Submission #660344

# Submission time Handle Problem Language Result Execution time Memory
660344 2022-11-21T17:14:59 Z leroycut Split the sequence (APIO14_sequence) C++17
50 / 100
2000 ms 53340 KB
#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
using ld = long double;
 
const int N = 1e5 + 3;
const ll INF = 2e12 + 3;

int n, k;
ll dp[N][203], p[N];
 
ld cross(int i, int j, int c){
    ld rb = (dp[j][c - 1] - p[j] * p[j]) - (dp[i][c - 1] - p[i] * p[i]);
    ld rk = p[i] - p[j];
    return rb / rk;
}

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
 
    cin >> n >> k;
    for(int i = 1; i <= n; ++i){
        ll a;
        cin >> a;
        p[i] = p[i - 1] + a;
    }


    for(int j = 1; j <= k; ++j){
        for(int i = j + 1; i <= n; ++i){
            for(int t = 1; t < i; ++t){
                dp[i][j] = max(dp[i][j], dp[t][j - 1] + p[t] * (p[i] - p[t]));
            }
        }
    }

    cout << dp[n][k] << "\n";
    int poi = n - 1, end = n, cnt = k - 1;
    for(; poi >= 1 && cnt >= 0; --poi){
        if(dp[poi][cnt] + p[poi] * (p[end] - p[poi]) == dp[end][cnt + 1]){
            cout << poi << " ";
            end = poi;
            cnt--;
        }
    }
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 212 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 340 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 340 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 340 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 340 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 596 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 596 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 596 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 596 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 596 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 596 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 596 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 596 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 596 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 596 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 4 ms 1876 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 1876 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 154 ms 1916 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 4 ms 1876 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 148 ms 1912 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 122 ms 1912 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 150 ms 1920 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 139 ms 1912 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 29 ms 1876 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 58 ms 1920 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 629 ms 16404 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 486 ms 16232 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Execution timed out 2063 ms 16208 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 2087 ms 53340 KB Time limit exceeded
2 Halted 0 ms 0 KB -