    [[__nodiscard__]]
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2)
    {

     
     
     


      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_equal_to_iter());
    }
# 2067 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _InputIterator1, typename _InputIterator2,
    typename _BinaryPredicate>
    [[__nodiscard__]]
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
      _InputIterator2 __first2, _InputIterator2 __last2,
      _BinaryPredicate __binary_pred)
    {

     
     
      ;
      ;

      return std::__mismatch(__first1, __last1, __first2, __last2,
        __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }





  template<typename _Iterator, typename _Predicate>
   
    inline _Iterator
    __find_if(_Iterator __first, _Iterator __last, _Predicate __pred)
    {
#pragma GCC unroll 4
      while (__first != __last && !__pred(__first))
 ++__first;
      return __first;
    }

  template<typename _InputIterator, typename _Predicate>
   
    typename iterator_traits<_InputIterator>::difference_type
    __count_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    {
      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      for (; __first != __last; ++__first)
 if (__pred(__first))
   ++__n;
      return __n;
    }

  template<typename _ForwardIterator, typename _Predicate>
   
    _ForwardIterator
    __remove_if(_ForwardIterator __first, _ForwardIterator __last,
  _Predicate __pred)
    {
      __first = std::__find_if(__first, __last, __pred);
      if (__first == __last)
 return __first;
      _ForwardIterator __result = __first;
      ++__first;
      for (; __first != __last; ++__first)
 if (!__pred(__first))
   {
     *__result = std::move(*__first);
     ++__result;
   }
      return __result;
    }

  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
   
    _ForwardIterator1
    __search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
      _ForwardIterator2 __first2, _ForwardIterator2 __last2,
      _BinaryPredicate __predicate)
    {

      if (__first1 == __last1 || __first2 == __last2)
 return __first1;


      _ForwardIterator2 __p1(__first2);
      if (++__p1 == __last2)
 return std::__find_if(__first1, __last1,
  __gnu_cxx::__ops::__iter_comp_iter(__predicate, __first2));


      _ForwardIterator1 __current = __first1;

      for (;;)
 {
   __first1 =
     std::__find_if(__first1, __last1,
  __gnu_cxx::__ops::__iter_comp_iter(__predicate, __first2));

   if (__first1 == __last1)
     return __last1;

   _ForwardIterator2 __p = __p1;
   __current = __first1;
   if (++__current == __last1)
     return __last1;

   while (__predicate(__current, __p))
     {
       if (++__p == __last2)
  return __first1;
       if (++__current == __last1)
  return __last1;
     }
   ++__first1;
 }
      return __first1;
    }


  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
   
    bool
    __is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
       _ForwardIterator2 __first2, _BinaryPredicate __pred)
    {


      for (; __first1 != __last1; ++__first1, (void)++__first2)
 if (!__pred(__first1, __first2))
   break;

      if (__first1 == __last1)
 return true;



      _ForwardIterator2 __last2 = __first2;
      std::advance(__last2, std::distance(__first1, __last1));
      for (_ForwardIterator1 __scan = __first1; __scan != __last1; ++__scan)
 {
   if (__scan != std::__find_if(__first1, __scan,
     __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan)))
     continue;

   auto __matches
     = std::__count_if(__first2, __last2,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan));
   if (0 == __matches ||
       std::__count_if(__scan, __last1,
   __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan))
       != __matches)
     return false;
 }
      return true;
    }
# 2230 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2>
   
    inline bool
    is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
     _ForwardIterator2 __first2)
    {

     
     
     


      ;

      return std::__is_permutation(__first1, __last1, __first2,
       __gnu_cxx::__ops::__iter_equal_to_iter());
    }



# 2272 "/usr/aarch64-linux-gnu/include/c++/15/bits/stl_algobase.h" 3
  template<typename _ForwardIterator1, typename _ForwardIterator2,
    typename _BinaryPredicate>
   
    inline _ForwardIterator1
    search(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
    _ForwardIterator2 __first2, _ForwardIterator2 __last2,
    _BinaryPredicate __predicate)
    {

     
     
     


      ;
      ;

      return std::__search(__first1, __last1, __first2, __last2,
      __gnu_cxx::__ops::__iter_comp_iter(__predicate));
    }



}
# 44 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/limits" 1 3
# 44 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpedantic"
#pragma GCC diagnostic ignored "-Wlong-long"
#pragma GCC diagnostic ignored "-Wc++23-extensions"
# 165 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
namespace std __attribute__ ((__visibility__ ("default")))
{







  enum float_round_style
  {
    round_indeterminate = -1,
    round_toward_zero = 0,
    round_to_nearest = 1,
    round_toward_infinity = 2,
    round_toward_neg_infinity = 3
  };







  enum float_denorm_style
  {

    denorm_indeterminate = -1,

    denorm_absent = 0,

    denorm_present = 1
  };
# 209 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
  struct __numeric_limits_base
  {


    static constexpr bool is_specialized = false;




    static constexpr int digits = 0;


    static constexpr int digits10 = 0;




    static constexpr int max_digits10 = 0;



    static constexpr bool is_signed = false;


    static constexpr bool is_integer = false;




    static constexpr bool is_exact = false;



    static constexpr int radix = 0;



    static constexpr int min_exponent = 0;



    static constexpr int min_exponent10 = 0;




    static constexpr int max_exponent = 0;



    static constexpr int max_exponent10 = 0;


    static constexpr bool has_infinity = false;



    static constexpr bool has_quiet_NaN = false;



    static constexpr bool has_signaling_NaN = false;


    static constexpr float_denorm_style has_denorm = denorm_absent;



    static constexpr bool has_denorm_loss = false;



    static constexpr bool is_iec559 = false;




    static constexpr bool is_bounded = false;
# 295 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
    static constexpr bool is_modulo = false;


    static constexpr bool traps = false;


    static constexpr bool tinyness_before = false;




    static constexpr float_round_style round_style =
          round_toward_zero;
  };
# 318 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
  template<typename _Tp>
    struct numeric_limits : public __numeric_limits_base
    {


      static constexpr _Tp
      min() noexcept { return _Tp(); }


      static constexpr _Tp
      max() noexcept { return _Tp(); }




      static constexpr _Tp
      lowest() noexcept { return _Tp(); }




      static constexpr _Tp
      epsilon() noexcept { return _Tp(); }


      static constexpr _Tp
      round_error() noexcept { return _Tp(); }


      static constexpr _Tp
      infinity() noexcept { return _Tp(); }



      static constexpr _Tp
      quiet_NaN() noexcept { return _Tp(); }



      static constexpr _Tp
      signaling_NaN() noexcept { return _Tp(); }




      static constexpr _Tp
      denorm_min() noexcept { return _Tp(); }
    };




  template<typename _Tp>
    struct numeric_limits<const _Tp>
    : public numeric_limits<_Tp> { };

  template<typename _Tp>
    struct numeric_limits<volatile _Tp>
    : public numeric_limits<_Tp> { };

  template<typename _Tp>
    struct numeric_limits<const volatile _Tp>
    : public numeric_limits<_Tp> { };
# 390 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
  template<>
    struct numeric_limits<bool>
    {
      static constexpr bool is_specialized = true;

      static constexpr bool
      min() noexcept { return false; }

      static constexpr bool
      max() noexcept { return true; }


      static constexpr bool
      lowest() noexcept { return min(); }

      static constexpr int digits = 1;
      static constexpr int digits10 = 0;

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr bool
      epsilon() noexcept { return false; }

      static constexpr bool
      round_error() noexcept { return false; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr bool
      infinity() noexcept { return false; }

      static constexpr bool
      quiet_NaN() noexcept { return false; }

      static constexpr bool
      signaling_NaN() noexcept { return false; }

      static constexpr bool
      denorm_min() noexcept { return false; }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;




      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<char>
    {
      static constexpr bool is_specialized = true;

      static constexpr char
      min() noexcept { return (((char)(-1) < 0) ? -(((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0) - 1 : (char)0); }

      static constexpr char
      max() noexcept { return (((char)(-1) < 0) ? (((((char)1 << ((sizeof(char) * 8 - ((char)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char)0); }


      static constexpr char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(char) * 8 - ((char)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char) * 8 - ((char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((char)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char
      epsilon() noexcept { return 0; }

      static constexpr char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr
      char infinity() noexcept { return char(); }

      static constexpr char
      quiet_NaN() noexcept { return char(); }

      static constexpr char
      signaling_NaN() noexcept { return char(); }

      static constexpr char
      denorm_min() noexcept { return static_cast<char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<signed char>
    {
      static constexpr bool is_specialized = true;

      static constexpr signed char
      min() noexcept { return -0x7f - 1; }

      static constexpr signed char
      max() noexcept { return 0x7f; }


      static constexpr signed char
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(signed char) * 8 - ((signed char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(signed char) * 8 - ((signed char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr signed char
      epsilon() noexcept { return 0; }

      static constexpr signed char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr signed char
      infinity() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      quiet_NaN() noexcept { return static_cast<signed char>(0); }

      static constexpr signed char
      signaling_NaN() noexcept
      { return static_cast<signed char>(0); }

      static constexpr signed char
      denorm_min() noexcept
      { return static_cast<signed char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned char>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned char
      min() noexcept { return 0; }

      static constexpr unsigned char
      max() noexcept { return 0x7f * 2U + 1; }


      static constexpr unsigned char
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned char) * 8 - ((unsigned char)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned char
      epsilon() noexcept { return 0; }

      static constexpr unsigned char
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned char
      infinity() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      quiet_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      signaling_NaN() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr unsigned char
      denorm_min() noexcept
      { return static_cast<unsigned char>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<wchar_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr wchar_t
      min() noexcept { return (((wchar_t)(-1) < 0) ? -(((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0) - 1 : (wchar_t)0); }

      static constexpr wchar_t
      max() noexcept { return (((wchar_t)(-1) < 0) ? (((((wchar_t)1 << ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(wchar_t)0); }


      static constexpr wchar_t
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(wchar_t) * 8 - ((wchar_t)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = ((wchar_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr wchar_t
      epsilon() noexcept { return 0; }

      static constexpr wchar_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr wchar_t
      infinity() noexcept { return wchar_t(); }

      static constexpr wchar_t
      quiet_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      signaling_NaN() noexcept { return wchar_t(); }

      static constexpr wchar_t
      denorm_min() noexcept { return wchar_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };
# 803 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
  template<>
    struct numeric_limits<char16_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char16_t
      min() noexcept { return (((char16_t)(-1) < 0) ? -(((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0) - 1 : (char16_t)0); }

      static constexpr char16_t
      max() noexcept { return (((char16_t)(-1) < 0) ? (((((char16_t)1 << ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char16_t)0); }

      static constexpr char16_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char16_t) * 8 - ((char16_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char16_t) * 8 - ((char16_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char16_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char16_t
      epsilon() noexcept { return 0; }

      static constexpr char16_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char16_t
      infinity() noexcept { return char16_t(); }

      static constexpr char16_t
      quiet_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      signaling_NaN() noexcept { return char16_t(); }

      static constexpr char16_t
      denorm_min() noexcept { return char16_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };


  template<>
    struct numeric_limits<char32_t>
    {
      static constexpr bool is_specialized = true;

      static constexpr char32_t
      min() noexcept { return (((char32_t)(-1) < 0) ? -(((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0) - 1 : (char32_t)0); }

      static constexpr char32_t
      max() noexcept { return (((char32_t)(-1) < 0) ? (((((char32_t)1 << ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(char32_t)0); }

      static constexpr char32_t
      lowest() noexcept { return min(); }

      static constexpr int digits = (sizeof(char32_t) * 8 - ((char32_t)(-1) < 0));
      static constexpr int digits10 = ((sizeof(char32_t) * 8 - ((char32_t)(-1) < 0)) * 643L / 2136);
      static constexpr int max_digits10 = 0;
      static constexpr bool is_signed = ((char32_t)(-1) < 0);
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr char32_t
      epsilon() noexcept { return 0; }

      static constexpr char32_t
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr char32_t
      infinity() noexcept { return char32_t(); }

      static constexpr char32_t
      quiet_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      signaling_NaN() noexcept { return char32_t(); }

      static constexpr char32_t
      denorm_min() noexcept { return char32_t(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = !is_signed;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style = round_toward_zero;
    };



  template<>
    struct numeric_limits<short>
    {
      static constexpr bool is_specialized = true;

      static constexpr short
      min() noexcept { return -0x7fff - 1; }

      static constexpr short
      max() noexcept { return 0x7fff; }


      static constexpr short
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(short) * 8 - ((short)(-1) < 0));
      static constexpr int digits10 = ((sizeof(short) * 8 - ((short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr short
      epsilon() noexcept { return 0; }

      static constexpr short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr short
      infinity() noexcept { return short(); }

      static constexpr short
      quiet_NaN() noexcept { return short(); }

      static constexpr short
      signaling_NaN() noexcept { return short(); }

      static constexpr short
      denorm_min() noexcept { return short(); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned short>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned short
      min() noexcept { return 0; }

      static constexpr unsigned short
      max() noexcept { return 0x7fff * 2U + 1; }


      static constexpr unsigned short
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned short) * 8 - ((unsigned short)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned short
      epsilon() noexcept { return 0; }

      static constexpr unsigned short
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned short
      infinity() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      quiet_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      signaling_NaN() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr unsigned short
      denorm_min() noexcept
      { return static_cast<unsigned short>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<int>
    {
      static constexpr bool is_specialized = true;

      static constexpr int
      min() noexcept { return -0x7fffffff - 1; }

      static constexpr int
      max() noexcept { return 0x7fffffff; }


      static constexpr int
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(int) * 8 - ((int)(-1) < 0));
      static constexpr int digits10 = ((sizeof(int) * 8 - ((int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr int
      epsilon() noexcept { return 0; }

      static constexpr int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr int
      infinity() noexcept { return static_cast<int>(0); }

      static constexpr int
      quiet_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      signaling_NaN() noexcept { return static_cast<int>(0); }

      static constexpr int
      denorm_min() noexcept { return static_cast<int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned int>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned int
      min() noexcept { return 0; }

      static constexpr unsigned int
      max() noexcept { return 0x7fffffff * 2U + 1; }


      static constexpr unsigned int
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned int) * 8 - ((unsigned int)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned int
      epsilon() noexcept { return 0; }

      static constexpr unsigned int
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned int
      infinity() noexcept { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      quiet_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      signaling_NaN() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr unsigned int
      denorm_min() noexcept
      { return static_cast<unsigned int>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long
      min() noexcept { return -0x7fffffffffffffffL - 1; }

      static constexpr long
      max() noexcept { return 0x7fffffffffffffffL; }


      static constexpr long
      lowest() noexcept { return min(); }


      static constexpr int digits = (sizeof(long) * 8 - ((long)(-1) < 0));
      static constexpr int digits10 = ((sizeof(long) * 8 - ((long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long
      epsilon() noexcept { return 0; }

      static constexpr long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long
      infinity() noexcept { return static_cast<long>(0); }

      static constexpr long
      quiet_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      signaling_NaN() noexcept { return static_cast<long>(0); }

      static constexpr long
      denorm_min() noexcept { return static_cast<long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long
      min() noexcept { return 0; }

      static constexpr unsigned long
      max() noexcept { return 0x7fffffffffffffffL * 2UL + 1; }


      static constexpr unsigned long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long) * 8 - ((unsigned long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long
      infinity() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      quiet_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      signaling_NaN() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr unsigned long
      denorm_min() noexcept
      { return static_cast<unsigned long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr long long
      min() noexcept { return -0x7fffffffffffffffLL - 1; }

      static constexpr long long
      max() noexcept { return 0x7fffffffffffffffLL; }


      static constexpr long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(long long) * 8 - ((long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(long long) * 8 - ((long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr long long
      epsilon() noexcept { return 0; }

      static constexpr long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr long long
      infinity() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      quiet_NaN() noexcept { return static_cast<long long>(0); }

      static constexpr long long
      signaling_NaN() noexcept
      { return static_cast<long long>(0); }

      static constexpr long long
      denorm_min() noexcept { return static_cast<long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };


  template<>
    struct numeric_limits<unsigned long long>
    {
      static constexpr bool is_specialized = true;

      static constexpr unsigned long long
      min() noexcept { return 0; }

      static constexpr unsigned long long
      max() noexcept { return 0x7fffffffffffffffLL * 2ULL + 1; }


      static constexpr unsigned long long
      lowest() noexcept { return min(); }


      static constexpr int digits
       = (sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0));
      static constexpr int digits10
       = ((sizeof(unsigned long long) * 8 - ((unsigned long long)(-1) < 0)) * 643L / 2136);

      static constexpr int max_digits10 = 0;

      static constexpr bool is_signed = false;
      static constexpr bool is_integer = true;
      static constexpr bool is_exact = true;
      static constexpr int radix = 2;

      static constexpr unsigned long long
      epsilon() noexcept { return 0; }

      static constexpr unsigned long long
      round_error() noexcept { return 0; }

      static constexpr int min_exponent = 0;
      static constexpr int min_exponent10 = 0;
      static constexpr int max_exponent = 0;
      static constexpr int max_exponent10 = 0;

      static constexpr bool has_infinity = false;
      static constexpr bool has_quiet_NaN = false;
      static constexpr bool has_signaling_NaN = false;
      static constexpr float_denorm_style has_denorm
       = denorm_absent;
      static constexpr bool has_denorm_loss = false;

      static constexpr unsigned long long
      infinity() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      quiet_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      signaling_NaN() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr unsigned long long
      denorm_min() noexcept
      { return static_cast<unsigned long long>(0); }

      static constexpr bool is_iec559 = false;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = true;

      static constexpr bool traps = true;
      static constexpr bool tinyness_before = false;
      static constexpr float_round_style round_style
       = round_toward_zero;
    };
# 1644 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
  __extension__ template<> struct numeric_limits<__int128> { static constexpr bool is_specialized = true; static constexpr __int128 min() noexcept { return (((__int128)(-1) < 0) ? -(((__int128)(-1) < 0) ? (((((__int128)1 << ((128 - ((__int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(__int128)0) - 1 : (__int128)0); } static constexpr __int128 max() noexcept { return (((__int128)(-1) < 0) ? (((((__int128)1 << ((128 - ((__int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(__int128)0); } static constexpr int digits = 128 - 1; static constexpr int digits10 = (128 - 1) * 643L / 2136; static constexpr bool is_signed = true; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int radix = 2; static constexpr __int128 epsilon() noexcept { return 0; } static constexpr __int128 round_error() noexcept { return 0; } static constexpr __int128 lowest() noexcept { return min(); } static constexpr int max_digits10 = 0; static constexpr int min_exponent = 0; static constexpr int min_exponent10 = 0; static constexpr int max_exponent = 0; static constexpr int max_exponent10 = 0; static constexpr bool has_infinity = false; static constexpr bool has_quiet_NaN = false; static constexpr bool has_signaling_NaN = false; static constexpr float_denorm_style has_denorm = denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr __int128 infinity() noexcept { return static_cast<__int128>(0); } static constexpr __int128 quiet_NaN() noexcept { return static_cast<__int128>(0); } static constexpr __int128 signaling_NaN() noexcept { return static_cast<__int128>(0); } static constexpr __int128 denorm_min() noexcept { return static_cast<__int128>(0); } static constexpr bool is_iec559 = false; static constexpr bool is_bounded = true; static constexpr bool is_modulo = false; static constexpr bool traps = true; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_toward_zero; }; __extension__ template<> struct numeric_limits<unsigned __int128> { static constexpr bool is_specialized = true; static constexpr unsigned __int128 min() noexcept { return 0; } static constexpr unsigned __int128 max() noexcept { return (((unsigned __int128)(-1) < 0) ? (((((unsigned __int128)1 << ((128 - ((unsigned __int128)(-1) < 0)) - 1)) - 1) << 1) + 1) : ~(unsigned __int128)0); } static constexpr unsigned __int128 lowest() noexcept { return min(); } static constexpr int max_digits10 = 0; static constexpr int digits = 128; static constexpr int digits10 = 128 * 643L / 2136; static constexpr bool is_signed = false; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int radix = 2; static constexpr unsigned __int128 epsilon() noexcept { return 0; } static constexpr unsigned __int128 round_error() noexcept { return 0; } static constexpr int min_exponent = 0; static constexpr int min_exponent10 = 0; static constexpr int max_exponent = 0; static constexpr int max_exponent10 = 0; static constexpr bool has_infinity = false; static constexpr bool has_quiet_NaN = false; static constexpr bool has_signaling_NaN = false; static constexpr float_denorm_style has_denorm = denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr unsigned __int128 infinity() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 quiet_NaN() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 signaling_NaN() noexcept { return static_cast<unsigned __int128>(0); } static constexpr unsigned __int128 denorm_min() noexcept { return static_cast<unsigned __int128>(0); } static constexpr bool is_iec559 = false; static constexpr bool is_bounded = true; static constexpr bool is_modulo = true; static constexpr bool traps = true; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_toward_zero; };
# 1676 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
  template<>
    struct numeric_limits<float>
    {
      static constexpr bool is_specialized = true;

      static constexpr float
      min() noexcept { return 1.17549435082228750796873653722224568e-38F; }

      static constexpr float
      max() noexcept { return 3.40282346638528859811704183484516925e+38F; }


      static constexpr float
      lowest() noexcept { return -3.40282346638528859811704183484516925e+38F; }


      static constexpr int digits = 24;
      static constexpr int digits10 = 6;

      static constexpr int max_digits10
  = (2 + (24) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr float
      epsilon() noexcept { return 1.19209289550781250000000000000000000e-7F; }

      static constexpr float
      round_error() noexcept { return 0.5F; }

      static constexpr int min_exponent = (-125);
      static constexpr int min_exponent10 = (-37);
      static constexpr int max_exponent = 128;
      static constexpr int max_exponent10 = 38;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
       = false;

      static constexpr float
      infinity() noexcept { return __builtin_huge_valf(); }

      static constexpr float
      quiet_NaN() noexcept { return __builtin_nanf(""); }

      static constexpr float
      signaling_NaN() noexcept { return __builtin_nansf(""); }

      static constexpr float
      denorm_min() noexcept { return 1.40129846432481707092372958328991613e-45F; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };






  template<>
    struct numeric_limits<double>
    {
      static constexpr bool is_specialized = true;

      static constexpr double
      min() noexcept { return double(2.22507385850720138309023271733240406e-308L); }

      static constexpr double
      max() noexcept { return double(1.79769313486231570814527423731704357e+308L); }


      static constexpr double
      lowest() noexcept { return -double(1.79769313486231570814527423731704357e+308L); }


      static constexpr int digits = 53;
      static constexpr int digits10 = 15;

      static constexpr int max_digits10
  = (2 + (53) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr double
      epsilon() noexcept { return double(2.22044604925031308084726333618164062e-16L); }

      static constexpr double
      round_error() noexcept { return 0.5; }

      static constexpr int min_exponent = (-1021);
      static constexpr int min_exponent10 = (-307);
      static constexpr int max_exponent = 1024;
      static constexpr int max_exponent10 = 308;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
        = false;

      static constexpr double
      infinity() noexcept { return __builtin_huge_val(); }

      static constexpr double
      quiet_NaN() noexcept { return __builtin_nan(""); }

      static constexpr double
      signaling_NaN() noexcept { return __builtin_nans(""); }

      static constexpr double
      denorm_min() noexcept { return double(4.94065645841246544176568792868221372e-324L); }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before
       = false;
      static constexpr float_round_style round_style
       = round_to_nearest;
    };






  template<>
    struct numeric_limits<long double>
    {
      static constexpr bool is_specialized = true;

      static constexpr long double
      min() noexcept { return 3.36210314311209350626267781732175260e-4932L; }

      static constexpr long double
      max() noexcept { return 1.18973149535723176508575932662800702e+4932L; }


      static constexpr long double
      lowest() noexcept { return -1.18973149535723176508575932662800702e+4932L; }


      static constexpr int digits = 113;
      static constexpr int digits10 = 33;

      static constexpr int max_digits10
  = (2 + (113) * 643L / 2136);

      static constexpr bool is_signed = true;
      static constexpr bool is_integer = false;
      static constexpr bool is_exact = false;
      static constexpr int radix = 2;

      static constexpr long double
      epsilon() noexcept { return 1.92592994438723585305597794258492732e-34L; }

      static constexpr long double
      round_error() noexcept { return 0.5L; }

      static constexpr int min_exponent = (-16381);
      static constexpr int min_exponent10 = (-4931);
      static constexpr int max_exponent = 16384;
      static constexpr int max_exponent10 = 4932;

      static constexpr bool has_infinity = 1;
      static constexpr bool has_quiet_NaN = 1;
      static constexpr bool has_signaling_NaN = has_quiet_NaN;
      static constexpr float_denorm_style has_denorm
 = bool(1) ? denorm_present : denorm_absent;
      static constexpr bool has_denorm_loss
 = false;

      static constexpr long double
      infinity() noexcept { return __builtin_huge_vall(); }

      static constexpr long double
      quiet_NaN() noexcept { return __builtin_nanl(""); }

      static constexpr long double
      signaling_NaN() noexcept { return __builtin_nansl(""); }

      static constexpr long double
      denorm_min() noexcept { return 6.47517511943802511092443895822764655e-4966L; }

      static constexpr bool is_iec559
 = has_infinity && has_quiet_NaN && has_denorm == denorm_present;
      static constexpr bool is_bounded = true;
      static constexpr bool is_modulo = false;

      static constexpr bool traps = false;
      static constexpr bool tinyness_before =
      false;
      static constexpr float_round_style round_style =
            round_to_nearest;
    };
# 1996 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
__extension__ template<> struct numeric_limits<_Float32> { static constexpr bool is_specialized = true; static constexpr _Float32 min() noexcept { return 1.17549435082228750796873653722224568e-38F32; } static constexpr _Float32 max() noexcept { return 3.40282346638528859811704183484516925e+38F32; } static constexpr _Float32 lowest() noexcept { return -3.40282346638528859811704183484516925e+38F32; } static constexpr int digits = 24; static constexpr int digits10 = 6; static constexpr int max_digits10 = (2 + (24) * 643L / 2136); static constexpr bool is_signed = true; static constexpr bool is_integer = false; static constexpr bool is_exact = false; static constexpr int radix = 2; static constexpr _Float32 epsilon() noexcept { return 1.19209289550781250000000000000000000e-7F32; } static constexpr _Float32 round_error() noexcept { return 0.5F32; } static constexpr int min_exponent = (-125); static constexpr int min_exponent10 = (-37); static constexpr int max_exponent = 128; static constexpr int max_exponent10 = 38; static constexpr bool has_infinity = 1; static constexpr bool has_quiet_NaN = 1; static constexpr bool has_signaling_NaN = has_quiet_NaN; static constexpr float_denorm_style has_denorm = bool(1) ? denorm_present : denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr _Float32 infinity() noexcept { return __builtin_huge_valf32(); } static constexpr _Float32 quiet_NaN() noexcept { return __builtin_nanf32(""); } static constexpr _Float32 signaling_NaN() noexcept { return __builtin_nansf32(""); } static constexpr _Float32 denorm_min() noexcept { return 1.40129846432481707092372958328991613e-45F32; } static constexpr bool is_iec559 = has_infinity && has_quiet_NaN && has_denorm == denorm_present; static constexpr bool is_bounded = true; static constexpr bool is_modulo = false; static constexpr bool traps = false; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_to_nearest; };


