Submission #44072

# Submission time Handle Problem Language Result Execution time Memory
44072 2018-03-29T15:42:05 Z zadrga Asceticism (JOI18_asceticism) C++14
100 / 100
35 ms 2276 KB
#include <bits/stdc++.h>

using namespace std;

#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define INF (1LL << 55)
#define MOD (1000 * 1000 * 1000 + 7)
#define maxn 100111

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;

ll fakt[maxn], inv[maxn];

ll fastexp(ll x, ll y){
	ll ret = 1LL;
	while(y){
		if(y & 1)
			ret = (ret * x) % MOD;

		x = (x * x) % MOD;
		y >>= 1;
	}
	return ret;
}

ll C(ll x, ll y){
	ll ret = fakt[x] * inv[y] % MOD * inv[x - y] % MOD;
	return ret;
}

ll eulerian_number(ll n, ll k){
	ll ans = 0LL;
	for(int i = 0; i <= k + 1; i++){
		ll cur = fastexp(-1LL, i) * C(n + 1LL, i) % MOD * fastexp(k + 1LL - i, n) % MOD;
		ans = (ans + cur + MOD) % MOD;
	}
	return ans;
}

void preprocess(){
	fakt[0] = inv[0] = 1LL;
	for(ll i = 1; i < maxn; i++){
		fakt[i] = (fakt[i - 1] * i) % MOD; 
		inv[i] = fastexp(fakt[i], MOD - 2);
	}
}

int main(){
	preprocess();

	ll n, k;
	scanf("%lld%lld", &n, &k);
	printf("%lld\n", eulerian_number(n, n - k) );

	return 0;
}

Compilation message

asceticism.cpp: In function 'int main()':
asceticism.cpp:57:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%lld%lld", &n, &k);
  ~~~~~^~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 20 ms 1912 KB Output is correct
2 Correct 19 ms 1912 KB Output is correct
3 Correct 19 ms 1920 KB Output is correct
4 Correct 20 ms 2020 KB Output is correct
5 Correct 19 ms 2148 KB Output is correct
6 Correct 19 ms 2148 KB Output is correct
7 Correct 19 ms 2148 KB Output is correct
8 Correct 21 ms 2148 KB Output is correct
9 Correct 19 ms 2148 KB Output is correct
10 Correct 19 ms 2148 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 20 ms 1912 KB Output is correct
2 Correct 19 ms 1912 KB Output is correct
3 Correct 19 ms 1920 KB Output is correct
4 Correct 20 ms 2020 KB Output is correct
5 Correct 19 ms 2148 KB Output is correct
6 Correct 19 ms 2148 KB Output is correct
7 Correct 19 ms 2148 KB Output is correct
8 Correct 21 ms 2148 KB Output is correct
9 Correct 19 ms 2148 KB Output is correct
10 Correct 19 ms 2148 KB Output is correct
11 Correct 19 ms 2224 KB Output is correct
12 Correct 19 ms 2224 KB Output is correct
13 Correct 19 ms 2224 KB Output is correct
14 Correct 19 ms 2240 KB Output is correct
15 Correct 19 ms 2240 KB Output is correct
16 Correct 20 ms 2240 KB Output is correct
17 Correct 20 ms 2240 KB Output is correct
18 Correct 19 ms 2240 KB Output is correct
19 Correct 20 ms 2240 KB Output is correct
20 Correct 19 ms 2240 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 20 ms 1912 KB Output is correct
2 Correct 19 ms 1912 KB Output is correct
3 Correct 19 ms 1920 KB Output is correct
4 Correct 20 ms 2020 KB Output is correct
5 Correct 19 ms 2148 KB Output is correct
6 Correct 19 ms 2148 KB Output is correct
7 Correct 19 ms 2148 KB Output is correct
8 Correct 21 ms 2148 KB Output is correct
9 Correct 19 ms 2148 KB Output is correct
10 Correct 19 ms 2148 KB Output is correct
11 Correct 19 ms 2224 KB Output is correct
12 Correct 19 ms 2224 KB Output is correct
13 Correct 19 ms 2224 KB Output is correct
14 Correct 19 ms 2240 KB Output is correct
15 Correct 19 ms 2240 KB Output is correct
16 Correct 20 ms 2240 KB Output is correct
17 Correct 20 ms 2240 KB Output is correct
18 Correct 19 ms 2240 KB Output is correct
19 Correct 20 ms 2240 KB Output is correct
20 Correct 19 ms 2240 KB Output is correct
21 Correct 19 ms 2240 KB Output is correct
22 Correct 20 ms 2240 KB Output is correct
23 Correct 21 ms 2240 KB Output is correct
24 Correct 19 ms 2240 KB Output is correct
25 Correct 19 ms 2240 KB Output is correct
26 Correct 19 ms 2240 KB Output is correct
27 Correct 19 ms 2240 KB Output is correct
28 Correct 19 ms 2240 KB Output is correct
29 Correct 20 ms 2244 KB Output is correct
30 Correct 19 ms 2244 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 20 ms 1912 KB Output is correct
2 Correct 19 ms 1912 KB Output is correct
3 Correct 19 ms 1920 KB Output is correct
4 Correct 20 ms 2020 KB Output is correct
5 Correct 19 ms 2148 KB Output is correct
6 Correct 19 ms 2148 KB Output is correct
7 Correct 19 ms 2148 KB Output is correct
8 Correct 21 ms 2148 KB Output is correct
9 Correct 19 ms 2148 KB Output is correct
10 Correct 19 ms 2148 KB Output is correct
11 Correct 19 ms 2224 KB Output is correct
12 Correct 19 ms 2224 KB Output is correct
13 Correct 19 ms 2224 KB Output is correct
14 Correct 19 ms 2240 KB Output is correct
15 Correct 19 ms 2240 KB Output is correct
16 Correct 20 ms 2240 KB Output is correct
17 Correct 20 ms 2240 KB Output is correct
18 Correct 19 ms 2240 KB Output is correct
19 Correct 20 ms 2240 KB Output is correct
20 Correct 19 ms 2240 KB Output is correct
21 Correct 19 ms 2240 KB Output is correct
22 Correct 20 ms 2240 KB Output is correct
23 Correct 21 ms 2240 KB Output is correct
24 Correct 19 ms 2240 KB Output is correct
25 Correct 19 ms 2240 KB Output is correct
26 Correct 19 ms 2240 KB Output is correct
27 Correct 19 ms 2240 KB Output is correct
28 Correct 19 ms 2240 KB Output is correct
29 Correct 20 ms 2244 KB Output is correct
30 Correct 19 ms 2244 KB Output is correct
31 Correct 35 ms 2244 KB Output is correct
32 Correct 35 ms 2244 KB Output is correct
33 Correct 34 ms 2244 KB Output is correct
34 Correct 32 ms 2244 KB Output is correct
35 Correct 22 ms 2244 KB Output is correct
36 Correct 21 ms 2244 KB Output is correct
37 Correct 19 ms 2244 KB Output is correct
38 Correct 20 ms 2244 KB Output is correct
39 Correct 25 ms 2244 KB Output is correct
40 Correct 31 ms 2276 KB Output is correct