10131 - Is Bigger Smarter?(简单动规)
2013-06-03 16:48
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做的时候注意题意就好了。
题目要求的是w[i]<w[j]的同时s[i]>s[j],
我开始的时候排序后直接用s数组比较的,所以错了一遍,正确做法应该是w和s都要比较。因为w数组排序后有相等的情况
状态:d[i]表示以i为终点的最长路径长度。
状态转移:d[i] = max{d[j]+1 | w[i]<w[j]&&s[i]>s[j]};
代码如下:
题目要求的是w[i]<w[j]的同时s[i]>s[j],
我开始的时候排序后直接用s数组比较的,所以错了一遍,正确做法应该是w和s都要比较。因为w数组排序后有相等的情况
状态:d[i]表示以i为终点的最长路径长度。
状态转移:d[i] = max{d[j]+1 | w[i]<w[j]&&s[i]>s[j]};
代码如下:
#include <cstdio> #include <cstring> #include <algorithm> using namespace std; #define M 1005 int n, ans, ansx, w[M], s[M], sor[M], dp[M], pa[M]; int cmp(const int a, const int b) { return w[a]<w[b]; } void solve() { for(int i = 0; i < n; i++) {dp[i] = 1; pa[i] = -1;} for(int i = 1; i < n; i++) for(int j = 0; j < i; j++) { int x1 = sor[j], x2 = sor[i]; if(s[x1]>s[x2]&&w[x1]<w[x2]) { if(dp[i]<dp[j]+1) {dp[i] = dp[j]+1; pa[i] = j;}} } ans = 0; for(int i = 0; i < n; i++) if(ans<dp[i]) {ans = dp[i]; ansx = i;} } void print_ans(int cur) { if(cur == -1) return; else {print_ans(pa[cur]); printf("%d\n",sor[cur]+1);} } int main () { n = 0; while(~scanf("%d %d",&w ,&s )) n++; for(int i = 0; i < n; i++) sor[i] = i; sort(sor,sor+n,cmp); solve(); printf("%d\n",ans); print_ans(ansx); return 0; }
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