oj.uz

Submission #495208

# Submission time Handle Problem Language Result Execution time Memory
495208 2021-12-18T06:36:09 Z Ziel Chessboard (IZhO18_chessboard) C++17
47 / 100
 96 ms 12672 KB 
/**
 * LES GREATEABLES BRO TEAM
**/

#include <bits/stdc++.h>

using namespace std;

using ll = long long;
#define sz(x) (int)x.size()
const bool FLAG = false;
void setIO(const string &f = "");

string to_string(const string s) {
	return '"' + s + '"';
}
string to_string(const char c) {
 	return char(39) + string(1, c) + char(39);
}
string to_string(const char* s) {
 	return to_string(string(s));
}
string to_string(bool f) {
	return (f ? "true" : "false");
}
template<class A, class B>
string to_string(const pair<A, B> x) {
	return "(" + to_string(x.first) + ", " + to_string(x.second) + ")";
}
template<class A, class B, class C>
string to_string(const tuple<A, B, C> x) {
	return "(" + to_string(get<0>(x)) + ", " + to_string(get<1>(x)) + ", " + to_string(get<2>(x)) + ")";
}
template<class A, class B, class C, class D>
string to_string(const tuple<A, B, C, D> x) {
	return "(" + to_string(get<0>(x)) + ", " + to_string(get<1>(x)) + ", " + to_string(get<2>(x)) + ", " + to_string(get<3>(x)) + ")";
}
template<class T>
string to_string(const T v) {
	string res = "{"; bool f = true;
	for (auto x: v)
		res += (f ? to_string(x) : ", " + to_string(x)), f = false;
	return res + "}";
}
void debug_args() { cerr << "]\n"; }
template<class H, class... T>
void debug_args(H x, T... y) {
	cerr << to_string(x);
	if (sizeof... (y))
	cerr << ", ";
	debug_args(y...);
}

#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]: [", debug_args(__VA_ARGS__);
#else
#define debug(...) 47
#endif

#define int ll

bool is_prime(int x) {
	if (x <= 1)
		return false;
	for (int i = 2; i * i <= x; i++)
		if (x % i == 0)
			return false;
	return true;
}

void solve() {
    int n, k;
    cin >> n >> k;
    vector<int> up(k + 1), left(k + 1), down(k + 1), right(k + 1);
    bool flag = 1;
    vector<vector<int>> a(1020, vector<int>(1020));
    vector<int> pref_ver(n + 1);
    vector<int> pref_hor(n + 1);
    for (int i = 1; i <= k; i++) {
    	cin >> up[i] >> left[i] >> down[i] >> right[i];
    	if (up[i] != down[i] || left[i] != right[i])
    		flag = 0;
    	if (n <= 1000) {
    		for (int ii = up[i]; ii <= down[i]; ii++)
    			for (int jj = left[i]; jj <= right[i]; jj++)
    				a[ii][jj] = 1;
    	}
    	pref_ver[down[i]]++;
		pref_hor[right[i]]++;
    }

    if (n <= 1000) {
    	int ans = n * n * 3;
    	for (int len = 1; len * len <= n; len++) {
    		if (n % len == 0) {
    			int turn = 0, cur = 0, st_turn = 0;
    			for (int i = 1; i <= n; i += len) {
    				turn = st_turn;
 					st_turn ^= 1;
    				for (int j = 1; j <= n; j += len) {
    					for (int ii = i; ii < i + len; ii++) {
    						for (int jj = j; jj < j + len; jj++) {
    							if (a[ii][jj] != turn)
    								cur++;
    						}
    					}
    					turn ^= 1;
    				}
    			}
    			ans = min(ans, cur);

