Submission #416245

# Submission time Handle Problem Language Result Execution time Memory
416245 2021-06-02T08:21:28 Z DEQK Split the sequence (APIO14_sequence) C++17
100 / 100
1062 ms 80944 KB
#include <bits/stdc++.h>
 
#define ll long long
using namespace std;
const int N = 100100;
int n, k;
ll a[N];
ll dp[N][2];
int p[201][N];
int cur;
void solve(int l,int r,int tl,int tr) {
	if(l > r) return;
	int m = l + r >> 1;
	for(int i = tl; i < min(m, tr + 1); i++) {
		if(dp[m][1] <= dp[i][0] + a[i] * (a[m] - a[i])) {
			dp[m][1] = dp[i][0] + a[i] * (a[m] - a[i]);
			p[cur][m] = i;
		}
	}
	solve(l, m - 1, tl, p[cur][m]);
	solve(m + 1, r, p[cur][m], tr);
}
int main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	cin >> n >> k;
	for(int i = 1; i <= n; ++i) {
		cin >> a[i];
		a[i] += a[i - 1];
	}
	for(int j = 1; j <= k; j++) {
		cur = j;
		solve(1, n, 1, n);
		for(int i = 1; i <= n; i++) {
			dp[i][0] = dp[i][1];
			dp[i][1] = 0;
		}		
	}
	cout << dp[n][0] << "\n";
	int pos = n;
	for(int j = k; j; j--) {
		cout << p[j][pos] << " ";
		pos = p[j][pos];
	}
}

Compilation message

sequence.cpp: In function 'void solve(int, int, int, int)':
sequence.cpp:13:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   13 |  int m = l + r >> 1;
      |          ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 460 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 332 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 332 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1356 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 1100 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1228 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1356 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 460 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 588 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 332 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 2064 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 1996 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1740 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 2072 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 1996 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 588 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 972 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 588 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 588 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 67 ms 9240 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 588 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 59 ms 5808 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 58 ms 6600 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 72 ms 7080 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 49 ms 5816 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 54 ms 6632 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 70 ms 8404 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 25 ms 3732 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 25 ms 3760 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 763 ms 80944 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 23 ms 3788 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1062 ms 80932 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 636 ms 57412 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 788 ms 61420 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 565 ms 50436 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 609 ms 57488 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 756 ms 73064 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845