This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// orz
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
#define all(x) (x).begin(),(x).end()
#define X first
#define Y second
#define sep ' '
#define endl '\n'
#define debug(x) cerr << #x << ": " << x << endl;
const ll MAXN = 1e6 + 10;
const ll MOD = 1e9 + 7;
inline ll poww(ll a, ll b) {
ll ans = 1;
while (b) {
if (b & 1) ans = ans * a % MOD;
a = a * a % MOD;
b >>= 1;
}
return ans;
}
int n, r, q;
ll fact[MAXN], inv[MAXN];
vector<int> adj[MAXN];
inline ll C(ll k, ll n) {
if (k < 0 || k > n) return 0;
return fact[n] * inv[k] % MOD * inv[n - k] % MOD;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
fact[0] = inv[0] = 1;
for (int i = 1; i < MAXN; i++)
fact[i] = fact[i - 1] * i % MOD, inv[i] = poww(fact[i], MOD - 2);
cin >> n >> r;
for (int i = 1; i < n; i++) {
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
cout << C(n - 1, r + n - 1) << endl;
return 0;
}
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