oj.uz

Submission #478331

# Submission time Handle Problem Language Result Execution time Memory
478331 2021-10-07T04:08:31 Z Mike4235 Asceticism (JOI18_asceticism) C++17
100 / 100
 40 ms 1104 KB 
/*#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,fma")*/
// only when really needed

/* GNU G++17 7.3.0: No long long for faster code
   GNU G++17 9.2.0 (64 bit, msys 2): Long long only for faster code */
 
#include <bits/stdc++.h>
  
#define for1(i,a,b) for (int i = a; i <= b; i++)
#define for2(i,a,b) for (int i = a; i >= b; i--)
#define int long long

#define sz(a) (int)a.size()
#define pii pair<int,int>
#define pb push_back
 
/*
__builtin_popcountll(x) : Number of 1-bit
__builtin_ctzll(x) : Number of trailing 0
*/
 
#define PI 3.1415926535897932384626433832795
#define INF 1000000000000000000
#define MOD 1000000007
#define MOD2 1000000009
#define EPS 1e-6

using namespace std;

int power(int x, int n) {
    int res = 1;
    while (n) {
        if (n & 1) res = res * x % MOD;
        x = x * x % MOD;
        n >>= 1;
    }
    return res;
}

int n, k, res, fact[100005];

int nCk(int n, int k) {
    return fact[n] * power(fact[k], MOD - 2) % MOD * power(fact[n - k], MOD - 2) % MOD;
}

signed main() {
    
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);

    // freopen("cf.inp", "r", stdin);
    // freopen("cf.out", "w", stdout);

    cin >> n >> k;

    fact[0] = 1;
    for1(i,1,n + 1) fact[i] = fact[i - 1] * i % MOD;

    for1(i,0,k) {
        int x = power(k - i, n) * nCk(n + 1, i);
        if (i & 1) res = (res - x + MOD) % MOD;
        else res = (res + x) % MOD;
    }

    cout << res;
    
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 1 ms 208 KB Output is correct
8 Correct 0 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 1 ms 208 KB Output is correct
8 Correct 0 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 1 ms 208 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 0 ms 324 KB Output is correct
15 Correct 1 ms 208 KB Output is correct
16 Correct 1 ms 208 KB Output is correct
17 Correct 0 ms 208 KB Output is correct
18 Correct 1 ms 208 KB Output is correct
19 Correct 1 ms 208 KB Output is correct
20 Correct 1 ms 332 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 1 ms 208 KB Output is correct
8 Correct 0 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 1 ms 208 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 0 ms 324 KB Output is correct
15 Correct 1 ms 208 KB Output is correct
16 Correct 1 ms 208 KB Output is correct
17 Correct 0 ms 208 KB Output is correct
18 Correct 1 ms 208 KB Output is correct
19 Correct 1 ms 208 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 208 KB Output is correct
24 Correct 1 ms 208 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 208 KB Output is correct
29 Correct 1 ms 208 KB Output is correct
30 Correct 1 ms 208 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 1 ms 208 KB Output is correct
8 Correct 0 ms 208 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 208 KB Output is correct
11 Correct 1 ms 208 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 0 ms 324 KB Output is correct
15 Correct 1 ms 208 KB Output is correct
16 Correct 1 ms 208 KB Output is correct
17 Correct 0 ms 208 KB Output is correct
18 Correct 1 ms 208 KB Output is correct
19 Correct 1 ms 208 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 208 KB Output is correct
24 Correct 1 ms 208 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 208 KB Output is correct
29 Correct 1 ms 208 KB Output is correct
30 Correct 1 ms 208 KB Output is correct
31 Correct 2 ms 976 KB Output is correct
32 Correct 2 ms 1104 KB Output is correct
33 Correct 3 ms 1104 KB Output is correct
34 Correct 7 ms 976 KB Output is correct
35 Correct 34 ms 1076 KB Output is correct
36 Correct 40 ms 1096 KB Output is correct
37 Correct 40 ms 976 KB Output is correct
38 Correct 5 ms 336 KB Output is correct
39 Correct 13 ms 892 KB Output is correct
40 Correct 17 ms 1100 KB Output is correct