Submission #906361

# Submission time Handle Problem Language Result Execution time Memory
906361 2024-01-14T06:35:02 Z Trisanu_Das Split the sequence (APIO14_sequence) C++17
100 / 100
679 ms 81644 KB
#include<bits/stdc++.h>
using namespace std;
 
int a[100100];
long long s[100100], dp[2][100100];
int mxk[200][100100];
 
void solve (int i, int l, int r, int kmin, int kmax, int I) {
    if (r < l) return;
    int mid = (l+r)/2, m = -1;
    for (int k = kmin; k <= min(kmax, mid-1); k++) {
        long long nw = dp[i^1][k] + (s[mid]-s[k])*(s[k]-s[0]);
        if (nw >= dp[i][mid]) {
            dp[i][mid] = nw;
            m = k;
        }
    }
    mxk[I][mid] = m;
    solve(i, l, mid-1, kmin, m, I); solve(i, mid+1, r, m, kmax, I);
}
 
int main(){
    int n, k; scanf("%d %d", &n, &k);
    for (int i = 1; i <= n; i++) scanf("%d", &a[i]), s[i] = s[i-1]+a[i];
    for (int i = 1; i <= k; i++) solve(i%2, 1, n, 1, n-1, i);
    printf("%lld\n", dp[k%2][n]);
    for (int i = k, x = n; i > 0; i--) printf("%d ", x = mxk[i][x]);
    return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:23:20: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   23 |     int n, k; scanf("%d %d", &n, &k);
      |               ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:24:39: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   24 |     for (int i = 1; i <= n; i++) scanf("%d", &a[i]), s[i] = s[i-1]+a[i];
      |                                  ~~~~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 2396 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 2396 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 2396 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 4540 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 2396 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 2396 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 2396 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 2396 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 2396 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 2396 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 2396 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 2396 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 2396 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2504 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 2396 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 4 ms 20924 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 2396 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 4444 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 4444 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 10588 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 6492 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 4444 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 6492 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 2396 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 13 ms 78268 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2396 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 9 ms 55644 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 12 ms 72284 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 13 ms 78428 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 4 ms 18900 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 12636 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 4 ms 22876 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 2396 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 16 ms 78452 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 2396 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 17 ms 78404 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 14 ms 68188 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 17 ms 78400 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 16 ms 78348 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 16732 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 33116 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 2648 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 2 ms 2640 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 52 ms 78680 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 2652 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 45 ms 47700 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 44 ms 55892 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 55 ms 60244 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 42 ms 49980 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 43 ms 56300 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 53 ms 72560 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 18 ms 5208 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 18 ms 5384 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 442 ms 81644 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 16 ms 5724 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 679 ms 81496 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 423 ms 58964 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 513 ms 63128 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 360 ms 52724 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 351 ms 58832 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 446 ms 75332 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845