[SSL] 1760 store location problem
Time Limit:1000MS
Memory Limit:65536K
Description
Given a map of a city (represented by an adjacency matrix), the store is located at a point so that the sum of the distances from each place to the store is the shortest.
Input
The first
row is n (there are several cities); N is less than 201, and the second row to the n+ 1th row is a city map (represented by an adjacency matrix);
Output
The sum of the shortest paths;
Sample Input
3
0 3 1
3 0 2
1 2 0
Sample Output
3
Ideas
Use floyd.
0 means unreachable
Code
#include<iostream>
#include<cstdio>
#include<queue>
#include<cstring>
#include<cmath>
#include<queue>
#include<cstring>
using namespace std;
int n;
int a[2010][2010];
bool d[2010];
void input()
{
int i,j,x,y,z;
scanf("%d",&n);
for(i=1;i<=n;i++)
for(j=1;j<=n;j++)
{
scanf("%d",&a[i][j]);
if(i!=j&&a[i][j]==0)
a[i][j]=100000000;
}
return;
}
void floyd()//求多源最短路
{
int i,j,k;
for(k=1;k<=n;k++)
for(i=1;i<=n;i++)
for(j=1;j<=n;j++)
if(a[i][k]+a[k][j]<a[i][j])
a[i][j]=a[i][k]+a[k][j];
return;
}
int main()
{
int i,j,sum,ans=100000000;
input();
floyd();
for(i=1;i<=n;i++)
{
for(sum=0,j=1;j<=n;j++)//计算距离和
sum+=a[i][j];
ans=min(ans,sum);
}
printf("%d",ans);
return 0;
}