Submission #334373

# Submission time Handle Problem Language Result Execution time Memory
334373 2020-12-09T05:24:36 Z amunduzbaev Chessboard (IZhO18_chessboard) C++14
39 / 100
75 ms 8172 KB
#include <bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define ub upper_bound
#define lb lower_bound
#define ll long long 
#define ld long double 
#define pii pair<int, int>
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(),x.rend()
#define prc(n) fixed << setprecision(n)
#define fastios ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define pi acos(-1);
const int inf = 1e9+7;
const int N = 1e3+5;

int x[N][N], pref[N][N];

ll ans, n, k;

void check(ll size){
	//cout<<size<<"\n";
	ll cnt = 0;
	ll q = size * size;
	for(int i=size;i<=n;i+=size){
		for(int j=size;j<=n;j+=size){
			if(((j/size) + (i/size))%2 == 1) cnt += q - (pref[i][j] - pref[i - size][j] - pref[i][j - size] + pref[i - size][j - size]);
			else cnt += (pref[i][j] - pref[i - size][j] - pref[i][j - size] + pref[i - size][j - size]);
		//	cout<<cnt<<" ";
		}
	}
	ans = min((ll)cnt, ans);
	cnt = 0;
	for(int i=size;i<=n;i+=size){
		for(int j=size;j<=n;j+=size){
			if(((j/size) + (i/size))%2 == 0) cnt += q - (pref[i][j] - pref[i - size][j] - pref[i][j - size] + pref[i - size][j - size]);
			else cnt += (pref[i][j] - pref[i - size][j] - pref[i][j - size] + pref[i - size][j - size]);
		//	cout<<cnt<<" ";
		}//cout<<"\n";
	}
	//cout<<cnt<<"\n";
	ans = min((ll)cnt, ans);
}

void solve(){
	fastios
	ans = inf;
	cin>>n>>k;
	if(k == 0){
		ans = n*n/2;
		for(int i=2;i*1ll*i<=n;i++){
			if(n % i == 0){
				ll num = n/i;
				ans = min(ans, num * num /2 * i * i);
				num = i;
				ans = min(ans, num * num /2 * (n/i) * (n/i));
			}
		}
		cout<<ans<<"\n";
		return;
	}
	for(int i=0;i<k;i++){
		int a, b, c, d;
		cin>>a>>b>>c>>d;
		x[a][b] = 1;
	}
	for(int i=1;i<=n;i++){
		for(int j=1;j<=n;j++){
			pref[i][j] = pref[i-1][j] + pref[i][j-1] + x[i][j] - pref[i-1][j-1]; 
		}
	}
	for(int i=1;i * 1ll * i<=n;i++){
		if(n % i == 0){
			check(i);
			if(i != 1 && n/i != i) check(n/i);
		}
	}
	cout<<ans;
	return;
}
/*

3 3
1 3 1 3
2 3 3 3
1 1 3 1

5 8
2 1 2 1
3 1 3 1
5 2 5 2
1 5 1 5
2 3 2 3
2 4 2 4
3 3 3 3
4 3 4 3

6 8
1 2 1 2
2 1 2 1
3 3 3 3
3 4 3 4
4 3 4 3
4 4 4 4
3 6 3 6
5 5 5 5

*/
int main(){
	fastios
	int t = 1;
	//cin>>t;
	while(t--) solve();
	return 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
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 492 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1004 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 1 ms 876 KB Output is correct
4 Correct 1 ms 1004 KB Output is correct
5 Correct 1 ms 1004 KB Output is correct
6 Correct 1 ms 1004 KB Output is correct
7 Correct 1 ms 1004 KB Output is correct
8 Correct 1 ms 876 KB Output is correct
9 Correct 1 ms 1132 KB Output is correct
10 Correct 1 ms 876 KB Output is correct
11 Correct 1 ms 876 KB Output is correct
12 Correct 1 ms 748 KB Output is correct
13 Correct 1 ms 876 KB Output is correct
14 Correct 1 ms 1004 KB Output is correct
15 Correct 1 ms 748 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1004 KB Output is correct
2 Correct 1 ms 748 KB Output is correct
3 Correct 1 ms 876 KB Output is correct
4 Correct 1 ms 1004 KB Output is correct
5 Correct 1 ms 1004 KB Output is correct
6 Correct 1 ms 1004 KB Output is correct
7 Correct 1 ms 1004 KB Output is correct
8 Correct 1 ms 876 KB Output is correct
9 Correct 1 ms 1132 KB Output is correct
10 Correct 1 ms 876 KB Output is correct
11 Correct 1 ms 876 KB Output is correct
12 Correct 1 ms 748 KB Output is correct
13 Correct 1 ms 876 KB Output is correct
14 Correct 1 ms 1004 KB Output is correct
15 Correct 1 ms 748 KB Output is correct
16 Correct 32 ms 7788 KB Output is correct
17 Correct 64 ms 8172 KB Output is correct
18 Correct 57 ms 8172 KB Output is correct
19 Correct 61 ms 7928 KB Output is correct
20 Correct 75 ms 7916 KB Output is correct
21 Correct 49 ms 8172 KB Output is correct
22 Correct 26 ms 5740 KB Output is correct
23 Correct 38 ms 8044 KB Output is correct
24 Correct 52 ms 8172 KB Output is correct
25 Correct 25 ms 7916 KB Output is correct
26 Correct 39 ms 7916 KB Output is correct
27 Correct 48 ms 7916 KB Output is correct
28 Correct 63 ms 7916 KB Output is correct
29 Correct 33 ms 8044 KB Output is correct
30 Correct 25 ms 7916 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 1 ms 492 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Halted 0 ms 0 KB -
# 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 Runtime error 1 ms 492 KB Execution killed with signal 11 (could be triggered by violating memory limits)
10 Halted 0 ms 0 KB -