{"id":405,"date":"2023-09-17T12:55:51","date_gmt":"2023-09-17T12:55:51","guid":{"rendered":"http:\/\/www.luo666.com\/?p=405"},"modified":"2023-09-17T13:38:40","modified_gmt":"2023-09-17T13:38:40","slug":"%e5%93%88%e5%a4%ab%e6%9b%bc%e6%a0%91%e6%b1%82%e9%9d%9e%e5%8f%b6%e5%ad%90%e8%8a%82%e7%82%b9%e4%b8%aa%e6%95%b0","status":"publish","type":"post","link":"http:\/\/www.luo666.com\/?p=405","title":{"rendered":"\u54c8\u592b\u66fc\u6811\u6c42\u975e\u53f6\u5b50\u8282\u70b9\u4e2a\u6570"},"content":{"rendered":"\n

\u6709\u8fd9\u6837\u4e00\u4e2a\u9762\u8bd5\u9898\uff1a\u5df2\u77e5\u54c8\u592b\u66fc\u6811\u6709121\u4e2a\u53f6\u5b50\u8282\u70b9\uff0c\u6c42\u975e\u53f6\u5b50\u8282\u70b9\u7684\u4e2a\u6570<\/p>\n\n\n\n

\u6ca1\u63a5\u89e6\u8fc7\u76f8\u5173\u6982\u5ff5\u6216\u8005\u5fd8\u4e86\u7684\uff0c\u6211\u7a0d\u5fae\u7528\u767d\u8bdd\u89e3\u91ca\u4e0b\uff1a<\/p>\n\n\n\n

\u54c8\u592b\u66fc\u6811\uff1a\u5c06N\u4e2a\u6570\u636e\u7ed3\u6784\u5f53\u53f6\u5b50\u8282\u70b9\uff0c\u4ee5\u5176\u67d0\u4e2a\u57df\u7684\u503cV\u4f5c\u4e3a\u6743\u91cd\uff0c\u628a\u8fd9\u4e9b\u53f6\u5b50\u8282\u70b9\u7ec4\u5408\u6210\u4e00\u68f5\u6811\uff08N\u4e2a\u8282\u70b9\u90fd\u8981\u5b58\u5728\u4e14\u4ec5\u4f5c\u4e3a\u53f6\u5b50\u8282\u70b9\uff09\uff0c\u4f7f\u5f97\u6240\u6709\u53f6\u5b50\u8282\u70b9\u5230\u6811\u6839\u7684\u52a0\u6743\u8def\u5f84\u548c\u6700\u5c0f\uff0c\u5373\u8ddd\u79bbD*V\u7684\u603b\u548c\u6700\u5c0f\n\u6811\u7684\u5ea6\uff1a\u6811\u4e2d\u67d0\u4e2a\u8282\u70b9\u6700\u591a\u6709\u51e0\u4e2a<\/pre>\n\n\n\n
\u4e3e\u4f8b\u6765\u8bf4\uff0c\u5982\u679c\u7ed9\u5b9a\u5217\u8868[1,2,3,4,5]\uff0c\u7ec4\u6210\u4e00\u68f5\u5ea6\u4e3a2\u7684\u54c8\u592b\u66fc\u6811\uff0c\u6709\u5982\u4e0b\u6b65\u9aa4\uff1a<\/p>\n\n\n\n
1\u3001\u4ece\u4e2d\u9009\u62e92\u4e2a\u6700\u5c0f\u7684\u6784\u6210\u4e00\u68f5\u6811\uff0c\u5e76\u8ba1\u7b97\u6784\u6210\u540e\u7684\u6811\u7684\u6743\uff0c1 + 2 = 3\n2\u3001\u5c06\u65b0\u6784\u6210\u7684\u6811\u91cd\u65b0\u52a0\u5165\u5217\u8868\u5f97\u5230\uff1a[4,5,3(1,2)]\n3\u3001\u5982\u679c\u65b0\u7684\u5217\u8868\u5927\u4e8e2\uff08\u5ea6\uff09\uff0c\u8df3\u8f6c\u5230\u6b65\u9aa41\uff0c\u5426\u5219\u5269\u4f59\u8282\u70b9\u5168\u90e8\u52a0\u5165\u4e00\u4e2a\u6839\u8282\u70b9\uff0c\u5b8c\u6210\u6784\u5efa<\/pre>\n\n\n\n
