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Submission #495185

# Submission time Handle Problem Language Result Execution time Memory
495185 2021-12-18T06:15:36 Z Ierus Chessboard (IZhO18_chessboard) C++17
31 / 100
 2000 ms 25124 KB 
#include<bits/stdc++.h>
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
using namespace std;
#pragma GCC optimize ("unroll-loops,Ofast,O3")
#pragma GCC target("avx,avx2,fma")
#define F first
#define S second
#define sz(x) (int)x.size()
#define pb push_back
#define int long long
#define eb emplace_back
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define NFS ios_base::sync_with_stdio(0) , cin.tie(0) , cout.tie(0) ;
#define file(s) if (fopen(s".in", "r")) freopen(s".in", "r", stdin), freopen(s".out", "w", stdout)
//#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
typedef long long ll;
const int E = 1e6+777;
const long long inf = 1e18+777;
const int N = 1e5+777;
const int MOD = 1e9+7;
vector<int> div(int x){
	vector<int> res = {1};
	for(int i = 2; i * i <= x; ++i){
		if(x % i == 0){
			res.pb(i);
			if(x / i != i)	
				res.pb(x/i);
		}
	}
	sort(all(res));
	return res;
}
struct block{
	int x1, y1, x2, y2;
	void read(){
		cin >> x1 >> y1 >> x2 >> y2;
	}
}a[N];
int n, k;
int get1(){
	int b[N][2]{};
	for(int i = 1; i <= k; ++i){
		++b[a[i].x1][a[i].y1&1];
	}
	int cnt1 = n * n / 2 + (n & 1);
	int cnt2 = n * n - cnt1;
	int sum1 = 0, sum2 = 0;
	for(int i = 1; i <= n; ++i){
		if(i & 1){
			sum1 += b[i][1];
			sum2 += b[i][0];
		}else{
			sum1 += b[i][0];
			sum2 += b[i][1];
		}
	}
	return min(cnt1 - sum1 + sum2, cnt2 - sum2 + sum1);
}
int pref[2111][2111], ar[2111][2111];
void precalc(){
	for(int l = 1; l <= k; ++l){
		ar[a[l].x1][a[l].y1] = 1;
	}
	pref[1][1] = ar[1][1];
    for(int i = 2; i <= n; i++) {
        pref[i][1] = pref[i-1][1] + ar[i][1];
    }
    for(int i = 2; i <= n; i++) {
        pref[1][i] = pref[1][i-1] + ar[1][i];
    }
    for (int i = 2; i <= n; i++) {
        for (int j = 2; j <= n; j++) {
            pref[i][j] = pref[i-1][j] + pref[i][j-1] - pref[i-1][j-1] + ar[i][j];
        }
    }
//    cerr << "array\n";
//    for(int i = 1; i <= n; ++i){
//    	for(int j = 1; j <= n; ++j){
//    		cerr << ar[i][j] << ' ';
//		}cerr << '\n';
//	}cerr << '\n';
//	cerr << "pref\n";
//    for(int i = 1; i <= n; ++i){
//    	for(int j = 1; j <= n; ++j){
//    		cerr << pref[i][j] << ' ';
//		}cerr << '\n';
//	}cerr << '\n';
}
long long query(int x1, int y1, int x2, int y2) {
    return pref[x2][y2] - pref[x1 - 1][y2] - pref[x2][y1 - 1] + pref[x1 - 1][y1 - 1];
}
int get2(vector<int> &d, int res = LLONG_MAX){
	precalc();
	for(auto x : d){
		int sum1 = 0, sum2 = 0, cnt1 = 0, cnt2 = 0;
		bool ok = 1;
		for(int i = 1; i <= n; i += x){
			for(int j = 1; j <= n; j += x){
				int x1 = i, y1 = j, x2 = i + x - 1, y2 = j + x - 1;
				int cur = query(x1, y1, x2, y2);
				cerr << i << ' ' << j << ": " << ok << '\n';
				if(ok & 1){
					sum1 += cur;
					cnt1 += x * x;
				}else{
					sum2 += cur;
					cnt2 += x * x;
				}
				ok ^= 1;
			}
			if((n / x) % 2 == 0) ok ^= 1;
//			cerr <<"2i: " << i << " ok: " << ok << '\n';
		}
//		cerr << "X: " << x << " cnt1: " << cnt1 << " sum1: " << sum1 <<  " cnt2: " << cnt2 << " sum2: " << sum2 << '\n';
	res = min({res, cnt1 - sum1 + sum2, cnt2 - sum2 + sum1});
	}
	return res;
}
signed main(){auto solve=[&](){
	cin >> n >> k;
	for(int i = 1; i <= k; ++i){
		a[i].read();
	}
	vector<int> d = div(n);
//	cerr << "D: ";for(auto it : d){
//		cerr << it << ' ';
//	}cerr << '\n';
	if(sz(d) == 1){
		cout << get1() << '\n';	
	}else{
		cout << get2(d);
	}
};NFS;solve();}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1868 KB Output is correct
2 Correct 117 ms 844 KB Output is correct
3 Correct 97 ms 860 KB Output is correct
4 Correct 102 ms 884 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 107 ms 860 KB Output is correct
7 Correct 67 ms 836 KB Output is correct
8 Correct 91 ms 820 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 3776 KB Output is correct
2 Correct 11 ms 2400 KB Output is correct
3 Correct 13 ms 3112 KB Output is correct
4 Correct 18 ms 3276 KB Output is correct
5 Correct 18 ms 3532 KB Output is correct
