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| #include <iostream>
#include <cstdio>
#include <queue>
#include <climits>
#define INF INT_MAX
using namespace std;
const int N =2e3 + 10, M = 5e4 + 10;
int k, n, m, st, ed, d[N], cur[N];
int idx = -1, hd[N], nxt[M], edg[M], wt[M];
bool bfs()
{
for (int i = st; i <= ed; i++)
d[i] = -1;
d[st] = 0;
cur[st] = hd[st];
queue <int> q;
q.push(st);
while (!q.empty())
{
int t = q.front();
q.pop();
for (int i = hd[t]; ~i; i = nxt[i])
if (d[edg[i]] == -1 && wt[i])
{
cur[edg[i]] = hd[edg[i]];
d[edg[i]] = d[t] + 1;
if (edg[i] == ed)
return true;
q.push(edg[i]);
}
}
return false;
}
int find(int x, int limit)
{
if (x == ed)
return limit;
int res = 0;
for (int i = cur[x]; ~i && res < limit; i = nxt[i])
{
cur[x] = i;
if (d[edg[i]] == d[x] + 1 && wt[i])
{
int t = find(edg[i], min(wt[i], limit - res));
if (!t)
d[edg[i]] = -1;
wt[i] -= t;
wt[i ^ 1] += t;
res += t;
}
}
return res;
}
int dinic()
{
int res = 0, flow;
while (bfs())
while (flow = find(st, INF))
res += flow;
return res;
}
void add(int x, int y, int z)
{
nxt[++idx] = hd[x];
hd[x] = idx;
edg[idx] = y;
wt[idx] = z;
}
int main()
{
cin >> k >> n;
st = 0;
ed = n + k + 1;
for (int i = st; i <= ed; i++)
hd[i] = -1;
for (int i = 1; i <= n; i++)
{
add(st, i, 1);
add(i, st, 0);
}
for (int i = 1, a; i <= k; i++)
{
cin >> a;
m += a;
add(i + n, ed, a);
add(ed, i + n, 0);
}
for (int i = 1, a, b; i <= n; i++)
{
cin >> a;
for (int j = 1; j <= a; j++)
{
cin >> b;
add(i, b + n, 1);
add(b + n, i, 0);
}
}
if (dinic() < m)
{
cout << "No Solution!";
return 0;
}
for (int i = n + 1; i < ed; i++)
{
cout << i - n << ": ";
for (int j = hd[i]; ~j; j = nxt[j])
if (edg[j] != ed && wt[j])
cout << edg[j] << ' ';
cout << endl;
}
return 0;
}
|