{"id":397427,"date":"2021-03-24T14:40:24","date_gmt":"2021-03-24T06:40:24","guid":{"rendered":"http:\/\/4563.org\/?p=397427"},"modified":"2021-03-24T14:40:24","modified_gmt":"2021-03-24T06:40:24","slug":"%e9%ab%98%e9%a2%91%e9%a2%98-%e9%9d%a2%e8%af%95%e7%bb%8f%e5%85%b8%e9%a2%98%e7%9b%ae%e5%88%b7%e9%a2%98%e7%ac%94%e8%ae%b0%ef%bc%8c%e4%b8%80%e5%91%a8%e4%b8%a4%e6%9b%b4","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=397427","title":{"rendered":"[\u9ad8\u9891\u9898] \u9762\u8bd5\u7ecf\u5178\u9898\u76ee\u5237\u9898\u7b14\u8bb0\uff0c\u4e00\u5468\u4e24\u66f4"},"content":{"rendered":"
\n
\n
\n

[\u9ad8\u9891\u9898] \u9762\u8bd5\u7ecf\u5178\u9898\u76ee\u5237\u9898\u7b14\u8bb0\uff0c\u4e00\u5468\u4e24\u66f4 <\/h1>\n

<\/p>\n

\n
\u8cc7\u6df1\u5927\u4f6c : youthes <\/span> <\/i> 0<\/span> <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n
\u4e0d\u5f97\u4e0d\u8bf4\uff0c\u5237\u9898\u5df2\u7ecf\u548c\u722c\u5c71\u3001\u6e9c\u5a03\u4e00\u6837\uff0c\u6210\u4e3a\u6e7e\u533a\u4e09\u4fd7\uff0c\u57fa\u672c\u51e0\u4e2a\u6e7e\u533a\u7684\u5de5\u7a0b\u5e08\u78b0\u5728\u4e00\u8d77\uff0c\u8ba8\u8bba\u7684\u8bdd\u9898\u603b\u8df3\u4e0d\u51fa\u8fd9\u4e2a\u5708\u3002\u722c\u5c71\uff0c\u54e6\u4e0d\uff0c\u5237\u9898\u4f5c\u4e3a\u4e00\u4e2a\u8d2f\u7a7f\u7801\u519c\u6574\u4e2a\u804c\u4e1a\u751f\u6daf\u7684\u5fc5\u987b\u54c1\uff08\u5c31\u7b97\u662f\u6211\u76ee\u524d\u5446\u7684\u5fae\u8f6f\u8c37\u6b4c\u8fd9\u79cd\u517b\u8001\u516c\u53f8\u4e5f\u603b\u5f97\u8df3\u4e00\u8df3\uff0c\u6bd5\u7adf\u96ea\u82b1\u7684\u5927\u5305\u88f9\u662f\u771f\u9999\u554a\uff09\uff0c\u51e0\u5e74\u6765\u57fa\u672c\u6bcf\u5929\u4e0d\u95f4\u65ad\u7684\u5237\uff0c\u7b97\u662f\u5bf9\u8fd9\u4e00\u5757\u7565\u6709\u5fc3\u5f97\u3002\u5e16\u5b50\u7684\u524d\u534a\u90e8\u5206\u60f3\u5206\u4eab\u4e00\u4e9b\u6211\u4f5c\u4e3a\u9762\u8bd5\u5b98\u7684\u5e38\u51fa\u7684\u4e00\u4e9b\u7ecf\u5178\u9898\u76ee\uff0c\u4ee5\u53ca\u9898\u76ee\u601d\u8def\u7684\u89e3\u6790\u4ee5\u53ca\u4e00\u4e9b\u540c\u7c7b\u9898\u7684\u5f52\u7eb3\uff0c\u5e16\u5b50\u7684\u540e\u534a\u90e8\u5206\u6211\u4f1a\u53c2\u8003\u575b\u53cb\u4eec\u7684\u7559\u8a00\u548c\u62cd\u7816\uff0c\u6765\u51b3\u5b9a\u540e\u9762\u7684\u8d70\u5411<\/p>\n

