\u5728\u5b66\u4e60\u52a8\u6001\u89c4\u5212\u6cd5\u4e4b\u524d\uff0c\u6211\u4eec\u5148\u6765\u4e86\u89e3\u52a8\u6001\u89c4\u5212\u7684\u51e0\u4e2a\u6982\u5ff5
\n1\u3001 \u9636\u6bb5\uff1a\u628a\u95ee\u9898\u5206\u6210\u51e0\u4e2a\u76f8\u4e92\u8054\u7cfb\u7684\u6709\u987a\u5e8f\u7684\u51e0\u4e2a\u73af\u8282\uff0c\u8fd9\u4e9b\u73af\u8282\u5373\u79f0\u4e3a\u9636\u6bb5\u3002
\n2\u3001 \u72b6\u6001\uff1a\u67d0\u4e00\u9636\u6bb5\u7684\u51fa\u53d1\u4f4d\u7f6e\u79f0\u4e3a\u72b6\u6001\u3002
\n3\u3001 \u51b3\u7b56\uff1a\u4ece\u67d0\u9636\u6bb5\u7684\u4e00\u4e2a\u72b6\u6001\u6f14\u53d8\u5230\u4e0b\u4e00\u4e2a\u9636\u6bb5\u67d0\u72b6\u6001\u7684\u9009\u62e9\u3002
\n4\u3001 \u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff1a\u524d\u4e00\u9636\u6bb5\u7684\u7ec8\u70b9\u5c31\u662f\u540e\u4e00\u9636\u6bb5\u7684\u8d77\u70b9\uff0c\u524d\u4e00\u9636\u6bb5\u7684\u51b3\u7b56\u9009\u62e9\u5bfc\u51fa\u4e86\u540e\u4e00\u9636\u6bb5\u7684\u72b6\u6001\uff0c\u8fd9\u79cd\u5173\u7cfb\u63cf\u8ff0\u4e86\u7531k\u9636\u6bb5\u5230k+1\u9636\u6bb5\u72b6\u6001\u7684\u6f14\u53d8\u89c4\u5f8b\uff0c\u79f0\u4e3a\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u3002
\n\u52a8\u6001\u89c4\u5212\u6cd5\u7684\u5b9a\u4e49\uff1a\u5728\u6c42\u89e3\u95ee\u9898\u4e2d\uff0c\u5bf9\u4e8e\u6bcf\u4e00\u6b65\u51b3\u7b56\uff0c\u5217\u51fa\u5404\u79cd\u53ef\u80fd\u7684\u5c40\u90e8\u89e3\uff0c\u518d\u4f9d\u636e\u67d0\u79cd\u5224\u5b9a\u6761\u4ef6\uff0c\u820d\u5f03\u90a3\u4e9b\u80af\u5b9a\u4e0d\u80fd\u5f97\u5230\u6700\u4f18\u89e3\u7684\u5c40\u90e8\u89e3\uff0c\u5728\u6bcf\u4e00\u6b65\u90fd\u7ecf\u8fc7\u7b5b\u9009\uff0c\u4ee5\u6bcf\u4e00\u6b65\u90fd\u662f\u6700\u4f18\u89e3\u6765\u4fdd\u8bc1\u5168\u5c40\u662f\u6700\u4f18\u89e3\uff0c\u8fd9\u79cd\u6c42\u89e3\u65b9\u6cd5\u79f0\u4e3a\u52a8\u6001\u89c4\u5212\u6cd5\u3002
\n\u4e00\u822c\u6765\u8bf4\uff0c\u9002\u5408\u4e8e\u7528\u52a8\u6001\u89c4\u5212\u6cd5\u6c42\u89e3\u7684\u95ee\u9898\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a
\n1\u3001\u53ef\u4ee5\u5212\u5206\u6210\u82e5\u5e72\u4e2a\u9636\u6bb5\uff0c\u95ee\u9898\u7684\u6c42\u89e3\u8fc7\u7a0b\u5c31\u662f\u5bf9\u82e5\u5e72\u4e2a\u9636\u6bb5\u7684\u4e00\u7cfb\u5217\u51b3\u7b56\u8fc7\u7a0b\u3002
\n2\u3001\u6bcf\u4e2a\u9636\u6bb5\u6709\u82e5\u5e72\u4e2a\u53ef\u80fd\u72b6\u6001
\n3\u3001\u4e00\u4e2a\u51b3\u7b56\u5c06\u4f60\u4ece\u4e00\u4e2a\u9636\u6bb5\u7684\u4e00\u79cd\u72b6\u6001\u5e26\u5230\u4e0b\u4e00\u4e2a\u9636\u6bb5\u7684\u67d0\u79cd\u72b6\u6001\u3002
