Submission #338428

# Submission time Handle Problem Language Result Execution time Memory
338428 2020-12-23T06:04:31 Z boykut Chessboard (IZhO18_chessboard) C++14
47 / 100
44 ms 12908 KB
#include <bits/stdc++.h>

using namespace std;

#define int long long

int isprime(int n) {
   if (n == 2) return false;
   for (int i = 2; i < n; i++) {
      if (n % i == 0) return false;
   }
   return true;
}

signed main() {
   ios::sync_with_stdio(0);
   cin.tie(0);
   int n, k;
   cin >> n >> k;
   vector <int> x1(k), x2(k), y1(k), y2(k);
   for (int i = 0; i < k; i++) {
      cin >> x1[i] >> y1[i] >> x2[i] >> y2[i];
   }
   
   // subtest1
   if (k == 0) {
      int ans = -1;
      for (int i = 1; i < n; i++) {
         if (n % i == 0) {
            int res = ((n * n) / (i * i)) / 2 * (i * i);
            if (ans == -1 || ans > res)
               ans = res;
         }
      }
      cout << ans << '\n';
      return 0;
   }
   
   /// subtest2
   bool ok = true;
   for (int i = 0; i < k; i++) {
      if (x1[i] != x2[i] || y1[i] != y2[i])
         ok = false;
   }
   if (ok && isprime(n)) {      
      int cnt[] = {0, 0};
      for (int i = 0, x, y; i < k; i++) {
         x = x1[i]; y = y1[i];
         cnt[(x + y) % 2]++;
      }
      if (n == 2) {
         cout << min(2 - cnt[0] + cnt[1], 2 - cnt[1] + cnt[0]);
      } else {
         cout << min(n * n / 2 + 1 - cnt[0] + cnt[1], n * n / 2 - cnt[1] + cnt[0]);
      }
      return 0;
   }
   
