{"id":479,"date":"2026-03-17T13:09:04","date_gmt":"2026-03-17T05:09:04","guid":{"rendered":"http:\/\/www.triode.cc\/?p=479"},"modified":"2026-03-17T13:09:04","modified_gmt":"2026-03-17T05:09:04","slug":"suctf2026","status":"publish","type":"post","link":"https:\/\/www.triode.cc\/index.php\/2026\/03\/17\/suctf2026\/","title":{"rendered":"SUCTF 2026 Crypto\u65b9\u5411\u90e8\u5206\u8d5b\u9898Write UP"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u524d\u8a00<\/h2>\n\n\n\n<p>\u8fd9\u6b21\u7ed9SUCTF\u51fa\u4e86SU_Lattice, SU_Isogeny\u4ee5\u53caSU_Restaurant\u4e09\u9053\u9898\uff0c\u5c31\u5199\u4e00\u4e0b\u8fd9\u4e09\u9053\u7b97\u4e86=\u03c9=\uff08\u61d2\uff09<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">SU_Lattice<\/h2>\n\n\n\n<p>\u9996\u5148\u5bf9\u7ed9\u51fa\u7684elf\u8fdb\u884c\u9006\u5411\u53ef\u4ee5\u5f97\u5230\u4e3b\u51fd\u6570\uff08<code>sub_401E71<\/code>\uff09\uff1a<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>void __noreturn sub_401E71()\n{\n  int v0; \/\/ edx\n  int v1; \/\/ ecx\n  int v2; \/\/ r8d\n  int v3; \/\/ r9d\n  int v4; \/\/ edx\n  int v5; \/\/ ecx\n  int v6; \/\/ r8d\n  int v7; \/\/ r9d\n  int v8; \/\/ edx\n  int v9; \/\/ ecx\n  int v10; \/\/ r8d\n  int v11; \/\/ r9d\n  int v12; \/\/ edx\n  int v13; \/\/ ecx\n  int v14; \/\/ r8d\n  int v15; \/\/ r9d\n  int v16; \/\/ esi\n  int v17; \/\/ edx\n  int v18; \/\/ ecx\n  int v19; \/\/ r8d\n  int v20; \/\/ r9d\n  int v21; \/\/ &#91;rsp+0h&#93; &#91;rbp-70h&#93; BYREF\n  int i; \/\/ &#91;rsp+4h&#93; &#91;rbp-6Ch&#93;\n  __int64 v23; \/\/ &#91;rsp+8h&#93; &#91;rbp-68h&#93; BYREF\n  __int64 v24; \/\/ &#91;rsp+10h&#93; &#91;rbp-60h&#93;\n  __int64 v25; \/\/ &#91;rsp+18h&#93; &#91;rbp-58h&#93;\n  char v26&#91;72&#93;; \/\/ &#91;rsp+20h&#93; &#91;rbp-50h&#93; BYREF\n  unsigned __int64 v27; \/\/ &#91;rsp+68h&#93; &#91;rbp-8h&#93;\n\n  v27 = __readfsqword(0x28u);\n  sub_401CB8();\n  sub_401D1D();\n  v24 = 0LL;\n  for ( i = 0; i &lt;= 23; ++i )\n    v24 = (qword_4E82E0&#91;i&#93; + v24) % qword_4E83A0;\n  while ( 1 )\n  {\n    sub_401E16();\n    sub_40C050((unsigned int)\"%d\", (unsigned int)&amp;v21, v0, v1, v2, v3, v21);\n    if ( v21 == 3 )\n    {\n      sub_41AD00(\"Goodbye!\");\n      sub_40B390(0LL);\n    }\n    if ( v21 > 3 )\n    {\nLABEL_16:\n      sub_41AD00(\"NO!!!\");\n    }\n    else if ( v21 == 1 )\n    {\n      sub_40BEC0((unsigned int)\"Please enter your answer: \", (unsigned int)&amp;v21, v4, v5, v6, v7, 1);\n      sub_40C050((unsigned int)\"%lld\", (unsigned int)&amp;v23, v8, v9, v10, v11, v21);\n      if ( v24 != v23 )\n      {\n        sub_41AD00(\"Wrong answer!\");\n        sub_40B390(1LL);\n      }\n      v25 = sub_41A910(\".\/flag\", \"r\");\n      if ( !v25 )\n      {\n        sub_41AD00(\"Failed to open file...\");\n        sub_40B390(1LL);\n      }\n      sub_41A660(v26, 64LL, v25);\n      sub_40BEC0((unsigned int)\"Congratulations! Here is your flag: %s\\n\", (unsigned int)v26, v12, v13, v14, v15, v21);\n      sub_41A370(v25);\n    }\n    else\n    {\n      if ( v21 != 2 )\n        goto LABEL_16;\n      v16 = sub_401BAE(40LL);\n      sub_40BEC0((unsigned int)\"Here is your hint: %lld\\n\", v16, v17, v18, v19, v20, v21);\n    }\n  }\n}<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #81A1C1\">void<\/span><span style=\"color: #D8DEE9FF\"> __noreturn <\/span><span style=\"color: #88C0D0\">sub_401E71<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ edx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v1<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ ecx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v2<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r8d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v3<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r9d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v4<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ edx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v5<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ ecx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v6<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r8d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v7<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r9d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v8<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ edx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v9<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ ecx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v10<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r8d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v11<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r9d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v12<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ edx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v13<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ ecx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v14<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r8d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v15<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r9d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v16<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ esi<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v17<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ edx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v18<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ ecx<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v19<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r8d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v20<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r9d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v21<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+0h&#93; &#91;rbp-70h&#93; BYREF<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> i<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+4h&#93; &#91;rbp-6Ch&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  __int64 v23<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+8h&#93; &#91;rbp-68h&#93; BYREF<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  __int64 v24<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+10h&#93; &#91;rbp-60h&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  __int64 v25<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+18h&#93; &#91;rbp-58h&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">char<\/span><span style=\"color: #D8DEE9FF\"> v26<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">72<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+20h&#93; &#91;rbp-50h&#93; BYREF<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> __int64 v27<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+68h&#93; &#91;rbp-8h&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  v27 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__readfsqword<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">0x<\/span><span style=\"color: #B48EAD\">28<\/span><span style=\"color: #81A1C1\">u<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #88C0D0\">sub_401CB8<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #88C0D0\">sub_401D1D<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  v24 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">LL;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">23<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    v24 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">qword_4E82E0<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> v24<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> qword_4E83A0<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">sub_401E16<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">sub_40C050<\/span><span style=\"color: #ECEFF4\">((<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%d<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">v21<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v1<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v2<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v3<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v21<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> v21 <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">3<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Goodbye!<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #88C0D0\">sub_40B390<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">LL<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> v21 <\/span><span style=\"color: #81A1C1\">&gt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">3<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">LABEL_16:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">NO!!!<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">else<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> v21 <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #88C0D0\">sub_40BEC0<\/span><span style=\"color: #ECEFF4\">((<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Please enter your answer: <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">v21<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v4<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v5<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v6<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v7<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #88C0D0\">sub_40C050<\/span><span style=\"color: #ECEFF4\">((<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">v23<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v9<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v10<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v11<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v21<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> v24 <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> v23 <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Wrong answer!<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">sub_40B390<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #81A1C1\">LL<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      v25 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sub_41A910<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">.\/flag<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">r<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">!<\/span><span style=\"color: #D8DEE9FF\">v25 <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Failed to open file...<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">sub_40B390<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #81A1C1\">LL<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #88C0D0\">sub_41A660<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">v26<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">64<\/span><span style=\"color: #81A1C1\">LL<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v25<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #88C0D0\">sub_40BEC0<\/span><span style=\"color: #ECEFF4\">((<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Congratulations! Here is your flag: %s<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\">v26<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v12<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v13<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v14<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v15<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v21<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #88C0D0\">sub_41A370<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">v25<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">else<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> v21 <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">goto<\/span><span style=\"color: #D8DEE9FF\"> LABEL_16<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      v16 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sub_401BAE<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">40<\/span><span style=\"color: #81A1C1\">LL<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      <\/span><span style=\"color: #88C0D0\">sub_40BEC0<\/span><span style=\"color: #ECEFF4\">((<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Here is your hint: %lld<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v16<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v17<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v18<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v19<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v20<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v21<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p>\u6570\u636e\u521d\u59cb\u5316\uff08<code>sub_401D1D<\/code>\uff09\uff1a<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>__int64 sub_401D1D()\n{\n  int v0; \/\/ r8d\n  int v1; \/\/ r9d\n  __int64 result; \/\/ rax\n  int v3; \/\/ r8d\n  int v4; \/\/ r9d\n  int i; \/\/ &#91;rsp+0h&#93; &#91;rbp-10h&#93;\n  int j; \/\/ &#91;rsp+4h&#93; &#91;rbp-Ch&#93;\n  __int64 v7; \/\/ &#91;rsp+8h&#93; &#91;rbp-8h&#93;\n\n  v7 = sub_41A910(\".\/data\", \"r\");\n  if ( !v7 )\n  {\n    sub_41AD00(\"Failed to open file...\");\n    sub_40B390(1LL);\n  }\n  result = sub_40C120(v7, (unsigned int)\"%lld\", (unsigned int)&amp;qword_4E83A0, (unsigned int)\"%lld\", v0, v1);\n  for ( i = 0; i &lt;= 23; ++i )\n    result = sub_40C120(v7, (unsigned int)\"%lld\", (unsigned int)&amp;qword_4E8220&#91;i&#93;, (unsigned int)\"%lld\", v3, v4);\n  for ( j = 0; j &lt;= 23; ++j )\n    result = sub_40C120(v7, (unsigned int)\"%lld\", (unsigned int)&amp;qword_4E82E0&#91;j&#93;, (unsigned int)\"%lld\", v3, v4);\n  return result;\n}<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #D8DEE9FF\">__int64 <\/span><span style=\"color: #88C0D0\">sub_401D1D<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r8d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v1<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r9d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  __int64 result<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ rax<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v3<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r8d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> v4<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ r9d<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> i<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+0h&#93; &#91;rbp-10h&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> j<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+4h&#93; &#91;rbp-Ch&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  __int64 v7<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+8h&#93; &#91;rbp-8h&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  v7 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sub_41A910<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">.\/data<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">r<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">!<\/span><span style=\"color: #D8DEE9FF\">v7 <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Failed to open file...<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">sub_40B390<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #81A1C1\">LL<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  result <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sub_40C120<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">v7<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">qword_4E83A0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">23<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    result <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sub_40C120<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">v7<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">qword_4E8220<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v3<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v4<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">23<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #D8DEE9FF\">j <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    result <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sub_40C120<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">v7<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">qword_4E82E0<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v3<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> v4<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> result<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p>\u83dc\u5355\uff08<code>sub_401E16<\/code>\uff09\uff1a<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>__int64 sub_401E16()\n{\n  sub_41AD00(\"===Flag Management System===\");\n  sub_41AD00(\"&#91;1&#93; Get Flag\");\n  sub_41AD00(\"&#91;2&#93; Get Hint\");\n  sub_41AD00(\"&#91;3&#93; Exit\");\n  return sub_40BEC0((__int64)\">>> \");\n}<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #D8DEE9FF\">__int64 <\/span><span style=\"color: #88C0D0\">sub_401E16<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">===Flag Management System===<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&#91;1&#93; Get Flag<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&#91;2&#93; Get Hint<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&#91;3&#93; Exit<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sub_40BEC0<\/span><span style=\"color: #ECEFF4\">((<\/span><span style=\"color: #D8DEE9FF\">__int64<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p>\u8ba1\u7b97hint\u7684\u51fd\u6570\uff08<code>sub_401BAE<\/code>\uff09\uff1a<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>__int64 __fastcall sub_401BAE(__int64 a1)\n{\n  int i; \/\/ &#91;rsp+10h&#93; &#91;rbp-10h&#93;\n  int j; \/\/ &#91;rsp+14h&#93; &#91;rbp-Ch&#93;\n  __int64 v4; \/\/ &#91;rsp+18h&#93; &#91;rbp-8h&#93;\n\n  if ( a1 > 60 )\n  {\n    sub_41AD00(\"Something went wrong...\");\n    sub_40B390(1LL);\n  }\n  v4 = 0LL;\n  for ( i = 0; i &lt;= 23; ++i )\n    v4 = (v4 + sub_401B45(qword_4E82E0&#91;i&#93;, qword_4E8220&#91;i&#93;)) % qword_4E83A0;\n  for ( j = 0; j &lt;= 22; ++j )\n    qword_4E82E0&#91;j&#93; = qword_4E82E0&#91;j + 1&#93;;\n  qword_4E8398 = v4;\n  return v4 >> (60 - (unsigned __int8)a1);\n}<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #D8DEE9FF\">__int64 __fastcall <\/span><span style=\"color: #88C0D0\">sub_401BAE<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">__int64 <\/span><span style=\"color: #D8DEE9\">a1<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> i<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+10h&#93; &#91;rbp-10h&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> j<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+14h&#93; &#91;rbp-Ch&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  __int64 v4<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+18h&#93; &#91;rbp-8h&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> a1 <\/span><span style=\"color: #81A1C1\">&gt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">60<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">sub_41AD00<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Something went wrong...