\n4\u3001\u5728\u4efb\u4e00\u4e2a\u9636\u6bb5\uff0c\u6700\u4f73\u7684\u51b3\u7b56\u5e8f\u5217\u548c\u8be5\u9636\u6bb5\u4ee5\u524d\u7684\u51b3\u7b56\u65e0\u5173\u3002
\n5\u3001\u5404\u9636\u6bb5\u72b6\u6001\u4e4b\u95f4\u7684\u8f6c\u6362\u6709\u660e\u786e\u5b9a\u4e49\u7684\u8d39\u7528\uff0c\u800c\u4e14\u5728\u9009\u62e9\u6700\u4f73\u51b3\u7b56\u65f6\u6709\u9012\u63a8\u5173\u7cfb\uff08\u5373\u52a8\u6001\u8f6c\u79fb\u65b9\u7a0b\uff09\u3002
\n\u52a8\u6001\u89c4\u5212\u6cd5\u6240\u5904\u7406\u7684\u95ee\u9898\u662f\u4e00\u4e2a\u591a\u9636\u6bb5\u6700\u4f18\u5316\u51b3\u7b56\u95ee\u9898\uff0c\u4e00\u822c\u7531\u521d\u59cb\u72b6\u6001\u5f00\u59cb\uff0c\u901a\u8fc7\u5bf9\u4e2d\u95f4\u9636\u6bb5\u51b3\u7b56\u7684\u9009\u62e9\uff0c\u8fbe\u5230\u7ed3\u675f\u72b6\u6001\u3002\u8fd9\u4e9b\u51b3\u7b56\u5f62\u6210\u4e86\u4e00\u4e2a\u51b3\u7b56\u5e8f\u5217\uff0c\u540c\u65f6\u786e\u5b9a\u4e86\u5b8c\u6210\u6574\u4e2a\u8fc7\u7a0b\u7684\u4e00\u6761\u6d3b\u52a8\u8def\u7ebf\u3002\u5982\u4e0b\u56fe\uff1a
\n\u52a8\u6001\u89c4\u5212\u8bbe\u8ba1\u90fd\u6709\u7740\u4e00\u5b9a\u7684\u6a21\u5f0f\uff0c\u4e00\u822c\u8981\u7ecf\u5386\u4ee5\u4e0b\u51e0\u4e2a\u6b65\u9aa4\uff1a
\n1\u3001\u5212\u5206\u9636\u6bb5\uff1a\u6309\u7167\u95ee\u9898\u7684\u65f6\u95f4\u6216\u7a7a\u95f4\u7279\u5f81\uff0c\u628a\u95ee\u9898\u5206\u4e3a\u82e5\u5e72\u4e2a\u9636\u6bb5\u3002
\n2\u3001\u786e\u5b9a\u72b6\u6001\uff1a\u5c06\u95ee\u9898\u53d1\u5c55\u5230\u5404\u4e2a\u9636\u6bb5\u65f6\u6240\u5904\u7684\u5404\u79cd\u5ba2\u89c2\u60c5\u51b5\u7528\u4e0d\u540c\u7684\u72b6\u6001\u8868\u793a\u51fa\u6765\u3002
\n3\u3001\u786e\u5b9a\u51b3\u7b56\u5e76\u5199\u51fa\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff1a\u56e0\u4e3a\u51b3\u7b56\u548c\u72b6\u6001\u8f6c\u79fb\u6709\u7740\u5929\u7136\u7684\u8054\u7cfb\uff0c\u72b6\u6001\u8f6c\u79fb\u5c31\u662f\u6839\u636e\u4e0a\u4e00\u9636\u6bb5\u7684\u72b6\u6001\u548c\u51b3\u7b56\u6765\u5bfc\u51fa\u672c\u9636\u6bb5\u7684\u72b6\u6001\uff0c\u6240\u4ee5\u5982\u679c\u786e\u5b9a\u4e86\u51b3\u7b56\uff0c\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u4e5f\u5c31\u53ef\u4ee5\u5199\u51fa\u3002
\n4\u3001\u5bfb\u627e\u8fb9\u754c\u6761\u4ef6\uff1a\u7ed9\u51fa\u7684\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u662f\u4e00\u4e2a\u9012\u63a8\u5f0f\uff0c\u9700\u8981\u4e00\u4e2a\u9012\u63a8\u7684\u7ec8\u6b62\u6761\u4ef6\u6216\u8fb9\u754c\u6761\u4ef6\u3002