   // stupid //subtest3, subtes4
   if (n <= 1000) {
      cerr << "3, 4" << '\n';
      vector <vector <int> > sum(1+n,vector <int> (1+n, 0));
      for (int i = 0; i < k; i++) {
         for (int x = x1[i]; x <= x2[i]; x++)
            for (int y = y1[i]; y <= y2[i]; y++)
               sum[x][y] = 1;
      }
      //for (int i = 1; i <= n; i++) {
      //   for (int j = 1; j <= n; j++) {
      //      cout << sum[i][j] << ' ';
      //   }
      //   cout << '\n';
      //}
      //cout << '\n';
      for (int i = 1; i <= n; i++) {
         for (int j = 1; j <= n; j++) {
            sum[i][j] += sum[i][j-1];
            sum[i][j] += sum[i-1][j];
            sum[i][j] -= sum[i-1][j-1];
         }
      }
      //for (int i = 1; i <= n; i++) {
      //   for (int j = 1; j <= n; j++) {
      //      cout << sum[i][j] << ' ';
      //   }
      //   cout << '\n';
      //}
      //cout << '\n';
      vector <int> div;
      for (int i = 1; i < n; i++)
         if (n % i == 0)
            div.push_back(i);
      int ans = 9e18;
      for (auto D: div) {
         int cnt[] = {0, 0};
         int pos = 1;
         for (int i = 1;; i += D) {
            if (i + D - 1 > n) break;
            int par = (pos & 1);
            for (int j = 1;; j += D) {
               if (j + D - 1 > n) break;
               int i2 = i + D - 1, j2 = j + D - 1;
               int A = sum[i2][j2];
               A -= sum[i2][j-1];
               A -= sum[i-1][j2];
               A += sum[i-1][j-1];
               cnt[par] += A;
               par ^= 1;
            }
            pos++;
         }
         //cout << D << ' ' << cnt[1] << ' ' << cnt[0] << '\n';
         int sc = ((n*n)/(D*D))/2*(D*D);
         int fr = ((n*n)/(D*D)+1)/2*(D*D);
         //cout << min({fr-cnt[1]+cnt[0],sc-cnt[0]+cnt[1]}) << '\n';
         ans = min({ans, fr-cnt[1]+cnt[0], sc-cnt[0]+cnt[1]});
      }
      cout << ans << '\n';
   }
   return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 2284 KB Output is correct
2 Correct 7 ms 876 KB Output is correct
3 Correct 16 ms 1516 KB Output is correct
4 Correct 16 ms 1772 KB Output is correct
5 Correct 26 ms 2028 KB Output is correct
6 Correct 15 ms 1388 KB Output is correct
7 Correct 3 ms 620 KB Output is correct
8 Correct 14 ms 1388 KB Output is correct
9 Correct 34 ms 3180 KB Output is correct
10 Correct 19 ms 1900 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 492 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 1 ms 492 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 512 KB Output is correct
8 Correct 1 ms 492 KB Output is correct
9 Correct 1 ms 492 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 19 ms 8812 KB Output is correct
17 Correct 29 ms 4332 KB Output is correct
18 Correct 43 ms 12908 KB Output is correct
19 Correct 41 ms 11776 KB Output is correct
20 Correct 44 ms 12336 KB Output is correct
21 Correct 26 ms 4204 KB Output is correct
22 Correct 12 ms 8172 KB Output is correct
23 Correct 26 ms 9836 KB Output is correct
24 Correct 40 ms 12396 KB Output is correct
25 Correct 13 ms 8192 KB Output is correct
26 Correct 28 ms 10220 KB Output is correct
27 Correct 33 ms 10860 KB Output is correct
28 Correct 44 ms 12140 KB Output is correct
29 Correct 12 ms 1900 KB Output is correct
30 Correct 12 ms 8044 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 23 ms 2284 KB Output is correct
2 Correct 7 ms 876 KB Output is correct
3 Correct 16 ms 1516 KB Output is correct
4 Correct 16 ms 1772 KB Output is correct
5 Correct 26 ms 2028 KB Output is correct
6 Correct 15 ms 1388 KB Output is correct
7 Correct 3 ms 620 KB Output is correct
8 Correct 14 ms 1388 KB Output is correct
9 Correct 34 ms 3180 KB Output is correct
10 Correct 19 ms 1900 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 492 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 492 KB Output is correct
19 Correct 1 ms 492 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 492 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 19 ms 8812 KB Output is correct
27 Correct 29 ms 4332 KB Output is correct
28 Correct 43 ms 12908 KB Output is correct
29 Correct 41 ms 11776 KB Output is correct
30 Correct 44 ms 12336 KB Output is correct
31 Correct 26 ms 4204 KB Output is correct
32 Correct 12 ms 8172 KB Output is correct
33 Correct 26 ms 9836 KB Output is correct
34 Correct 40 ms 12396 KB Output is correct
35 Correct 13 ms 8192 KB Output is correct
36 Correct 28 ms 10220 KB Output is correct
37 Correct 33 ms 10860 KB Output is correct
38 Correct 44 ms 12140 KB Output is correct
39 Correct 12 ms 1900 KB Output is correct
40 Correct 12 ms 8044 KB Output is correct
41 Incorrect 31 ms 4972 KB Output isn't correct
42 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 23 ms 2284 KB Output is correct
10 Correct 7 ms 876 KB Output is correct
11 Correct 16 ms 1516 KB Output is correct
12 Correct 16 ms 1772 KB Output is correct
13 Correct 26 ms 2028 KB Output is correct
14 Correct 15 ms 1388 KB Output is correct
15 Correct 3 ms 620 KB Output is correct
16 Correct 14 ms 1388 KB Output is correct
17 Correct 34 ms 3180 KB Output is correct
18 Correct 19 ms 1900 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 492 KB Output is correct
23 Correct 1 ms 492 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 512 KB Output is correct
26 Correct 1 ms 492 KB Output is correct
27 Correct 1 ms 492 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 492 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 19 ms 8812 KB Output is correct
35 Correct 29 ms 4332 KB Output is correct
36 Correct 43 ms 12908 KB Output is correct
37 Correct 41 ms 11776 KB Output is correct
38 Correct 44 ms 12336 KB Output is correct
39 Correct 26 ms 4204 KB Output is correct
40 Correct 12 ms 8172 KB Output is correct
41 Correct 26 ms 9836 KB Output is correct
42 Correct 40 ms 12396 KB Output is correct
43 Correct 13 ms 8192 KB Output is correct
44 Correct 28 ms 10220 KB Output is correct
45 Correct 33 ms 10860 KB Output is correct
46 Correct 44 ms 12140 KB Output is correct
47 Correct 12 ms 1900 KB Output is correct
48 Correct 12 ms 8044 KB Output is correct
49 Incorrect 31 ms 4972 KB Output isn't correct
50 Halted 0 ms 0 KB -