Submission #84149

# Submission time Handle Problem Language Result Execution time Memory
84149 2018-11-13T18:31:35 Z Alexa2001 Split the sequence (APIO14_sequence) C++17
100 / 100
1543 ms 83920 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
const int Kmax = 205, Nmax = 1e5 + 5;

ll dp[2][Nmax];
int opt[Kmax][Nmax], S[Nmax], A[Nmax];
int n, k;

ll cost(int x, int y) { return (ll) (S[y] - S[x-1]) * (S[y] - S[x-1]); }

void divide(int K, int st, int dr, int L, int R)
{
    int mid = (st + dr) / 2, i;
    dp[K&1][mid] = 1e18;

    for(i=L; i<=R && i<mid; ++i)
    {
        ll C = dp[(K&1)^1][i] + cost(i+1, mid);
        if(C < dp[K&1][mid]) dp[K&1][mid] = C, opt[K][mid] = i;
    }

    if(st <= mid-1) divide(K, st, mid-1, L, opt[K][mid]);
    if(mid+1 <= dr) divide(K, mid+1, dr, opt[K][mid], R);
}

int main()
{
  //  freopen("input", "r", stdin);
    cin.sync_with_stdio(false);

    int i;
    cin >> n >> k;
    for(i=1; i<=n; ++i)
    {
        cin >> A[i];
        S[i] = S[i-1] + A[i];
    }

    for(i=1; i<=n; ++i) dp[0][i] = 1e18;

    for(i=1; i<=k+1; ++i)
    {
        divide(i, i, n, 0, n-1);
        int j;
        for(j=0; j<i; ++j) dp[i&1][j] = 1e18;
    }

    cout << (cost(1, n) - dp[(k+1)&1][n]) / 2 << '\n';

    vector<int> positions;
    for(i=k+1; i>=2; --i)
    {
        positions.push_back(opt[i][n]);
        n = opt[i][n];
    }

    for(i=k-1; i>=0; --i) cout << positions[i] << ' ';
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 3 ms 540 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 652 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 652 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 768 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 768 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 768 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 832 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 832 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 832 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 832 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 3 ms 832 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 832 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 832 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 832 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 832 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 832 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 832 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 1060 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 1060 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 1060 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 1060 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 1060 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 3 ms 1060 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 1060 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 1060 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1060 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 1060 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 1864 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 1864 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 4 ms 1864 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 1864 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 1880 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 1880 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 1880 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 3 ms 1880 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1880 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 1880 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 2540 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2540 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 2572 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 13 ms 2572 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 11 ms 2580 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 2604 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 12 ms 2604 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 2604 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 8 ms 2604 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 2604 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 69 ms 9932 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 9932 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 85 ms 9932 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 83 ms 9932 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 75 ms 9932 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 52 ms 9932 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 76 ms 9932 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 97 ms 9932 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 36 ms 9932 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 36 ms 9932 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 720 ms 83032 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 29 ms 83032 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1543 ms 83920 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 932 ms 83920 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 771 ms 83920 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 569 ms 83920 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 788 ms 83920 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1049 ms 83920 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845