Submission #724912

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
724912	2023-04-16T08:41:50 Z	fatemetmhr	Asceticism (JOI18_asceticism)	C++17	100 / 100	31 ms	8152 KB

asceticism

// ~ Be Name Khoda ~

#include <bits/stdc++.h>
//#pragma GCC optimize ("Ofast")
//#pragma GCC target("avx2")
//#pragma GCC optimize("unroll-loops,O3")

using namespace std;

typedef long long ll;

#define pb       push_back
#define mp       make_pair
#define all(x)   x.begin(), x.end()
#define fi       first
#define se       second

const int maxn  =  1e6   + 10;
const int maxn5 =  5e5   + 10;
const int maxnt =  1.2e6 + 10;
const int maxn3 =  1e3   + 10;
const int mod   =  1e9   +  7;
const ll  inf   =  1e18;

ll fact[maxn];

inline void fix(int &a){
    if(a < 0)
        a += mod;
    if(a >= mod)
        a -= mod;
}

inline ll pw(ll a, ll b){
    ll ret = 1;
    for(; b; b >>= 1, a = a * a % mod)
        if(b & 1) ret = ret * a % mod;
    return ret;
}

inline ll ent(int n, int r){
    return fact[n] * pw(fact[r] * fact[n - r] % mod, mod - 2) % mod;
}

int main()
{
    ios_base::sync_with_stdio(false); cin.tie(0);

    fact[0] = 1;
    for(int i = 1; i < maxn; i++)
        fact[i] = i * fact[i - 1] % mod;

    int n, k; cin >> n >> k;
    int ans = 0;
    for(int i = 0; i < k; i++){
        fix(ans += pw(k - i, n) * ent(n + 1, i) % mod * (i % 2 ? -1 : 1));
    }
    cout << ans << endl;
}

Subtask #1
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	8 ms	8020 KB	Output is correct
2	Correct	8 ms	8148 KB	Output is correct
3	Correct	9 ms	8048 KB	Output is correct
4	Correct	8 ms	8148 KB	Output is correct
5	Correct	8 ms	8052 KB	Output is correct
6	Correct	9 ms	8148 KB	Output is correct
7	Correct	9 ms	8140 KB	Output is correct
8	Correct	8 ms	8060 KB	Output is correct
9	Correct	8 ms	8148 KB	Output is correct
10	Correct	9 ms	8020 KB	Output is correct

Subtask #2
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	8 ms	8020 KB	Output is correct
2	Correct	8 ms	8148 KB	Output is correct
3	Correct	9 ms	8048 KB	Output is correct
4	Correct	8 ms	8148 KB	Output is correct
5	Correct	8 ms	8052 KB	Output is correct
6	Correct	9 ms	8148 KB	Output is correct
7	Correct	9 ms	8140 KB	Output is correct
8	Correct	8 ms	8060 KB	Output is correct
9	Correct	8 ms	8148 KB	Output is correct
10	Correct	9 ms	8020 KB	Output is correct
11	Correct	8 ms	8148 KB	Output is correct
12	Correct	8 ms	8148 KB	Output is correct
13	Correct	8 ms	8052 KB	Output is correct
14	Correct	9 ms	8148 KB	Output is correct
15	Correct	8 ms	8144 KB	Output is correct
16	Correct	8 ms	8020 KB	Output is correct
17	Correct	8 ms	8148 KB	Output is correct
18	Correct	9 ms	8048 KB	Output is correct
19	Correct	9 ms	8020 KB	Output is correct
20	Correct	10 ms	8088 KB	Output is correct

