Submission #372314

# Submission time Handle Problem Language Result Execution time Memory
372314 2021-02-27T15:44:13 Z Return_0 Split the sequence (APIO14_sequence) C++17
100 / 100
1514 ms 81068 KB
#pragma GCC optimize("O2")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 1e5 + 3, K = 201;
int par [K][N], n, k;
ll dp [2][N], ps [N];
void solve (int t, int l, int r, int optl, int optr) {
	if (l > r) return;
	int m = (l + r) >> 1;
	ll bst = -1;
	par[t][m] = optl;
	for (int i = optl; i <= min(m - 1, optr); ++i) {
		ll p = dp[(t & 1) ^ 1][i] + ps[i] * (ps[m] - ps[i]);
		if (p > bst) {
			bst = p;
			par[t][m] = i;
		}
	}
	dp[t & 1][m] = bst;
	solve(t, l, m - 1, optl, par[t][m]);
	solve(t, m + 1, r, par[t][m], optr);
}
int main ()
{
	ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
	cin>> n >> k;
	for (int i = 1; i <= n; i++) cin>> ps[i], ps[i] += ps[i - 1];
	for (int i = 1; i <= k; i++) solve(i, 1, n, 1, n);
	cout<< dp[k & 1][n] << '\n';
	int cur = n;
	for (int i = k; i > 0; --i) cur = par[i][cur], cout<< cur << ' ';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 364 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 364 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 364 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 364 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 364 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 364 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 364 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 364 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 364 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 364 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 364 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 364 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 364 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 364 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 620 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 364 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 364 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 364 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 492 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 364 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 364 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 492 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 364 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1516 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 364 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1132 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1388 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1516 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 620 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 492 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 620 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 364 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 2156 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 364 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 2156 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1900 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 2156 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2156 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 748 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1132 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 748 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 748 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 65 ms 9340 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 748 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 77 ms 5868 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 77 ms 6764 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 67 ms 7148 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 46 ms 5996 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 67 ms 6764 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 84 ms 8464 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 27 ms 3820 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 27 ms 3820 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 719 ms 81068 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 33 ms 3820 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1514 ms 80956 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 920 ms 57724 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 783 ms 62024 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 529 ms 50796 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 710 ms 58012 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 919 ms 73624 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845