Submission #673442

# Submission time Handle Problem Language Result Execution time Memory
673442 2022-12-20T15:35:59 Z pragmatist Bootfall (IZhO17_bootfall) C++17
100 / 100
946 ms 5460 KB
/*
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("O3")
#pragma GCC target ("avx2")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("unroll-loops")
*/

#pragma GCC target("avx2", "bmi", "bmi2", "lzcnt", "popcnt")

#include<bits/stdc++.h>
 
#define sz(v) (int)v.size()
#define ll long long
#define pb push_back
#define x first
#define y second
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define nl "\n"

using namespace std;
using pii = pair<int, int>;

const int N = (int)5e2 + 7; // make sure this is right
const int M = N * N;
const int inf = (int)1e9;
const ll INF = (ll)3e18 + 7; 
const ll MOD = (ll)1e18 + 7; // make sure this is right

pii dir[] = {{1, 0}, {0, 1}, {-1, 0}, {0, -1}};

int n, a[N];
ll dp[M], cnt[M];

ll sum(ll x, ll y) {
	x += y;
	if(x >= MOD) x -= MOD;
	return x;
}

ll sub(ll x, ll y) {
	x -= y;
	if(x < 0) x += MOD;
	return x;
}

void add(int x) {
	for(int i = M - 1; i >= x; --i) {
		dp[i] = sum(dp[i], dp[i - x]);
	}
}

void del(int x) {
	for(int i = x; i < M; ++i) {
		dp[i] = sub(dp[i], dp[i - x]);
	}
}

void solve() {
	cin >> n;
	dp[0] = 1;
	int sum = 0;
	for(int i = 1; i <= n; ++i) {
		cin >> a[i];
	    add(a[i]);
		sum += a[i];
	}
	if((sum & 1) || !dp[sum / 2]) {
		cout << "0\n";
		return;
	}
	for(int i = 1; i <= n; ++i) {
		del(a[i]);
		for(int x = 1; x < M; ++x) {
			if(dp[x] > 0 && 2 * x > sum - a[i]) {
				int need =  2 * x - sum + a[i];
				cnt[need]++;
			}
		}
		add(a[i]);
	}
	vector<int> ans;
	for(int x = 1; x < M; ++x) if(cnt[x] == n) ans.pb(x);
	cout << sz(ans) << nl;
	for(auto x : ans) cout << x << ' ';
}

signed main() {	
	ios_base::sync_with_stdio(0);
	cin.tie(0);                                                         