__extension__ template<> struct numeric_limits<_Float64> { static constexpr bool is_specialized = true; static constexpr _Float64 min() noexcept { return 2.22507385850720138309023271733240406e-308F64; } static constexpr _Float64 max() noexcept { return 1.79769313486231570814527423731704357e+308F64; } static constexpr _Float64 lowest() noexcept { return -1.79769313486231570814527423731704357e+308F64; } static constexpr int digits = 53; static constexpr int digits10 = 15; static constexpr int max_digits10 = (2 + (53) * 643L / 2136); static constexpr bool is_signed = true; static constexpr bool is_integer = false; static constexpr bool is_exact = false; static constexpr int radix = 2; static constexpr _Float64 epsilon() noexcept { return 2.22044604925031308084726333618164062e-16F64; } static constexpr _Float64 round_error() noexcept { return 0.5F64; } static constexpr int min_exponent = (-1021); static constexpr int min_exponent10 = (-307); static constexpr int max_exponent = 1024; static constexpr int max_exponent10 = 308; static constexpr bool has_infinity = 1; static constexpr bool has_quiet_NaN = 1; static constexpr bool has_signaling_NaN = has_quiet_NaN; static constexpr float_denorm_style has_denorm = bool(1) ? denorm_present : denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr _Float64 infinity() noexcept { return __builtin_huge_valf64(); } static constexpr _Float64 quiet_NaN() noexcept { return __builtin_nanf64(""); } static constexpr _Float64 signaling_NaN() noexcept { return __builtin_nansf64(""); } static constexpr _Float64 denorm_min() noexcept { return 4.94065645841246544176568792868221372e-324F64; } static constexpr bool is_iec559 = has_infinity && has_quiet_NaN && has_denorm == denorm_present; static constexpr bool is_bounded = true; static constexpr bool is_modulo = false; static constexpr bool traps = false; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_to_nearest; };


__extension__ template<> struct numeric_limits<_Float128> { static constexpr bool is_specialized = true; static constexpr _Float128 min() noexcept { return 3.36210314311209350626267781732175260e-4932F128; } static constexpr _Float128 max() noexcept { return 1.18973149535723176508575932662800702e+4932F128; } static constexpr _Float128 lowest() noexcept { return -1.18973149535723176508575932662800702e+4932F128; } static constexpr int digits = 113; static constexpr int digits10 = 33; static constexpr int max_digits10 = (2 + (113) * 643L / 2136); static constexpr bool is_signed = true; static constexpr bool is_integer = false; static constexpr bool is_exact = false; static constexpr int radix = 2; static constexpr _Float128 epsilon() noexcept { return 1.92592994438723585305597794258492732e-34F128; } static constexpr _Float128 round_error() noexcept { return 0.5F128; } static constexpr int min_exponent = (-16381); static constexpr int min_exponent10 = (-4931); static constexpr int max_exponent = 16384; static constexpr int max_exponent10 = 4932; static constexpr bool has_infinity = 1; static constexpr bool has_quiet_NaN = 1; static constexpr bool has_signaling_NaN = has_quiet_NaN; static constexpr float_denorm_style has_denorm = bool(1) ? denorm_present : denorm_absent; static constexpr bool has_denorm_loss = false; static constexpr _Float128 infinity() noexcept { return __builtin_huge_valf128(); } static constexpr _Float128 quiet_NaN() noexcept { return __builtin_nanf128(""); } static constexpr _Float128 signaling_NaN() noexcept { return __builtin_nansf128(""); } static constexpr _Float128 denorm_min() noexcept { return 6.47517511943802511092443895822764655e-4966F128; } static constexpr bool is_iec559 = has_infinity && has_quiet_NaN && has_denorm == denorm_present; static constexpr bool is_bounded = true; static constexpr bool is_modulo = false; static constexpr bool traps = false; static constexpr bool tinyness_before = false; static constexpr float_round_style round_style = round_to_nearest; };
# 2229 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3

}
# 2239 "/usr/aarch64-linux-gnu/include/c++/15/limits" 3
#pragma GCC diagnostic pop
# 45 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3


# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 1 3
# 49 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/special_function_util.h" 1 3
# 39 "/usr/aarch64-linux-gnu/include/c++/15/tr1/special_function_util.h" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 50 "/usr/aarch64-linux-gnu/include/c++/15/tr1/special_function_util.h" 3
  namespace __detail
  {



    template<typename _Tp>
    struct __floating_point_constant
    {
      static const _Tp __value;
    };



    template<typename _Tp>
      struct __numeric_constants
      {

        static _Tp __pi() throw()
        { return static_cast<_Tp>(3.1415926535897932384626433832795029L); }

        static _Tp __pi_2() throw()
        { return static_cast<_Tp>(1.5707963267948966192313216916397514L); }

        static _Tp __pi_3() throw()
        { return static_cast<_Tp>(1.0471975511965977461542144610931676L); }

        static _Tp __pi_4() throw()
        { return static_cast<_Tp>(0.7853981633974483096156608458198757L); }

        static _Tp __1_pi() throw()
        { return static_cast<_Tp>(0.3183098861837906715377675267450287L); }

        static _Tp __2_sqrtpi() throw()
        { return static_cast<_Tp>(1.1283791670955125738961589031215452L); }

        static _Tp __sqrt2() throw()
        { return static_cast<_Tp>(1.4142135623730950488016887242096981L); }

        static _Tp __sqrt3() throw()
        { return static_cast<_Tp>(1.7320508075688772935274463415058723L); }

        static _Tp __sqrtpio2() throw()
        { return static_cast<_Tp>(1.2533141373155002512078826424055226L); }

        static _Tp __sqrt1_2() throw()
        { return static_cast<_Tp>(0.7071067811865475244008443621048490L); }

        static _Tp __lnpi() throw()
        { return static_cast<_Tp>(1.1447298858494001741434273513530587L); }

        static _Tp __gamma_e() throw()
        { return static_cast<_Tp>(0.5772156649015328606065120900824024L); }

        static _Tp __euler() throw()
        { return static_cast<_Tp>(2.7182818284590452353602874713526625L); }
      };
# 114 "/usr/aarch64-linux-gnu/include/c++/15/tr1/special_function_util.h" 3
    template<typename _Tp>
    inline bool __isnan(_Tp __x)
    { return std::isnan(__x); }
# 133 "/usr/aarch64-linux-gnu/include/c++/15/tr1/special_function_util.h" 3
  }





}
# 50 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
  namespace __detail
  {
# 76 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template <typename _Tp>
    _Tp
    __bernoulli_series(unsigned int __n)
    {

      static const _Tp __num[28] = {
        _Tp(1UL), -_Tp(1UL) / _Tp(2UL),
        _Tp(1UL) / _Tp(6UL), _Tp(0UL),
        -_Tp(1UL) / _Tp(30UL), _Tp(0UL),
        _Tp(1UL) / _Tp(42UL), _Tp(0UL),
        -_Tp(1UL) / _Tp(30UL), _Tp(0UL),
        _Tp(5UL) / _Tp(66UL), _Tp(0UL),
        -_Tp(691UL) / _Tp(2730UL), _Tp(0UL),
        _Tp(7UL) / _Tp(6UL), _Tp(0UL),
        -_Tp(3617UL) / _Tp(510UL), _Tp(0UL),
        _Tp(43867UL) / _Tp(798UL), _Tp(0UL),
        -_Tp(174611) / _Tp(330UL), _Tp(0UL),
        _Tp(854513UL) / _Tp(138UL), _Tp(0UL),
        -_Tp(236364091UL) / _Tp(2730UL), _Tp(0UL),
        _Tp(8553103UL) / _Tp(6UL), _Tp(0UL)
      };

      if (__n == 0)
        return _Tp(1);

      if (__n == 1)
        return -_Tp(1) / _Tp(2);


      if (__n % 2 == 1)
        return _Tp(0);


      if (__n < 28)
        return __num[__n];


      _Tp __fact = _Tp(1);
      if ((__n / 2) % 2 == 0)
        __fact *= _Tp(-1);
      for (unsigned int __k = 1; __k <= __n; ++__k)
        __fact *= __k / (_Tp(2) * __numeric_constants<_Tp>::__pi());
      __fact *= _Tp(2);

      _Tp __sum = _Tp(0);
      for (unsigned int __i = 1; __i < 1000; ++__i)
        {
          _Tp __term = std::pow(_Tp(__i), -_Tp(__n));
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return __fact * __sum;
    }
# 139 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    inline _Tp
    __bernoulli(int __n)
    { return __bernoulli_series<_Tp>(__n); }
# 153 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_bernoulli(_Tp __x)
    {
      _Tp __lg = (__x - _Tp(0.5L)) * std::log(__x) - __x
               + _Tp(0.5L) * std::log(_Tp(2)
               * __numeric_constants<_Tp>::__pi());

      const _Tp __xx = __x * __x;
      _Tp __help = _Tp(1) / __x;
      for ( unsigned int __i = 1; __i < 20; ++__i )
        {
          const _Tp __2i = _Tp(2 * __i);
          __help /= __2i * (__2i - _Tp(1)) * __xx;
          __lg += __bernoulli<_Tp>(2 * __i) * __help;
        }

      return __lg;
    }
# 181 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_lanczos(_Tp __x)
    {
      const _Tp __xm1 = __x - _Tp(1);

      static const _Tp __lanczos_cheb_7[9] = {
       _Tp( 0.99999999999980993227684700473478L),
       _Tp( 676.520368121885098567009190444019L),
       _Tp(-1259.13921672240287047156078755283L),
       _Tp( 771.3234287776530788486528258894L),
       _Tp(-176.61502916214059906584551354L),
       _Tp( 12.507343278686904814458936853L),
       _Tp(-0.13857109526572011689554707L),
       _Tp( 9.984369578019570859563e-6L),
       _Tp( 1.50563273514931155834e-7L)
      };

      static const _Tp __LOGROOT2PI
          = _Tp(0.9189385332046727417803297364056176L);

      _Tp __sum = __lanczos_cheb_7[0];
      for(unsigned int __k = 1; __k < 9; ++__k)
        __sum += __lanczos_cheb_7[__k] / (__xm1 + __k);

      const _Tp __term1 = (__xm1 + _Tp(0.5L))
                        * std::log((__xm1 + _Tp(7.5L))
                       / __numeric_constants<_Tp>::__euler());
      const _Tp __term2 = __LOGROOT2PI + std::log(__sum);
      const _Tp __result = __term1 + (__term2 - _Tp(7));

      return __result;
    }
# 225 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma(_Tp __x)
    {
      if (__x > _Tp(0.5L))
        return __log_gamma_lanczos(__x);
      else
        {
          const _Tp __sin_fact
                 = std::abs(std::sin(__numeric_constants<_Tp>::__pi() * __x));
          if (__sin_fact == _Tp(0))
            std::__throw_domain_error(("Argument is nonpositive integer " "in __log_gamma")
                                                           );
          return __numeric_constants<_Tp>::__lnpi()
                     - std::log(__sin_fact)
                     - __log_gamma_lanczos(_Tp(1) - __x);
        }
    }
# 252 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_gamma_sign(_Tp __x)
    {
      if (__x > _Tp(0))
        return _Tp(1);
      else
        {
          const _Tp __sin_fact
                  = std::sin(__numeric_constants<_Tp>::__pi() * __x);
          if (__sin_fact > _Tp(0))
            return (1);
          else if (__sin_fact < _Tp(0))
            return -_Tp(1);
          else
            return _Tp(0);
        }
    }
# 283 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __log_bincoef(unsigned int __n, unsigned int __k)
    {

      static const _Tp __max_bincoeff
                      = std::numeric_limits<_Tp>::max_exponent10
                      * std::log(_Tp(10)) - _Tp(1);

      _Tp __coeff = ::std::lgamma(_Tp(1 + __n))
                  - ::std::lgamma(_Tp(1 + __k))
                  - ::std::lgamma(_Tp(1 + __n - __k));





    }
# 314 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __bincoef(unsigned int __n, unsigned int __k)
    {

      static const _Tp __max_bincoeff
                      = std::numeric_limits<_Tp>::max_exponent10
                      * std::log(_Tp(10)) - _Tp(1);

      const _Tp __log_coeff = __log_bincoef<_Tp>(__n, __k);
      if (__log_coeff > __max_bincoeff)
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return std::exp(__log_coeff);
    }
# 337 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    inline _Tp
    __gamma(_Tp __x)
    { return std::exp(__log_gamma(__x)); }
# 356 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi_series(_Tp __x)
    {
      _Tp __sum = -__numeric_constants<_Tp>::__gamma_e() - _Tp(1) / __x;
      const unsigned int __max_iter = 100000;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          const _Tp __term = __x / (__k * (__k + __x));
          __sum += __term;
          if (std::abs(__term / __sum) < std::numeric_limits<_Tp>::epsilon())
            break;
        }
      return __sum;
    }
# 386 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi_asymp(_Tp __x)
    {
      _Tp __sum = std::log(__x) - _Tp(0.5L) / __x;
      const _Tp __xx = __x * __x;
      _Tp __xp = __xx;
      const unsigned int __max_iter = 100;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          const _Tp __term = __bernoulli<_Tp>(2 * __k) / (2 * __k * __xp);
          __sum -= __term;
          if (std::abs(__term / __sum) < std::numeric_limits<_Tp>::epsilon())
            break;
          __xp *= __xx;
        }
      return __sum;
    }
# 417 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi(_Tp __x)
    {
      const int __n = static_cast<int>(__x + 0.5L);
      const _Tp __eps = _Tp(4) * std::numeric_limits<_Tp>::epsilon();
      if (__n <= 0 && std::abs(__x - _Tp(__n)) < __eps)
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x < _Tp(0))
        {
          const _Tp __pi = __numeric_constants<_Tp>::__pi();
          return __psi(_Tp(1) - __x)
               - __pi * std::cos(__pi * __x) / std::sin(__pi * __x);
        }
      else if (__x > _Tp(100))
        return __psi_asymp(__x);
      else
        return __psi_series(__x);
    }
# 446 "/usr/aarch64-linux-gnu/include/c++/15/tr1/gamma.tcc" 3
    template<typename _Tp>
    _Tp
    __psi(unsigned int __n, _Tp __x)
    {
      if (__x <= _Tp(0))
        std::__throw_domain_error(("Argument out of range " "in __psi")
                                                 );
      else if (__n == 0)
        return __psi(__x);
      else
        {
          const _Tp __hzeta = __hurwitz_zeta(_Tp(__n + 1), __x);

          const _Tp __ln_nfact = ::std::lgamma(_Tp(__n + 1));



          _Tp __result = std::exp(__ln_nfact) * __hzeta;
          if (__n % 2 == 1)
            __result = -__result;
          return __result;
        }
    }
  }






}
# 48 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 1 3
# 55 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 71 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
  namespace __detail
  {
# 98 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __gamma_temme(_Tp __mu,
                  _Tp & __gam1, _Tp & __gam2, _Tp & __gampl, _Tp & __gammi)
    {

      __gampl = _Tp(1) / ::std::tgamma(_Tp(1) + __mu);
      __gammi = _Tp(1) / ::std::tgamma(_Tp(1) - __mu);





      if (std::abs(__mu) < std::numeric_limits<_Tp>::epsilon())
        __gam1 = -_Tp(__numeric_constants<_Tp>::__gamma_e());
      else
        __gam1 = (__gammi - __gampl) / (_Tp(2) * __mu);

      __gam2 = (__gammi + __gampl) / (_Tp(2));

      return;
    }
# 136 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __bessel_jn(_Tp __nu, _Tp __x,
                _Tp & __Jnu, _Tp & __Nnu, _Tp & __Jpnu, _Tp & __Npnu)
    {
      if (__x == _Tp(0))
        {
          if (__nu == _Tp(0))
            {
              __Jnu = _Tp(1);
              __Jpnu = _Tp(0);
            }
          else if (__nu == _Tp(1))
            {
              __Jnu = _Tp(0);
              __Jpnu = _Tp(0.5L);
            }
          else
            {
              __Jnu = _Tp(0);
              __Jpnu = _Tp(0);
            }
          __Nnu = -std::numeric_limits<_Tp>::infinity();
          __Npnu = std::numeric_limits<_Tp>::infinity();
          return;
        }

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();




      const _Tp __fp_min = std::sqrt(std::numeric_limits<_Tp>::min());
      const int __max_iter = 15000;
      const _Tp __x_min = _Tp(2);

      const int __nl = (__x < __x_min
                    ? static_cast<int>(__nu + _Tp(0.5L))
                    : std::max(0, static_cast<int>(__nu - __x + _Tp(1.5L))));

      const _Tp __mu = __nu - __nl;
      const _Tp __mu2 = __mu * __mu;
      const _Tp __xi = _Tp(1) / __x;
      const _Tp __xi2 = _Tp(2) * __xi;
      _Tp __w = __xi2 / __numeric_constants<_Tp>::__pi();
      int __isign = 1;
      _Tp __h = __nu * __xi;
      if (__h < __fp_min)
        __h = __fp_min;
      _Tp __b = __xi2 * __nu;
      _Tp __d = _Tp(0);
      _Tp __c = __h;
      int __i;
      for (__i = 1; __i <= __max_iter; ++__i)
        {
          __b += __xi2;
          __d = __b - __d;
          if (std::abs(__d) < __fp_min)
            __d = __fp_min;
          __c = __b - _Tp(1) / __c;
          if (std::abs(__c) < __fp_min)
            __c = __fp_min;
          __d = _Tp(1) / __d;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (__d < _Tp(0))
            __isign = -__isign;
          if (std::abs(__del - _Tp(1)) < __eps)
            break;
        }
      if (__i > __max_iter)
        std::__throw_runtime_error(("Argument x too large in __bessel_jn; " "try asymptotic expansion.")
                                                                   );
      _Tp __Jnul = __isign * __fp_min;
      _Tp __Jpnul = __h * __Jnul;
      _Tp __Jnul1 = __Jnul;
      _Tp __Jpnu1 = __Jpnul;
      _Tp __fact = __nu * __xi;
      for ( int __l = __nl; __l >= 1; --__l )
        {
          const _Tp __Jnutemp = __fact * __Jnul + __Jpnul;
          __fact -= __xi;
          __Jpnul = __fact * __Jnutemp - __Jnul;
          __Jnul = __Jnutemp;
        }
      if (__Jnul == _Tp(0))
        __Jnul = __eps;
      _Tp __f= __Jpnul / __Jnul;
      _Tp __Nmu, __Nnu1, __Npmu, __Jmu;
      if (__x < __x_min)
        {
          const _Tp __x2 = __x / _Tp(2);
          const _Tp __pimu = __numeric_constants<_Tp>::__pi() * __mu;
          _Tp __fact = (std::abs(__pimu) < __eps
                      ? _Tp(1) : __pimu / std::sin(__pimu));
          _Tp __d = -std::log(__x2);
          _Tp __e = __mu * __d;
          _Tp __fact2 = (std::abs(__e) < __eps
                       ? _Tp(1) : std::sinh(__e) / __e);
          _Tp __gam1, __gam2, __gampl, __gammi;
          __gamma_temme(__mu, __gam1, __gam2, __gampl, __gammi);
          _Tp __ff = (_Tp(2) / __numeric_constants<_Tp>::__pi())
                   * __fact * (__gam1 * std::cosh(__e) + __gam2 * __fact2 * __d);
          __e = std::exp(__e);
          _Tp __p = __e / (__numeric_constants<_Tp>::__pi() * __gampl);
          _Tp __q = _Tp(1) / (__e * __numeric_constants<_Tp>::__pi() * __gammi);
          const _Tp __pimu2 = __pimu / _Tp(2);
          _Tp __fact3 = (std::abs(__pimu2) < __eps
                       ? _Tp(1) : std::sin(__pimu2) / __pimu2 );
          _Tp __r = __numeric_constants<_Tp>::__pi() * __pimu2 * __fact3 * __fact3;
          _Tp __c = _Tp(1);
          __d = -__x2 * __x2;
          _Tp __sum = __ff + __r * __q;
          _Tp __sum1 = __p;
          for (__i = 1; __i <= __max_iter; ++__i)
            {
              __ff = (__i * __ff + __p + __q) / (__i * __i - __mu2);
              __c *= __d / _Tp(__i);
              __p /= _Tp(__i) - __mu;
              __q /= _Tp(__i) + __mu;
              const _Tp __del = __c * (__ff + __r * __q);
              __sum += __del;
              const _Tp __del1 = __c * __p - __i * __del;
              __sum1 += __del1;
              if ( std::abs(__del) < __eps * (_Tp(1) + std::abs(__sum)) )
                break;
            }
          if ( __i > __max_iter )
            std::__throw_runtime_error(("Bessel y series failed to converge " "in __bessel_jn.")
                                                             );
          __Nmu = -__sum;
          __Nnu1 = -__sum1 * __xi2;
          __Npmu = __mu * __xi * __Nmu - __Nnu1;
          __Jmu = __w / (__Npmu - __f * __Nmu);
        }
      else
        {
          _Tp __a = _Tp(0.25L) - __mu2;
          _Tp __q = _Tp(1);
          _Tp __p = -__xi / _Tp(2);
          _Tp __br = _Tp(2) * __x;
          _Tp __bi = _Tp(2);
          _Tp __fact = __a * __xi / (__p * __p + __q * __q);
          _Tp __cr = __br + __q * __fact;
          _Tp __ci = __bi + __p * __fact;
          _Tp __den = __br * __br + __bi * __bi;
          _Tp __dr = __br / __den;
          _Tp __di = -__bi / __den;
          _Tp __dlr = __cr * __dr - __ci * __di;
          _Tp __dli = __cr * __di + __ci * __dr;
          _Tp __temp = __p * __dlr - __q * __dli;
          __q = __p * __dli + __q * __dlr;
          __p = __temp;
          int __i;
          for (__i = 2; __i <= __max_iter; ++__i)
            {
              __a += _Tp(2 * (__i - 1));
              __bi += _Tp(2);
              __dr = __a * __dr + __br;
              __di = __a * __di + __bi;
              if (std::abs(__dr) + std::abs(__di) < __fp_min)
                __dr = __fp_min;
              __fact = __a / (__cr * __cr + __ci * __ci);
              __cr = __br + __cr * __fact;
              __ci = __bi - __ci * __fact;
              if (std::abs(__cr) + std::abs(__ci) < __fp_min)
                __cr = __fp_min;
              __den = __dr * __dr + __di * __di;
              __dr /= __den;
              __di /= -__den;
              __dlr = __cr * __dr - __ci * __di;
              __dli = __cr * __di + __ci * __dr;
              __temp = __p * __dlr - __q * __dli;
              __q = __p * __dli + __q * __dlr;
              __p = __temp;
              if (std::abs(__dlr - _Tp(1)) + std::abs(__dli) < __eps)
                break;
          }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Lentz's method failed " "in __bessel_jn.")
                                                             );
          const _Tp __gam = (__p - __f) / __q;
          __Jmu = std::sqrt(__w / ((__p - __f) * __gam + __q));

