-
Notifications
You must be signed in to change notification settings - Fork 0
/
abc156_e.cpp
82 lines (73 loc) · 1.75 KB
/
abc156_e.cpp
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
// iagorrr ;)
#include <bits/stdc++.h>
#include <atcoder/modint.hpp>
#include <atcoder/modint>
using namespace std;
// #ifdef DEBUG
// #include "debug.cpp"
// #else
// #define dbg(...) 666
// #endif
#define endl '\n'
#define fastio \
ios_base::sync_with_stdio(false); \
cin.tie(0); \
cout.tie(0);
#define rep(i, l, r) for (int i = (l); i < (r); i++)
#define len(__x) (ll) __x.size()
using ll = long long;
using vll = vector<ll>;
using pll = pair<ll, ll>;
using vll2d = vector<vll>;
using vi = vector<int>;
using pii = pair<int, int>;
using vii = vector<pii>;
using vc = vector<char>;
#define all(a) a.begin(), a.end()
#define INV(xxxx) \
for (auto &xxx : xxxx) cin >> xxx;
#define PRINTV(___x) \
for_each(all(___x), [](ll &____x) { cout << ____x << ' '; }), cout << '\n';
#define snd second
#define fst first
#define pb(___x) push_back(___x)
#define mp(___a, ___b) make_pair(___a, ___b)
#define eb(___x) emplace_back(___x)
#define rsz(___x, ___n) resize(___x, ___n)
const ll INF = 1e18;
using mint = atcoder::modint1000000007;
ll mod = 1e9 + 7;
ll fexp(ll a, int n) {
if (n == 0) return 1ll;
if (n == 1) return a % mod;
ll x = fexp(a, n / 2ll) % mod;
return (x * x * (n & 1ll ? a : 1ll)) % mod;
}
mint binom(ll n, ll k) {
mint up = 1;
mint down = 1;
for(ll i = 0; i < k; ++i) {
up *= (n-i);
down *= (i+1);
}
return up/down;
}
void run() {
ll n, a, b;
cin >> n >> a >> b;
mint ans = fexp(2, n);
auto cs1 = binom(n, a);
ans -= cs1;
auto cs2 = binom(n, b);
ans -= cs2;
ans -= 1;
cout << ans.val() << endl;
}
int32_t main(void) {
fastio;
int t;
t = 1;
// cin >> t;
while (t--) run();
}
// AC, math, combinatorics