submission 754149

#!POPCORN leaderboard amd-mxfp4-mm
#!POPCORN gpu MI355X

"""
FP4 quant + FP4 GEMM single-file submission.
bf16 A, MXFP4 B -> MXFP4 per-1x32 quant A -> custom GEMM kernels -> bf16 C.

Kernel dispatch (6 separately-compiled kernels):
  - v25_2x16   : M=4,   N=2880, K=512
  - v25_8x64   : M=32,  N=2880, K=512
  - v25_8x64   : M=32,  N=4096, K=512
  - v31_32x64  : M=64,  N=7168, K=2048
  - v24_64x16  : M=256, N=3072, K=1536
  - v31_8x32   : M=16,  N=2112, K=7168
  - aiter fallback for all other shapes

Each kernel is gzip-compressed and base64-encoded, then extracted and
compiled separately via torch.utils.cpp_extension.load at first use.
"""
from task import input_t, output_t
import os
import gzip
import base64
import torch
import torch.utils.cpp_extension as cpp_ext

DIR = os.path.dirname(os.path.abspath(__file__))
BUILD_DIR = os.path.join(DIR, "build")

# --- Kernel: v25_2x16_t64_o4_ks512_4_2880_512 (from custom_kernels_B_register/v25_2x16_t64_o4_ks512_4_2880_512.cu) ---
_B64_V25_2X16_4_2880_512 = (
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# --- Kernel: v25_8x64_t256_o2_ks512_32_2880_512 (from custom_kernels_B_register/v25_8x64_t256_o2_ks512_32_2880_512.cu) ---
_B64_V25_8X64_32_2880_512 = (
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    "lMlKG0neWIREENCcgEouN290TVz88ri3iEYJPMXBeHDTn3Bn00EfwlNG/CX+o202bA/9oVd+5Gp2+umRmpOBVVcbYZrXhbpySPTq"
    "8K/U2hAR2NiBtjlFV2Q2LEOwI7GSjWXYZH4kQ7AjsZKNbuVEf3hk9CXP0fefEH3J3y36kqroSzaJvqQq+pK/JvqS5+j7HH0N0Zc+"
    "R99/QvSlf7foS6uiL90k+tKq6Ev/muhLn6Pvc/Q1RF/3Ofr+E6Kv+3eLvm5V9HU3ib5uVfR1/5ro6z5H339Q9H2oTgzjzW3F5Yup"
    "2NOaLpL0fqBw9ZDdEZiuVDIFnQqBeK9Qup6ovHQoxWnl7lctTbCS8Sy9Wyl8kCWnsbNhceqmdgLt63hpBa97nV99P+QW1krLBZYA"
    "+J4oquaVE1cZyDULnU0RunasN5ottRUfMU/lie99yKpSeKHJIJrPgqR/y7KKk+pSk+y+olAmsraOpHyRosvdsDwkuwDn9Qhz/t0i"
    "1bf3vIrArr6cT2EQZc68yILfCIPU/FuAOll1y8li0r8Ik272tTa2jdDVnEKRTvW1TSpDCjgLlm/vJ8E46l/wUpezcDyN7y/AgHpu"
    "S2piQcn+/j48Oa6dIwHTjbcodUSOIubgQNlxZEOoX5WVB0gMCQ4FDMN7/l0hYG4IU6UfWrN7fDrTby/rbH369fD0/C0h7Ozj2y8f"
    "ju2vtMnaS5xxtOmzKWV38yahDMIyflUZg/d1a5wN6vj1YNq3YSpbL4DPOvnkWe+Oz84sFGChAGtKLS7Asg9fRZNXeDUnPsEVBSO+"
    "ZbDmi9lsGifOi04mMhzaL+LF5EXdurq2Z/d7e9Peb2Eft4rglPJ3doFoHjmNML0b1NiPqjgN01gNn8EimVpis6jblwBV9tUtyWv8"
    "GiX7hRioJH7h2M5rLUAcQNBWQ0nFoyzrmc3hQXsWD2zQZANMTiHQrYgtbfFBDeDL4PxO5hTitdwGi4/KbPnc5fGOz+H/A1K/KyrB"
    "TwAA"
)