          __Jmu = ::std::copysign(__Jmu, __Jnul);




          __Nmu = __gam * __Jmu;
          __Npmu = (__p + __q / __gam) * __Nmu;
          __Nnu1 = __mu * __xi * __Nmu - __Npmu;
      }
      __fact = __Jmu / __Jnul;
      __Jnu = __fact * __Jnul1;
      __Jpnu = __fact * __Jpnu1;
      for (__i = 1; __i <= __nl; ++__i)
        {
          const _Tp __Nnutemp = (__mu + __i) * __xi2 * __Nnu1 - __Nmu;
          __Nmu = __Nnu1;
          __Nnu1 = __Nnutemp;
        }
      __Nnu = __Nmu;
      __Npnu = __nu * __xi * __Nmu - __Nnu1;

      return;
    }
# 361 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __cyl_bessel_jn_asymp(_Tp __nu, _Tp __x, _Tp & __Jnu, _Tp & __Nnu)
    {
      const _Tp __mu = _Tp(4) * __nu * __nu;
      const _Tp __8x = _Tp(8) * __x;

      _Tp __P = _Tp(0);
      _Tp __Q = _Tp(0);

      _Tp __k = _Tp(0);
      _Tp __term = _Tp(1);

      int __epsP = 0;
      int __epsQ = 0;

      _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      do
        {
          __term *= (__k == 0
                     ? _Tp(1)
                     : -(__mu - (2 * __k - 1) * (2 * __k - 1)) / (__k * __8x));

          __epsP = std::abs(__term) < __eps * std::abs(__P);
          __P += __term;

          __k++;

          __term *= (__mu - (2 * __k - 1) * (2 * __k - 1)) / (__k * __8x);
          __epsQ = std::abs(__term) < __eps * std::abs(__Q);
          __Q += __term;

          if (__epsP && __epsQ && __k > (__nu / 2.))
            break;

          __k++;
        }
      while (__k < 1000);

      const _Tp __chi = __x - (__nu + _Tp(0.5L))
                             * __numeric_constants<_Tp>::__pi_2();

      const _Tp __c = std::cos(__chi);
      const _Tp __s = std::sin(__chi);

      const _Tp __coef = std::sqrt(_Tp(2)
                             / (__numeric_constants<_Tp>::__pi() * __x));

      __Jnu = __coef * (__c * __P - __s * __Q);
      __Nnu = __coef * (__s * __P + __c * __Q);

      return;
    }
# 444 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __cyl_bessel_ij_series(_Tp __nu, _Tp __x, _Tp __sgn,
                           unsigned int __max_iter)
    {
      if (__x == _Tp(0))
 return __nu == _Tp(0) ? _Tp(1) : _Tp(0);

      const _Tp __x2 = __x / _Tp(2);
      _Tp __fact = __nu * std::log(__x2);

      __fact -= ::std::lgamma(__nu + _Tp(1));



      __fact = std::exp(__fact);
      const _Tp __xx4 = __sgn * __x2 * __x2;
      _Tp __Jn = _Tp(1);
      _Tp __term = _Tp(1);

      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= __xx4 / (_Tp(__i) * (__nu + _Tp(__i)));
          __Jn += __term;
          if (std::abs(__term / __Jn) < std::numeric_limits<_Tp>::epsilon())
            break;
        }

      return __fact * __Jn;
    }
# 490 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_j(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_j.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x * __x < _Tp(10) * (__nu + _Tp(1)))
        return __cyl_bessel_ij_series(__nu, __x, -_Tp(1), 200);
      else if (__x > _Tp(1000))
        {
          _Tp __J_nu, __N_nu;
          __cyl_bessel_jn_asymp(__nu, __x, __J_nu, __N_nu);
          return __J_nu;
        }
      else
        {
          _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
          __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          return __J_nu;
        }
    }
# 532 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_neumann_n(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_neumann_n.")
                                                            );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x > _Tp(1000))
        {
          _Tp __J_nu, __N_nu;
          __cyl_bessel_jn_asymp(__nu, __x, __J_nu, __N_nu);
          return __N_nu;
        }
      else
        {
          _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
          __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          return __N_nu;
        }
    }
# 569 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    void
    __sph_bessel_jn(unsigned int __n, _Tp __x,
                    _Tp & __j_n, _Tp & __n_n, _Tp & __jp_n, _Tp & __np_n)
    {
      const _Tp __nu = _Tp(__n) + _Tp(0.5L);

      _Tp __J_nu, __N_nu, __Jp_nu, __Np_nu;
      __bessel_jn(__nu, __x, __J_nu, __N_nu, __Jp_nu, __Np_nu);

      const _Tp __factor = __numeric_constants<_Tp>::__sqrtpio2()
                         / std::sqrt(__x);

      __j_n = __factor * __J_nu;
      __n_n = __factor * __N_nu;
      __jp_n = __factor * __Jp_nu - __j_n / (_Tp(2) * __x);
      __np_n = __factor * __Np_nu - __n_n / (_Tp(2) * __x);

      return;
    }
# 604 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_bessel(unsigned int __n, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __sph_bessel.")
                                                         );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == _Tp(0))
        {
          if (__n == 0)
            return _Tp(1);
          else
            return _Tp(0);
        }
      else
        {
          _Tp __j_n, __n_n, __jp_n, __np_n;
          __sph_bessel_jn(__n, __x, __j_n, __n_n, __jp_n, __np_n);
          return __j_n;
        }
    }
# 642 "/usr/aarch64-linux-gnu/include/c++/15/tr1/bessel_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_neumann(unsigned int __n, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __sph_neumann.")
                                                          );
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == _Tp(0))
        return -std::numeric_limits<_Tp>::infinity();
      else
        {
          _Tp __j_n, __n_n, __jp_n, __np_n;
          __sph_bessel_jn(__n, __x, __j_n, __n_n, __jp_n, __np_n);
          return __n_n;
        }
    }
  }






}
# 49 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/beta_function.tcc" 1 3
# 49 "/usr/aarch64-linux-gnu/include/c++/15/tr1/beta_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/aarch64-linux-gnu/include/c++/15/tr1/beta_function.tcc" 3
  namespace __detail
  {
# 79 "/usr/aarch64-linux-gnu/include/c++/15/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_gamma(_Tp __x, _Tp __y)
    {

      _Tp __bet;

      if (__x > __y)
        {
          __bet = ::std::tgamma(__x)
                / ::std::tgamma(__x + __y);
          __bet *= ::std::tgamma(__y);
        }
      else
        {
          __bet = ::std::tgamma(__y)
                / ::std::tgamma(__x + __y);
          __bet *= ::std::tgamma(__x);
        }
# 111 "/usr/aarch64-linux-gnu/include/c++/15/tr1/beta_function.tcc" 3
      return __bet;
    }
# 127 "/usr/aarch64-linux-gnu/include/c++/15/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_lgamma(_Tp __x, _Tp __y)
    {

      _Tp __bet = ::std::lgamma(__x)
                + ::std::lgamma(__y)
                - ::std::lgamma(__x + __y);





      __bet = std::exp(__bet);
      return __bet;
    }
# 158 "/usr/aarch64-linux-gnu/include/c++/15/tr1/beta_function.tcc" 3
    template<typename _Tp>
    _Tp
    __beta_product(_Tp __x, _Tp __y)
    {

      _Tp __bet = (__x + __y) / (__x * __y);

      unsigned int __max_iter = 1000000;
      for (unsigned int __k = 1; __k < __max_iter; ++__k)
        {
          _Tp __term = (_Tp(1) + (__x + __y) / __k)
                     / ((_Tp(1) + __x / __k) * (_Tp(1) + __y / __k));
          __bet *= __term;
        }

      return __bet;
    }
# 189 "/usr/aarch64-linux-gnu/include/c++/15/tr1/beta_function.tcc" 3
    template<typename _Tp>
    inline _Tp
    __beta(_Tp __x, _Tp __y)
    {
      if (__isnan(__x) || __isnan(__y))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __beta_lgamma(__x, __y);
    }
  }






}
# 50 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 1 3
# 45 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 59 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
  namespace __detail
  {
# 76 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rf(_Tp __x, _Tp __y, _Tp __z)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __lolim = _Tp(5) * __min;

      if (__x < _Tp(0) || __y < _Tp(0) || __z < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rf.")
                                                        );
      else if (__x + __y < __lolim || __x + __z < __lolim
            || __y + __z < __lolim)
        std::__throw_domain_error(("Argument too small in __ellint_rf"));
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(1) / _Tp(24);
          const _Tp __c2 = _Tp(1) / _Tp(10);
          const _Tp __c3 = _Tp(3) / _Tp(44);
          const _Tp __c4 = _Tp(1) / _Tp(14);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps, _Tp(1) / _Tp(6));
          _Tp __mu;
          _Tp __xndev, __yndev, __zndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + __zn) / _Tp(3);
              __xndev = 2 - (__mu + __xn) / __mu;
              __yndev = 2 - (__mu + __yn) / __mu;
              __zndev = 2 - (__mu + __zn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              if (__epsilon < __errtol)
                break;
              const _Tp __xnroot = std::sqrt(__xn);
              const _Tp __ynroot = std::sqrt(__yn);
              const _Tp __znroot = std::sqrt(__zn);
              const _Tp __lambda = __xnroot * (__ynroot + __znroot)
                                 + __ynroot * __znroot;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
            }

          const _Tp __e2 = __xndev * __yndev - __zndev * __zndev;
          const _Tp __e3 = __xndev * __yndev * __zndev;
          const _Tp __s = _Tp(1) + (__c1 * __e2 - __c2 - __c3 * __e3) * __e2
                   + __c4 * __e3;

          return __s / std::sqrt(__mu);
        }
    }
# 153 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_1_series(_Tp __k)
    {

      const _Tp __kk = __k * __k;

      _Tp __term = __kk / _Tp(4);
      _Tp __sum = _Tp(1) + __term;

      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 2; __i < __max_iter; ++__i)
        {
          __term *= (2 * __i - 1) * __kk / (2 * __i);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return __numeric_constants<_Tp>::__pi_2() * __sum;
    }
# 191 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_1(_Tp __k)
    {

      if (__isnan(__k))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) >= _Tp(1))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __ellint_rf(_Tp(0), _Tp(1) - __k * __k, _Tp(1));
    }
# 219 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_1(_Tp __k, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_1."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __s = std::sin(__phi_red);
          const _Tp __c = std::cos(__phi_red);

          const _Tp __F = __s
                        * __ellint_rf(__c * __c,
                                _Tp(1) - __k * __k * __s * __s, _Tp(1));

          if (__n == 0)
            return __F;
          else
            return __F + _Tp(2) * __n * __comp_ellint_1(__k);
        }
    }
# 266 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_2_series(_Tp __k)
    {

      const _Tp __kk = __k * __k;

      _Tp __term = __kk;
      _Tp __sum = __term;

      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 2; __i < __max_iter; ++__i)
        {
          const _Tp __i2m = 2 * __i - 1;
          const _Tp __i2 = 2 * __i;
          __term *= __i2m * __i2m * __kk / (__i2 * __i2);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term / __i2m;
        }

      return __numeric_constants<_Tp>::__pi_2() * (_Tp(1) - __sum);
    }
# 314 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rd(_Tp __x, _Tp __y, _Tp __z)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __errtol = std::pow(__eps / _Tp(8), _Tp(1) / _Tp(6));
      const _Tp __max = std::numeric_limits<_Tp>::max();
      const _Tp __lolim = _Tp(2) / std::pow(__max, _Tp(2) / _Tp(3));

      if (__x < _Tp(0) || __y < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rd.")
                                                        );
      else if (__x + __y < __lolim || __z < __lolim)
        std::__throw_domain_error(("Argument too small " "in __ellint_rd.")
                                                        );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(3) / _Tp(14);
          const _Tp __c2 = _Tp(1) / _Tp(6);
          const _Tp __c3 = _Tp(9) / _Tp(22);
          const _Tp __c4 = _Tp(3) / _Tp(26);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;
          _Tp __sigma = _Tp(0);
          _Tp __power4 = _Tp(1);

          _Tp __mu;
          _Tp __xndev, __yndev, __zndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + _Tp(3) * __zn) / _Tp(5);
              __xndev = (__mu - __xn) / __mu;
              __yndev = (__mu - __yn) / __mu;
              __zndev = (__mu - __zn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              if (__epsilon < __errtol)
                break;
              _Tp __xnroot = std::sqrt(__xn);
              _Tp __ynroot = std::sqrt(__yn);
              _Tp __znroot = std::sqrt(__zn);
              _Tp __lambda = __xnroot * (__ynroot + __znroot)
                           + __ynroot * __znroot;
              __sigma += __power4 / (__znroot * (__zn + __lambda));
              __power4 *= __c0;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
            }

          _Tp __ea = __xndev * __yndev;
          _Tp __eb = __zndev * __zndev;
          _Tp __ec = __ea - __eb;
          _Tp __ed = __ea - _Tp(6) * __eb;
          _Tp __ef = __ed + __ec + __ec;
          _Tp __s1 = __ed * (-__c1 + __c3 * __ed
                                   / _Tp(3) - _Tp(3) * __c4 * __zndev * __ef
                                   / _Tp(2));
          _Tp __s2 = __zndev
                   * (__c2 * __ef
                    + __zndev * (-__c3 * __ec - __zndev * __c4 - __ea));

          return _Tp(3) * __sigma + __power4 * (_Tp(1) + __s1 + __s2)
                                        / (__mu * std::sqrt(__mu));
        }
    }
# 399 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_2(_Tp __k)
    {

      if (__isnan(__k))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) == 1)
        return _Tp(1);
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __comp_ellint_2."));
      else
        {
          const _Tp __kk = __k * __k;

          return __ellint_rf(_Tp(0), _Tp(1) - __kk, _Tp(1))
               - __kk * __ellint_rd(_Tp(0), _Tp(1) - __kk, _Tp(1)) / _Tp(3);
        }
    }
# 433 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_2(_Tp __k, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_2."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __kk = __k * __k;
          const _Tp __s = std::sin(__phi_red);
          const _Tp __ss = __s * __s;
          const _Tp __sss = __ss * __s;
          const _Tp __c = std::cos(__phi_red);
          const _Tp __cc = __c * __c;

          const _Tp __E = __s
                        * __ellint_rf(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                        - __kk * __sss
                        * __ellint_rd(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                        / _Tp(3);

          if (__n == 0)
            return __E;
          else
            return __E + _Tp(2) * __n * __comp_ellint_2(__k);
        }
    }
# 492 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rc(_Tp __x, _Tp __y)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __lolim = _Tp(5) * __min;

      if (__x < _Tp(0) || __y < _Tp(0) || __x + __y < __lolim)
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rc.")
                                                        );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(1) / _Tp(7);
          const _Tp __c2 = _Tp(9) / _Tp(22);
          const _Tp __c3 = _Tp(3) / _Tp(10);
          const _Tp __c4 = _Tp(3) / _Tp(8);

          _Tp __xn = __x;
          _Tp __yn = __y;

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps / _Tp(30), _Tp(1) / _Tp(6));
          _Tp __mu;
          _Tp __sn;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + _Tp(2) * __yn) / _Tp(3);
              __sn = (__yn + __mu) / __mu - _Tp(2);
              if (std::abs(__sn) < __errtol)
                break;
              const _Tp __lambda = _Tp(2) * std::sqrt(__xn) * std::sqrt(__yn)
                             + __yn;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
            }

          _Tp __s = __sn * __sn
                  * (__c3 + __sn*(__c1 + __sn * (__c4 + __sn * __c2)));

          return (_Tp(1) + __s) / std::sqrt(__mu);
        }
    }
# 561 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_rj(_Tp __x, _Tp __y, _Tp __z, _Tp __p)
    {
      const _Tp __min = std::numeric_limits<_Tp>::min();
      const _Tp __lolim = std::pow(_Tp(5) * __min, _Tp(1)/_Tp(3));

      if (__x < _Tp(0) || __y < _Tp(0) || __z < _Tp(0))
        std::__throw_domain_error(("Argument less than zero " "in __ellint_rj.")
                                                        );
      else if (__x + __y < __lolim || __x + __z < __lolim
            || __y + __z < __lolim || __p < __lolim)
        std::__throw_domain_error(("Argument too small " "in __ellint_rj")
                                                       );
      else
        {
          const _Tp __c0 = _Tp(1) / _Tp(4);
          const _Tp __c1 = _Tp(3) / _Tp(14);
          const _Tp __c2 = _Tp(1) / _Tp(3);
          const _Tp __c3 = _Tp(3) / _Tp(22);
          const _Tp __c4 = _Tp(3) / _Tp(26);

          _Tp __xn = __x;
          _Tp __yn = __y;
          _Tp __zn = __z;
          _Tp __pn = __p;
          _Tp __sigma = _Tp(0);
          _Tp __power4 = _Tp(1);

          const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
          const _Tp __errtol = std::pow(__eps / _Tp(8), _Tp(1) / _Tp(6));

          _Tp __mu;
          _Tp __xndev, __yndev, __zndev, __pndev;

          const unsigned int __max_iter = 100;
          for (unsigned int __iter = 0; __iter < __max_iter; ++__iter)
            {
              __mu = (__xn + __yn + __zn + _Tp(2) * __pn) / _Tp(5);
              __xndev = (__mu - __xn) / __mu;
              __yndev = (__mu - __yn) / __mu;
              __zndev = (__mu - __zn) / __mu;
              __pndev = (__mu - __pn) / __mu;
              _Tp __epsilon = std::max(std::abs(__xndev), std::abs(__yndev));
              __epsilon = std::max(__epsilon, std::abs(__zndev));
              __epsilon = std::max(__epsilon, std::abs(__pndev));
              if (__epsilon < __errtol)
                break;
              const _Tp __xnroot = std::sqrt(__xn);
              const _Tp __ynroot = std::sqrt(__yn);
              const _Tp __znroot = std::sqrt(__zn);
              const _Tp __lambda = __xnroot * (__ynroot + __znroot)
                                 + __ynroot * __znroot;
              const _Tp __alpha1 = __pn * (__xnroot + __ynroot + __znroot)
                                + __xnroot * __ynroot * __znroot;
              const _Tp __alpha2 = __alpha1 * __alpha1;
              const _Tp __beta = __pn * (__pn + __lambda)
                                      * (__pn + __lambda);
              __sigma += __power4 * __ellint_rc(__alpha2, __beta);
              __power4 *= __c0;
              __xn = __c0 * (__xn + __lambda);
              __yn = __c0 * (__yn + __lambda);
              __zn = __c0 * (__zn + __lambda);
              __pn = __c0 * (__pn + __lambda);
            }

          _Tp __ea = __xndev * (__yndev + __zndev) + __yndev * __zndev;
          _Tp __eb = __xndev * __yndev * __zndev;
          _Tp __ec = __pndev * __pndev;
          _Tp __e2 = __ea - _Tp(3) * __ec;
          _Tp __e3 = __eb + _Tp(2) * __pndev * (__ea - __ec);
          _Tp __s1 = _Tp(1) + __e2 * (-__c1 + _Tp(3) * __c3 * __e2 / _Tp(4)
                            - _Tp(3) * __c4 * __e3 / _Tp(2));
          _Tp __s2 = __eb * (__c2 / _Tp(2)
                   + __pndev * (-__c3 - __c3 + __pndev * __c4));
          _Tp __s3 = __pndev * __ea * (__c2 - __pndev * __c3)
                   - __c2 * __pndev * __ec;

          return _Tp(3) * __sigma + __power4 * (__s1 + __s2 + __s3)
                                             / (__mu * std::sqrt(__mu));
        }
    }
# 661 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __comp_ellint_3(_Tp __k, _Tp __nu)
    {

      if (__isnan(__k) || __isnan(__nu))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__nu == _Tp(1))
        return std::numeric_limits<_Tp>::infinity();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __comp_ellint_3."));
      else
        {
          const _Tp __kk = __k * __k;

          return __ellint_rf(_Tp(0), _Tp(1) - __kk, _Tp(1))
               + __nu
               * __ellint_rj(_Tp(0), _Tp(1) - __kk, _Tp(1), _Tp(1) - __nu)
               / _Tp(3);
        }
    }
# 701 "/usr/aarch64-linux-gnu/include/c++/15/tr1/ell_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __ellint_3(_Tp __k, _Tp __nu, _Tp __phi)
    {

      if (__isnan(__k) || __isnan(__nu) || __isnan(__phi))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (std::abs(__k) > _Tp(1))
        std::__throw_domain_error(("Bad argument in __ellint_3."));
      else
        {

          const int __n = std::floor(__phi / __numeric_constants<_Tp>::__pi()
                                   + _Tp(0.5L));
          const _Tp __phi_red = __phi
                              - __n * __numeric_constants<_Tp>::__pi();

          const _Tp __kk = __k * __k;
          const _Tp __s = std::sin(__phi_red);
          const _Tp __ss = __s * __s;
          const _Tp __sss = __ss * __s;
          const _Tp __c = std::cos(__phi_red);
          const _Tp __cc = __c * __c;

          const _Tp __Pi = __s
                         * __ellint_rf(__cc, _Tp(1) - __kk * __ss, _Tp(1))
                         + __nu * __sss
                         * __ellint_rj(__cc, _Tp(1) - __kk * __ss, _Tp(1),
                                       _Tp(1) - __nu * __ss) / _Tp(3);

          if (__n == 0)
            return __Pi;
          else
            return __Pi + _Tp(2) * __n * __comp_ellint_3(__k, __nu);
        }
    }
  }





}
# 51 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 1 3
# 50 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 64 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
  namespace __detail
  {
    template<typename _Tp> _Tp __expint_E1(_Tp);
# 81 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1_series(_Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      _Tp __term = _Tp(1);
      _Tp __esum = _Tp(0);
      _Tp __osum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= - __x / __i;
          if (std::abs(__term) < __eps)
            break;
          if (__term >= _Tp(0))
            __esum += __term / __i;
          else
            __osum += __term / __i;
        }

      return - __esum - __osum
             - __numeric_constants<_Tp>::__gamma_e() - std::log(__x);
    }
# 118 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1_asymp(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __esum = _Tp(1);
      _Tp __osum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          _Tp __prev = __term;
          __term *= - __i / __x;
          if (std::abs(__term) > std::abs(__prev))
            break;
          if (__term >= _Tp(0))
            __esum += __term;
          else
            __osum += __term;
        }

      return std::exp(- __x) * (__esum + __osum) / __x;
    }
# 155 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_series(unsigned int __n, _Tp __x)
    {
      const unsigned int __max_iter = 1000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const int __nm1 = __n - 1;
      _Tp __ans = (__nm1 != 0
                ? _Tp(1) / __nm1 : -std::log(__x)
                                   - __numeric_constants<_Tp>::__gamma_e());
      _Tp __fact = _Tp(1);
      for (int __i = 1; __i <= __max_iter; ++__i)
        {
          __fact *= -__x / _Tp(__i);
          _Tp __del;
          if ( __i != __nm1 )
            __del = -__fact / _Tp(__i - __nm1);
          else
            {
              _Tp __psi = -__numeric_constants<_Tp>::gamma_e();
              for (int __ii = 1; __ii <= __nm1; ++__ii)
                __psi += _Tp(1) / _Tp(__ii);
              __del = __fact * (__psi - std::log(__x));
            }
          __ans += __del;
          if (std::abs(__del) < __eps * std::abs(__ans))
            return __ans;
        }
      std::__throw_runtime_error(("Series summation failed " "in __expint_En_series.")
                                                              );
    }
# 201 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_cont_frac(unsigned int __n, _Tp __x)
    {
      const unsigned int __max_iter = 1000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __fp_min = std::numeric_limits<_Tp>::min();
      const int __nm1 = __n - 1;
      _Tp __b = __x + _Tp(__n);
      _Tp __c = _Tp(1) / __fp_min;
      _Tp __d = _Tp(1) / __b;
      _Tp __h = __d;
      for ( unsigned int __i = 1; __i <= __max_iter; ++__i )
        {
          _Tp __a = -_Tp(__i * (__nm1 + __i));
          __b += _Tp(2);
          __d = _Tp(1) / (__a * __d + __b);
          __c = __b + __a / __c;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (std::abs(__del - _Tp(1)) < __eps)
            {
              const _Tp __ans = __h * std::exp(-__x);
              return __ans;
            }
        }
      std::__throw_runtime_error(("Continued fraction failed " "in __expint_En_cont_frac.")
                                                                 );
    }
# 246 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_En_recursion(unsigned int __n, _Tp __x)
    {
      _Tp __En;
      _Tp __E1 = __expint_E1(__x);
      if (__x < _Tp(__n))
        {

          __En = __E1;
          for (unsigned int __j = 2; __j < __n; ++__j)
            __En = (std::exp(-__x) - __x * __En) / _Tp(__j - 1);
        }
      else
        {

