Submission #1054798

# Submission time Handle Problem Language Result Execution time Memory
1054798 2024-08-12T12:12:43 Z 1ne Split the sequence (APIO14_sequence) C++14
50 / 100
2000 ms 110968 KB
/*
*  author : Apiram                  
*  created: 26.06.2023 00:43:43
*/
 
#include<bits/stdc++.h>
using namespace std;
 
int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	int n,k;cin>>n>>k;
	vector<long long>arr(n);
	for (int i = 0;i<n;++i){
		cin>>arr[i];
	}
	vector<long long>pref(n + 1,0);
	for (int i = 0;i<n;++i){
	 pref[i + 1] = pref[i] + arr[i];
	}
	auto query = [&](int u,int v){
	  return pref[v + 1] - pref[u];
	};
	vector<vector<vector<long long>>>dp(n + 1,vector<vector<long long>>(k + 1,vector<long long>(2,-1)));
	for (int i = 0;i<n;++i){
		dp[i][0][0] = 0;
		dp[i][0][1] = -1;
	}
	for (int i = 1;i<=k;++i){
		for (int j = 1;j<n;++j){
			for (int p = 0;p<j;++p){
				if (dp[j][i][0] < dp[p][i - 1][0] + query(p,j - 1) * query(j,n - 1)){
					dp[j][i][0] = dp[p][i - 1][0] + query(p,j - 1) * query(j,n - 1);
					dp[j][i][1] = p;
				}
			}
		}
	}
	long long ans = -1;
	int v = -1;
	for (int i = 1;i<n;++i){
		if (dp[i][k][0] > ans){
			ans = dp[i][k][0];
			v = i;
		}
	}
	cout<<ans<<'\n';
	vector<int>pos;
	for (int i = 0;i<k;++i){
		pos.push_back(v);
		v = dp[v][k - i][1];
	}
	reverse(pos.begin(),pos.end());
	for (auto x:pos)cout<<x<<" ";
	cout<<'\n';
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 348 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 348 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 348 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 348 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 348 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 348 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 348 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 348 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 348 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 348 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 348 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 348 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 348 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 348 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 348 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 348 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 348 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 348 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 348 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 348 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 348 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 348 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 348 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 7 ms 2652 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 348 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 1884 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 2460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 7 ms 2652 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 860 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 604 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 860 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 604 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 604 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 233 ms 11356 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 604 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 288 ms 11432 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 187 ms 9816 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 285 ms 11356 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 286 ms 11352 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 39 ms 2648 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 67 ms 4928 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 439 ms 3164 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 456 ms 3164 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Execution timed out 2039 ms 110968 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 2011 ms 27736 KB Time limit exceeded
2 Halted 0 ms 0 KB -