Submission #536211

# Submission time Handle Problem Language Result Execution time Memory
536211 2022-03-12T15:22:32 Z akhan42 Bootfall (IZhO17_bootfall) C++17
65 / 100
1000 ms 2804 KB
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>

using namespace std;
using namespace __gnu_pbds;

#define F first
#define S second
#define forn(i, n) for(int i = 0; i < n; ++i)
#define forbn(i, b, n) for(int i = b; i < n; ++i)
#define sz(v) (int)v.size()
#define pb push_back
#define mp make_pair
#define eb emplace_back
#define all(v) v.begin(), v.end()
#define min3(a, b, c) min(a, min(b, c))
#define lc v << 1
#define rc (v << 1) + 1

typedef pair<int, int> ii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef long long ll;
typedef complex<double> cd;
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;

template <class T> inline void mineq(T &a, T b) { a = min(a, b); }
template <class T> inline void maxeq(T &a, T b) { a = max(a, b); }


const int BASE = 500;
const int MX = BASE * BASE + 1;
using bts = bitset<MX>;


int mod = 433494437;
int total = 0;


int add(int a, int b) {
	return ((a + b) % mod + mod) % mod;
}



bts divide(vi pol2, int d, int sh) {
	bts res;

	for(int i = total; i - d >= 0 && i - d + sh >= total / 2; i--) {
		if(pol2[i] != 0) {
			pol2[i - d] = add(pol2[i - d], -pol2[i]);
			res[i - d + sh] = 1;
		}
	}

	return res;
}


void solve() {
	int n;
	cin >> n;
	vi arr(n);
	set<int> nums;
	forn(i, n) {
		cin >> arr[i];
		nums.insert(arr[i]);
	}
	sort(all(arr));

	vi pol2(MX, 0);
	pol2[0] = 1;
	for(int a: arr) {
		for(int i = MX - a - 1; i >= 0; i--) {
			pol2[i + a] = add(pol2[i + a], pol2[i]);
		}
	}


	bts s;
	s[0] = 1;
	bool odd = true, even = true;
	for(int a: arr) {
		s |= s << a;
		total += a;
		if(a % 2)
			even = false;
		else
			odd = false;
	}

	if(total % 2 || s[total / 2] == 0 || (!even && !odd))
	{
		cout << 0;
		return;
	}

	bts ans;
	ans.flip();

	for(int a: nums) {
		int d = (a + (odd ? 1 : 0)) / 2;
		bts c = divide(pol2, a, d);


		ans &= c;
	}

	vi vans;
	int rem = (odd ? 1 : 0) + total;
	forbn(i, (rem + 1) / 2, MX) {
		if(ans[i]) {
			vans.pb(2 * i - rem);
		}
	}

	cout << sz(vans) << '\n';
	for(int el: vans)
		cout << el << ' ';
}


int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	cout.tie(nullptr);

//	freopen("triangles.in", "r", stdin);
//	freopen("triangles.out", "w", stdout);

