This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = (int) 1e6 + 7;
const int M = (int) 1e9 + 7;
int a[N], special[N], degree[N], dp[N], order[N];
vector<int> in[N], out[N];
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n, m, p;
cin >> n >> m >> p;
for (int i = 1; i <= p; i++) {
cin >> a[i];
special[a[i]] = 1;
}
for (int i = 1; i <= m; i++) {
int x, y;
cin >> x >> y;
in[y].push_back(x);
out[x].push_back(y);
degree[y]++;
}
queue<int> q;
vector<int> depth(n + 1);
for (int i = 1; i <= n; i++) {
if (degree[i] == 0) {
q.push(i);
depth[i] = 1;
}
}
while (!q.empty()) {
int u = q.front();
q.pop();
for (auto &v : out[u]) {
degree[v]--;
if (degree[v] == 0) {
depth[v] = depth[u] + 1;
q.push(v);
}
}
}
for (int i = 2; i <= p; i++) {
if (depth[a[i]] <= depth[a[i - 1]]) {
cout << "0";
return 0;
}
}
for (int i = 1; i <= n; i++) {
order[i] = i;
}
sort(order + 1, order + n + 1, [&](int i, int j) {
return depth[i] < depth[j];
});
int last = 0;
for (int i = 1; i <= n; i++) {
if (order[i] != 1) {
if (last != 0) {
for (auto &v : in[order[i]]) {
if (depth[v] > depth[last] || v == last) {
dp[order[i]] += dp[v];
if (dp[order[i]] >= M) {
dp[order[i]] -= M;
}
}
}
}
if (special[order[i]]) {
last = order[i];
}
} else {
if (last == 0) {
dp[1] = 1;
}
last = 1;
}
}
cout << dp[n];
return 0;
}
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