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Submission #828866

# Submission time Handle Problem Language Result Execution time Memory
828866 2023-08-17T17:57:25 Z MohamedAhmed04 Asceticism (JOI18_asceticism) C++14
100 / 100
 12 ms 1124 KB 
#include <bits/stdc++.h>

using namespace std ;

const int mod = 1e9 + 7 ;

int Add(int x , int y)
{
	int z = x + y ;
	if(z >= mod)
		z -= mod ;
	return z ;
}

int Sub(int x , int y)
{
	int z = x - y ;
	if(z < 0)
		z += mod ;
	return z ;
}

int Mul(int x , int y)
{
	return (x * 1ll * y) % mod ;
}

int powlog(int base , int power)
{
	if(power == 0)
		return 1 ;
	int x = powlog(base , power / 2) ;
	x = Mul(x , x) ;
	if(power & 1)
		x = Mul(x , base) ;
	return x ;
}

int modinv(int x)
{
	return powlog(x , mod-2) ;
}

int Div(int x , int y)
{
	return Mul(x , modinv(y)) ;
}

struct combination
{
    vector<int>fact , inv ;
    combination(int sz) : fact(sz + 1) , inv(sz + 1)
    {
        fact[0] = 1 ;
        inv[0] = 1 ;
        for(int i = 1 ; i <= sz ; ++i)
            fact[i] = Mul(fact[i-1] , i) ;
        inv[sz] = modinv(fact[sz]) ;
		for(int i = sz-1 ; i >= 1 ; --i)
		    inv[i] = Mul(inv[i+1] , i+1) ;
    }
    int choose(int n , int k) const
    {
        if(k < 0 || n < k)
            return 0 ;
        return Mul(Mul(fact[n] , inv[k]) , inv[n - k]) ;
    }
};

const int MAX = 1e5 + 10 ;

combination comb(MAX) ;

int arr[MAX] ;
int n , k ;

int main()
{
	ios_base::sync_with_stdio(0) ;
	cin.tie(0) ;
	cin>>n>>k ;
	k = n-k ;
	int ans = 0 ;
	for(int i = 0 ; i <= k ; ++i)
	{
		int x = Mul(comb.choose(n+1 , i) , powlog(k+1-i , n)) ;
		if(i%2 == 0)
			ans = Add(ans , x) ;
		else
			ans = Sub(ans , x) ;
	}
	return cout<<ans<<"\n" , 0 ;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 2 ms 1108 KB Output is correct
3 Correct 2 ms 1108 KB Output is correct
4 Correct 2 ms 1108 KB Output is correct
5 Correct 2 ms 1108 KB Output is correct
6 Correct 2 ms 1108 KB Output is correct
7 Correct 2 ms 1108 KB Output is correct
8 Correct 2 ms 1108 KB Output is correct
9 Correct 2 ms 1108 KB Output is correct
10 Correct 2 ms 1108 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 2 ms 1108 KB Output is correct
3 Correct 2 ms 1108 KB Output is correct
4 Correct 2 ms 1108 KB Output is correct
5 Correct 2 ms 1108 KB Output is correct
6 Correct 2 ms 1108 KB Output is correct
7 Correct 2 ms 1108 KB Output is correct
8 Correct 2 ms 1108 KB Output is correct
9 Correct 2 ms 1108 KB Output is correct
10 Correct 2 ms 1108 KB Output is correct
11 Correct 2 ms 1108 KB Output is correct
12 Correct 2 ms 1108 KB Output is correct
13 Correct 2 ms 1120 KB Output is correct
14 Correct 2 ms 1108 KB Output is correct
15 Correct 2 ms 1108 KB Output is correct
16 Correct 2 ms 1108 KB Output is correct
17 Correct 2 ms 1108 KB Output is correct
18 Correct 2 ms 1108 KB Output is correct
19 Correct 2 ms 1124 KB Output is correct
20 Correct 2 ms 1108 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 2 ms 1108 KB Output is correct
3 Correct 2 ms 1108 KB Output is correct
4 Correct 2 ms 1108 KB Output is correct
5 Correct 2 ms 1108 KB Output is correct
6 Correct 2 ms 1108 KB Output is correct
7 Correct 2 ms 1108 KB Output is correct
8 Correct 2 ms 1108 KB Output is correct
9 Correct 2 ms 1108 KB Output is correct
10 Correct 2 ms 1108 KB Output is correct
11 Correct 2 ms 1108 KB Output is correct
12 Correct 2 ms 1108 KB Output is correct
13 Correct 2 ms 1120 KB Output is correct
14 Correct 2 ms 1108 KB Output is correct
15 Correct 2 ms 1108 KB Output is correct
16 Correct 2 ms 1108 KB Output is correct
17 Correct 2 ms 1108 KB Output is correct
18 Correct 2 ms 1108 KB Output is correct
19 Correct 2 ms 1124 KB Output is correct
20 Correct 2 ms 1108 KB Output is correct
21 Correct 2 ms 1108 KB Output is correct
22 Correct 2 ms 1108 KB Output is correct
23 Correct 2 ms 1092 KB Output is correct
24 Correct 2 ms 1108 KB Output is correct
25 Correct 2 ms 1108 KB Output is correct
26 Correct 2 ms 1108 KB Output is correct
27 Correct 2 ms 1108 KB Output is correct
28 Correct 2 ms 1108 KB Output is correct
29 Correct 2 ms 1108 KB Output is correct
30 Correct 2 ms 1108 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 2 ms 1108 KB Output is correct
3 Correct 2 ms 1108 KB Output is correct
4 Correct 2 ms 1108 KB Output is correct
5 Correct 2 ms 1108 KB Output is correct
6 Correct 2 ms 1108 KB Output is correct
7 Correct 2 ms 1108 KB Output is correct
8 Correct 2 ms 1108 KB Output is correct
9 Correct 2 ms 1108 KB Output is correct
10 Correct 2 ms 1108 KB Output is correct
11 Correct 2 ms 1108 KB Output is correct
12 Correct 2 ms 1108 KB Output is correct
13 Correct 2 ms 1120 KB Output is correct
14 Correct 2 ms 1108 KB Output is correct
15 Correct 2 ms 1108 KB Output is correct
16 Correct 2 ms 1108 KB Output is correct
17 Correct 2 ms 1108 KB Output is correct
18 Correct 2 ms 1108 KB Output is correct
19 Correct 2 ms 1124 KB Output is correct
20 Correct 2 ms 1108 KB Output is correct
21 Correct 2 ms 1108 KB Output is correct
22 Correct 2 ms 1108 KB Output is correct
23 Correct 2 ms 1092 KB Output is correct
24 Correct 2 ms 1108 KB Output is correct
25 Correct 2 ms 1108 KB Output is correct
26 Correct 2 ms 1108 KB Output is correct
27 Correct 2 ms 1108 KB Output is correct
28 Correct 2 ms 1108 KB Output is correct
29 Correct 2 ms 1108 KB Output is correct
30 Correct 2 ms 1108 KB Output is correct
31 Correct 12 ms 1108 KB Output is correct
32 Correct 12 ms 1108 KB Output is correct
33 Correct 12 ms 1108 KB Output is correct
34 Correct 11 ms 1108 KB Output is correct
35 Correct 4 ms 1108 KB Output is correct
36 Correct 3 ms 1108 KB Output is correct
37 Correct 2 ms 1108 KB Output is correct
38 Correct 2 ms 1108 KB Output is correct
39 Correct 6 ms 1108 KB Output is correct
40 Correct 10 ms 1124 KB Output is correct