	int t = 1;
//	cin >> t;
	while(t--) {
		solve();
	}
}
# Verdict Execution time Memory Grader output
1 Correct 11 ms 2304 KB Output is correct
2 Correct 17 ms 2304 KB Output is correct
3 Correct 9 ms 1364 KB Output is correct
4 Correct 13 ms 2288 KB Output is correct
5 Correct 35 ms 2336 KB Output is correct
6 Correct 24 ms 2324 KB Output is correct
7 Correct 18 ms 2340 KB Output is correct
8 Correct 32 ms 2296 KB Output is correct
9 Correct 24 ms 1364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 2304 KB Output is correct
2 Correct 17 ms 2304 KB Output is correct
3 Correct 9 ms 1364 KB Output is correct
4 Correct 13 ms 2288 KB Output is correct
5 Correct 35 ms 2336 KB Output is correct
6 Correct 24 ms 2324 KB Output is correct
7 Correct 18 ms 2340 KB Output is correct
8 Correct 32 ms 2296 KB Output is correct
9 Correct 24 ms 1364 KB Output is correct
10 Correct 73 ms 2276 KB Output is correct
11 Correct 73 ms 2328 KB Output is correct
12 Correct 80 ms 2332 KB Output is correct
13 Correct 70 ms 1364 KB Output is correct
14 Correct 68 ms 2312 KB Output is correct
15 Correct 70 ms 2324 KB Output is correct
16 Correct 72 ms 2316 KB Output is correct
17 Correct 44 ms 2332 KB Output is correct
18 Correct 67 ms 2324 KB Output is correct
19 Correct 71 ms 2312 KB Output is correct
20 Correct 75 ms 2288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 2304 KB Output is correct
2 Correct 17 ms 2304 KB Output is correct
3 Correct 9 ms 1364 KB Output is correct
4 Correct 13 ms 2288 KB Output is correct
5 Correct 35 ms 2336 KB Output is correct
6 Correct 24 ms 2324 KB Output is correct
7 Correct 18 ms 2340 KB Output is correct
8 Correct 32 ms 2296 KB Output is correct
9 Correct 24 ms 1364 KB Output is correct
10 Correct 73 ms 2276 KB Output is correct
11 Correct 73 ms 2328 KB Output is correct
12 Correct 80 ms 2332 KB Output is correct
13 Correct 70 ms 1364 KB Output is correct
14 Correct 68 ms 2312 KB Output is correct
15 Correct 70 ms 2324 KB Output is correct
16 Correct 72 ms 2316 KB Output is correct
17 Correct 44 ms 2332 KB Output is correct
18 Correct 67 ms 2324 KB Output is correct
19 Correct 71 ms 2312 KB Output is correct
20 Correct 75 ms 2288 KB Output is correct
21 Correct 161 ms 2316 KB Output is correct
22 Correct 188 ms 2316 KB Output is correct
23 Correct 128 ms 2332 KB Output is correct
24 Correct 224 ms 2316 KB Output is correct
25 Correct 248 ms 2296 KB Output is correct
26 Correct 236 ms 2312 KB Output is correct
27 Correct 245 ms 2424 KB Output is correct
28 Correct 268 ms 2320 KB Output is correct
29 Correct 240 ms 2296 KB Output is correct
30 Correct 248 ms 1364 KB Output is correct
31 Correct 252 ms 2332 KB Output is correct
32 Correct 238 ms 2324 KB Output is correct
33 Correct 263 ms 2272 KB Output is correct
34 Correct 235 ms 2276 KB Output is correct
35 Correct 243 ms 2316 KB Output is correct
36 Correct 265 ms 2320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 2304 KB Output is correct
2 Correct 17 ms 2304 KB Output is correct
3 Correct 9 ms 1364 KB Output is correct
4 Correct 13 ms 2288 KB Output is correct
5 Correct 35 ms 2336 KB Output is correct
6 Correct 24 ms 2324 KB Output is correct
7 Correct 18 ms 2340 KB Output is correct
8 Correct 32 ms 2296 KB Output is correct
9 Correct 24 ms 1364 KB Output is correct
10 Correct 73 ms 2276 KB Output is correct
11 Correct 73 ms 2328 KB Output is correct
12 Correct 80 ms 2332 KB Output is correct
13 Correct 70 ms 1364 KB Output is correct
14 Correct 68 ms 2312 KB Output is correct
15 Correct 70 ms 2324 KB Output is correct
16 Correct 72 ms 2316 KB Output is correct
17 Correct 44 ms 2332 KB Output is correct
18 Correct 67 ms 2324 KB Output is correct
