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Submission #1116277

# Submission time Handle Problem Language Result Execution time Memory
1116277 2024-11-21T12:13:26 Z SalihSahin Cigle (COI21_cigle) C++14
100 / 100
 918 ms 143752 KB 
#include <bits/stdc++.h>
#define pb push_back
using namespace std;
 
const int N = 5e3 + 5;
 
vector<int> a(N);

struct SEGT{
   vector<int> tree, lazy;

   void init(int n){
      tree.assign(4*n, 0);
      lazy.assign(4*n, 0);
   }

   void push(int ind){
      if(lazy[ind] == 0) return;

      lazy[ind*2] += lazy[ind];
      tree[ind*2] += lazy[ind];
      lazy[ind*2+1] += lazy[ind];
      tree[ind*2+1] += lazy[ind];
      lazy[ind] = 0;
   }

   void build(int ind, int l, int r, vector<int> &a){
      if(l == r){
         tree[ind] = a[l];
      }
      else{
         int m = (l + r)/2;

         build(ind*2, l, m, a);
         build(ind*2+1, m+1, r, a);
         tree[ind] = max(tree[ind*2], tree[ind*2+1]);
      }
   }

   void update(int ind, int l, int r, int ql, int qr, int val){
      if(l > r || r < ql || l > qr || ql > qr) return;
      if(l >= ql && r <= qr){
         tree[ind] += val;
         lazy[ind] += val;
      }
      else{
         push(ind);
         int m = (l + r)/2;

         update(ind*2, l, m, ql, qr, val);
         update(ind*2+1, m+1, r, ql, qr, val);
         tree[ind] = max(tree[ind*2], tree[ind*2+1]);
      }
   }

   int query(int ind, int l, int r, int ql, int qr){
      if(l > r || r < ql || l > qr || ql > qr) return 0;
      if(l >= ql && r <= qr){
         return tree[ind];
      }
      else{
         push(ind);
         int m = (l + r)/2;

         return max(query(ind*2, l, m, ql, qr), query(ind*2+1, m+1, r, ql, qr));
      }
   }
};
 
 
int main(){
   ios_base::sync_with_stdio(false);
   cin.tie(0); cout.tie(0);
   int n;
   cin>>n;
   for(int i = 1; i <= n; i++){
      cin>>a[i];
   }

   vector<pair<int, int> > upd[n+5];

   for(int i = 2; i <= n-1; i++){
      vector<int> v1, v2;
 
      int val = 0;
      for(int j = i; j > 1; j--){
         val += a[j];
         v1.pb(val); // i, i-1, i-2, ...
      }
 
      val = 0;
      for(int j = i+1; j <= n-1; j++){
         val += a[j];
         v2.pb(val); // i+1, i+2, ...
      }
 
      int ind2 = 0;
      for(int j = 0; j < v1.size(); j++){
         while(ind2 < v2.size() && v2[ind2] < v1[j]) ind2++;
         if(ind2 < v2.size() && v2[ind2] == v1[j]){
            upd[i].pb({ind2 + i + 1, i - j});
         }
      }

      sort(upd[i].begin(), upd[i].end());
   }
 
   vector<vector<int> > dp(n+5, vector<int>(n+5));
   vector<int> arr(n+1);

   for(int r = 1; r <= n-1; r++){
      sort(upd[r].begin(), upd[r].end());
      int updind = 0;

      SEGT seg;
      seg.init(r);
      for(int i = 1; i <= r; i++) arr[i] = dp[i][r];
      seg.build(1, 1, r, arr);

      for(int x = r+1; x <= n; x++){
         while(updind < upd[r].size() && upd[r][updind].first < x){
            seg.update(1, 1, r, 1, upd[r][updind].second-1, 1);
            updind++;
         }

         dp[r+1][x] = seg.tree[1];
      }
   }

   int ans = 0;
   for(int i = 1; i <= n; i++){
      ans = max(ans, dp[i][n]);
   }
   cout<<ans<<endl;
   return 0;
}

