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Submission #495160

# Submission time Handle Problem Language Result Execution time Memory
495160 2021-12-18T05:54:08 Z Ierus Chessboard (IZhO18_chessboard) C++17
16 / 100
 30 ms 4688 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[1111][1111], ar[1111][1111];
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 = 1; i <= n; i++) {
        pref[i][1] = pref[i-1][1] + ar[i][1];
    }
    for(int i = 1; i <= n; i++) {
        pref[1][i] = pref[1][i-1] + ar[1][i];
    }
    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] - 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, ok ^= 1){
				int x1 = i, y1 = j, x2 = i + x - 1, y2 = j + x - 1;
				int cur = query(x1, y1, x2, y2);
				if(ok & 1){
					sum1 += cur;
					cnt1 += x * x;
				}else{
					sum2 += cur;
					cnt2 += x * x;
				}
			}
		}
	//	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 2 ms 1868 KB Output is correct
2 Correct 1 ms 716 KB Output is correct
3 Correct 1 ms 716 KB Output is correct
4 Correct 1 ms 716 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 1 ms 716 KB Output is correct
7 Correct 1 ms 716 KB Output is correct
8 Correct 1 ms 716 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 3832 KB Output is correct
2 Correct 6 ms 2492 KB Output is correct
3 Correct 13 ms 3216 KB Output is correct
4 Correct 14 ms 3416 KB Output is correct
5 Correct 17 ms 3656 KB Output is correct
6 Correct 12 ms 2968 KB Output is correct
7 Correct 4 ms 2124 KB Output is correct
8 Correct 15 ms 2972 KB Output is correct
9 Correct 30 ms 4688 KB Output is correct
10 Correct 18 ms 3524 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 972 KB Output is correct
2 Correct 1 ms 716 KB Output is correct
3 Correct 1 ms 972 KB Output is correct
4 Correct 1 ms 972 KB Output is correct
5 Correct 1 ms 972 KB Output is correct
6 Incorrect 1 ms 972 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 972 KB Output is correct
2 Correct 1 ms 716 KB Output is correct
3 Correct 1 ms 972 KB Output is correct
4 Correct 1 ms 972 KB Output is correct
5 Correct 1 ms 972 KB Output is correct
6 Incorrect 1 ms 972 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 3832 KB Output is correct
2 Correct 6 ms 2492 KB Output is correct
3 Correct 13 ms 3216 KB Output is correct
4 Correct 14 ms 3416 KB Output is correct
5 Correct 17 ms 3656 KB Output is correct
6 Correct 12 ms 2968 KB Output is correct
7 Correct 4 ms 2124 KB Output is correct
8 Correct 15 ms 2972 KB Output is correct
9 Correct 30 ms 4688 KB Output is correct
10 Correct 18 ms 3524 KB Output is correct
11 Correct 1 ms 972 KB Output is correct
12 Correct 1 ms 716 KB Output is correct
13 Correct 1 ms 972 KB Output is correct
14 Correct 1 ms 972 KB Output is correct
15 Correct 1 ms 972 KB Output is correct
16 Incorrect 1 ms 972 KB Output isn't correct
17 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1868 KB Output is correct
2 Correct 1 ms 716 KB Output is correct
3 Correct 1 ms 716 KB Output is correct
4 Correct 1 ms 716 KB Output is correct
5 Correct 1 ms 1868 KB Output is correct
6 Correct 1 ms 716 KB Output is correct
7 Correct 1 ms 716 KB Output is correct
8 Correct 1 ms 716 KB Output is correct
9 Correct 23 ms 3832 KB Output is correct
10 Correct 6 ms 2492 KB Output is correct
11 Correct 13 ms 3216 KB Output is correct
12 Correct 14 ms 3416 KB Output is correct
13 Correct 17 ms 3656 KB Output is correct
14 Correct 12 ms 2968 KB Output is correct
15 Correct 4 ms 2124 KB Output is correct
16 Correct 15 ms 2972 KB Output is correct
17 Correct 30 ms 4688 KB Output is correct
18 Correct 18 ms 3524 KB Output is correct
19 Correct 1 ms 972 KB Output is correct
20 Correct 1 ms 716 KB Output is correct
21 Correct 1 ms 972 KB Output is correct
22 Correct 1 ms 972 KB Output is correct
23 Correct 1 ms 972 KB Output is correct
24 Incorrect 1 ms 972 KB Output isn't correct
25 Halted 0 ms 0 KB -