\u6709\u4e86\u8fd9\u4e9b\u57fa\u672c\u6982\u5ff5\u540e\uff0c\u5982\u4f55\u6c42\u89e3\u5462\uff0c\u6211\u4eec\u5148\u95ee\u4e0bGPT\u770b\u770b<\/p>\n\n\n\n
GPT-4\u7ed9\u51fa\u7684\u516c\u5f0f\u548c\u63a8\u5bfc\u8fc7\u7a0b\u5982\u4e0b\uff1a<\/p>\n\n\n\n
\u9996\u5148\uff0c\u5047\u8bbe\u4e00\u68f5\u5ea6\u4e3am\u7684\u54c8\u592b\u66fc\u6811\u6709n\u4e2a\u53f6\u5b50\u8282\u70b9\uff0cx\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\uff0c\u90a3\u4e48\u5b83\u7684\u603b\u8282\u70b9\u6570\u4e3an+x\u3002\n\u5176\u6b21\uff0c\u89c2\u5bdf\u8fd9\u68f5\u6811\u7684\u7ed3\u6784\uff0c\u53ef\u4ee5\u53d1\u73b0\u9664\u4e86\u6839\u8282\u70b9\u5916\uff0c\u6bcf\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\u90fd\u6709m\u4e2a\u5b50\u8282\u70b9\uff0c\u800c\u6bcf\u4e2a\u53f6\u5b50\u8282\u70b9\u90fd\u6ca1\u6709\u5b50\u8282\u70b9\u3002\u6240\u4ee5\uff0c\u8fd9\u68f5\u6811\u7684\u603b\u5206\u652f\u6570\u4e3axm+0n\uff0c\u4e5f\u5c31\u662fxm\u3002\n\u518d\u6b21\uff0c\u7531\u6811\u7684\u57fa\u672c\u6027\u8d28\u53ef\u77e5\uff0c\u4e00\u68f5\u6709k\u4e2a\u8282\u70b9\u7684\u6811\uff0c\u5b83\u7684\u5206\u652f\u6570\u7b49\u4e8ek-1\u3002\n\u6240\u4ee5\uff0c\u8fd9\u68f5\u6811\u7684\u603b\u5206\u652f\u6570\u4e5f\u53ef\u4ee5\u8868\u793a\u4e3an+x-1\u3002 \u6700\u540e\uff0c\u5c06\u4e0a\u9762\u4e24\u4e2a\u7b49\u5f0f\u8054\u7acb\uff0c\u5f97\u5230xm=n+x-1\uff0c\u89e3\u5f97x=\u2308(n-1)\/ (m-1)\u2309\u3002<\/pre>\n\n\n\n
\n
\u8fd9\u4e2a\u56de\u7b54\u6709\u542f\u53d1\u610f\u4e49\uff0c\u4f46\u4ecd\u7136\u6ca1\u6709\u89e3\u91ca\u6e05\u695a\uff0c\u81f3\u5c11\u6709\u4e24\u4e2a\u7591\u95ee\uff1a<\/p>\n\n\n\n
\n
1\uff09\u6bcf\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\u90fd\u6709m\u4e2a\u5b50\u8282\u70b9\u5417\uff1f2\uff09\u6700\u540e\u4e3a\u4f55\u8981\u5411\u4e0a\u53d6\u6574\uff1f<\/p>\n<\/div><\/div>\n\n\n\n