\n5\u3001\u7a0b\u5e8f\u8bbe\u8ba1\u5b9e\u73b0\uff1a\u52a8\u6001\u89c4\u5212\u7684\u4e3b\u8981\u96be\u70b9\u5728\u4e8e\u7406\u8bba\u4e0a\u7684\u8bbe\u8ba1\uff0c\u4e00\u65e6\u8bbe\u8ba1\u5b8c\u6210\uff0c\u5b9e\u73b0\u90e8\u5206\u5c31\u4f1a\u975e\u5e38\u7b80\u5355\u3002
\n\u6839\u636e\u4ee5\u4e0a\u7684\u6b65\u9aa4\u8bbe\u8ba1\uff0c\u53ef\u4ee5\u5f97\u5230\u52a8\u6001\u89c4\u5212\u8bbe\u8ba1\u7684\u4e00\u822c\u6a21\u5f0f\uff1a
\nfor k:=\u9636\u6bb5\u6700\u5c0f\u503cto \u9636\u6bb5\u6700\u5927\u503cdo {\u987a\u63a8\u6bcf\u4e00\u4e2a\u9636\u6bb5}
\nfor I:=\u72b6\u6001\u6700\u5c0f\u503cto \u72b6\u6001\u6700\u5927\u503cdo {\u679a\u4e3e\u9636\u6bb5k\u7684\u6bcf\u4e00\u4e2a\u72b6\u6001}
\nfor j:=\u51b3\u7b56\u6700\u5c0f\u503cto \u51b3\u7b56\u6700\u5927\u503cdo {\u679a\u4e3e\u9636\u6bb5k\u4e2d\u72b6\u6001i\u53ef\u9009\u62e9\u7684\u6bcf\u4e00\u79cd\u51b3\u7b56}
\nf[ik]:=min\uff08max\uff09{f[ik-1]+a[ik-1\uff0cjk-1]|ik-1\u901a\u8fc7\u51b3\u7b56jk-1\u53ef\u8fbeik}
\n\u6709\u4e86\u4ee5\u4e0a\u7684\u8bbe\u8ba1\u6a21\u5f0f\uff0c\u5bf9\u4e8e\u7b80\u5355\u7684\u52a8\u6001\u89c4\u5212\u95ee\u9898\uff0c\u5c31\u53ef\u4ee5\u6309\u90e8\u5c31\u73ed\u5730\u8fdb\u884c\u52a8\u6001\u89c4\u5212\u8bbe\u8ba1\u3002
\n\u4f8b1\uff1a\u5408\u5531\u961f\u5f62\uff08noip2004tg\uff09
\n\u3010\u95ee\u9898\u63cf\u8ff0\u3011N\u4f4d\u540c\u5b66\u7ad9\u6210\u4e00\u6392\uff0c\u97f3\u4e50\u8001\u5e08\u8981\u8bf7\u5176\u4e2d\u7684(N-K)\u4f4d\u540c\u5b66\u51fa\u5217\uff0c\u4f7f\u5f97\u5269\u4e0b\u7684K\u4f4d\u540c\u5b66\u6392\u6210\u5408\u5531\u961f\u5f62\u3002\u5408\u5531\u961f\u5f62\u662f\u6307\u8fd9\u6837\u7684\u4e00\u79cd\u961f\u5f62\uff1a\u8bbeK\u4f4d\u540c\u5b66\u4ece\u5de6\u5230\u53f3\u4f9d\u6b21\u7f16\u53f7\u4e3a1, 2, \u2026, K\uff0c\u4ed6\u4eec\u7684\u8eab\u9ad8\u5206\u522b\u4e3aT1, T2, \u2026, TK\uff0c\u5219\u4ed6\u4eec\u7684\u8eab\u9ad8\u6ee1\u8db3T1 < T2 < \u2026 < Ti , Ti > Ti+1 > \u2026 > TK (1 \u3010\u8f93\u5165\u6587\u4ef6\u3011\u8f93\u5165\u6587\u4ef6chorus.in\u7684\u7b2c\u4e00\u884c\u662f\u4e00\u4e2a\u6574\u6570N\uff082 \u3010\u8f93\u51fa\u6587\u4ef6\u3011\u8f93\u51fa\u6587\u4ef6chorus.out\u5305\u62ec\u4e00\u884c\uff0c\u8fd9\u4e00\u884c\u53ea\u5305\u542b\u4e00\u4e2a\u6574\u6570\uff0c\u5c31\u662f\u6700\u5c11\u9700\u8981\u51e0\u4f4d\u540c\u5b66\u51fa\u5217\u3002
