ACM/ICPC 之 DP解有规律的最短路问题(POJ3377)

 

//POJ3377
//DP解法-解有规律的最短路问题
//Time:1157Ms   Memory:12440K
#include<iostream>
#include<cstring>
#include<cstdio>
using namespace std;

#define MAXN 1000005

typedef long long LL;

int n;
int dp[MAXN][3];
int sr, st, er, ed;
int main()
{
    //freopen("in.txt", "r", stdin);
    while(scanf("%d", &n), n)
    {
        scanf("%d%d%d%d", &sr,&st,&er,&ed);
        if(st > ed)
        {
            swap(st, ed);
            swap(sr, er);
        }
        for(int i = 1; i <= n; i++)
            scanf("%d", &dp[i][0]);
        for(int i = 0; i <= n; i++)
            scanf("%d", &dp[i][2]);
        for(int i = 1; i <= n; i++)
            scanf("%d", &dp[i][1]);

        //更新st从左侧到达对岸的最短路
        for(int i = st, w = 0; i > 0; i--)
        {
            w += dp[i][0] + dp[i][1];   //间接走陆路的路长和
            dp[st][2] = min(dp[st][2], w + dp[i-1][2]);
            if(w >= dp[st][2]) break;
        }

        //更新ed从右侧到达对岸的最短路
        for(int i = ed+1, w = 0; i <= n; i++)
        {
            w += dp[i][0] + dp[i][1];
            dp[ed][2] = min(dp[ed][2], w + dp[i][2]);
            if(w >= dp[ed][2])  break;
        }

        LL dis[2];
        dis[sr] = 0;    //起始点右移最短路
        dis[!sr] = dp[st][2];   //对岸右移最短路
        for(int i = st + 1; i <= ed; i++)
        {
            int x = dp[i][sr], y = dp[i][!sr];  //该点与对岸到达右一点的路长
            int z = dp[i][2];   //右侧水路长
            LL tmp = dis[sr];
            dis[sr] = min(dis[sr] + x, dis[!sr] + y + z);
            dis[!sr] = min(dis[!sr] + y, tmp + x + z);
        }
        printf("%lld\n", dis[er]);
    }
    return 0;
}