    			cur = 0, st_turn = 1;
    			for (int i = 1; i <= n; i += len) {
    				turn = st_turn;
 					st_turn ^= 1;
    				for (int j = 1; j <= n; j += len) {
    					for (int ii = i; ii < i + len; ii++) {
    						for (int jj = j; jj < j + len; jj++) {
    							if (a[ii][jj] != turn)
    								cur++;
    						}
    					}
    					turn ^= 1;
    				}
    			}
    			ans = min(ans, cur);


				if (len != 1) {
	    			int len2 = n / len;
    				st_turn = 0, cur = 0;
    				for (int i = 1; i <= n; i += len2) {
    					turn = st_turn;
 						st_turn ^= 1;
    					for (int j = 1; j <= n; j += len2) {
    						for (int ii = i; ii < i + len2; ii++) {
    							for (int jj = j; jj < j + len2; jj++) {
    								if (a[ii][jj] != turn)
    									cur++;
	    						}
    						}
    						turn ^= 1;
    					}
    				}
	    			ans = min(ans, cur);

    				cur = 0, st_turn = 1;
    				for (int i = 1; i <= n; i += len2) {
    					turn = st_turn;
 						st_turn ^= 1;
    					for (int j = 1; j <= n; j += len2) {
    						for (int ii = i; ii < i + len2; ii++) {
    							for (int jj = j; jj < j + len2; jj++) {
    								if (a[ii][jj] != turn)
    									cur++;
	    						}
    						}
    						turn ^= 1;
    					}
    				}
	    			ans = min(ans, cur);
				}
    		}
    	}
    	cout << ans;
    }

    else if (is_prime(n)) {
    	assert(flag);
    	vector<ll> v(2);
    	for (int i = 1; i <= k; i++) {
    		v[(up[i] + left[i]) % 2]++;
    	}
    	cout << min(v[0] + ((n * n) / 2 - v[1]), v[1] + ((n * n + 1) / 2 - v[0]));
    }

    else {
    	vector<ll> vv(2);
    	for (int i = 1; i <= k; i++) {
    		vv[(up[i] + left[i]) % 2]++;
    	}
    	ll ans = min(vv[0] + ((n * n) / 2 - vv[1]), vv[1] + ((n * n + 1) / 2 - vv[0]));
    	for (int len = 2; len * len <= n; len++) {
    		if (n % len == 0) {
    			vector<ll> v(2);
	    		for (int i = 1; i <= k; i++) {
	    			int x = (up[i] + len - 1) / len;
	    			int y = (left[i] + len - 1) / len;
	    			v[(x + y) % 2]++;
	    		}
	    		ll cur = min(v[0] + (len * len * (n / len) * (n / len) / 2 - v[1]), v[1] + ((len * len * (n / len) * (n / len) + 1) / 2 - v[0]));
	    		ans = min(ans, cur);
    		}
    	}
    	cout << ans;
    }
}

signed main() {
    setIO();
    
    int tt = 1;
    if (FLAG) {
    	cin >> tt;
    }
    while (tt--) {
    	solve();
    }
    
    return 0;
}

void setIO(const string &f) {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    if (fopen((f + ".in").c_str(), "r")) {
        freopen((f + ".in").c_str(), "r", stdin);
        freopen((f + ".out").c_str(), "w", stdout);
    }
}

