제출 #697013

#제출 시각아이디문제언어결과실행 시간메모리
697013allllekssssaBootfall (IZhO17_bootfall)C++14
65 / 100
1070 ms15920 KiB
#include<bits/stdc++.h>
 
using namespace std;
 
const int maxN = 500 + 5;
const int bsSize = maxN * maxN + 10;
const int limit = 18000;
int n;
int a[maxN];
int cnt[maxN];
bitset<bsSize> dp[2][maxN];
bitset<limit> dp1[2][maxN];

int main() {
 
	cin >> n;
    
	int sum = 0;
    int gc = 0;
	for (int i = 1; i<=n; i++) {
		cin >> a[i];
		gc = __gcd(a[i], gc);
	}

	for (int i = 1; i<=n; i++) {
		a[i]/=gc;
		if ((a[i] & 1) == 0) {
			printf("0\n");
			return 0;
		}
		if (cnt[a[i]] == 0) cnt[a[i]] = i;
		sum+=a[i];
	}


	for (int i = 1; i <= n + 1; i++) {
		dp[0][i].set(0);
		dp1[0][i].set(0);
	}
 
	for (int i = 1; i<=n; i++) {
		for (int j = 1; j <= n + 1; j++) {
			if (j<= n && cnt[a[j]] != j) continue;
			if (sum < limit) {
				if (i == j) {
				dp1[i&1][j] = dp1[(i&1) ^ 1][j];
			} else {
				dp1[i&1][j] = dp1[(i&1) ^ 1][j] | (dp1[(i&1) ^ 1][j] << a[i]);
			}

			} else {
			
			if (i == j) {
				dp[i&1][j] = dp[(i&1) ^ 1][j];
			} else {
				dp[i&1][j] = dp[(i&1) ^ 1][j] | (dp[(i&1) ^ 1][j] << a[i]);
			}
		  }
		}
	}
    
    if (sum & 1) {
    	printf("0\n");
    	return 0;    	
    }

	if ((sum >= limit && dp[n&1][n + 1][sum/2] == 0) || (sum < limit && dp1[n&1][n + 1][sum/2] == 0)) {
		printf("0\n");
		return 0;
	}

    vector<int> ans;
 
	for (int i = 1; i <= sum; i+=2) {
		bool ok = true;
         
        for (int j = 1; j<= n; j++) {
        	if (cnt[a[j]] != j) continue;
        	int totSum = sum  - a[j] + i;
        	if (totSum % 2 == 1) ok = false;
        	if ((sum>= limit && dp[n&1][j][totSum/2] == 0) || (sum < limit && dp1[n&1][j][totSum/2] == 0)) ok = false;
        }
 
		if (ok) ans.push_back(i);
	}
 
	cout << ans.size() << endl;
 
	for (int i:ans) {
		cout << i * gc << " ";
	}
 
	cout << endl;
}
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