\u5e16\u5b50\u4f1a\u957f\u671f\u4fdd\u6301\u66f4\u65b0\uff0c\u53ea\u8981\u662f\u5e26\u5a03\u7684\u95f4\u9699\u5c31\u4f1a\u5077\u5077\u4e0a\u6765\u66f4\u4e00\u4e0b\uff0c\u5c3d\u91cf\u4fdd\u6301\u6bcf\u5468\u4e24\u66f4\u3002<\/p>\n

\u7531\u4e8e\u592a\u591a\u4eba\u52a0\u6211 VX\uff0c\u6211\u4e5f\u521b\u5efa\u4e86\u4e00\u4e2a\u7b97\u6cd5\u5de5\u4f5c\u4ea4\u6d41\u7fa4\uff0c\u5927\u5bb6\u611f\u5174\u8da3\u53ef\u4ee5\u52a0\u6211\u62c9\u4f60\u8fdb\u7fa4<\/p>\n

\u6211\u7684 VX\uff1asxxzs3998 \u4e0d\u7ba1\u662f\u5177\u4f53\u7684\u9898\u76ee\u8ba8\u8bba\u8fd8\u662f\u7ed9\u5e16\u5b50\u7684\u5efa\u8bae\u548c\u62cd\u7816\uff0c\u6216\u8005\u60f3\u8fdb\u7fa4\u90fd\u6b22\u8fce\u6dfb\u52a0\uff08\u8bb0\u5f97\u52a0\u6211\u8981\u5907\u6ce8 v2 \uff09 <\/p><\/div>\n

\u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (4<\/span>) <\/div>\n
<\/div>\n<\/p><\/div>\n<\/p><\/div>\n
    \n
  • \n
    \n
    \n
    \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : youthes <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u7b2c\u4e00\u5468\uff08\u9898\u76ee\u4e00\uff09 <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n
    \n
    \n
    \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : youthes <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u6709 n \u4e2a\u6c14\u7403\uff0c\u7f16\u53f7\u4e3a 0 \u5230 n – 1\uff0c\u6bcf\u4e2a\u6c14\u7403\u4e0a\u90fd\u6807\u6709\u4e00\u4e2a\u6570\u5b57\uff0c\u8fd9\u4e9b\u6570\u5b57\u5b58\u5728\u6570\u7ec4 nums \u4e2d\u3002
    \u73b0\u5728\u8981\u6c42\u4f60\u6233\u7834\u6240\u6709\u7684\u6c14\u7403\u3002\u6233\u7834\u7b2c i \u4e2a\u6c14\u7403\uff0c\u4f60\u53ef\u4ee5\u83b7\u5f97 nums[i – 1] * nums[i] * nums[i + 1] \u679a\u786c\u5e01\u3002 \u8fd9\u91cc\u7684 i – 1 \u548c i + 1 \u4ee3\u8868\u548c i \u76f8\u90bb\u7684\u4e24\u4e2a\u6c14\u7403\u7684\u5e8f\u53f7\u3002\u5982\u679c i – 1 \u6216 i + 1 \u8d85\u51fa\u4e86\u6570\u7ec4\u7684\u8fb9\u754c\uff0c\u90a3\u4e48\u5c31\u5f53\u5b83\u662f\u4e00\u4e2a\u6570\u5b57\u4e3a 1 \u7684\u6c14\u7403\u3002\u6c42\u6240\u80fd\u83b7\u5f97\u786c\u5e01\u7684\u6700\u5927\u6570\u91cf\u3002 <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n
    \n
    \n
    \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : youthes <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u7b2c\u4e00\u5468\uff08\u9898\u76ee\u4e00\uff09
    \u89e3\u9898\u601d\u8def<\/p>\n

    \u6211\u4eec\u6765\u770b\u4e00\u4e2a\u533a\u95f4\uff0c\u8fd9\u4e2a\u533a\u95f4\u7684\u6c14\u7403\u957f\u8fd9\u6837<\/p>\n