Subtask #3
25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	8 ms	8020 KB	Output is correct
2	Correct	8 ms	8148 KB	Output is correct
3	Correct	9 ms	8048 KB	Output is correct
4	Correct	8 ms	8148 KB	Output is correct
5	Correct	8 ms	8052 KB	Output is correct
6	Correct	9 ms	8148 KB	Output is correct
7	Correct	9 ms	8140 KB	Output is correct
8	Correct	8 ms	8060 KB	Output is correct
9	Correct	8 ms	8148 KB	Output is correct
10	Correct	9 ms	8020 KB	Output is correct
11	Correct	8 ms	8148 KB	Output is correct
12	Correct	8 ms	8148 KB	Output is correct
13	Correct	8 ms	8052 KB	Output is correct
14	Correct	9 ms	8148 KB	Output is correct
15	Correct	8 ms	8144 KB	Output is correct
16	Correct	8 ms	8020 KB	Output is correct
17	Correct	8 ms	8148 KB	Output is correct
18	Correct	9 ms	8048 KB	Output is correct
19	Correct	9 ms	8020 KB	Output is correct
20	Correct	10 ms	8088 KB	Output is correct
21	Correct	8 ms	8124 KB	Output is correct
22	Correct	8 ms	8020 KB	Output is correct
23	Correct	8 ms	8080 KB	Output is correct
24	Correct	8 ms	8152 KB	Output is correct
25	Correct	8 ms	8148 KB	Output is correct
26	Correct	9 ms	8096 KB	Output is correct
27	Correct	9 ms	8064 KB	Output is correct
28	Correct	8 ms	8048 KB	Output is correct
29	Correct	9 ms	8148 KB	Output is correct
30	Correct	10 ms	8148 KB	Output is correct

Subtask #4
51.0 / 51.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	8 ms	8020 KB	Output is correct
2	Correct	8 ms	8148 KB	Output is correct
3	Correct	9 ms	8048 KB	Output is correct
4	Correct	8 ms	8148 KB	Output is correct
5	Correct	8 ms	8052 KB	Output is correct
6	Correct	9 ms	8148 KB	Output is correct
7	Correct	9 ms	8140 KB	Output is correct
8	Correct	8 ms	8060 KB	Output is correct
9	Correct	8 ms	8148 KB	Output is correct
10	Correct	9 ms	8020 KB	Output is correct
11	Correct	8 ms	8148 KB	Output is correct
12	Correct	8 ms	8148 KB	Output is correct
13	Correct	8 ms	8052 KB	Output is correct
14	Correct	9 ms	8148 KB	Output is correct
15	Correct	8 ms	8144 KB	Output is correct
16	Correct	8 ms	8020 KB	Output is correct
17	Correct	8 ms	8148 KB	Output is correct
18	Correct	9 ms	8048 KB	Output is correct
19	Correct	9 ms	8020 KB	Output is correct
20	Correct	10 ms	8088 KB	Output is correct
21	Correct	8 ms	8124 KB	Output is correct
22	Correct	8 ms	8020 KB	Output is correct
23	Correct	8 ms	8080 KB	Output is correct
24	Correct	8 ms	8152 KB	Output is correct
25	Correct	8 ms	8148 KB	Output is correct
26	Correct	9 ms	8096 KB	Output is correct
27	Correct	9 ms	8064 KB	Output is correct
28	Correct	8 ms	8048 KB	Output is correct
29	Correct	9 ms	8148 KB	Output is correct
30	Correct	10 ms	8148 KB	Output is correct
31	Correct	9 ms	8152 KB	Output is correct
32	Correct	8 ms	8020 KB	Output is correct
33	Correct	9 ms	8020 KB	Output is correct
34	Correct	11 ms	8152 KB	Output is correct
35	Correct	25 ms	8020 KB	Output is correct
36	Correct	28 ms	8020 KB	Output is correct
37	Correct	31 ms	8152 KB	Output is correct
38	Correct	11 ms	8020 KB	Output is correct
39	Correct	15 ms	8148 KB	Output is correct
40	Correct	17 ms	8144 KB	Output is correct

Submission #724912

Compilation message

Subtask #1 4.0 / 4.0

Subtask #2 20.0 / 20.0

Subtask #3 25.0 / 25.0

Subtask #4 51.0 / 51.0

Subtask #1
4.0 / 4.0

Subtask #2
20.0 / 20.0

Subtask #3
25.0 / 25.0

Subtask #4
51.0 / 51.0