oj.uz

Submission #205185

# Submission time Handle Problem Language Result Execution time Memory
205185 2020-02-28T09:09:24 Z Atill83 Asceticism (JOI18_asceticism) C++14
100 / 100
 31 ms 2040 KB 
#include <bits/stdc++.h>
#define ff first
#define ss second
#define endl '\n'
using namespace std;
const long long INF = (long long) 1e18;
const int mod = (int) 1e9+7;
const int MAXN = (int) 1e5+5;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
int n, k;
int dp[MAXN];
ll fact[MAXN];
ll inv[MAXN];

ll bp(ll a, ll b){
    ll res = 1;
    while(b){
        if(b % 2) res = (res * a) % mod;
        a = (a * a) % mod;
        b = b / 2;
    }
    return res;
}

ll comb(ll a, ll b){
    return fact[a]*inv[b]%mod*inv[a - b]%mod;
}

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

    #ifdef Local
        freopen("C:/Users/Admin/Desktop/Yazilim/C/IO/int.txt","r",stdin);
        freopen("C:/Users/Admin/Desktop/Yazilim/C/IO/out.txt","w",stdout);
    #endif

    cin>>n>>k;
    fact[0] = 1;
    inv[0] = 1;
    for(int i = 1;  i <= n + 10; i++){
        fact[i] = fact[i - 1]* i % mod;
        inv[i] = bp(fact[i], mod - 2);
    }
    ll ans = 0;
    for(int i = 0; i < k; i++){
        ans += (i % 2 ? -1: 1)*(comb(n + 1, i)*bp((k - i), n)%mod);
        ans += mod;
        ans %= mod;
    }
    cout<<ans<<endl;

    #ifdef Local
        cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
    #endif
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 380 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 380 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 504 KB Output is correct
18 Correct 5 ms 380 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 380 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 504 KB Output is correct
18 Correct 5 ms 380 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 5 ms 376 KB Output is correct
22 Correct 6 ms 376 KB Output is correct
23 Correct 5 ms 376 KB Output is correct
24 Correct 5 ms 376 KB Output is correct
25 Correct 5 ms 376 KB Output is correct
26 Correct 5 ms 376 KB Output is correct
27 Correct 5 ms 376 KB Output is correct
28 Correct 5 ms 376 KB Output is correct
29 Correct 5 ms 376 KB Output is correct
30 Correct 5 ms 376 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 380 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 504 KB Output is correct
18 Correct 5 ms 380 KB Output is correct
19 Correct 5 ms 376 KB Output is correct
20 Correct 5 ms 376 KB Output is correct
21 Correct 5 ms 376 KB Output is correct
22 Correct 6 ms 376 KB Output is correct
23 Correct 5 ms 376 KB Output is correct
24 Correct 5 ms 376 KB Output is correct
25 Correct 5 ms 376 KB Output is correct
26 Correct 5 ms 376 KB Output is correct
27 Correct 5 ms 376 KB Output is correct
28 Correct 5 ms 376 KB Output is correct
29 Correct 5 ms 376 KB Output is correct
30 Correct 5 ms 376 KB Output is correct
31 Correct 22 ms 1912 KB Output is correct
32 Correct 21 ms 1912 KB Output is correct
33 Correct 22 ms 2040 KB Output is correct
34 Correct 22 ms 2040 KB Output is correct
35 Correct 29 ms 1912 KB Output is correct
36 Correct 29 ms 1912 KB Output is correct
37 Correct 31 ms 1912 KB Output is correct
38 Correct 8 ms 632 KB Output is correct
39 Correct 19 ms 1400 KB Output is correct
40 Correct 24 ms 1912 KB Output is correct