    \uff08\u84dd\u3001\u7eff\u3001\u7ea2\u3001\u7c89\u3001\u9ec4\uff09
    i j<\/p>\n

    \u5047\u8bbe\u8fd9\u4e2a\u533a\u95f4\u662f\u4e2a\u5f00\u533a\u95f4\uff0c\u6700\u5de6\u8fb9\u7d22\u5f15 i\uff0c\u6700\u53f3\u8fb9\u7d22\u5f15 j
    \u6211\u8fd9\u91cc\u8bf4 \u201c\u5f00\u533a\u95f4\u201d \u7684\u610f\u601d\u662f\uff0c\u6211\u4eec\u53ea\u80fd\u6233\u7206 i \u548c j \u4e4b\u95f4\u7684\u6c14\u7403\uff0ci \u548c j \u4e0d\u8981\u6233
    \u2002DP \u601d\u8def\u662f\u8fd9\u6837\u7684\uff0c\u5c31\u5148\u522b\u7ba1\u524d\u9762\u662f\u600e\u4e48\u6233\u7684\uff0c\u4f60\u53ea\u8981\u7ba1\u8fd9\u4e2a\u533a\u95f4\u6700\u540e\u4e00\u4e2a\u88ab\u6233\u7834\u7684\u662f\u54ea\u4e2a\u6c14\u7403
    \u8fd9\u6700\u540e\u4e00\u4e2a\u88ab\u6233\u7206\u7684\u6c14\u7403\u5c31\u662f k
    \u5047\u8bbe\u6700\u540e\u4e00\u4e2a\u88ab\u6233\u7206\u7684\u6c14\u7403\u662f\u7c89\u8272\u7684\uff0ck \u5c31\u662f\u7c89\u8272\u6c14\u7403\u7684\u7d22\u5f15
    \u7136\u540e\u7531\u4e8e k \u662f\u6700\u540e\u4e00\u4e2a\u88ab\u6233\u7206\u7684\uff0c\u6240\u4ee5\u5b83\u88ab\u6233\u7206\u4e4b\u524d\u7684\u573a\u666f\u662f\u4ec0\u4e48\u6837\u5b50\uff1f<\/p>\n

    \uff08\u84dd\u3001 \u3001 \u3001\u7c89\u3001\u9ec4\uff09
    i j<\/p>\n

    \u662f\u8fd9\u6837\u5b50\u7684\u670b\u53cb\u4eec\uff01\u56e0\u4e3a\u662f\u6700\u540e\u4e00\u4e2a\u88ab\u6233\u7206\u7684\uff0c\u6240\u4ee5\u5b83\u5468\u8fb9\u6ca1\u6709\u7403\u4e86\uff01\u6ca1\u6709\u7403\u4e86\uff01\u53ea\u6709\u8fd9\u4e2a\u5f00\u533a\u95f4\u9996\u5c3e\u7684 i \u548c j \u4e86\uff01\uff01
    \u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48 DP \u7684\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u662f\u53ea\u548c i \u548c j \u4f4d\u7f6e\u7684\u6570\u5b57\u6709\u5173
    \u5047\u8bbe dp[i][j] \u8868\u793a\u5f00\u533a\u95f4 (i,j) \u5185\u4f60\u80fd\u62ff\u5230\u7684\u6700\u591a\u91d1\u5e01
    \u90a3\u4e48\u8fd9\u4e2a\u60c5\u51b5\u4e0b
    \u4f60\u5728 (i,j) \u5f00\u533a\u95f4\u5f97\u5230\u7684\u91d1\u5e01\u53ef\u4ee5\u7531 dp[i][k] \u548c dp[k][j] \u8fdb\u884c\u8f6c\u79fb
    \u5982\u679c\u4f60\u6b64\u523b\u9009\u62e9\u6233\u7206\u6c14\u7403 k\uff0c\u90a3\u4e48\u4f60\u5f97\u5230\u7684\u91d1\u5e01\u6570\u91cf\u5c31\u662f\uff1a
    total=dp[i][k]+val[i] * val[k] * val[j]+dp[k][j]
    \u6ce8\uff1aval[i] \u8868\u793a i \u4f4d\u7f6e\u6c14\u7403\u7684\u6570\u5b57
    \u7136\u540e (i,k) \u548c (k,j) \u4e5f\u90fd\u662f\u5f00\u533a\u95f4<\/p>\n

