#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 1e6 + 5, M = 100 + 5, INF = 1e18;
namespace Dinic {
int n1, n2, n, s, t, cnt = 1, h[N], d[N], v[N], ans, f[N];
struct Node {
int v, w, h;
} e[N];
void make(int u, int v, int w = 1) {
// cout<<"make("<<u<<", "<<v<<", "<<w<<", "<<h[u]<<", "<<cnt<<")"<<endl;
e[++cnt] = {v, w, h[u]}; h[u] = cnt;
// cout<<"make("<<v<<", "<<u<<", "<<0<<", "<<h[v]<<", "<<cnt<<")"<<endl;
e[++cnt] = {u, 0, h[v]}; h[v] = cnt;
}
void add(int u, int v, int w = 1) {
make(u, v + n1, w);
}
bool bfs() {
for(int i = 1; i <= n; i++) d[i] = INF;
queue<int> q;
q.push(s); d[s] = 0; f[s] = h[s];
while(!q.empty()) {
int x = q.front(); q.pop();
for(int i = h[x]; i; i = e[i].h) {
int p = e[i].v;
if(e[i].w > 0 && d[p] == INF) {
q.push(p);
d[p] = d[x] + 1; f[p] = h[p];
if(p == t) return 1;
}
}
}
return 0;
}
int dfs(int x, int l) {
if(x == t) return l;
int k, r = 0;
for(int i = f[x]; i && l; i = e[i].h) {
f[x] = i;
int p = e[i].v;
if(e[i].w > 0 && d[p] == d[x] + 1) {
k = dfs(p, min(l, e[i].w));
if(!k) d[p] = INF;
e[i].w -= k; e[i ^ 1].w += k;
r += k, l -= k;
}
}
return r;
}
void init(int nn1, int nn2) {
ans = 0;
n1 = nn1, n2 = nn2;
memset(h, 0, sizeof(h)); memset(d, 0, sizeof(d)); memset(v, 0, sizeof(v)), memset(f, 0, sizeof(f));
n = n1 + n2 + 2; s = n - 1, t = n;
}
int dinic() {
while(bfs()) {
int x;
while((x = dfs(s, INF))) ans += x;
}
return ans;
}
}
int n, m, a[N], l[N], r[N], d[N];
bitset<M> b[N];
void dfs(int x) {
r[x] = 1;
for(int i = 1; i <= n; i++) if(b[i][x] && !l[i]) {
l[i] = 1;
dfs(a[i]);
}
}
signed main() {
cin>>n>>m;
for(int i = 1; i <= m; i++) {
int u, v; cin>>u>>v;
b[u][v] = 1;
}
for(int i = 1; i <= n; i++) for(int j = 1; j <= n; j++) if(b[i][j]) b[i] |= b[j];
Dinic::init(n, n);
for(int i = 1; i <= n; i++) Dinic::make(n * 2 + 1, i), Dinic::make(i + n, n * 2 + 2);
for(int i = 1; i <= n; i++) for(int j = 1; j <= n; j++) if(b[i][j]) Dinic::add(i, j);
int ans = n - Dinic::dinic();
cout<<ans<<endl;
for(int i = 1; i <= n; i++) if(!Dinic::e[i * 4 - 2].w)
for(int j = Dinic::h[i]; j; j = Dinic::e[j].h) if(!Dinic::e[j].w) {
a[i] = Dinic::e[j].v - n;
break;
}
for(int i = 1; i <= n; i++) if(Dinic::e[i * 4].w) dfs(i);
for(int i = 1; i <= n; i++) cout<<(!l[i] && r[i]); cout<<endl;
for(int k = 1; k <= n; k++) {
memset(d, 0, sizeof(d)); int cnt = 0;
for(int i = 1; i <= n; i++) d[i] = (i == k || b[i][k] || b[k][i]);
Dinic::init(n, n);
for(int i = 1; i <= n; i++) if(!d[i]) {
Dinic::make(n * 2 + 1, i), Dinic::make(i + n, n * 2 + 2);
cnt++;
}
for(int i = 1; i <= n; i++) if(!d[i])
for(int j = 1; j <= n; j++) if(!d[j])
if(b[i][j]) Dinic::add(i, j);
cout<<(cnt - Dinic::dinic() == ans - 1);
}
cout<<endl;
return 0;
}
WA on #7 ~ #9,最后一问的问题。