# --- Kernel: v25_8x64_t256_o2_ks512_32_4096_512 (from custom_kernels_B_register/v25_8x64_t256_o2_ks512_32_4096_512.cu) ---
_B64_V25_8X64_32_4096_512 = (
    "H4sIAP1a1GkC/+1cbVPbuBb+zq/wdKeMHdISyc7LEspOoNBlWmhvoXfvXobROIkDXuIk6zjdcLv893uOZMuSLSehfNjZWTItBOm8"
    "PpKPpKOT/BBOBuPFMLD2b8PZLvxn8WKShFHw+vZg64dSZ380nvoJaem9s/t+OBkSspu90bsH82QYTpKDrcF0Mk+C5Sy24E/rzHpj"
    "ubRbaD2HVq/xY6vY/h7am6REfvjh49F7hqI65i6U1/JK0tjF5fEnyyxTdLLDXy+PL4CCNkvGXBz1Phyzd58/fuEyDF58OWMKEYoh"
    "JSlnJ2c99h4FENopG3F6efwZGT0jX0F6ieiX3udPFxwYYu46r+JiF6f/PTaihl5xZsvEi72XP38+7r2tQA0J/nPEe0vuHp+cHB9d"
    "nv772DyWefe5EcrPx+84oyLGRHKukZwbgb08/SCMqBgw3m+24uLs+Iz12MknT2CIMNGG16mgE0OYom2YApzs0/FndvjlBCWRthFS"
    "6D3BmYIkRhGXHy97H7gxntsskfTYv770zi+zqWQ2RZCIGWlxUaVZdcje9i57DGC+4EYjsXGeHKaO65RcYnI/C4bByGLMT5I47C+S"
    "gDHbZuxrMEimMZuH/8MGz6pZ+HY6skGgAy8uOHTp0ttYSKcsxOJi+M9lhyXfYw+Pj1wYfyd+Lj0Uxtgw+BoOgAHkjabxIAgn43AC"
    "f28tQCMoFNQsmbLRzGMBjYiQZy0d69sW4o6ELgXKfpjMATMQxFn8OcMue+l0dbo5A0ogtDnDwYFFO461bTWWnUWBMtCoXEF1clIk"
    "i4CMU2F3+wRfRRJ/+NsCxnvIYMj5dGotrFdWULTsNhyB4dEU1htUDQsFkLYXjvWTZduajH3LJbxda90TrXtWo2jAMJhM44ihqXZj"
    "6TXwtbD+tOwIfSMwOPBL1S/4o6IZUs6eFQkSDhLQHHCvkCaATvH+Ff9dMGUwjWBJDIb8mUHh+xZ1pCmUFMcrBnOGfMyAXjJvW6Qo"
    "eJ6Eg7v79GGM+GgQ42jEwXwxTlJCKRFxMKpezDhhbsc2OJwqA7NTaWiQg+6TBR+Aohs4d1kSpbIEz47UkGKZ0SAw2ft9S0AvG/ag"
    "QdDHQbKIJ5adPiyOLeb2n5IWjHhY9ZR9nYZDkHITwhSK2e8LHzY68Pz28IGbR0FkczU8WFnqZqcGksAHCACDBMT2oIO06pxYrNTJ"
    "NPHHeUM8/YPNEz9O8qY7FoyDSG1NvSjI9vmTj8asppoP/HGg0KGOJBxuZXFCj7h8AWA/9z6c5BuGQtiv4dphpS8BAXLewJDNGMD2"
    "BsUrs0Ynu/XHo3SGIdm2mWo8BasZoANkUvBuaa9kYp3fZG0K68uNWG/G075UK4cGZqM0x8R1l5JxjeroASMYU9O2gDsCgBrfEuiy"
    "cABJC0dwHg9Iiz8N0BTEM5jObODPk/0C4YEtReBrW0y3K8WNWjblQHFq57XkcXILxNrx1R/Pr0jrOm/PY7m/ZH4flg6XgmGNnOKb"
    "ZkJuIHJxTzjDCk844YHNfVYs0rTP/DBugBgu7qpxXUE2niKRLajFmgRBzsFIqsKt8dyGyKOz8EVAp+fQNK75Ooq8uIxy0GxQ6hho"
    "iYkWlBVo0eTtN3J9lDE5e6F5q/r1cYG/bKWlzhtARR3lOKvQJRJdUo0uydAlm6NLUnTJWnSpGV1iQtc1o0tK6JI16JKno0sQXbIS"
