Submission #655295

# Submission time Handle Problem Language Result Execution time Memory
655295 2022-11-03T18:37:56 Z benjaminkleyn Split the sequence (APIO14_sequence) C++17
33 / 100
42 ms 81932 KB
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
 
int N, K, a[100001];
ll pref[100001] = {0};
ll dp[100001][2] = {0};
int last_split[100001][201];

bool check(int i, int j)
{
    return (dp[i][0] - pref[i] * pref[i] >= dp[j][0] - pref[j] * pref[j]);
}

ll eval(int j, int i)
{
    return dp[j][0] + pref[j] * (pref[i] - pref[j]);
}
 
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    cin >> N >> K;
    for (int i = 1; i <= N; i++)
    {
         cin >> a[i];
         pref[i] = pref[i-1] + a[i];
    }
 
    for (int k = 1; k <= K; k++)
    {
        deque<int> cht;
        for (int i = k + 1; i <= N; i++)
        {
            dp[i][1] = 0;
            cht.push_back(i-1);

            while (cht.size() > 2 && eval(cht[0], i) <= eval(cht[1], i) && check(cht[0], cht[1]))
                cht.pop_front();

            eval(cht[0], i);
            dp[i][1] = eval(cht.front(), i);
            last_split[i][k] = cht.front();

            if (dp[i][1] < eval(cht.back(), i))
            {
                dp[i][1] = eval(cht.back(), i);
                last_split[i][k] = cht.back();
            }
        }
        for (int i = 1; i <= N; i++)
            dp[i][0] = dp[i][1];
    }
 
    cout << dp[N][0] << '\n';
 
    int i = N;
    do
    {
        i = last_split[i][K];
        cout << i << ' ';
    } while (--K);
    cout << '\n';
 
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 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 340 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 0 ms 340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 340 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 340 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 340 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 352 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 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 0 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 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 1 ms 456 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 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 468 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 468 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 468 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 468 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 468 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 468 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 468 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 468 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 468 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1108 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 1108 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 1108 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 5 ms 1108 KB contestant found the optimal answer: 679388326 == 679388326
6 Incorrect 3 ms 1108 KB contestant didn't find the optimal answer: 4586049641 < 4699030287
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 4 ms 8504 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 8404 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 42 ms 8488 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 8404 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 35 ms 8404 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Incorrect 23 ms 8528 KB contestant didn't find the optimal answer: 392444388545 < 514790755404
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 41 ms 81876 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Incorrect 40 ms 81932 KB contestant didn't find the optimal answer: 17666315405 < 19874432173
3 Halted 0 ms 0 KB -