struct DLX {
int n , m,size;
int U[N],D[N],R[N],L[N],row[N],col[N];
int ans[N],S[N];
int ansd;
void init(int a,int b) {
n = a;
m = b;
for(int i=0; i<=m; i++) {
S[i] = 0;
U[i] = D[i] = i;
L[i] = i-1;
R[i] = i+1;
}
R[m] = 0;
L[0] = m;
size = m;
for(int i=1; i<=n; i++) ans[i] = -1;
}
void addRow(int r,int c) {
++S[col[++size]=c];
row[size] = r;
D[size] = D[c];
U[D[c]] = size;
U[size] = c;
D[c] = size ;
if(ans[r]<0)
ans[r] = L[size] = R[size] = size;
else {
R[size] = R[ans[r]];
L[R[ans[r]]] = size;
L[size] = ans[r];
R[ans[r]] = size;
}
}
void remove (int c) {
for(int i= D[c]; i!=c; i=D[i]) {
L[R[i]] = L[i];
R[L[i]] = R[i];
}
}
void resume(int c) {
for(int i = U[c]; i!=c; i=U[i]) {
L[R[i]]=R[L[i]] = i;
}
}
bool v[N];
int f() { //精确覆盖区估算剪枝
int ret = 0;
for(int c =R[0]; c!=0; c=R[c])
v[c] = true;
for(int c = R[0]; c!=0; c=R[c]) {
if(v[c]) {
ret++;
v[c] = false;
for(int i=D[c]; i!=c; i=D[i]) {
for(int j=R[i]; j!=i; j=R[j]) {
v[col[j]]=false;
}
}
}
}
return ret;
}
void dance(int d) {
if(d+f()>=ansd) return ;
if(R[0]==0) {
if(ansd>d)
ansd = d;
return;
}
int c = R[0];
for(int i=R[0]; i!=0; i=R[i]) {
if(S[i]<S[c]) {
c=i;
}
}
for(int i=D[c]; i!=c; i=D[i]) {
remove(i);
for(int j=R[i]; j!=i; j=R[j])
remove(j);
dance(d+1);
for(int j=L[i]; j!=i; j=L[j])
resume(j);
resume(i);
}
}
} g;