    "XSrRpdXo0gxdujm6NEWXrkXXM6NLTeg2zejSErp0Dbr06ehSRJeuRNeV6LrV6LoZuu7m6Lopuu5adFtmdF0Tum0zum4JXXcNuu7T"
    "0XURXXclup5E16tG18vQ9TZH10vR9dai2zGj65nQ/dGMrldC11uDrvd0dD1E11uJblOi26xGt5mh29wc3WaKbnMtuqRiWWsal7WK"
    "da1Zwre5Bt/m0/FtIr7Nlfi2JL6tanxbGb6tzfFtpfi21uNbsbC1jPhWrGytEr6tNfi2no5vC/FtrcS3LfFtV+PbzvBtb45vO8W3"
    "vR7fiqWtbcS3Ym1rl/Btr8G3/XR824hvW8X3YcuAcpxM4BAKLNzy+e1ozJbTWBeo7nzW6FYEOoadvo/EIWdV+eAA0VhSkR9x0oxO"
    "p1EYEzwO9UN/LhM6PF9mS5EiXaTTB52oIfJJOR8Aiyf7BmZTwHyl65UFHjQKIn7H472ilTY9zCKB4OIJh5/kxZHYMA3sDARHl4iZ"
    "GLeAVYcPzeAuGMLylHelTTykllN02SmiphrCczwVtKREC7aoa1mqj6zQRx+hz91QH12hz3uEvuaG+twV+lqP0NfeUJ+3Ql/nEfp+"
    "3FBfc4U+8qgJs+mMaa3S+JgpQzadM+1VGh8zacjaWYNBAXmmoxHozJNJNf3CLs3PkFaeluloQkQSYzhPzEmMPHuxnWfjrlLF144h"
    "WbRRViQXK5BTBHFTRHQp50JEJ7muPMqrycArFZXSHSQig3JkBlUE0/U5UxixITtkQz/xceDi4Gau5krNScqUfjb2w0mepOyzPJGV"
    "t0ajyGd3PLGn5lUR9P59EszzxkMWw3MM//RUZ24DZvhmSQxuqgaA7za/rEkc1QI+d6QWgeu3FQPc2GR8tdHJzAH9DdBmp3e+u3gL"
    "sKP6zaesumtATxvXclo0cFZkjUQ2kryRykaaN7qyUT1Glz0jT/GMPN4zkntGpGck94xIz0juGZGekdwzssYz+hTP6OM9o7lnVHpG"
    "c8+o9IzmnlHpGc09o2s8c5/imft4z9zcM1d65uaeudIzN/fMlZ65uWeu9Oxh8/Ajwtwj4k8aF28Xo9E4GH5nDOJCVN75AA1QIxC2"
    "T+PwJr1jUMV3JcEEFgfolHSwa24qvVRcEKrdnpNfpHAaWNJUCdCpSOjDxpb5wyFGPtQFo8t/ph44xeDGb1UGbDAdY1BTnNcX3LsO"
    "6swIwSq30M+9shUC6uj3P5zKU6VsF4WMxn6CVtzhnTxt4sp9h3fqLQ/eods1C9/doT94Zpkod1VyQPjU5EeT4shf5djsCF3XXQMO"
    "GALLpTU7ZmxUXEgBFw0TYsJExYOY8SBPxYNsjgcx4oGBEzV8FyZ0FSZ0HSbUjAl9KiZ0c0yoERMMue73YuKuwsRdh4lrxsR9Kibu"
    "5pjoQTuNchi0x/5iMrhlfbzfnzNmK6VgdXBKhHHcZ90EUcTugngSjL/jtr0Q7vlrzZ5zAxbTMqEbZGA7YtNFIleAYAlr8ITncfw4"
    "GEJ/lk3gu/Lrrn6Zr5wrlAKuMpWysS/TfStmLmp8DeA3qsCBqR28plZqyPLBVwyAsIlzjLOqBIpuHlmF7J1ijVvXbAXJrSCbWEFy"
    "K0iFFSSzglRZ8SAXwz9ueMlCH45Dd6fD5etld0u/3ueVjO8ueDVBOHwbRhlJOLLsrPOlUrGIyStpVyre5r9zKgcX3Yx5V2neSUmV"
    "tq6hTOOXd2eiXk7b8mm1fp9O3/LaRHtv7wzEZtWvryzigPT0z3UCzoWAcyngXBdwvkrAL+9Awul5Wvnwhhtdy0VXsU4WEUMMWDhh"
    "Yof5pixOj26yzkMUYaQIlgQVQmIYzxM2g/5IqxWpoaEm+fxUiJVfUTixc4hfqZLqyFzIRAgVbzSFMM7ZnCiZ6UCjqtEgbqLMKQP/"
    "rsZvKlpJUrB4Hc5tHPhDZfLrpH/4cYqtKNnZzUt/jaU7/iSwlAqfl6vJuXTco+K4pZp2s7rjSgZY5FSGl6sY+GI7DCNhEjfvpaH8"
    "prCxz0h3y6RK4XWWSYZn5D3CrqzzahzpT8Fen6FA5g+S8CvnkYbtq8XITomxvxHjuVOMXD7iirMiCceBJfESyQy1ihomo27cTzlo"
    "ezLbrgoWwRbFixSbrqpWUW0lcvBH6aEI2L41XjdGdav488HsiSiqepM+TzU9huXE/RLxRBKfl4m1oi+Vdyefaipc59oxufACJPvr"
    "kdSyU13TgVE0mpJp2r5FP59q51KLn9XrqMfRpOln49KeZqXI9IgrLXWycsvqQsl0U2a9r6ujCONcX4WjYe9RL+406hheUgtgO3U/"
    "GYhANrdLJ1hTkZoo3cNsHsOtAla1FfIcevJUFMDH2m1PWbaYreaHopB7VpWXMypds8kio+OnecvHpXR4jaCG6ZVfzFTjq8fzgdwB"
    "UMPTNz2eSJNNxcRyj2ejZDdNOdy8yTVw8BDQEKRN5X1Led++1ssN9UvSHPH5YN2ozG9gpVimw7zxoSzbW2YHn8IcvCqGwp1Uz/U6"
    "k+G5ZKixNJ9kBx8Cmdrt5h1E6SBV3FQhoiq3q3S4VdzZ0MiGZrGhVWwwjVQW1XhklcmXVSMlPwQBy4Q/KAwqbxK4HGWy0kaSNxYh"
    "EQQ0J6CSy80bXRMXvyPuL8JxAk+xHw1vBhPubDroI3jKSGuJ/2iHjTqj1sgrP3I1O/2QSM3JwKqrjTDN60JdOSR6dfhXam2ICGzs"
    "QNucoisy6ZUh2JVYycYybDINkiHYlVjJRrdyoj88MvqS5+j7T4i+5O8WfUlV9CWbRF9SFX3JXxN9yXP0fY6+huhLn6PvPyH60r9b"
    "9KVV0ZduEn1pVfSlf030pc/R9zn6GqKv+xx9/wnR1/27RV+3Kvq6m0Rftyr6un9N9HWfo+8/KPo+VCeG8ea24vLFVNNpTRdJej9Q"
    "uHrI7ghMVyqZgm6FQLxXKF1PVF46lOK0cverViBYSTRL71YKn1fJaexsWJy6qZ1A+zpeWsHrXudX3w+5hbXScoElAC1P1E7zAomr"
    "DOSahc6mCF071hvNltqKT5Kn8sTXO2TFJ7yeZBjOZ34yuGVZYUl1RUl2X1GoBllbLlK+SNHl6lUg6pdaZX/nX2clSwqzL52SdX2L"
    "iPFKhTn/cpHqe31eX2BXX9unAIk6Z15+we+KQWr+NUDdrLzlZDEZXARJL/teG9tGUGtOoUqn+kInlSEFnPnLt/cTPwoHF7wI5iyI"
    "pvH9BRhQz21JTSwo2d/fh2fKtXMkYCLyFqWQyFHEHBwoe5FscPVLtPLQ8cHi3xECVgYwdwaBNbvHxzX91rLu1qdfD0/P3xLCzj6+"
    "/fLh2P5Km6yzxClImy02pexuDkPHIE7jmDJ4X7eibPij18PpwIa5bb0APuvkk2e9Oz47s1CAhQKsKbW4AMs+fBVOXuFdnfjkVuiP"
    "+R7Cmi9ms2mcOC+6mchgZL+IF5MXdevq2p7d7+1N+78FA9w7JsCb/53dKJoHTCNMLws19iOWqGHSXyRTS2wKdbVIlX0TS/IavxXJ"
    "fiFgT+IXju281gLBAQRnNWRUPLKyPNkcBrRn7sAGTTZ47xQC2ooY0hGfuwC+DKXvZE6RW8ttsBgBdorf0vHAp+P/AS1BGjSETwAA"
)

# --- Kernel: v31_32x64_t512_o2_ks1024 (from custom_kernels_larger_k/v31_32x64_t512_o2_ks1024.cu) ---
_B64_V31_32X64_64_7168_2048 = (
    "H4sIAP1a1GkC/+09/VPbSLK/81eo2Aol2V5AskMoDLwiCdnbIpBUyNbeHeWnkm0ZtLZsny0T8nL53193z4dmRiNZDuyrvL1Qu8GW"
    "unt6evprej74KZkOJqth7BzfJfM9+D9crKZZksa7d6dbPxVe9keTWZT5B/rb+ed+Mh36/p74oL8eLLNhMs3UR9HkdrZIsrv0dGsw"
    "my6z+GG+cADGefn23auL8NI5cdpB1/ruCt4ddMx3F+H1x/P3Drzz94OSt+HLf3w8vwYQDrznFJq4fnX29jz85cO7395bWbj67TJU"
    "YDRiynMT7fLN5Vl4gcwFh0Xefv14/kGjxMBNwN/PPry/JtEE9lcomY7tVXj96z/PrWLD/nz824fzs9fIwHPf2uG/v6K3Bc4/nP9C"
    "7Igx2xMs2gCvJOCVBLyyyglJ+gfmq7evr8Oz8MO735EVIYoGxygM4+X5JUC/ed9hXUe9UAg0NIUoQWbDySWnIZtKUELg/fmH8OVv"
    "bwDbZKdZbMMmd0B+wzSjaAoc9aod5JroCvk2nbbvgZSL+kviMhSYK2elAp+Fr/7229XFNXUKxCC1ldvUnmXEzsKP7z6eveWYxTEw"
    "aXa3ss/zeBiPnDCMsmyR9FdZHIauG4b38SCbLcJl8j/4oAPI+HE2cqEdD36ovaQdPHRqEzksITLNHg7D7Ft4IddIhOgT+/ehg8TC"
    "cBjfJwNAAHqj2WIQJ9NJMoXvW7xBB4CHYTpKo3C5GHRcEqWzgrfwsgFYi3gJbAwyINGPlnGLuJ2NRp7zZQtk6zAEeAgaAQhzkPYC"
    "WsnixXwRZ+EgWmbHOsypi4RAWZBKl4gIZu4B+8v8Zr/XcuY3Pv0b0L9t+Hdf/veVYQH91WLq3He3vm6tlsn01omW7XDF2plnCyDG"
    "v2SmOKPhEDq2DJfzaBC7bRBeo8tpEAaKD9BLsOOHTAwHDpfbAfzuFshpNcic/mo0ihcot9kKBO58ISYOkCDw1M1ZWkTT21j5DlIa"
    "Jbdd52v1uCFzThqNYxgwGDI+YvezZNjABlpGA2H/cxYvxWhBRDw6QgCABIhoGeJwWoZMBzx14RcfK7N/yAQO2zKLsmRgYGO3T13W"
    "jNdSOYJhfPD9ffjRR7NRpj3Yb9CdHWzPwyGHUYgBYfvVtqPICwWxNZncp2GUDm8H03ARfQo5z6Trk+HSzccYqbVMvQEQ/N0ivqp+"
    "UHhohcwq7kGhl3HGviz5l1o0VMRo9eAREijdMnW3sS+7rC+70Jdd1pdd7MsuMLrtVaoLisNRu+8fvAyzGZMCqRKTgN3iURBk9ZW9"
    "kAp3O5n1owmNbyi6JF8SrfyN0MhcGREA7dKmjoomCp488CAGTaZI6wa/kQ9/wyN1yrvn6prguYIpUF7/oGXtIXdKpJMVI8ElzNwz"
    "DsFo3gnjIPWZA3ceVImQxPpJtgRhACFCASvCV+4DN0QJBzJI0IhdQjg9dYJDz9kB+zpcGZCxBtVmUG/emGApgBEUvn7xBn9MkGj4"
    "xwpi7jCEsEv55cHK+dmJTc7ukhEwns5W5GVcyMAB9MXKc/7LQSes0DiG3IGea0+P2NMjZ99kYBhPZ4s0RFbd/YcOOpL9lfNvx02x"
    "bz5EQ/ilts/wU5MNSefISRkICQlgTqlXCBPDS/b5Z/ptsDKYpTD9iIec9LETeJKRwDdHawHMDPmIScwdxzepLsGbjj8DUErD4FuH"
    "AWx1NdEoYeetLa4oNMvGd6CPvAngldNBNjzssb8imZu8o7qGWcqCPGE0JXUuvBzClZ+PHSZr+eAIHmhe3+XW4blMmf8tYblZccNj"
    "/t351yqCySIkQmfhGGJAPHGVXESdLxr+7AxegBnLThU93hmaZTXAchBNuEek1Ja57YutQkYEqSrBYtJqprk6YDJ8QJObzAbjX4cP"
    "uw+Q3NGX10kKX5pOdreIoyG9MlGzWQZy+TRbjDGlpikGNcoTq5HjIvHTEwXQ41I3SS1mnzDnAfA9nUoOsrx1OMizMpAxeWeAAthG"
    "Waf1MWIZxA4bnRtkA7oB3WakeqZ3ih7CqI+ecZ+9+Wm+iG7TyFlNF7PJhB6B63VckiyBwa9jnJU4SbMphonAyPNi1qlmL/T01AWu"
    "bpIeNwHyHbJh+OTyb62Cf773FL8JJsspfDUcKOCjkQiiTUAJmBcT+Ifsq0yRwSeDOITLpemDS2SYM8/h4sN0n3n6HB7EgCa4j34O"
    "uFde/ewELHzlEvmX0NuQuoRdoxeuK/j33OB5Bz0+NOWRzxMMcAMRw8hNoAnq0EOehKEjYs4xxkKuNgzPRYsJPMKDrzjL22CoAbxk"
    "qPfLxzqAdmC8CbrBRdA18f01+MCwDzSK+ORYbmQ/m9AUkComA/f7FDwsL3ySc0eq09e1eZ/iJnnK91RuMiK+lmmcVkOREBQ4SnBD"
    "GOIQhLjgGe84zJIJz6EvWqpTzSCX19yqnOSzKf7v7z5crK+SaFrCPSVQ7rLPxwot/qh5ohaoVC3K3Ry4Z3CnzGUS0l5Jy0UHyn44"
    "2rNaaDz8seYUAWIOLBix4UlnzGQsK1DCrgruWUcfTKJ0Dm6CtZsmUzdnpAXRBtIhz8Srcu0qPYuLr3bzJfa/gbvf3OU/3u3nrv9R"
    "7n+TEPAEYeBpQgH+qD7gJjeaop1WhQhLmFBJaSVBI2JsqDWWyPEU0eMpIgiTpvC7TxhKchWtE1RoHv0yHEZZhEQX8a0WVuyRgMPP"
    "J1EyzSNBP1TciXxKxcjxLcwr5vnDC+KeVY7kQx445PeX4eKGL2v0bjo9IyOXnKH3ZOVBlS2Qo0vF1cxT+SL1km1X1UGappMVZf51"
    "icuY698YFZDzj990NSSB8boDOvQEsyRZQ6dUSZGcYQFGlZZ55bV1WiGopmxY0RgU9jjp3eyj8qH27veKL33x0re8DMTLwPKyLV62"
    "e91NdZN5HJbyhKPVhE8PWb2rz1/nhZ+Sarc1eembyQtPcEvyFRa8cUCY/tDinjlJMydzoqq1JA0tLLg0VIImBb7ocVIgtSf1Qerd"
    "4G41lbkQ+3LMCYjv5ZmQJLAM5/EiZEp3ovV1T1PBXBJstssa2CsQ6RabCJOpbIChPVuDNgVx8UDhKkOGYfI5WopkxJJ43DIDU+Kb"
    "pKaJHsgY3KHNeRaKOAoForksNqNaUszV1FpXXupRS3BRb/7AUlzFmkaLWWpOITYzHBmxLYajTgHGScuMA9KoTCVSqNLY5jNKHHNF"
    "bVTAHaftdw1y5dbJsnaeAUoPb8leyCMXFzo1t5yTnAY4BXA1NqEHHcz+FO6m/gGbE+dQ8F7p5/iQSi3EH+C3lTcBNpC/CgzS406O"
    "uaMijiZRJk3ZpqBjXMQMnh/gR1yIPOjAJ+S04eCnMcowwEeBXuTDdFXVjhtsqdet69jPWLQmS1Y9ehRWrWFgQ2FUnH4ukiFXuIrp"
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    "P9yhlk9BrO3XyWA+RUkW3qcDmFCKwY+WqXM/A0sBPXO3lyGCDHC5kaD2vW3n6OjI2QbOZ4vP294G5sQskbJfS4GoRv376co+lVlU"
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)

# --- Kernel: v24_64x16_t256_o1_ks512 (from custom_kernels_larger_k/v24_64x16_t256_o1_ks512.cu) ---
_B64_V24_64X16_256_3072_1536 = (
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)

# --- Kernel: v31_8x32_t128_o4_ks1024 (from custom_kernels_larger_k/v31_8x32_t128_o4_ks1024.cu) ---
_B64_V31_8X32_16_2112_7168 = (
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# ---------------------------------------------------------------------------
# Module cache: one per kernel
# ---------------------------------------------------------------------------
_mod_cache: dict = {}

_CUDA_FLAGS = ["-std=c++20", "--offload-arch=gfx950", "-O3"]


def _load_kernel(name: str, b64_blob: str) -> object:
    """Decompress, write, and compile a single kernel .cu file. Cached."""
    if name in _mod_cache:
        return _mod_cache[name]

    os.makedirs(BUILD_DIR, exist_ok=True)
    os.environ["PYTORCH_ROCM_ARCH"] = "gfx950"

    cu_source = gzip.decompress(base64.b64decode(b64_blob)).decode("utf-8")

    cu_path = os.path.join(BUILD_DIR, f"{name}.cu")
    need_write = True
    if os.path.exists(cu_path):
        with open(cu_path, "r") as f:
            if f.read() == cu_source:
                need_write = False
    if need_write:
        with open(cu_path, "w") as f:
            f.write(cu_source)

    mod = cpp_ext.load(
        name=name,
        sources=[cu_path],
        extra_cuda_cflags=_CUDA_FLAGS,
        build_directory=BUILD_DIR,
        verbose=False,
    )
    _mod_cache[name] = mod
    return mod


# ---------------------------------------------------------------------------
# Caches
# ---------------------------------------------------------------------------
_b_cache: dict = {}
_c_cache: dict = {}


def _prep_b_buffers(B_q, B_scale_sh):
    """Materialise static B buffers once and cache their raw int pointers."""
    key = (B_q.data_ptr(), B_scale_sh.data_ptr())
    if key in _b_cache:
        return _b_cache[key]
    B_data_u8 = B_q.view(torch.uint8).contiguous()
    B_scale_u8 = B_scale_sh.view(torch.uint8).contiguous()
    b_ptr = int(B_data_u8.data_ptr())
    bs_ptr = int(B_scale_u8.data_ptr())
    _b_cache[key] = (B_data_u8, B_scale_u8, b_ptr, bs_ptr)
    return _b_cache[key]


def _get_c_buf(m, n, device):
    """Return a pre-allocated output buffer for shape (m, n), reusing across calls."""
    key = (m, n)
    if key not in _c_cache:
        _c_cache[key] = torch.empty(m, n, dtype=torch.bfloat16, device=device)
    return _c_cache[key]


