Submission #10299907


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#include<bits/stdc++.h>
#define rep(i,a,b) for(int i=a;i<b;i++)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(x) (x).begin(),(x).end()
//#pragma GCC optimize ("-O3")
using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); }
typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60;
template<class T>bool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; }
template<class T>bool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; }
//---------------------------------------------------------------------------------------------------
template<int MOD> struct ModInt {
    static const int Mod = MOD; unsigned x; ModInt() : x(0) { }
    ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
    ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; }
    int get() const { return (int)x; }
    ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; }
    ModInt &operator/=(ModInt that) { return *this *= that.inverse(); }
    ModInt operator+(ModInt that) const { return ModInt(*this) += that; }
    ModInt operator-(ModInt that) const { return ModInt(*this) -= that; }
    ModInt operator*(ModInt that) const { return ModInt(*this) *= that; }
    ModInt operator/(ModInt that) const { return ModInt(*this) /= that; }
    ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0;
        while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); }
        return ModInt(u); }
    bool operator==(ModInt that) const { return x == that.x; }
    bool operator!=(ModInt that) const { return x != that.x; }
    ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; }
};
template<int MOD> ostream& operator<<(ostream& st, const ModInt<MOD> a) { st << a.get(); return st; };
template<int MOD> ModInt<MOD> operator^(ModInt<MOD> a, unsigned long long k) {
    ModInt<MOD> r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; }
typedef ModInt<1000000007> mint;
/*---------------------------------------------------------------------------------------------------
            ∧_∧
      ∧_∧  (´<_` )  Welcome to My Coding Space!
     ( ´_ゝ`) /  ⌒i     @hamayanhamayan0
    /   \     | |
    /   / ̄ ̄ ̄ ̄/  |
  __(__ニつ/     _/ .| .|____
     \/____/ (u ⊃
---------------------------------------------------------------------------------------------------*/














int N, A, B;
//---------------------------------------------------------------------------------------------------
mint count(int x) {
    // nCx
    mint res = 1;
    rep(i, 0, x) res *= N - i;
    rep(i, 1, x + 1) res /= i;
    return res;
}
//---------------------------------------------------------------------------------------------------
void _main() {
    cin >> N >> A >> B;

    mint ans = (mint(2) ^ N) - 1;
    ans -= count(A);
    ans -= count(B);
    cout << ans << endl;
}





Submission Info

Submission Time
Task D - Bouquet
User hamayanhamayan
Language C++14 (GCC 5.4.1)
Score 400
Code Size 3463 Byte
Status AC
Exec Time 81 ms
Memory 256 KB

Judge Result

Set Name All Sample
Score / Max Score 400 / 400 0 / 0
Status
AC × 22
AC × 2
Set Name Test Cases
All sample_01.txt, sample_02.txt, testcase_1.txt, testcase_10.txt, testcase_11.txt, testcase_12.txt, testcase_13.txt, testcase_14.txt, testcase_15.txt, testcase_16.txt, testcase_17.txt, testcase_18.txt, testcase_19.txt, testcase_2.txt, testcase_20.txt, testcase_3.txt, testcase_4.txt, testcase_5.txt, testcase_6.txt, testcase_7.txt, testcase_8.txt, testcase_9.txt
Sample sample_01.txt, sample_02.txt
Case Name Status Exec Time Memory
sample_01.txt AC 1 ms 256 KB
sample_02.txt AC 63 ms 256 KB
testcase_1.txt AC 1 ms 256 KB
testcase_10.txt AC 35 ms 256 KB
testcase_11.txt AC 33 ms 256 KB
testcase_12.txt AC 40 ms 256 KB
testcase_13.txt AC 42 ms 256 KB
testcase_14.txt AC 20 ms 256 KB
testcase_15.txt AC 44 ms 256 KB
testcase_16.txt AC 24 ms 256 KB
testcase_17.txt AC 25 ms 256 KB
testcase_18.txt AC 38 ms 256 KB
testcase_19.txt AC 27 ms 256 KB
testcase_2.txt AC 1 ms 256 KB
testcase_20.txt AC 72 ms 256 KB
testcase_3.txt AC 1 ms 256 KB
testcase_4.txt AC 1 ms 256 KB
testcase_5.txt AC 81 ms 256 KB
testcase_6.txt AC 30 ms 256 KB
testcase_7.txt AC 27 ms 256 KB
testcase_8.txt AC 59 ms 256 KB
testcase_9.txt AC 20 ms 256 KB