Submission #1023544

# Submission time Handle Problem Language Result Execution time Memory
1023544 2024-07-15T00:56:19 Z daffuwu Split the sequence (APIO14_sequence) C++14
100 / 100
1119 ms 82000 KB
#include <bits/stdc++.h>
using namespace std;
#define fr first
#define sc second
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
 
int n, k, opt[100002][202], ps[100069];
long long dp[100069][2];
 
void dnc(int l, int r, int c, int optl, int optr)
{
    if (l>r) return;
    int m = (l+r)/2, i;
    long long val;
    dp[m][c%2] = -1e18;
    for (i=optl; i<=min(m-1, optr); i++)
    {
        val = dp[i][(c+1)%2]+1ll*(ps[m]-ps[i])*ps[i];
        if (val>dp[m][c%2])
        {
            dp[m][c%2] = val;
            opt[m][c] = i;
        }
    }
    dnc(l, m-1, c, optl, opt[m][c]);
    dnc(m+1, r, c, opt[m][c], optr);
}
 
int main() 
{
    int i, j, c;
    scanf("%d%d", &n, &k);
    k++;
    for (i=1; i<=n; i++)
    {
        scanf("%d", ps+i);
        ps[i] += ps[i-1];
        dp[i][0] = -1e18;
    }
    for (c=1; c<=k; c++)
    {
        dp[0][c%2] = -1e18;
        dnc(1, n, c, 0, n-1);
    }
    printf("%lld\n", dp[n][k%2]);
    for (i=n, c=k; c>=2; i=opt[i][c], c--)
    {
        printf("%d ", opt[i][c]);
    }
    printf("\n");
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:31:12: warning: unused variable 'j' [-Wunused-variable]
   31 |     int i, j, c;
      |            ^
sequence.cpp:32:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   32 |     scanf("%d%d", &n, &k);
      |     ~~~~~^~~~~~~~~~~~~~~~
sequence.cpp:36:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   36 |         scanf("%d", ps+i);
      |         ~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 108 == 108
2 Correct 0 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 0 ms 2396 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 2396 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 2492 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 0 ms 2396 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 2504 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 2648 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 2396 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 2396 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 2396 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 2396 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 2396 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 2400 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 2392 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 2396 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 2396 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 2396 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 2396 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 2396 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 1 ms 2396 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2396 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 2396 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 2396 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 2652 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 2396 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 2392 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 2396 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4448 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 4444 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 5 ms 4568 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 4444 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 5 ms 4568 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 4440 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 5 ms 4444 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 4448 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 4444 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 4548 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 10844 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 10844 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 47 ms 10848 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 10328 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 55 ms 10304 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 54 ms 10076 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 54 ms 10312 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 33 ms 10332 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 45 ms 10844 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 57 ms 10072 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 50 ms 81240 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 55 ms 81488 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 562 ms 82000 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 42 ms 81748 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1119 ms 81488 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 755 ms 81492 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 649 ms 81916 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 480 ms 81804 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 612 ms 81788 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 740 ms 81780 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845