def _quant_mxfp4(x, shuffle=True):
    from aiter import dtypes
    from aiter.ops.triton.quant import dynamic_mxfp4_quant
    from aiter.utility.fp4_utils import e8m0_shuffle
    x_fp4, bs_e8m0 = dynamic_mxfp4_quant(x.contiguous())
    if shuffle:
        bs_e8m0 = e8m0_shuffle(bs_e8m0)
    return x_fp4.view(dtypes.fp4x2), bs_e8m0.view(dtypes.fp8_e8m0)


def custom_kernel(data: input_t) -> output_t:
    """
    Uses optimized custom kernels for specific shapes,
    otherwise falls back to aiter gemm_a4w4.
    """
    import aiter
    from aiter import dtypes

    A, B, B_q, B_shuffle, B_scale_sh = data
    A = A.contiguous()
    B = B.contiguous()
    m, k = A.shape
    n, _ = B.shape

    # v31_32x64: M=64, N=7168, K=2048
    if m == 64 and n == 7168 and k == 2048:
        B_data_u8, B_scale_u8, _, _ = _prep_b_buffers(B_q, B_scale_sh)
        C = _get_c_buf(m, n, A.device)
        mod = _load_kernel("v31_32x64_t512_o2_ks1024", _B64_V31_32X64_64_7168_2048)
        mod.run(A, B_data_u8, B_scale_u8, C, m, n, k)
        return C

    # v24_64x16: M=256, N=3072, K=1536
    if m == 256 and n == 3072 and k == 1536:
        B_data_u8, B_scale_u8, _, _ = _prep_b_buffers(B_q, B_scale_sh)
        C = _get_c_buf(m, n, A.device)
        mod = _load_kernel("v24_64x16_t256_o1_ks512", _B64_V24_64X16_256_3072_1536)
        mod.run(A, B_data_u8, B_scale_u8, C, m, n, k)
        return C

    # v31_8x32: M=16, N=2112, K=7168
    if m == 16 and n == 2112 and k == 7168:
        B_data_u8, B_scale_u8, _, _ = _prep_b_buffers(B_q, B_scale_sh)
        C = _get_c_buf(m, n, A.device)
        mod = _load_kernel("v31_8x32_t128_o4_ks1024", _B64_V31_8X32_16_2112_7168)
        mod.run(A, B_data_u8, B_scale_u8, C, m, n, k)
        return C

    # v25_2x16: M=4, N=2880, K=512
    if m == 4 and n == 2880 and k == 512:
        B_data_u8, B_scale_u8, _, _ = _prep_b_buffers(B_q, B_scale_sh)
        C = _get_c_buf(m, n, A.device)
        mod = _load_kernel("v25_2x16_t64_o4_ks512_4_2880_512", _B64_V25_2X16_4_2880_512)
        mod.run(A, B_data_u8, B_scale_u8, C, m, n, k)
        return C

    # v25_8x64: M=32, N=2880, K=512
    if m == 32 and n == 2880 and k == 512:
        B_data_u8, B_scale_u8, _, _ = _prep_b_buffers(B_q, B_scale_sh)
        C = _get_c_buf(m, n, A.device)
        mod = _load_kernel("v25_8x64_t256_o2_ks512_32_2880_512", _B64_V25_8X64_32_2880_512)
        mod.run(A, B_data_u8, B_scale_u8, C, m, n, k)
        return C

    # v25_8x64: M=32, N=4096, K=512
    if m == 32 and n == 4096 and k == 512:
        B_data_u8, B_scale_u8, _, _ = _prep_b_buffers(B_q, B_scale_sh)
        C = _get_c_buf(m, n, A.device)
        mod = _load_kernel("v25_8x64_t256_o2_ks512_32_4096_512", _B64_V25_8X64_32_4096_512)
        mod.run(A, B_data_u8, B_scale_u8, C)
        return C

    # Fallback to aiter reference
    A_q, A_scale_sh = _quant_mxfp4(A, shuffle=True)
    out_gemm = aiter.gemm_a4w4(
        A_q,
        B_shuffle,
        A_scale_sh,
        B_scale_sh,
        dtype=dtypes.bf16,
        bpreshuffle=True,
    )
    return out_gemm