\u7b2c\u4e00\u4e2a\u95ee\u9898\u7684\u7b54\u6848\u663e\u7136\u662f\u5426\u5b9a\u7684\uff0c\u6bd4\u5982\u53f6\u5b50\u8282\u70b9\u4e3a4\u3001\u5ea6\u4e3a3\u7684\u54c8\u592b\u66fc\u6811\uff0c\u4e00\u5b9a\u6709\u4e00\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\u6709\u4e24\u4e2a\u5b50\u8282\u70b9\u800c\u4e0d\u662f3\u4e2a\uff1b\u800c\u7b2c\u4e8c\u4e2a\u95ee\u9898\u7b54\u6848\u662f\uff1a\u5411\u4e0a\u53d6\u6574\u5c31\u662f\u89e3\u51b3\u4e0a\u8ff0\u4f8b\u5916\u7684\u3002<\/p>\n<\/div><\/div>\n\n\n\n
\n
\n
\u5177\u4f53\u7684\uff0c\u6211\u4eec\u6613\u5f97\u5982\u4e0b\u4e24\u4e2a\u65ad\u8a00\uff1a<\/p>\n\n\n\n
1\uff09\u5982\u679c\u6709\u975e\u53f6\u5b50\u8282\u70b9\u4e0d\u6ee1\uff0c\u90a3\u4e48\u4ec5\u6709\u4e00\u4e2a\u4e0d\u6ee1\u7684\u975e\u53f6\u5b50\u8282\u70b9\uff1b\u56e0\u4e3a\u540c\u7ea7\u522b\u5408\u5e76\u4e0d\u6539\u53d8\u7ed3\u679c\uff0c\u800c\u5411\u4e0a\u5408\u5e76\u53ef\u4ee5\u51cf\u5c11\u5c42\u7ea7\u4ece\u800c\u51cf\u5c11\u52a0\u6743\u8def\u5f84\u603b\u548c\u3002<\/p>\n\n\n\n
2\uff09\u4e0d\u6ee1\u7684\u975e\u53f6\u5b50\u8282\u70b9\u7684\u5b50\u8282\u70b9\u6570\u91cf\u53ea\u4f1a\u5728[2,m-1]\u8fd9\u4e2a\u95ed\u533a\u95f4\u4e4b\u5185\uff0c\u6ca1\u6709\u53ea\u6709\u4e00\u4e2a\u5b50\u8282\u70b9\u7684\u975e\u53f6\u5b50\u8282\u70b9\uff1b\u56e0\u4e3a\u4e00\u4e2a\u5b50\u8282\u70b9\u7684\u975e\u53f6\u5b50\u8282\u70b9\u5b8c\u5168\u53ef\u4ee5\u88ab\u4ed6\u7684\u5b50\u8282\u70b9\u76f4\u63a5\u66ff\u6362\uff0c\u8fd8\u80fd\u51cf\u5c11\u4e00\u4e2a\u5c42\u7ea7\uff0c\u8fdb\u800c\u51cf\u5c11\u52a0\u6743\u8def\u5f84\u548c\u3002<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n
\u4e8e\u662f\uff0c\u8865\u9f50\u8fd9\u4e2a\u4e0d\u6ee1\u7684\u8282\u70b9\u53ef\u5f97\u7684\u51c6\u786e\u7684\u8868\u8fbe\u5f0f\u53ca\u5176\u63a8\u5bfc\u5f62\u5f0f\uff1a<\/p>\n\n\n\n
x * m = n + y + x - 1\nx = ((n-1)+y)\/(m-1)<\/pre>\n\n\n\n
\u6839\u636e\u524d\u8ff0\u4e24\u4e2a\u65ad\u8a00\uff0c\u8865\u9f50\u7684y\u4e2a\u8282\u70b9\uff0c\u6570\u91cf\u5728[0,m-2]\u95ed\u533a\u95f4\u5185\uff0c\u53ef\u4ee5\u4e0d\u9700\u8981\u8865\u9f50\uff0c\u4f46\u7edd\u5bf9\u4e0d\u4f1a\u8865\u9f50m-1\u4e2a\uff08\u65ad\u8a00\u4e8c\uff09\uff0c\u4f46\u6ce8\u610fy\u4e0d\u7b49\u4e8en%m\uff0c\u4ee5\u53f6\u5b50\u8282\u70b95\u3001\u5ea63\u7684\u54c8\u592b\u66fc\u6811\u4e3a\u4f8b\uff0c\u4e0d\u9700\u8981\u8865\u9f50\uff08