oj.uz

Submission #514690

# Submission time Handle Problem Language Result Execution time Memory
514690 2022-01-18T11:00:20 Z Mazaalai Bootfall (IZhO17_bootfall) C++17
100 / 100
 705 ms 5356 KB 
#include <bits/stdc++.h>
#define pb push_back
#define LINE "-------------------\n"
#define sz(x) int(x.size())
using namespace std;
using ll = long long;
const int N = 500+1;
const int M = 500*500+1;
vector <int> ans;
int n, m, nums[N];
const ll MOD = 1e9+7;
ll dp[M], dp1[M], sum;
signed main() {

    // freopen("in.txt", "r", stdin);
    // freopen("out.txt", "w", stdout);
	cin >> n;
	for (int i = 1; i <= n; i++) cin >> nums[i];
	dp[0] = 1;
	for (int i = 1; i <= n; i++) {
		int& x = nums[i];
		sum += x;
		for (int j = M-1; j >= x; j--) 
			dp[j] = (dp[j] + dp[j-x]) % MOD;
	}
	// for (int i = 1; i <= 10; i++) cout << dp[i] << " \n"[i==10];
	if (sum & 1 || dp[sum / 2] == 0) {
		cout << "0\n";
		return 0;
	}
	for (int i = 1; i <= n; i++) {
		int& x = nums[i];
		for (int j = x; j <= M-1; j++) 
			dp[j] = (dp[j] - dp[j-x] + MOD) % MOD;
		/* 
			left = (sum - x + a) / 2 == j;
			sum-x+a = 2j
			a = 2j+x-sum;
		*/
		// cout << LINE;B
		// cout << x << ":\n";
		// cout << "dp: ";
		// for (int i = 1; i <= 10; i++) cout << dp[i] << " \n"[i==10];
		for (int j = M-1; j >= 0; j--) {
			int a = 2 * j + x - sum;
			if (dp[j] > 0 && a >= 0) {
				// cout << j << " " << a << '\n';
				dp1[a]++;
				// cout << 2 * j + x - sum << ' ';
			}
		}
		
		// cout << "\n";
		for (int j = M-1; j >= x; j--) 
			dp[j] = (dp[j] + dp[j-x]) % MOD;

		// cout << "dp: ";
		// for (int i = 1; i <= 10; i++) cout << dp[i] << " \n"[i==10];
	}
	for (int j = 0; j < M; j++) {
		if (dp1[j] == n) ans.pb(j);
	}
	cout << sz(ans) << '\n';
	for (auto&el:ans) cout << el << ' '; cout << '\n';
}

