HUT G - QS Network

话说我这道题觉得用一个简单的Dijkstra写是错误的，但还是抱着试一下的心态提交了代码，结果却A了，不甘心呐

因为题意是要求从一个点散发出消息，直到所有的点都收到，如果用最小生成树写的话，那样我觉得不一定就是最小的花费啊。

因为如果此时并不是所有的点都收到消息，那么收到的消息的点还要继续散发消息，所以最小生成树不一定是最小花费吧，求大神解答啊Orz~

 

 

                                                                                                    G -QS Network

                                                   Time Limit:1000MS    Memory Limit:32768KB     64bit IO Format:%lld & %llu

Description

Sunny Cup 2003 - Preliminary Round

April 20th, 12:00 - 17:00

Problem E: QS Network

In the planet w-503 of galaxy cgb, there is a kind of intelligent creature named QS. QScommunicate with each other via networks. If two QS want to get connected, they need to buy two network adapters (one for each QS) and a segment of network cable. Please be advised that ONE NETWORK ADAPTER CAN ONLY BE USED IN A SINGLE CONNECTION.(ie. if a QS want to setup four connections, it needs to buy four adapters). In the procedure of communication, a QS broadcasts its message to all the QS it is connected with, the group of QS who receive the message broadcast the message to all the QS they connected with, the procedure repeats until all the QS's have received the message.

A sample is shown below:

A sample QS network, and QS A want to send a message.

Step 1. QS A sends message to QS B and QS C;

Step 2. QS B sends message to QS A ; QS C sends message to QS A and QS D;

Step 3. the procedure terminates because all the QS received the message.

Each QS has its favorate brand of network adapters and always buys the brand in all of its connections. Also the distance between QS vary. Given the price of each QS's favorate brand of network adapters and the price of cable between each pair of QS, your task is to write a program to determine the minimum cost to setup a QS network.

Input

The 1st line of the input contains an integer t which indicates the number of data sets.

From the second line there are t data sets.

In a single data set,the 1st line contains an interger n which indicates the number of QS.

The 2nd line contains n integers, indicating the price of each QS's favorate network adapter.

In the 3rd line to the n+2th line contain a matrix indicating the price of cable between ecah pair of QS.

Constrains:

all the integers in the input are non-negative and not more than 1000.

Output

for each data set,output the minimum cost in a line. NO extra empty lines needed.

Sample Input

1
3
10 20 30
0 100 200
100 0 300
200 300 0

Sample Output

370

 

#include <stdio.h>#include <stdlib.h>#include <algorithm>using namespace std;#define MAX 1005#define inf 0x7f7f7fint n,m;int num[MAX];int mp[MAX][MAX];int dis[MAX];bool visit[MAX];void prim( int st ){     for( int i=1 ; i<=n ; i++ ){          visit[i] = false;          dis[i] = mp[st][i];     }          visit[st] = true;     dis[st] = 0;     int tmp ,k;     int ans = 0;     for( int i=1 ; i<n ; i++ ){          tmp  = inf;          for( int j=1 ; j<=n ; j++ )               if( !visit[j] && tmp > dis[j] )                   tmp  = dis[ k = j ];          ans += tmp;          visit[k] = true;          for( int j=1 ; j<=n ; j++ )               if( !visit[j] && dis[j] > mp[k][j] )                   dis[j] = mp[k][j];          }     printf("%d\n",ans);}int main(){    scanf("%d",&m);    while( m-- ){           scanf("%d",&n);            for( int i=1 ; i<=n ; i++ )                scanf("%d",&num[i]);           for( int i=1 ; i<=n ; i++ )                  for( int j=1 ; j<=n ; j++ ){                     scanf("%d",&mp[i][j]);                     mp[i][j] += num[i]+num[j];                }           prim( 1 );    }    return 0;}