\n\u3010\u6837\u4f8b\u8f93\u5165\u30118
\n186 186 150 200 160 130 197 220
\n\u3010\u6837\u4f8b\u8f93\u51fa\u3011 4
\n\u7b97\u6cd5\u5206\u6790\uff1a\u6b64\u9898\u91c7\u7528\u52a8\u6001\u89c4\u5212\u6cd5\u6c42\u89e3\u3002\u5148\u5206\u522b\u4ece\u5de6\u5230\u53f3\u6c42\u6700\u5927\u4e0a\u5347\u5b50\u5e8f\u5217\uff0c\u4ece\u53f3\u5230\u5de6\u6c42\u6700\u5927\u4e0b\u964d\u5b50\u5e8f\u5217\uff0c\u518d\u679a\u4e3e\u4e2d\u95f4\u6700\u9ad8\u7684\u4e00\u4e2a\u4eba\u3002\u7b97\u6cd5\u5b9e\u73b0\u8d77\u6765\u4e5f\u5f88\u7b80\u5355\uff0c\u65f6\u95f4\u590d\u6742\u5ea6O(N^2)\u3002
\n\u6211\u4eec\u5148\u8003\u8651\u5982\u4f55\u6c42\u6700\u5927\u4e0a\u5347\u5b50\u5e8f\u5217\u7684\u957f\u5ea6\uff0c\u8bbef1(i)\u4e3a\u524di\u4e2a\u540c\u5b66\u7684\u6700\u5927\u4e0a\u5347\u5b50\u5e8f\u5217\u957f\u5ea6\u3002\u82e5\u8981\u6c42f1(i)\uff0c\u5fc5\u987b\u5148\u6c42\u5f97f1(1),f1(2),\u2026,f1(i-1)\uff0c\u518d\u9009\u62e9\u4e00\u4e2a\u6700\u5927\u7684f1(j)\uff08j<i\uff09\uff0c\u5728\u524dj\u4e2a\u6570\u4e2d\u7684\u6700\u5927\u4e0a\u5347\u5e8f\u540e\u6dfb\u52a0Ti\uff0c\u5c31\u53ef\u5f97\u5230\u524di\u4e2a\u6570\u7684\u6700\u5927\u4e0a\u5347\u5b50\u5e8f\u5217f1(i)\u3002\u8fd9\u6837\u5c31\u5f97\u5230\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff1a
\nf1(i)=max{f1(j)+1} (j<i,Tj<Ti)
\n\u8fb9\u754c\u6761\u4ef6\uff1af1(1)=1;
\n\u8bbef2(i)\u4e3a\u540e\u9762N-i+1\u4f4d\u6392\u5217\u7684\u6700\u5927\u4e0b\u964d\u5b50\u5e8f\u5217\u957f\u5ea6\uff0c\u7528\u540c\u6837\u7684\u65b9\u6cd5\u53ef\u4ee5\u5f97\u5230\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff1af2(i)=max{f2(j)+1} (i<j,Tj<Ti)\uff1b\u8fb9\u754c\u503c\u4e3af2(N)=1;
\n\u6709\u4e86\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff0c\u7a0b\u5e8f\u5b9e\u73b0\u5c31\u975e\u5e38\u5bb9\u6613\u4e86\u3002<\/p>\n
\u6e90\u7a0b\u5e8f\uff1a<\/p>\n
\r\nvar\r\n t,f1,f2:array[1..100]of byte;\r\n i,j,n,max:integer;\r\nbegin\r\n assign(input,\u2019chorus.in\u2019);\r\n reset(input); readln(n);\r\n for i:=1 to n do begin\r\nread(t[i]);f1[i]:=1;f2[i]:=1;\r\nend;{for}\r\n close(input); max:=0;\r\n for i:=2 to n do\r\n for j:=1 to i-1 do begin\r\n if (t[i]>t[j])and(f1[j]>=f1[i]) then f1[i]:=f1[j]+1; {\u4ece\u5de6\u5230\u53f3\u6c42\u6700\u5927\u4e0a\u5347\u5b50\u5e8f\u5217}\r\n if (t[n-i+1]>t[n-j+1])and(f2[n-j+1]>=f2[n-i+1]) then f2[n-i+1]:=f2[n-j+1]+1; {\u4ece\u53f3\u5230\u5de6\u6c42\u6700\u5927\u4e0b\u964d\u5b50\u5e8f\u5217}\r\n end;{for}\r\n for i:=1 to n do if max< f1[i]+f2[i] then max:=f1[i]+f2[i]; {\u679a\u4e3e\u4e2d\u95f4\u6700\u9ad8\u7684}\r\n assign(output,\u2019chorus.ans\u2019);\r\nrewrite(output);\r\n writeln(n-max+1);\r\nclose(output);\r\nend.