Compilation message

bootfall.cpp: In function 'int main()':
bootfall.cpp:64:2: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
   64 |  for (auto&el:ans) cout << el << ' '; cout << '\n';
      |  ^~~
bootfall.cpp:64:39: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
   64 |  for (auto&el:ans) cout << el << ' '; cout << '\n';
      |                                       ^~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 2252 KB Output is correct
2 Correct 10 ms 2252 KB Output is correct
3 Correct 2 ms 2252 KB Output is correct
4 Correct 8 ms 2256 KB Output is correct
5 Correct 18 ms 2252 KB Output is correct
6 Correct 17 ms 2264 KB Output is correct
7 Correct 10 ms 2252 KB Output is correct
8 Correct 18 ms 2264 KB Output is correct
9 Correct 15 ms 2256 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 2252 KB Output is correct
2 Correct 10 ms 2252 KB Output is correct
3 Correct 2 ms 2252 KB Output is correct
4 Correct 8 ms 2256 KB Output is correct
5 Correct 18 ms 2252 KB Output is correct
6 Correct 17 ms 2264 KB Output is correct
7 Correct 10 ms 2252 KB Output is correct
8 Correct 18 ms 2264 KB Output is correct
9 Correct 15 ms 2256 KB Output is correct
10 Correct 44 ms 2340 KB Output is correct
11 Correct 46 ms 2232 KB Output is correct
12 Correct 47 ms 2256 KB Output is correct
13 Correct 39 ms 2252 KB Output is correct
14 Correct 40 ms 2252 KB Output is correct
15 Correct 45 ms 2252 KB Output is correct
16 Correct 48 ms 2252 KB Output is correct
17 Correct 28 ms 2232 KB Output is correct
18 Correct 35 ms 2124 KB Output is correct
19 Correct 38 ms 2252 KB Output is correct
20 Correct 43 ms 2256 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 2252 KB Output is correct
2 Correct 10 ms 2252 KB Output is correct
3 Correct 2 ms 2252 KB Output is correct
4 Correct 8 ms 2256 KB Output is correct
5 Correct 18 ms 2252 KB Output is correct
6 Correct 17 ms 2264 KB Output is correct
7 Correct 10 ms 2252 KB Output is correct
8 Correct 18 ms 2264 KB Output is correct
9 Correct 15 ms 2256 KB Output is correct
10 Correct 44 ms 2340 KB Output is correct
11 Correct 46 ms 2232 KB Output is correct
12 Correct 47 ms 2256 KB Output is correct
13 Correct 39 ms 2252 KB Output is correct
14 Correct 40 ms 2252 KB Output is correct
15 Correct 45 ms 2252 KB Output is correct
16 Correct 48 ms 2252 KB Output is correct
17 Correct 28 ms 2232 KB Output is correct
18 Correct 35 ms 2124 KB Output is correct
19 Correct 38 ms 2252 KB Output is correct
20 Correct 43 ms 2256 KB Output is correct
21 Correct 87 ms 2260 KB Output is correct
22 Correct 102 ms 2268 KB Output is correct
23 Correct 69 ms 2252 KB Output is correct
24 Correct 132 ms 2276 KB Output is correct
25 Correct 134 ms 2252 KB Output is correct
26 Correct 136 ms 2308 KB Output is correct
27 Correct 135 ms 2308 KB Output is correct
28 Correct 131 ms 2308 KB Output is correct
29 Correct 136 ms 2252 KB Output is correct
30 Correct 130 ms 2200 KB Output is correct
31 Correct 135 ms 2252 KB Output is correct
32 Correct 134 ms 2280 KB Output is correct
33 Correct 135 ms 2376 KB Output is correct
34 Correct 137 ms 2252 KB Output is correct
35 Correct 133 ms 2252 KB Output is correct
36 Correct 164 ms 2256 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 2252 KB Output is correct
2 Correct 10 ms 2252 KB Output is correct
3 Correct 2 ms 2252 KB Output is correct
4 Correct 8 ms 2256 KB Output is correct
5 Correct 18 ms 2252 KB Output is correct
6 Correct 17 ms 2264 KB Output is correct
7 Correct 10 ms 2252 KB Output is correct
8 Correct 18 ms 2264 KB Output is correct
9 Correct 15 ms 2256 KB Output is correct
10 Correct 44 ms 2340 KB Output is correct
11 Correct 46 ms 2232 KB Output is correct
12 Correct 47 ms 2256 KB Output is correct
13 Correct 39 ms 2252 KB Output is correct
14 Correct 40 ms 2252 KB Output is correct
15 Correct 45 ms 2252 KB Output is correct
16 Correct 48 ms 2252 KB Output is correct