          __En = _Tp(1);
          const int __N = __n + 20;
          _Tp __save = _Tp(0);
          for (int __j = __N; __j > 0; --__j)
            {
              __En = (std::exp(-__x) - __j * __En) / __x;
              if (__j == __n)
                __save = __En;
            }
            _Tp __norm = __En / __E1;
            __En /= __norm;
        }

      return __En;
    }
# 290 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei_series(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(0);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          __term *= __x / __i;
          __sum += __term / __i;
          if (__term < std::numeric_limits<_Tp>::epsilon() * __sum)
            break;
        }

      return __numeric_constants<_Tp>::__gamma_e() + __sum + std::log(__x);
    }
# 321 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei_asymp(_Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      const unsigned int __max_iter = 1000;
      for (unsigned int __i = 1; __i < __max_iter; ++__i)
        {
          _Tp __prev = __term;
          __term *= __i / __x;
          if (__term < std::numeric_limits<_Tp>::epsilon())
            break;
          if (__term >= __prev)
            break;
          __sum += __term;
        }

      return std::exp(__x) * __sum / __x;
    }
# 354 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_Ei(_Tp __x)
    {
      if (__x < _Tp(0))
        return -__expint_E1(-__x);
      else if (__x < -std::log(std::numeric_limits<_Tp>::epsilon()))
        return __expint_Ei_series(__x);
      else
        return __expint_Ei_asymp(__x);
    }
# 378 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_E1(_Tp __x)
    {
      if (__x < _Tp(0))
        return -__expint_Ei(-__x);
      else if (__x < _Tp(1))
        return __expint_E1_series(__x);
      else if (__x < _Tp(100))
        return __expint_En_cont_frac(1, __x);
      else
        return __expint_E1_asymp(__x);
    }
# 408 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_asymp(unsigned int __n, _Tp __x)
    {
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      for (unsigned int __i = 1; __i <= __n; ++__i)
        {
          _Tp __prev = __term;
          __term *= -(__n - __i + 1) / __x;
          if (std::abs(__term) > std::abs(__prev))
            break;
          __sum += __term;
        }

      return std::exp(-__x) * __sum / __x;
    }
# 442 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint_large_n(unsigned int __n, _Tp __x)
    {
      const _Tp __xpn = __x + __n;
      const _Tp __xpn2 = __xpn * __xpn;
      _Tp __term = _Tp(1);
      _Tp __sum = _Tp(1);
      for (unsigned int __i = 1; __i <= __n; ++__i)
        {
          _Tp __prev = __term;
          __term *= (__n - 2 * (__i - 1) * __x) / __xpn2;
          if (std::abs(__term) < std::numeric_limits<_Tp>::epsilon())
            break;
          __sum += __term;
        }

      return std::exp(-__x) * __sum / __xpn;
    }
# 476 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    _Tp
    __expint(unsigned int __n, _Tp __x)
    {

      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__n <= 1 && __x == _Tp(0))
        return std::numeric_limits<_Tp>::infinity();
      else
        {
          _Tp __E0 = std::exp(__x) / __x;
          if (__n == 0)
            return __E0;

          _Tp __E1 = __expint_E1(__x);
          if (__n == 1)
            return __E1;

          if (__x == _Tp(0))
            return _Tp(1) / static_cast<_Tp>(__n - 1);

          _Tp __En = __expint_En_recursion(__n, __x);

          return __En;
        }
    }
# 516 "/usr/aarch64-linux-gnu/include/c++/15/tr1/exp_integral.tcc" 3
    template<typename _Tp>
    inline _Tp
    __expint(_Tp __x)
    {
      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __expint_Ei(__x);
    }
  }





}
# 52 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/hypergeometric.tcc" 1 3
# 44 "/usr/aarch64-linux-gnu/include/c++/15/tr1/hypergeometric.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 60 "/usr/aarch64-linux-gnu/include/c++/15/tr1/hypergeometric.tcc" 3
  namespace __detail
  {
# 83 "/usr/aarch64-linux-gnu/include/c++/15/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg_series(_Tp __a, _Tp __c, _Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      _Tp __term = _Tp(1);
      _Tp __Fac = _Tp(1);
      const unsigned int __max_iter = 100000;
      unsigned int __i;
      for (__i = 0; __i < __max_iter; ++__i)
        {
          __term *= (__a + _Tp(__i)) * __x
                  / ((__c + _Tp(__i)) * _Tp(1 + __i));
          if (std::abs(__term) < __eps)
            {
              break;
            }
          __Fac += __term;
        }
      if (__i == __max_iter)
        std::__throw_runtime_error(("Series failed to converge " "in __conf_hyperg_series.")
                                                                  );

      return __Fac;
    }
# 120 "/usr/aarch64-linux-gnu/include/c++/15/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg_luke(_Tp __a, _Tp __c, _Tp __xin)
    {
      const _Tp __big = std::pow(std::numeric_limits<_Tp>::max(), _Tp(0.16L));
      const int __nmax = 20000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __x = -__xin;
      const _Tp __x3 = __x * __x * __x;
      const _Tp __t0 = __a / __c;
      const _Tp __t1 = (__a + _Tp(1)) / (_Tp(2) * __c);
      const _Tp __t2 = (__a + _Tp(2)) / (_Tp(2) * (__c + _Tp(1)));
      _Tp __F = _Tp(1);
      _Tp __prec;

      _Tp __Bnm3 = _Tp(1);
      _Tp __Bnm2 = _Tp(1) + __t1 * __x;
      _Tp __Bnm1 = _Tp(1) + __t2 * __x * (_Tp(1) + __t1 / _Tp(3) * __x);

      _Tp __Anm3 = _Tp(1);
      _Tp __Anm2 = __Bnm2 - __t0 * __x;
      _Tp __Anm1 = __Bnm1 - __t0 * (_Tp(1) + __t2 * __x) * __x
                 + __t0 * __t1 * (__c / (__c + _Tp(1))) * __x * __x;

      int __n = 3;
      while(1)
        {
          _Tp __npam1 = _Tp(__n - 1) + __a;
          _Tp __npcm1 = _Tp(__n - 1) + __c;
          _Tp __npam2 = _Tp(__n - 2) + __a;
          _Tp __npcm2 = _Tp(__n - 2) + __c;
          _Tp __tnm1 = _Tp(2 * __n - 1);
          _Tp __tnm3 = _Tp(2 * __n - 3);
          _Tp __tnm5 = _Tp(2 * __n - 5);
          _Tp __F1 = (_Tp(__n - 2) - __a) / (_Tp(2) * __tnm3 * __npcm1);
          _Tp __F2 = (_Tp(__n) + __a) * __npam1
                   / (_Tp(4) * __tnm1 * __tnm3 * __npcm2 * __npcm1);
          _Tp __F3 = -__npam2 * __npam1 * (_Tp(__n - 2) - __a)
                   / (_Tp(8) * __tnm3 * __tnm3 * __tnm5
                   * (_Tp(__n - 3) + __c) * __npcm2 * __npcm1);
          _Tp __E = -__npam1 * (_Tp(__n - 1) - __c)
                   / (_Tp(2) * __tnm3 * __npcm2 * __npcm1);

          _Tp __An = (_Tp(1) + __F1 * __x) * __Anm1
                   + (__E + __F2 * __x) * __x * __Anm2 + __F3 * __x3 * __Anm3;
          _Tp __Bn = (_Tp(1) + __F1 * __x) * __Bnm1
                   + (__E + __F2 * __x) * __x * __Bnm2 + __F3 * __x3 * __Bnm3;
          _Tp __r = __An / __Bn;

          __prec = std::abs((__F - __r) / __F);
          __F = __r;

          if (__prec < __eps || __n > __nmax)
            break;

          if (std::abs(__An) > __big || std::abs(__Bn) > __big)
            {
              __An /= __big;
              __Bn /= __big;
              __Anm1 /= __big;
              __Bnm1 /= __big;
              __Anm2 /= __big;
              __Bnm2 /= __big;
              __Anm3 /= __big;
              __Bnm3 /= __big;
            }
          else if (std::abs(__An) < _Tp(1) / __big
                || std::abs(__Bn) < _Tp(1) / __big)
            {
              __An *= __big;
              __Bn *= __big;
              __Anm1 *= __big;
              __Bnm1 *= __big;
              __Anm2 *= __big;
              __Bnm2 *= __big;
              __Anm3 *= __big;
              __Bnm3 *= __big;
            }

          ++__n;
          __Bnm3 = __Bnm2;
          __Bnm2 = __Bnm1;
          __Bnm1 = __Bn;
          __Anm3 = __Anm2;
          __Anm2 = __Anm1;
          __Anm1 = __An;
        }

      if (__n >= __nmax)
        std::__throw_runtime_error(("Iteration failed to converge " "in __conf_hyperg_luke.")
                                                                );

      return __F;
    }
# 227 "/usr/aarch64-linux-gnu/include/c++/15/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __conf_hyperg(_Tp __a, _Tp __c, _Tp __x)
    {

      const _Tp __c_nint = ::std::nearbyint(__c);



      if (__isnan(__a) || __isnan(__c) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__c_nint == __c && __c_nint <= 0)
        return std::numeric_limits<_Tp>::infinity();
      else if (__a == _Tp(0))
        return _Tp(1);
      else if (__c == __a)
        return std::exp(__x);
      else if (__x < _Tp(0))
        return __conf_hyperg_luke(__a, __c, __x);
      else
        return __conf_hyperg_series(__a, __c, __x);
    }
# 271 "/usr/aarch64-linux-gnu/include/c++/15/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg_series(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      _Tp __term = _Tp(1);
      _Tp __Fabc = _Tp(1);
      const unsigned int __max_iter = 100000;
      unsigned int __i;
      for (__i = 0; __i < __max_iter; ++__i)
        {
          __term *= (__a + _Tp(__i)) * (__b + _Tp(__i)) * __x
                  / ((__c + _Tp(__i)) * _Tp(1 + __i));
          if (std::abs(__term) < __eps)
            {
              break;
            }
          __Fabc += __term;
        }
      if (__i == __max_iter)
        std::__throw_runtime_error(("Series failed to converge " "in __hyperg_series.")
                                                             );

      return __Fabc;
    }







    template<typename _Tp>
    _Tp
    __hyperg_luke(_Tp __a, _Tp __b, _Tp __c, _Tp __xin)
    {
      const _Tp __big = std::pow(std::numeric_limits<_Tp>::max(), _Tp(0.16L));
      const int __nmax = 20000;
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __x = -__xin;
      const _Tp __x3 = __x * __x * __x;
      const _Tp __t0 = __a * __b / __c;
      const _Tp __t1 = (__a + _Tp(1)) * (__b + _Tp(1)) / (_Tp(2) * __c);
      const _Tp __t2 = (__a + _Tp(2)) * (__b + _Tp(2))
                     / (_Tp(2) * (__c + _Tp(1)));

      _Tp __F = _Tp(1);

      _Tp __Bnm3 = _Tp(1);
      _Tp __Bnm2 = _Tp(1) + __t1 * __x;
      _Tp __Bnm1 = _Tp(1) + __t2 * __x * (_Tp(1) + __t1 / _Tp(3) * __x);

      _Tp __Anm3 = _Tp(1);
      _Tp __Anm2 = __Bnm2 - __t0 * __x;
      _Tp __Anm1 = __Bnm1 - __t0 * (_Tp(1) + __t2 * __x) * __x
                 + __t0 * __t1 * (__c / (__c + _Tp(1))) * __x * __x;

      int __n = 3;
      while (1)
        {
          const _Tp __npam1 = _Tp(__n - 1) + __a;
          const _Tp __npbm1 = _Tp(__n - 1) + __b;
          const _Tp __npcm1 = _Tp(__n - 1) + __c;
          const _Tp __npam2 = _Tp(__n - 2) + __a;
          const _Tp __npbm2 = _Tp(__n - 2) + __b;
          const _Tp __npcm2 = _Tp(__n - 2) + __c;
          const _Tp __tnm1 = _Tp(2 * __n - 1);
          const _Tp __tnm3 = _Tp(2 * __n - 3);
          const _Tp __tnm5 = _Tp(2 * __n - 5);
          const _Tp __n2 = __n * __n;
          const _Tp __F1 = (_Tp(3) * __n2 + (__a + __b - _Tp(6)) * __n
                         + _Tp(2) - __a * __b - _Tp(2) * (__a + __b))
                         / (_Tp(2) * __tnm3 * __npcm1);
          const _Tp __F2 = -(_Tp(3) * __n2 - (__a + __b + _Tp(6)) * __n
                         + _Tp(2) - __a * __b) * __npam1 * __npbm1
                         / (_Tp(4) * __tnm1 * __tnm3 * __npcm2 * __npcm1);
          const _Tp __F3 = (__npam2 * __npam1 * __npbm2 * __npbm1
                         * (_Tp(__n - 2) - __a) * (_Tp(__n - 2) - __b))
                         / (_Tp(8) * __tnm3 * __tnm3 * __tnm5
                         * (_Tp(__n - 3) + __c) * __npcm2 * __npcm1);
          const _Tp __E = -__npam1 * __npbm1 * (_Tp(__n - 1) - __c)
                         / (_Tp(2) * __tnm3 * __npcm2 * __npcm1);

          _Tp __An = (_Tp(1) + __F1 * __x) * __Anm1
                   + (__E + __F2 * __x) * __x * __Anm2 + __F3 * __x3 * __Anm3;
          _Tp __Bn = (_Tp(1) + __F1 * __x) * __Bnm1
                   + (__E + __F2 * __x) * __x * __Bnm2 + __F3 * __x3 * __Bnm3;
          const _Tp __r = __An / __Bn;

          const _Tp __prec = std::abs((__F - __r) / __F);
          __F = __r;

          if (__prec < __eps || __n > __nmax)
            break;

          if (std::abs(__An) > __big || std::abs(__Bn) > __big)
            {
              __An /= __big;
              __Bn /= __big;
              __Anm1 /= __big;
              __Bnm1 /= __big;
              __Anm2 /= __big;
              __Bnm2 /= __big;
              __Anm3 /= __big;
              __Bnm3 /= __big;
            }
          else if (std::abs(__An) < _Tp(1) / __big
                || std::abs(__Bn) < _Tp(1) / __big)
            {
              __An *= __big;
              __Bn *= __big;
              __Anm1 *= __big;
              __Bnm1 *= __big;
              __Anm2 *= __big;
              __Bnm2 *= __big;
              __Anm3 *= __big;
              __Bnm3 *= __big;
            }

          ++__n;
          __Bnm3 = __Bnm2;
          __Bnm2 = __Bnm1;
          __Bnm1 = __Bn;
          __Anm3 = __Anm2;
          __Anm2 = __Anm1;
          __Anm1 = __An;
        }

      if (__n >= __nmax)
        std::__throw_runtime_error(("Iteration failed to converge " "in __hyperg_luke.")
                                                           );

      return __F;
    }
# 438 "/usr/aarch64-linux-gnu/include/c++/15/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg_reflect(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {
      const _Tp __d = __c - __a - __b;
      const int __intd = std::floor(__d + _Tp(0.5L));
      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __toler = _Tp(1000) * __eps;
      const _Tp __log_max = std::log(std::numeric_limits<_Tp>::max());
      const bool __d_integer = (std::abs(__d - __intd) < __toler);

      if (__d_integer)
        {
          const _Tp __ln_omx = std::log(_Tp(1) - __x);
          const _Tp __ad = std::abs(__d);
          _Tp __F1, __F2;

          _Tp __d1, __d2;
          if (__d >= _Tp(0))
            {
              __d1 = __d;
              __d2 = _Tp(0);
            }
          else
            {
              __d1 = _Tp(0);
              __d2 = __d;
            }

          const _Tp __lng_c = __log_gamma(__c);


          if (__ad < __eps)
            {

              __F1 = _Tp(0);
            }
          else
            {

              bool __ok_d1 = true;
              _Tp __lng_ad, __lng_ad1, __lng_bd1;
              try
                {
                  __lng_ad = __log_gamma(__ad);
                  __lng_ad1 = __log_gamma(__a + __d1);
                  __lng_bd1 = __log_gamma(__b + __d1);
                }
              catch(...)
                {
                  __ok_d1 = false;
                }

              if (__ok_d1)
                {



                  _Tp __sum1 = _Tp(1);
                  _Tp __term = _Tp(1);
                  _Tp __ln_pre1 = __lng_ad + __lng_c + __d2 * __ln_omx
                                - __lng_ad1 - __lng_bd1;



                  for (int __i = 1; __i < __ad; ++__i)
                    {
                      const int __j = __i - 1;
                      __term *= (__a + __d2 + __j) * (__b + __d2 + __j)
                              / (_Tp(1) + __d2 + __j) / __i * (_Tp(1) - __x);
                      __sum1 += __term;
                    }

                  if (__ln_pre1 > __log_max)
                    std::__throw_runtime_error(("Overflow of gamma functions" " in __hyperg_luke.")
                                                                        );
                  else
                    __F1 = std::exp(__ln_pre1) * __sum1;
                }
              else
                {


                  __F1 = _Tp(0);
                }
            }


          bool __ok_d2 = true;
          _Tp __lng_ad2, __lng_bd2;
          try
            {
              __lng_ad2 = __log_gamma(__a + __d2);
              __lng_bd2 = __log_gamma(__b + __d2);
            }
          catch(...)
            {
              __ok_d2 = false;
            }

          if (__ok_d2)
            {


              const int __maxiter = 2000;
              const _Tp __psi_1 = -__numeric_constants<_Tp>::__gamma_e();
              const _Tp __psi_1pd = __psi(_Tp(1) + __ad);
              const _Tp __psi_apd1 = __psi(__a + __d1);
              const _Tp __psi_bpd1 = __psi(__b + __d1);

              _Tp __psi_term = __psi_1 + __psi_1pd - __psi_apd1
                             - __psi_bpd1 - __ln_omx;
              _Tp __fact = _Tp(1);
              _Tp __sum2 = __psi_term;
              _Tp __ln_pre2 = __lng_c + __d1 * __ln_omx
                            - __lng_ad2 - __lng_bd2;


              int __j;
              for (__j = 1; __j < __maxiter; ++__j)
                {


                  const _Tp __term1 = _Tp(1) / _Tp(__j)
                                    + _Tp(1) / (__ad + __j);
                  const _Tp __term2 = _Tp(1) / (__a + __d1 + _Tp(__j - 1))
                                    + _Tp(1) / (__b + __d1 + _Tp(__j - 1));
                  __psi_term += __term1 - __term2;
                  __fact *= (__a + __d1 + _Tp(__j - 1))
                          * (__b + __d1 + _Tp(__j - 1))
                          / ((__ad + __j) * __j) * (_Tp(1) - __x);
                  const _Tp __delta = __fact * __psi_term;
                  __sum2 += __delta;
                  if (std::abs(__delta) < __eps * std::abs(__sum2))
                    break;
                }
              if (__j == __maxiter)
                std::__throw_runtime_error(("Sum F2 failed to converge " "in __hyperg_reflect")
                                                                     );

              if (__sum2 == _Tp(0))
                __F2 = _Tp(0);
              else
                __F2 = std::exp(__ln_pre2) * __sum2;
            }
          else
            {


              __F2 = _Tp(0);
            }

          const _Tp __sgn_2 = (__intd % 2 == 1 ? -_Tp(1) : _Tp(1));
          const _Tp __F = __F1 + __sgn_2 * __F2;

          return __F;
        }
      else
        {




          bool __ok1 = true;
          _Tp __sgn_g1ca = _Tp(0), __ln_g1ca = _Tp(0);
          _Tp __sgn_g1cb = _Tp(0), __ln_g1cb = _Tp(0);
          try
            {
              __sgn_g1ca = __log_gamma_sign(__c - __a);
              __ln_g1ca = __log_gamma(__c - __a);
              __sgn_g1cb = __log_gamma_sign(__c - __b);
              __ln_g1cb = __log_gamma(__c - __b);
            }
          catch(...)
            {
              __ok1 = false;
            }

          bool __ok2 = true;
          _Tp __sgn_g2a = _Tp(0), __ln_g2a = _Tp(0);
          _Tp __sgn_g2b = _Tp(0), __ln_g2b = _Tp(0);
          try
            {
              __sgn_g2a = __log_gamma_sign(__a);
              __ln_g2a = __log_gamma(__a);
              __sgn_g2b = __log_gamma_sign(__b);
              __ln_g2b = __log_gamma(__b);
            }
          catch(...)
            {
              __ok2 = false;
            }

          const _Tp __sgn_gc = __log_gamma_sign(__c);
          const _Tp __ln_gc = __log_gamma(__c);
          const _Tp __sgn_gd = __log_gamma_sign(__d);
          const _Tp __ln_gd = __log_gamma(__d);
          const _Tp __sgn_gmd = __log_gamma_sign(-__d);
          const _Tp __ln_gmd = __log_gamma(-__d);

          const _Tp __sgn1 = __sgn_gc * __sgn_gd * __sgn_g1ca * __sgn_g1cb;
          const _Tp __sgn2 = __sgn_gc * __sgn_gmd * __sgn_g2a * __sgn_g2b;

          _Tp __pre1, __pre2;
          if (__ok1 && __ok2)
            {
              _Tp __ln_pre1 = __ln_gc + __ln_gd - __ln_g1ca - __ln_g1cb;
              _Tp __ln_pre2 = __ln_gc + __ln_gmd - __ln_g2a - __ln_g2b
                            + __d * std::log(_Tp(1) - __x);
              if (__ln_pre1 < __log_max && __ln_pre2 < __log_max)
                {
                  __pre1 = std::exp(__ln_pre1);
                  __pre2 = std::exp(__ln_pre2);
                  __pre1 *= __sgn1;
                  __pre2 *= __sgn2;
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else if (__ok1 && !__ok2)
            {
              _Tp __ln_pre1 = __ln_gc + __ln_gd - __ln_g1ca - __ln_g1cb;
              if (__ln_pre1 < __log_max)
                {
                  __pre1 = std::exp(__ln_pre1);
                  __pre1 *= __sgn1;
                  __pre2 = _Tp(0);
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else if (!__ok1 && __ok2)
            {
              _Tp __ln_pre2 = __ln_gc + __ln_gmd - __ln_g2a - __ln_g2b
                            + __d * std::log(_Tp(1) - __x);
              if (__ln_pre2 < __log_max)
                {
                  __pre1 = _Tp(0);
                  __pre2 = std::exp(__ln_pre2);
                  __pre2 *= __sgn2;
                }
              else
                {
                  std::__throw_runtime_error(("Overflow of gamma functions " "in __hyperg_reflect")
                                                                       );
                }
            }
          else
            {
              __pre1 = _Tp(0);
              __pre2 = _Tp(0);
              std::__throw_runtime_error(("Underflow of gamma functions " "in __hyperg_reflect")
                                                                   );
            }

          const _Tp __F1 = __hyperg_series(__a, __b, _Tp(1) - __d,
                                           _Tp(1) - __x);
          const _Tp __F2 = __hyperg_series(__c - __a, __c - __b, _Tp(1) + __d,
                                           _Tp(1) - __x);

          const _Tp __F = __pre1 * __F1 + __pre2 * __F2;

          return __F;
        }
    }
# 728 "/usr/aarch64-linux-gnu/include/c++/15/tr1/hypergeometric.tcc" 3
    template<typename _Tp>
    _Tp
    __hyperg(_Tp __a, _Tp __b, _Tp __c, _Tp __x)
    {

      const _Tp __a_nint = ::std::nearbyint(__a);
      const _Tp __b_nint = ::std::nearbyint(__b);
      const _Tp __c_nint = ::std::nearbyint(__c);





      const _Tp __toler = _Tp(1000) * std::numeric_limits<_Tp>::epsilon();
      if (std::abs(__x) >= _Tp(1))
        std::__throw_domain_error(("Argument outside unit circle " "in __hyperg.")
                                                     );
      else if (__isnan(__a) || __isnan(__b)
            || __isnan(__c) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__c_nint == __c && __c_nint <= _Tp(0))
        return std::numeric_limits<_Tp>::infinity();
      else if (std::abs(__c - __b) < __toler || std::abs(__c - __a) < __toler)
        return std::pow(_Tp(1) - __x, __c - __a - __b);
      else if (__a >= _Tp(0) && __b >= _Tp(0) && __c >= _Tp(0)
            && __x >= _Tp(0) && __x < _Tp(0.995L))
        return __hyperg_series(__a, __b, __c, __x);
      else if (std::abs(__a) < _Tp(10) && std::abs(__b) < _Tp(10))
        {


          if (__a < _Tp(0) && std::abs(__a - __a_nint) < __toler)
            return __hyperg_series(__a_nint, __b, __c, __x);
          else if (__b < _Tp(0) && std::abs(__b - __b_nint) < __toler)
            return __hyperg_series(__a, __b_nint, __c, __x);
          else if (__x < -_Tp(0.25L))
            return __hyperg_luke(__a, __b, __c, __x);
          else if (__x < _Tp(0.5L))
            return __hyperg_series(__a, __b, __c, __x);
          else
            if (std::abs(__c) > _Tp(10))
              return __hyperg_series(__a, __b, __c, __x);
            else
              return __hyperg_reflect(__a, __b, __c, __x);
        }
      else
        return __hyperg_luke(__a, __b, __c, __x);
    }
  }