\u7b2c\u4e00\u5c423\u4e2a\u8282\u70b9\uff0c\u4e24\u4e2a\u53f6\u5b50\u8282\u70b9\uff0c\u7b2c\u4e8c\u5c42\u4e09\u4e2a\u53f6\u5b50\u8282\u70b9\uff09\uff0c\u800c\u4e0d\u662f\u9700\u8981\u8865\u9f502\u4e2a\u3002\u800c\u8865\u9f50\u7684\u6700\u7ec8\u76ee\u7684\u5c31\u662f\u4e3a\u4e86\u8ba9\u6bcf\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\u53ef\u4ee5\u6709m\u4e2a\u5b50\u8282\u70b9\uff0c\u6240\u4ee5\u5bf9(n-1)\/(m-1)\u5411\u4e0a\u53d6\u6574\u5373\u53ef\u4ee5\u8fbe\u5230\u76ee\u7684\uff0c\u6c42\u51fa\u6700\u5c11\u6ee1\u8db3\u6761\u4ef6\u7684x\u3002<\/p>\n\n\n\n
<\/p>\n\n\n\n
\u8fd8\u6709\u4e00\u79cd\u5229\u7528\u6784\u5efa\u89c4\u5f8b\u6765\u8ba1\u7b97\u7684\u65b9\u6cd5\uff0c\u6bd4\u5982\u6bcf\u4e00\u8f6e\u5408\u5e76\u540e\u90fd\u4f1a\u4ecen\u4e2a\u8282\u70b9\u5185\u5148\u6263\u9664m\u4e2a\u8282\u70b9\u518d\u52a0\u5165\u4e00\u4e2a\u975e\u53f6\u5b50\u8282\u70b9\uff0c\u90a3\u4e48\u53ef\u4ee5\u7528(n-1)\/(m-1)\u518d\u5411\u4e0a\u53d6\u6574\u6765\u8ba1\u7b97\u3002\u8fd9\u79cd\u65b9\u5f0f\u5f97\u51fa\u7684\u516c\u5f0f\u4e00\u81f4\uff0c\u4f46\u662f\u5f88\u96be\u89e3\u91can-1\u4ee5\u53ca\u5411\u4e0a\u53d6\u6574\u3002\u800c\u4e14\uff0c\u5f53\u5ea6\u5927\u4e8e\u7b49\u4e8e3\u65f6\uff0c\u54c8\u592b\u66fc\u6811\u7684\u6784\u5efa\u5df2\u7ecf\u4e0d\u80fd\u76f4\u63a5\u627eM\u4e2a\u6700\u5c0f\u8282\u70b9\u5408\u5e76\u4e86\uff0c\u9700\u8981\u52a0\u5165\u4e00\u4e9b\u5360\u4f4d\u8282\u70b9\u8865\u9f50\uff0c\u4f8b\u5982[1,1,1,1,1,1]\u8fd9\u4e2a\u6570\u5217\uff0c\u5982\u679c\u6309\u6700\u5c0fM\u5408\u5e76\u65b9\u6cd5\uff0c\u5c06\u5f97\u5230[6,3(1,1,1),3(1,1,1)]\u8fd9\u68f5\u975e\u5e38\u5bf9\u79f0\u7684\u6811\uff0c\u4f46\u4ed6\u7684\u52a0\u6743\u8def\u5f84\u548c12\u4e0d\u662f\u6700\u5c0f\u7684\uff0c\u800c\u52a0\u5165\u4e00\u4e2a\u5360\u4f4d\u8282\u70b90\uff0c\u5f97\u5230[0,1,1,1,1,1,1]\uff0c\u518d\u5229\u7528\u6700\u5c0fM\u4e2a\u8282\u70b9\u5408\u5e76\u6cd5\uff0c\u5c06\u5f97\u5230[6,1,2(0,1,1),3(1,1,1)]\uff0c\u4ed6\u7684\u52a0\u6743\u8def\u5f84\u548c\u4e3a11\uff0c\u6bd4\u524d\u9762\u7684\u66f4\u5c0f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
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