17 Correct 28 ms 2232 KB Output is correct
18 Correct 35 ms 2124 KB Output is correct
19 Correct 38 ms 2252 KB Output is correct
20 Correct 43 ms 2256 KB Output is correct
21 Correct 87 ms 2260 KB Output is correct
22 Correct 102 ms 2268 KB Output is correct
23 Correct 69 ms 2252 KB Output is correct
24 Correct 132 ms 2276 KB Output is correct
25 Correct 134 ms 2252 KB Output is correct
26 Correct 136 ms 2308 KB Output is correct
27 Correct 135 ms 2308 KB Output is correct
28 Correct 131 ms 2308 KB Output is correct
29 Correct 136 ms 2252 KB Output is correct
30 Correct 130 ms 2200 KB Output is correct
31 Correct 135 ms 2252 KB Output is correct
32 Correct 134 ms 2280 KB Output is correct
33 Correct 135 ms 2376 KB Output is correct
34 Correct 137 ms 2252 KB Output is correct
35 Correct 133 ms 2252 KB Output is correct
36 Correct 164 ms 2256 KB Output is correct
37 Correct 270 ms 2492 KB Output is correct
38 Correct 258 ms 2524 KB Output is correct
39 Correct 325 ms 2636 KB Output is correct
40 Correct 365 ms 2620 KB Output is correct
41 Correct 362 ms 2780 KB Output is correct
42 Correct 328 ms 2636 KB Output is correct
43 Correct 322 ms 3056 KB Output is correct
44 Correct 341 ms 3064 KB Output is correct
45 Correct 342 ms 3064 KB Output is correct
46 Correct 360 ms 2504 KB Output is correct
47 Correct 333 ms 2636 KB Output is correct
48 Correct 332 ms 3012 KB Output is correct
49 Correct 329 ms 2716 KB Output is correct
50 Correct 334 ms 2620 KB Output is correct
51 Correct 93 ms 2244 KB Output is correct
52 Correct 355 ms 3172 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 2252 KB Output is correct
2 Correct 10 ms 2252 KB Output is correct
3 Correct 2 ms 2252 KB Output is correct
4 Correct 8 ms 2256 KB Output is correct
5 Correct 18 ms 2252 KB Output is correct
6 Correct 17 ms 2264 KB Output is correct
7 Correct 10 ms 2252 KB Output is correct
8 Correct 18 ms 2264 KB Output is correct
9 Correct 15 ms 2256 KB Output is correct
10 Correct 44 ms 2340 KB Output is correct
11 Correct 46 ms 2232 KB Output is correct
12 Correct 47 ms 2256 KB Output is correct
13 Correct 39 ms 2252 KB Output is correct
14 Correct 40 ms 2252 KB Output is correct
15 Correct 45 ms 2252 KB Output is correct
16 Correct 48 ms 2252 KB Output is correct
17 Correct 28 ms 2232 KB Output is correct
18 Correct 35 ms 2124 KB Output is correct
19 Correct 38 ms 2252 KB Output is correct
20 Correct 43 ms 2256 KB Output is correct
21 Correct 87 ms 2260 KB Output is correct
22 Correct 102 ms 2268 KB Output is correct
23 Correct 69 ms 2252 KB Output is correct
24 Correct 132 ms 2276 KB Output is correct
25 Correct 134 ms 2252 KB Output is correct
26 Correct 136 ms 2308 KB Output is correct
27 Correct 135 ms 2308 KB Output is correct
28 Correct 131 ms 2308 KB Output is correct
29 Correct 136 ms 2252 KB Output is correct
30 Correct 130 ms 2200 KB Output is correct
31 Correct 135 ms 2252 KB Output is correct
32 Correct 134 ms 2280 KB Output is correct
33 Correct 135 ms 2376 KB Output is correct
34 Correct 137 ms 2252 KB Output is correct
35 Correct 133 ms 2252 KB Output is correct
36 Correct 164 ms 2256 KB Output is correct
37 Correct 270 ms 2492 KB Output is correct
38 Correct 258 ms 2524 KB Output is correct
39 Correct 325 ms 2636 KB Output is correct
40 Correct 365 ms 2620 KB Output is correct
41 Correct 362 ms 2780 KB Output is correct
42 Correct 328 ms 2636 KB Output is correct
43 Correct 322 ms 3056 KB Output is correct
44 Correct 341 ms 3064 KB Output is correct
45 Correct 342 ms 3064 KB Output is correct
46 Correct 360 ms 2504 KB Output is correct
47 Correct 333 ms 2636 KB Output is correct
48 Correct 332 ms 3012 KB Output is correct
49 Correct 329 ms 2716 KB Output is correct
50 Correct 334 ms 2620 KB Output is correct
51 Correct 93 ms 2244 KB Output is correct
52 Correct 355 ms 3172 KB Output is correct
53 Correct 436 ms 2848 KB Output is correct