}
# 53 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/legendre_function.tcc" 1 3
# 49 "/usr/aarch64-linux-gnu/include/c++/15/tr1/legendre_function.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/aarch64-linux-gnu/include/c++/15/tr1/legendre_function.tcc" 3
  namespace __detail
  {
# 80 "/usr/aarch64-linux-gnu/include/c++/15/tr1/legendre_function.tcc" 3
    template<typename _Tp>
    _Tp
    __poly_legendre_p(unsigned int __l, _Tp __x)
    {

      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x == +_Tp(1))
        return +_Tp(1);
      else if (__x == -_Tp(1))
        return (__l % 2 == 1 ? -_Tp(1) : +_Tp(1));
      else
        {
          _Tp __p_lm2 = _Tp(1);
          if (__l == 0)
            return __p_lm2;

          _Tp __p_lm1 = __x;
          if (__l == 1)
            return __p_lm1;

          _Tp __p_l = 0;
          for (unsigned int __ll = 2; __ll <= __l; ++__ll)
            {


              __p_l = _Tp(2) * __x * __p_lm1 - __p_lm2
                    - (__x * __p_lm1 - __p_lm2) / _Tp(__ll);
              __p_lm2 = __p_lm1;
              __p_lm1 = __p_l;
            }

          return __p_l;
        }
    }
# 136 "/usr/aarch64-linux-gnu/include/c++/15/tr1/legendre_function.tcc" 3
    template<typename _Tp>
    _Tp
    __assoc_legendre_p(unsigned int __l, unsigned int __m, _Tp __x,
         _Tp __phase = _Tp(+1))
    {

      if (__m > __l)
        return _Tp(0);
      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__m == 0)
        return __poly_legendre_p(__l, __x);
      else
        {
          _Tp __p_mm = _Tp(1);
          if (__m > 0)
            {


              _Tp __root = std::sqrt(_Tp(1) - __x) * std::sqrt(_Tp(1) + __x);
              _Tp __fact = _Tp(1);
              for (unsigned int __i = 1; __i <= __m; ++__i)
                {
                  __p_mm *= __phase * __fact * __root;
                  __fact += _Tp(2);
                }
            }
          if (__l == __m)
            return __p_mm;

          _Tp __p_mp1m = _Tp(2 * __m + 1) * __x * __p_mm;
          if (__l == __m + 1)
            return __p_mp1m;

          _Tp __p_lm2m = __p_mm;
          _Tp __P_lm1m = __p_mp1m;
          _Tp __p_lm = _Tp(0);
          for (unsigned int __j = __m + 2; __j <= __l; ++__j)
            {
              __p_lm = (_Tp(2 * __j - 1) * __x * __P_lm1m
                      - _Tp(__j + __m - 1) * __p_lm2m) / _Tp(__j - __m);
              __p_lm2m = __P_lm1m;
              __P_lm1m = __p_lm;
            }

          return __p_lm;
        }
    }
# 214 "/usr/aarch64-linux-gnu/include/c++/15/tr1/legendre_function.tcc" 3
    template <typename _Tp>
    _Tp
    __sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
    {
      if (__isnan(__theta))
        return std::numeric_limits<_Tp>::quiet_NaN();

      const _Tp __x = std::cos(__theta);

      if (__m > __l)
        return _Tp(0);
      else if (__m == 0)
        {
          _Tp __P = __poly_legendre_p(__l, __x);
          _Tp __fact = std::sqrt(_Tp(2 * __l + 1)
                     / (_Tp(4) * __numeric_constants<_Tp>::__pi()));
          __P *= __fact;
          return __P;
        }
      else if (__x == _Tp(1) || __x == -_Tp(1))
        {

          return _Tp(0);
        }
      else
        {





          const _Tp __sgn = ( __m % 2 == 1 ? -_Tp(1) : _Tp(1));
          const _Tp __y_mp1m_factor = __x * std::sqrt(_Tp(2 * __m + 3));

          const _Tp __lncirc = ::std::log1p(-__x * __x);





          const _Tp __lnpoch = ::std::lgamma(_Tp(__m + _Tp(0.5L)))
                             - ::std::lgamma(_Tp(__m));




          const _Tp __lnpre_val =
                    -_Tp(0.25L) * __numeric_constants<_Tp>::__lnpi()
                    + _Tp(0.5L) * (__lnpoch + __m * __lncirc);
          const _Tp __sr = std::sqrt((_Tp(2) + _Tp(1) / __m)
                         / (_Tp(4) * __numeric_constants<_Tp>::__pi()));
          _Tp __y_mm = __sgn * __sr * std::exp(__lnpre_val);
          _Tp __y_mp1m = __y_mp1m_factor * __y_mm;

          if (__l == __m)
            return __y_mm;
          else if (__l == __m + 1)
            return __y_mp1m;
          else
            {
              _Tp __y_lm = _Tp(0);


              for (unsigned int __ll = __m + 2; __ll <= __l; ++__ll)
                {
                  const _Tp __rat1 = _Tp(__ll - __m) / _Tp(__ll + __m);
                  const _Tp __rat2 = _Tp(__ll - __m - 1) / _Tp(__ll + __m - 1);
                  const _Tp __fact1 = std::sqrt(__rat1 * _Tp(2 * __ll + 1)
                                                       * _Tp(2 * __ll - 1));
                  const _Tp __fact2 = std::sqrt(__rat1 * __rat2 * _Tp(2 * __ll + 1)
                                                                / _Tp(2 * __ll - 3));
                  __y_lm = (__x * __y_mp1m * __fact1
                         - (__ll + __m - 1) * __y_mm * __fact2) / _Tp(__ll - __m);
                  __y_mm = __y_mp1m;
                  __y_mp1m = __y_lm;
                }

              return __y_lm;
            }
        }
    }
  }






}
# 54 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/modified_bessel_func.tcc" 1 3
# 51 "/usr/aarch64-linux-gnu/include/c++/15/tr1/modified_bessel_func.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 65 "/usr/aarch64-linux-gnu/include/c++/15/tr1/modified_bessel_func.tcc" 3
  namespace __detail
  {
# 83 "/usr/aarch64-linux-gnu/include/c++/15/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __bessel_ik(_Tp __nu, _Tp __x,
                _Tp & __Inu, _Tp & __Knu, _Tp & __Ipnu, _Tp & __Kpnu)
    {
      if (__x == _Tp(0))
        {
          if (__nu == _Tp(0))
            {
              __Inu = _Tp(1);
              __Ipnu = _Tp(0);
            }
          else if (__nu == _Tp(1))
            {
              __Inu = _Tp(0);
              __Ipnu = _Tp(0.5L);
            }
          else
            {
              __Inu = _Tp(0);
              __Ipnu = _Tp(0);
            }
          __Knu = std::numeric_limits<_Tp>::infinity();
          __Kpnu = -std::numeric_limits<_Tp>::infinity();
          return;
        }

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();
      const _Tp __fp_min = _Tp(10) * std::numeric_limits<_Tp>::epsilon();
      const int __max_iter = 15000;
      const _Tp __x_min = _Tp(2);

      const int __nl = static_cast<int>(__nu + _Tp(0.5L));

      const _Tp __mu = __nu - __nl;
      const _Tp __mu2 = __mu * __mu;
      const _Tp __xi = _Tp(1) / __x;
      const _Tp __xi2 = _Tp(2) * __xi;
      _Tp __h = __nu * __xi;
      if ( __h < __fp_min )
        __h = __fp_min;
      _Tp __b = __xi2 * __nu;
      _Tp __d = _Tp(0);
      _Tp __c = __h;
      int __i;
      for ( __i = 1; __i <= __max_iter; ++__i )
        {
          __b += __xi2;
          __d = _Tp(1) / (__b + __d);
          __c = __b + _Tp(1) / __c;
          const _Tp __del = __c * __d;
          __h *= __del;
          if (std::abs(__del - _Tp(1)) < __eps)
            break;
        }
      if (__i > __max_iter)
        std::__throw_runtime_error(("Argument x too large " "in __bessel_ik; " "try asymptotic expansion.")

                                                                   );
      _Tp __Inul = __fp_min;
      _Tp __Ipnul = __h * __Inul;
      _Tp __Inul1 = __Inul;
      _Tp __Ipnu1 = __Ipnul;
      _Tp __fact = __nu * __xi;
      for (int __l = __nl; __l >= 1; --__l)
        {
          const _Tp __Inutemp = __fact * __Inul + __Ipnul;
          __fact -= __xi;
          __Ipnul = __fact * __Inutemp + __Inul;
          __Inul = __Inutemp;
        }
      _Tp __f = __Ipnul / __Inul;
      _Tp __Kmu, __Knu1;
      if (__x < __x_min)
        {
          const _Tp __x2 = __x / _Tp(2);
          const _Tp __pimu = __numeric_constants<_Tp>::__pi() * __mu;
          const _Tp __fact = (std::abs(__pimu) < __eps
                            ? _Tp(1) : __pimu / std::sin(__pimu));
          _Tp __d = -std::log(__x2);
          _Tp __e = __mu * __d;
          const _Tp __fact2 = (std::abs(__e) < __eps
                            ? _Tp(1) : std::sinh(__e) / __e);
          _Tp __gam1, __gam2, __gampl, __gammi;
          __gamma_temme(__mu, __gam1, __gam2, __gampl, __gammi);
          _Tp __ff = __fact
                   * (__gam1 * std::cosh(__e) + __gam2 * __fact2 * __d);
          _Tp __sum = __ff;
          __e = std::exp(__e);
          _Tp __p = __e / (_Tp(2) * __gampl);
          _Tp __q = _Tp(1) / (_Tp(2) * __e * __gammi);
          _Tp __c = _Tp(1);
          __d = __x2 * __x2;
          _Tp __sum1 = __p;
          int __i;
          for (__i = 1; __i <= __max_iter; ++__i)
            {
              __ff = (__i * __ff + __p + __q) / (__i * __i - __mu2);
              __c *= __d / __i;
              __p /= __i - __mu;
              __q /= __i + __mu;
              const _Tp __del = __c * __ff;
              __sum += __del;
              const _Tp __del1 = __c * (__p - __i * __ff);
              __sum1 += __del1;
              if (std::abs(__del) < __eps * std::abs(__sum))
                break;
            }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Bessel k series failed to converge " "in __bessel_ik.")
                                                             );
          __Kmu = __sum;
          __Knu1 = __sum1 * __xi2;
        }
      else
        {
          _Tp __b = _Tp(2) * (_Tp(1) + __x);
          _Tp __d = _Tp(1) / __b;
          _Tp __delh = __d;
          _Tp __h = __delh;
          _Tp __q1 = _Tp(0);
          _Tp __q2 = _Tp(1);
          _Tp __a1 = _Tp(0.25L) - __mu2;
          _Tp __q = __c = __a1;
          _Tp __a = -__a1;
          _Tp __s = _Tp(1) + __q * __delh;
          int __i;
          for (__i = 2; __i <= __max_iter; ++__i)
            {
              __a -= 2 * (__i - 1);
              __c = -__a * __c / __i;
              const _Tp __qnew = (__q1 - __b * __q2) / __a;
              __q1 = __q2;
              __q2 = __qnew;
              __q += __c * __qnew;
              __b += _Tp(2);
              __d = _Tp(1) / (__b + __a * __d);
              __delh = (__b * __d - _Tp(1)) * __delh;
              __h += __delh;
              const _Tp __dels = __q * __delh;
              __s += __dels;
              if ( std::abs(__dels / __s) < __eps )
                break;
            }
          if (__i > __max_iter)
            std::__throw_runtime_error(("Steed's method failed " "in __bessel_ik.")
                                                             );
          __h = __a1 * __h;
          __Kmu = std::sqrt(__numeric_constants<_Tp>::__pi() / (_Tp(2) * __x))
                * std::exp(-__x) / __s;
          __Knu1 = __Kmu * (__mu + __x + _Tp(0.5L) - __h) * __xi;
        }

      _Tp __Kpmu = __mu * __xi * __Kmu - __Knu1;
      _Tp __Inumu = __xi / (__f * __Kmu - __Kpmu);
      __Inu = __Inumu * __Inul1 / __Inul;
      __Ipnu = __Inumu * __Ipnu1 / __Inul;
      for ( __i = 1; __i <= __nl; ++__i )
        {
          const _Tp __Knutemp = (__mu + __i) * __xi2 * __Knu1 + __Kmu;
          __Kmu = __Knu1;
          __Knu1 = __Knutemp;
        }
      __Knu = __Kmu;
      __Kpnu = __nu * __xi * __Kmu - __Knu1;

      return;
    }
# 267 "/usr/aarch64-linux-gnu/include/c++/15/tr1/modified_bessel_func.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_i(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_i.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__x * __x < _Tp(10) * (__nu + _Tp(1)))
        return __cyl_bessel_ij_series(__nu, __x, +_Tp(1), 200);
      else
        {
          _Tp __I_nu, __K_nu, __Ip_nu, __Kp_nu;
          __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          return __I_nu;
        }
    }
# 303 "/usr/aarch64-linux-gnu/include/c++/15/tr1/modified_bessel_func.tcc" 3
    template<typename _Tp>
    _Tp
    __cyl_bessel_k(_Tp __nu, _Tp __x)
    {
      if (__nu < _Tp(0) || __x < _Tp(0))
        std::__throw_domain_error(("Bad argument " "in __cyl_bessel_k.")
                                                           );
      else if (__isnan(__nu) || __isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        {
          _Tp __I_nu, __K_nu, __Ip_nu, __Kp_nu;
          __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          return __K_nu;
        }
    }
# 337 "/usr/aarch64-linux-gnu/include/c++/15/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __sph_bessel_ik(unsigned int __n, _Tp __x,
                    _Tp & __i_n, _Tp & __k_n, _Tp & __ip_n, _Tp & __kp_n)
    {
      const _Tp __nu = _Tp(__n) + _Tp(0.5L);

      _Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;
      __bessel_ik(__nu, __x, __I_nu, __K_nu, __Ip_nu, __Kp_nu);

      const _Tp __factor = __numeric_constants<_Tp>::__sqrtpio2()
                         / std::sqrt(__x);

      __i_n = __factor * __I_nu;
      __k_n = __factor * __K_nu;
      __ip_n = __factor * __Ip_nu - __i_n / (_Tp(2) * __x);
      __kp_n = __factor * __Kp_nu - __k_n / (_Tp(2) * __x);

      return;
    }
# 373 "/usr/aarch64-linux-gnu/include/c++/15/tr1/modified_bessel_func.tcc" 3
    template <typename _Tp>
    void
    __airy(_Tp __x, _Tp & __Ai, _Tp & __Bi, _Tp & __Aip, _Tp & __Bip)
    {
      const _Tp __absx = std::abs(__x);
      const _Tp __rootx = std::sqrt(__absx);
      const _Tp __z = _Tp(2) * __absx * __rootx / _Tp(3);
      const _Tp _S_inf = std::numeric_limits<_Tp>::infinity();

      if (__isnan(__x))
        __Bip = __Aip = __Bi = __Ai = std::numeric_limits<_Tp>::quiet_NaN();
      else if (__z == _S_inf)
        {
   __Aip = __Ai = _Tp(0);
   __Bip = __Bi = _S_inf;
 }
      else if (__z == -_S_inf)
 __Bip = __Aip = __Bi = __Ai = _Tp(0);
      else if (__x > _Tp(0))
        {
          _Tp __I_nu, __Ip_nu, __K_nu, __Kp_nu;

          __bessel_ik(_Tp(1) / _Tp(3), __z, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          __Ai = __rootx * __K_nu
               / (__numeric_constants<_Tp>::__sqrt3()
                * __numeric_constants<_Tp>::__pi());
          __Bi = __rootx * (__K_nu / __numeric_constants<_Tp>::__pi()
                 + _Tp(2) * __I_nu / __numeric_constants<_Tp>::__sqrt3());

          __bessel_ik(_Tp(2) / _Tp(3), __z, __I_nu, __K_nu, __Ip_nu, __Kp_nu);
          __Aip = -__x * __K_nu
                / (__numeric_constants<_Tp>::__sqrt3()
                 * __numeric_constants<_Tp>::__pi());
          __Bip = __x * (__K_nu / __numeric_constants<_Tp>::__pi()
                      + _Tp(2) * __I_nu
                      / __numeric_constants<_Tp>::__sqrt3());
        }
      else if (__x < _Tp(0))
        {
          _Tp __J_nu, __Jp_nu, __N_nu, __Np_nu;

          __bessel_jn(_Tp(1) / _Tp(3), __z, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          __Ai = __rootx * (__J_nu
                    - __N_nu / __numeric_constants<_Tp>::__sqrt3()) / _Tp(2);
          __Bi = -__rootx * (__N_nu
                    + __J_nu / __numeric_constants<_Tp>::__sqrt3()) / _Tp(2);

          __bessel_jn(_Tp(2) / _Tp(3), __z, __J_nu, __N_nu, __Jp_nu, __Np_nu);
          __Aip = __absx * (__N_nu / __numeric_constants<_Tp>::__sqrt3()
                          + __J_nu) / _Tp(2);
          __Bip = __absx * (__J_nu / __numeric_constants<_Tp>::__sqrt3()
                          - __N_nu) / _Tp(2);
        }
      else
        {



          __Ai = _Tp(0.35502805388781723926L);
          __Bi = __Ai * __numeric_constants<_Tp>::__sqrt3();




          __Aip = -_Tp(0.25881940379280679840L);
          __Bip = -__Aip * __numeric_constants<_Tp>::__sqrt3();
        }

      return;
    }
  }





}
# 55 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_hermite.tcc" 1 3
# 42 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_hermite.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 56 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_hermite.tcc" 3
  namespace __detail
  {
# 72 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_hermite.tcc" 3
    template<typename _Tp>
    _Tp
    __poly_hermite_recursion(unsigned int __n, _Tp __x)
    {

      _Tp __H_0 = 1;
      if (__n == 0)
        return __H_0;


      _Tp __H_1 = 2 * __x;
      if (__n == 1)
        return __H_1;


      _Tp __H_n, __H_nm1, __H_nm2;
      unsigned int __i;
      for (__H_nm2 = __H_0, __H_nm1 = __H_1, __i = 2; __i <= __n; ++__i)
        {
          __H_n = 2 * (__x * __H_nm1 - (__i - 1) * __H_nm2);
          __H_nm2 = __H_nm1;
          __H_nm1 = __H_n;
        }

      return __H_n;
    }
# 114 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_hermite.tcc" 3
    template<typename _Tp>
    inline _Tp
    __poly_hermite(unsigned int __n, _Tp __x)
    {
      if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else
        return __poly_hermite_recursion(__n, __x);
    }
  }





}
# 56 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_laguerre.tcc" 1 3
# 44 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_laguerre.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 60 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_laguerre.tcc" 3
  namespace __detail
  {
# 75 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_large_n(unsigned __n, _Tpa __alpha1, _Tp __x)
    {
      const _Tp __a = -_Tp(__n);
      const _Tp __b = _Tp(__alpha1) + _Tp(1);
      const _Tp __eta = _Tp(2) * __b - _Tp(4) * __a;
      const _Tp __cos2th = __x / __eta;
      const _Tp __sin2th = _Tp(1) - __cos2th;
      const _Tp __th = std::acos(std::sqrt(__cos2th));
      const _Tp __pre_h = __numeric_constants<_Tp>::__pi_2()
                        * __numeric_constants<_Tp>::__pi_2()
                        * __eta * __eta * __cos2th * __sin2th;


      const _Tp __lg_b = ::std::lgamma(_Tp(__n) + __b);
      const _Tp __lnfact = ::std::lgamma(_Tp(__n + 1));





      _Tp __pre_term1 = _Tp(0.5L) * (_Tp(1) - __b)
                      * std::log(_Tp(0.25L) * __x * __eta);
      _Tp __pre_term2 = _Tp(0.25L) * std::log(__pre_h);
      _Tp __lnpre = __lg_b - __lnfact + _Tp(0.5L) * __x
                      + __pre_term1 - __pre_term2;
      _Tp __ser_term1 = std::sin(__a * __numeric_constants<_Tp>::__pi());
      _Tp __ser_term2 = std::sin(_Tp(0.25L) * __eta
                              * (_Tp(2) * __th
                               - std::sin(_Tp(2) * __th))
                               + __numeric_constants<_Tp>::__pi_4());
      _Tp __ser = __ser_term1 + __ser_term2;

      return std::exp(__lnpre) * __ser;
    }
# 129 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_hyperg(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {
      const _Tp __b = _Tp(__alpha1) + _Tp(1);
      const _Tp __mx = -__x;
      const _Tp __tc_sgn = (__x < _Tp(0) ? _Tp(1)
                         : ((__n % 2 == 1) ? -_Tp(1) : _Tp(1)));

      _Tp __tc = _Tp(1);
      const _Tp __ax = std::abs(__x);
      for (unsigned int __k = 1; __k <= __n; ++__k)
        __tc *= (__ax / __k);

      _Tp __term = __tc * __tc_sgn;
      _Tp __sum = __term;
      for (int __k = int(__n) - 1; __k >= 0; --__k)
        {
          __term *= ((__b + _Tp(__k)) / _Tp(int(__n) - __k))
                  * _Tp(__k + 1) / __mx;
          __sum += __term;
        }

      return __sum;
    }
# 185 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre_recursion(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {

      _Tp __l_0 = _Tp(1);
      if (__n == 0)
        return __l_0;


      _Tp __l_1 = -__x + _Tp(1) + _Tp(__alpha1);
      if (__n == 1)
        return __l_1;


      _Tp __l_n2 = __l_0;
      _Tp __l_n1 = __l_1;
      _Tp __l_n = _Tp(0);
      for (unsigned int __nn = 2; __nn <= __n; ++__nn)
        {
            __l_n = (_Tp(2 * __nn - 1) + _Tp(__alpha1) - __x)
                  * __l_n1 / _Tp(__nn)
                  - (_Tp(__nn - 1) + _Tp(__alpha1)) * __l_n2 / _Tp(__nn);
            __l_n2 = __l_n1;
            __l_n1 = __l_n;
        }

      return __l_n;
    }
# 244 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_laguerre.tcc" 3
    template<typename _Tpa, typename _Tp>
    _Tp
    __poly_laguerre(unsigned int __n, _Tpa __alpha1, _Tp __x)
    {
      if (__x < _Tp(0))
        std::__throw_domain_error(("Negative argument " "in __poly_laguerre.")
                                                            );

      else if (__isnan(__x))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__n == 0)
        return _Tp(1);
      else if (__n == 1)
        return _Tp(1) + _Tp(__alpha1) - __x;
      else if (__x == _Tp(0))
        {
          _Tp __prod = _Tp(__alpha1) + _Tp(1);
          for (unsigned int __k = 2; __k <= __n; ++__k)
            __prod *= (_Tp(__alpha1) + _Tp(__k)) / _Tp(__k);
          return __prod;
        }
      else if (__n > 10000000 && _Tp(__alpha1) > -_Tp(1)
            && __x < _Tp(2) * (_Tp(__alpha1) + _Tp(1)) + _Tp(4 * __n))
        return __poly_laguerre_large_n(__n, __alpha1, __x);
      else if (_Tp(__alpha1) >= _Tp(0)
           || (__x > _Tp(0) && _Tp(__alpha1) < -_Tp(__n + 1)))
        return __poly_laguerre_recursion(__n, __alpha1, __x);
      else
        return __poly_laguerre_hyperg(__n, __alpha1, __x);
    }
# 296 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_laguerre.tcc" 3
    template<typename _Tp>
    inline _Tp
    __assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
    { return __poly_laguerre<unsigned int, _Tp>(__n, __m, __x); }
# 316 "/usr/aarch64-linux-gnu/include/c++/15/tr1/poly_laguerre.tcc" 3
    template<typename _Tp>
    inline _Tp
    __laguerre(unsigned int __n, _Tp __x)
    { return __poly_laguerre<unsigned int, _Tp>(__n, 0, __x); }
  }






}
# 57 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 1 3
# 47 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 3
namespace std __attribute__ ((__visibility__ ("default")))
{

# 63 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 3
  namespace __detail
  {
# 78 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_sum(_Tp __s)
    {

      if (__s < _Tp(1))
        std::__throw_domain_error(("Bad argument in zeta sum."));

      const unsigned int max_iter = 10000;
      _Tp __zeta = _Tp(0);
      for (unsigned int __k = 1; __k < max_iter; ++__k)
        {
          _Tp __term = std::pow(static_cast<_Tp>(__k), -__s);
          if (__term < std::numeric_limits<_Tp>::epsilon())
            {
              break;
            }
          __zeta += __term;
        }

      return __zeta;
    }
# 115 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_alt(_Tp __s)
    {
      _Tp __sgn = _Tp(1);
      _Tp __zeta = _Tp(0);
      for (unsigned int __i = 1; __i < 10000000; ++__i)
        {
          _Tp __term = __sgn / std::pow(__i, __s);
          if (std::abs(__term) < std::numeric_limits<_Tp>::epsilon())
            break;
          __zeta += __term;
          __sgn *= _Tp(-1);
        }
      __zeta /= _Tp(1) - std::pow(_Tp(2), _Tp(1) - __s);

      return __zeta;
    }
# 157 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_glob(_Tp __s)
    {
      _Tp __zeta = _Tp(0);

