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ABC_156_D.cpp
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47 lines (41 loc) · 861 Bytes
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#include <iostream>
#include <string>
#include <algorithm>
#include <math.h>
#include <vector>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <functional>
#include <cstdlib>
#include <list>
#define ll long long
#define MOD 1000000007
using namespace std;
ll _pow(ll p, ll e) {
ll ret = 1;
while (e) {
if (e & 1) ret = ret*p %MOD;
p = (p * p) % MOD;
e /= 2;
}
return ret;
}
ll comb(ll r, ll n) {
ll numOfANumer = 1;
for (int i = 0; i < r; i++) {
numOfANumer = numOfANumer * (n - i) % MOD;
}
ll numOfADen = 1;
for (int i = 1; i <= r; i++) {
numOfADen = numOfADen * i % MOD;
}
return numOfANumer * _pow(numOfADen, MOD - 2) % MOD;
}
int main() {
ll n, a, b;
cin >> n >> a >> b;
ll ans = _pow(2, n) - 1;
cout << (2*MOD + ans - comb(a,n)- comb(b,n))%MOD << endl;
}