Submission #19866

# Submission time Handle Problem Language Result Execution time Memory
19866 2016-02-25T06:22:54 Z noslaak 카드 (kriii4_Z) C++
0 / 100
1000 ms 72136 KB
#include <iostream>
const int LARGE_NUMBER = 1000000007;
const int size = 3001;

int pows[size][size] = {0,};
template<int LN>
struct fraction
{
	int mod;
	fraction() : mod(0) {}
	fraction(int _denom, int _num)
	{
		mod = getmod(_denom, _num);
	}

	int modpow( long long A, long long X )
	{
		if( A < size && X < size && pows[size][size] > 0 )
			return pows[size][size];
			
		int acc = 1;
		while(X)
		{
			A %= LN;
			if(X%2)
				acc = (A*acc)%LN;
			A = A*A;
			X /= 2;
		}

		if( A < size && X < size )
			pows[size][size] = acc;
		return acc;
	}

	int getmod( int denom, int num )
	{
		int rev = modpow(denom, LN-2);
		int mod = ((long long)num*rev)%LN;
		return mod;
	}

	fraction operator+( const fraction& op )
	{
		return fraction((this->mod+op.mod)%LN);
	}
	fraction operator-( const fraction& op )
	{
		return fraction((this->mod-op.mod+LN)%LN);
	}
	fraction operator*( const fraction& op )
	{
		return fraction(((long long)(this->mod)*op.mod)%LN);
	}
	fraction operator/( const fraction& op )
	{
		return fraction(op.mod, this->mod);
	}

private:
	fraction(int _mod) : mod(_mod) {}
};
typedef fraction<LARGE_NUMBER> frac;


int N, L;
frac probs[size][size];

frac calc_prob( int remain_D, int remain_L )
{
	if( probs[remain_D][remain_L].mod != -1 )
		return probs[remain_D][remain_L];
	if( remain_D > remain_L )
		return frac();

	frac p1 = calc_prob(remain_D, remain_L-1) * frac(N, N-remain_D);
	frac p2 = calc_prob(remain_D-1, remain_L-1) * frac(N, remain_D);
	probs[remain_D][remain_L] = p1+p2;
	return probs[remain_D][remain_L];
}

int main()
{
	probs[0][0].mod = 1;
	for( int i = 1; i < size; ++i )
	{
		probs[i][0].mod = 0;
		probs[0][i].mod = 1;
	}

	while( std::cin >> N >> L )
	{
		for( int i = 1; i <= N; ++i ) for( int j = 1; j <= L; ++j ) probs[i][j].mod = -1;

		int remain_D = 0;
		for( int i = 0; i < N; ++i )
		{
			int D;
			std::cin >> D;
			if( D == 1 )
				++remain_D;
		}

		frac prob = calc_prob( remain_D, L );
		std::cout << prob.mod << std::endl;
	}

	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 681 ms 72136 KB Output is correct
2 Correct 872 ms 72132 KB Output is correct
3 Correct 10 ms 72080 KB Output is correct
4 Correct 804 ms 72132 KB Output is correct
5 Correct 898 ms 72124 KB Output is correct
6 Correct 351 ms 72112 KB Output is correct
7 Correct 982 ms 72132 KB Output is correct
8 Correct 795 ms 72120 KB Output is correct
9 Correct 538 ms 72132 KB Output is correct
10 Correct 587 ms 72116 KB Output is correct
11 Correct 968 ms 72132 KB Output is correct
12 Correct 490 ms 72128 KB Output is correct
13 Correct 868 ms 72116 KB Output is correct
14 Execution timed out 1000 ms 72136 KB Program timed out
15 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Halted 0 ms 0 KB -