	int test = 1;
	//cin >> test;
	for(int i = 1; i <= test; ++i) {
	 	//cout << "Case #" << i << ": ";
		solve();
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2260 KB Output is correct
2 Correct 8 ms 2340 KB Output is correct
3 Correct 2 ms 2260 KB Output is correct
4 Correct 5 ms 2260 KB Output is correct
5 Correct 13 ms 2260 KB Output is correct
6 Correct 10 ms 2260 KB Output is correct
7 Correct 10 ms 2260 KB Output is correct
8 Correct 12 ms 2348 KB Output is correct
9 Correct 11 ms 2348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2260 KB Output is correct
2 Correct 8 ms 2340 KB Output is correct
3 Correct 2 ms 2260 KB Output is correct
4 Correct 5 ms 2260 KB Output is correct
5 Correct 13 ms 2260 KB Output is correct
6 Correct 10 ms 2260 KB Output is correct
7 Correct 10 ms 2260 KB Output is correct
8 Correct 12 ms 2348 KB Output is correct
9 Correct 11 ms 2348 KB Output is correct
10 Correct 29 ms 2260 KB Output is correct
11 Correct 30 ms 2260 KB Output is correct
12 Correct 29 ms 2260 KB Output is correct
13 Correct 27 ms 2260 KB Output is correct
14 Correct 27 ms 2260 KB Output is correct
15 Correct 29 ms 2260 KB Output is correct
16 Correct 31 ms 2260 KB Output is correct
17 Correct 20 ms 2428 KB Output is correct
18 Correct 23 ms 2260 KB Output is correct
19 Correct 25 ms 2340 KB Output is correct
20 Correct 28 ms 2336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2260 KB Output is correct
2 Correct 8 ms 2340 KB Output is correct
3 Correct 2 ms 2260 KB Output is correct
4 Correct 5 ms 2260 KB Output is correct
5 Correct 13 ms 2260 KB Output is correct
6 Correct 10 ms 2260 KB Output is correct
7 Correct 10 ms 2260 KB Output is correct
8 Correct 12 ms 2348 KB Output is correct
9 Correct 11 ms 2348 KB Output is correct
10 Correct 29 ms 2260 KB Output is correct
11 Correct 30 ms 2260 KB Output is correct
12 Correct 29 ms 2260 KB Output is correct
13 Correct 27 ms 2260 KB Output is correct
14 Correct 27 ms 2260 KB Output is correct
15 Correct 29 ms 2260 KB Output is correct
16 Correct 31 ms 2260 KB Output is correct
17 Correct 20 ms 2428 KB Output is correct
18 Correct 23 ms 2260 KB Output is correct
19 Correct 25 ms 2340 KB Output is correct
20 Correct 28 ms 2336 KB Output is correct
21 Correct 74 ms 2344 KB Output is correct
22 Correct 88 ms 2464 KB Output is correct
23 Correct 53 ms 2340 KB Output is correct
24 Correct 91 ms 2380 KB Output is correct
25 Correct 89 ms 2340 KB Output is correct
26 Correct 105 ms 2336 KB Output is correct
27 Correct 110 ms 2384 KB Output is correct
28 Correct 103 ms 2344 KB Output is correct
29 Correct 91 ms 2396 KB Output is correct
30 Correct 125 ms 2340 KB Output is correct
31 Correct 105 ms 2380 KB Output is correct
32 Correct 111 ms 2332 KB Output is correct
33 Correct 91 ms 2380 KB Output is correct
34 Correct 100 ms 2340 KB Output is correct
35 Correct 105 ms 2404 KB Output is correct
36 Correct 106 ms 2380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2260 KB Output is correct
2 Correct 8 ms 2340 KB Output is correct
3 Correct 2 ms 2260 KB Output is correct
4 Correct 5 ms 2260 KB Output is correct
5 Correct 13 ms 2260 KB Output is correct
6 Correct 10 ms 2260 KB Output is correct
7 Correct 10 ms 2260 KB Output is correct
8 Correct 12 ms 2348 KB Output is correct
9 Correct 11 ms 2348 KB Output is correct
10 Correct 29 ms 2260 KB Output is correct
11 Correct 30 ms 2260 KB Output is correct
12 Correct 29 ms 2260 KB Output is correct
13 Correct 27 ms 2260 KB Output is correct
14 Correct 27 ms 2260 KB Output is correct
15 Correct 29 ms 2260 KB Output is correct
16 Correct 31 ms 2260 KB Output is correct
17 Correct 20 ms 2428 KB Output is correct
18 Correct 23 ms 2260 KB Output is correct
19 Correct 25 ms 2340 KB Output is correct
20 Correct 28 ms 2336 KB Output is correct