54 Correct 465 ms 3140 KB Output is correct
55 Correct 471 ms 3644 KB Output is correct
56 Correct 407 ms 3152 KB Output is correct
57 Correct 459 ms 3872 KB Output is correct
58 Correct 465 ms 3140 KB Output is correct
59 Correct 477 ms 3344 KB Output is correct
60 Correct 140 ms 2252 KB Output is correct
61 Correct 461 ms 3416 KB Output is correct
62 Correct 445 ms 3496 KB Output is correct
63 Correct 434 ms 3556 KB Output is correct
64 Correct 415 ms 3644 KB Output is correct
65 Correct 421 ms 2616 KB Output is correct
66 Correct 441 ms 2656 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 2252 KB Output is correct
2 Correct 10 ms 2252 KB Output is correct
3 Correct 2 ms 2252 KB Output is correct
4 Correct 8 ms 2256 KB Output is correct
5 Correct 18 ms 2252 KB Output is correct
6 Correct 17 ms 2264 KB Output is correct
7 Correct 10 ms 2252 KB Output is correct
8 Correct 18 ms 2264 KB Output is correct
9 Correct 15 ms 2256 KB Output is correct
10 Correct 44 ms 2340 KB Output is correct
11 Correct 46 ms 2232 KB Output is correct
12 Correct 47 ms 2256 KB Output is correct
13 Correct 39 ms 2252 KB Output is correct
14 Correct 40 ms 2252 KB Output is correct
15 Correct 45 ms 2252 KB Output is correct
16 Correct 48 ms 2252 KB Output is correct
17 Correct 28 ms 2232 KB Output is correct
18 Correct 35 ms 2124 KB Output is correct
19 Correct 38 ms 2252 KB Output is correct
20 Correct 43 ms 2256 KB Output is correct
21 Correct 87 ms 2260 KB Output is correct
22 Correct 102 ms 2268 KB Output is correct
23 Correct 69 ms 2252 KB Output is correct
24 Correct 132 ms 2276 KB Output is correct
25 Correct 134 ms 2252 KB Output is correct
26 Correct 136 ms 2308 KB Output is correct
27 Correct 135 ms 2308 KB Output is correct
28 Correct 131 ms 2308 KB Output is correct
29 Correct 136 ms 2252 KB Output is correct
30 Correct 130 ms 2200 KB Output is correct
31 Correct 135 ms 2252 KB Output is correct
32 Correct 134 ms 2280 KB Output is correct
33 Correct 135 ms 2376 KB Output is correct
34 Correct 137 ms 2252 KB Output is correct
35 Correct 133 ms 2252 KB Output is correct
36 Correct 164 ms 2256 KB Output is correct
37 Correct 270 ms 2492 KB Output is correct
38 Correct 258 ms 2524 KB Output is correct
39 Correct 325 ms 2636 KB Output is correct
40 Correct 365 ms 2620 KB Output is correct
41 Correct 362 ms 2780 KB Output is correct
42 Correct 328 ms 2636 KB Output is correct
43 Correct 322 ms 3056 KB Output is correct
44 Correct 341 ms 3064 KB Output is correct
45 Correct 342 ms 3064 KB Output is correct
46 Correct 360 ms 2504 KB Output is correct
47 Correct 333 ms 2636 KB Output is correct
48 Correct 332 ms 3012 KB Output is correct
49 Correct 329 ms 2716 KB Output is correct
50 Correct 334 ms 2620 KB Output is correct
51 Correct 93 ms 2244 KB Output is correct
52 Correct 355 ms 3172 KB Output is correct
53 Correct 436 ms 2848 KB Output is correct
54 Correct 465 ms 3140 KB Output is correct
55 Correct 471 ms 3644 KB Output is correct
56 Correct 407 ms 3152 KB Output is correct
57 Correct 459 ms 3872 KB Output is correct
58 Correct 465 ms 3140 KB Output is correct
59 Correct 477 ms 3344 KB Output is correct
60 Correct 140 ms 2252 KB Output is correct
61 Correct 461 ms 3416 KB Output is correct
62 Correct 445 ms 3496 KB Output is correct
63 Correct 434 ms 3556 KB Output is correct
64 Correct 415 ms 3644 KB Output is correct
65 Correct 421 ms 2616 KB Output is correct
66 Correct 441 ms 2656 KB Output is correct
67 Correct 542 ms 3376 KB Output is correct
68 Correct 192 ms 2252 KB Output is correct
69 Correct 663 ms 5048 KB Output is correct
70 Correct 665 ms 4004 KB Output is correct
71 Correct 661 ms 3844 KB Output is correct
72 Correct 667 ms 3272 KB Output is correct
73 Correct 648 ms 3284 KB Output is correct
74 Correct 664 ms 5140 KB Output is correct
75 Correct 656 ms 4624 KB Output is correct
76 Correct 705 ms 5304 KB Output is correct
77 Correct 674 ms 5356 KB Output is correct