This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <memory.h>
#include <math.h>
#include <assert.h>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <string>
#include <functional>
#include <vector>
#include <deque>
#include <utility>
#include <bitset>
#include <limits.h>
#include <time.h>
#include <functional>
#include <numeric>
using namespace std;
typedef long long ll;
typedef unsigned long long llu;
typedef double lf;
typedef unsigned int uint;
typedef long double llf;
typedef pair<int, int> pii;
typedef pair<ll, int> pli;
#define debug(format, ...) printf(format, __VA_ARGS__);
const ll MOD = (ll)1e9 + 7;
ll modpow (ll a, ll b) {
a %= MOD;
ll ret = 1;
while(b > 0) {
if(b & 1) ret = (ret * a) % MOD;
a = (a * a) % MOD;
b >>= 1;
}
return ret;
}
struct mint {
ll val;
mint(ll val = 0): val((val % MOD + MOD) % MOD) { }
mint operator+(mint p) { return val + p.val; }
mint operator-(mint p) { return val - p.val; }
mint operator*(mint p) { return val * p.val; }
mint operator/(mint p) { return val * modpow(p.val, MOD-2); }
};
int N, K;
const int N_ = 1005000;
mint inv[N_];
mint fac[N_], invfac[N_];
int main() {
scanf("%d%d", &N, &K);
// precalc section
{
inv[1] = 1;
for(int i = 2; i < N_; i++) {
inv[i] = inv[MOD % i] * -(MOD / i);
}
invfac[0] = fac[0] = 1;
for(int i = 1; i < N_; i++) {
fac[i] = fac[i-1] * i;
invfac[i] = invfac[i-1] * inv[i];
}
}
mint ans;
for(int i = K+1; i <= N; i++) {
ans = ans + fac[N+1] * inv[i+1] * (N+1-i);
}
printf("%lld\n", ans.val);
return 0;
}
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