Compilation message

chessboard.cpp: In function 'void setIO(const string&)':
chessboard.cpp:217:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  217 |         freopen((f + ".in").c_str(), "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
chessboard.cpp:218:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  218 |         freopen((f + ".out").c_str(), "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8396 KB Output is correct
2 Correct 4 ms 8396 KB Output is correct
3 Correct 6 ms 8396 KB Output is correct
4 Correct 4 ms 8396 KB Output is correct
5 Correct 4 ms 8396 KB Output is correct
6 Correct 4 ms 8396 KB Output is correct
7 Correct 5 ms 8396 KB Output is correct
8 Correct 5 ms 8396 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 11340 KB Output is correct
2 Correct 10 ms 9164 KB Output is correct
3 Correct 17 ms 10956 KB Output is correct
4 Correct 16 ms 9932 KB Output is correct
5 Correct 21 ms 11084 KB Output is correct
6 Correct 15 ms 10316 KB Output is correct
7 Correct 10 ms 9108 KB Output is correct
8 Correct 16 ms 10316 KB Output is correct
9 Correct 37 ms 11832 KB Output is correct
10 Correct 22 ms 10572 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8476 KB Output is correct
2 Correct 4 ms 8396 KB Output is correct
3 Correct 4 ms 8396 KB Output is correct
4 Correct 4 ms 8524 KB Output is correct
5 Correct 4 ms 8524 KB Output is correct
6 Correct 4 ms 8412 KB Output is correct
7 Correct 4 ms 8524 KB Output is correct
8 Correct 4 ms 8484 KB Output is correct
9 Correct 4 ms 8396 KB Output is correct
10 Correct 4 ms 8396 KB Output is correct
11 Correct 4 ms 8524 KB Output is correct
12 Correct 4 ms 8396 KB Output is correct
13 Correct 4 ms 8524 KB Output is correct
14 Correct 4 ms 8524 KB Output is correct
15 Correct 4 ms 8524 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 8476 KB Output is correct
2 Correct 4 ms 8396 KB Output is correct
3 Correct 4 ms 8396 KB Output is correct
4 Correct 4 ms 8524 KB Output is correct
5 Correct 4 ms 8524 KB Output is correct
6 Correct 4 ms 8412 KB Output is correct
7 Correct 4 ms 8524 KB Output is correct
8 Correct 4 ms 8484 KB Output is correct
9 Correct 4 ms 8396 KB Output is correct
10 Correct 4 ms 8396 KB Output is correct
11 Correct 4 ms 8524 KB Output is correct
12 Correct 4 ms 8396 KB Output is correct
13 Correct 4 ms 8524 KB Output is correct
14 Correct 4 ms 8524 KB Output is correct
15 Correct 4 ms 8524 KB Output is correct
16 Correct 19 ms 9396 KB Output is correct
17 Correct 36 ms 11152 KB Output is correct
18 Correct 50 ms 11612 KB Output is correct
19 Correct 96 ms 11212 KB Output is correct
20 Correct 86 ms 11596 KB Output is correct
21 Correct 32 ms 10956 KB Output is correct
22 Correct 34 ms 8468 KB Output is correct
23 Correct 33 ms 9924 KB Output is correct
24 Correct 38 ms 11340 KB Output is correct
25 Correct 25 ms 8780 KB Output is correct
26 Correct 39 ms 10188 KB Output is correct
27 Correct 49 ms 10572 KB Output is correct
28 Correct 41 ms 11512 KB Output is correct
29 Correct 18 ms 9548 KB Output is correct
30 Correct 11 ms 8524 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 11340 KB Output is correct
2 Correct 10 ms 9164 KB Output is correct
3 Correct 17 ms 10956 KB Output is correct
4 Correct 16 ms 9932 KB Output is correct
5 Correct 21 ms 11084 KB Output is correct
6 Correct 15 ms 10316 KB Output is correct
7 Correct 10 ms 9108 KB Output is correct
8 Correct 16 ms 10316 KB Output is correct
9 Correct 37 ms 11832 KB Output is correct
