Submission #94594

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
94594	2019-01-21T13:42:48 Z	aminra	Asceticism (JOI18_asceticism)	C++14	100 / 100	41 ms	2040 KB

asceticism

//Smaug never desolated!!
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
const int MAXN = (int)1e5 + 7;
const int infint = (int)1e8 + 3;
const int MOD = (int)1e9 + 7;
const ll inf = (ll)1e18;
ll fact[MAXN], facrev[MAXN], n, k;
ll pwr(ll a, ll b)
{
	if(b == 0)
		return 1;
	if(b == 1)
		return a;
	ll c = pwr(a, b / 2);
	c = (c * c) % MOD;
	if(b % 2)
		c = (c * a) % MOD;
	return c;
}
ll inv(ll p)
{
	return pwr(p, MOD - 2);
}
ll C(ll n, ll k)
{
	ll mul = fact[n];
	mul = (mul * facrev[k]) % MOD;
	mul = (mul * facrev[n - k]) % MOD;
	return mul;
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(0); cout.tie(0);
	cin >> n >> k;
	fact[0] = 1;
	for (int i = 1; i < MAXN; i++)
		fact[i] = (fact[i - 1] * i) % MOD;
	for (int i = MAXN - 1; i >= 0; i--)
		facrev[i] = inv(fact[i]);
	ll ans = 0;
	for (int j = 0; j <= k; j++)
	{
		ll cur = pwr(k - j, n) * C(n + 1, j) % MOD;
		if(j % 2 == 0)
			ans = (ans + cur) % MOD;
		else
			ans = (ans - cur + MOD) % MOD;
	}
	cout << ans;
}

Subtask #1

4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	1920 KB	Output is correct
2	Correct	28 ms	1912 KB	Output is correct
3	Correct	28 ms	2012 KB	Output is correct
4	Correct	28 ms	1912 KB	Output is correct
5	Correct	28 ms	1912 KB	Output is correct
6	Correct	29 ms	1912 KB	Output is correct
7	Correct	28 ms	1912 KB	Output is correct
8	Correct	28 ms	1912 KB	Output is correct
9	Correct	27 ms	1912 KB	Output is correct
10	Correct	28 ms	2040 KB	Output is correct

Subtask #2

20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	1920 KB	Output is correct
2	Correct	28 ms	1912 KB	Output is correct
3	Correct	28 ms	2012 KB	Output is correct
4	Correct	28 ms	1912 KB	Output is correct
5	Correct	28 ms	1912 KB	Output is correct
6	Correct	29 ms	1912 KB	Output is correct
7	Correct	28 ms	1912 KB	Output is correct
8	Correct	28 ms	1912 KB	Output is correct
9	Correct	27 ms	1912 KB	Output is correct
10	Correct	28 ms	2040 KB	Output is correct
11	Correct	28 ms	1916 KB	Output is correct
12	Correct	28 ms	1912 KB	Output is correct
13	Correct	29 ms	1912 KB	Output is correct
14	Correct	29 ms	1912 KB	Output is correct
15	Correct	29 ms	1936 KB	Output is correct
16	Correct	30 ms	1912 KB	Output is correct
17	Correct	28 ms	1884 KB	Output is correct
18	Correct	28 ms	1912 KB	Output is correct
19	Correct	29 ms	1884 KB	Output is correct
20	Correct	28 ms	1912 KB	Output is correct

Subtask #3

25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	1920 KB	Output is correct
2	Correct	28 ms	1912 KB	Output is correct
3	Correct	28 ms	2012 KB	Output is correct
4	Correct	28 ms	1912 KB	Output is correct
5	Correct	28 ms	1912 KB	Output is correct
6	Correct	29 ms	1912 KB	Output is correct
7	Correct	28 ms	1912 KB	Output is correct
8	Correct	28 ms	1912 KB	Output is correct
9	Correct	27 ms	1912 KB	Output is correct
10	Correct	28 ms	2040 KB	Output is correct
11	Correct	28 ms	1916 KB	Output is correct
12	Correct	28 ms	1912 KB	Output is correct
13	Correct	29 ms	1912 KB	Output is correct
14	Correct	29 ms	1912 KB	Output is correct
15	Correct	29 ms	1936 KB	Output is correct
16	Correct	30 ms	1912 KB	Output is correct
17	Correct	28 ms	1884 KB	Output is correct
18	Correct	28 ms	1912 KB	Output is correct
19	Correct	29 ms	1884 KB	Output is correct
20	Correct	28 ms	1912 KB	Output is correct
21	Correct	29 ms	1916 KB	Output is correct
22	Correct	28 ms	1916 KB	Output is correct
23	Correct	28 ms	1912 KB	Output is correct
24	Correct	28 ms	1912 KB	Output is correct
25	Correct	28 ms	1912 KB	Output is correct
26	Correct	28 ms	1912 KB	Output is correct
27	Correct	29 ms	1912 KB	Output is correct
28	Correct	29 ms	1912 KB	Output is correct
29	Correct	28 ms	1912 KB	Output is correct
30	Correct	28 ms	1912 KB	Output is correct

Subtask #4

51.0 / 51.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	1920 KB	Output is correct
2	Correct	28 ms	1912 KB	Output is correct
3	Correct	28 ms	2012 KB	Output is correct
4	Correct	28 ms	1912 KB	Output is correct
5	Correct	28 ms	1912 KB	Output is correct
6	Correct	29 ms	1912 KB	Output is correct
7	Correct	28 ms	1912 KB	Output is correct
8	Correct	28 ms	1912 KB	Output is correct
9	Correct	27 ms	1912 KB	Output is correct
10	Correct	28 ms	2040 KB	Output is correct
11	Correct	28 ms	1916 KB	Output is correct
12	Correct	28 ms	1912 KB	Output is correct
13	Correct	29 ms	1912 KB	Output is correct
14	Correct	29 ms	1912 KB	Output is correct
15	Correct	29 ms	1936 KB	Output is correct
16	Correct	30 ms	1912 KB	Output is correct
17	Correct	28 ms	1884 KB	Output is correct
18	Correct	28 ms	1912 KB	Output is correct
19	Correct	29 ms	1884 KB	Output is correct
20	Correct	28 ms	1912 KB	Output is correct
21	Correct	29 ms	1916 KB	Output is correct
22	Correct	28 ms	1916 KB	Output is correct
23	Correct	28 ms	1912 KB	Output is correct
24	Correct	28 ms	1912 KB	Output is correct
25	Correct	28 ms	1912 KB	Output is correct
26	Correct	28 ms	1912 KB	Output is correct
27	Correct	29 ms	1912 KB	Output is correct
28	Correct	29 ms	1912 KB	Output is correct
29	Correct	28 ms	1912 KB	Output is correct
30	Correct	28 ms	1912 KB	Output is correct
31	Correct	29 ms	1912 KB	Output is correct
32	Correct	29 ms	1872 KB	Output is correct
33	Correct	29 ms	1912 KB	Output is correct
34	Correct	30 ms	1912 KB	Output is correct
35	Correct	38 ms	1956 KB	Output is correct
36	Correct	41 ms	1912 KB	Output is correct
37	Correct	40 ms	1960 KB	Output is correct
38	Correct	29 ms	1912 KB	Output is correct
39	Correct	32 ms	1912 KB	Output is correct
40	Correct	34 ms	1916 KB	Output is correct