http://acm.hdu.edu.cn/showproblem.php?pid=3722
KM 先求出任意两个字符串前后匹配的值 然后KM求最大匹配
越来越发现 图论题的关键在于建图呀
代码:
#include<iostream>
#include<stdio.h>
#include<string.h>
#include<math.h>
#include<algorithm>
#include<vector>
#include<set>
#include<queue>
#include<map>
#include<string>
#include <iomanip>
using namespace std;
const int INF=0x3f3f3f3f;
const int N=205;
const int M=1005;
char stmp[N][M];
int L[N];
int dist[N][N];
int f[N];
bool lv[N],rv[N];
int a[N],b[N];
bool dfs(int x,int n)
{
lv[x]=true;
for(int i=1;i<=n;++i)
{
if(!rv[i]&&a[x]+b[i]==dist[x][i])
{
rv[i]=true;
if(f[i]==-1||dfs(f[i],n))
{
f[i]=x;
return true;
}
}
}
return false;
}
int Km(int n)
{
memset(f,-1,sizeof(f));
memset(b,0,sizeof(b));
for(int i=1;i<=n;++i)
{
a[i]=-1;
for(int j=1;j<=n;++j)
a[i]=max(a[i],dist[i][j]);
}
for(int l=1;l<=n;++l)
{
while(true)
{
memset(lv,false,sizeof(lv));
memset(rv,false,sizeof(rv));
if(dfs(l,n))
break;
int d=INF;
for(int i=1;i<=n;++i)
{
if(lv[i])
for(int j=1;j<=n;++j)
{
if(!rv[j])
d=min(d,a[i]+b[j]-dist[i][j]);
}
}
for(int i=1;i<=n;++i)
{
if(lv[i])
a[i]-=d;
if(rv[i])
b[i]+=d;
}
}
}
int ans=0;
for(int i=1;i<=n;++i)
{
if(f[i]!=-1)
ans+=dist[f[i]][i];
}
return ans;
}
int main()
{
//freopen("data.txt","r",stdin);
int n;
while(scanf("%d",&n)!=EOF)
{
getchar();
for(int i=1;i<=n;++i)
{gets(stmp[i]);L[i]=strlen(stmp[i]);}
memset(dist,0,sizeof(dist));
for(int i=1;i<=n;++i)
{
for(int j=1;j<=n;++j)
{
if(i==j)
continue;
int l1=L[i]-1;
int l2=0;
for(;l1>=0&&l2<L[j];--l1,++l2)
{
if(stmp[i][l1]!=stmp[j][l2])
break;
}
dist[i][j]=l2;
}
}
printf("%d\n",Km(n));
}
return 0;
}