6 Correct 13 ms 2992 KB Output is correct
7 Correct 5 ms 2124 KB Output is correct
8 Correct 13 ms 2892 KB Output is correct
9 Correct 27 ms 4688 KB Output is correct
10 Correct 15 ms 3400 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 1096 KB Output is correct
2 Correct 51 ms 796 KB Output is correct
3 Correct 77 ms 1056 KB Output is correct
4 Correct 93 ms 1100 KB Output is correct
5 Correct 46 ms 1092 KB Output is correct
6 Correct 56 ms 1076 KB Output is correct
7 Correct 62 ms 1204 KB Output is correct
8 Correct 34 ms 844 KB Output is correct
9 Correct 79 ms 1344 KB Output is correct
10 Correct 1 ms 1868 KB Output is correct
11 Correct 31 ms 956 KB Output is correct
12 Correct 1 ms 1868 KB Output is correct
13 Correct 45 ms 980 KB Output is correct
14 Correct 81 ms 1088 KB Output is correct
15 Correct 24 ms 844 KB Output is correct

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 1096 KB Output is correct
2 Correct 51 ms 796 KB Output is correct
3 Correct 77 ms 1056 KB Output is correct
4 Correct 93 ms 1100 KB Output is correct
5 Correct 46 ms 1092 KB Output is correct
6 Correct 56 ms 1076 KB Output is correct
7 Correct 62 ms 1204 KB Output is correct
8 Correct 34 ms 844 KB Output is correct
9 Correct 79 ms 1344 KB Output is correct
10 Correct 1 ms 1868 KB Output is correct
11 Correct 31 ms 956 KB Output is correct
12 Correct 1 ms 1868 KB Output is correct
13 Correct 45 ms 980 KB Output is correct
14 Correct 81 ms 1088 KB Output is correct
15 Correct 24 ms 844 KB Output is correct
16 Execution timed out 2062 ms 25124 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 3776 KB Output is correct
2 Correct 11 ms 2400 KB Output is correct
3 Correct 13 ms 3112 KB Output is correct
4 Correct 18 ms 3276 KB Output is correct
5 Correct 18 ms 3532 KB Output is correct
6 Correct 13 ms 2992 KB Output is correct
7 Correct 5 ms 2124 KB Output is correct
8 Correct 13 ms 2892 KB Output is correct
9 Correct 27 ms 4688 KB Output is correct
10 Correct 15 ms 3400 KB Output is correct
11 Correct 66 ms 1096 KB Output is correct
12 Correct 51 ms 796 KB Output is correct
13 Correct 77 ms 1056 KB Output is correct
14 Correct 93 ms 1100 KB Output is correct
15 Correct 46 ms 1092 KB Output is correct
16 Correct 56 ms 1076 KB Output is correct
17 Correct 62 ms 1204 KB Output is correct
18 Correct 34 ms 844 KB Output is correct
19 Correct 79 ms 1344 KB Output is correct
20 Correct 1 ms 1868 KB Output is correct
21 Correct 31 ms 956 KB Output is correct
22 Correct 1 ms 1868 KB Output is correct
23 Correct 45 ms 980 KB Output is correct
24 Correct 81 ms 1088 KB Output is correct
25 Correct 24 ms 844 KB Output is correct
26 Execution timed out 2062 ms 25124 KB Time limit exceeded
27 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1868 KB Output is correct
2 Correct 117 ms 844 KB Output is correct
3 Correct 97 ms 860 KB Output is correct
4 Correct 102 ms 884 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 107 ms 860 KB Output is correct
7 Correct 67 ms 836 KB Output is correct
8 Correct 91 ms 820 KB Output is correct
9 Correct 19 ms 3776 KB Output is correct
10 Correct 11 ms 2400 KB Output is correct
11 Correct 13 ms 3112 KB Output is correct
12 Correct 18 ms 3276 KB Output is correct
13 Correct 18 ms 3532 KB Output is correct
14 Correct 13 ms 2992 KB Output is correct
15 Correct 5 ms 2124 KB Output is correct
16 Correct 13 ms 2892 KB Output is correct
17 Correct 27 ms 4688 KB Output is correct
18 Correct 15 ms 3400 KB Output is correct
19 Correct 66 ms 1096 KB Output is correct
20 Correct 51 ms 796 KB Output is correct
21 Correct 77 ms 1056 KB Output is correct
22 Correct 93 ms 1100 KB Output is correct
23 Correct 46 ms 1092 KB Output is correct
24 Correct 56 ms 1076 KB Output is correct
25 Correct 62 ms 1204 KB Output is correct
26 Correct 34 ms 844 KB Output is correct
27 Correct 79 ms 1344 KB Output is correct
28 Correct 1 ms 1868 KB Output is correct
29 Correct 31 ms 956 KB Output is correct
30 Correct 1 ms 1868 KB Output is correct
31 Correct 45 ms 980 KB Output is correct
32 Correct 81 ms 1088 KB Output is correct
33 Correct 24 ms 844 KB Output is correct
34 Execution timed out 2062 ms 25124 KB Time limit exceeded
35 Halted 0 ms 0 KB -