<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">sub_40B390<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #81A1C1\">LL<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  v4 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">LL;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">23<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    v4 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">v4 <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sub_401B45<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">qword_4E82E0<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> qword_4E8220<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;))<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> qword_4E83A0<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">22<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #D8DEE9FF\">j <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    qword_4E82E0<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> qword_4E82E0<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">j <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  qword_4E8398 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> v4<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> v4 <\/span><span style=\"color: #81A1C1\">&gt;&gt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">60<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">unsigned<\/span><span style=\"color: #D8DEE9FF\"> __int8<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\">a1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p>\u4ee5\u53ca\u9f9f\u901f\u4e58\uff08<code>sub_401B45<\/code>\uff09\uff1a<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>__int64 __fastcall sub_401B45(__int64 a1, __int64 a2)\n{\n  __int64 v5; \/\/ &#91;rsp+18h&#93; &#91;rbp-8h&#93;\n\n  v5 = 0LL;\n  while ( a2 )\n  {\n    if ( (a2 &amp; 1) != 0 )\n      v5 = (v5 + a1) % qword_4E83A0;\n    a1 = 2 * a1 % qword_4E83A0;\n    a2 >>= 1;\n  }\n  return v5;\n}<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #D8DEE9FF\">__int64 __fastcall <\/span><span style=\"color: #88C0D0\">sub_401B45<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">__int64 <\/span><span style=\"color: #D8DEE9\">a1<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> __int64 <\/span><span style=\"color: #D8DEE9\">a2<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  __int64 v5<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #616E88\"> \/\/ &#91;rsp+18h&#93; &#91;rbp-8h&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  v5 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">LL;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> a2 <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">a2 <\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">      v5 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">v5 <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> a1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> qword_4E83A0<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    a1 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> a1 <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> qword_4E83A0<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    a2 <\/span><span style=\"color: #81A1C1\">&gt;&gt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">  <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> v5<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p>\u5bf9\u4e0a\u8ff0\u7ec4\u4ef6\u8fdb\u884c\u5206\u6790\u53ef\u4ee5\u77e5\u9053\u5176\u5b9e\u8fd9\u9898\u5b9e\u9645\u4e0a\u662f\u4e00\u4e2a\u4e00\u4e2a\u6a21\u6570\\(m\\)\u4ee5\u53ca\u53c2\u6570\\(c_0,c_1,\\cdots,c_{23}\\)\u5747\u672a\u77e5\u7684\u622a\u65ad\\(\\mathbb{Z}\/(m)-\\text{LFSR}\\)\uff0c\u83b7\u53d6\u7684hint\u5176\u5b9e\u662f\u8fd9\u4e2a\u622a\u65ad\\(\\mathbb{Z}\/(m)-\\text{LFSR}\\)\u8f93\u51fa\u7684\u9ad840\u4f4d\uff0c\u53c2\u8003<a href=\"https:\/\/eprint.iacr.org\/2025\/2323.pdf\"><em>An Improved Method for Predicting Truncated Fibonacci LFSRs over Integer Residue Rings<\/em><\/a>\u53ef\u4ee5\u77e5\u9053\uff0c\u8fd9\u91cc\u5176\u5b9e\u662f\u5bf9\u5e94\u4e86\\(n=24,\\alpha=40,\\beta=20\\)\u7684\u53c2\u6570\u5168\u672a\u77e5\u7684\u622a\u65ad\\(\\mathbb{Z}\/(m)-\\text{LFSR}\\)\uff0c\u901a\u8fc7\u6587\u4e2d\u63d0\u5230\u7684\uff1a<\/p>\n\n\n\n<p>$$<br>\\frac{1}{r}+\\frac{1}{t}\\le\\frac{\\alpha}{n\\log{m}}<br>$$<\/p>\n\n\n\n<p>\u6211\u4eec\u4ee4\\(r=t\\)\uff0c\u5219\u6709\uff1a<\/p>\n\n\n\n<p>$$<br>\\frac{1}{r}+\\frac{1}{t}=\\frac{2}{r}\\le\\frac{\\alpha}{n\\log{m}}\\approx\\frac{40}{24\\times 60}=\\frac{1}{36}<br>$$<\/p>\n\n\n\n<p>\u53ef\u4ee5\u6c42\u5f97\\(r=t>72\\)\uff0c\u5728\\(72\\)\u7684\u57fa\u7840\u4e0a\u52a0\u4e0a\\(15%\\)\u7684\u5197\u4f59\u91cf\u53ef\u4ee5\u77e5\u9053\u6211\u4eec\u5e94\u8be5\u53d6\\(r=t=\\lceil 72\\times1.15\\rceil=83\\)\uff0c\u6240\u4ee5\u4fdd\u5b88\u8d77\u89c1\uff0c\u6211\u4eec\u9700\u8981\u81f3\u5c11\u53d6\\(N=r+t+1=167\\)\u4e2a\u8f93\u51fa\u8fdb\u884c\u6c42\u89e3\uff0c\u8bbe\u8fd9167\u4e2a\u8f93\u51fa\u5206\u522b\u4e3a\\(a_0,a_1,\\cdots,a_{166}\\)\uff0c\u9996\u5148\u6784\u9020\u683c\uff1a<\/p>\n\n\n\n<p>$$<br>\\left(\\begin{matrix}<br>2^{\\alpha}&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;\\\\<br>&amp;2^{\\alpha}&amp;&amp;&amp;&amp;&amp;&amp;&amp;\\\\<br>&amp;&amp;\\ddots&amp;&amp;&amp;&amp;&amp;&amp;\\\\<br>&amp;&amp;&amp;2^{\\alpha}&amp;&amp;&amp;&amp;&amp;\\\\<br>a_0&amp;a_1&amp;\\cdots&amp;a_{t-1}&amp;1&amp;&amp;&amp;\\\\<br>a_1&amp;a_2&amp;\\cdots&amp;a_{t}&amp;&amp;1&amp;&amp;\\\\<br>\\vdots&amp;\\vdots&amp;&amp;\\vdots&amp;&amp;&amp;\\ddots&amp;\\\\<br>a_{r-1}&amp;a_{r}&amp;\\cdots&amp;a_{166}&amp;&amp;&amp;&amp;1\\\\<br>\\end{matrix}\\right)<br>$$<\/p>\n\n\n\n<p>\u8fdb\u884c\u89c4\u7ea6\u53ef\u4ee5\u5f97\u5230\u82e5\u5e72\u6761\u77ed\u5411\u91cf\uff0c\u53d6\u524d\u4e09\u6761\u975e\u96f6\u77ed\u5411\u91cf\u7684\u540e\\(r\\)\u4e2a\u5206\u91cf\u4f5c\u4e3a\u53c2\u6570\u6765\u7ec4\u6210\\(\\mathbb{Z}_m\\)\u4e0a\u7684\u591a\u9879\u5f0f\\(F_1(x),F_2(x),F_3(x)\\)\uff0c\u5bf9\u8fd9\u4e09\u4e2a\u591a\u9879\u5f0f\u4e24\u4e24\u7ec4\u5408\u53d6\u7ed3\u5f0f\u4e4b\u540e\u6c42\u6700\u5927\u516c\u7ea6\u6570\u5373\u53ef\u5f97\u5230\u4e00\u4e2a\u53ef\u4ee5\u88ab\u6a21\u6570\\(m\\)\u6574\u9664\u7684\u6570\uff0c\u5206\u89e3\u5e76\u63d0\u53d6\u5373\u53ef\u5f97\u5230\u6a21\u6570\\(m\\)\uff0c\u5728\u83b7\u5f97\u6a21\u6570\\(m\\)\u4e4b\u540e\u95ee\u9898\u5c31\u53d8\u6210\u4e86\u5df2\u77e5\\(m\\)\u4f46\u662f\u53c2\u6570\u672a\u77e5\u7684\u622a\u65ad\\(\\mathbb{Z}\/(m)-\\text{LFSR}\\)\u4e86\uff0c\u4ee4\\(K=2^{\\beta}\\)\uff0c\u6b64\u65f6\u6211\u4eec\u6784\u9020\u683c\uff1a <\/p>\n\n\n\n<p>$$ <br>\\left(\\begin{matrix} <br>m&amp;&amp;&amp;&amp;&amp;&amp;&amp;&amp;\\\\<br>&amp;m&amp;&amp;&amp;&amp;&amp;&amp;&amp;\\\\<br>&amp;&amp;\\ddots&amp;&amp;&amp;&amp;&amp;&amp;\\\\<br>&amp;&amp;&amp;m&amp;&amp;&amp;&amp;&amp;\\\\<br>Ka_0&amp;Ka_1&amp;\\cdots&amp;Ka_{t-1}&amp;K&amp;&amp;&amp;\\\\<br>Ka_1&amp;Ka_2&amp;\\cdots&amp;Ka_{t}&amp;&amp;K&amp;&amp;\\\\<br>\\vdots&amp;\\vdots&amp;&amp;\\vdots&amp;&amp;&amp;\\ddots&amp;\\\\<br>Ka_{r-1}&amp;Ka_{r}&amp;\\cdots&amp;Ka_{166}&amp;&amp;&amp;&amp;K\\\\<br>\\end{matrix}\\right)<br>$$<\/p>\n\n\n\n<p>\u53d6\u524d\u82e5\u5e72\u6761\u77ed\u5411\u91cf\u7684\u540e\\(r\\)\u4e2a\u5206\u91cf\u4f5c\u4e3a\u53c2\u6570\u6765\u7ec4\u6210\\(\\mathbb{Z}_m\\)\u4e0a\u7684\u591a\u9879\u5f0f\uff0c\u5bf9\u8fd9\u4e9b\u591a\u9879\u5f0f\u6c42\u6700\u5927\u516c\u7ea6\u5f0f\u5c31\u53ef\u4ee5\u5f97\u5230\u4e00\u4e2a\u5982\u4e0b\u5f62\u5f0f\u7684\u5ea6\u4e3a24\u7684\u4e0d\u53ef\u7ea6\u591a\u9879\u5f0f\uff1a <\/p>\n\n\n\n<p>$$ <br>f(x)=x^{24}-(c_0+c_1x+c_2x^2+\\cdots+c_{23}x^{23})<br>$$<br>\u6700\u540e\u7ed3\u5408\u9012\u63a8\u516c\u5f0f\\(x_{s+24}\\equiv c_0x_{s}+c_1x_{s+1}+\\cdots+c_{23}x_{s+23}\\pmod{m}\\)\uff0c\u4ee5\u83b7\u5f97\u7684LFSR\u8f93\u51fa\u4e2d\u672a\u77e5\u7684\u4f4e\u4f4d\u4f5c\u4e3a\u672a\u77e5\u91cf\u8fdb\u884c\u591a\u5143coppersmith\u5c31\u53ef\u4ee5\u6062\u590dLFSR\u7684\u72b6\u6001\uff0c\u4ece\u800c\u5012\u63a8\u51fa\u79cd\u5b50\u3001\u83b7\u5f97flag\u4e86\uff1a<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>from pwn import *\nfrom sage.all import *\nfrom tqdm import *\nfrom cuso import find_small_roots\nfrom Crypto.Util.number import *\n\nio = remote(\"1.95.152.117\", 10001)\n\nn = 24\nalpha = 40\nbeta = 20\nK = 2**beta     \n\nr = 83\nt = 83\nN = r + t - 1\n\nhints = []\n\nfor _ in trange(N):\n    io.sendlineafter(b\">>> \", b\"2\")\n    io.recvuntil(b\"Here is your hint: \")\n    hint = int(io.recvline().strip())\n    hints.append(hint)\n\ny = []\n\nfor i in range(r):\n    y.append(hints&#91;i: i+r&#93;)\n\nY = matrix(ZZ, y)\n\nM = block_matrix([&#91;2**alpha, 0&#93;, &#91;Y, 1&#93;])\nres = M.BKZ(block_size=20)\n\nR = ZZ&#91;'x'&#93;\npolys = []\n\nfor i in range(50):\n    vec = res&#91;i&#93;\n    coeffs = list(vec&#91;t:&#93;)\n    if all(c == 0 for c in coeffs):\n        continue\n    F = R(coeffs)\n    if F.degree() > 0:\n        polys.append(F)\n\nF1, F2, F3 = polys&#91;:3&#93;\nF12 = F1.resultant(F2)\nF13 = F1.resultant(F3)\nF23 = F2.resultant(F3)\n\n# print(F12)\n# print(F13)\n# print(F23)\n\ntmp = gcd(gcd(F12, F13), F23)\nm = list(factor(tmp))&#91;-1&#93;&#91;0&#93;\n\nL = block_matrix([&#91;m, 0&#93;, &#91;K*Y, K&#93;])\n\nres = L.BKZ(block_size=20)\nR = GF(m)&#91;'x'&#93;\ncandidates = []\n\nfor v in res:\n    if v.norm() == 0: \n        continue\n\n    coeffs = []\n    is_valid = True\n    for k in range(r):\n        coeffs.append(v&#91;t + k&#93; \/\/ K)\n\n    if is_valid:\n        try:\n            poly = R(coeffs)\n            d = poly.degree()\n            if d >= n:\n                candidates.append(poly)\n        except:\n            pass\n\n    if len(candidates) >= 10: \n        break\n\nF = candidates&#91;0&#93;\nfor p in candidates&#91;1:&#93;:\n    tmp = gcd(F, p)\n    if tmp.degree() >= n:\n        F = tmp\n\nF = F.monic()\nprint(F)\n\n# assert F.is_primitive() and F.degree() == n\n\nC = [int(c) for c in (-F).coefficients(sparse=False)&#91;:-1&#93;]\n\nl = &#91;var(f'l{i}') for i in range(2*n)&#93;\n\nxs = [2**beta * hints&#91;i&#93; + l&#91;i&#93; for i in range(2*n)]\nrelations = []\n\nfor i in range(n):\n    f = 0\n    for j in range(n):\n        f += C&#91;j&#93; * xs&#91;i + j&#93;\n    f -= xs&#91;i + n&#93;\n    relations.append(f)\n\nbounds = {l&#91;i&#93;: (0, 2**beta) for i in range(2*n)}\n\nsols = find_small_roots(relations, bounds=bounds, modulus=m)\n\nstate = [2**beta * hints&#91;i&#93; + sols&#91;0&#93;[l&#91;i&#93;] for i in range(n)]\n\nfor i in range(n):\n    tmp = state&#91;-1&#93;\n    for j in range(n-1):\n        tmp = (tmp - C&#91;j+1&#93; * state&#91;j&#93;) % m\n\n    tmp = tmp * inverse(C&#91;0&#93;, m) % m\n    state = &#91;tmp&#93; + state&#91;:-1&#93;\n\nans = sum(state)\n\nio.sendlineafter(b'>>> ', b'1')\nio.sendlineafter(b'Please enter your answer: ', str(ans % m).encode())\n\nio.interactive()<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> pwn <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> sage<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">all <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> tqdm <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> cuso <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> find_small_roots<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> Crypto<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Util<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">number <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">remote<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">1.95.152.117<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">10001<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">n <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">24<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">alpha <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">40<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">beta <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">20<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">K <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">**<\/span><span style=\"color: #D8DEE9FF\">beta     <\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">r <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">83<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">t <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">83<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">N <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> r <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> t <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">hints <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">trange<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">2<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Here is your hint: <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    hint <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvline<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">strip<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    hints<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">append<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">hint<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">y <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">r<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    y<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">append<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">hints<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> i<\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\">r<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">Y <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">matrix<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">ZZ<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> y<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">M <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">block_matrix<\/span><span style=\"color: #ECEFF4\">([&#91;<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">**<\/span><span style=\"color: #D8DEE9FF\">alpha<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">Y<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;])<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">res <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> M<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">BKZ<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">block_size<\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #B48EAD\">20<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">R <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> ZZ<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">x<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">polys <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">50<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    vec <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    coeffs <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">list<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">vec<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">t<\/span><span style=\"color: #ECEFF4\">:&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">all<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">c <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> c <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> coeffs<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">continue<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    F <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">R<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">coeffs<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> F<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">degree<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&gt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        polys<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">append<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">F<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">F1<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> F2<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> F3 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> polys<\/span><span style=\"color: #ECEFF4\">&#91;:<\/span><span style=\"color: #B48EAD\">3<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">F12 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> F1<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">resultant<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">F2<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">F13 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> F1<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">resultant<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">F3<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">F23 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> F2<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">resultant<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">F3<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #616E88\"># print(F12)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #616E88\"># print(F13)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #616E88\"># print(F23)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">tmp <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">gcd<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">gcd<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">F12<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> F13<\/span><span style=\"color: #ECEFF4\">),<\/span><span style=\"color: #D8DEE9FF\"> F23<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">m <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">list<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">factor<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">tmp<\/span><span style=\"color: #ECEFF4\">))&#91;<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">L <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">block_matrix<\/span><span style=\"color: #ECEFF4\">([&#91;<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">K<\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\">Y<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> K<\/span><span style=\"color: #ECEFF4\">&#93;])<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">res <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> L<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">BKZ<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">block_size<\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #B48EAD\">20<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">R <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">GF<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)&#91;<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">x<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">candidates <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> v <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> v<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">norm<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> <\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">continue<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    coeffs <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    is_valid <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">True<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> k <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">r<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        coeffs<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">append<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">v<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">t <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> k<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">\/\/<\/span><span style=\"color: #D8DEE9FF\"> K<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> is_valid<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">try<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            poly <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">R<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">coeffs<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            d <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> poly<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">degree<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> d <\/span><span style=\"color: #81A1C1\">&gt;=<\/span><span style=\"color: #D8DEE9FF\"> n<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                candidates<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">append<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">poly<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">except<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">pass<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">candidates<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&gt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">10<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> <\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">break<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">F <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> candidates<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> p <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> candidates<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">:&#93;:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    tmp <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">gcd<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">F<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> tmp<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">degree<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&gt;=<\/span><span style=\"color: #D8DEE9FF\"> n<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        F <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> tmp<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">F <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> F<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">monic<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">F<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #616E88\"># assert F.is_primitive() and F.degree() == n<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">C <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">c<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> c <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\">F<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">coefficients<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">sparse<\/span><span style=\"color: #81A1C1\">=False<\/span><span style=\"color: #ECEFF4\">)&#91;:<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">l <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #88C0D0\">var<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&#39;l<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">xs <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">**<\/span><span style=\"color: #D8DEE9FF\">beta <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> hints<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> l<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">relations <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    f <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        f <\/span><span style=\"color: #81A1C1\">+=<\/span><span style=\"color: #D8DEE9FF\"> C<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> xs<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    f <\/span><span style=\"color: #81A1C1\">-=<\/span><span style=\"color: #D8DEE9FF\"> xs<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> n<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    relations<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">append<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">f<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">bounds <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">{<\/span><span style=\"color: #D8DEE9FF\">l<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;:<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">**<\/span><span style=\"color: #D8DEE9FF\">beta<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">sols <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">find_small_roots<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">relations<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">bounds<\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\">bounds<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">modulus<\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">state <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">**<\/span><span style=\"color: #D8DEE9FF\">beta <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> hints<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> sols<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;[<\/span><span style=\"color: #D8DEE9FF\">l<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    tmp <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> state<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        tmp <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">tmp <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\"> C<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> state<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> m<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    tmp <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> tmp <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">inverse<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">C<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> m<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> m<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    state <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">tmp<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> state<\/span><span style=\"color: #ECEFF4\">&#91;:<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">ans <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sum<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">state<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">1<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">Please enter your answer: <\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">ans <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> m<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">interactive<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">\u9644\uff1a\u6e90\u7801<\/h3>\n\n\n\n<p><code>main.sage<\/code>\uff08\u9644\u4ef6\u4e2d\u672a\u7ed9\u51fa\uff09<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>import os\n\nflag = \"SUCTF{b8faea32-9f91-42b5-9355-33865e06270c}\"\n\nwith open('.\/flag', 'w') as f:\n    f.write(flag)\n\nm = random_prime(2^60+2^16, lbound=2^60-2^16, proof=False)\n\nf = open(\".\/data\", \"w\")\nf.write(f\"{m}\\n\")\n\nF = GF(m)\nR.&lt;x> = PolynomialRing(F)\nwhile True:\n    poly = R.irreducible_element(24, algorithm=\"random\")\n    if all(c != 0 for c in poly.coefficients(sparse=False)):\n        break\n\nfor i in poly.list()&#91;:-1&#93;:\n    f.write(f\"{m-i}\\n\")\n\nfor i in range(24):\n    f.write(f\"{randint(0, 2**59)}\\n\")\n\nf.close()<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #D8DEE9FF\">import os<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">flag <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">SUCTF{b8faea32-9f91-42b5-9355-33865e06270c}<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">with <\/span><span style=\"color: #88C0D0\">open<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">.\/flag<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">w<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> as f:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    f.<\/span><span style=\"color: #88C0D0\">write<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">flag<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">m <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">random_prime<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">^<\/span><span style=\"color: #B48EAD\">60<\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">^<\/span><span style=\"color: #B48EAD\">16<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> lbound<\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">^<\/span><span style=\"color: #B48EAD\">60<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">^<\/span><span style=\"color: #B48EAD\">16<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> proof<\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\">False<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">f <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">open<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">.\/data<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">w<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">f.<\/span><span style=\"color: #88C0D0\">write<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">f<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">{m}<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">F <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">GF<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">R.<\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #81A1C1\">&gt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">PolynomialRing<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">F<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> True:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    poly <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> R.<\/span><span style=\"color: #88C0D0\">irreducible_element<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">24<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> algorithm<\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">random<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">all<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">c <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> c in poly.<\/span><span style=\"color: #88C0D0\">coefficients<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">sparse<\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\">False<\/span><span style=\"color: #ECEFF4\">))<\/span><span style=\"color: #D8DEE9FF\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">break<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i in poly.<\/span><span style=\"color: #88C0D0\">list<\/span><span style=\"color: #ECEFF4\">()&#91;<\/span><span style=\"color: #D8DEE9FF\">:<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    f.<\/span><span style=\"color: #88C0D0\">write<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">f<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">{m-i}<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i in <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">24<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    f.<\/span><span style=\"color: #88C0D0\">write<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">f<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">{randint(0, 2**59)}<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">f.<\/span><span style=\"color: #88C0D0\">close<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p><code>src.c<\/code>\uff08\u7f16\u8bd1\u4e4b\u540e\u5f97\u5230\u9644\u4ef6\u4e2d\u7684<code>chall<\/code>\uff09<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>#include &lt;stdio.h>\n#include &lt;stdlib.h>\n\n#define ll long long\n\nll c&#91;24&#93;;\nll state&#91;24&#93;;\nll p;\n\nll mul(ll a, ll b)\n{\n    ll res = 0;\n    while (b)\n    {\n        if (b &amp; 1)\n        {\n            res = (res + a) % p;\n        }\n        a = (a &lt;&lt; 1) % p;\n        b >>= 1;\n    }\n    return res;\n}\n\nll RAND(ll n)\n{\n    if(n > 60)\n    {\n        printf(\"Something went wrong...\\n\");\n        exit(1);\n    }\n\n    ll tmp = 0;\n\n    for (int i = 0; i &lt; 24; i++)\n    {\n        tmp = (tmp + mul(state&#91;i&#93;, c&#91;i&#93;)) % p;\n    }\n\n    for (int i = 0; i &lt; 23; i++)\n    {\n        state&#91;i&#93; = state&#91;i + 1&#93;;\n    }\n\n    state&#91;23&#93; = tmp;\n\n    return tmp >> (60 - n);\n\n}\n\nvoid init()\n{\n    setvbuf(stdin, NULL, _IONBF, 0);\n    setvbuf(stdout, NULL, _IONBF, 0);\n    setvbuf(stderr, NULL, _IONBF, 0);\n}\n\nvoid init_param()\n{\n    FILE *file = fopen(\".\/data\", \"r\");\n    if (file == NULL)\n    {\n        printf(\"Failed to open file...\\n\");\n        exit(1);\n    }\n\n    fscanf(file, \"%lld\", &amp;p);\n    for (int i = 0; i &lt; 24; i++)\n    {\n        fscanf(file, \"%lld\", &amp;c&#91;i&#93;);\n    }\n\n    for (int i = 0; i &lt; 24; i++)\n    {\n        fscanf(file, \"%lld\", &amp;state&#91;i&#93;);\n    }\n\n}\n\nvoid menu()\n{\n    printf(\"===Flag Management System===\\n\");\n    printf(\"&#91;1&#93; Get Flag\\n\");\n    printf(\"&#91;2&#93; Get Hint\\n\");\n    printf(\"&#91;3&#93; Exit\\n\");\n\n    printf(\">>> \");\n}\n\nint main()\n{\n    init();\n    init_param();\n\n    ll ans = 0;\n    for (int i = 0; i &lt; 24; i++)\n    {\n        ans = (ans + state&#91;i&#93;) % p;\n    }\n\n    while (1)\n    {\n        menu();\n        int choice;\n        scanf(\"%d\", &amp;choice);\n\n        switch (choice)\n        {\n            case 1:\n                printf(\"Please enter your answer: \");\n                ll user_ans;\n                scanf(\"%lld\", &amp;user_ans);\n                if (user_ans == ans)\n                {\n                    FILE *file = fopen(\".\/flag\", \"r\");\n                    if (file == NULL)\n                    {\n                        printf(\"Failed to open file...\\n\");\n                        exit(1);\n                    }\n                    char flag&#91;64&#93;;\n                    fgets(flag, sizeof(flag), file);\n                    printf(\"Congratulations! Here is your flag: %s\\n\", flag);\n                    fclose(file);\n                }\n                else\n                {\n                    printf(\"Wrong answer!\\n\");\n                    exit(1);\n                }\n                break;\n            case 2:\n                printf(\"Here is your hint: %lld\\n\", RAND(40));\n                break;\n            case 3:\n                printf(\"Goodbye!\\n\");\n                exit(0);\n            default:\n                printf(\"NO!!!\\n\");\n                break;\n        }\n    }\n\n    return 0;\n}<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #5E81AC; font-weight: bold\">#<\/span><span style=\"color: #81A1C1\">include<\/span><span style=\"color: #8FBCBB\"> <\/span><span style=\"color: #ECEFF4\">&lt;<\/span><span style=\"color: #8FBCBB\">stdio.h<\/span><span style=\"color: #ECEFF4\">&gt;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #5E81AC; font-weight: bold\">#<\/span><span style=\"color: #81A1C1\">include<\/span><span style=\"color: #8FBCBB\"> <\/span><span style=\"color: #ECEFF4\">&lt;<\/span><span style=\"color: #8FBCBB\">stdlib.h<\/span><span style=\"color: #ECEFF4\">&gt;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #5E81AC; font-weight: bold\">#<\/span><span style=\"color: #81A1C1\">define<\/span><span style=\"color: #5E81AC\"> <\/span><span style=\"color: #88C0D0\">ll<\/span><span style=\"color: #5E81AC\"> <\/span><span style=\"color: #81A1C1\">long<\/span><span style=\"color: #5E81AC\"> <\/span><span style=\"color: #81A1C1\">long<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">ll c<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">24<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">ll state<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">24<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">ll p<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">ll <\/span><span style=\"color: #88C0D0\">mul<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">ll <\/span><span style=\"color: #D8DEE9\">a<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> ll <\/span><span style=\"color: #D8DEE9\">b<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    ll res <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">b<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">b <\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            res <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">res <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> a<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        a <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">a <\/span><span style=\"color: #81A1C1\">&lt;&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        b <\/span><span style=\"color: #81A1C1\">&gt;&gt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">ll <\/span><span style=\"color: #88C0D0\">RAND<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">ll <\/span><span style=\"color: #D8DEE9\">n<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n <\/span><span style=\"color: #81A1C1\">&gt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">60<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Something went wrong...<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">exit<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    ll tmp <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">24<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i<\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        tmp <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">tmp <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">mul<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">state<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> c<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;))<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">23<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i<\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        state<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> state<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    state<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">23<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> tmp<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> tmp <\/span><span style=\"color: #81A1C1\">&gt;&gt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">60<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\"> n<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">void<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">init<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">setvbuf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">stdin<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">NULL<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> _IONBF<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">setvbuf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">stdout<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">NULL<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> _IONBF<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">setvbuf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">stderr<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">NULL<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> _IONBF<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">void<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">init_param<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    FILE <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\">file <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">fopen<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">.\/data<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">r<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">file <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">NULL<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Failed to open file...