Submission #241096

# Submission time Handle Problem Language Result Execution time Memory
241096 2020-06-22T15:01:05 Z vioalbert Split the sequence (APIO14_sequence) C++14
100 / 100
1943 ms 83884 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

const ll N = 1e5+5, K = 205;
ll n, k;
ll a[N], pref[N];
ll dp[N][2];
int opt[N][K];

ll cost(int i, int j) {
	return (pref[j] - pref[i-1]) * (pref[n] - pref[j]);
}

void solve(int j, int l, int r, int optL, int optR) {
	if(l > r) return;
	int i = (l+r)/2;
	for(int k = optL; k <= min(i-1, optR); k++) {
		ll cur = dp[k][(j-1)&1] + cost(k, i-1);
		if(dp[i][j&1] <= cur)
			dp[i][j&1] = cur, opt[i][j] = k;
	}

	solve(j, l, i-1, optL, opt[i][j]);
	solve(j, i+1, r, opt[i][j], optR);
}

void solve() {
	cin >> n >> k;
	for(int i = 1; i <= n; i++)
		cin >> a[i];
	pref[0] = 0;
	for(int i = 1; i <= n; i++) {
		dp[i][0] = 0;
		opt[i][0] = 0;
		pref[i] = pref[i-1] + a[i];
	}

	for(int j = 1; j <= k; j++) {
		for(int i = 1; i <= n; i++)
			dp[i][j&1] = -1;
		solve(j, 1, n, j, n-1);
	}

	ll ans = -1; int cur = -1;
	for(int i = 1; i <= n; i++) {
		if(ans < dp[i][k&1])
			ans = dp[i][k&1], cur = i;
	}
	cout << ans << '\n';
	for(int i = k; i > 0; i--) {
		cout << cur-1 << ' ';
		cur = opt[cur][i];
	}
	cout << '\n';
}

int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	solve();
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 4 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 4 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 512 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 4 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 4 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 4 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 4 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 416 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 4 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 4 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 384 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 5 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 6 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 512 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 512 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 512 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 512 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 512 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 512 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 512 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 512 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 1152 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 1280 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 1152 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 6 ms 1152 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 1152 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 ms 1152 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 1152 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 11 ms 1152 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 1152 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1152 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 12 ms 8704 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 10 ms 8704 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 85 ms 8704 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 11 ms 8704 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 69 ms 8704 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 71 ms 8704 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 86 ms 8704 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 74 ms 8704 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 77 ms 8704 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 84 ms 8704 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 72 ms 83708 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 91 ms 83704 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1740 ms 83832 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 84 ms 83704 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1943 ms 83832 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1349 ms 83832 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1402 ms 83748 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 1106 ms 83704 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1334 ms 83704 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1650 ms 83884 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845