Submission #248481

# Submission time Handle Problem Language Result Execution time Memory
248481 2020-07-12T14:25:02 Z WhipppedCream Split the sequence (APIO14_sequence) C++17
100 / 100
1397 ms 123004 KB
#include <bits/stdc++.h>
#define ii pair<int, int>
#define X first
#define Y second
#define pb push_back
#define mp make_pair
#define vi vector<int>
#define vii vector< pair<int, int> >
typedef long long ll;
using namespace std;
int A[100005];
ll B[100005];
ll sum(int a, int b)
{
    return B[b] - B[a-1];
}
ll dp[2][100005];
int opt[205][100005];
void solve(int k, int L, int R, int i, int j)
{
    if(L> R) return;
    int M = (L+R)/2;
    ll best = -1e9;
    int add = 0;
    //printf("dp[%d][%d]:\n", k, M);
    for(int p = max(i, 2); p<= min(j, M); p++)
    {
        ll here = dp[1-k%2][p-1] + sum(1, p-1)*sum(p, M);
        //printf("p = %d %lld %lld = %lld\n", p, dp[k-1][p-1], sum(1, p-1)*sum(p, M), here);
        if(here> best)
        {
            best = here;
            add = p;
        }
    }
    dp[k%2][M] = best;
    opt[k][M] = add;
    //printf("dp[%d][%d] = %lld\n", k, M, best);
    solve(k, L, M-1, i, add);
    solve(k, M+1, R, add, j);
}
int main()
{
    //freopen("50", "r", stdin);
    //freopen("50.out", "w", stdout);
 	stack<int> tmp;
  	for(int i = 0; i< 10000000; i++) tmp.push(1);
    int n, k; scanf("%d %d", &n, &k);
    k++;
    for(int i = 1; i<= n; i++)
    {
        scanf("%d", A+i);
        B[i] = B[i-1] + A[i];
    }
    for(int i = 1; i<= n; i++) dp[1][i] = 0;
    for(int i = 2; i<= k; i++) solve(i, 1, n, 1, n);
    printf("%lld\n", dp[k%2][n]);
    vector<int> cut;
    int remk = k, remn = n;
    while(remk>0 && remn>= 0)
    {
        if(opt[remk][remn]) cut.pb(opt[remk][remn]-1);
        else break;
        remn = opt[remk][remn]-1;
        remk--;
    }
    reverse(cut.begin(), cut.end());
    for(auto x : cut) printf("%d ", x);
    return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:49:20: 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:53:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d", A+i);
         ~~~~~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 54 ms 41336 KB contestant found the optimal answer: 108 == 108
2 Correct 54 ms 41336 KB contestant found the optimal answer: 999 == 999
3 Correct 54 ms 41336 KB contestant found the optimal answer: 0 == 0
4 Correct 54 ms 41340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 53 ms 41340 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 54 ms 41340 KB contestant found the optimal answer: 1 == 1
7 Correct 55 ms 41340 KB contestant found the optimal answer: 1 == 1
8 Correct 57 ms 41496 KB contestant found the optimal answer: 1 == 1
9 Correct 54 ms 41340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 54 ms 41340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 53 ms 41336 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 53 ms 41340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 53 ms 41340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 55 ms 41340 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 54 ms 41340 KB contestant found the optimal answer: 805 == 805
16 Correct 54 ms 41336 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 55 ms 41340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 53 ms 41324 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 56 ms 41340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 53 ms 41608 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 55 ms 41340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 53 ms 41340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 60 ms 41436 KB contestant found the optimal answer: 933702 == 933702
7 Correct 54 ms 41464 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 56 ms 41336 KB contestant found the optimal answer: 687136 == 687136
9 Correct 55 ms 41340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 54 ms 41396 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 53 ms 41340 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 56 ms 41336 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 57 ms 42492 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 53 ms 41396 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 56 ms 42108 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 55 ms 42364 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 55 ms 42404 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 58 ms 41592 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 54 ms 41468 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 55 ms 41596 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 53 ms 41340 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 55 ms 41340 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 60 ms 43028 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 54 ms 41340 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 62 ms 43128 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 62 ms 42876 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 61 ms 43132 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 60 ms 43128 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 55 ms 41720 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 59 ms 42108 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 57 ms 41724 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 55 ms 41724 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 116 ms 50424 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 61 ms 41724 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 135 ms 46932 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 124 ms 47736 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 124 ms 48248 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 101 ms 46972 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 125 ms 47740 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 141 ms 49532 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 83 ms 45436 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 86 ms 45436 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 743 ms 123004 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 81 ms 45692 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1397 ms 122620 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 886 ms 99132 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 751 ms 103292 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 543 ms 92280 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 747 ms 99192 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 930 ms 114932 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845