oj.uz

Submission #312335

# Submission time Handle Problem Language Result Execution time Memory
312335 2020-10-13T03:48:41 Z ttnhuy313 Bootfall (IZhO17_bootfall) C++14
100 / 100
 878 ms 6452 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 505, MOD = 1e9 + 7;
int dp[N * N], cnt[N * N], a[N], n, tmp[N * N], h2[N * N], t2[N * N];

int main(int argc, char const *argv[])
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	// freopen("IZhO17_bootfall.INP", "r", stdin);
	// freopen("IZhO17_bootfall.OUT", "w", stdout);

	cin >> n;
	int s = 0;
	for (int i = 1; i <= n; ++i) {
		cin >> a[i];
		s += a[i];
	}
	dp[0] = 1;
	for (int i = 1; i <= n; ++i) {
		for (int j = s; j >= 0; --j) if (a[i] <= j) {
			dp[j] += dp[j - a[i]];
		}
	}
	h2[0] = 1;
	for (int i = 1; i <= n; ++i) {
		for (int j = s; j >= 0; --j) if (a[i] <= j) {
			(h2[j] += h2[j - a[i]]) %= MOD;
		}
	}
	if (s & 1) {
		cout << 0 << endl;
		return 0;
	}
	if (dp[s / 2] == 0 && h2[s / 2] == 0) {
		cout << 0 << endl;
		return 0;
	}
	for (int i = 1; i <= n; ++i) {
		for (int j = 0; j <= s; ++j) tmp[j] = dp[j];
		tmp[a[i]]--;
		for (int j = a[i] + 1; j <= s; ++j)
			tmp[j] -= tmp[j - a[i]];
		for (int j = 0; j <= s; ++j) t2[j] = h2[j];
		t2[a[i]] = (t2[a[i]] - 1 + MOD) % MOD;
		for (int j = a[i] + 1; j <= s; ++j)
			t2[j] = (t2[j] - t2[j - a[i]] + MOD) % MOD;
		s -= a[i];
		// if (i == 3) cerr << "#" << (s - 155) / 2 << endl;
		for (int j = 0; j <= s / 2; ++j) if (tmp[j] != 0 && t2[j] != 0) {
			// if (s - 2 * j == 155) cerr << i << endl;
			cnt[s - 2 * j]++;
		}
		s += a[i];
	}
	vector <int> res; res.clear();
	for (int i = 1; i <= s; ++i) if (cnt[i] == n)
		res.push_back(i);
	cout << res.size() << endl;
	for (int v : res) cout << v << ' ';

