codeforces 208C Police Station
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http://codeforces.com/problemset/problem/208/C
先算出最短路路径数和距离,然后枚举每个点i分别求到1和n的路径数,相乘就是经过点i的总路径数,然后计算下就行了
#include <cstdlib>#include <cctype>#include <cstring>#include <cstdio>#include <cmath>#include <algorithm>#include <vector>#include <string>#include <iostream>#include <sstream>#include <map>#include <set>#include <queue>#include <stack>#include <fstream>#include <numeric>#include <iomanip>#include <bitset>#include <list>#include <stdexcept>#include <functional>#include <utility>#include <ctime>using namespace std;#define PB push_back#define MP make_pair#define REP(i,n) for(int i=0;i<(n);++i)#define FOR(i,l,h) for(int i=(l);i<=(h);++i)#define DWN(i,h,l) for(int i=(h);i>=(l);--i)#define CLR(vis) memset(vis,0,sizeof(vis))#define MST(vis,pos) memset(vis,pos,sizeof(vis))#define MAX3(a,b,c) max(a,max(b,c))#define MAX4(a,b,c,d) max(max(a,b),max(c,d))#define MIN3(a,b,c) min(a,min(b,c))#define MIN4(a,b,c,d) min(min(a,b),min(c,d))#define PI acos(-1.0)#define INF 1000000000#define LINF 1000000000000000000LL#define eps 1e-8typedef long long ll;const int maxn=111;int n,m,dis[maxn];ll dp[maxn];vector<int> v[maxn];void bfs(int s){ queue<int> q; dp[s]=1; q.push(s); while(!q.empty()) { int pos=q.front(); q.pop(); REP(i,v[pos].size()) { int e=v[pos][i]; if(!dis[e]) { dis[e]=dis[pos]+1; dp[e]+=dp[pos]; q.push(e); } else { if(dis[e]==dis[pos]+1) { dp[e]+=dp[pos]; } } } }}int main(){ int a,b; cin>>n>>m; REP(i,m) { scanf("%d%d",&a,&b); v[a].PB(b); v[b].PB(a); } bfs(1); double ans=1.0; ll res=dp[n],vis=dis[n]; FOR(i,2,n-1) { CLR(dp),CLR(dis); bfs(i); if(dis[1]+dis[n]==vis) ans=max(ans,(2.0*dp[1]*dp[n])/(res*1.0)); } printf("%.6lf\n",ans); return 0;}
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