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Submission #114236

# Submission time Handle Problem Language Result Execution time Memory
114236 2019-05-31T13:31:40 Z popovicirobert Asceticism (JOI18_asceticism) C++14
100 / 100
 34 ms 1220 KB 
#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
// 217
// 44

using namespace std;

const int MOD = (int) 1e9 + 7;

inline int lgput(int a, int b) {
    int ans = 1;
    while(b > 0) {
        if(b & 1)
            ans = (1LL * ans * a) % MOD;
        b >>= 1;
        a = (1LL * a * a) % MOD;
    }
    return ans;
}

const int MAXN = (int) 1e5 + 5;

int fact[MAXN + 1], invfact[MAXN + 1];

inline int comb(int n, int k) {
    if(n < k) return 0;
    return (1LL * fact[n] * (1LL * invfact[k] * invfact[n - k] % MOD)) % MOD;
}

int main() {
    //ifstream cin("A.in");
    //ofstream cout("A.out");
    int i, n, k;
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);

    cin >> n >> k;

    fact[0] = invfact[0] = 1;
    for(i = 1; i <= n + 1; i++) {
        fact[i] = (1LL * fact[i - 1] * i) % MOD;
        invfact[i] = lgput(fact[i], MOD - 2);
    }

    k--;

    int ans = 0;
    for(i = 0; i <= k; i++) {
        int cur = (1LL * comb(n + 1, i) * lgput(k - i + 1, n)) % MOD;

        if(i & 1) {
            cur *= -1;
        }

        ans += cur;

        if(ans < 0) {
            ans += MOD;
        }
        if(ans >= MOD) {
            ans -= MOD;
        }
    }

    cout << ans;

    //cin.close();
    //cout.close();
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 432 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 3 ms 384 KB Output is correct
26 Correct 2 ms 384 KB Output is correct
27 Correct 3 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 3 ms 384 KB Output is correct
30 Correct 4 ms 384 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 2 ms 384 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 384 KB Output is correct
13 Correct 2 ms 384 KB Output is correct
14 Correct 2 ms 384 KB Output is correct
15 Correct 2 ms 384 KB Output is correct
16 Correct 2 ms 384 KB Output is correct
17 Correct 2 ms 384 KB Output is correct
18 Correct 2 ms 384 KB Output is correct
19 Correct 2 ms 384 KB Output is correct
20 Correct 2 ms 384 KB Output is correct
21 Correct 2 ms 384 KB Output is correct
22 Correct 2 ms 384 KB Output is correct
23 Correct 2 ms 432 KB Output is correct
24 Correct 2 ms 384 KB Output is correct
25 Correct 3 ms 384 KB Output is correct
26 Correct 2 ms 384 KB Output is correct
27 Correct 3 ms 384 KB Output is correct
28 Correct 2 ms 384 KB Output is correct
29 Correct 3 ms 384 KB Output is correct
30 Correct 4 ms 384 KB Output is correct
31 Correct 23 ms 1148 KB Output is correct
32 Correct 24 ms 1144 KB Output is correct
33 Correct 22 ms 1152 KB Output is correct
34 Correct 22 ms 1152 KB Output is correct
35 Correct 28 ms 1144 KB Output is correct
36 Correct 28 ms 1220 KB Output is correct
37 Correct 34 ms 1152 KB Output is correct
38 Correct 7 ms 512 KB Output is correct
39 Correct 17 ms 896 KB Output is correct
40 Correct 23 ms 1144 KB Output is correct