19 Correct 71 ms 2312 KB Output is correct
20 Correct 75 ms 2288 KB Output is correct
21 Correct 161 ms 2316 KB Output is correct
22 Correct 188 ms 2316 KB Output is correct
23 Correct 128 ms 2332 KB Output is correct
24 Correct 224 ms 2316 KB Output is correct
25 Correct 248 ms 2296 KB Output is correct
26 Correct 236 ms 2312 KB Output is correct
27 Correct 245 ms 2424 KB Output is correct
28 Correct 268 ms 2320 KB Output is correct
29 Correct 240 ms 2296 KB Output is correct
30 Correct 248 ms 1364 KB Output is correct
31 Correct 252 ms 2332 KB Output is correct
32 Correct 238 ms 2324 KB Output is correct
33 Correct 263 ms 2272 KB Output is correct
34 Correct 235 ms 2276 KB Output is correct
35 Correct 243 ms 2316 KB Output is correct
36 Correct 265 ms 2320 KB Output is correct
37 Correct 511 ms 2320 KB Output is correct
38 Correct 494 ms 2320 KB Output is correct
39 Correct 612 ms 2280 KB Output is correct
40 Correct 709 ms 2452 KB Output is correct
41 Correct 667 ms 2252 KB Output is correct
42 Correct 639 ms 2448 KB Output is correct
43 Correct 614 ms 2452 KB Output is correct
44 Correct 629 ms 2424 KB Output is correct
45 Correct 606 ms 2424 KB Output is correct
46 Correct 661 ms 2320 KB Output is correct
47 Correct 638 ms 2464 KB Output is correct
48 Correct 626 ms 2456 KB Output is correct
49 Correct 623 ms 2324 KB Output is correct
50 Correct 628 ms 2452 KB Output is correct
51 Correct 595 ms 1364 KB Output is correct
52 Correct 684 ms 2448 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 2304 KB Output is correct
2 Correct 17 ms 2304 KB Output is correct
3 Correct 9 ms 1364 KB Output is correct
4 Correct 13 ms 2288 KB Output is correct
5 Correct 35 ms 2336 KB Output is correct
6 Correct 24 ms 2324 KB Output is correct
7 Correct 18 ms 2340 KB Output is correct
8 Correct 32 ms 2296 KB Output is correct
9 Correct 24 ms 1364 KB Output is correct
10 Correct 73 ms 2276 KB Output is correct
11 Correct 73 ms 2328 KB Output is correct
12 Correct 80 ms 2332 KB Output is correct
13 Correct 70 ms 1364 KB Output is correct
14 Correct 68 ms 2312 KB Output is correct
15 Correct 70 ms 2324 KB Output is correct
16 Correct 72 ms 2316 KB Output is correct
17 Correct 44 ms 2332 KB Output is correct
18 Correct 67 ms 2324 KB Output is correct
19 Correct 71 ms 2312 KB Output is correct
20 Correct 75 ms 2288 KB Output is correct
21 Correct 161 ms 2316 KB Output is correct
22 Correct 188 ms 2316 KB Output is correct
23 Correct 128 ms 2332 KB Output is correct
24 Correct 224 ms 2316 KB Output is correct
25 Correct 248 ms 2296 KB Output is correct
26 Correct 236 ms 2312 KB Output is correct
27 Correct 245 ms 2424 KB Output is correct
28 Correct 268 ms 2320 KB Output is correct
29 Correct 240 ms 2296 KB Output is correct
30 Correct 248 ms 1364 KB Output is correct
31 Correct 252 ms 2332 KB Output is correct
32 Correct 238 ms 2324 KB Output is correct
33 Correct 263 ms 2272 KB Output is correct
34 Correct 235 ms 2276 KB Output is correct
35 Correct 243 ms 2316 KB Output is correct
36 Correct 265 ms 2320 KB Output is correct
37 Correct 511 ms 2320 KB Output is correct
38 Correct 494 ms 2320 KB Output is correct
39 Correct 612 ms 2280 KB Output is correct
40 Correct 709 ms 2452 KB Output is correct
41 Correct 667 ms 2252 KB Output is correct
42 Correct 639 ms 2448 KB Output is correct
43 Correct 614 ms 2452 KB Output is correct
44 Correct 629 ms 2424 KB Output is correct
45 Correct 606 ms 2424 KB Output is correct
46 Correct 661 ms 2320 KB Output is correct
47 Correct 638 ms 2464 KB Output is correct
48 Correct 626 ms 2456 KB Output is correct
49 Correct 623 ms 2324 KB Output is correct
50 Correct 628 ms 2452 KB Output is correct