<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">exit<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">fscanf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">file<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">p<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">24<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i<\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">fscanf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">file<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">c<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">24<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i<\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">fscanf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">file<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">state<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">void<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">menu<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">===Flag Management System===<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&#91;1&#93; Get Flag<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&#91;2&#93; Get Hint<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&#91;3&#93; Exit<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">main<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">init<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">init_param<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    ll ans <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">24<\/span><span style=\"color: #81A1C1\">;<\/span><span style=\"color: #D8DEE9FF\"> i<\/span><span style=\"color: #81A1C1\">++<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        ans <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">ans <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> state<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">menu<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">int<\/span><span style=\"color: #D8DEE9FF\"> choice<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">scanf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%d<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9FF\">choice<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">switch<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">choice<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">case<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Please enter your answer: <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                ll user_ans<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">scanf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">%lld<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&amp;<\/span><span style=\"color: #D8DEE9\">user_ans<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">user_ans <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> ans<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    FILE <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\">file <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">fopen<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">.\/flag<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">r<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">file <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">NULL<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                        <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Failed to open file...<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                        <\/span><span style=\"color: #88C0D0\">exit<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #81A1C1\">char<\/span><span style=\"color: #D8DEE9FF\"> flag<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">64<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">fgets<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">flag<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">sizeof<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">flag<\/span><span style=\"color: #ECEFF4\">),<\/span><span style=\"color: #D8DEE9FF\"> file<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Congratulations! Here is your flag: %s<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> flag<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">fclose<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">file<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">else<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Wrong answer!<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">exit<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">break;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">case<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Here is your hint: %lld<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">RAND<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">40<\/span><span style=\"color: #ECEFF4\">))<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">break;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">case<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">3<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Goodbye!<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">exit<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">default<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">printf<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">NO!!!<\/span><span style=\"color: #EBCB8B\">\\n<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">break;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #81A1C1\">;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">SU_Isogeny<\/h2>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>from Crypto.Util.number import *\nfrom Crypto.Cipher import AES\nfrom Crypto.Util.Padding import *\nfrom hashlib import sha256\nfrom secret import flag\nfrom random import randint\nimport os\n\np = 5326738796327623094747867617954605554069371494832722337612446642054009560026576537626892113026381253624626941643949444792662881241621373288942880288065659\n\nF = GF(p)\n\npl = [x for x in prime_range(3, 374) + &#91;587&#93;]\npvA = &#91;randint(-5, 5) for _ in pl&#93;\npvB = &#91;randint(-5, 5) for _ in pl&#93;\n\nassert len(pl) == len(pvA) == len(pvB)\n\n\ndef cal(A, sk):\n    E = EllipticCurve(F, &#91;0, A, 0, 1, 0&#93;)\n    for sgn in &#91;1, -1&#93;:\n        for e, ell in zip(sk, pl):\n            for i in range(sgn * e):\n                while not (P := (p + 1) \/\/ ell * E.random_element()) or ell * P != 0:\n                    pass\n                E = E.isogeny_codomain(P)\n        E = E.quadratic_twist()\n    return E.montgomery_model().a2()\n\nmenu = \"\"\"&#91;1&#93; Get public key\n&#91;2&#93; Get gift\n&#91;3&#93; Get flag\n&#91;4&#93; Exit\n>>> \"\"\"\n\ndef main():\n    while True:\n        try:\n            op = input(menu)\n            if op == \"1\":\n                pkA = cal(0, pvA)\n                pkB = cal(0, pvB)\n                print(f\"pkA: {pkA}\")\n                print(f\"pkB: {pkB}\")\n            elif op == \"2\":\n                pkA = int(input(\"pkA >>> \"))\n                pkB = int(input(\"pkB >>> \"))\n                A = cal(pkA, pvB)\n                B = cal(pkB, pvA)\n                if A != B:\n                    print(\"Illegal public key!\")\n                print(f\"Gift : {int(A) >> 200}\")\n            elif op == \"3\":\n                key = sha256(str(cal(cal(0, pvB), pvA)).encode()).digest()\n                print(f\"Here is your flag: {AES.new(key, AES.MODE_ECB).encrypt(pad(flag, 16)).hex()}\")\n            elif op == \"4\":\n                print(\"Bye~\")\n                break\n            else:\n                print(\"Invalid option.\")\n        except:\n            print(\"Something wrong...\")\n            break\n\nif __name__ == \"__main__\":\n    main()<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> Crypto<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Util<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">number <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> Crypto<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Cipher <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> AES<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> Crypto<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Util<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Padding <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> hashlib <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> sha256<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> secret <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> flag<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> random <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> randint<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> os<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">p <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">5326738796327623094747867617954605554069371494832722337612446642054009560026576537626892113026381253624626941643949444792662881241621373288942880288065659<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">F <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">GF<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">p<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">pl <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #D8DEE9FF\">x <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> x <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">prime_range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">3<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">374<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">587<\/span><span style=\"color: #ECEFF4\">&#93;]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">pvA <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #88C0D0\">randint<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">5<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">5<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> pl<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">pvB <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #88C0D0\">randint<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">5<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">5<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> pl<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">assert<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">pl<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">pvA<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">pvB<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">cal<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">sk<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    E <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">EllipticCurve<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">F<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> sgn <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> e<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> ell <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">zip<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">sk<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> pl<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">sgn <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> e<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">not<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">P <\/span><span style=\"color: #81A1C1\">:=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">p <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">\/\/<\/span><span style=\"color: #D8DEE9FF\"> ell <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> E<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">random_element<\/span><span style=\"color: #ECEFF4\">())<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">or<\/span><span style=\"color: #D8DEE9FF\"> ell <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> P <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #81A1C1\">pass<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                E <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> E<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">isogeny_codomain<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">P<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        E <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> E<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">quadratic_twist<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> E<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">montgomery_model<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">a2<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">menu <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;&quot;&quot;<\/span><span style=\"color: #A3BE8C\">&#91;1&#93; Get public key<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">&#91;2&#93; Get gift<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">&#91;3&#93; Get flag<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">&#91;4&#93; Exit<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;&quot;&quot;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">main<\/span><span style=\"color: #ECEFF4\">():<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">True<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">try<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            op <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">input<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">menu<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> op <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">1<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                pkA <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">cal<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> pvA<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                pkB <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">cal<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> pvB<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;pkA: <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">pkA<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;pkB: <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">pkB<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">elif<\/span><span style=\"color: #D8DEE9FF\"> op <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">2<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                pkA <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">input<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkA &gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                pkB <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">input<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkB &gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                A <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">cal<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">pkA<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> pvB<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                B <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">cal<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">pkB<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> pvA<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> A <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Illegal public key!<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;Gift : <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&gt;&gt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">200<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">elif<\/span><span style=\"color: #D8DEE9FF\"> op <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">3<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                key <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sha256<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">cal<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">cal<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> pvB<\/span><span style=\"color: #ECEFF4\">),<\/span><span style=\"color: #D8DEE9FF\"> pvA<\/span><span style=\"color: #ECEFF4\">)).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">()).<\/span><span style=\"color: #88C0D0\">digest<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;Here is your flag: <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">AES<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">new<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">key<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> AES<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">MODE_ECB<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">encrypt<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">pad<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">flag<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">16<\/span><span style=\"color: #ECEFF4\">)).<\/span><span style=\"color: #88C0D0\">hex<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">elif<\/span><span style=\"color: #D8DEE9FF\"> op <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">4<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Bye~<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">break<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">else<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Invalid option.<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">except<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Something wrong...<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">break<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> __name__ <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">__main__<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">main<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p>\u5206\u89e3\\(p+1\\)\u53ef\u4ee5\u770b\u5230\u5b83\u5176\u5b9e\u662f\u5f88\u6807\u51c6\u7684CSIDH-512\u6240\u4f7f\u7528\u7684\u6a21\u6570\uff0c\u672c\u9898\u662f\u5f88\u6807\u51c6\u7684CI-HNP\u95ee\u9898\uff0c\u6c42\u89e3\u8be5\u95ee\u9898\u7684\u5177\u4f53\u539f\u7406\u53ef\u4ee5\u53c2\u8003<a href=\"https:\/\/eprint.iacr.org\/2023\/1409.pdf\"><em>Solving the Hidden Number Problem for CSIDH and CSURF via Automated Coppersmith<\/em><\/a>\u4e00\u6587\uff0c\u5728\u83b7\u5f97\u516c\u94a5\\(A,B\\)\u4e4b\u540e\uff0c\u5bf9\u4e8e\\(\\mathbb{Z}_p\\)\u4e0a\u7684\u66f2\u7ebf\\(E_A:y^2=x^3+Ax^2+x\\)\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5982\u4e0b\u65b9\u5f0f\u8ba1\u7b97\u5b83\u7684\u4e24\u4e2a4-\u540c\u6e90\u66f2\u7ebf\uff1a <\/p>\n\n\n\n<p>$$ <br>\\begin{aligned} E_{A1}:y^2=x^3+2\\frac{A+6}{2-A}x^2+x\\\\<br>E_{A2}:y^2=x^3+2\\frac{A-6}{A+2}x^2+x\\\\<br>\\end{aligned}<br>$$<\/p>\n\n\n\n<p>\u6211\u4eec\u5148\u5c06\\((A,B)\\)\u4f5c\u4e3a\u516c\u94a5\u8f93\u5165\u53ef\u4ee5\u5f97\u5230\\(E_{AB}\\)\u7684\u53c2\u6570\u7684\u9ad8\u4f4d\\(H_1\\)\uff0c\u518d\u5206\u522b\u8f93\u5165\\((2\\frac{A+6}{2-A},B)\\)\u548c\\((2\\frac{A-6}{A+2},B)\\)\u4f5c\u4e3a\u516c\u94a5\u8fdb\u884c\u4e00\u6b21\u9519\u8bef\u7684\u5bc6\u94a5\u4ea4\u6362\u53ef\u4ee5\u5f97\u5230\\(E_{AB}\\)\u7684\u4e24\u67614-\u540c\u6e90\u66f2\u7ebf\u7684\u53c2\u6570\u7684\u9ad8\u4f4d\uff08\u5206\u522b\u8bb0\u4e3a\\(H_2,H_3\\)\uff09\uff0c\u8bbe\u4e09\u672a\u77e5\u6570\\(x,y,z\\)\uff0c\u5219\u53ef\u4ee5\u5f97\u5230\u5982\u4e0b\u5173\u7cfb\uff1a<\/p>\n\n\n\n<p>$$<br>\\begin{cases}<br>(H_1+x)(H_2+y)+2(H_1+x)-2(H_2+y)+12=0\\\\<br>(H_3+z)(H_2+y)+2(H_2+y)-2(H_3+z)+12=0\\\\<br>(H_1+x)(H_3+z)-2(H_1+x)+2(H_3+z)+12=0\\\\<br>\\end{cases}<br>$$<\/p>\n\n\n\n<p>\u56e0\u4e3a\u5df2\u77e5\u4f4d\u7ea6\u4e3a\\(512-200=312>\\frac{13}{24}\\times512\\)\uff0c\u6ee1\u8db3\u8bba\u6587\u4e2d\u6240\u7ed9\u51fa\u7684\u53ef\u6c42\u89e3\u6761\u4ef6\uff0c\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7Coppersmith\u65b9\u6cd5\u8fdb\u884c\u6c42\u89e3\uff0c\u8fd9\u91cc\u6211\u4eec\u4f7f\u7528cuso\u8fdb\u884c\u6c42\u89e3\uff0c\u5f53\u7136\uff0c\u4e5f\u53ef\u4ee5\u5229\u7528\u8bba\u6587\u4e2d\u7ed9\u51fa\u7684\u4ee3\u7801\uff08<a href=\"https:\/\/github.com\/juliannowakowski\/automated-coppersmith\">juliannowakowski\/automated-coppersmith<\/a>\uff09\u8fdb\u884c\u6c42\u89e3\uff1a<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>from Crypto.Util.number import *\nfrom Crypto.Cipher import AES\nfrom hashlib import sha256\nfrom pwn import *\nfrom sage.all import *\nfrom cuso import find_small_roots\n\np = 5326738796327623094747867617954605554069371494832722337612446642054009560026576537626892113026381253624626941643949444792662881241621373288942880288065659\nF = GF(p)\n\nio = remote(\"110.42.47.116\", 10001)\n\nio.sendlineafter(b\">>> \", b\"1\")\nio.recvuntil(b\"pkA: \")\na = int(io.recvline().strip())\nio.recvuntil(b\"pkB: \")\npkB = int(io.recvline().strip())\n\nb = 2 * (a + 6) * inverse(2 - a, p) % p\nc = 2 * (a - 6) * inverse(a + 2, p) % p\n\n\nio.sendlineafter(b\">>> \", b\"2\")\nio.sendlineafter(b\"pkA >>> \", str(a).encode())\nio.sendlineafter(b\"pkB >>> \", str(pkB).encode())\n\nio.recvuntil(b\"Gift : \")\nA = int(io.recvline().strip()) &lt;&lt; 200\n\nio.sendlineafter(b\">>> \", b\"2\")\nio.sendlineafter(b\"pkA >>> \", str(b).encode())\nio.sendlineafter(b\"pkB >>> \", str(pkB).encode())\n\nio.recvuntil(b\"Gift : \")\nB = int(io.recvline().strip()) &lt;&lt; 200\n\nio.sendlineafter(b\">>> \", b\"2\")\nio.sendlineafter(b\"pkA >>> \", str(c).encode())\nio.sendlineafter(b\"pkB >>> \", str(pkB).encode())\n\nio.recvuntil(b\"Gift : \")\nC = int(io.recvline().strip()) &lt;&lt; 200\n\nx, y, z = var(\"x y z\")\n\nrelations = &#91;\n    (A + x) * (B + y) + 2 * (A + x) - 2 * (B + y) + 12,\n    (C + z) * (B + y) + 2 * (B + y) - 2 * (C + z) + 12,\n    (A + x) * (C + z) - 2 * (A + x) + 2 * (C + z) + 12\n&#93;\n\nbounds = {\n    x: (0, 2**200),\n    y: (0, 2**200),\n    z: (0, 2**200)\n}\n\nmoduli = &#91;p, p, p&#93;\n\nroots = find_small_roots(relations, bounds, moduli)\n\nio.sendlineafter(b\">>> \", b\"3\")\nio.recvuntil(b\"Here is your flag: \")\nct = bytes.fromhex(io.recvline().strip().decode())\n\nkey = sha256(str(A + roots&#91;0&#93;&#91;x&#93;).encode()).digest()\n\nflag = AES.new(key, AES.MODE_ECB).decrypt(ct)\nprint(flag)<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> Crypto<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Util<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">number <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> Crypto<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Cipher <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> AES<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> hashlib <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> sha256<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> pwn <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> sage<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">all <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> cuso <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> find_small_roots<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">p <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">5326738796327623094747867617954605554069371494832722337612446642054009560026576537626892113026381253624626941643949444792662881241621373288942880288065659<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">F <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">GF<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">p<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">remote<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">110.42.47.116<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">10001<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">1<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkA: <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">a <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvline<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">strip<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkB: <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">pkB <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvline<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">strip<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">b <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">a <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">6<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">inverse<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\"> a<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">c <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">a <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">6<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">inverse<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">a <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">%<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">2<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkA &gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">a<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkB &gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">pkB<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Gift : <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">A <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvline<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">strip<\/span><span style=\"color: #ECEFF4\">())<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">200<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">2<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkA &gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">b<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkB &gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">pkB<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Gift : <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">B <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvline<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">strip<\/span><span style=\"color: #ECEFF4\">())<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">200<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">2<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkA &gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">c<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">pkB &gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">pkB<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Gift : <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">C <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvline<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">strip<\/span><span style=\"color: #ECEFF4\">())<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">200<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> y<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> z <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">var<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">x y z<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">relations <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> x<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">B <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> y<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> x<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">B <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> y<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">12<\/span><span style=\"color: #ECEFF4\">,<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">C <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> z<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">B <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> y<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">B <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> y<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">C <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> z<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">12<\/span><span style=\"color: #ECEFF4\">,<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> x<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">C <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> z<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> x<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">C <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> z<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">12<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">bounds <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">{<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    x<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">**<\/span><span style=\"color: #B48EAD\">200<\/span><span style=\"color: #ECEFF4\">),<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    y<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">**<\/span><span style=\"color: #B48EAD\">200<\/span><span style=\"color: #ECEFF4\">),<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    z<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #81A1C1\">**<\/span><span style=\"color: #B48EAD\">200<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">moduli <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">p<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> p<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">roots <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">find_small_roots<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">relations<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> bounds<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> moduli<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">3<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Here is your flag: <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">ct <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">bytes<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">fromhex<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvline<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">strip<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">decode<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">key <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sha256<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> roots<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">&#93;).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">()).<\/span><span style=\"color: #88C0D0\">digest<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">flag <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> AES<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">new<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">key<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> AES<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">MODE_ECB<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">decrypt<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">ct<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">flag<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">SU_Restaurant<\/h2>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>from Crypto.Util.number import *\nfrom Crypto.Util.Padding import *\nfrom random import randint, choice, choices\nfrom hashlib import sha3_512\nfrom base64 import b64encode, b64decode\nfrom secret import flag\nimport numpy as np\nimport json\nimport os\n# import pty\n\nH = lambda x: [int(y, 16) for y in [sha3_512(x).hexdigest()&#91;i:i+2&#93; for i in range(0, 128, 2)]]\nalphabet = \"\".join(&#91;chr(i) for i in range(33, 127)&#93;)\n\nclass Point:\n    def __init__(self, x):\n        if isinstance(x, float):\n            raise ValueError(\"...\")\n        while not isinstance(x, int):\n            x = x.x\n        self.x = x\n\n    def __add__(self, other):\n        if isinstance(other, int):\n            return self.x + other\n        return Point(min(self.x, other.x))\n\n    def __radd__(self, other):\n        if isinstance(other, int):\n            return self.x + other\n        return Point(min(self.x, other.x))\n\n    def __mul__(self, other):\n        return Point(self.x + other.x)\n\n    def __eq__(self, other):\n        return self.x == other.x\n\n    def __repr__(self):\n        return f\"{self.x}\"\n\n    def __int__(self):\n        return self.x\n\n\nclass Block:\n    def __init__(self, n, m, data=None):\n        self.n = n\n        self.m = m\n        if data and (len(data) != n or len(data&#91;0&#93;) != m):\n            raise ValueError(\"...\")\n        if data:\n            if isinstance(data, Point):\n                self.data = [[Point(data&#91;i&#93;&#91;j&#93;.x) for j in range(m)] for i in range(n)]\n            else:\n                self.data = [[Point(data&#91;i&#93;&#91;j&#93;) for j in range(m)] for i in range(n)]\n        else:\n            self.data = [&#91;Point(randint(0, 255)) for _ in range(m)&#93; for _ in range(n)]\n\n    def __add__(self, other):\n        return Block(self.n, self.m, [[self.data&#91;i&#93;&#91;j&#93; + other.data&#91;i&#93;&#91;j&#93; for j in range(self.m)] for i in range(self.n)])\n\n    def __mul__(self, other):\n        assert self.m == other.n, \"\ud83d\ude2d\"\n        res = [&#91;Point(511) for _ in range(other.m)&#93; for _ in range(self.n)]\n        for i in range(self.n):\n            for j in range(other.m):\n                for k in range(self.m):\n                    res&#91;i&#93;&#91;j&#93; = res&#91;i&#93;&#91;j&#93; + (self.data&#91;i&#93;&#91;k&#93; * other.data&#91;k&#93;&#91;j&#93;)\n\n        return Block(self.n, other.m, res)\n\n    def __eq__(self, other):\n        res = True\n        for i in range(self.n):\n            for j in range(self.m):\n                res = res and self.data&#91;i&#93;&#91;j&#93; == other.data&#91;i&#93;&#91;j&#93;\n        return res\n\n    def __getitem__(self, item):\n        return self.data&#91;item&#93;\n\n    def __repr__(self):\n        return f\"{self.data}\"\n\n    def legitimacy(self, lb, rb):\n        for i in range(self.n):\n            for j in range(self.m):\n                if not (lb &lt;= int(self.data&#91;i&#93;&#91;j&#93;.x) &lt;= rb):\n                    return False\n        return True\n\nclass Restaurant:\n    def __init__(self, m, n, k):\n        self.m, self.n, self.k = m, n, k\n        self.chef = Block(m, k)\n        self.cooker = Block(k, n)\n        self.fork = self.chef * self.cooker\n\n    def cook(self, msg):\n        if isinstance(msg, str):\n            msg = msg.encode()\n        tmp = H(msg)\n        M = Block(self.n, self.m, [[tmp&#91;i * self.m + j&#93; for j in range(self.m)] for i in range(self.n)])\n        while True:\n            U = Block(self.n, self.k)\n            V = Block(self.k, self.m)\n            P = self.chef * V\n            R = U * self.cooker\n            S = U * V\n            A = (M * self.chef) + U\n            B = (self.cooker * M) + V\n            if A != U and B != V:\n                break\n        return A, B, P, R, S\n\n    def eat(self, msg, A, B, P, R, S):\n        if isinstance(msg, str):\n            msg = msg.encode()\n        tmp = H(msg)\n        M = Block(self.n, self.m, [[tmp&#91;i * self.m + j&#93; for j in range(self.m)] for i in range(self.n)])\n        Z = (M * self.fork * M) + (M * P) + (R * M) + S\n        W = A * B\n        legal = A.legitimacy(0, 256) and B.legitimacy(0, 256) and P.legitimacy(0, 256) and R.legitimacy(0, 256) and S.legitimacy(0, 256)\n        return W == Z and W != S and legal\n\n\nbanner = \"\"\"=================================================================\n ____  _   _   ____           _                              _   \n\/ ___|| | | | |  _ \\ ___  ___| |_ __ _ _   _ _ __ __ _ _ __ | |_ \n\\___ \\| | | | | |_) \/ _ \\\/ __| __\/ _` | | | | '__\/ _` | '_ \\| __|\n ___) | |_| | |  _ &lt;  __\/\\__ \\ || (_| | |_| | | | (_| | | | | |_ \n|____\/ \\___\/  |_| \\_\\___||___\/\\__\\__,_|\\__,_|_|  \\__,_|_| |_|\\__|\n=================================================================\n\"\"\"\n\nmenu = \"\"\"Do something...\n&#91;1&#93; Say to the waiter: \"Please give me some food.\"\n&#91;2&#93; Say to the waiter: \"Please give me the FLAG!\"\n&#91;3&#93; Check out\nWhat do you want to do? \n>>> \"\"\"\n\nfoodlist = &#91;\"Spring rolls\", \"Red Rice Rolls\", \"Chencun Rice Noodles\", \"Egg Tart\", \"Cha siu bao\"&#93;\ntable = []\n\ndef main():\n    print(banner)\n    SU_Restaurant = Restaurant(8, 8, 7)\n\n    havefork = False\n    try:\n        while True:\n            op = int(input(menu))\n            if op == 1:\n                if len(table) == 2:\n                    print(\"You're full and don't want to order more...\")\n                    continue\n                foodname = choice(foodlist)\n                while foodname in table:\n                    foodname = choice(foodlist)\n                print(f'The waiter says: \"Here is your {foodname}!\"')\n                table.append(foodname)\n                A, B, P, R, S = SU_Restaurant.cook(foodname)\n                print(f'A = {A}\\nB = {B}\\nP = {P}\\nR = {R}\\nS = {S}')\n\n            elif op == 2:\n                Fo0dN4mE = \"\".join(choices(alphabet, k=36))\n                print(f'The waiter says: \"Please make {Fo0dN4mE} for me!\"')\n                res = json.loads(input(\">>> \"))\n                r1 = np.linalg.matrix_rank(np.array(res&#91;\"A\"&#93;))\n                r2 = np.linalg.matrix_rank(np.array(res&#91;\"B\"&#93;))\n                r3 = np.linalg.matrix_rank(np.array(res&#91;\"P\"&#93;))\n                r4 = np.linalg.matrix_rank(np.array(res&#91;\"R\"&#93;))\n                r5 = np.linalg.matrix_rank(np.array(res&#91;\"S\"&#93;))\n\n                if r1 &lt; 7 or r2 &lt; 7 or r3 &lt; 8 or r4 &lt; 8 or r5 &lt; 8:\n                    print('The waiter says: \"These are illegal food ingredients\"')\n                    continue\n\n                A = Block(8, 7, res&#91;\"A\"&#93;)\n                B = Block(7, 8, res&#91;\"B\"&#93;)\n                P = Block(8, 8, res&#91;\"P\"&#93;)\n                R = Block(8, 8, res&#91;\"R\"&#93;)\n                S = Block(8, 8, res&#91;\"S\"&#93;)\n                if SU_Restaurant.eat(Fo0dN4mE, A, B, P, R, S):\n                    print(f'The waiter says: \"Here is the FLAG: {flag}\"')\n                else:\n                    print('The waiter says: \"This is not what I wanted!\"')\n                    exit(0)\n\n            elif op == 3:\n                print('The waiter says: \"Welcome to our restaurant next time!\"')\n                break\n            else:\n                print(\"Invalid option!\")\n    except:\n        print(\"Something wrong...\")\n        exit(0)\n\nif __name__ == \"__main__\":\n    main()<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> Crypto<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Util<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">number <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> Crypto<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Util<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">Padding <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> random <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> randint<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> choice<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> choices<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> hashlib <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> sha3_512<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> base64 <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> b64encode<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> b64decode<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> secret <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> flag<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> numpy <\/span><span style=\"color: #81A1C1\">as<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> json<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> os<\/span><\/span>\n<span class=\"line\"><span style=\"color: #616E88\"># import pty<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">H <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">lambda<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">x<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">y<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">16<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> y <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #88C0D0\">sha3_512<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">hexdigest<\/span><span style=\"color: #ECEFF4\">()&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">128<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #ECEFF4\">)]]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">alphabet <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;&quot;<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">join<\/span><span style=\"color: #ECEFF4\">(&#91;<\/span><span style=\"color: #88C0D0\">chr<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">33<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">127<\/span><span style=\"color: #ECEFF4\">)&#93;)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">class<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #8FBCBB\">Point<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__init__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">x<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">isinstance<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">float<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">raise<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #8FBCBB\">ValueError<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">...