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Submission #171940

# Submission time Handle Problem Language Result Execution time Memory
171940 2019-12-30T16:38:23 Z arnold518 Asceticism (JOI18_asceticism) C++14
100 / 100
 21 ms 2040 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1e5;
const ll MOD = 1e9+7;

int N, K;

ll mypow(ll x, ll y)
{
    if(y==0) return 1;
    if(y%2) return mypow(x, y-1)*x%MOD;
    ll t=mypow(x, y/2);
    return t*t%MOD;
}

ll inv(ll x) { return mypow(x, MOD-2); }

ll fact[MAXN+10], invfact[MAXN+10];

ll comb(ll n, ll r) { return fact[n]*invfact[r]%MOD*invfact[n-r]%MOD; }

int main()
{
    int i, j;

    scanf("%d%d", &N, &K);

    fact[0]=1;
    for(i=1; i<=N+5; i++) fact[i]=fact[i-1]*i%MOD;

    invfact[N+5]=inv(fact[N+5]);
    for(i=N+5; i>=1; i--) invfact[i-1]=invfact[i]*i%MOD;


    ll ans=0;
    for(i=0; i<=K; i++)
    {
        if(i%2) ans-=mypow(K-i, N)*comb(N+1, i)%MOD;
        else ans+=mypow(K-i, N)*comb(N+1, i)%MOD;
        ans%=MOD;
        ans+=MOD;
        ans%=MOD;
    }
    printf("%lld", ans);
}

Compilation message

asceticism.cpp: In function 'int main()':
asceticism.cpp:29:12: warning: unused variable 'j' [-Wunused-variable]
     int i, j;
            ^
asceticism.cpp:31:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d", &N, &K);
     ~~~~~^~~~~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 252 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 252 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 256 KB Output is correct
14 Correct 2 ms 348 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 256 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 252 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 256 KB Output is correct
14 Correct 2 ms 348 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 256 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 256 KB Output is correct
30 Correct 2 ms 376 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 2 ms 256 KB Output is correct
10 Correct 2 ms 252 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 256 KB Output is correct
14 Correct 2 ms 348 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 256 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 2 ms 348 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 256 KB Output is correct
30 Correct 2 ms 376 KB Output is correct
31 Correct 4 ms 1912 KB Output is correct
32 Correct 4 ms 1912 KB Output is correct
33 Correct 5 ms 1900 KB Output is correct
34 Correct 7 ms 1912 KB Output is correct
35 Correct 19 ms 1912 KB Output is correct
36 Correct 20 ms 2040 KB Output is correct
37 Correct 21 ms 1912 KB Output is correct
38 Correct 5 ms 632 KB Output is correct
39 Correct 9 ms 1528 KB Output is correct
40 Correct 12 ms 1912 KB Output is correct