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      const _Tp __max_bincoeff = std::numeric_limits<_Tp>::max_exponent10
                               * std::log(_Tp(10)) - _Tp(1);



      if (__s < _Tp(0))
        {

          if (::std::fmod(__s,_Tp(2)) == _Tp(0))
            return _Tp(0);
          else

            {
              _Tp __zeta = __riemann_zeta_glob(_Tp(1) - __s);
              __zeta *= std::pow(_Tp(2)
                     * __numeric_constants<_Tp>::__pi(), __s)
                     * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                     * std::exp(::std::lgamma(_Tp(1) - __s))



                     / __numeric_constants<_Tp>::__pi();
              return __zeta;
            }
        }

      _Tp __num = _Tp(0.5L);
      const unsigned int __maxit = 10000;
      for (unsigned int __i = 0; __i < __maxit; ++__i)
        {
          bool __punt = false;
          _Tp __sgn = _Tp(1);
          _Tp __term = _Tp(0);
          for (unsigned int __j = 0; __j <= __i; ++__j)
            {

              _Tp __bincoeff = ::std::lgamma(_Tp(1 + __i))
                              - ::std::lgamma(_Tp(1 + __j))
                              - ::std::lgamma(_Tp(1 + __i - __j));





              if (__bincoeff > __max_bincoeff)
                {

                  __punt = true;
                  break;
                }
              __bincoeff = std::exp(__bincoeff);
              __term += __sgn * __bincoeff * std::pow(_Tp(1 + __j), -__s);
              __sgn *= _Tp(-1);
            }
          if (__punt)
            break;
          __term *= __num;
          __zeta += __term;
          if (std::abs(__term/__zeta) < __eps)
            break;
          __num *= _Tp(0.5L);
        }

      __zeta /= _Tp(1) - std::pow(_Tp(2), _Tp(1) - __s);

      return __zeta;
    }
# 252 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta_product(_Tp __s)
    {
      static const _Tp __prime[] = {
        _Tp(2), _Tp(3), _Tp(5), _Tp(7), _Tp(11), _Tp(13), _Tp(17), _Tp(19),
        _Tp(23), _Tp(29), _Tp(31), _Tp(37), _Tp(41), _Tp(43), _Tp(47),
        _Tp(53), _Tp(59), _Tp(61), _Tp(67), _Tp(71), _Tp(73), _Tp(79),
        _Tp(83), _Tp(89), _Tp(97), _Tp(101), _Tp(103), _Tp(107), _Tp(109)
      };
      static const unsigned int __num_primes = sizeof(__prime) / sizeof(_Tp);

      _Tp __zeta = _Tp(1);
      for (unsigned int __i = 0; __i < __num_primes; ++__i)
        {
          const _Tp __fact = _Tp(1) - std::pow(__prime[__i], -__s);
          __zeta *= __fact;
          if (_Tp(1) - __fact < std::numeric_limits<_Tp>::epsilon())
            break;
        }

      __zeta = _Tp(1) / __zeta;

      return __zeta;
    }
# 293 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __riemann_zeta(_Tp __s)
    {
      if (__isnan(__s))
        return std::numeric_limits<_Tp>::quiet_NaN();
      else if (__s == _Tp(1))
        return std::numeric_limits<_Tp>::infinity();
      else if (__s < -_Tp(19))
        {
          _Tp __zeta = __riemann_zeta_product(_Tp(1) - __s);
          __zeta *= std::pow(_Tp(2) * __numeric_constants<_Tp>::__pi(), __s)
                 * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                 * std::exp(::std::lgamma(_Tp(1) - __s))



                 / __numeric_constants<_Tp>::__pi();
          return __zeta;
        }
      else if (__s < _Tp(20))
        {

          bool __glob = true;
          if (__glob)
            return __riemann_zeta_glob(__s);
          else
            {
              if (__s > _Tp(1))
                return __riemann_zeta_sum(__s);
              else
                {
                  _Tp __zeta = std::pow(_Tp(2)
                                * __numeric_constants<_Tp>::__pi(), __s)
                         * std::sin(__numeric_constants<_Tp>::__pi_2() * __s)

                             * ::std::tgamma(_Tp(1) - __s)



                             * __riemann_zeta_sum(_Tp(1) - __s);
                  return __zeta;
                }
            }
        }
      else
        return __riemann_zeta_product(__s);
    }
# 365 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    _Tp
    __hurwitz_zeta_glob(_Tp __a, _Tp __s)
    {
      _Tp __zeta = _Tp(0);

      const _Tp __eps = std::numeric_limits<_Tp>::epsilon();

      const _Tp __max_bincoeff = std::numeric_limits<_Tp>::max_exponent10
                               * std::log(_Tp(10)) - _Tp(1);

      const unsigned int __maxit = 10000;
      for (unsigned int __i = 0; __i < __maxit; ++__i)
        {
          bool __punt = false;
          _Tp __sgn = _Tp(1);
          _Tp __term = _Tp(0);
          for (unsigned int __j = 0; __j <= __i; ++__j)
            {

              _Tp __bincoeff = ::std::lgamma(_Tp(1 + __i))
                              - ::std::lgamma(_Tp(1 + __j))
                              - ::std::lgamma(_Tp(1 + __i - __j));





              if (__bincoeff > __max_bincoeff)
                {

                  __punt = true;
                  break;
                }
              __bincoeff = std::exp(__bincoeff);
              __term += __sgn * __bincoeff * std::pow(_Tp(__a + __j), -__s);
              __sgn *= _Tp(-1);
            }
          if (__punt)
            break;
          __term /= _Tp(__i + 1);
          if (std::abs(__term / __zeta) < __eps)
            break;
          __zeta += __term;
        }

      __zeta /= __s - _Tp(1);

      return __zeta;
    }
# 430 "/usr/aarch64-linux-gnu/include/c++/15/tr1/riemann_zeta.tcc" 3
    template<typename _Tp>
    inline _Tp
    __hurwitz_zeta(_Tp __a, _Tp __s)
    { return __hurwitz_zeta_glob(__a, __s); }
  }






}
# 58 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 2 3

namespace std __attribute__ ((__visibility__ ("default")))
{

# 203 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  assoc_laguerref(unsigned int __n, unsigned int __m, float __x)
  { return __detail::__assoc_laguerre<float>(__n, __m, __x); }







  inline long double
  assoc_laguerrel(unsigned int __n, unsigned int __m, long double __x)
  { return __detail::__assoc_laguerre<long double>(__n, __m, __x); }
# 248 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    assoc_laguerre(unsigned int __n, unsigned int __m, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__assoc_laguerre<__type>(__n, __m, __x);
    }
# 264 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  assoc_legendref(unsigned int __l, unsigned int __m, float __x)
  { return __detail::__assoc_legendre_p<float>(__l, __m, __x); }






  inline long double
  assoc_legendrel(unsigned int __l, unsigned int __m, long double __x)
  { return __detail::__assoc_legendre_p<long double>(__l, __m, __x); }
# 294 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    assoc_legendre(unsigned int __l, unsigned int __m, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__assoc_legendre_p<__type>(__l, __m, __x);
    }
# 309 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  betaf(float __a, float __b)
  { return __detail::__beta<float>(__a, __b); }







  inline long double
  betal(long double __a, long double __b)
  { return __detail::__beta<long double>(__a, __b); }
# 339 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpb>
    inline typename __gnu_cxx::__promote_2<_Tpa, _Tpb>::__type
    beta(_Tpa __a, _Tpb __b)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpa, _Tpb>::__type __type;
      return __detail::__beta<__type>(__a, __b);
    }
# 355 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  comp_ellint_1f(float __k)
  { return __detail::__comp_ellint_1<float>(__k); }







  inline long double
  comp_ellint_1l(long double __k)
  { return __detail::__comp_ellint_1<long double>(__k); }
# 387 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    comp_ellint_1(_Tp __k)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__comp_ellint_1<__type>(__k);
    }
# 403 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  comp_ellint_2f(float __k)
  { return __detail::__comp_ellint_2<float>(__k); }







  inline long double
  comp_ellint_2l(long double __k)
  { return __detail::__comp_ellint_2<long double>(__k); }
# 434 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    comp_ellint_2(_Tp __k)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__comp_ellint_2<__type>(__k);
    }
# 450 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  comp_ellint_3f(float __k, float __nu)
  { return __detail::__comp_ellint_3<float>(__k, __nu); }







  inline long double
  comp_ellint_3l(long double __k, long double __nu)
  { return __detail::__comp_ellint_3<long double>(__k, __nu); }
# 485 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp, typename _Tpn>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type
    comp_ellint_3(_Tp __k, _Tpn __nu)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpn>::__type __type;
      return __detail::__comp_ellint_3<__type>(__k, __nu);
    }
# 501 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  cyl_bessel_if(float __nu, float __x)
  { return __detail::__cyl_bessel_i<float>(__nu, __x); }







  inline long double
  cyl_bessel_il(long double __nu, long double __x)
  { return __detail::__cyl_bessel_i<long double>(__nu, __x); }
# 531 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_i(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_i<__type>(__nu, __x);
    }
# 547 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  cyl_bessel_jf(float __nu, float __x)
  { return __detail::__cyl_bessel_j<float>(__nu, __x); }







  inline long double
  cyl_bessel_jl(long double __nu, long double __x)
  { return __detail::__cyl_bessel_j<long double>(__nu, __x); }
# 577 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_j(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_j<__type>(__nu, __x);
    }
# 593 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  cyl_bessel_kf(float __nu, float __x)
  { return __detail::__cyl_bessel_k<float>(__nu, __x); }







  inline long double
  cyl_bessel_kl(long double __nu, long double __x)
  { return __detail::__cyl_bessel_k<long double>(__nu, __x); }
# 629 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_bessel_k(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_bessel_k<__type>(__nu, __x);
    }
# 645 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  cyl_neumannf(float __nu, float __x)
  { return __detail::__cyl_neumann_n<float>(__nu, __x); }







  inline long double
  cyl_neumannl(long double __nu, long double __x)
  { return __detail::__cyl_neumann_n<long double>(__nu, __x); }
# 677 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tpnu, typename _Tp>
    inline typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type
    cyl_neumann(_Tpnu __nu, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_2<_Tpnu, _Tp>::__type __type;
      return __detail::__cyl_neumann_n<__type>(__nu, __x);
    }
# 693 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  ellint_1f(float __k, float __phi)
  { return __detail::__ellint_1<float>(__k, __phi); }







  inline long double
  ellint_1l(long double __k, long double __phi)
  { return __detail::__ellint_1<long double>(__k, __phi); }
# 725 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp, typename _Tpp>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
    ellint_1(_Tp __k, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
      return __detail::__ellint_1<__type>(__k, __phi);
    }
# 741 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  ellint_2f(float __k, float __phi)
  { return __detail::__ellint_2<float>(__k, __phi); }







  inline long double
  ellint_2l(long double __k, long double __phi)
  { return __detail::__ellint_2<long double>(__k, __phi); }
# 773 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp, typename _Tpp>
    inline typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type
    ellint_2(_Tp __k, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_2<_Tp, _Tpp>::__type __type;
      return __detail::__ellint_2<__type>(__k, __phi);
    }
# 789 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  ellint_3f(float __k, float __nu, float __phi)
  { return __detail::__ellint_3<float>(__k, __nu, __phi); }







  inline long double
  ellint_3l(long double __k, long double __nu, long double __phi)
  { return __detail::__ellint_3<long double>(__k, __nu, __phi); }
# 826 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp, typename _Tpn, typename _Tpp>
    inline typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type
    ellint_3(_Tp __k, _Tpn __nu, _Tpp __phi)
    {
      typedef typename __gnu_cxx::__promote_3<_Tp, _Tpn, _Tpp>::__type __type;
      return __detail::__ellint_3<__type>(__k, __nu, __phi);
    }
# 841 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  expintf(float __x)
  { return __detail::__expint<float>(__x); }







  inline long double
  expintl(long double __x)
  { return __detail::__expint<long double>(__x); }
# 866 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    expint(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__expint<__type>(__x);
    }
# 882 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  hermitef(unsigned int __n, float __x)
  { return __detail::__poly_hermite<float>(__n, __x); }







  inline long double
  hermitel(unsigned int __n, long double __x)
  { return __detail::__poly_hermite<long double>(__n, __x); }
# 914 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    hermite(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__poly_hermite<__type>(__n, __x);
    }
# 930 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  laguerref(unsigned int __n, float __x)
  { return __detail::__laguerre<float>(__n, __x); }







  inline long double
  laguerrel(unsigned int __n, long double __x)
  { return __detail::__laguerre<long double>(__n, __x); }
# 958 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    laguerre(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__laguerre<__type>(__n, __x);
    }
# 974 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  legendref(unsigned int __l, float __x)
  { return __detail::__poly_legendre_p<float>(__l, __x); }







  inline long double
  legendrel(unsigned int __l, long double __x)
  { return __detail::__poly_legendre_p<long double>(__l, __x); }
# 1003 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    legendre(unsigned int __l, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__poly_legendre_p<__type>(__l, __x);
    }
# 1019 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  riemann_zetaf(float __s)
  { return __detail::__riemann_zeta<float>(__s); }







  inline long double
  riemann_zetal(long double __s)
  { return __detail::__riemann_zeta<long double>(__s); }
# 1054 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    riemann_zeta(_Tp __s)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__riemann_zeta<__type>(__s);
    }
# 1070 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  sph_besself(unsigned int __n, float __x)
  { return __detail::__sph_bessel<float>(__n, __x); }







  inline long double
  sph_bessell(unsigned int __n, long double __x)
  { return __detail::__sph_bessel<long double>(__n, __x); }
# 1098 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_bessel(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_bessel<__type>(__n, __x);
    }
# 1114 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  sph_legendref(unsigned int __l, unsigned int __m, float __theta)
  { return __detail::__sph_legendre<float>(__l, __m, __theta); }
# 1125 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline long double
  sph_legendrel(unsigned int __l, unsigned int __m, long double __theta)
  { return __detail::__sph_legendre<long double>(__l, __m, __theta); }
# 1145 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_legendre(unsigned int __l, unsigned int __m, _Tp __theta)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_legendre<__type>(__l, __m, __theta);
    }
# 1161 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  sph_neumannf(unsigned int __n, float __x)
  { return __detail::__sph_neumann<float>(__n, __x); }







  inline long double
  sph_neumannl(unsigned int __n, long double __x)
  { return __detail::__sph_neumann<long double>(__n, __x); }
# 1189 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    sph_neumann(unsigned int __n, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __detail::__sph_neumann<__type>(__n, __x);
    }




}


namespace __gnu_cxx __attribute__ ((__visibility__ ("default")))
{

# 1216 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  airy_aif(float __x)
  {
    float __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Ai;
  }




  inline long double
  airy_ail(long double __x)
  {
    long double __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Ai;
  }




  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    airy_ai(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      __type __Ai, __Bi, __Aip, __Bip;
      std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
      return __Ai;
    }




  inline float
  airy_bif(float __x)
  {
    float __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<float>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Bi;
  }




  inline long double
  airy_bil(long double __x)
  {
    long double __Ai, __Bi, __Aip, __Bip;
    std::__detail::__airy<long double>(__x, __Ai, __Bi, __Aip, __Bip);
    return __Bi;
  }




  template<typename _Tp>
    inline typename __gnu_cxx::__promote<_Tp>::__type
    airy_bi(_Tp __x)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      __type __Ai, __Bi, __Aip, __Bip;
      std::__detail::__airy<__type>(__x, __Ai, __Bi, __Aip, __Bip);
      return __Bi;
    }
# 1292 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  conf_hypergf(float __a, float __c, float __x)
  { return std::__detail::__conf_hyperg<float>(__a, __c, __x); }
# 1303 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline long double
  conf_hypergl(long double __a, long double __c, long double __x)
  { return std::__detail::__conf_hyperg<long double>(__a, __c, __x); }
# 1323 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpc, typename _Tp>
    inline typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type
    conf_hyperg(_Tpa __a, _Tpc __c, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_3<_Tpa, _Tpc, _Tp>::__type __type;
      return std::__detail::__conf_hyperg<__type>(__a, __c, __x);
    }
# 1340 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline float
  hypergf(float __a, float __b, float __c, float __x)
  { return std::__detail::__hyperg<float>(__a, __b, __c, __x); }
# 1351 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  inline long double
  hypergl(long double __a, long double __b, long double __c, long double __x)
  { return std::__detail::__hyperg<long double>(__a, __b, __c, __x); }
# 1372 "/usr/aarch64-linux-gnu/include/c++/15/bits/specfun.h" 3
  template<typename _Tpa, typename _Tpb, typename _Tpc, typename _Tp>
    inline typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>::__type
    hyperg(_Tpa __a, _Tpb __b, _Tpc __c, _Tp __x)
    {
      typedef typename __gnu_cxx::__promote_4<_Tpa, _Tpb, _Tpc, _Tp>
  ::__type __type;
      return std::__detail::__hyperg<__type>(__a, __b, __c, __x);
    }



}
# 3914 "/usr/aarch64-linux-gnu/include/c++/15/cmath" 2 3


}
# 37 "/usr/aarch64-linux-gnu/include/c++/15/math.h" 2 3

using std::abs;
using std::acos;
using std::asin;
using std::atan;
using std::atan2;
using std::cos;
using std::sin;
using std::tan;
using std::cosh;
using std::sinh;
using std::tanh;
using std::exp;
using std::frexp;
using std::ldexp;
using std::log;
using std::log10;
using std::modf;
using std::pow;
using std::sqrt;
using std::ceil;
using std::fabs;
using std::floor;
using std::fmod;


using std::fpclassify;
using std::isfinite;
using std::isinf;
using std::isnan;
using std::isnormal;
using std::signbit;
using std::isgreater;
using std::isgreaterequal;
using std::isless;
using std::islessequal;
using std::islessgreater;
using std::isunordered;



using std::acosh;
using std::asinh;
using std::atanh;
using std::cbrt;
using std::copysign;
using std::erf;
using std::erfc;
using std::exp2;
using std::expm1;
using std::fdim;
using std::fma;
using std::fmax;
using std::fmin;
using std::hypot;
using std::ilogb;
using std::lgamma;
using std::llrint;
using std::llround;
using std::log1p;
using std::log2;
using std::logb;
using std::lrint;
using std::lround;
using std::nearbyint;
using std::nextafter;
using std::nexttoward;
using std::remainder;
using std::remquo;
using std::rint;
using std::round;
using std::scalbln;
using std::scalbn;
using std::tgamma;
using std::trunc;
# 92 "asc2eph.cpp" 2
# 1 "/usr/aarch64-linux-gnu/include/time.h" 1 3
# 29 "/usr/aarch64-linux-gnu/include/time.h" 3
# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 1 3 4
# 30 "/usr/aarch64-linux-gnu/include/time.h" 2 3



# 1 "/usr/aarch64-linux-gnu/include/bits/time.h" 1 3
# 73 "/usr/aarch64-linux-gnu/include/bits/time.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/timex.h" 1 3
# 26 "/usr/aarch64-linux-gnu/include/bits/timex.h" 3
struct timex
{
# 58 "/usr/aarch64-linux-gnu/include/bits/timex.h" 3
  unsigned int modes;
  __syscall_slong_t offset;
  __syscall_slong_t freq;
  __syscall_slong_t maxerror;
  __syscall_slong_t esterror;
  int status;
  __syscall_slong_t constant;
  __syscall_slong_t precision;
  __syscall_slong_t tolerance;
  struct timeval time;
  __syscall_slong_t tick;
  __syscall_slong_t ppsfreq;
  __syscall_slong_t jitter;
  int shift;
  __syscall_slong_t stabil;
  __syscall_slong_t jitcnt;
  __syscall_slong_t calcnt;
  __syscall_slong_t errcnt;
  __syscall_slong_t stbcnt;

  int tai;


  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32; int :32;
  int :32; int :32; int :32;

};
# 74 "/usr/aarch64-linux-gnu/include/bits/time.h" 2 3

extern "C" {


extern int clock_adjtime (__clockid_t __clock_id, struct timex *__utx) noexcept (true) __attribute__ ((__nonnull__ (2)));
# 90 "/usr/aarch64-linux-gnu/include/bits/time.h" 3
}
# 34 "/usr/aarch64-linux-gnu/include/time.h" 2 3





# 1 "/usr/aarch64-linux-gnu/include/bits/types/struct_tm.h" 1 3






struct tm
{
  int tm_sec;
  int tm_min;
  int tm_hour;
  int tm_mday;
  int tm_mon;
  int tm_year;
  int tm_wday;
  int tm_yday;
  int tm_isdst;


  long int tm_gmtoff;
  const char *tm_zone;




};
# 40 "/usr/aarch64-linux-gnu/include/time.h" 2 3
# 48 "/usr/aarch64-linux-gnu/include/time.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/struct_itimerspec.h" 1 3







struct itimerspec
  {
    struct timespec it_interval;
    struct timespec it_value;
  };
# 49 "/usr/aarch64-linux-gnu/include/time.h" 2 3
struct sigevent;
# 68 "/usr/aarch64-linux-gnu/include/time.h" 3
extern "C" {



extern clock_t clock (void) noexcept (true);



extern time_t time (time_t *__timer) noexcept (true);


extern double difftime (time_t __time1, time_t __time0);


extern time_t mktime (struct tm *__tp) noexcept (true);
# 99 "/usr/aarch64-linux-gnu/include/time.h" 3
extern size_t strftime (char *__restrict __s, size_t __maxsize,
   const char *__restrict __format,
   const struct tm *__restrict __tp)
   noexcept (true) __attribute__ ((__nonnull__ (1, 3, 4)));




extern char *strptime (const char *__restrict __s,
         const char *__restrict __fmt, struct tm *__tp)
     noexcept (true);






extern size_t strftime_l (char *__restrict __s, size_t __maxsize,
     const char *__restrict __format,
     const struct tm *__restrict __tp,
     locale_t __loc) noexcept (true);



extern char *strptime_l (const char *__restrict __s,
    const char *__restrict __fmt, struct tm *__tp,
    locale_t __loc) noexcept (true);






extern struct tm *gmtime (const time_t *__timer) noexcept (true);



extern struct tm *localtime (const time_t *__timer) noexcept (true);
# 154 "/usr/aarch64-linux-gnu/include/time.h" 3
extern struct tm *gmtime_r (const time_t *__restrict __timer,
       struct tm *__restrict __tp) noexcept (true);



extern struct tm *localtime_r (const time_t *__restrict __timer,
          struct tm *__restrict __tp) noexcept (true);
# 179 "/usr/aarch64-linux-gnu/include/time.h" 3
extern char *asctime (const struct tm *__tp) noexcept (true);



extern char *ctime (const time_t *__timer) noexcept (true);
# 197 "/usr/aarch64-linux-gnu/include/time.h" 3
extern char *asctime_r (const struct tm *__restrict __tp,
   char *__restrict __buf) noexcept (true);



extern char *ctime_r (const time_t *__restrict __timer,
        char *__restrict __buf) noexcept (true);
# 217 "/usr/aarch64-linux-gnu/include/time.h" 3
extern char *__tzname[2];
extern int __daylight;
extern long int __timezone;




extern char *tzname[2];



extern void tzset (void) noexcept (true);



extern int daylight;
extern long int timezone;
# 246 "/usr/aarch64-linux-gnu/include/time.h" 3
extern time_t timegm (struct tm *__tp) noexcept (true);
# 263 "/usr/aarch64-linux-gnu/include/time.h" 3
extern time_t timelocal (struct tm *__tp) noexcept (true);







extern int dysize (int __year) noexcept (true) __attribute__ ((__const__));
# 281 "/usr/aarch64-linux-gnu/include/time.h" 3
extern int nanosleep (const struct timespec *__requested_time,
        struct timespec *__remaining);


extern int clock_getres (clockid_t __clock_id, struct timespec *__res) noexcept (true);


extern int clock_gettime (clockid_t __clock_id, struct timespec *__tp)
     noexcept (true) __attribute__ ((__nonnull__ (2)));


extern int clock_settime (clockid_t __clock_id, const struct timespec *__tp)
     noexcept (true) __attribute__ ((__nonnull__ (2)));
# 323 "/usr/aarch64-linux-gnu/include/time.h" 3
extern int clock_nanosleep (clockid_t __clock_id, int __flags,
       const struct timespec *__req,
       struct timespec *__rem);
# 338 "/usr/aarch64-linux-gnu/include/time.h" 3
extern int clock_getcpuclockid (pid_t __pid, clockid_t *__clock_id) noexcept (true);




extern int timer_create (clockid_t __clock_id,
    struct sigevent *__restrict __evp,
    timer_t *__restrict __timerid) noexcept (true);


extern int timer_delete (timer_t __timerid) noexcept (true);



extern int timer_settime (timer_t __timerid, int __flags,
     const struct itimerspec *__restrict __value,
     struct itimerspec *__restrict __ovalue) noexcept (true);


extern int timer_gettime (timer_t __timerid, struct itimerspec *__value)
     noexcept (true);
# 376 "/usr/aarch64-linux-gnu/include/time.h" 3
extern int timer_getoverrun (timer_t __timerid) noexcept (true);






extern int timespec_get (struct timespec *__ts, int __base)
     noexcept (true) __attribute__ ((__nonnull__ (1)));
# 399 "/usr/aarch64-linux-gnu/include/time.h" 3
extern int timespec_getres (struct timespec *__ts, int __base)
     noexcept (true);
# 425 "/usr/aarch64-linux-gnu/include/time.h" 3
extern int getdate_err;
# 434 "/usr/aarch64-linux-gnu/include/time.h" 3
extern struct tm *getdate (const char *__string);
# 448 "/usr/aarch64-linux-gnu/include/time.h" 3
extern int getdate_r (const char *__restrict __string,
        struct tm *__restrict __resbufp);


