Codeforces 302D

思路：最短路，map[i][j] = d*(|x[i]-x[j]| + |y[i]-y[j]|) - add[i]

#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<cstdlib>
using namespace std;
long long int map[105][105],vis[105],dist[105],add[105];
int n,d;
void init()
{
    memset(vis,0,sizeof(vis));
    for(int i = 0; i < 105; i ++)
    {
        for(int j = 0; j < 105; j ++)
        {
            map[i][j] = 1 << 30;
        }
    }
    return ;
}

int main()
{
    int x[105],y[105];
    int ans,k;
    //freopen("in.c","r",stdin);
    while(~scanf("%d%d",&n,&d))
    {
        init();
        for(int i = 2; i <= n-1; i ++)
            scanf("%d",&add[i]);
        for(int i = 1; i <= n; i ++)
            scanf("%d%d",&x[i],&y[i]);
        for(int i = 1; i <= n; i ++)
        {
            for(int j = 1; j <= n; j ++)
                map[i][j] = (abs(x[i] - x[j]) +abs(y[i] - y[j]))*d - add[i];
        }
//        for(int i = 1;i <= n;i ++)
//        {
//            for(int j = 1;j <= n;j ++)
//            {if(i != j) printf("%d<-->%d == %d ",i,j,map[i][j]),printf("\n");}
//        }
        for(int i = 1;i <= n;i ++)
            dist[i] = map[1][i];
        ans = 0;
        vis[1] = 1;
        for(int i = 1;i <= n;i ++)
        {
            long long int min = 1 << 30;
            for(int j = 1;j <= n;j ++)
            {
                if(!vis[j] && min > dist[j])
                {
                    k = j;
                    min = dist[j];
                }
            }
            vis[k] = 1;
            for(int j = 1;j <= n;j ++)
            {
                if(!vis[j] && dist[j] > map[k][j] + dist[k])
                    dist[j] = map[k][j] +dist[k];
            }
        }
        printf("%d\n",dist[n]);
    }
    return 0;
}