    \u90a3\u4f60\u53ef\u80fd\u53c8\u60f3\u95ee\u4e86\uff0c\u6233\u7206\u7c89\u8272\u6c14\u7403\u6211\u80fd\u83b7\u5f97 val[i]*val[k]*val[j] \u8fd9\u4e48\u591a\u91d1\u5e01\u6211\u80fd\u7406\u89e3(\u56e0\u4e3a\u6233\u7206 k \u7684\u65f6\u5019\u53ea\u5269\u4e0b\u8fd9\u4e09\u4e2a\u6c14\u7403\u4e86)\uff0c
    \u4f46\u4e3a\u4ec0\u4e48\u524d\u540e\u53ea\u8981\u52a0\u4e0a dp[i][k] \u548c dp[k][j] \u7684\u503c\u5c31\u884c\u4e86\u5440\uff1f<\/p>\n

    \u56e0\u4e3a k \u662f\u6700\u540e\u4e00\u4e2a\u88ab\u6233\u7206\u7684\uff0c\u6240\u4ee5 (i,j) \u533a\u95f4\u4e2d k \u4e24\u8fb9\u7684\u4e1c\u897f\u5fc5\u7136\u662f\u5148\u5404\u81ea\u88ab\u6233\u7206\u4e86\u7684\uff0c\u5de6\u53f3\u4e24\u8fb9\u4e92\u4e0d\u5e72\u6270\uff0c\u5927\u5bb6\u53ef\u4ee5\u7ec6\u54c1\u4e00\u4e0b
    \u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u6211\u4eec DP \u65f6\u8981\u770b \u201c\u6700\u540e\u4e00\u4e2a\u88ab\u6233\u7206\u7684\u201d \u6c14\u7403\uff0c\u8fd9\u5c31\u662f\u4e3a\u4e86\u8ba9\u5de6\u53f3\u4e24\u8fb9\u4e92\u4e0d\u5e72\u6270\uff0c\u8fd9\u5927\u6982\u5c31\u662f\u4e00\u79cd\u5206\u6cbb\u7684\u601d\u60f3\u53ed<\/p>\n

    \u6240\u4ee5\u4f60\u628a (i,k) \u5f00\u533a\u95f4\u6240\u6709\u6c14\u7403\u6233\u7206\uff0c\u7136\u540e\u628a\u6233\u7206\u8fd9\u4e9b\u6c14\u7403\u7684\u6240\u6709\u91d1\u5e01\u90fd\u6536\u5165\u56ca\u4e2d\uff0c\u91d1\u5e01\u6570\u91cf\u8bb0\u5f55\u5728 dp[i][k]
    \u540c\u7406\uff0c(k,j) \u5f00\u533a\u95f4\u4f60\u4e5f\u5df2\u7ecf\u90fd\u6233\u7206\u4e86\uff0c\u94b1\u4e5f\u62ff\u4e86\uff0c\u8bb0\u5f55\u5728 dp[k][j]
    \u6240\u4ee5\u4f60\u628a\u8fd9\u4e9b\u4e4b\u524d\u5df2\u7ecf\u62ff\u5230\u7684\u94b1 dp[i][k]+dp[k][j] \u6536\u7740\uff0c
    \u518d\u52a0\u4e0a\u65b0\u8d5a\u7684\u94b1 val[i]*val[k]*val[j] \u4e0d\u5c31\u5f97\u5230\u4f60\u73b0\u5728\u6233\u7206\u6c14\u7403 k \u4e00\u5171\u624b\u4e0a\u80fd\u62ff\u591a\u5c11\u94b1\u4e86\u5417<\/p>\n