}
# 93 "asc2eph.cpp" 2
# 1 "/usr/aarch64-linux-gnu/include/assert.h" 1 3
# 66 "/usr/aarch64-linux-gnu/include/assert.h" 3
extern "C" {


extern void __assert_fail (const char *__assertion, const char *__file,
      unsigned int __line, const char *__function)
     noexcept (true) __attribute__ ((__noreturn__)) __attribute__ ((__cold__));


extern void __assert_perror_fail (int __errnum, const char *__file,
      unsigned int __line, const char *__function)
     noexcept (true) __attribute__ ((__noreturn__)) __attribute__ ((__cold__));




extern void __assert (const char *__assertion, const char *__file, int __line)
     noexcept (true) __attribute__ ((__noreturn__)) __attribute__ ((__cold__));


}
# 94 "asc2eph.cpp" 2


# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/limits.h" 1 3 4
# 34 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/limits.h" 3 4
# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/syslimits.h" 1 3 4






 
# 7 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/syslimits.h" 3 4
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpedantic"
# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/limits.h" 1 3 4
# 210 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/limits.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/limits.h" 1 3 4
# 26 "/usr/aarch64-linux-gnu/include/limits.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/libc-header-start.h" 1 3 4
# 27 "/usr/aarch64-linux-gnu/include/limits.h" 2 3 4
# 195 "/usr/aarch64-linux-gnu/include/limits.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/posix1_lim.h" 1 3 4
# 27 "/usr/aarch64-linux-gnu/include/bits/posix1_lim.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3 4
# 28 "/usr/aarch64-linux-gnu/include/bits/posix1_lim.h" 2 3 4
# 161 "/usr/aarch64-linux-gnu/include/bits/posix1_lim.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/local_lim.h" 1 3 4
# 38 "/usr/aarch64-linux-gnu/include/bits/local_lim.h" 3 4
# 1 "/usr/include/linux/limits.h" 1 3 4
# 39 "/usr/aarch64-linux-gnu/include/bits/local_lim.h" 2 3 4
# 81 "/usr/aarch64-linux-gnu/include/bits/local_lim.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/pthread_stack_min-dynamic.h" 1 3 4
# 23 "/usr/aarch64-linux-gnu/include/bits/pthread_stack_min-dynamic.h" 3 4
extern "C" {
extern long int __sysconf (int __name) noexcept (true);
}
# 82 "/usr/aarch64-linux-gnu/include/bits/local_lim.h" 2 3 4
# 162 "/usr/aarch64-linux-gnu/include/bits/posix1_lim.h" 2 3 4
# 196 "/usr/aarch64-linux-gnu/include/limits.h" 2 3 4



# 1 "/usr/aarch64-linux-gnu/include/bits/posix2_lim.h" 1 3 4
# 200 "/usr/aarch64-linux-gnu/include/limits.h" 2 3 4



# 1 "/usr/aarch64-linux-gnu/include/bits/xopen_lim.h" 1 3 4
# 64 "/usr/aarch64-linux-gnu/include/bits/xopen_lim.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/uio_lim.h" 1 3 4
# 65 "/usr/aarch64-linux-gnu/include/bits/xopen_lim.h" 2 3 4
# 204 "/usr/aarch64-linux-gnu/include/limits.h" 2 3 4
# 211 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/limits.h" 2 3 4
# 10 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/syslimits.h" 2 3 4
 
# 10 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/syslimits.h" 3 4
#pragma GCC diagnostic pop
# 35 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/limits.h" 2 3 4
# 97 "asc2eph.cpp" 2




# 100 "asc2eph.cpp"
static void nxtgrp(char *header, FILE *ifile);
static void errprt( const int i, const char * msg);




#pragma pack(1)

struct header_record {
         char ttl[3][84];
         char cnam[400][6];
         double ss[3];
         int32_t ncon;
         double au;
         double emrat;
         int32_t ipt[12][3];
         int32_t numde;
         int32_t lpt[3];
       };

#pragma pack()







static FILE *get_ascii_de_file(
            const char *path_to_ascii_files, const int year, const char *de_num)
{
   unsigned i;
   FILE *rval = 
# 132 "asc2eph.cpp" 3 4
               __null
# 132 "asc2eph.cpp"
                   ;

   for( i = 0; !rval && i < 2; i++)
      {
      char buff[
# 136 "asc2eph.cpp" 3 4
               4096
# 136 "asc2eph.cpp"
                        ];
      const char *format_string = (i ? "%sasc%1c%05d.%s":
                                       "%sasc%1c%04d.%s");

      
# 140 "asc2eph.cpp" 3
     (static_cast <bool> (
# 140 "asc2eph.cpp"
     year > -30000 && year < 30000
# 140 "asc2eph.cpp" 3
     ) ? void (0) : __assert_fail (
# 140 "asc2eph.cpp"
     "year > -30000 && year < 30000"
# 140 "asc2eph.cpp" 3
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 140 "asc2eph.cpp"
                                           ;
      snprintf( buff, 
# 141 "asc2eph.cpp" 3 4
                     4096
# 141 "asc2eph.cpp"
                              , format_string, path_to_ascii_files,
                 (year < 0 ? 'm' : 'p'), abs( year), de_num);
      
# 143 "asc2eph.cpp" 3
     (static_cast <bool> (4096 
# 143 "asc2eph.cpp"
     - 1 > strlen( buff)
# 143 "asc2eph.cpp" 3
     ) ? void (0) : __assert_fail (
# 143 "asc2eph.cpp"
     "_MAX_PATH - 1 > strlen( buff)"
# 143 "asc2eph.cpp" 3
     , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 143 "asc2eph.cpp"
                                           ;
      rval = fopen( buff, "rb");
      }
   return( rval);
}
# 163 "asc2eph.cpp"
static int determine_year_range( int *year_start, int *year_end,
             int *year_step, const char *path_to_ascii_files, const char *de_num)
{
   int year;
   int max_year = 6000;
   unsigned n_found = 0;
   FILE *ifile;

   *year_step = 5;
   *year_start = *year_end = 0;



   for( year = -4000; year < max_year; year += *year_step)
      {
      ifile = get_ascii_de_file( path_to_ascii_files, year, de_num);
      if( ifile)
         {
         fclose( ifile);
         if( !n_found)
            *year_start = year;
         if( n_found == 1)
            *year_step = year - *year_start;
         n_found++;
         *year_end = year;
         max_year += *year_step;
         }





      }

   if( n_found)
      while( (ifile = get_ascii_de_file( path_to_ascii_files,
                           *year_start - *year_step, de_num)) != 
# 199 "asc2eph.cpp" 3 4
                                                                __null
# 199 "asc2eph.cpp"
                                                                    )
         {
         *year_start -= *year_step;
         fclose( ifile);
         }
   if( 1 == n_found)
      {
      *year_step = 10000;
      *year_end = *year_start + *year_step;
      }
   return( (n_found ? 0 : -1));
}


static void error_msg( void)
{
   printf( "ASC2EPH takes as command-line arguments the name of the path\n");
   printf( "to the JPL ASCII files (optionally;  default is the current path)\n");
   printf( "followed by any of the following options:\n\n");
   printf( "   -d(number)     Specifies the DE number (200,  405,  406,  etc.)\n");
   printf( "   -h(filename)   Specifies header name (default is header.xxx)\n");
   printf( "   -o(filename)   Specifies the output filename (default is jpleph.xxx)\n");
   printf( "   -r(JD1,JD2)    (or year1, year2) Specifies output range.\n");
   printf( "   -v             Verbose mode\n");
   printf( "   -v2            Extra-verbose mode\n");
}

static void update_progress_bar( const double fraction_done)
{
   static int dots_shown = 0;
   int dots_to_show = (int)( fraction_done * 79.);

   while( dots_shown < 79 && dots_shown < dots_to_show)
      {
      printf( ".");
      dots_shown++;
      }
}
# 252 "asc2eph.cpp"
double fast_strtod( const char *iptr, char **endptr);

static int get_three_doubles( char *iline, double *ovals)
{
   int i;

   for( i = 0; i < 102 && iline[i]; i++)
      if( iline[i] == 'D')
         iline[i] = 'E';




   for( i = 0; iline && i < 3; i++)
      {
      char *endptr;

      ovals[i] = fast_strtod( iline, &endptr);
      if( endptr != iline)
         iline = endptr;
      else
         iline = 
# 273 "asc2eph.cpp" 3 4
                __null
# 273 "asc2eph.cpp"
                    ;
      }
   return( i);

}





int main( const int argc, const char **argv)
{
    char header[14];
    char buff[300];
    char path_to_ascii_files[256];
    char output_filename[256];
    double jd1 = -99999999., jd2 = 99999999., db2z, *db;
    size_t i, j;
    unsigned ksize, n;
    const char *de_num = "405";
    int year;
    unsigned nrout, ncoeff, nrw, last;
    size_t out, n_padding_zeroes;
    int year_start, year_end, year_step;
    int verbose = 0;
    FILE *ifile, *ofile;
    struct header_record rec1;
    double *cval;
    char *zero_padding_buffer;
    char *cnames;
    const char *override_header_name = 
# 303 "asc2eph.cpp" 3 4
                                      __null
# 303 "asc2eph.cpp"
                                          ;
    int32_t rpt[3];
    int32_t tpt[3];

    memset( &rec1, 0, sizeof( rec1));
    if( argc < 2)
      {
      error_msg( );
      return( -1);
      }
    setvbuf( 
# 313 "asc2eph.cpp" 3
            stdout
# 313 "asc2eph.cpp"
                  , 
# 313 "asc2eph.cpp" 3 4
                    __null
# 313 "asc2eph.cpp"
                        , 
# 313 "asc2eph.cpp" 3
                          2
# 313 "asc2eph.cpp"
                                , 0);
    *output_filename = *path_to_ascii_files = '\0';
    for( i = 1; i < (unsigned)argc; i++)
       if( argv[i][0] == '-')
          switch( argv[i][1])
             {
             case 'd':
                de_num = argv[i] + 2;
                break;
             case 'h':
                override_header_name = argv[i] + 2;
                break;
             case 'r':
                sscanf( argv[i] + 2, "%lf,%lf", &jd1, &jd2);
                if( jd1 < 30000.)
                   jd1 = (2451545.0 + ((jd1)-2000.) * 365.25);
                if( jd2 < 30000.)
                   jd2 = (2451545.0 + ((jd2)-2000.) * 365.25);
                break;
             case 'o':
                strcpy( output_filename, argv[i] + 2);
                j = strlen( argv[i]);
                while( j && argv[i][j - 1] != '.')
                  j--;
                if( j)
                  de_num = argv[i] + j;
                break;
             case 'v':
                verbose = atoi( argv[i] + 2);
                if( !verbose)
                   verbose = 1;
                break;
             default:
                error_msg( );
                return( -2);
             }
        else
           strcpy( path_to_ascii_files, argv[i]);



   if( *path_to_ascii_files)

      strcat( path_to_ascii_files, "/");



   if( override_header_name)
      snprintf( buff, sizeof( buff), "%s%s", path_to_ascii_files, override_header_name);
   else
      snprintf( buff, sizeof( buff), "%sheader.%s", path_to_ascii_files, de_num);

   ifile = fopen( buff, "rb");
   if( !ifile)
      {
      printf("Cannot open header file: %s, aborted.\n",buff);
      return( -4);
      }



   if( verbose)
      puts("\n JPL ASCII-TO-DIRECT-I/O PROGRAM.\n C-version, translated from original fortran code from JPL\n");



   if( fscanf( ifile,"KSIZE= %u NCOEFF= %u", &ksize, &ncoeff) != 2)
      errprt( 1000, "KSIZE/NCOEFF fail\n");
   if( verbose)
      printf( "KSIZE = %6u  NCOEFF= %6u", (unsigned)ksize, ncoeff);
   db = (double *)malloc( (ncoeff + 3) * sizeof( double));
   zero_padding_buffer = (char *)calloc( ksize, 4);
   if( !db || !zero_padding_buffer)
      errprt( 1000, "Out of memory");



   nxtgrp( header, ifile);
   if( strcmp(header,"GROUP   1010"))
      errprt(1010,"NOT HEADER");

   for( i = 0; i < 3; i++)
      {
      if( !fgets( buff, sizeof( buff), ifile))
         errprt( 1010, "fgets fail\n");
      for( j = 0; j < sizeof( rec1.ttl[i]) && buff[j] >= ' '; j++)
         rec1.ttl[i][j] = buff[j];
      while( j < sizeof( rec1.ttl[i]))
         rec1.ttl[i][j++] = ' ';
      if( verbose)
         puts( buff);
      }



   nxtgrp( header, ifile);
   if( strcmp( header, "GROUP   1030"))
      errprt( 1030, "NOT HEADER");

   if( fscanf( ifile, " %lf %lf %lf", &rec1.ss[0], &rec1.ss[1], &rec1.ss[2]) != 3)
      errprt( 1030, "sscanf fail\n");

   if( atoi( de_num) == 403)
      rec1.ss[0] = 2305424.5;



   nxtgrp( header, ifile);
   if( strcmp( header, "GROUP   1040"))
      errprt( 1040, "NOT HEADER");

   if( fscanf( ifile, " %u", &n) != 1)
      errprt( 1040, "fscanf fail\n");
   if( verbose > 1)
      printf( "Reading %d constants\n", n);
   cnames = (char *)calloc( n, 6);
   for( i = 0; i < n; i++)
      if( fscanf( ifile, " %6c", buff) != 1)
         errprt( 1040, "fscanf fail (2)\n");
      else
         {
         memcpy( cnames + i * 6, buff, 6);
         if( i < 400)
            memcpy( rec1.cnam[i], buff, 6);
         }
   if( verbose > 1)
      printf( "%d constants read\n", n);
   rec1.ncon = (int32_t)n;







   nxtgrp( header, ifile);
   if( strcmp( header, "GROUP   1041"))
      errprt( 1041, "NOT HEADER");

   if( fscanf( ifile, " %u", &n) != 1 || !fgets( buff, 100, ifile))
      errprt( 1041, "File error");
   i = 0;
   cval = (double *)calloc( n, sizeof( double));
   while( i < n)
      {
      double temp[3];
      int n_found;

      if( !fgets( buff, 100, ifile))
         errprt( 1041, "fgets error");
      n_found = get_three_doubles( buff, temp);
      if( n_found > (int)( n - i))
         n_found = (int)( n - i);
      memcpy( cval + i, temp, n_found * sizeof( double));
      i += n_found;
      }

   for( i = 0; i < n && i < 400; i++)
      {
      for( j = 0; j < 6; j++)
         buff[j]=rec1.cnam[i][j];
      buff[6]='\0';
      if( !strcmp( buff, "AU    "))
         rec1.au = cval[i];
      if( !strcmp( buff, "EMRAT "))
         rec1.emrat = cval[i];
      if( !strcmp( buff, "DENUM "))
         rec1.numde = (long)( cval[i] + .5);
      }

   if( verbose > 1)
      {
      const size_t n_lines = n / 2 + (n & 1);

      for( i = 0; i < n_lines; i++)
         {
         printf("%.6s  %24.16E  ", cnames + i * 6, cval[i]);
         if( i + n_lines < n)
            printf("    %.6s  %24.16E\n",
                   cnames + (i + n_lines) * 6, cval[i + n_lines]);
         else
            printf( "\n");
         }
      }


   nxtgrp( header, ifile);
   if( strcmp( header, "GROUP   1050"))
      errprt( 1050, "NOT HEADER");

   memset( buff, 0, sizeof( buff));
   for( i = 0; i < 3; i++)
      if( !fgets( buff, 100, ifile))
         errprt( 1051, "fgets error");
      else
         {
         for( j = 0; j < 12; j++)
            rec1.ipt[j][i] = (int32_t)atoi( buff + j * 6);
         rec1.lpt[i] = (int32_t)atoi( buff + 72);
         rpt[i] = (int32_t)atoi( buff + 78);
         tpt[i] = (int32_t)atoi( buff + 84);
         }

   if( verbose)
      for( i = 0; i < 3; i++)
         {
         for( j = 0; j < 12; j++)
            printf( " %5d", (int)rec1.ipt[j][i]);
         printf( " %5d %5d %5d\n", (int)rec1.lpt[i],
                        (int)rpt[i], (int)tpt[i]);
         }



   if( jd1 > rec1.ss[0])
      {
      jd1 -= 2440400.5;
      jd1 = rec1.ss[2] * floor( jd1 / rec1.ss[2]) + 2440400.5;
      rec1.ss[0] = jd1;
      }
   else
      jd1 = rec1.ss[0];

   if(jd2 < rec1.ss[1])
      {
      jd2 -= 2440400.5;
      jd2 = rec1.ss[2] * ceil( jd2 / rec1.ss[2]) + 2440400.5;
      rec1.ss[1] = jd2;
      }
   else
      jd2 = rec1.ss[1];



   if( !*output_filename)
      snprintf( output_filename, sizeof( output_filename), "jpleph.%s", de_num);


   ofile=fopen( output_filename, "wb");
   if( !ofile)
      {
      printf("Cannot create binary output file: %s,aborted.\n",
                                                output_filename);
      fclose( ifile);
      return( -3);
      }




   out = fwrite( &rec1, sizeof( rec1), 1,ofile);
   if( out != 1)
      errprt( 1, "ST RECORD NOT WRITTEN BECAUSE OF ERROR\n");
   n_padding_zeroes = ksize * 4 - sizeof( rec1);
   
# 567 "asc2eph.cpp" 3
  (static_cast <bool> (
# 567 "asc2eph.cpp"
  ksize * 4 >= sizeof( rec1)
# 567 "asc2eph.cpp" 3
  ) ? void (0) : __assert_fail (
# 567 "asc2eph.cpp"
  "ksize * NRECL >= sizeof( rec1)"
# 567 "asc2eph.cpp" 3
  , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 567 "asc2eph.cpp"
                                         ;





   if( n > 400)
      {
      const size_t write_size = (n - 400) * 6;

      out = fwrite( cnames + 400 * 6, write_size, 1, ofile);
      if( out != 1)
         errprt( 1, "ND RECORD: extra constant names write error\n");
      n_padding_zeroes -= write_size;
      }
   out = fwrite( rpt, 1, sizeof( rpt), ofile);
   out += fwrite( tpt, 1, sizeof( tpt), ofile);
   if( out != sizeof( rpt) + sizeof( tpt))
      errprt( 1, "ND RECORD: write error on rpt/tpt\n");
   n_padding_zeroes -= sizeof( rpt) + sizeof( tpt);
   out = fwrite( zero_padding_buffer, n_padding_zeroes, 1, ofile);
   if( out != 1)
      errprt( 1, "ND RECORD: padding write error\n");
# 599 "asc2eph.cpp"
   
# 599 "asc2eph.cpp" 3
  (static_cast <bool> (
# 599 "asc2eph.cpp"
  n * sizeof( double) <= ksize * 4
# 599 "asc2eph.cpp" 3
  ) ? void (0) : __assert_fail (
# 599 "asc2eph.cpp"
  "n * sizeof( double) <= ksize * NRECL"
# 599 "asc2eph.cpp" 3
  , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 599 "asc2eph.cpp"
                                               ;
   if( n * sizeof( double) > ksize * 4)
      n = (ksize * 4) / sizeof( double);
   
# 602 "asc2eph.cpp" 3
  (static_cast <bool> (
# 602 "asc2eph.cpp"
  ksize * 4 > n * sizeof( double)
# 602 "asc2eph.cpp" 3
  ) ? void (0) : __assert_fail (
# 602 "asc2eph.cpp"
  "ksize * NRECL > n * sizeof( double)"
# 602 "asc2eph.cpp" 3
  , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 602 "asc2eph.cpp"
                                              ;
   n_padding_zeroes = ksize * 4 - n * sizeof( double);
   out = fwrite( cval, n * sizeof( double), 1, ofile);
   if( out != 1)
      errprt( 2, "ND RECORD: cval write error\n");
   out = fwrite( zero_padding_buffer, n_padding_zeroes, 1, ofile);
   if( out != 1)
      errprt( 2, "ND RECORD: padding write error\n");





   nxtgrp( header, ifile);
   fclose( ifile);
   if( strcmp( header, "GROUP   1070"))
      errprt( 1070, "NOT HEADER");

   nrout = 0;
   db2z = 0;

   if( determine_year_range( &year_start, &year_end, &year_step,
                                      path_to_ascii_files, de_num))
      {
      printf( "Unable to locate files in path '%s' for DE-%s\n",
                              path_to_ascii_files, de_num);
      exit( -1);
      }
   if( verbose)
      printf( "Years %d to %d found;  step size %d\n",
               year_start, year_end, year_step);



   year = (int)(((jd1)-2451545.0) / 365.25 + 2000.);
   while( year_start + year_step < year - 3)
      year_start += year_step;

   year = (int)(((jd2)-2451545.0) / 365.25 + 2000.);
   if( year_end > year + 3)
      year_end = year + 3;


   for( year = year_start; year <= year_end; year += year_step)
      {
      ifile = get_ascii_de_file( path_to_ascii_files, year, de_num);
      if( verbose)
         printf( "File for year %d %s\n", year, (ifile ? "found" : "missing"));

      while( ifile && fgets( buff, 100, ifile))
         {
         if( sscanf( buff, " %u %u ",&nrw,&ncoeff) != 2)
             {
             printf( "Failed to read record number and number of coeffs!\n");
             printf( "Input line: '%s'\n", buff);
             printf( "Prev db: %f %f %f\n", db[0], db[1], db[2]);
             errprt( nrw, "BAD END OF FILE");
             }
         if( 2 * ncoeff != ksize )
            errprt( ncoeff, "2*NCOEFF NOT EQUAL TO KSIZE");

         last = (ncoeff + 2) / 3;
         for( j = 0; j < last; j++)
            {
            if( !fgets( buff, 100, ifile))
               {
               printf( "Failed to read line %u!\n", (unsigned)j);
               errprt( nrw, "BAD END OF FILE");
               }
            if( !j || db[1] > jd1)
               get_three_doubles( buff, db + 3 * j);





