Submission #659522

#TimeUsernameProblemLanguageResultExecution timeMemory
659522tibinyteMagneti (COCI21_magneti)C++14
10 / 110
66 ms12036 KiB
#include <bits/stdc++.h> using namespace std; int32_t MOD = 1e9 + 7; struct modint { int32_t value; modint() = default; modint(int32_t value_) : value(value_ % MOD) {} modint(int64_t value_) : value(value_ % MOD) {} inline modint operator+(modint other) const { int32_t c = this->value + other.value; return modint(c >= MOD ? c - MOD : c); } inline modint operator-(modint other) const { int32_t c = this->value - other.value; return modint(c < 0 ? c + MOD : c); } inline modint operator*(modint other) const { int32_t c = (int64_t)this->value * other.value % MOD; return modint(c < 0 ? c + MOD : c); } inline modint &operator+=(modint other) { this->value += other.value; if (this->value >= MOD) this->value -= MOD; return *this; } inline modint &operator-=(modint other) { this->value -= other.value; if (this->value < 0) this->value += MOD; return *this; } inline modint &operator*=(modint other) { this->value = (int64_t)this->value * other.value % MOD; if (this->value < 0) this->value += MOD; return *this; } inline modint operator-() const { return modint(this->value ? MOD - this->value : 0); } modint pow(int32_t k) const { modint x = *this, y = 1; for (; k; k >>= 1) { if (k & 1) y *= x; x *= x; } return y; } modint inv() const { return pow(MOD - 2); } // MOD must be a prime inline modint operator/(modint other) const { return *this * other.inv(); } inline modint operator/=(modint other) { return *this *= other.inv(); } inline bool operator==(modint other) const { return value == other.value; } inline bool operator!=(modint other) const { return value != other.value; } inline bool operator<(modint other) const { return value < other.value; } inline bool operator>(modint other) const { return value > other.value; } }; modint operator*(int64_t value, modint n) { return modint(value) * n; } modint operator*(int32_t value, modint n) { return modint(value) * n; } istream &operator>>(istream &in, modint &n) { return in >> n.value; } ostream &operator<<(ostream &out, modint n) { return out << n.value; } struct combi { int n; vector<modint> facts, finvs, invs; combi(int _n) : n(_n), facts(_n), finvs(_n), invs(_n) { facts[0] = finvs[0] = 1; invs[1] = 1; for (int i = 2; i < n; i++) invs[i] = invs[MOD % i] * (-MOD / i); for (int i = 1; i < n; i++) { facts[i] = facts[i - 1] * i; finvs[i] = finvs[i - 1] * invs[i]; } } inline modint fact(int n) { return facts[n]; } inline modint finv(int n) { return finvs[n]; } inline modint inv(int n) { return invs[n]; } inline modint ncr(int n, int k) { return n < k or k < 0 ? 0 : facts[n] * finvs[k] * finvs[n - k]; } inline modint aranj(int n, int k) { return ncr(n, k) * facts[k]; } inline modint sb(int n, int k) { return ncr(n + k - 1, n); }; }; combi C(1e6 + 1); int32_t main() { cin.tie(nullptr)->sync_with_stdio(false); int n, l; cin >> n >> l; vector<int> a(n + 1); for (int i = 1; i <= n; ++i) { cin >> a[i]; } cout << C.fact(n) * C.sb(l - (n - 1) * a[1] - 1, n + 1); }
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