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Submission #697012

# Submission time Handle Problem Language Result Execution time Memory
697012 2023-02-07T22:31:37 Z allllekssssa Bootfall (IZhO17_bootfall) C++14
65 / 100
 1000 ms 15916 KB 
#include<bits/stdc++.h>
 
using namespace std;
 
const int maxN = 500 + 5;
const int bsSize = maxN * maxN + 10;
const int limit = 20500;
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++) {
		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;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 340 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 0 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 596 KB Output is correct
20 Correct 1 ms 596 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 0 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 596 KB Output is correct
20 Correct 1 ms 596 KB Output is correct
21 Correct 4 ms 852 KB Output is correct
22 Correct 4 ms 980 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 7 ms 1156 KB Output is correct
25 Correct 2 ms 980 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 980 KB Output is correct
29 Correct 2 ms 980 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 5 ms 1108 KB Output is correct
32 Correct 6 ms 1236 KB Output is correct
33 Correct 1 ms 980 KB Output is correct
34 Correct 1 ms 980 KB Output is correct
35 Correct 2 ms 980 KB Output is correct
36 Correct 6 ms 1236 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 0 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 596 KB Output is correct
20 Correct 1 ms 596 KB Output is correct
21 Correct 4 ms 852 KB Output is correct
22 Correct 4 ms 980 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 7 ms 1156 KB Output is correct
25 Correct 2 ms 980 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 980 KB Output is correct
29 Correct 2 ms 980 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 5 ms 1108 KB Output is correct
32 Correct 6 ms 1236 KB Output is correct
33 Correct 1 ms 980 KB Output is correct
34 Correct 1 ms 980 KB Output is correct
35 Correct 2 ms 980 KB Output is correct
36 Correct 6 ms 1236 KB Output is correct
37 Correct 14 ms 2004 KB Output is correct
38 Correct 16 ms 2056 KB Output is correct
39 Correct 2 ms 2004 KB Output is correct
40 Correct 459 ms 10432 KB Output is correct
41 Correct 2 ms 2132 KB Output is correct
42 Correct 329 ms 8888 KB Output is correct
43 Correct 75 ms 3964 KB Output is correct
44 Correct 76 ms 3960 KB Output is correct
45 Correct 73 ms 3968 KB Output is correct
46 Correct 0 ms 340 KB Output is correct
47 Correct 302 ms 8784 KB Output is correct
48 Correct 28 ms 2624 KB Output is correct
49 Correct 21 ms 2324 KB Output is correct
50 Correct 373 ms 9708 KB Output is correct
51 Correct 0 ms 340 KB Output is correct
52 Correct 50 ms 3276 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 0 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 596 KB Output is correct
20 Correct 1 ms 596 KB Output is correct
21 Correct 4 ms 852 KB Output is correct
22 Correct 4 ms 980 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 7 ms 1156 KB Output is correct
25 Correct 2 ms 980 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 980 KB Output is correct
29 Correct 2 ms 980 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 5 ms 1108 KB Output is correct
32 Correct 6 ms 1236 KB Output is correct
33 Correct 1 ms 980 KB Output is correct
34 Correct 1 ms 980 KB Output is correct
35 Correct 2 ms 980 KB Output is correct
36 Correct 6 ms 1236 KB Output is correct
37 Correct 14 ms 2004 KB Output is correct
38 Correct 16 ms 2056 KB Output is correct
39 Correct 2 ms 2004 KB Output is correct
40 Correct 459 ms 10432 KB Output is correct
41 Correct 2 ms 2132 KB Output is correct
42 Correct 329 ms 8888 KB Output is correct
43 Correct 75 ms 3964 KB Output is correct
44 Correct 76 ms 3960 KB Output is correct
45 Correct 73 ms 3968 KB Output is correct
46 Correct 0 ms 340 KB Output is correct
47 Correct 302 ms 8784 KB Output is correct
48 Correct 28 ms 2624 KB Output is correct
49 Correct 21 ms 2324 KB Output is correct
50 Correct 373 ms 9708 KB Output is correct
51 Correct 0 ms 340 KB Output is correct
52 Correct 50 ms 3276 KB Output is correct
53 Correct 419 ms 9600 KB Output is correct
54 Correct 546 ms 10332 KB Output is correct
55 Correct 81 ms 4144 KB Output is correct
56 Correct 531 ms 10692 KB Output is correct
57 Correct 97 ms 4328 KB Output is correct
58 Correct 846 ms 13624 KB Output is correct
59 Correct 365 ms 8984 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 396 ms 9164 KB Output is correct
62 Correct 182 ms 6132 KB Output is correct
63 Correct 111 ms 4620 KB Output is correct
64 Correct 116 ms 4556 KB Output is correct
65 Correct 4 ms 2516 KB Output is correct
66 Correct 15 ms 2588 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 468 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 468 KB Output is correct
11 Correct 1 ms 596 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 596 KB Output is correct
15 Correct 1 ms 596 KB Output is correct
16 Correct 1 ms 596 KB Output is correct
17 Correct 0 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 596 KB Output is correct
20 Correct 1 ms 596 KB Output is correct
21 Correct 4 ms 852 KB Output is correct
22 Correct 4 ms 980 KB Output is correct
23 Correct 2 ms 724 KB Output is correct
24 Correct 7 ms 1156 KB Output is correct
25 Correct 2 ms 980 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 980 KB Output is correct
29 Correct 2 ms 980 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 5 ms 1108 KB Output is correct
32 Correct 6 ms 1236 KB Output is correct
33 Correct 1 ms 980 KB Output is correct
34 Correct 1 ms 980 KB Output is correct
35 Correct 2 ms 980 KB Output is correct
36 Correct 6 ms 1236 KB Output is correct
37 Correct 14 ms 2004 KB Output is correct
38 Correct 16 ms 2056 KB Output is correct
39 Correct 2 ms 2004 KB Output is correct
40 Correct 459 ms 10432 KB Output is correct
41 Correct 2 ms 2132 KB Output is correct
42 Correct 329 ms 8888 KB Output is correct
43 Correct 75 ms 3964 KB Output is correct
44 Correct 76 ms 3960 KB Output is correct
45 Correct 73 ms 3968 KB Output is correct
46 Correct 0 ms 340 KB Output is correct
47 Correct 302 ms 8784 KB Output is correct
48 Correct 28 ms 2624 KB Output is correct
49 Correct 21 ms 2324 KB Output is correct
50 Correct 373 ms 9708 KB Output is correct
51 Correct 0 ms 340 KB Output is correct
52 Correct 50 ms 3276 KB Output is correct
53 Correct 419 ms 9600 KB Output is correct
54 Correct 546 ms 10332 KB Output is correct
55 Correct 81 ms 4144 KB Output is correct
56 Correct 531 ms 10692 KB Output is correct
57 Correct 97 ms 4328 KB Output is correct
58 Correct 846 ms 13624 KB Output is correct
59 Correct 365 ms 8984 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 396 ms 9164 KB Output is correct
62 Correct 182 ms 6132 KB Output is correct
63 Correct 111 ms 4620 KB Output is correct
64 Correct 116 ms 4556 KB Output is correct
65 Correct 4 ms 2516 KB Output is correct
66 Correct 15 ms 2588 KB Output is correct
67 Execution timed out 1086 ms 15916 KB Time limit exceeded
68 Halted 0 ms 0 KB -