Submission #958127

# Submission time Handle Problem Language Result Execution time Memory
958127 2024-04-05T01:47:01 Z MinaRagy06 Split the sequence (APIO14_sequence) C++17
71 / 100
2000 ms 85492 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
 
const int N = 100'005;
const ll inf = 1e18;
int a[N];
ll prf[N];
int prv[205][N];
array<ll, 2> dp[2][N];
void solve(int j, int l, int r, int optl, int optr) {
	if (l > r) return;
	int i = (l + r) >> 1;
	dp[j][i] = {-inf, -1};
	for (int k = optl; k <= min(i - 1, optr); k++) {
		dp[j][i] = max(dp[j][i], {dp[j ^ 1][k][0] + prf[k] * (prf[i] - prf[k]), k});
	}
	solve(j, l, i - 1, optl, dp[j][i][1]);
	solve(j, i + 1, r, dp[j][i][1], optr);
}
int main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	int n, m;
	cin >> n >> m;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
		prf[i] = prf[i - 1] + a[i];
	}
	m++;
	for (int i = 1; i <= n; i++) dp[0][i] = {-inf, -1};
	for (int j = 1; j <= m; j++) {
		dp[j & 1][0] = {-inf, -1};
		solve(j & 1, 1, n, 0, n - 1);
		for (int i = 1; i <= n; i++) {
			prv[j][i] = dp[j & 1][i][1];
		}
	}
	cout << dp[m & 1][n][0] << '\n';
	int j = m, i = n;
	vector<int> ans;
	while (j > 1) {
		ans.push_back(prv[j][i]);
		i = prv[j][i];
		j--;
	}
	reverse(ans.begin(), ans.end());
	for (auto x : ans) {
		cout << x << ' ';
	}
	cout << '\n';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 8540 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 6492 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 8540 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 10588 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 6492 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 6492 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 6492 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 8540 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 8792 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 8536 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 8540 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 8540 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 8540 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 8540 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 8536 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 8540 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 8540 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 25080 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 8540 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 10588 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 8540 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 16732 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 10588 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 8620 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 12632 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8792 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 8540 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 36 ms 84556 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 8536 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 9 ms 61968 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 10 ms 76288 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 11 ms 84568 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 24924 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 16728 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 4 ms 29016 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 8536 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 8540 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 22 ms 84500 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 8536 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 24 ms 84564 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 19 ms 74332 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 21 ms 84572 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 22 ms 84536 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 5 ms 22876 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 10 ms 37212 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 8792 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 8796 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 146 ms 84700 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 8796 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 114 ms 53924 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 117 ms 62100 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 126 ms 66224 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 101 ms 53840 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 118 ms 62188 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 150 ms 76456 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 36 ms 9048 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 34 ms 9040 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1665 ms 85492 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 32 ms 9132 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Execution timed out 2065 ms 83264 KB Time limit exceeded
6 Halted 0 ms 0 KB -