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Submission #338442

# Submission time Handle Problem Language Result Execution time Memory
338442 2020-12-23T06:21:29 Z boykut Chessboard (IZhO18_chessboard) C++14
70 / 100
 268 ms 3436 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 <= 0) {
      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';
   } else if (n <= 100000) {
      cerr << "5" << '\n';
      vector <int> div;
      for (int i = 1; i < n; i++)
         if (n % i == 0)
            div.push_back(i);
      int ans = n * n;
      for (auto D: div) {
         int cnt[] = {0, 0};
         for (int i = 0; i < k; i++) {
            int x = (x1[i] + D - 1) / D, y = (y1[i] + D - 1) / D;
            if (x % 2 == y % 2) {
               cnt[1] ++;
            } else {
               cnt[0] ++;
            }
         }
         //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;
}

Subtask #1
8.0 / 8.0

# 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 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct

Subtask #2
8.0 / 8.0

# 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 19 ms 1516 KB Output is correct
4 Correct 16 ms 1772 KB Output is correct
5 Correct 21 ms 2028 KB Output is correct
6 Correct 13 ms 1388 KB Output is correct
7 Correct 3 ms 620 KB Output is correct
8 Correct 15 ms 1516 KB Output is correct
9 Correct 35 ms 3308 KB Output is correct
10 Correct 20 ms 1900 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 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 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 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 384 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 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 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 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 384 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 11 ms 1132 KB Output is correct
17 Correct 27 ms 2924 KB Output is correct
18 Correct 36 ms 3436 KB Output is correct
19 Correct 68 ms 3052 KB Output is correct
20 Correct 75 ms 3436 KB Output is correct
21 Correct 26 ms 2924 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 19 ms 1644 KB Output is correct
24 Correct 34 ms 3180 KB Output is correct
25 Correct 4 ms 620 KB Output is correct
26 Correct 21 ms 2156 KB Output is correct
27 Correct 27 ms 2412 KB Output is correct
28 Correct 34 ms 3308 KB Output is correct
29 Correct 11 ms 1388 KB Output is correct
30 Correct 2 ms 492 KB Output is correct

Subtask #5
23.0 / 23.0

# 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 19 ms 1516 KB Output is correct
4 Correct 16 ms 1772 KB Output is correct
5 Correct 21 ms 2028 KB Output is correct
6 Correct 13 ms 1388 KB Output is correct
7 Correct 3 ms 620 KB Output is correct
8 Correct 15 ms 1516 KB Output is correct
9 Correct 35 ms 3308 KB Output is correct
10 Correct 20 ms 1900 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 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 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 384 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 11 ms 1132 KB Output is correct
27 Correct 27 ms 2924 KB Output is correct
28 Correct 36 ms 3436 KB Output is correct
29 Correct 68 ms 3052 KB Output is correct
30 Correct 75 ms 3436 KB Output is correct
31 Correct 26 ms 2924 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 19 ms 1644 KB Output is correct
34 Correct 34 ms 3180 KB Output is correct
35 Correct 4 ms 620 KB Output is correct
36 Correct 21 ms 2156 KB Output is correct
37 Correct 27 ms 2412 KB Output is correct
38 Correct 34 ms 3308 KB Output is correct
39 Correct 11 ms 1388 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 72 ms 3052 KB Output is correct
42 Correct 41 ms 3308 KB Output is correct
43 Correct 48 ms 2924 KB Output is correct
44 Correct 39 ms 3180 KB Output is correct
45 Correct 39 ms 3436 KB Output is correct
46 Correct 73 ms 3328 KB Output is correct
47 Correct 31 ms 3052 KB Output is correct
48 Correct 46 ms 3052 KB Output is correct
49 Correct 36 ms 2924 KB Output is correct
50 Correct 241 ms 3308 KB Output is correct
51 Correct 259 ms 3308 KB Output is correct
52 Correct 241 ms 3180 KB Output is correct
53 Correct 255 ms 3436 KB Output is correct
54 Correct 236 ms 3308 KB Output is correct
55 Correct 268 ms 3436 KB Output is correct
56 Correct 239 ms 3052 KB Output is correct

Subtask #6
0 / 30.0

# 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 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 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 19 ms 1516 KB Output is correct
12 Correct 16 ms 1772 KB Output is correct
13 Correct 21 ms 2028 KB Output is correct
14 Correct 13 ms 1388 KB Output is correct
15 Correct 3 ms 620 KB Output is correct
16 Correct 15 ms 1516 KB Output is correct
17 Correct 35 ms 3308 KB Output is correct
18 Correct 20 ms 1900 KB Output is correct
19 Correct 1 ms 364 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 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 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 384 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 11 ms 1132 KB Output is correct
35 Correct 27 ms 2924 KB Output is correct
36 Correct 36 ms 3436 KB Output is correct
37 Correct 68 ms 3052 KB Output is correct
38 Correct 75 ms 3436 KB Output is correct
39 Correct 26 ms 2924 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 19 ms 1644 KB Output is correct
42 Correct 34 ms 3180 KB Output is correct
43 Correct 4 ms 620 KB Output is correct
44 Correct 21 ms 2156 KB Output is correct
45 Correct 27 ms 2412 KB Output is correct
46 Correct 34 ms 3308 KB Output is correct
47 Correct 11 ms 1388 KB Output is correct
48 Correct 2 ms 492 KB Output is correct
49 Correct 72 ms 3052 KB Output is correct
50 Correct 41 ms 3308 KB Output is correct
51 Correct 48 ms 2924 KB Output is correct
52 Correct 39 ms 3180 KB Output is correct
53 Correct 39 ms 3436 KB Output is correct
54 Correct 73 ms 3328 KB Output is correct
55 Correct 31 ms 3052 KB Output is correct
56 Correct 46 ms 3052 KB Output is correct
57 Correct 36 ms 2924 KB Output is correct
58 Correct 241 ms 3308 KB Output is correct
59 Correct 259 ms 3308 KB Output is correct
60 Correct 241 ms 3180 KB Output is correct
61 Correct 255 ms 3436 KB Output is correct
62 Correct 236 ms 3308 KB Output is correct
63 Correct 268 ms 3436 KB Output is correct
64 Correct 239 ms 3052 KB Output is correct
65 Correct 0 ms 364 KB Output is correct
66 Incorrect 1 ms 364 KB Output isn't correct
67 Halted 0 ms 0 KB -