Submission #112906

# Submission time Handle Problem Language Result Execution time Memory
112906 2019-05-22T15:07:33 Z Akashi Split the sequence (APIO14_sequence) C++14
100 / 100
1388 ms 80888 KB
#include <bits/stdc++.h>
using namespace std;

int n, K;
int S[100005];
int which[205][100005];
long long DP[2][100005];
long long *Last, *Now;

void divide(int k, int L, int R, int whL, int whR){
    int mid = (L + R) >> 1;

    for(int j = whL; j <= whR && j <= mid ; ++j){
        long long aux = Last[j - 1] + 1LL * (S[mid] - S[j - 1]) * (S[n] - S[mid]);
        if(aux > Now[mid]) Now[mid] = aux, which[k][mid] = j;
    }
    if(L < R){
        divide(k, L, mid - 1, whL, which[k][mid]);
        divide(k, mid + 1, R, which[k][mid], whR);
    }
}

void solve(int n, int k){
    if(k == 1) return ;
    solve(which[k][n] - 1, k - 1);
    printf("%d ", which[k][n] - 1);
}

int main()
{
//    freopen("sequence.in", "r", stdin);
//    freopen("sequence.out", "w", stdout);

    scanf("%d%d", &n, &K);
    for(int i = 1; i <= n ; ++i) scanf("%d", &S[i]), S[i] += S[i - 1];

    for(int i = 1; i <= n ; ++i) DP[1][i] = 1LL * S[i] * (S[n] - S[i]);

    for(int k = 2; k <= K + 1 ; ++k){
        Last = DP[!(k & 1)], Now = DP[k & 1];

        for(int i = 1; i <= n ; ++i) Now[i] = -1, which[k][i] = -1;

        divide(k, k, n, k, n);
    }

    printf("%lld\n", DP[!(K & 1)][n]);

    solve(n, K + 1);

    return 0;
}
/*
7 3
4 1 3 4 0 2 3
*/

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:34:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d", &n, &K);
     ~~~~~^~~~~~~~~~~~~~~~
sequence.cpp:35:52: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for(int i = 1; i <= n ; ++i) scanf("%d", &S[i]), S[i] += S[i - 1];
                                  ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 3 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 384 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 2 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 1 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 2 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 512 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 356 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 384 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 384 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 512 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 384 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 384 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 384 KB contestant found the optimal answer: 29000419931 == 29000419931
# 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 3 ms 1408 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 1024 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1408 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 1408 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 512 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 512 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 640 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 384 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 2048 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 384 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 2048 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1792 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 2048 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 7 ms 2048 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 640 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 1024 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 640 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 640 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 65 ms 9312 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 640 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 76 ms 5840 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 73 ms 6668 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 67 ms 7160 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 45 ms 5880 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 66 ms 6648 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 82 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 28 ms 3448 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 27 ms 3504 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 682 ms 80724 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 22 ms 4088 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1388 ms 80888 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 844 ms 57292 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 720 ms 61560 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 512 ms 50496 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 701 ms 57340 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 899 ms 73080 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845