感觉这两天一直在做乱搞的题。。。
1491: [NOI2007]社交网络
Time Limit: 10 Sec Memory Limit: 64 MB
Submit: 1279 Solved: 732
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Description
Input
Output
输出文件包括n 行,每行一个实数,精确到小数点后3 位。第i 行的实数表 示结点i 在社交网络中的重要程度。
Sample Input
4 4
1 2 1
2 3 1
3 4 1
4 1 1
Sample Output
1.000
1.000
1.000
1.000
HINT
为1
Source
两个floyd,第一个求出最短路径,并记录road【i】【k】和road【k】【j】根据乘法原理,经过k的从i到j的最短路径即为road【i】【k】*road【k】【j】(我会说一开始打成+还死活没看见吗。。。。)然后统计输出即可
代码:
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
int read()
{
int x=0,f=1; char ch=getchar();
while (ch<'0' || ch>'9'){if (ch=='-') f=-1; ch=getchar();}
while (ch>='0' && ch<='9') {x=x*10+ch-'0'; ch=getchar();}
return x*f;
}
int n,m;
int edge[200][200];
long long road[200][200];
double ans[200];
#define inf 1000000001
void floyd()
{
for (int k=1; k<=n; k++)
for (int i=1; i<=n; i++)
for (int j=1; j<=n; j++)
{
if (edge[i][j]>edge[i][k]+edge[k][j])
{
edge[i][j]=edge[i][k]+edge[k][j];
road[i][j]=0;
}
if (edge[i][j]==edge[i][k]+edge[k][j])
road[i][j]+=road[i][k]*road[k][j];
}
}
void floyed()
{
for (int i=1; i<=n; i++) road[i][i]=0;
for (int k=1; k<=n; k++)
for (int i=1; i<=n; i++)
for (int j=1; j<=n; j++)
if (edge[i][j]==edge[i][k]+edge[k][j] && road[i][j]>0)
ans[k]+=(double)road[i][k]*(double)road[k][j]/(double)road[i][j];
}
int main()
{
n=read();m=read();
for (int i=1; i<=n; i++)
for (int j=1; j<=n; j++)
edge[i][j]=inf;
for (int i=1; i<=m; i++)
{
int u=read(),v=read(),c=read();
edge[u][v]=edge[v][u]=c;
road[u][v]=road[v][u]=1;
}
floyd();floyed();
for (int i=1; i<=n; i++)
printf("%.3lf\n",ans[i]);
return 0;
}