Compilation message

cigle.cpp: In function 'int main()':
cigle.cpp:98:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   98 |       for(int j = 0; j < v1.size(); j++){
      |                      ~~^~~~~~~~~~~
cigle.cpp:99:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |          while(ind2 < v2.size() && v2[ind2] < v1[j]) ind2++;
      |                ~~~~~^~~~~~~~~~~
cigle.cpp:100:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  100 |          if(ind2 < v2.size() && v2[ind2] == v1[j]){
      |             ~~~~~^~~~~~~~~~~
cigle.cpp:121:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  121 |          while(updind < upd[r].size() && upd[r][updind].first < x){
      |                ~~~~~~~^~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 592 KB Output is correct
14 Correct 1 ms 592 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 1872 KB Output is correct
2 Correct 7 ms 2128 KB Output is correct
3 Correct 7 ms 1872 KB Output is correct
4 Correct 9 ms 2028 KB Output is correct
5 Correct 7 ms 1872 KB Output is correct
6 Correct 8 ms 1872 KB Output is correct
7 Correct 8 ms 1872 KB Output is correct
8 Correct 8 ms 2052 KB Output is correct
9 Correct 7 ms 1872 KB Output is correct
10 Correct 7 ms 1872 KB Output is correct
11 Correct 8 ms 1872 KB Output is correct
12 Correct 7 ms 1872 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 592 KB Output is correct
14 Correct 1 ms 592 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 6 ms 1872 KB Output is correct
22 Correct 7 ms 2128 KB Output is correct
23 Correct 7 ms 1872 KB Output is correct
24 Correct 9 ms 2028 KB Output is correct
25 Correct 7 ms 1872 KB Output is correct
26 Correct 8 ms 1872 KB Output is correct
27 Correct 8 ms 1872 KB Output is correct
28 Correct 8 ms 2052 KB Output is correct
29 Correct 7 ms 1872 KB Output is correct
30 Correct 7 ms 1872 KB Output is correct
31 Correct 8 ms 1872 KB Output is correct
32 Correct 7 ms 1872 KB Output is correct
33 Correct 6 ms 1872 KB Output is correct
34 Correct 11 ms 1780 KB Output is correct
35 Correct 8 ms 1872 KB Output is correct
36 Correct 8 ms 1872 KB Output is correct
37 Correct 8 ms 1872 KB Output is correct
38 Correct 11 ms 1872 KB Output is correct
39 Correct 6 ms 1616 KB Output is correct
40 Correct 4 ms 1360 KB Output is correct
41 Correct 4 ms 1360 KB Output is correct
42 Correct 4 ms 1360 KB Output is correct
43 Correct 4 ms 1372 KB Output is correct
44 Correct 4 ms 1360 KB Output is correct
45 Correct 4 ms 1360 KB Output is correct
46 Correct 4 ms 1360 KB Output is correct
47 Correct 4 ms 1360 KB Output is correct
48 Correct 4 ms 1360 KB Output is correct
49 Correct 4 ms 1360 KB Output is correct

Subtask #5
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 592 KB Output is correct
14 Correct 1 ms 592 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 6 ms 1872 KB Output is correct
22 Correct 7 ms 2128 KB Output is correct
23 Correct 7 ms 1872 KB Output is correct
24 Correct 9 ms 2028 KB Output is correct
25 Correct 7 ms 1872 KB Output is correct
26 Correct 8 ms 1872 KB Output is correct
27 Correct 8 ms 1872 KB Output is correct
28 Correct 8 ms 2052 KB Output is correct
29 Correct 7 ms 1872 KB Output is correct
30 Correct 7 ms 1872 KB Output is correct
31 Correct 8 ms 1872 KB Output is correct
32 Correct 7 ms 1872 KB Output is correct
33 Correct 6 ms 1872 KB Output is correct
34 Correct 11 ms 1780 KB Output is correct
35 Correct 8 ms 1872 KB Output is correct
36 Correct 8 ms 1872 KB Output is correct
37 Correct 8 ms 1872 KB Output is correct
38 Correct 11 ms 1872 KB Output is correct
39 Correct 6 ms 1616 KB Output is correct
40 Correct 4 ms 1360 KB Output is correct
41 Correct 4 ms 1360 KB Output is correct
42 Correct 4 ms 1360 KB Output is correct
43 Correct 4 ms 1372 KB Output is correct
44 Correct 4 ms 1360 KB Output is correct
45 Correct 4 ms 1360 KB Output is correct
46 Correct 4 ms 1360 KB Output is correct
47 Correct 4 ms 1360 KB Output is correct
48 Correct 4 ms 1360 KB Output is correct
49 Correct 4 ms 1360 KB Output is correct
50 Correct 847 ms 140548 KB Output is correct
51 Correct 833 ms 140696 KB Output is correct
52 Correct 828 ms 141080 KB Output is correct
53 Correct 830 ms 141012 KB Output is correct
54 Correct 814 ms 141220 KB Output is correct
55 Correct 861 ms 141060 KB Output is correct
56 Correct 874 ms 143752 KB Output is correct
57 Correct 918 ms 143676 KB Output is correct
58 Correct 530 ms 111888 KB Output is correct
59 Correct 387 ms 102236 KB Output is correct
60 Correct 357 ms 99472 KB Output is correct
61 Correct 345 ms 99456 KB Output is correct
62 Correct 347 ms 99600 KB Output is correct
63 Correct 331 ms 100008 KB Output is correct
64 Correct 326 ms 99808 KB Output is correct
65 Correct 316 ms 99788 KB Output is correct
66 Correct 316 ms 99724 KB Output is correct
67 Correct 330 ms 99768 KB Output is correct
68 Correct 305 ms 99880 KB Output is correct
69 Correct 319 ms 100016 KB Output is correct
70 Correct 327 ms 99768 KB Output is correct
71 Correct 335 ms 99512 KB Output is correct
72 Correct 368 ms 99800 KB Output is correct