HDU - 1087 Super Jumping! Jumping! Jumping!(最长递增子序列)

xiaoxiao2021-02-28  87

题目大意:棋子要从 star 跳到 end,每个位置都有一个值,要求每次移动时值都递增,且不能返回,把 star 看作无穷小, end 看作无穷大,输出最大和。 解题思路:LIS 水过 dp 记录到达当前位置时最大和

#include<iostream> #include<stdio.h> #include<algorithm> #include<cmath> #include<string.h> #include<string> #include<queue> #include<map> #define max(a,b) ((a)>(b)?(a):(b)) #define min(a,b) ((a)<(b)?(a):(b)) const int INF = 0x3f3f3f3f; const int NINF = -INF -1; const int MAXN = 1000+5; using namespace std; int num[MAXN], dp[MAXN]; int n, ans; int main() { while (scanf("%d", &n) && n) { memset(dp, 0, sizeof(dp)); for (int i = 0; i < n; i++) scanf("%d", &num[i]); dp[0] = num[0]; ans = 0; for (int i = 1; i < n; i++) { dp[i] = num[i]; for (int j = 0; j < i; j++) if (num[j] < num[i]) dp[i] = max(dp[j]+num[i], dp[i]); // printf("%d %d\n", i, dp[i]); if (dp[i] > ans) ans = dp[i]; } printf("%d\n", ans); } return 0; }
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