<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">not<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">isinstance<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            x <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> x<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> x<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__add__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">other<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">isinstance<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">other<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Point<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">min<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">))<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__radd__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">other<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">isinstance<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">other<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Point<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">min<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">))<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__mul__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">other<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Point<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__eq__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">other<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__repr__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__int__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">class<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #8FBCBB\">Block<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__init__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">data<\/span><span style=\"color: #81A1C1\">=None<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> n<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> m<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> data <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> n <\/span><span style=\"color: #81A1C1\">or<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> m<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">raise<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #8FBCBB\">ValueError<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">...<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> data<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">isinstance<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> Point<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #88C0D0\">Point<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">else<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #88C0D0\">Point<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">else<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #88C0D0\">Point<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">randint<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">255<\/span><span style=\"color: #ECEFF4\">))<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__add__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">other<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)])<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__mul__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">other<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">assert<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">\ud83d\ude2d<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        res <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #88C0D0\">Point<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">511<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> k <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">k<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">k<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__eq__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">other<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        res <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">True<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                res <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> res <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> other<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__getitem__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">item<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">item<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__repr__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">legitimacy<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">lb<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">rb<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">not<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">lb <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">data<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;.<\/span><span style=\"color: #D8DEE9FF\">x<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> rb<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">False<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">True<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">class<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #8FBCBB\">Restaurant<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">__init__<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">k<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">k <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> k<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">chef <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> k<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">cooker <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">k<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> n<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">fork <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">chef <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">cooker<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">cook<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">msg<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">isinstance<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">msg<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            msg <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> msg<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        tmp <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">H<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">msg<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        M <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #D8DEE9FF\">tmp<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)])<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">True<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            U <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">k<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            V <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">k<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            P <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">chef <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            R <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> U <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">cooker<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            S <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> U <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            A <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">chef<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> U<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            B <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">cooker <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> M<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> A <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> U <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> B <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">break<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> P<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> R<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> S<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">eat<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">msg<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">B<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">P<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">R<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">S<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">isinstance<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">msg<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            msg <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> msg<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        tmp <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">H<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">msg<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        M <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #D8DEE9FF\">tmp<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)])<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        Z <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">self<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">fork <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> M<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> P<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">R <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> M<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> S<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        W <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> A <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        legal <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> A<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">legitimacy<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">256<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">legitimacy<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">256<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> P<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">legitimacy<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">256<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> R<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">legitimacy<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">256<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> S<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">legitimacy<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">256<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> W <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> Z <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> W <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> S <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> legal<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">banner <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;&quot;&quot;<\/span><span style=\"color: #A3BE8C\">=================================================================<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\"> ____  _   _   ____           _                              _   <\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">\/ ___|| | | | |  _ \\ ___  ___| |_ __ _ _   _ _ __ __ _ _ __ | |_ <\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">\\___ \\| | | | | |_) \/ _ \\\/ __| __\/ _` | | | | &#39;__\/ _` | &#39;_ \\| __|<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\"> ___) | |_| | |  _ &lt;  __\/\\__ \\ || (_| | |_| | | | (_| | | | | |_ <\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">|____\/ \\___\/  |_| \\_\\___||___\/\\__\\__,_|\\__,_|_|  \\__,_|_| |_|\\__|<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">=================================================================<\/span><\/span>\n<span class=\"line\"><span style=\"color: #ECEFF4\">&quot;&quot;&quot;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">menu <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;&quot;&quot;<\/span><span style=\"color: #A3BE8C\">Do something...<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">&#91;1&#93; Say to the waiter: &quot;Please give me some food.&quot;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">&#91;2&#93; Say to the waiter: &quot;Please give me the FLAG!&quot;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">&#91;3&#93; Check out<\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">What do you want to do? <\/span><\/span>\n<span class=\"line\"><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;&quot;&quot;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">foodlist <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Spring rolls<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Red Rice Rolls<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Chencun Rice Noodles<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Egg Tart<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Cha siu bao<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">table <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">main<\/span><span style=\"color: #ECEFF4\">():<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">banner<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    SU_Restaurant <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Restaurant<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">7<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    havefork <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">False<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">try<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">True<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            op <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">input<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">menu<\/span><span style=\"color: #ECEFF4\">))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> op <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">table<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">You&#39;re full and don&#39;t want to order more...<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #81A1C1\">continue<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                foodname <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">choice<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">foodlist<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> foodname <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> table<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    foodname <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">choice<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">foodlist<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&#39;The waiter says: &quot;Here is your <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">foodname<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">!&quot;&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                table<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">append<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">foodname<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> P<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> R<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> S <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> SU_Restaurant<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">cook<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">foodname<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&#39;A = <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #EBCB8B\">}\\n<\/span><span style=\"color: #A3BE8C\">B = <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">B<\/span><span style=\"color: #EBCB8B\">}\\n<\/span><span style=\"color: #A3BE8C\">P = <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">P<\/span><span style=\"color: #EBCB8B\">}\\n<\/span><span style=\"color: #A3BE8C\">R = <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">R<\/span><span style=\"color: #EBCB8B\">}\\n<\/span><span style=\"color: #A3BE8C\">S = <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">S<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">elif<\/span><span style=\"color: #D8DEE9FF\"> op <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                Fo0dN4mE <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;&quot;<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">join<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">choices<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">alphabet<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">k<\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #B48EAD\">36<\/span><span style=\"color: #ECEFF4\">))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&#39;The waiter says: &quot;Please make <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">Fo0dN4mE<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\"> for me!&quot;&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                res <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> json<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">loads<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">input<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                r1 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">linalg<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">matrix_rank<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">array<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">A<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                r2 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">linalg<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">matrix_rank<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">array<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">B<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                r3 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">linalg<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">matrix_rank<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">array<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">P<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                r4 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">linalg<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">matrix_rank<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">array<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">R<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                r5 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">linalg<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">matrix_rank<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">np<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">array<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">S<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;))<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> r1 <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">7<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">or<\/span><span style=\"color: #D8DEE9FF\"> r2 <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">7<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">or<\/span><span style=\"color: #D8DEE9FF\"> r3 <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">or<\/span><span style=\"color: #D8DEE9FF\"> r4 <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">or<\/span><span style=\"color: #D8DEE9FF\"> r5 <\/span><span style=\"color: #81A1C1\">&lt;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">The waiter says: &quot;These are illegal food ingredients&quot;<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #81A1C1\">continue<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                A <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">7<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">A<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                B <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">7<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">B<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                P <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">P<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                R <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">R<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                S <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Block<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> res<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">S<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> SU_Restaurant<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">eat<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">Fo0dN4mE<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> P<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> R<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> S<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&#39;The waiter says: &quot;Here is the FLAG: <\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">flag<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">else<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">The waiter says: &quot;This is not what I wanted!