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POJ 1179 Polygon

时间:2018-03-19 11:41:42      阅读:160      评论:0      收藏:0      [点我收藏+]

标签:cstring   cpp   inf   i++   printf   turn   fine   code   body   

区间DP

拆链成环,然后区间DP即可,注意初始化,以及每个地方都要遍历到

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <cmath>
#define inf 0x3f3f
using namespace std;
int num[205], dp[205][205][2], n;
char opt[205];
int main() {
    cin >> n;
    for(int i = 1; i <= 2 * n; i++) {
        for(int j = 1; j <= 2 * n; j++) 
            dp[i][j][1] = -inf, dp[i][j][0] = inf;
    }
    for(int i = 1; i <= n; i++) {
        scanf(" %c ", &opt[i]);
        opt[i + n] = opt[i];
        cin >> num[i];
        num[i + n] = num[i];
        dp[i][i][0] = dp[i][i][1] = num[i];
        dp[i + n][i + n][0] = dp[i + n][i + n][1] = num[i];
    }
    for(int k = 2; k <= n; k++) {
        for(int i = 1; i + k - 1 <= 2 * n; i++) {
            int j = i + k - 1;
            for(int t = i; t < j; t++) {
                if(opt[t + 1] == 'x') {
                    dp[i][j][1] = max(dp[i][j][1], dp[i][t][1] * dp[t + 1][j][1]);
                    dp[i][j][1] = max(dp[i][j][1], dp[i][t][0] * dp[t + 1][j][0]);
                    dp[i][j][0] = min(dp[i][j][0], dp[i][t][0] * dp[t + 1][j][0]);
                    dp[i][j][0] = min(dp[i][j][0], dp[i][t][1] * dp[t + 1][j][0]);
                    dp[i][j][0] = min(dp[i][j][0], dp[i][t][0] * dp[t + 1][j][1]);
                }else {
                    dp[i][j][1] = max(dp[i][j][1], dp[i][t][1] + dp[t + 1][j][1]);
                    dp[i][j][0] = min(dp[i][j][0], dp[i][t][0] + dp[t + 1][j][0]);
                }
            }
        }
    }
    int ans = 0;
    /*for(int k = 1; k <= n; k++) {
        for(int i = 1; i + k - 1 <=  2 * n; i++) {
            int j = i + k - 1;
            printf("%d ", dp[i][j][1]);
        }
        printf("\n");
    }
    printf("\n");*/
    for(int i = 1; i <= n; i++) {
        ans = max(ans, dp[i][i + n - 1][1]);
    }
    cout << ans << endl;
    for(int i = 1; i <= n; i++) {
        if(ans == dp[i][i + n - 1][1]) cout << i << " ";
    }
    cout << endl;
    return 0;
}

POJ 1179 Polygon

标签:cstring   cpp   inf   i++   printf   turn   fine   code   body   

原文地址:https://www.cnblogs.com/Mr-WolframsMgcBox/p/8600760.html

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