Submission #122552

# Submission time Handle Problem Language Result Execution time Memory
122552 2019-06-28T15:11:06 Z jakob_nogler Split the sequence (APIO14_sequence) C++14
22 / 100
186 ms 131072 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N = 100005, K = 205;

ll dp[K][N], sum[N], val[N], m[N], q[N], tot = 0;
int nxt[K][N];

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n, k;
    cin >> n >> k;

    for(int i = 0; i < n; i++){
        cin >> val[i];
        tot += val[i];
        sum[i] += val[i];
        sum[i + 1] += sum[i];
    }

    for(int i = 0; i < n; i++)
        m[i] = tot - (i == 0 ? 0 : sum[i - 1]);

    for(int i = 1; i <= k; i++){
        int idx = n - 1;
        for(int j = n - 1; j >= 0; j--){
            ll curr = m[j];
            while(idx - 1 > j && m[idx - 1] * curr + q[idx - 1] >= m[idx] * curr + q[idx]) idx--;

            nxt[i][j] = idx;
            if(j != n - 1) dp[i][j] = m[idx] * curr + q[idx];
            q[j] = dp[i - 1][j] - m[j] * m[j];
        }
    }

    cout << dp[k][0] << endl;
    int curr = nxt[k][0];
    for(int i = k - 1; i >= 0; i--){
        cout << curr << " ";
        curr = nxt[i][curr];
    }
    cout << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 3 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 4 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 512 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 3 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 4 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 896 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 512 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Incorrect 2 ms 640 KB contestant didn't find the optimal answer: 25082538217 < 25082842857
8 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 5 ms 2816 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 2048 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 2688 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 2816 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 896 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 768 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 1024 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 512 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 512 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 4736 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 512 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 4736 KB contestant found the optimal answer: 679388326 == 679388326
6 Incorrect 7 ms 4096 KB contestant didn't find the optimal answer: 4698997296 < 4699030287
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 1152 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 1024 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 34 ms 26104 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 1024 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 29 ms 16124 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Incorrect 31 ms 18552 KB contestant didn't find the optimal answer: 514785624128 < 514790755404
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 18 ms 7040 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 17 ms 7040 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Runtime error 186 ms 131072 KB Execution killed with signal 9 (could be triggered by violating memory limits)
4 Halted 0 ms 0 KB -