2050编程 冰水挑战(dp)

经过自己的理解及找bug,写了不同含义的dp数组(每次结束时dp[i][j]包括当前次的c[i]),巩固了dp理解......

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;
typedef long long ll;
const int maxn = 1e3 + 10;
ll dp[maxn][maxn];
const int INF = 0x3f3f3f3f;
ll a[maxn], b[maxn], c[maxn];
int N, C;


int main()
{
    int T;
    cin >> T;
    while(T--)
    {
        scanf("%d%d", &N, &C);
        for(int i = 1; i <= N; i++)
        {
            scanf("%d%d%d", &a[i], &b[i], &c[i]);
        }
        for(int i = 0; i <= N; i++)
        {
            for(int j = 0; j <= N; j++)
            {
                dp[i][j] = -INF;
            }
        }
        dp[0][0] = C;
        a[0] = 0;
        b[0] = 0;
        c[0] = 0;

        for(int i = 1; i <= N; i++)
        {
            for(int j = 0; j <= i; j++)
            {
                if(j)
                {
                    if(dp[i - 1][j - 1] >= 0)
                    {
                        int t = min(dp[i - 1][j - 1], b[i]);
                        if(t > a[i])
                        {
                            dp[i][j] = max(dp[i][j], t - a[i] + c[i]);
                        }
                    }
                }
                if(dp[i - 1][j] > 0)    //必须加这个判断条件!不然<0的可能加上几次c[i]后>0,根据题意任意时刻体力不能为<=0,而这样把本不能继续挑战的变为能继续挑战,就错了(c[i]数据范围蛮大, 到1e9,很有可能累加后>0)
                    dp[i][j] = max(dp[i][j], dp[i - 1][j] + c[i]);

            }
        }


        for(int i = N; i >= 0; i--)
        {
            if(dp[N][i] >= 0)
            {
                cout << i << endl;
                break;
            }
        }
    }
    return 0;
}

/*
2
3 10
1 2 0
4 8 3
6 10 1
2 1
1 1 1
1 1 1

*/

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转载自blog.csdn.net/qq_38577732/article/details/89517890