    \u800c\u4f60\u5728 (i,j) \u5f00\u533a\u95f4\u53ef\u4ee5\u9009\u7684 k \u662f\u6709\u591a\u4e2a\u7684\uff0c\u89c1\u4e00\u5f00\u5934\u7684\u56fe\uff0c\u9664\u4e86\u7c89\u8272\u4e4b\u5916\uff0c\u4f60\u8fd8\u53ef\u4ee5\u6233\u7eff\u8272\u548c\u7ea2\u8272
    \u6240\u4ee5\u4f60\u679a\u4e3e\u4e00\u4e0b\u8fd9\u51e0\u4e2a k\uff0c\u4ece\u4e2d\u9009\u62e9\u4f7f\u5f97 total \u503c\u6700\u5927\u7684\u5373\u53ef\u7528\u6765\u66f4\u65b0 dp[i][j]
    \u2002
    \u7136\u540e\u5462\uff0c\u4f60\u5c31\u4ece (i,j) \u5f00\u533a\u95f4\u53ea\u6709\u4e09\u4e2a\u6570\u5b57\u7684\u65f6\u5019\u5f00\u59cb\u8ba1\u7b97\uff0c\u50a8\u5b58\u6bcf\u4e2a\u5c0f\u533a\u95f4\u53ef\u4ee5\u5f97\u5230\u91d1\u5e01\u7684\u6700\u5927\u503c
    \u7136\u540e\u6162\u6162\u6269\u5c55\u5230\u66f4\u5927\u7684\u533a\u95f4\uff0c\u5229\u7528\u5c0f\u533a\u95f4\u91cc\u5df2\u7ecf\u7b97\u597d\u7684\u6570\u5b57\u6765\u7b97\u66f4\u5927\u7684\u533a\u95f4
    \u5c31\u53ef\u4ee5\u5566\uff01 <\/div>\n<\/p><\/div>\n<\/li>\n

  • \n
    \n
    \n
    \u4e3b<\/span> \u8cc7\u6df1\u5927\u4f6c : youthes <\/span> <\/div>\n
    <\/i> <\/span> <\/div>\n<\/p><\/div>\n
    \u7b2c\u4e00\u5468\uff08\u9898\u76ee\u4e8c\uff09
    \u7ed9\u4f60\u4e00\u4e2a\u4e8c\u7ef4\u6574\u6570\u6570\u7ec4 envelopes\uff0c\u5176\u4e2d envelopes[i] = [wi, hi] \uff0c\u8868\u793a\u7b2c i \u4e2a\u4fe1\u5c01\u7684\u5bbd\u5ea6\u548c\u9ad8\u5ea6\u3002\u5f53\u53e6\u4e00\u4e2a\u4fe1\u5c01\u7684\u5bbd\u5ea6\u548c\u9ad8\u5ea6\u90fd\u6bd4\u8fd9\u4e2a\u4fe1\u5c01\u5927\u7684\u65f6\u5019\uff0c\u8fd9\u4e2a\u4fe1\u5c01\u5c31\u53ef\u4ee5\u653e\u8fdb\u53e6\u4e00\u4e2a\u4fe1\u5c01\u91cc\u3002\u8bf7\u8ba1\u7b97 \u6700\u591a\u80fd\u6709\u591a\u5c11\u4e2a \u4fe1\u5c01\u80fd\u7ec4\u6210\u4e00\u7ec4\u8fd9\u6837\u7684\u4fe1\u5c01\uff08\u5373\u53ef\u4ee5\u628a\u4e00\u4e2a\u4fe1\u5c01\u653e\u5230\u53e6\u4e00\u4e2a\u4fe1\u5c01\u91cc\u9762\uff09\u3002\u6ce8\u610f\uff1a\u4e0d\u5141\u8bb8\u65cb\u8f6c\u4fe1\u5c01\u3002 <\/div>\n<\/p><\/div>\n<\/li>\n
  • \n","protected":false},"excerpt":{"rendered":"

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