            }
# 688 "asc2eph.cpp"
    db[0] = floor( db[0]) + .5;
    db[1] = floor( db[1]) + .5;





         if( db[0] >= jd2)
            {
            year = year_end + 1;
            break;
            }

         if( db[1] <= jd1)
            continue;
         if( db[1] == db2z)
            continue;
         if( nrout && db[0] != db2z)
            {


            printf( "Jump from JD %f to %f\n", db[0], db2z);
            errprt(nrw,"RECORDS DO NOT OVERLAP OR ABUT");
            }

         db2z = db[1];
         if( !nrout)
            rec1.ss[0] = db[0];
         nrout++;
         out = fwrite( db, sizeof( double), ncoeff, ofile);
         if( out != ncoeff)
            errprt(nrout,"TH RECORD NOT WRITTEN BECAUSE OF ERROR");


         if( verbose && nrout % 50 == 1 )
            {
            if( db[0] >= jd1 )
               printf( "%d EPHEMERIS RECORDS WRITTEN. LAST JED= %12.2f (%.2f)",
                              nrout, db[1], (((db[1])-2451545.0) / 365.25 + 2000.));
            else
               puts( "SEARCHING FOR THE FIRST REQUESTED RECORD...");
            printf( verbose > 1 ? "\n" : "\r");
            }
         if( !verbose)
            {
            const double fraction_done = (db[0] - jd1) / (jd2 - jd1);

            update_progress_bar( fraction_done);
            }
         }
      if( ifile)
         fclose( ifile);
      }
   if( verbose)
      printf( "\nLast rec: %d EPHEMERIS RECORDS WRITTEN. JED = %12.2f (%.2f)\n",
           nrout, rec1.ss[1], (((rec1.ss[1])-2451545.0) / 365.25 + 2000.));
   else
      printf( "\n");

   rec1.ss[1] = db2z;


   fflush( ofile);
   fseek( ofile, 0L, 
# 751 "asc2eph.cpp" 3
                    0
# 751 "asc2eph.cpp"
                            );
   fwrite( &rec1, sizeof( rec1), 1, ofile);
   free( db);


   free( cval);
   free( cnames);

   fclose( ofile);
   printf( "%.2f seconds elapsed\n",
                  (double)clock( ) / (double)
# 761 "asc2eph.cpp" 3
                                            ((__clock_t) 1000000)
# 761 "asc2eph.cpp"
                                                          );
   return( 0);
}


static void errprt( const int i, const char * msg)
{
   printf( "\nERROR #%8d  %-50s", i, msg);
   exit( 1);
}


static void nxtgrp(char * header, FILE *ifile)
{
   char buff[102];

   while( fgets( buff, 100, ifile))
      if( buff[0] != ' ' && buff[0] != '\n')
         {
         buff[12]='\0';
         strcpy( header, buff);
         if( !fgets( buff, 100, ifile))
            *buff = '\0';
         return;
         }
}
aarch64-linux-gnu-gcc -E -Wdate-time -D_FORTIFY_SOURCE=2 -g -O2 -Werror=implicit-function-declaration -ffile-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -fstack-clash-protection -Wformat -Werror=format-security -mbranch-protection=standard -Wall -pedantic -I. -I/usr/include/pluto -Wall -O3 -Wextra -Werror -pedantic -I ~/include  -c f_strtod.cpp
cc1plus: warning: ‘-Werror=’ argument ‘-Werror=implicit-function-declaration’ is not valid for C++
# 0 "f_strtod.cpp"
# 1 "/<<PKGBUILDDIR>>//"
# 0 "<built-in>"
# 0 "<command-line>"
# 1 "/usr/aarch64-linux-gnu/include/stdc-predef.h" 1 3
# 0 "<command-line>" 2
# 1 "f_strtod.cpp"
# 20 "f_strtod.cpp"
# 1 "/usr/aarch64-linux-gnu/include/assert.h" 1 3
# 35 "/usr/aarch64-linux-gnu/include/assert.h" 3
# 1 "/usr/aarch64-linux-gnu/include/features.h" 1 3
# 415 "/usr/aarch64-linux-gnu/include/features.h" 3
# 1 "/usr/aarch64-linux-gnu/include/features-time64.h" 1 3
# 20 "/usr/aarch64-linux-gnu/include/features-time64.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3
# 21 "/usr/aarch64-linux-gnu/include/features-time64.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/timesize.h" 1 3
# 22 "/usr/aarch64-linux-gnu/include/features-time64.h" 2 3
# 416 "/usr/aarch64-linux-gnu/include/features.h" 2 3
# 523 "/usr/aarch64-linux-gnu/include/features.h" 3
# 1 "/usr/aarch64-linux-gnu/include/sys/cdefs.h" 1 3
# 730 "/usr/aarch64-linux-gnu/include/sys/cdefs.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3
# 731 "/usr/aarch64-linux-gnu/include/sys/cdefs.h" 2 3
# 1 "/usr/aarch64-linux-gnu/include/bits/long-double.h" 1 3
# 732 "/usr/aarch64-linux-gnu/include/sys/cdefs.h" 2 3
# 524 "/usr/aarch64-linux-gnu/include/features.h" 2 3
# 547 "/usr/aarch64-linux-gnu/include/features.h" 3
# 1 "/usr/aarch64-linux-gnu/include/gnu/stubs.h" 1 3




# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3
# 6 "/usr/aarch64-linux-gnu/include/gnu/stubs.h" 2 3


# 1 "/usr/aarch64-linux-gnu/include/gnu/stubs-lp64.h" 1 3
# 9 "/usr/aarch64-linux-gnu/include/gnu/stubs.h" 2 3
# 548 "/usr/aarch64-linux-gnu/include/features.h" 2 3
# 36 "/usr/aarch64-linux-gnu/include/assert.h" 2 3
# 66 "/usr/aarch64-linux-gnu/include/assert.h" 3

# 66 "/usr/aarch64-linux-gnu/include/assert.h" 3
extern "C" {


extern void __assert_fail (const char *__assertion, const char *__file,
      unsigned int __line, const char *__function)
     noexcept (true) __attribute__ ((__noreturn__)) __attribute__ ((__cold__));


extern void __assert_perror_fail (int __errnum, const char *__file,
      unsigned int __line, const char *__function)
     noexcept (true) __attribute__ ((__noreturn__)) __attribute__ ((__cold__));




extern void __assert (const char *__assertion, const char *__file, int __line)
     noexcept (true) __attribute__ ((__noreturn__)) __attribute__ ((__cold__));


}
# 21 "f_strtod.cpp" 2
# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stdint.h" 1 3 4
# 9 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stdint.h" 3 4
 
# 9 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stdint.h" 3 4
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpedantic"
# 1 "/usr/aarch64-linux-gnu/include/stdint.h" 1 3 4
# 26 "/usr/aarch64-linux-gnu/include/stdint.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/libc-header-start.h" 1 3 4
# 27 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/types.h" 1 3 4
# 27 "/usr/aarch64-linux-gnu/include/bits/types.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3 4
# 28 "/usr/aarch64-linux-gnu/include/bits/types.h" 2 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/timesize.h" 1 3 4
# 29 "/usr/aarch64-linux-gnu/include/bits/types.h" 2 3 4


typedef unsigned char __u_char;
typedef unsigned short int __u_short;
typedef unsigned int __u_int;
typedef unsigned long int __u_long;


typedef signed char __int8_t;
typedef unsigned char __uint8_t;
typedef signed short int __int16_t;
typedef unsigned short int __uint16_t;
typedef signed int __int32_t;
typedef unsigned int __uint32_t;

typedef signed long int __int64_t;
typedef unsigned long int __uint64_t;






typedef __int8_t __int_least8_t;
typedef __uint8_t __uint_least8_t;
typedef __int16_t __int_least16_t;
typedef __uint16_t __uint_least16_t;
typedef __int32_t __int_least32_t;
typedef __uint32_t __uint_least32_t;
typedef __int64_t __int_least64_t;
typedef __uint64_t __uint_least64_t;



typedef long int __quad_t;
typedef unsigned long int __u_quad_t;







typedef long int __intmax_t;
typedef unsigned long int __uintmax_t;
# 141 "/usr/aarch64-linux-gnu/include/bits/types.h" 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/typesizes.h" 1 3 4
# 142 "/usr/aarch64-linux-gnu/include/bits/types.h" 2 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/time64.h" 1 3 4
# 143 "/usr/aarch64-linux-gnu/include/bits/types.h" 2 3 4


typedef unsigned long int __dev_t;
typedef unsigned int __uid_t;
typedef unsigned int __gid_t;
typedef unsigned long int __ino_t;
typedef unsigned long int __ino64_t;
typedef unsigned int __mode_t;
typedef unsigned int __nlink_t;
typedef long int __off_t;
typedef long int __off64_t;
typedef int __pid_t;
typedef struct { int __val[2]; } __fsid_t;
typedef long int __clock_t;
typedef unsigned long int __rlim_t;
typedef unsigned long int __rlim64_t;
typedef unsigned int __id_t;
typedef long int __time_t;
typedef unsigned int __useconds_t;
typedef long int __suseconds_t;
typedef long int __suseconds64_t;

typedef int __daddr_t;
typedef int __key_t;


typedef int __clockid_t;


typedef void * __timer_t;


typedef int __blksize_t;




typedef long int __blkcnt_t;
typedef long int __blkcnt64_t;


typedef unsigned long int __fsblkcnt_t;
typedef unsigned long int __fsblkcnt64_t;


typedef unsigned long int __fsfilcnt_t;
typedef unsigned long int __fsfilcnt64_t;


typedef long int __fsword_t;

typedef long int __ssize_t;


typedef long int __syscall_slong_t;

typedef unsigned long int __syscall_ulong_t;



typedef __off64_t __loff_t;
typedef char *__caddr_t;


typedef long int __intptr_t;


typedef unsigned int __socklen_t;




typedef int __sig_atomic_t;
# 28 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/wchar.h" 1 3 4
# 29 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4
# 1 "/usr/aarch64-linux-gnu/include/bits/wordsize.h" 1 3 4
# 30 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4




# 1 "/usr/aarch64-linux-gnu/include/bits/stdint-intn.h" 1 3 4
# 24 "/usr/aarch64-linux-gnu/include/bits/stdint-intn.h" 3 4
typedef __int8_t int8_t;
typedef __int16_t int16_t;
typedef __int32_t int32_t;
typedef __int64_t int64_t;
# 35 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4


# 1 "/usr/aarch64-linux-gnu/include/bits/stdint-uintn.h" 1 3 4
# 24 "/usr/aarch64-linux-gnu/include/bits/stdint-uintn.h" 3 4
typedef __uint8_t uint8_t;
typedef __uint16_t uint16_t;
typedef __uint32_t uint32_t;
typedef __uint64_t uint64_t;
# 38 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4



# 1 "/usr/aarch64-linux-gnu/include/bits/stdint-least.h" 1 3 4
# 25 "/usr/aarch64-linux-gnu/include/bits/stdint-least.h" 3 4
typedef __int_least8_t int_least8_t;
typedef __int_least16_t int_least16_t;
typedef __int_least32_t int_least32_t;
typedef __int_least64_t int_least64_t;


typedef __uint_least8_t uint_least8_t;
typedef __uint_least16_t uint_least16_t;
typedef __uint_least32_t uint_least32_t;
typedef __uint_least64_t uint_least64_t;
# 42 "/usr/aarch64-linux-gnu/include/stdint.h" 2 3 4





typedef signed char int_fast8_t;

typedef long int int_fast16_t;
typedef long int int_fast32_t;
typedef long int int_fast64_t;
# 60 "/usr/aarch64-linux-gnu/include/stdint.h" 3 4
typedef unsigned char uint_fast8_t;

typedef unsigned long int uint_fast16_t;
typedef unsigned long int uint_fast32_t;
typedef unsigned long int uint_fast64_t;
# 76 "/usr/aarch64-linux-gnu/include/stdint.h" 3 4
typedef long int intptr_t;


typedef unsigned long int uintptr_t;
# 90 "/usr/aarch64-linux-gnu/include/stdint.h" 3 4
typedef __intmax_t intmax_t;
typedef __uintmax_t uintmax_t;
# 12 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stdint.h" 2 3 4
#pragma GCC diagnostic pop
# 22 "f_strtod.cpp" 2
# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 1 3 4
# 160 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 3 4
typedef long int ptrdiff_t;
# 229 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 3 4
typedef long unsigned int size_t;
# 440 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 3 4
typedef struct {
  long long __max_align_ll __attribute__((__aligned__(__alignof__(long long))));
  long double __max_align_ld __attribute__((__aligned__(__alignof__(long double))));
# 451 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/stddef.h" 3 4
} max_align_t;






  typedef decltype(nullptr) nullptr_t;
# 23 "f_strtod.cpp" 2
# 1 "/usr/aarch64-linux-gnu/include/ctype.h" 1 3
# 28 "/usr/aarch64-linux-gnu/include/ctype.h" 3
extern "C" {
# 39 "/usr/aarch64-linux-gnu/include/ctype.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/endian.h" 1 3
# 35 "/usr/aarch64-linux-gnu/include/bits/endian.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/endianness.h" 1 3
# 36 "/usr/aarch64-linux-gnu/include/bits/endian.h" 2 3
# 40 "/usr/aarch64-linux-gnu/include/ctype.h" 2 3






enum
{
  _ISupper = ((0) < 8 ? ((1 << (0)) << 8) : ((1 << (0)) >> 8)),
  _ISlower = ((1) < 8 ? ((1 << (1)) << 8) : ((1 << (1)) >> 8)),
  _ISalpha = ((2) < 8 ? ((1 << (2)) << 8) : ((1 << (2)) >> 8)),
  _ISdigit = ((3) < 8 ? ((1 << (3)) << 8) : ((1 << (3)) >> 8)),
  _ISxdigit = ((4) < 8 ? ((1 << (4)) << 8) : ((1 << (4)) >> 8)),
  _ISspace = ((5) < 8 ? ((1 << (5)) << 8) : ((1 << (5)) >> 8)),
  _ISprint = ((6) < 8 ? ((1 << (6)) << 8) : ((1 << (6)) >> 8)),
  _ISgraph = ((7) < 8 ? ((1 << (7)) << 8) : ((1 << (7)) >> 8)),
  _ISblank = ((8) < 8 ? ((1 << (8)) << 8) : ((1 << (8)) >> 8)),
  _IScntrl = ((9) < 8 ? ((1 << (9)) << 8) : ((1 << (9)) >> 8)),
  _ISpunct = ((10) < 8 ? ((1 << (10)) << 8) : ((1 << (10)) >> 8)),
  _ISalnum = ((11) < 8 ? ((1 << (11)) << 8) : ((1 << (11)) >> 8))
};
# 79 "/usr/aarch64-linux-gnu/include/ctype.h" 3
extern const unsigned short int **__ctype_b_loc (void)
     noexcept (true) __attribute__ ((__const__));
extern const __int32_t **__ctype_tolower_loc (void)
     noexcept (true) __attribute__ ((__const__));
extern const __int32_t **__ctype_toupper_loc (void)
     noexcept (true) __attribute__ ((__const__));
# 108 "/usr/aarch64-linux-gnu/include/ctype.h" 3
extern int isalnum (int) noexcept (true);
extern int isalpha (int) noexcept (true);
extern int iscntrl (int) noexcept (true);
extern int isdigit (int) noexcept (true);
extern int islower (int) noexcept (true);
extern int isgraph (int) noexcept (true);
extern int isprint (int) noexcept (true);
extern int ispunct (int) noexcept (true);
extern int isspace (int) noexcept (true);
extern int isupper (int) noexcept (true);
extern int isxdigit (int) noexcept (true);



extern int tolower (int __c) noexcept (true);


extern int toupper (int __c) noexcept (true);




extern int isblank (int) noexcept (true);




extern int isctype (int __c, int __mask) noexcept (true);






extern int isascii (int __c) noexcept (true);



extern int toascii (int __c) noexcept (true);



extern int _toupper (int) noexcept (true);
extern int _tolower (int) noexcept (true);
# 174 "/usr/aarch64-linux-gnu/include/ctype.h" 3
extern __inline __attribute__ ((__gnu_inline__)) int isalnum (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISalnum; }
extern __inline __attribute__ ((__gnu_inline__)) int isalpha (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISalpha; }
extern __inline __attribute__ ((__gnu_inline__)) int iscntrl (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _IScntrl; }
extern __inline __attribute__ ((__gnu_inline__)) int isdigit (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISdigit; }
extern __inline __attribute__ ((__gnu_inline__)) int islower (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISlower; }
extern __inline __attribute__ ((__gnu_inline__)) int isgraph (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISgraph; }
extern __inline __attribute__ ((__gnu_inline__)) int isprint (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISprint; }
extern __inline __attribute__ ((__gnu_inline__)) int ispunct (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISpunct; }
extern __inline __attribute__ ((__gnu_inline__)) int isspace (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISspace; }
extern __inline __attribute__ ((__gnu_inline__)) int isupper (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISupper; }
extern __inline __attribute__ ((__gnu_inline__)) int isxdigit (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISxdigit; }

extern __inline __attribute__ ((__gnu_inline__)) int isblank (int __c) noexcept (true) { return (*__ctype_b_loc ())[(int) (__c)] & (unsigned short int) _ISblank; }
# 206 "/usr/aarch64-linux-gnu/include/ctype.h" 3
extern __inline __attribute__ ((__gnu_inline__)) int
__attribute__ ((__leaf__)) tolower (int __c) noexcept (true)
{
  return __c >= -128 && __c < 256 ? (*__ctype_tolower_loc ())[__c] : __c;
}

extern __inline __attribute__ ((__gnu_inline__)) int
__attribute__ ((__leaf__)) toupper (int __c) noexcept (true)
{
  return __c >= -128 && __c < 256 ? (*__ctype_toupper_loc ())[__c] : __c;
}
# 237 "/usr/aarch64-linux-gnu/include/ctype.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/locale_t.h" 1 3
# 22 "/usr/aarch64-linux-gnu/include/bits/types/locale_t.h" 3
# 1 "/usr/aarch64-linux-gnu/include/bits/types/__locale_t.h" 1 3
# 27 "/usr/aarch64-linux-gnu/include/bits/types/__locale_t.h" 3
struct __locale_struct
{

  struct __locale_data *__locales[13];


  const unsigned short int *__ctype_b;
  const int *__ctype_tolower;
  const int *__ctype_toupper;


  const char *__names[13];
};

typedef struct __locale_struct *__locale_t;
# 23 "/usr/aarch64-linux-gnu/include/bits/types/locale_t.h" 2 3

typedef __locale_t locale_t;
# 238 "/usr/aarch64-linux-gnu/include/ctype.h" 2 3
# 251 "/usr/aarch64-linux-gnu/include/ctype.h" 3
extern int isalnum_l (int, locale_t) noexcept (true);
extern int isalpha_l (int, locale_t) noexcept (true);
extern int iscntrl_l (int, locale_t) noexcept (true);
extern int isdigit_l (int, locale_t) noexcept (true);
extern int islower_l (int, locale_t) noexcept (true);
extern int isgraph_l (int, locale_t) noexcept (true);
extern int isprint_l (int, locale_t) noexcept (true);
extern int ispunct_l (int, locale_t) noexcept (true);
extern int isspace_l (int, locale_t) noexcept (true);
extern int isupper_l (int, locale_t) noexcept (true);
extern int isxdigit_l (int, locale_t) noexcept (true);

extern int isblank_l (int, locale_t) noexcept (true);



extern int __tolower_l (int __c, locale_t __l) noexcept (true);
extern int tolower_l (int __c, locale_t __l) noexcept (true);


extern int __toupper_l (int __c, locale_t __l) noexcept (true);
extern int toupper_l (int __c, locale_t __l) noexcept (true);
# 327 "/usr/aarch64-linux-gnu/include/ctype.h" 3
}
# 24 "f_strtod.cpp" 2
# 1 "/usr/lib/gcc-cross/aarch64-linux-gnu/15/include/float.h" 1 3 4
# 25 "f_strtod.cpp" 2






# 30 "f_strtod.cpp"
double fast_strtod( const char *iptr, char **endptr);
long double fast_strtold( const char *iptr, char **endptr);
# 48 "f_strtod.cpp"
   typedef uint64_t stored_digits;
# 60 "f_strtod.cpp"
inline long double ten_power( int exponent)
{
   static const long double multipliers[16] = { 1.L, 10.L, 100.L, 1000.L,
               10000.L, 100000.L, 1e+6L, 1e+7L, 1e+8L, 1e+9L, 1e+10L, 1e+11L,
               1e+12L, 1e+13L, 1e+14L, 1e+15L };
   long double rval = multipliers[exponent & 0xf];

   
# 67 "f_strtod.cpp" 3
  (static_cast <bool> (
# 67 "f_strtod.cpp"
  exponent >= 0
# 67 "f_strtod.cpp" 3
  ) ? void (0) : __assert_fail (
# 67 "f_strtod.cpp"
  "exponent >= 0"
# 67 "f_strtod.cpp" 3
  , __builtin_FILE (), __builtin_LINE (), __extension__ __PRETTY_FUNCTION__))
# 67 "f_strtod.cpp"
                        ;
   exponent >>= 4;
   if( exponent)
      {
      int i;
      static const long double big_multipliers[] = { 1e+16L, 1e+32L, 1e+64L,
            1e+128L




          , 1e+256L


          , 1e+512L


          , 1e+1024L


          , 1e+2048L


          , 1e+4096L

         };

      exponent &= 0x1ff;
      for( i = 0; exponent; i++, exponent >>= 1)
         if( exponent & 1)
            rval *= big_multipliers[i];
      }
   return( rval);
}
# 202 "f_strtod.cpp"
long double fast_strtold( const char *iptr, char **endptr)
{
   int n_skipped_digits = 0;
   const stored_digits max_rval = 
# 205 "f_strtod.cpp" 3 4
                                 (18446744073709551615UL) 
# 205 "f_strtod.cpp"
                                                   / (stored_digits)10 - 1;
   stored_digits rval = 0, part_two = 0;
   const char *decimal_point = 
# 207 "f_strtod.cpp" 3 4
                              __null
# 207 "f_strtod.cpp"
                                  ;
   int part_two_digits = 0, downshift = 0;
   int exponent = 0, exponent2, pass;
   bool exponent_is_negative = false;
   bool is_negative = false;
   bool digits_found = false;
   long double d_rval, ten_pow;

   if( endptr)
      *endptr = (char *)iptr;
   while( isspace( *iptr))
      iptr++;
   if( *iptr == '+')
      iptr++;
   else if( *iptr == '-')
      {
      iptr++;
      is_negative = true;
      }
# 236 "f_strtod.cpp"
   for( pass = 0; pass < 2; pass++)
      {
      while( *iptr >= '0' && *iptr <= '9')
         {
         digits_found = true;
         if( rval < max_rval)
            rval = rval * 10 + (stored_digits)( *iptr - '0');
         else
            {
            if( part_two < max_rval)
               {
               part_two = part_two * 10 + (stored_digits)( *iptr - '0');
               part_two_digits++;
               }
            else
               n_skipped_digits++;
            }
         iptr++;
         }
      if( !pass && *iptr == '.')
         decimal_point = ++iptr;
      else
         break;
      }
   if( !digits_found)
      return( 0.);
   if( decimal_point)
      downshift = (int)( iptr - decimal_point);
   if( *iptr == 'e' || *iptr == 'E')
      {
      const char *iptr2 = iptr;

      iptr2++;
      if( *iptr2 == '+')
         iptr2++;
      else if( *iptr2 == '-')
         {
         exponent_is_negative = true;
         iptr2++;
         }
      while( *iptr2 >= '0' && *iptr2 <= '9')
         {
         exponent = exponent * 10 + (int)( *iptr2++ - '0');
         iptr = iptr2;
         }
      if( exponent_is_negative)
         exponent = -exponent;
      }
   exponent += part_two_digits + n_skipped_digits - downshift;
   exponent2 = exponent - part_two_digits;
   d_rval = (long double)rval;
   if( exponent < 0)
      {
      exponent = -exponent;
      exponent_is_negative = true;
      }
   else
      exponent_is_negative = false;
   if( exponent >= 4096)
      {
      if( exponent_is_negative)
         d_rval /= 1e+4096L;
      else
         d_rval *= 1e+4096L;
      exponent -= 4096;
      }
   ten_pow = ten_power( exponent);
   if( exponent_is_negative)
      d_rval /= ten_pow;
   else
      d_rval *= ten_pow;
   if( part_two_digits)
      {
      long double tval = (long double)part_two;

      if( exponent2 < 0)
          tval /= ten_power( -exponent2);
      else
          tval *= ten_power( exponent2);
      d_rval += tval;
      }
   if( endptr)
      *endptr = (char *)iptr;
   return( is_negative ? -d_rval : d_rval);
}
# 331 "f_strtod.cpp"
double fast_strtod( const char *iptr, char **endptr)
{
   return( (double)fast_strtold( iptr, endptr));
}
aarch64-linux-gnu-gcc -o asc2eph asc2eph.o f_strtod.o -lm -Wl,-z,relro -Wl,-z,now
/usr/bin/aarch64-linux-gnu-ld.bfd: cannot find asc2eph.o: No such file or directory
/usr/bin/aarch64-linux-gnu-ld.bfd: cannot find f_strtod.o: No such file or directory
collect2: error: ld returned 1 exit status
make[1]: *** [makefile:103: asc2eph] Error 1
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
dh_auto_build: error: make -j1 INSTALL="install --strip-program=true" PKG_CONFIG=aarch64-linux-gnu-pkg-config CXX=aarch64-linux-gnu-g\+\+ CC=aarch64-linux-gnu-gcc returned exit code 2
make: *** [debian/rules:10: binary-arch] Error 25
dpkg-buildpackage: error: debian/rules binary-arch subprocess failed with exit status 2
--------------------------------------------------------------------------------
Build finished at 2026-04-05T17:31:02Z

+------------------------------------------------------------------------------+
| Finished Timed Build Commands                                                |
+------------------------------------------------------------------------------+


rm -Rf /<<PKGBUILDDIR>>/
-------------------------------------------------------------------------


I: Finished running 'rm -Rf /<<PKGBUILDDIR>>/'.

Finished processing commands.
--------------------------------------------------------------------------------

Finished
--------


+------------------------------------------------------------------------------+
| Cleanup                                                                      |
+------------------------------------------------------------------------------+

Purging /<<BUILDDIR>>
Not cleaning session: cloned chroot in use
E: Build failure (dpkg-buildpackage died)

+------------------------------------------------------------------------------+
| Summary                                                                      |
+------------------------------------------------------------------------------+

Build Architecture: amd64
Build Profiles: cross nocheck
Build Type: any
Build-Space: n/a
Build-Time: 1
Distribution: unstable
Fail-Stage: build
Foreign Architectures: arm64
Host Architecture: arm64
Install-Time: 9
Job: pluto-jpl-eph_0.0~git20240106.0c2782e-1
Machine Architecture: amd64
Package: pluto-jpl-eph
Package-Time: 21
Source-Version: 0.0~git20240106.0c2782e-1
Space: n/a
Status: attempted
Version: 0.0~git20240106.0c2782e-1
--------------------------------------------------------------------------------
Finished at 2026-04-05T17:31:02Z
Build needed 00:00:21, no disk space