題目鏈接

QS Network

---

Time Limit:?2 Seconds ?????Memory Limit:?65536 KB

---

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

?

題意：QS之間通過網絡進行通訊，如果兩個QS需要通訊，他們需要買兩個網絡適配器，每個QS一個，以及一段網線，每個是適配器只用于單一通信中，也就是說如果一個QS想建立4個通信，那么需要買4個適配器。在通信中，一個QS向所有和他連接的QS發送消息，接收到消息的QS又向它連接著的QS發送，直到所有QS都接到消息

分析：最小生成樹

AC代碼：

#include <cstdio> #include <algorithm> #include <iostream> #include <cstring> using namespace std; const int N=1010; const int inf=0x3f3f3f3f3f; int n; int s[N],dis[N],e[N][N]; bool vis[N]; int Prim(int st){int ans=0;memset(vis,false, sizeof((vis)));vis[st]=true;for(int i=1;i<=n;i++){dis[i]=e[st][i];}int minn,u;for(int i=1;i<n;i++){minn=inf;for(int j=1;j<=n;j++){if(minn>dis[j]&&!vis[j]){minn=dis[j];u=j;}}if(minn==inf) break;vis[u]=true;ans+=minn;for(int j=1;j<=n;j++){if(dis[j]>e[u][j]&&!vis[j]) dis[j]=e[u][j];}}return ans; } void init(){for(int i=1;i<=n;i++){for(int j=1;j<=n;j++){if(i==j) e[i][j]=0;else e[i][j]=inf;}} } int main(){int t;scanf("%d",&t);while(t--){scanf("%d",&n);init();for(int i=1;i<=n;i++){scanf("%d",&s[i]);}for(int i=1;i<=n;i++){for(int j=1;j<=n;j++){scanf("%d",&e[i][j]);if(i==j) e[i][j]=0;else e[i][j]+=s[i]+s[j];}}int ans=Prim(1);printf("%d\n",ans);}return 0; } View Code

?

轉載于:https://www.cnblogs.com/kun-/p/9708253.html

總結

以上是生活随笔為你收集整理的ZOJ 1586 QS Network的全部內容，希望文章能夠幫你解決所遇到的問題。

如果覺得生活随笔網站內容還不錯，歡迎將生活随笔推薦給好友。