Submission #133033

#	Time	Username	Problem	Language	Result	Execution time	Memory
133033		E869120	Kitchen (BOI19_kitchen)	C++14	72 / 100	229 ms	34936 KiB

kitchen

#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

int N, M, K, S, A[309], B[309];
bool dp[309][90009];
bool dp1[49][1609][1609];

int solve(vector<int>R) {
	int s1 = 0, s2 = 0;
	for (int i = 0; i < R.size(); i++) {
		s1 += min(N, R[i]);
		s2 += R[i];
	}
	if (s1 < N * K) return (1 << 30);
	if (s2 < S) return (1 << 30);
	return s2 - S;
}

int solve_subtask3() {
	dp[0][0] = true;
	for (int i = 0; i < M; i++) {
		for (int j = 0; j <= 90000; j++) {
			if (dp[i][j] == false) continue;
			dp[i + 1][j] = true;
			dp[i + 1][j + B[i]] = true;
		}
	}
	for (int i = S; i <= 90000; i++) {
		if (dp[M][i] == true) return i - S;
	}
	return (1 << 30);
}

int solve_subtask4() {
	dp1[0][0][0] = true;
	for (int i = 0; i < M; i++) {
		for (int j = 0; j <= 1600; j++) {
			for (int k = 0; k <= 1600; k++) {
				if (dp1[i][j][k] == false) continue;
				dp1[i + 1][j][k] = true;
				dp1[i + 1][j + min(N, B[i])][k + B[i]] = true;
			}
		}
	}
	for (int i = S; i <= 1600; i++) {
		for (int j = N * K; j <= 1600; j++) {
			if (dp1[M][j][i] == true) return i - S;
		}
	}
	return (1 << 30);
}

int main() {
	cin >> N >> M >> K;
	for (int i = 0; i < N; i++) {
		cin >> A[i]; S += A[i];
		if (A[i] < K) {
			cout << "Impossible" << endl;
			return 0;
		}
	}
	for (int i = 0; i < M; i++) cin >> B[i];

	if (K == 1) {
		int ans = solve_subtask3();
		if (ans == (1 << 30)) cout << "Impossible" << endl;
		else cout << ans << endl;
	}
	else if (M <= 15) {
		int ans = (1 << 30);
		for (int i = 0; i < (1 << M); i++) {
			vector<int> vec;
			for (int j = 0; j < M; j++) {
				if ((i / (1 << j)) % 2 == 1) vec.push_back(B[j]);
			}
			int ret = solve(vec);
			ans = min(ans, ret);
		}
		if (ans == (1 << 30)) cout << "Impossible" << endl;
		else cout << ans << endl;
	}
	else {
		int ans = solve_subtask4();
		if (ans == (1 << 30)) cout << "Impossible" << endl;
		else cout << ans << endl;
	}
	return 0;
}

Compilation message (stderr)

kitchen.cpp: In function 'int solve(std::vector<int>)':
kitchen.cpp:12:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < R.size(); i++) {
                  ~~^~~~~~~~~~

• Subtask 1: 9 / 9
• Subtask 2: 22 / 22
• Subtask 3: 20 / 20
• Subtask 4: 21 / 21
• Subtask 5: 0 / 28