HDU 1160

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题目大意:要证明老鼠越胖,跑的越慢。求最长的证明证据。每一行输入老鼠体重,速度,以文件结束跳出。

解题思路:将所有输入的老鼠,按输入顺序编号。然后按体重重优先与速度慢(体重轻优先与速度快)排序。然后用类似HDU1069长宽比较的方式,只是这里是,体重大于他之前,且速度慢与他之前,且只要算数量,但是要pre标记前一个编号为几。用于最后输出。

ac代码:

#include <iostream>#include <algorithm>using namespace std;struct node{int num;int weight;int speed;}mice[1005];int cnt=0, dp[1005], pre[1005], Max, temp, a[1005];bool compare(node a, node b){if (a.weight != b.weight)return a.weight < b.weight;if (a.speed != b.speed)return a.speed > b.speed;return a.num < b.num;}int main(){while (scanf("%d%d", &mice[cnt].weight, &mice[cnt].speed)!=EOF)mice[cnt].num = cnt + 1, dp[cnt++] = 1;sort(mice, mice+cnt, compare);for (int i=0; i<cnt; i++){pre[mice[i].num] = mice[i].num;for (int j=i-1; j>=0; j--)if (mice[j].weight < mice[i].weight && mice[j].speed > mice[i].speed){if (dp[i] < dp[j]+1)pre[mice[i].num] = mice[j].num;dp[i] = max(dp[i], dp[j]+1);}}Max = dp[0];temp = mice[0].num;for (int i=1; i<cnt; i++)if (Max < dp[i]){Max = dp[i];temp = mice[i].num;}printf("%d\n", Max);for (int i=0; i<Max; i++){a[i] = temp;temp = pre[temp];}for (int i=0; i<Max; i++)printf("%d\n", a[Max-i-1]);return 0;}