• luogu P1550 [USACO08OCT]打井Watering Hole


    题目背景

    John的农场缺水了!!!

    题目描述

    Farmer John has decided to bring water to his N (1 <= N <= 300) pastures which are conveniently numbered 1..N. He may bring water to a pasture either by building a well in that pasture or connecting the pasture via a pipe to another pasture which already has water.

    Digging a well in pasture i costs W_i (1 <= W_i <= 100,000).

    Connecting pastures i and j with a pipe costs P_ij (1 <= P_ij <= 100,000; P_ij = P_ji; P_ii=0).

    Determine the minimum amount Farmer John will have to pay to water all of his pastures.

    POINTS: 400

    农民John 决定将水引入到他的n(1<=n<=300)个牧场。他准备通过挖若

    干井,并在各块田中修筑水道来连通各块田地以供水。在第i 号田中挖一口井需要花费W_i(1<=W_i<=100,000)元。连接i 号田与j 号田需要P_ij (1 <= P_ij <= 100,000 , P_ji=P_ij)元。

    请求出农民John 需要为连通整个牧场的每一块田地所需要的钱数。

    输入输出格式

    输入格式:

    第1 行为一个整数n。

    第2 到n+1 行每行一个整数,从上到下分别为W_1 到W_n。

    第n+2 到2n+1 行为一个矩阵,表示需要的经费(P_ij)。

    输出格式:

    只有一行,为一个整数,表示所需要的钱数。

    输入输出样例

    输入样例#1: 
    4
    5
    4
    4
    3
    0 2 2 2
    2 0 3 3
    2 3 0 4
    2 3 4 0
    输出样例#1: 
    9

    说明

    John等着用水,你只有1s时间!!!

    开始给dis赋值打井花费来比较打井和修水道哪种更优

     1 #include<iostream>
     2 #include<cstring>
     3 #include<cstdio>
     4 using namespace std;
     5 int f[310][310],dis[310];
     6 bool vis[310]; 
     7 int main()
     8 {
     9     memset(f,0x3f,sizeof(f));
    10     memset(dis,0x3f,sizeof(dis));
    11     int n;
    12     scanf("%d",&n);
    13     for(int i=1;i<=n;++i)
    14         scanf("%d",&dis[i]);
    15     for(int i=1;i<=n;++i)
    16         for(int j=1;j<=n;++j)
    17             scanf("%d",&f[i][j]);
    18     for(int i=1;i<=n;++i)
    19     {
    20         int k=0;
    21         for(int j=1;j<=n;++j)
    22             if(!vis[j]&&dis[j]<dis[k]) 
    23                 k=j;
    24         vis[k]=1;
    25         for(int j=1;j<=n;++j)
    26             if(j!=k&&!vis[j]&&dis[j]>f[k][j])
    27                 dis[j]=f[k][j];
    28     }
    29     int ans=0;
    30     for(int i=1;i<=n;++i)
    31         ans+=dis[i]; 
    32     printf("%d",ans);
    33     return 0;
    34 }
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  • 原文地址:https://www.cnblogs.com/axma/p/9356912.html
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