oj.uz

Submission #312591

# Submission time Handle Problem Language Result Execution time Memory
312591 2020-10-13T20:31:27 Z aZvezda Split the sequence (APIO14_sequence) C++14
50 / 100
 2000 ms 131076 KB 
#include <bits/stdc++.h>
using namespace std;
//#pragma GCC optimize ("O3")
//#pragma GCC target ("sse4")
#define endl "\n"
typedef long long ll;
template<class T, class T2> inline ostream &operator <<(ostream &out, const pair<T, T2> &x) { out << x.first << " " << x.second; return out;}
template<class T, class T2> inline istream &operator >>(istream &in, pair<T, T2> &x) { in >> x.first >> x.second; return in;}
template<class T, class T2> inline bool chkmax(T &x, const T2 &y) { return x < y ? x = y, 1 : 0; }
template<class T, class T2> inline bool chkmin(T &x, const T2 &y) { return x > y ? x = y, 1 : 0; }
const ll mod = 1e9 + 7;
#define out(x) "{" << (#x) << ": " << x << "} "

const int MAX_N = 1e5 + 10, MAX_K = 210;
ll dp[MAX_N][MAX_K], hist[MAX_N][MAX_K];
ll pref[MAX_N], arr[MAX_N];

void output(int n, int k) {
    if(k == 0) {
        return;
    }
    output(hist[n][k], k - 1);
    cout << hist[n][k] << " ";
}

signed main() {
    //ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
    int n, k;
    cin >> n >> k;
    for(int i = 1; i <= n; i ++) {
        cin >> arr[i];
        pref[i] = pref[i - 1] + arr[i];
    }
    for(int i = 0; i <= n; i ++) {
        for(int j = 1; j <= k; j ++) {
            dp[i][j] = -mod;
        }
    }
    for(int i = 1; i <= n; i ++) {
        for(int j = 1; j <= k; j ++) {
            for(int q = 1; q < i; q ++) {
                if(chkmax(dp[i][j], dp[q][j - 1] + pref[q] * pref[i] - pref[q] * pref[q])) {
                    hist[i][j] = q;
                }
            }
        }
    }
    cout << dp[n][k] << endl;
    output(n, k);
    return 0;
}

/*
7 3
4 1 3 4 0 2 3
*/

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 384 KB contestant found the optimal answer: 999919994 == 999919994

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 512 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 512 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 512 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 512 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 512 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 512 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 512 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 512 KB contestant found the optimal answer: 29000419931 == 29000419931

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1024 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 1024 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 8 ms 1024 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 1024 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 1024 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 8 ms 1012 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 8 ms 1024 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 1152 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 1024 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 1024 KB contestant found the optimal answer: 490686959791 == 490686959791

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 3584 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 3584 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 191 ms 3704 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 6 ms 3584 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 218 ms 3688 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 189 ms 3576 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 197 ms 3704 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 198 ms 3616 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 50 ms 3576 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 102 ms 3576 KB contestant found the optimal answer: 12345131038664 == 12345131038664

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 720 ms 33528 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 649 ms 33528 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Execution timed out 2073 ms 22136 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #6
0 / 29.0

# Verdict Execution time Memory Grader output
1 Runtime error 95 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -