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Submission #768812

# Submission time Handle Problem Language Result Execution time Memory
768812 2023-06-28T16:46:02 Z raysh07 Asceticism (JOI18_asceticism) C++17
100 / 100
 27 ms 16076 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define INF (int)1e18
#define f first
#define s second

mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());

const int facN = 1e6 + 1;
const long long mod = 1e9 + 7;
long long fac[facN], invfac[facN];

long long power(int x, int y){
    if (y==0) return 1;
    
    long long v = power(x, y/2);
    v *= v; v%= mod;
    
    if (y&1) return v * x % mod;
    else return v;
}

void Factorials(bool inverse = true){
    fac[0] = invfac[0] = 1;
    for (int i=1; i<facN; i++){
        fac[i] = fac[i-1] * i % mod;
    }
    
    if (!inverse) return;
    
    invfac[facN - 1] = power(fac[facN - 1], mod - 2);
    for (int i=facN - 2; i>=0; i--){
        invfac[i] = invfac[i+1] * (i + 1) % mod;
    }
}

long long C(int n, int r){
    return fac[n] * invfac[r] % mod * invfac[n-r] % mod;
}

long long P(int n, int r){
    return fac[n] * invfac[n-r] % mod;
}

long long Solutions(int n, int r){
    //x1 + .... + xn = r non negative integer solutions 
    return C(n + r - 1, n - 1);
}

long long inverse(int n){
    return power(n, mod - 2);
}

//remember to update facN and mod to the value you want 
//remember to actually call the Factorials function


void Solve() 
{
    Factorials();
    int n, k; cin >> n >> k;
    
    int ans = 0;
    for (int i = 0; i <= k; i++){
        int ways = C(n + 1, i) * power(k - i, n) % mod;
        
        if (i & 1) ans -= ways;
        else ans += ways;
    }
    
    ans %= mod;
    if (ans < 0) ans += mod;
    
    cout << ans << "\n";
}

int32_t main() 
{
    auto begin = std::chrono::high_resolution_clock::now();
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int t = 1;
 //   cin >> t;
    for(int i = 1; i <= t; i++) 
    {
        //cout << "Case #" << i << ": ";
        Solve();
    }
    auto end = std::chrono::high_resolution_clock::now();
    auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
    cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n"; 
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 15956 KB Output is correct
2 Correct 20 ms 15856 KB Output is correct
3 Correct 18 ms 15956 KB Output is correct
4 Correct 19 ms 15980 KB Output is correct
5 Correct 18 ms 15872 KB Output is correct
6 Correct 19 ms 15944 KB Output is correct
7 Correct 18 ms 15904 KB Output is correct
8 Correct 18 ms 15968 KB Output is correct
9 Correct 19 ms 15956 KB Output is correct
10 Correct 19 ms 15928 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 15956 KB Output is correct
2 Correct 20 ms 15856 KB Output is correct
3 Correct 18 ms 15956 KB Output is correct
4 Correct 19 ms 15980 KB Output is correct
5 Correct 18 ms 15872 KB Output is correct
6 Correct 19 ms 15944 KB Output is correct
7 Correct 18 ms 15904 KB Output is correct
8 Correct 18 ms 15968 KB Output is correct
9 Correct 19 ms 15956 KB Output is correct
10 Correct 19 ms 15928 KB Output is correct
11 Correct 20 ms 16076 KB Output is correct
12 Correct 19 ms 15880 KB Output is correct
13 Correct 18 ms 15956 KB Output is correct
14 Correct 19 ms 15956 KB Output is correct
15 Correct 19 ms 15960 KB Output is correct
16 Correct 18 ms 15888 KB Output is correct
17 Correct 19 ms 15956 KB Output is correct
18 Correct 19 ms 15980 KB Output is correct
19 Correct 19 ms 15920 KB Output is correct
20 Correct 19 ms 15928 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 15956 KB Output is correct
2 Correct 20 ms 15856 KB Output is correct
3 Correct 18 ms 15956 KB Output is correct
4 Correct 19 ms 15980 KB Output is correct
5 Correct 18 ms 15872 KB Output is correct
6 Correct 19 ms 15944 KB Output is correct
7 Correct 18 ms 15904 KB Output is correct
8 Correct 18 ms 15968 KB Output is correct
9 Correct 19 ms 15956 KB Output is correct
10 Correct 19 ms 15928 KB Output is correct
11 Correct 20 ms 16076 KB Output is correct
12 Correct 19 ms 15880 KB Output is correct
13 Correct 18 ms 15956 KB Output is correct
14 Correct 19 ms 15956 KB Output is correct
15 Correct 19 ms 15960 KB Output is correct
16 Correct 18 ms 15888 KB Output is correct
17 Correct 19 ms 15956 KB Output is correct
18 Correct 19 ms 15980 KB Output is correct
19 Correct 19 ms 15920 KB Output is correct
20 Correct 19 ms 15928 KB Output is correct
21 Correct 18 ms 15960 KB Output is correct
22 Correct 18 ms 15956 KB Output is correct
23 Correct 20 ms 16052 KB Output is correct
24 Correct 19 ms 15952 KB Output is correct
25 Correct 19 ms 15960 KB Output is correct
26 Correct 20 ms 15956 KB Output is correct
27 Correct 19 ms 15940 KB Output is correct
28 Correct 20 ms 15956 KB Output is correct
29 Correct 18 ms 15972 KB Output is correct
30 Correct 19 ms 15980 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 15956 KB Output is correct
2 Correct 20 ms 15856 KB Output is correct
3 Correct 18 ms 15956 KB Output is correct
4 Correct 19 ms 15980 KB Output is correct
5 Correct 18 ms 15872 KB Output is correct
6 Correct 19 ms 15944 KB Output is correct
7 Correct 18 ms 15904 KB Output is correct
8 Correct 18 ms 15968 KB Output is correct
9 Correct 19 ms 15956 KB Output is correct
10 Correct 19 ms 15928 KB Output is correct
11 Correct 20 ms 16076 KB Output is correct
12 Correct 19 ms 15880 KB Output is correct
13 Correct 18 ms 15956 KB Output is correct
14 Correct 19 ms 15956 KB Output is correct
15 Correct 19 ms 15960 KB Output is correct
16 Correct 18 ms 15888 KB Output is correct
17 Correct 19 ms 15956 KB Output is correct
18 Correct 19 ms 15980 KB Output is correct
19 Correct 19 ms 15920 KB Output is correct
20 Correct 19 ms 15928 KB Output is correct
21 Correct 18 ms 15960 KB Output is correct
22 Correct 18 ms 15956 KB Output is correct
23 Correct 20 ms 16052 KB Output is correct
24 Correct 19 ms 15952 KB Output is correct
25 Correct 19 ms 15960 KB Output is correct
26 Correct 20 ms 15956 KB Output is correct
27 Correct 19 ms 15940 KB Output is correct
28 Correct 20 ms 15956 KB Output is correct
29 Correct 18 ms 15972 KB Output is correct
30 Correct 19 ms 15980 KB Output is correct
31 Correct 19 ms 15968 KB Output is correct
32 Correct 19 ms 15952 KB Output is correct
33 Correct 19 ms 15952 KB Output is correct
34 Correct 20 ms 15956 KB Output is correct
35 Correct 26 ms 15976 KB Output is correct
36 Correct 27 ms 15956 KB Output is correct
37 Correct 27 ms 15884 KB Output is correct
38 Correct 19 ms 15984 KB Output is correct
39 Correct 21 ms 15916 KB Output is correct
40 Correct 23 ms 15864 KB Output is correct