&quot;<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                    <\/span><span style=\"color: #88C0D0\">exit<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">elif<\/span><span style=\"color: #D8DEE9FF\"> op <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">3<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">The waiter says: &quot;Welcome to our restaurant next time!&quot;<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #81A1C1\">break<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">else<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Invalid option!<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">except<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Something wrong...<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">exit<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> __name__ <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">__main__<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">main<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p>\u4e0a\u8ff0\u4ee3\u7801\u5b9e\u73b0\u4e86<a href=\"https:\/\/eprint.iacr.org\/2026\/095.pdf\"><em>Tropical cryptography IV: Digital signatures and secret sharing with arbitrary access structure<\/em><\/a>\u4e00\u6587\u4e2d\u5b9e\u73b0\u7684\u57fa\u4e8e\u70ed\u5e26\u4ee3\u6570\u7684\u6570\u5b57\u7b7e\u540d\u7b97\u6cd5\uff0c\u8be5\u7b7e\u540d\u7b97\u6cd5\u6d41\u7a0b\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p>\u9996\u5148\u9009\u53d6\u4e00\u4e2a\\(m\\times k\\)\u7684\u968f\u673a\u70ed\u5e26\u77e9\u9635\\(X\\)\u4ee5\u53ca\u4e00\u4e2a\\(k\\times n\\)\u7684\u968f\u673a\u70ed\u5e26\u77e9\u9635\\(Y\\)\uff0c\u8ba1\u7b97\\(T=XY\\)\uff0c\u5e76\u5c06\u660e\u6587\u8ba1\u7b97\u4e3a\u4e00\u4e2a\\(n\\times m\\)\u7684\u54c8\u5e0c\u77e9\u9635\\(M\\)\uff0c\u4e4b\u540e\u9009\u53d6\u4e00\u4e2a\\(n\\times k\\)\u7684\u968f\u673a\u70ed\u5e26\u77e9\u9635\\(U\\)\u4ee5\u53ca\u4e00\u4e2a\\(k\\times m\\)\u7684\u968f\u673a\u70ed\u5e26\u77e9\u9635\\(V\\)\uff0c\u8bb0\\(P=X\\otimes V,R=U\\otimes Y,S=U\\otimes V\\)\uff0c\u6ee1\u8db3\\((M\\otimes X)\\oplus U\\neq U,(Y\\otimes M)\\oplus V\\neq V\\)\uff0c\u6700\u540e\u5f97\u5230\u7b7e\u540d\u4e94\u5143\u7ec4\uff1a\\(((M\\otimes X)\\oplus U,(Y\\otimes M)\\oplus V,P,R,S)\\)<\/p>\n\n\n\n<p>\u800c\u8be5\u7b97\u6cd5\u7684\u9a8c\u7b7e\u6d41\u7a0b\u5982\u4e0b\uff1a<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u83b7\u5f97\u7684\u7b7e\u540d\u4e94\u5143\u7ec4\uff1a\\(((M\\otimes X)\\oplus U,(Y\\otimes M)\\oplus V,P,R,S)\\)\uff0c\u8ba1\u7b97\uff1a<\/p>\n\n\n\n<p>$$<br>Z=(M\\otimes T\\otimes M)\\oplus (M\\otimes P)\\oplus(R\\otimes M)\\oplus S<br>$$<\/p>\n\n\n\n<p>\u5224\u65ad\\(Z\\)\u662f\u5426\u7b49\u4e8e\\([(M\\otimes X)\\oplus U]\\otimes[(Y\\otimes M)\\oplus V]\\)\uff0c\u82e5\u76f8\u7b49\u5219\u9a8c\u8bc1\u6210\u529f\uff0c\u5426\u5219\u9a8c\u8bc1\u5931\u8d25\u3002<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u8fd9\u4e2a\u7b7e\u540d\uff0c\u5728<a href=\"https:\/\/eprint.iacr.org\/2026\/387.pdf\"><em>A Comprehensive Break of the Tropical Matrix-Based Signature Scheme<\/em><\/a>\u4e00\u6587\uff08\u4e2d\u63d0\u5230\u53ef\u4ee5\u901a\u8fc7\u83b7\u53d6\u4e24\u6b21\u7b7e\u540d\u6765\u6784\u9020\u65b9\u7a0b\uff0c\u6211\u4eec\u8bb0\u7b2c\\(i(i=1,2)\\)\u6b21\u83b7\u5f97\u7684\u7b7e\u540d\u4e3a\\((A_i,B_i,P_i,R_i,S_i)\\)\uff0c\u5c06\\(X,Y,U_i,V_i\\)\u7684\u6240\u6709\u5143\u7d20\u4f5c\u4e3a\\([0,255]\\)\u4e2d\u7684\u672a\u77e5\u91cf\u53ef\u4ee5\u5f97\u5230\u65b9\u7a0b\uff1a<\/p>\n\n\n\n<p>$$<br>\\begin{cases}<br>A_i=(M_i\\otimes X)\\oplus U_i\\\\<br>B_i=(Y\\otimes M_i)\\oplus V_i\\\\<br>P_i=X\\otimes V_i\\\\<br>R_i=U_i\\otimes Y\\\\<br>S_i=U_i\\otimes V_i\\\\<br>\\end{cases}<br>$$<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u70ed\u5e26\u4ee3\u6570\u4e2d\u7684\u52a0\u6cd5\\(a\\oplus b=c\\)\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u4e0b\u9762\u7684\u5173\u7cfb\u8fdb\u884c\u66ff\u4ee3\uff1a<\/p>\n\n\n\n<p>$$<br>[(a\\le c)\\wedge(b\\le c)]\\wedge[(a=c)\\vee(b=c)]<br>$$<\/p>\n\n\n\n<p>\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\u53ef\u4ee5\u5c06\u4e0a\u8ff0\u70ed\u5e26\u77e9\u9635\u65b9\u7a0b\u6539\u5199\u4e3az3\u53ef\u4ee5\u6c42\u89e3\u7684\u65b9\u7a0b\uff0c\u4ece\u800c\u6c42\u89e3\u51fa\u79c1\u94a5\uff0c\u6700\u540e\u5bf9\u9776\u673a\u63d0\u4f9b\u7684\u957f\u5ea6\u4e3a36\u7684\u5b57\u7b26\u4e32\u8fdb\u884c\u7b7e\u540d\u5f97\u5230flag\uff08\u4ee5\u4e0b\u811a\u672c\u7531AI\u8f85\u52a9\u751f\u6210\uff09\uff1a<\/p>\n\n\n\n<div class=\"wp-block-kevinbatdorf-code-block-pro\" data-code-block-pro-font-family=\"Code-Pro-JetBrains-Mono\" style=\"font-size:.875rem;font-family:Code-Pro-JetBrains-Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,monospace;line-height:1.25rem;--cbp-tab-width:2;tab-size:var(--cbp-tab-width, 2)\"><span style=\"display:block;padding:16px 0 0 16px;margin-bottom:-1px;width:100%;text-align:left;background-color:#2e3440ff\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"54\" height=\"14\" viewBox=\"0 0 54 14\"><g fill=\"none\" fill-rule=\"evenodd\" transform=\"translate(1 1)\"><circle cx=\"6\" cy=\"6\" r=\"6\" fill=\"#FF5F56\" stroke=\"#E0443E\" stroke-width=\".5\"><\/circle><circle cx=\"26\" cy=\"6\" r=\"6\" fill=\"#FFBD2E\" stroke=\"#DEA123\" stroke-width=\".5\"><\/circle><circle cx=\"46\" cy=\"6\" r=\"6\" fill=\"#27C93F\" stroke=\"#1AAB29\" stroke-width=\".5\"><\/circle><\/g><\/svg><\/span><span role=\"button\" tabindex=\"0\" style=\"color:#d8dee9ff;display:none\" aria-label=\"\u590d\u5236\" class=\"code-block-pro-copy-button\"><pre class=\"code-block-pro-copy-button-pre\" aria-hidden=\"true\"><textarea class=\"code-block-pro-copy-button-textarea\" tabindex=\"-1\" aria-hidden=\"true\" readonly>from pwn import *\nfrom z3 import *\nfrom hashlib import sha3_512\nimport json\nimport random\nimport sys\n\ncontext.log_level = 'info'\n\nM_DIM, N_DIM, K_DIM = 8, 8, 7\n\n\ndef get_M(msg: str):\n    h = sha3_512(msg.encode()).hexdigest()\n    v = [int(h&#91;i:i + 2&#93;, 16) for i in range(0, 128, 2)]\n    return [[v&#91;i * M_DIM + j&#93; for j in range(M_DIM)] for i in range(N_DIM)]\n\n\ndef minplus_mul(A, B):\n    n, m, p = len(A), len(A&#91;0&#93;), len(B&#91;0&#93;)\n    return [[min(A&#91;i&#93;&#91;k&#93; + B&#91;k&#93;&#91;j&#93; for k in range(m)) for j in range(p)] for i in range(n)]\n\n\ndef minplus_add(A, B):\n    return [[min(A&#91;i&#93;&#91;j&#93;, B&#91;i&#93;&#91;j&#93;) for j in range(len(A&#91;0&#93;))] for i in range(len(A))]\n\n\ndef parse_matrix(io, name: bytes):\n    io.recvuntil(name + b\" = \")\n    return eval(io.recvline().decode().strip())\n\n\ndef add_minplus_eq_const(s, out_const, left, right):\n    n, mid, p = len(left), len(left&#91;0&#93;), len(right&#91;0&#93;)\n    for i in range(n):\n        for j in range(p):\n            terms = [left&#91;i&#93;&#91;t&#93; + right&#91;t&#93;&#91;j&#93; for t in range(mid)]\n            for t in terms:\n                s.add(out_const&#91;i&#93;&#91;j&#93; &lt;= t)\n            s.add(Or([out_const&#91;i&#93;&#91;j&#93; == t for t in terms]))\n\n\ndef add_minplus_eq_var(s, out_var, left, right):\n    n, mid, p = len(left), len(left&#91;0&#93;), len(right&#91;0&#93;)\n    for i in range(n):\n        for j in range(p):\n            terms = [left&#91;i&#93;&#91;t&#93; + right&#91;t&#93;&#91;j&#93; for t in range(mid)]\n            for t in terms:\n                s.add(out_var&#91;i&#93;&#91;j&#93; &lt;= t)\n            s.add(Or([out_var&#91;i&#93;&#91;j&#93; == t for t in terms]))\n\n\ndef recv_two_signatures(io):\n    sigs = []\n    for _ in range(2):\n        io.sendlineafter(b\">>> \", b\"1\")\n        io.recvuntil(b\"Here is your \")\n        msg = io.recvuntil(b\"!\")&#91;:-1&#93;.decode()\n        A = parse_matrix(io, b\"A\")\n        B = parse_matrix(io, b\"B\")\n        P = parse_matrix(io, b\"P\")\n        R = parse_matrix(io, b\"R\")\n        S = parse_matrix(io, b\"S\")\n        sigs.append((msg, A, B, P, R, S))\n    return sigs\n\n\ndef recover_keys(sigs):\n    s = Solver()\n    chef = [&#91;Int(f\"chef_{i}_{j}\") for j in range(K_DIM)&#93; for i in range(M_DIM)]\n    cooker = [&#91;Int(f\"cooker_{i}_{j}\") for j in range(N_DIM)&#93; for i in range(K_DIM)]\n\n    for i in range(M_DIM):\n        for j in range(K_DIM):\n            s.add(chef&#91;i&#93;&#91;j&#93; >= 0, chef&#91;i&#93;&#91;j&#93; &lt;= 255)\n    for i in range(K_DIM):\n        for j in range(N_DIM):\n            s.add(cooker&#91;i&#93;&#91;j&#93; >= 0, cooker&#91;i&#93;&#91;j&#93; &lt;= 255)\n\n    for idx, (msg, A, B, P, R, S_mat) in enumerate(sigs):\n        M = get_M(msg)\n        Mz = [[IntVal(M&#91;i&#93;&#91;j&#93;) for j in range(M_DIM)] for i in range(N_DIM)]\n        U = [&#91;Int(f\"U_{idx}_{i}_{j}\") for j in range(K_DIM)&#93; for i in range(N_DIM)]\n        V = [&#91;Int(f\"V_{idx}_{i}_{j}\") for j in range(M_DIM)&#93; for i in range(K_DIM)]\n\n        for i in range(N_DIM):\n            for j in range(K_DIM):\n                s.add(U&#91;i&#93;&#91;j&#93; >= 0, U&#91;i&#93;&#91;j&#93; &lt;= 255)\n        for i in range(K_DIM):\n            for j in range(M_DIM):\n                s.add(V&#91;i&#93;&#91;j&#93; >= 0, V&#91;i&#93;&#91;j&#93; &lt;= 255)\n\n        T1 = [&#91;Int(f\"T1_{idx}_{i}_{j}\") for j in range(K_DIM)&#93; for i in range(N_DIM)]\n        add_minplus_eq_var(s, T1, Mz, chef)\n        for i in range(N_DIM):\n            for j in range(K_DIM):\n                s.add(A&#91;i&#93;&#91;j&#93; &lt;= T1&#91;i&#93;&#91;j&#93;, A&#91;i&#93;&#91;j&#93; &lt;= U&#91;i&#93;&#91;j&#93;)\n                s.add(Or(A&#91;i&#93;&#91;j&#93; == T1&#91;i&#93;&#91;j&#93;, A&#91;i&#93;&#91;j&#93; == U&#91;i&#93;&#91;j&#93;))\n\n        T2 = [&#91;Int(f\"T2_{idx}_{i}_{j}\") for j in range(M_DIM)&#93; for i in range(K_DIM)]\n        add_minplus_eq_var(s, T2, cooker, Mz)\n        for i in range(K_DIM):\n            for j in range(M_DIM):\n                s.add(B&#91;i&#93;&#91;j&#93; &lt;= T2&#91;i&#93;&#91;j&#93;, B&#91;i&#93;&#91;j&#93; &lt;= V&#91;i&#93;&#91;j&#93;)\n                s.add(Or(B&#91;i&#93;&#91;j&#93; == T2&#91;i&#93;&#91;j&#93;, B&#91;i&#93;&#91;j&#93; == V&#91;i&#93;&#91;j&#93;))\n\n        add_minplus_eq_const(s, P, chef, V)\n        add_minplus_eq_const(s, R, U, cooker)\n        add_minplus_eq_const(s, S_mat, U, V)\n\n    if s.check() != sat:\n        raise ValueError(\"UNSAT\")\n    m = s.model()\n    chef_val = [[m[chef&#91;i&#93;&#91;j&#93;].as_long() for j in range(K_DIM)] for i in range(M_DIM)]\n    print(chef_val)\n    cooker_val = [[m[cooker&#91;i&#93;&#91;j&#93;].as_long() for j in range(N_DIM)] for i in range(K_DIM)]\n    return chef_val, cooker_val\n\n\ndef main():\n    io = remote(\"101.245.107.149\", 10020)\n    sigs = recv_two_signatures(io)\n    log.success(\"got 2 signatures\")\n\n    chef, cooker = recover_keys(sigs)\n    log.success(\"recovered chef\/cooker\")\n\n    io.sendlineafter(b\">>> \", b\"2\")\n    io.recvuntil(b\"Please make \")\n    target = io.recvuntil(b\" for me!\")&#91;:-8&#93;.decode()\n    M = get_M(target)\n\n    while True:\n        U = [&#91;random.randint(0, 255) for _ in range(K_DIM)&#93; for _ in range(N_DIM)]\n        V = [&#91;random.randint(0, 255) for _ in range(M_DIM)&#93; for _ in range(K_DIM)]\n        P = minplus_mul(chef, V)\n        R = minplus_mul(U, cooker)\n        S = minplus_mul(U, V)\n        A = minplus_add(minplus_mul(M, chef), U)\n        B = minplus_add(minplus_mul(cooker, M), V)\n        if A != U and B != V:\n            break\n\n    payload = {\"A\": A, \"B\": B, \"P\": P, \"R\": R, \"S\": S}\n    io.sendline(json.dumps(payload).encode())\n    io.interactive()\n\n\nif __name__ == \"__main__\":\n    main()<\/textarea><\/pre><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" style=\"width:24px;height:24px\" fill=\"none\" viewBox=\"0 0 24 24\" stroke=\"currentColor\" stroke-width=\"2\"><path class=\"with-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2m-6 9l2 2 4-4\"><\/path><path class=\"without-check\" stroke-linecap=\"round\" stroke-linejoin=\"round\" d=\"M9 5H7a2 2 0 00-2 2v12a2 2 0 002 2h10a2 2 0 002-2V7a2 2 0 00-2-2h-2M9 5a2 2 0 002 2h2a2 2 0 002-2M9 5a2 2 0 012-2h2a2 2 0 012 2\"><\/path><\/svg><\/span><pre class=\"shiki nord\" style=\"background-color: #2e3440ff\" tabindex=\"0\"><code><span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> pwn <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> z3 <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">*<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">from<\/span><span style=\"color: #D8DEE9FF\"> hashlib <\/span><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> sha3_512<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> json<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> random<\/span><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">import<\/span><span style=\"color: #D8DEE9FF\"> sys<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">context<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #D8DEE9FF\">log_level <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&#39;<\/span><span style=\"color: #A3BE8C\">info<\/span><span style=\"color: #ECEFF4\">&#39;<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> N_DIM<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> K_DIM <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">7<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">get_M<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">msg<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">str<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    h <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">sha3_512<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">msg<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">()).<\/span><span style=\"color: #88C0D0\">hexdigest<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    v <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #88C0D0\">int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">h<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">16<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">128<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #D8DEE9FF\">v<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i <\/span><span style=\"color: #81A1C1\">*<\/span><span style=\"color: #D8DEE9FF\"> M_DIM <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">minplus_mul<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">B<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> m<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> p <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #ECEFF4\">),<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;),<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">B<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #88C0D0\">min<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">k<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">k<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> k <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">))<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">p<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">minplus_add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">B<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #88C0D0\">min<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;))]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #ECEFF4\">))]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">parse_matrix<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">io<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">name<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">bytes<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">name <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\"> = <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">eval<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvline<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">decode<\/span><span style=\"color: #ECEFF4\">().