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| #include <iostream>
#include <cstdio>
#include <queue>
#include <climits>
#define INF INT_MAX
using namespace std;
const int N = 1030, M = 46050;
int n, B, st, ed, barn[N], d[N], cur[N], k[1010][30];
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;
}
bool check(int x)
{
for (int l = 1, r = l + x - 1; r <= B; l++, r++)
{
for (int i = 0; i <= idx; i += 2)
{
wt[i ^ 1] = 0;
if (edg[i ^ 1] == st)
{
wt[i] = 1;
continue;
}
else if (edg[i] == ed)
{
wt[i] = barn[edg[i ^ 1]];
continue;
}
int num = k[edg[i ^ 1]][edg[i] - n];
if (num < l || num > r)
wt[i] = 0;
else
wt[i] = 1;
}
if (dinic() == n)
return true;
}
return false;
}
void add(int x, int y, int z)
{
nxt[++idx] = hd[x];
hd[x] = idx;
edg[idx] = y;
wt[idx] = z;
}
int main()
{
cin >> n >> B;
st = 0;
ed = n + B + 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 <= n; i++)
for (int j = 1; j <= B; j++)
{
cin >> a;
k[i][a] = j;
add(i, a + n, 1);
add(a + n, i, 0);
}
for (int i = n + 1, a; i < ed; i++)
{
cin >> barn[i];
add(i, ed, barn[i]);
add(ed, i, 0);
}
int l = 1, r = B, mid;
while (l < r)
{
mid = l + r >> 1;
if (check(mid))
r = mid;
else
l = mid + 1;
}
cout << r;
return 0;
}
|