10 Correct 22 ms 10572 KB Output is correct
11 Correct 5 ms 8476 KB Output is correct
12 Correct 4 ms 8396 KB Output is correct
13 Correct 4 ms 8396 KB Output is correct
14 Correct 4 ms 8524 KB Output is correct
15 Correct 4 ms 8524 KB Output is correct
16 Correct 4 ms 8412 KB Output is correct
17 Correct 4 ms 8524 KB Output is correct
18 Correct 4 ms 8484 KB Output is correct
19 Correct 4 ms 8396 KB Output is correct
20 Correct 4 ms 8396 KB Output is correct
21 Correct 4 ms 8524 KB Output is correct
22 Correct 4 ms 8396 KB Output is correct
23 Correct 4 ms 8524 KB Output is correct
24 Correct 4 ms 8524 KB Output is correct
25 Correct 4 ms 8524 KB Output is correct
26 Correct 19 ms 9396 KB Output is correct
27 Correct 36 ms 11152 KB Output is correct
28 Correct 50 ms 11612 KB Output is correct
29 Correct 96 ms 11212 KB Output is correct
30 Correct 86 ms 11596 KB Output is correct
31 Correct 32 ms 10956 KB Output is correct
32 Correct 34 ms 8468 KB Output is correct
33 Correct 33 ms 9924 KB Output is correct
34 Correct 38 ms 11340 KB Output is correct
35 Correct 25 ms 8780 KB Output is correct
36 Correct 39 ms 10188 KB Output is correct
37 Correct 49 ms 10572 KB Output is correct
38 Correct 41 ms 11512 KB Output is correct
39 Correct 18 ms 9548 KB Output is correct
40 Correct 11 ms 8524 KB Output is correct
41 Incorrect 51 ms 12672 KB Output isn't correct
42 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8396 KB Output is correct
2 Correct 4 ms 8396 KB Output is correct
3 Correct 6 ms 8396 KB Output is correct
4 Correct 4 ms 8396 KB Output is correct
5 Correct 4 ms 8396 KB Output is correct
6 Correct 4 ms 8396 KB Output is correct
7 Correct 5 ms 8396 KB Output is correct
8 Correct 5 ms 8396 KB Output is correct
9 Correct 37 ms 11340 KB Output is correct
10 Correct 10 ms 9164 KB Output is correct
11 Correct 17 ms 10956 KB Output is correct
12 Correct 16 ms 9932 KB Output is correct
13 Correct 21 ms 11084 KB Output is correct
14 Correct 15 ms 10316 KB Output is correct
15 Correct 10 ms 9108 KB Output is correct
16 Correct 16 ms 10316 KB Output is correct
17 Correct 37 ms 11832 KB Output is correct
18 Correct 22 ms 10572 KB Output is correct
19 Correct 5 ms 8476 KB Output is correct
20 Correct 4 ms 8396 KB Output is correct
21 Correct 4 ms 8396 KB Output is correct
22 Correct 4 ms 8524 KB Output is correct
23 Correct 4 ms 8524 KB Output is correct
24 Correct 4 ms 8412 KB Output is correct
25 Correct 4 ms 8524 KB Output is correct
26 Correct 4 ms 8484 KB Output is correct
27 Correct 4 ms 8396 KB Output is correct
28 Correct 4 ms 8396 KB Output is correct
29 Correct 4 ms 8524 KB Output is correct
30 Correct 4 ms 8396 KB Output is correct
31 Correct 4 ms 8524 KB Output is correct
32 Correct 4 ms 8524 KB Output is correct
33 Correct 4 ms 8524 KB Output is correct
34 Correct 19 ms 9396 KB Output is correct
35 Correct 36 ms 11152 KB Output is correct
36 Correct 50 ms 11612 KB Output is correct
37 Correct 96 ms 11212 KB Output is correct
38 Correct 86 ms 11596 KB Output is correct
39 Correct 32 ms 10956 KB Output is correct
40 Correct 34 ms 8468 KB Output is correct
41 Correct 33 ms 9924 KB Output is correct
42 Correct 38 ms 11340 KB Output is correct
43 Correct 25 ms 8780 KB Output is correct
44 Correct 39 ms 10188 KB Output is correct
45 Correct 49 ms 10572 KB Output is correct
46 Correct 41 ms 11512 KB Output is correct
47 Correct 18 ms 9548 KB Output is correct
48 Correct 11 ms 8524 KB Output is correct
49 Incorrect 51 ms 12672 KB Output isn't correct
50 Halted 0 ms 0 KB -