Submission #964202

# Submission time Handle Problem Language Result Execution time Memory
964202 2024-04-16T12:09:26 Z Syrius Split the sequence (APIO14_sequence) C++14
50 / 100
2000 ms 70836 KB
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define ll long long
#define ff first
#define ss second
#define pint pair < int , int >
#define fast ios_base::sync_with_stdio(NULL); cin.tie(NULL)

const int inf = 1e18 + 9;
const int mxn = 1e5 + 2;
const int mod = 1e9 + 7;

int dp[mxn][201] , a[mxn];
int pre[mxn];
int id[mxn][201];

int sq(int x) {
	return x * x;
}

signed main() {

	int n , k;
	cin >> n >> k;

	for (int i = 1; i <= n; i++) {
		cin >> a[i];
		pre[i] = pre[i-1] + a[i];
	}

	for (int i = 0; i <= k; i++) dp[0][i] = 0;

	for (int i = 1; i <= n; i++) {
		dp[i][1] = sq(pre[i]);
		for (int j = 2; j <= k+1; j++) {
			dp[i][j] = inf;
			for (int q = 1; q < i; q++) {
				if (dp[i][j] > dp[q][j-1] + sq(pre[i] - pre[q])) {
					dp[i][j] = dp[q][j-1] + sq(pre[i] - pre[q]);
					id[i][j] = q;
				}
			}
		}
	}

	cout << (sq(pre[n]) - dp[n][k+1]) / 2 << '\n';
	int x = id[n][k+1];
	k++;

	while (k > 1) {
		cout << x << ' ';
		k--;
		x = id[x][k];
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 4444 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 4444 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 4444 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 4440 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 4444 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 4440 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 4444 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 4444 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 4440 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 4440 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 4440 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 4444 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 4440 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 4444 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 4440 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 4444 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 4540 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 4444 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 4444 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 4440 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 4444 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 4444 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6748 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 6748 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 6748 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 6748 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 7 ms 6748 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 6748 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 6748 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 6748 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 6748 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 6748 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 4 ms 8792 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 8820 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 124 ms 8800 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 4 ms 8796 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 126 ms 8784 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 124 ms 8804 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 115 ms 8812 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 120 ms 8804 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 28 ms 8792 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 49 ms 8560 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 359 ms 37512 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 362 ms 37524 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Execution timed out 2033 ms 19060 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 2055 ms 70836 KB Time limit exceeded
2 Halted 0 ms 0 KB -