Submission #210000

# Submission time Handle Problem Language Result Execution time Memory
210000 2020-03-16T08:33:02 Z my99n Split the sequence (APIO14_sequence) C++14
100 / 100
1041 ms 81016 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;
}
// 7 3 4 1 3 4 0 2 3

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]
     int n, k; scanf("%d %d", &n, &k);
               ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:24:52: 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", &a[i]), s[i] = s[i-1]+a[i];
                                  ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 4 ms 376 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 5 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 376 KB contestant found the optimal answer: 1 == 1
9 Correct 4 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 376 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 376 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 ms 376 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 5 ms 376 KB contestant found the optimal answer: 805 == 805
16 Correct 5 ms 380 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 376 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 376 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 636 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 6 ms 376 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 376 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 4 ms 376 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 504 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 376 KB contestant found the optimal answer: 687136 == 687136
9 Correct 5 ms 376 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 376 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 376 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 1528 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 248 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 1148 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 1400 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 6 ms 1400 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 636 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 504 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 636 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 376 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 376 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 2040 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 376 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 2040 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 ms 1784 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 13 ms 2040 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 13 ms 2168 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 6 ms 760 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 8 ms 1016 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 760 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 760 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 74 ms 9336 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 760 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 63 ms 5880 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 62 ms 6776 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 77 ms 7164 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 55 ms 6008 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 62 ms 6776 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 76 ms 8440 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 32 ms 4216 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 32 ms 4216 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 781 ms 81016 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 31 ms 4216 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1041 ms 81016 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 648 ms 57848 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 780 ms 61880 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 559 ms 50832 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 598 ms 57932 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 752 ms 73628 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845