21 Correct 74 ms 2344 KB Output is correct
22 Correct 88 ms 2464 KB Output is correct
23 Correct 53 ms 2340 KB Output is correct
24 Correct 91 ms 2380 KB Output is correct
25 Correct 89 ms 2340 KB Output is correct
26 Correct 105 ms 2336 KB Output is correct
27 Correct 110 ms 2384 KB Output is correct
28 Correct 103 ms 2344 KB Output is correct
29 Correct 91 ms 2396 KB Output is correct
30 Correct 125 ms 2340 KB Output is correct
31 Correct 105 ms 2380 KB Output is correct
32 Correct 111 ms 2332 KB Output is correct
33 Correct 91 ms 2380 KB Output is correct
34 Correct 100 ms 2340 KB Output is correct
35 Correct 105 ms 2404 KB Output is correct
36 Correct 106 ms 2380 KB Output is correct
37 Correct 204 ms 2628 KB Output is correct
38 Correct 228 ms 2540 KB Output is correct
39 Correct 220 ms 2800 KB Output is correct
40 Correct 275 ms 2764 KB Output is correct
41 Correct 269 ms 2832 KB Output is correct
42 Correct 305 ms 2720 KB Output is correct
43 Correct 262 ms 3096 KB Output is correct
44 Correct 283 ms 3148 KB Output is correct
45 Correct 274 ms 3148 KB Output is correct
46 Correct 270 ms 2564 KB Output is correct
47 Correct 288 ms 2700 KB Output is correct
48 Correct 297 ms 3052 KB Output is correct
49 Correct 243 ms 2800 KB Output is correct
50 Correct 274 ms 2724 KB Output is correct
51 Correct 71 ms 2324 KB Output is correct
52 Correct 303 ms 3216 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2260 KB Output is correct
2 Correct 8 ms 2340 KB Output is correct
3 Correct 2 ms 2260 KB Output is correct
4 Correct 5 ms 2260 KB Output is correct
5 Correct 13 ms 2260 KB Output is correct
6 Correct 10 ms 2260 KB Output is correct
7 Correct 10 ms 2260 KB Output is correct
8 Correct 12 ms 2348 KB Output is correct
9 Correct 11 ms 2348 KB Output is correct
10 Correct 29 ms 2260 KB Output is correct
11 Correct 30 ms 2260 KB Output is correct
12 Correct 29 ms 2260 KB Output is correct
13 Correct 27 ms 2260 KB Output is correct
14 Correct 27 ms 2260 KB Output is correct
15 Correct 29 ms 2260 KB Output is correct
16 Correct 31 ms 2260 KB Output is correct
17 Correct 20 ms 2428 KB Output is correct
18 Correct 23 ms 2260 KB Output is correct
19 Correct 25 ms 2340 KB Output is correct
20 Correct 28 ms 2336 KB Output is correct
21 Correct 74 ms 2344 KB Output is correct
22 Correct 88 ms 2464 KB Output is correct
23 Correct 53 ms 2340 KB Output is correct
24 Correct 91 ms 2380 KB Output is correct
25 Correct 89 ms 2340 KB Output is correct
26 Correct 105 ms 2336 KB Output is correct
27 Correct 110 ms 2384 KB Output is correct
28 Correct 103 ms 2344 KB Output is correct
29 Correct 91 ms 2396 KB Output is correct
30 Correct 125 ms 2340 KB Output is correct
31 Correct 105 ms 2380 KB Output is correct
32 Correct 111 ms 2332 KB Output is correct
33 Correct 91 ms 2380 KB Output is correct
34 Correct 100 ms 2340 KB Output is correct
35 Correct 105 ms 2404 KB Output is correct
36 Correct 106 ms 2380 KB Output is correct
37 Correct 204 ms 2628 KB Output is correct
38 Correct 228 ms 2540 KB Output is correct
39 Correct 220 ms 2800 KB Output is correct
40 Correct 275 ms 2764 KB Output is correct
41 Correct 269 ms 2832 KB Output is correct
42 Correct 305 ms 2720 KB Output is correct
43 Correct 262 ms 3096 KB Output is correct
44 Correct 283 ms 3148 KB Output is correct
45 Correct 274 ms 3148 KB Output is correct
46 Correct 270 ms 2564 KB Output is correct
47 Correct 288 ms 2700 KB Output is correct
48 Correct 297 ms 3052 KB Output is correct
49 Correct 243 ms 2800 KB Output is correct
50 Correct 274 ms 2724 KB Output is correct
51 Correct 71 ms 2324 KB Output is correct
52 Correct 303 ms 3216 KB Output is correct
53 Correct 335 ms 2960 KB Output is correct
54 Correct 424 ms 3128 KB Output is correct
55 Correct 462 ms 3732 KB Output is correct
56 Correct 385 ms 3144 KB Output is correct