<\/span><span style=\"color: #88C0D0\">strip<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">add_minplus_eq_const<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">s<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">out_const<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">left<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">right<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> mid<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> p <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">left<\/span><span style=\"color: #ECEFF4\">),<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">left<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;),<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">right<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">p<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            terms <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #D8DEE9FF\">left<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">t<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> right<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">t<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> t <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">mid<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> t <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> terms<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">out_const<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> t<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">Or<\/span><span style=\"color: #ECEFF4\">([<\/span><span style=\"color: #D8DEE9FF\">out_const<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> t <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> t <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> terms<\/span><span style=\"color: #ECEFF4\">]))<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">add_minplus_eq_var<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">s<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">out_var<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">left<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #D8DEE9\">right<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    n<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> mid<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> p <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">left<\/span><span style=\"color: #ECEFF4\">),<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">left<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;),<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">len<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">right<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">n<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">p<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            terms <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #D8DEE9FF\">left<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">t<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">+<\/span><span style=\"color: #D8DEE9FF\"> right<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">t<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> t <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">mid<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> t <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> terms<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">out_var<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> t<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">Or<\/span><span style=\"color: #ECEFF4\">([<\/span><span style=\"color: #D8DEE9FF\">out_var<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> t <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> t <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> terms<\/span><span style=\"color: #ECEFF4\">]))<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">recv_two_signatures<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">io<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    sigs <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">2<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">1<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Here is your <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        msg <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">!<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)&#91;:<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">1<\/span><span style=\"color: #ECEFF4\">&#93;.<\/span><span style=\"color: #88C0D0\">decode<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        A <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">parse_matrix<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">A<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        B <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">parse_matrix<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">B<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        P <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">parse_matrix<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">P<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        R <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">parse_matrix<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">R<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        S <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">parse_matrix<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">S<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        sigs<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">append<\/span><span style=\"color: #ECEFF4\">((<\/span><span style=\"color: #D8DEE9FF\">msg<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> P<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> R<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> S<\/span><span style=\"color: #ECEFF4\">))<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> sigs<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">recover_keys<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9\">sigs<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    s <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">Solver<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    chef <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #88C0D0\">Int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;chef_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    cooker <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #88C0D0\">Int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;cooker_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">chef<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&gt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> chef<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">255<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">cooker<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&gt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> cooker<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">255<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> idx<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">msg<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> P<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> R<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> S_mat<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">enumerate<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">sigs<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        M <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">get_M<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">msg<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        Mz <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #88C0D0\">IntVal<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        U <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #88C0D0\">Int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;U_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">idx<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        V <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #88C0D0\">Int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;V_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">idx<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">U<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&gt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> U<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">255<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">V<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&gt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">255<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        T1 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #88C0D0\">Int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;T1_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">idx<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">add_minplus_eq_var<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">s<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> T1<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> Mz<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> chef<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> T1<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> A<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> U<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">Or<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">A<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> T1<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> A<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> U<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;))<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        T2 <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #88C0D0\">Int<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">f<\/span><span style=\"color: #A3BE8C\">&quot;T2_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">idx<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">_<\/span><span style=\"color: #EBCB8B\">{<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #EBCB8B\">}<\/span><span style=\"color: #A3BE8C\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">add_minplus_eq_var<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">s<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> T2<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> cooker<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> Mz<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">):<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">B<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> T2<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">&lt;=<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">                s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">Or<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">B<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> T2<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;,<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;))<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">add_minplus_eq_const<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">s<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> P<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> chef<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">add_minplus_eq_const<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">s<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> R<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> U<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> cooker<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #88C0D0\">add_minplus_eq_const<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">s<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> S_mat<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> U<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">check<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> sat<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">raise<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #8FBCBB\">ValueError<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">UNSAT<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    m <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> s<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">model<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    chef_val <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #D8DEE9FF\">chef<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;].<\/span><span style=\"color: #88C0D0\">as_long<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">print<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">chef_val<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    cooker_val <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[[<\/span><span style=\"color: #D8DEE9FF\">m<\/span><span style=\"color: #ECEFF4\">[<\/span><span style=\"color: #D8DEE9FF\">cooker<\/span><span style=\"color: #ECEFF4\">&#91;<\/span><span style=\"color: #D8DEE9FF\">i<\/span><span style=\"color: #ECEFF4\">&#93;&#91;<\/span><span style=\"color: #D8DEE9FF\">j<\/span><span style=\"color: #ECEFF4\">&#93;].<\/span><span style=\"color: #88C0D0\">as_long<\/span><span style=\"color: #ECEFF4\">()<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> j <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> i <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">return<\/span><span style=\"color: #D8DEE9FF\"> chef_val<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> cooker_val<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">def<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">main<\/span><span style=\"color: #ECEFF4\">():<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    io <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">remote<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">101.245.107.149<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">10020<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    sigs <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">recv_two_signatures<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">io<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    log<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">success<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">got 2 signatures<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    chef<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> cooker <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">recover_keys<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">sigs<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    log<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">success<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">recovered chef\/cooker<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendlineafter<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">&gt;&gt;&gt; <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">2<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">Please make <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    target <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">recvuntil<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #81A1C1\">b<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\"> for me!<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">)&#91;:<\/span><span style=\"color: #81A1C1\">-<\/span><span style=\"color: #B48EAD\">8<\/span><span style=\"color: #ECEFF4\">&#93;.<\/span><span style=\"color: #88C0D0\">decode<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    M <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">get_M<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">target<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #81A1C1\">while<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">True<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        U <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #D8DEE9FF\">random<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">randint<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">255<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">N_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        V <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">[&#91;<\/span><span style=\"color: #D8DEE9FF\">random<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">randint<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #B48EAD\">0<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #B48EAD\">255<\/span><span style=\"color: #ECEFF4\">)<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M_DIM<\/span><span style=\"color: #ECEFF4\">)&#93;<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #81A1C1\">for<\/span><span style=\"color: #D8DEE9FF\"> _ <\/span><span style=\"color: #81A1C1\">in<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">range<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">K_DIM<\/span><span style=\"color: #ECEFF4\">)]<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        P <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">minplus_mul<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">chef<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        R <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">minplus_mul<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">U<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> cooker<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        S <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">minplus_mul<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">U<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        A <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">minplus_add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">minplus_mul<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">M<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> chef<\/span><span style=\"color: #ECEFF4\">),<\/span><span style=\"color: #D8DEE9FF\"> U<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        B <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #88C0D0\">minplus_add<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #88C0D0\">minplus_mul<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">cooker<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> M<\/span><span style=\"color: #ECEFF4\">),<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">)<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">        <\/span><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> A <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> U <\/span><span style=\"color: #81A1C1\">and<\/span><span style=\"color: #D8DEE9FF\"> B <\/span><span style=\"color: #81A1C1\">!=<\/span><span style=\"color: #D8DEE9FF\"> V<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">            <\/span><span style=\"color: #81A1C1\">break<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    payload <\/span><span style=\"color: #81A1C1\">=<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">{<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">A<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> A<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">B<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> B<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">P<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> P<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">R<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> R<\/span><span style=\"color: #ECEFF4\">,<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">S<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><span style=\"color: #D8DEE9FF\"> S<\/span><span style=\"color: #ECEFF4\">}<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">sendline<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">json<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">dumps<\/span><span style=\"color: #ECEFF4\">(<\/span><span style=\"color: #D8DEE9FF\">payload<\/span><span style=\"color: #ECEFF4\">).<\/span><span style=\"color: #88C0D0\">encode<\/span><span style=\"color: #ECEFF4\">())<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    io<\/span><span style=\"color: #ECEFF4\">.<\/span><span style=\"color: #88C0D0\">interactive<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><\/span>\n<span class=\"line\"><span style=\"color: #81A1C1\">if<\/span><span style=\"color: #D8DEE9FF\"> __name__ <\/span><span style=\"color: #81A1C1\">==<\/span><span style=\"color: #D8DEE9FF\"> <\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #A3BE8C\">__main__<\/span><span style=\"color: #ECEFF4\">&quot;<\/span><span style=\"color: #ECEFF4\">:<\/span><\/span>\n<span class=\"line\"><span style=\"color: #D8DEE9FF\">    <\/span><span style=\"color: #88C0D0\">main<\/span><span style=\"color: #ECEFF4\">()<\/span><\/span><\/code><\/pre><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>SUCTF2026\u4e2dSU_Lattice\u3001SU_Isogeny\u4ee5\u53caSU_Restaurant\u4e09\u9898\u7684Write UP<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[7,11,10],"class_list":["post-479","post","type-post","status-publish","format-standard","hentry","category-write-up","tag-crypto","tag-isogeny","tag-10"],"_links":{"self":[{"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/posts\/479","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/comments?post=479"}],"version-history":[{"count":7,"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/posts\/479\/revisions"}],"predecessor-version":[{"id":486,"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/posts\/479\/revisions\/486"}],"wp:attachment":[{"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/media?parent=479"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/categories?post=479"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.triode.cc\/index.php\/wp-json\/wp\/v2\/tags?post=479"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}