51 Correct 595 ms 1364 KB Output is correct
52 Correct 684 ms 2448 KB Output is correct
53 Correct 783 ms 2456 KB Output is correct
54 Correct 902 ms 2492 KB Output is correct
55 Correct 867 ms 2580 KB Output is correct
56 Correct 798 ms 2464 KB Output is correct
57 Correct 871 ms 2588 KB Output is correct
58 Correct 912 ms 2592 KB Output is correct
59 Correct 895 ms 2488 KB Output is correct
60 Correct 847 ms 1364 KB Output is correct
61 Correct 906 ms 2584 KB Output is correct
62 Correct 825 ms 2588 KB Output is correct
63 Correct 792 ms 2804 KB Output is correct
64 Correct 775 ms 2580 KB Output is correct
65 Correct 752 ms 2296 KB Output is correct
66 Correct 722 ms 2324 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 2304 KB Output is correct
2 Correct 17 ms 2304 KB Output is correct
3 Correct 9 ms 1364 KB Output is correct
4 Correct 13 ms 2288 KB Output is correct
5 Correct 35 ms 2336 KB Output is correct
6 Correct 24 ms 2324 KB Output is correct
7 Correct 18 ms 2340 KB Output is correct
8 Correct 32 ms 2296 KB Output is correct
9 Correct 24 ms 1364 KB Output is correct
10 Correct 73 ms 2276 KB Output is correct
11 Correct 73 ms 2328 KB Output is correct
12 Correct 80 ms 2332 KB Output is correct
13 Correct 70 ms 1364 KB Output is correct
14 Correct 68 ms 2312 KB Output is correct
15 Correct 70 ms 2324 KB Output is correct
16 Correct 72 ms 2316 KB Output is correct
17 Correct 44 ms 2332 KB Output is correct
18 Correct 67 ms 2324 KB Output is correct
19 Correct 71 ms 2312 KB Output is correct
20 Correct 75 ms 2288 KB Output is correct
21 Correct 161 ms 2316 KB Output is correct
22 Correct 188 ms 2316 KB Output is correct
23 Correct 128 ms 2332 KB Output is correct
24 Correct 224 ms 2316 KB Output is correct
25 Correct 248 ms 2296 KB Output is correct
26 Correct 236 ms 2312 KB Output is correct
27 Correct 245 ms 2424 KB Output is correct
28 Correct 268 ms 2320 KB Output is correct
29 Correct 240 ms 2296 KB Output is correct
30 Correct 248 ms 1364 KB Output is correct
31 Correct 252 ms 2332 KB Output is correct
32 Correct 238 ms 2324 KB Output is correct
33 Correct 263 ms 2272 KB Output is correct
34 Correct 235 ms 2276 KB Output is correct
35 Correct 243 ms 2316 KB Output is correct
36 Correct 265 ms 2320 KB Output is correct
37 Correct 511 ms 2320 KB Output is correct
38 Correct 494 ms 2320 KB Output is correct
39 Correct 612 ms 2280 KB Output is correct
40 Correct 709 ms 2452 KB Output is correct
41 Correct 667 ms 2252 KB Output is correct
42 Correct 639 ms 2448 KB Output is correct
43 Correct 614 ms 2452 KB Output is correct
44 Correct 629 ms 2424 KB Output is correct
45 Correct 606 ms 2424 KB Output is correct
46 Correct 661 ms 2320 KB Output is correct
47 Correct 638 ms 2464 KB Output is correct
48 Correct 626 ms 2456 KB Output is correct
49 Correct 623 ms 2324 KB Output is correct
50 Correct 628 ms 2452 KB Output is correct
51 Correct 595 ms 1364 KB Output is correct
52 Correct 684 ms 2448 KB Output is correct
53 Correct 783 ms 2456 KB Output is correct
54 Correct 902 ms 2492 KB Output is correct
55 Correct 867 ms 2580 KB Output is correct
56 Correct 798 ms 2464 KB Output is correct
57 Correct 871 ms 2588 KB Output is correct
58 Correct 912 ms 2592 KB Output is correct
59 Correct 895 ms 2488 KB Output is correct
60 Correct 847 ms 1364 KB Output is correct
61 Correct 906 ms 2584 KB Output is correct
62 Correct 825 ms 2588 KB Output is correct
63 Correct 792 ms 2804 KB Output is correct
64 Correct 775 ms 2580 KB Output is correct
65 Correct 752 ms 2296 KB Output is correct
66 Correct 722 ms 2324 KB Output is correct
67 Execution timed out 1002 ms 2512 KB Time limit exceeded
68 Halted 0 ms 0 KB -