Submission #389003

# Submission time Handle Problem Language Result Execution time Memory
389003 2021-04-13T12:52:26 Z phathnv Split the sequence (APIO14_sequence) C++11
100 / 100
1489 ms 81740 KB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

const int N = 1e5 + 7;
const int K = 207;
const ll INF = 8e18;

int n, k, a[N], s[N];
ll dp[2][N];
int trace[K][N];

void Calc(int k, int l, int r, int from, int to){
    if (l > r)
        return;
    int mid = (l + r) >> 1;
    for(int i = from; i <= min(mid - 1, to); i++){
        ll cost = (ll) (s[mid] - s[i]) * (s[n] - s[mid]);
        if (dp[1][mid] < dp[0][i] + cost){
            dp[1][mid] = dp[0][i] + cost;
            trace[k][mid] = i;
        }
    }
    Calc(k, l, mid - 1, from, trace[k][mid]);
    Calc(k, mid + 1, r, trace[k][mid], to);
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

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

    for(int i = 0; i < 2; i++)
        for(int j = 0; j <= n; j++)
            dp[i][j] = -INF;
    dp[1][0] = 0;
    for(int i = 1; i <= k + 1; i++){
        for(int j = 0; j <= n; j++){
            dp[0][j] = dp[1][j];
            dp[1][j] = -INF;
        }
        Calc(i, 1, n, 0, n - 1);
    }
    cout << dp[1][n] << '\n';

    int cur = n;
    for(int i = k + 1; i > 1; i--){
        cur = trace[i][cur];
        cout << cur << ' ';
    }

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 548 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 460 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 332 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 332 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1356 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 332 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 1100 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1356 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1356 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 588 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 588 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 332 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 1996 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 332 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 1996 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1836 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 1996 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 7 ms 1996 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 716 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 972 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 716 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 716 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 68 ms 9284 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 716 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 81 ms 5792 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 77 ms 6748 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 70 ms 7108 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 49 ms 5872 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 73 ms 6720 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 90 ms 8388 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 32 ms 4164 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 29 ms 4108 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 733 ms 81740 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 29 ms 4732 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1489 ms 81612 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 927 ms 57988 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 748 ms 62272 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 547 ms 51132 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 755 ms 58180 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 975 ms 73892 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845