	return 0;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 3 ms 512 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 4 ms 544 KB Output is correct
25 Correct 7 ms 640 KB Output is correct
26 Correct 8 ms 640 KB Output is correct
27 Correct 7 ms 512 KB Output is correct
28 Correct 7 ms 640 KB Output is correct
29 Correct 8 ms 512 KB Output is correct
30 Correct 4 ms 512 KB Output is correct
31 Correct 6 ms 512 KB Output is correct
32 Correct 4 ms 512 KB Output is correct
33 Correct 8 ms 512 KB Output is correct
34 Correct 8 ms 512 KB Output is correct
35 Correct 8 ms 640 KB Output is correct
36 Correct 4 ms 512 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 3 ms 512 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 4 ms 544 KB Output is correct
25 Correct 7 ms 640 KB Output is correct
26 Correct 8 ms 640 KB Output is correct
27 Correct 7 ms 512 KB Output is correct
28 Correct 7 ms 640 KB Output is correct
29 Correct 8 ms 512 KB Output is correct
30 Correct 4 ms 512 KB Output is correct
31 Correct 6 ms 512 KB Output is correct
32 Correct 4 ms 512 KB Output is correct
33 Correct 8 ms 512 KB Output is correct
34 Correct 8 ms 512 KB Output is correct
35 Correct 8 ms 640 KB Output is correct
36 Correct 4 ms 512 KB Output is correct
37 Correct 28 ms 888 KB Output is correct
38 Correct 30 ms 896 KB Output is correct
39 Correct 106 ms 1528 KB Output is correct
40 Correct 63 ms 1272 KB Output is correct
41 Correct 136 ms 1784 KB Output is correct
42 Correct 55 ms 1144 KB Output is correct
43 Correct 97 ms 1784 KB Output is correct
44 Correct 103 ms 1912 KB Output is correct
45 Correct 103 ms 1912 KB Output is correct
46 Correct 61 ms 1016 KB Output is correct
47 Correct 59 ms 1272 KB Output is correct
48 Correct 113 ms 1912 KB Output is correct
49 Correct 110 ms 1624 KB Output is correct
50 Correct 60 ms 1276 KB Output is correct
51 Correct 25 ms 640 KB Output is correct
52 Correct 138 ms 2172 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 3 ms 512 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 4 ms 544 KB Output is correct
25 Correct 7 ms 640 KB Output is correct
26 Correct 8 ms 640 KB Output is correct
27 Correct 7 ms 512 KB Output is correct
28 Correct 7 ms 640 KB Output is correct
29 Correct 8 ms 512 KB Output is correct
30 Correct 4 ms 512 KB Output is correct
31 Correct 6 ms 512 KB Output is correct
32 Correct 4 ms 512 KB Output is correct
33 Correct 8 ms 512 KB Output is correct
34 Correct 8 ms 512 KB Output is correct
35 Correct 8 ms 640 KB Output is correct
36 Correct 4 ms 512 KB Output is correct
37 Correct 28 ms 888 KB Output is correct
38 Correct 30 ms 896 KB Output is correct
39 Correct 106 ms 1528 KB Output is correct
40 Correct 63 ms 1272 KB Output is correct
41 Correct 136 ms 1784 KB Output is correct
42 Correct 55 ms 1144 KB Output is correct
43 Correct 97 ms 1784 KB Output is correct
44 Correct 103 ms 1912 KB Output is correct
45 Correct 103 ms 1912 KB Output is correct
46 Correct 61 ms 1016 KB Output is correct
47 Correct 59 ms 1272 KB Output is correct
48 Correct 113 ms 1912 KB Output is correct
49 Correct 110 ms 1624 KB Output is correct
50 Correct 60 ms 1276 KB Output is correct
51 Correct 25 ms 640 KB Output is correct
52 Correct 138 ms 2172 KB Output is correct
53 Correct 98 ms 1656 KB Output is correct
54 Correct 138 ms 1784 KB Output is correct
55 Correct 284 ms 3272 KB Output is correct
56 Correct 122 ms 1912 KB Output is correct
57 Correct 294 ms 3320 KB Output is correct
58 Correct 159 ms 2040 KB Output is correct
59 Correct 191 ms 2296 KB Output is correct
60 Correct 65 ms 780 KB Output is correct
61 Correct 215 ms 2620 KB Output is correct
62 Correct 218 ms 2800 KB Output is correct
63 Correct 235 ms 3064 KB Output is correct
64 Correct 227 ms 2936 KB Output is correct
65 Correct 110 ms 1400 KB Output is correct
66 Correct 115 ms 1528 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 1 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 1 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 2 ms 512 KB Output is correct
22 Correct 3 ms 512 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 4 ms 544 KB Output is correct
25 Correct 7 ms 640 KB Output is correct
26 Correct 8 ms 640 KB Output is correct
27 Correct 7 ms 512 KB Output is correct
28 Correct 7 ms 640 KB Output is correct
29 Correct 8 ms 512 KB Output is correct
30 Correct 4 ms 512 KB Output is correct
31 Correct 6 ms 512 KB Output is correct
32 Correct 4 ms 512 KB Output is correct
33 Correct 8 ms 512 KB Output is correct
34 Correct 8 ms 512 KB Output is correct
35 Correct 8 ms 640 KB Output is correct
36 Correct 4 ms 512 KB Output is correct
37 Correct 28 ms 888 KB Output is correct
38 Correct 30 ms 896 KB Output is correct
39 Correct 106 ms 1528 KB Output is correct
40 Correct 63 ms 1272 KB Output is correct
41 Correct 136 ms 1784 KB Output is correct
42 Correct 55 ms 1144 KB Output is correct
43 Correct 97 ms 1784 KB Output is correct
44 Correct 103 ms 1912 KB Output is correct
45 Correct 103 ms 1912 KB Output is correct
46 Correct 61 ms 1016 KB Output is correct
47 Correct 59 ms 1272 KB Output is correct
48 Correct 113 ms 1912 KB Output is correct
49 Correct 110 ms 1624 KB Output is correct
50 Correct 60 ms 1276 KB Output is correct
51 Correct 25 ms 640 KB Output is correct
52 Correct 138 ms 2172 KB Output is correct
53 Correct 98 ms 1656 KB Output is correct
54 Correct 138 ms 1784 KB Output is correct
55 Correct 284 ms 3272 KB Output is correct
56 Correct 122 ms 1912 KB Output is correct
57 Correct 294 ms 3320 KB Output is correct
58 Correct 159 ms 2040 KB Output is correct
59 Correct 191 ms 2296 KB Output is correct
60 Correct 65 ms 780 KB Output is correct
61 Correct 215 ms 2620 KB Output is correct
62 Correct 218 ms 2800 KB Output is correct
63 Correct 235 ms 3064 KB Output is correct
64 Correct 227 ms 2936 KB Output is correct
65 Correct 110 ms 1400 KB Output is correct
66 Correct 115 ms 1528 KB Output is correct
67 Correct 233 ms 2552 KB Output is correct
68 Correct 184 ms 1400 KB Output is correct
69 Correct 755 ms 5748 KB Output is correct
70 Correct 450 ms 3704 KB Output is correct
71 Correct 440 ms 3704 KB Output is correct
72 Correct 443 ms 2936 KB Output is correct
73 Correct 434 ms 2792 KB Output is correct
74 Correct 801 ms 6004 KB Output is correct
75 Correct 628 ms 4852 KB Output is correct
76 Correct 878 ms 6388 KB Output is correct
77 Correct 852 ms 6452 KB Output is correct