\r\n<\/pre>\n\u8fd0\u7528\u52a8\u6001\u89c4\u5212\u6cd5\u6c42\u89e3\u95ee\u9898\u7684\u5173\u952e\u662f\u627e\u51fa\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff0c\u53ea\u8981\u627e\u51fa\u4e86\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff0c\u95ee\u9898\u5c31\u89e3\u51b3\u4e86\u4e00\u534a\uff0c\u5269\u4e0b\u7684\u4e8b\u60c5\u5c31\u662f\u89e3\u51b3\u5982\u4f55\u628a\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\u7528\u7a0b\u5e8f\u5b9e\u73b0\u3002
\n\u4f8b2\u3001\u4e58\u79ef\u6700\u5927\uff08noip2000tg\uff09
\n\u9898\u76ee\u5927\u610f\uff1a\u5728\u4e00\u4e2a\u957f\u5ea6\u4e3aN\u7684\u6570\u5b57\u4e32\u4e2d\u63d2\u5165r\u4e2a\u4e58\u53f7\uff0c\u5c06\u5b83\u5206\u6210r+1\u4e2a\u90e8\u5206\uff0c\u627e\u51fa\u4e00\u79cd\u5206\u6cd5\uff0c\u4f7f\u5f97\u8fd9r+1\u4e2a\u90e8\u5206\u7684\u4e58\u79ef\u6700\u5927\u3002
\n\u7b97\u6cd5\u5206\u6790\uff1a\u6b64\u9898\u6ee1\u8db3\u52a8\u6001\u89c4\u5212\u6cd5\u7684\u6c42\u89e3\u6807\u51c6\uff0c\u6211\u4eec\u628a\u5b83\u6309\u63d2\u5165\u7684\u4e58\u53f7\u6570\u6765\u5212\u5206\u9636\u6bb5\uff0c\u82e5\u63d2\u5165K\u4e2a\u4e58\u53f7\uff0c\u53ef\u628a\u95ee\u9898\u770b\u505a\u662fK\u4e2a\u9636\u6bb5\u7684\u51b3\u7b56\u95ee\u9898\u3002\u8bbef[i,k]\u8868\u793a\u5728\u524di\u4f4d\u6570\u4e2d\u63d2\u5165K\u4e2a\u4e58\u53f7\u6240\u5f97\u7684\u6700\u5927\u503c\uff0ca[i,j]\u8868\u793a\u4ece\u7b2ci\u4f4d\u5230\u7b2cj\u4f4d\u6240\u7ec4\u6210\u7684\u81ea\u7136\u6570\u3002\u7528f[i,k]\u5b58\u50a8\u9636\u6bb5K\u7684\u6bcf\u4e00\u4e2a\u72b6\u6001\uff0c\u53ef\u4ee5\u5f97\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff1a
\nf[i,k]=max{f[j,k-1]*a[j+1,i]}\uff08k<=j<=i\uff09
\n\u8fb9\u754c\u503c\uff1af[j,0]=a[1,j] (1<j<=i)
\n\u6839\u636e\u72b6\u6001\u8f6c\u79fb\u65b9\u7a0b\uff0c\u6211\u4eec\u5c31\u5f88\u5bb9\u6613\u5199\u51fa\u52a8\u6001\u89c4\u5212\u7a0b\u5e8f\uff1a<\/p>\n
\r\nfor k:=1 to r do\r\nfor i:=k+1 to n do\r\n for j:=k to I do\r\n if f[i,k]<f[j,k-1]*a[j+1,I] then f[i,k]:=f[j,k-1]*a[j+1,i]\r\n<\/pre>\n\u6e90\u7a0b\u5e8f\uff08\u7565\uff09\u3002
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