57 Correct 504 ms 3876 KB Output is correct
58 Correct 423 ms 3184 KB Output is correct
59 Correct 419 ms 3308 KB Output is correct
60 Correct 96 ms 2324 KB Output is correct
61 Correct 475 ms 3528 KB Output is correct
62 Correct 399 ms 3620 KB Output is correct
63 Correct 419 ms 3648 KB Output is correct
64 Correct 460 ms 3632 KB Output is correct
65 Correct 301 ms 2636 KB Output is correct
66 Correct 294 ms 2740 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2260 KB Output is correct
2 Correct 8 ms 2340 KB Output is correct
3 Correct 2 ms 2260 KB Output is correct
4 Correct 5 ms 2260 KB Output is correct
5 Correct 13 ms 2260 KB Output is correct
6 Correct 10 ms 2260 KB Output is correct
7 Correct 10 ms 2260 KB Output is correct
8 Correct 12 ms 2348 KB Output is correct
9 Correct 11 ms 2348 KB Output is correct
10 Correct 29 ms 2260 KB Output is correct
11 Correct 30 ms 2260 KB Output is correct
12 Correct 29 ms 2260 KB Output is correct
13 Correct 27 ms 2260 KB Output is correct
14 Correct 27 ms 2260 KB Output is correct
15 Correct 29 ms 2260 KB Output is correct
16 Correct 31 ms 2260 KB Output is correct
17 Correct 20 ms 2428 KB Output is correct
18 Correct 23 ms 2260 KB Output is correct
19 Correct 25 ms 2340 KB Output is correct
20 Correct 28 ms 2336 KB Output is correct
21 Correct 74 ms 2344 KB Output is correct
22 Correct 88 ms 2464 KB Output is correct
23 Correct 53 ms 2340 KB Output is correct
24 Correct 91 ms 2380 KB Output is correct
25 Correct 89 ms 2340 KB Output is correct
26 Correct 105 ms 2336 KB Output is correct
27 Correct 110 ms 2384 KB Output is correct
28 Correct 103 ms 2344 KB Output is correct
29 Correct 91 ms 2396 KB Output is correct
30 Correct 125 ms 2340 KB Output is correct
31 Correct 105 ms 2380 KB Output is correct
32 Correct 111 ms 2332 KB Output is correct
33 Correct 91 ms 2380 KB Output is correct
34 Correct 100 ms 2340 KB Output is correct
35 Correct 105 ms 2404 KB Output is correct
36 Correct 106 ms 2380 KB Output is correct
37 Correct 204 ms 2628 KB Output is correct
38 Correct 228 ms 2540 KB Output is correct
39 Correct 220 ms 2800 KB Output is correct
40 Correct 275 ms 2764 KB Output is correct
41 Correct 269 ms 2832 KB Output is correct
42 Correct 305 ms 2720 KB Output is correct
43 Correct 262 ms 3096 KB Output is correct
44 Correct 283 ms 3148 KB Output is correct
45 Correct 274 ms 3148 KB Output is correct
46 Correct 270 ms 2564 KB Output is correct
47 Correct 288 ms 2700 KB Output is correct
48 Correct 297 ms 3052 KB Output is correct
49 Correct 243 ms 2800 KB Output is correct
50 Correct 274 ms 2724 KB Output is correct
51 Correct 71 ms 2324 KB Output is correct
52 Correct 303 ms 3216 KB Output is correct
53 Correct 335 ms 2960 KB Output is correct
54 Correct 424 ms 3128 KB Output is correct
55 Correct 462 ms 3732 KB Output is correct
56 Correct 385 ms 3144 KB Output is correct
57 Correct 504 ms 3876 KB Output is correct
58 Correct 423 ms 3184 KB Output is correct
59 Correct 419 ms 3308 KB Output is correct
60 Correct 96 ms 2324 KB Output is correct
61 Correct 475 ms 3528 KB Output is correct
62 Correct 399 ms 3620 KB Output is correct
63 Correct 419 ms 3648 KB Output is correct
64 Correct 460 ms 3632 KB Output is correct
65 Correct 301 ms 2636 KB Output is correct
66 Correct 294 ms 2740 KB Output is correct
67 Correct 503 ms 3476 KB Output is correct
68 Correct 133 ms 2320 KB Output is correct
69 Correct 894 ms 5124 KB Output is correct
70 Correct 702 ms 4092 KB Output is correct
71 Correct 733 ms 4172 KB Output is correct
72 Correct 699 ms 3380 KB Output is correct
73 Correct 731 ms 3356 KB Output is correct
74 Correct 946 ms 5216 KB Output is correct
75 Correct 811 ms 4640 KB Output is correct
76 Correct 938 ms 5356 KB Output is correct
77 Correct 931 ms 5460 KB Output is correct