//#define LOCAL
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define mem(a, b) memset(a,b,sizeof(a))
#define INF 0x3f3f3f3f
#define DNF 0x7f
#define DBG printf("this is a input\n")
#define fi first
#define se second
#define mk(a, b) make_pair(a,b)
#define pb push_back
#define p_queue priority_queue
#define eps 1e-8
ll gcd(ll a, ll b) {
return b == 0 ? a : gcd(b, a % b);
}
ll lcm(ll a, ll b) {
return a / gcd(a, b) * b;
}
int n , m , k;
int st, ed, level[200], cur[200];
struct node{
int t, next, c;
}edge[4500];
int head[200], cnt = 0;
void add(int f, int t, int c)
{
edge[cnt].t = t;
edge[cnt].c = c;
edge[cnt].next = head[f];
head[f] = cnt ++;
}
struct e{
int x, y;
}in[2500];
bool DinicBfs(int s, int e)
{
mem(level,0);
queue<int>q;
q.push(s);
level[s] = 1;
while(!q.empty())
{
int root = q.front();
q.pop();
for(int i = head[root] ; i != -1 ; i = edge[i].next)
{
int v = edge[i].t, c = edge[i].c;
if(!level[v] && c > 0)
{
level[v] = level[root] + 1;
q.push(v);
}
}
}
return level[e] != 0;
}
int DinicDfs(int root , int flow)
{
if(root == ed)
return flow;
int newflow , cost = 0;
for(int& i = cur[root] ; i != -1 ; i = edge[i].next)
{
int v = edge[i].t, c = edge[i].c;
if(level[v] == level[root] + 1 && c > 0 && (newflow = DinicDfs(v,min(c,flow-cost))))
{
cost += newflow;
edge[i].c -= newflow;
edge[i^1].c += newflow;
if(cost == flow) break;
}
}
return cost;
}
int Dinic()
{
int ans = 0;
while(DinicBfs(st,ed))
{
for(int i = 0 ; i <= n*3 ; i ++)
cur[i] = head[i];
while(int add = DinicDfs(st,INF))
ans += add;
}
return ans;
}
int main(void)
{
#ifdef LOCAL
freopen("data.in", "r", stdin);
freopen("odata.out", "w", stdout);
#endif
while(scanf("%d %d",&n, &m) == 2)
{
int ans = INF;
char str[100];
for(int i = 1; i <= m ; i ++)
{
int j;
scanf("%s",str);
for(in[i].x = 0, j = 1 ; str[j] != ',' ; j ++)
in[i].x = in[i].x * 10 + str[j]-'0';
for(in[i].y = 0, j ++ ; str[j] != ')' ; j ++)
in[i].y = in[i].y * 10 + str[j]-'0';
in[i].x ++ , in[i].y ++;
}
for(st = 1;st <= n;++ st)
for(ed = 1;ed <= n;++ ed)
if(st != ed)
{
//除了拆点边容量为1,其他均为INF
memset(head,-1,sizeof(head));
cnt = 0;
for(int i = 1 ; i <= n; ++ i)
if(i == st || i == ed) add(i ,i+n,INF), add(i+n,i,0);
else add(i,i+n,1), add(i+n,i,0);
for(int i = 1 ; i <= m ; ++ i)
{
add(in[i].x+n,in[i].y,INF);
add(in[i].y,in[i].x+n,0);
add(in[i].y+n,in[i].x,INF);
add(in[i].x,in[i].y+n,0);
}
ans = min(ans,Dinic());
}
if(n <= 1 || ans == INF) ans = n;
printf("%d\n",ans);
}
return 0;
}
版权声明:本文为Zenith_Habitant原创文章,遵循 CC 4.0 BY-SA 版权协议,转载请附上原文出处链接和本声明。