poj 2049(二分+spfa判负环)
给你一堆字符串,若字符串x的后两个字符和y的前两个字符相连,那么x可向y连边。问字符串环的平均最小值是多少。1 ≤ n ≤ 100000,有多组数据。
首先根据套路,二分是显然的。然后跑一下spfa判断正环就行了。
然而我被no solution坑了十次提交。。
#include <cctype>
#include <cstdio>
#include <cstring>
using namespace std;
const int maxn=1e5+5, maxm=1e5+5;
const double eps=1e-4;
struct Graph{
struct Edge{
int to, next, v; Graph *bel;
inline int operator *(){ return to; }
Edge& operator ++(){
return *this=bel->edge[next]; }
};
void reset(){
cntedge=0; memset(fir, 0, sizeof(fir)); }
void addedge(int x, int y, int v){
Edge &e=edge[++cntedge];
e.to=y; e.next=fir[x]; e.v=v;
e.bel=this; fir[x]=cntedge;
}
Edge& getlink(int x){ return edge[fir[x]]; }
//////////
Edge edge[maxm*2];
int cntedge, fir[maxn];
}g;
int n, len, visit[maxn];
double dis[maxn], l, r, mid; bool flag;
char s[1005];
int trans(char c1, char c2){
return (c1-'a')*26+c2-'a'+1; }
bool spfa(int now, double A){
Graph::Edge e=g.getlink(now); visit[now]=1;
for (; *e; ++e){
if (dis[now]+A-e.v<dis[*e]){
dis[*e]=dis[now]+A-e.v;
if (visit[*e]||spfa(*e, A)) return true;
}
} visit[now]=0;
return false;
}
int main(){
for (; scanf("%d", &n), n; ){
g.reset();
for (int i=1; i<=n; ++i){
do{
fgets(s, 1e5, stdin);
len=strlen(s);
}while (len<2);
g.addedge(trans(s[0], s[1]),
trans(s[len-3], s[len-2]), len-1);
}
l=0; r=2000;
while (r-l>eps){
mid=(l+r)/2; flag=false;
for (int i=1; i<=26*26; ++i) dis[i]=visit[i]=0;
for (int i=1; i<=26*26; ++i)
if (spfa(i, mid)){ flag=true; break; }
if (flag) l=mid; else r=mid;
}
if (r<=eps) printf("No solution.\n");
else printf("%.3lf\n", (l+r)/2);
}
return 0;
}