Submission #83166

# Submission time Handle Problem Language Result Execution time Memory
83166 2018-11-05T19:14:36 Z MrTEK Split the sequence (APIO14_sequence) C++14
100 / 100
1803 ms 83832 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long int ll;
typedef pair<int,int> ii;

const int N = 1e5 + 5;
const int M = 205;

int a[N],lst,n,k,from[N][M];

ll pre[N],dp[N][2];

ll get(int l,int r) {
  return pre[r] - pre[l - 1];
}

void f(int l,int r,int optl,int optr) {
  if (l > r || optl > optr)
    return;
  int mid = (l + r) / 2;
  int new_opt = mid;
  for (int i = max(mid + 1,optl) ; i <= optr ; i++) {
    if (dp[mid][0] < dp[i][1] + get(mid, i - 1) * get(i,n)) {
      dp[mid][0] = dp[i][1] + get(mid,i - 1) * get(i,n);
      new_opt = i;
    }
  }
  from[mid][lst] = new_opt;
  f(l,mid - 1,optl,new_opt);
  f(mid + 1,r,new_opt,optr);
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL); cout.tie(NULL);
  cin >> n >> k;
  for (int i = 1 ; i <= n ; i++) {
    cin >> a[i];
    pre[i] = pre[i - 1] + a[i];
  }
  for (int i = 1 ; i <= k ; i++) {
    lst = i;
    for (int j = 1 ; j <= n ; j++) {
      dp[j][1] = dp[j][0];
      dp[j][0] = 0;
    }
    f(1,n,1,n);
  }
  cout << dp[1][0] << "\n";
  for (int i = 1 , go = 1; i <= k ; i++) {
    if (from[go][lst] == 1)
      from[go][lst] = 2;
    cout << from[go][lst] - 1 << " ";
    go = from[go][lst--];
  }
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 440 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 440 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 496 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 532 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 532 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 532 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 660 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 660 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 660 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 660 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 660 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 660 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 660 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 660 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 660 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 660 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 660 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 660 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 660 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 660 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 704 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 704 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 704 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 704 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 704 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 704 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 736 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 736 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 736 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 736 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 736 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 740 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 740 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 788 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 788 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 788 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1376 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 1376 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 1376 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 1376 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 1376 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1376 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 1376 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 1376 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 1388 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 1388 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 11 ms 8968 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 11 ms 8968 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 97 ms 8968 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 10 ms 8968 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 85 ms 9084 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 98 ms 9084 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 84 ms 9084 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 68 ms 9084 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 83 ms 9084 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 106 ms 9084 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 111 ms 83748 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 107 ms 83748 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1400 ms 83748 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 107 ms 83748 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1803 ms 83748 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1511 ms 83748 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1077 ms 83748 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 1091 ms 83832 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1094 ms 83832 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1365 ms 83832 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845