#include <iostream>
#include <bits/stdc++.h>
#include <cmath>
#include <algorithm>
#include <vector>
#include <deque>
#include <set>
#include <stack>
#include <string>
#include <map>
#include <queue>
#define int long long
using namespace std;
const long long oo = 1000000000000000000;
long long sum, ans = 0, mx = 0, mn = 1000000000, num, pos;
/*
ViHHiPuh
(( `'-""``""-'` ))
)-__-_.._-__-(
/ --- (o _ o) --- \
\ .-* ( .0. ) *-. /
_'-. ,_ '=' _, .-'_
/ `;#'#'# - #'#'#;` \
\_)) -----'#'----- ((_/
# --------- #
'# ------- ------ #'
/..-'# ------- #'-.\
_\...-\'# -- #'/-.../_
((____)- '#' -(____))
cout << fixed << setprecision(6) << x;
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
freopen ( "sum.in", "r", stdin )
*/
int n, m;
int x[ 100001 ], y[ 100001 ], xx[ 100001 ], yy[ 100001 ];
int ff( int x, int y, int r ) {
int sum, num, ans, mx;
sum = x / r;
num = ( sum + 1 ) / 2;
num *= r;
if ( sum % 2 == 0 )
num += x % r;
mx = y / r;
ans = ( mx + 1 ) / 2;
ans *= 2;
if ( mx % 2 == 0 )
ans += y % r;
return ans * num + ( ( x - num ) * ( y - ans ) );
}
int f1( int x, int y, int r ) {
int sum, num, ans, mx;
sum = x / r;
num = ( sum + 1 ) / 2;
num *= r;
if ( sum % 2 == 0 )
num += x % r;
mx = y / r;
ans = ( mx ) / 2;
ans *= 2;
if ( mx % 2 )
ans += y % r;
return ans * num + ( ( x - num ) * ( y - ans ) );
}
int f( int x1 ) {
sum = ( n * n ) / ( x1 * x1 );
ans = sum / 2;
num = sum / 2;
if ( sum % 2 )
num ++;
ans = ans * ( x1 * x1 );
num = num * ( x1 * x1 );
sum = 0;
int mx = 0;
for ( int i = 1; i <= m; i ++ ) {
sum = ff( xx[ i ], yy[ i ], x1 ) + ff( x[ i ] - 1, y[ i ] - 1, x1 ) - ff( xx[ i ], y[ i ] - 1, x1 ) - ff( x[ i ] - 1, yy[ i ], x1 );
mx = f1( xx[ i ], yy[ i ], x1 ) + f1( x[ i ] - 1, y[ i ] - 1, x1 ) - f1( xx[ i ], y[ i ] - 1, x1 ) - f1( x[ i ] - 1, yy[ i ], x1 );
// cout << i << " - " << sum << " " << mx << "\n";
ans += sum;
ans -= mx;
num += mx;
num -= sum;
}
// cout << x1 << " " << ans << " " << num << "\n";
return min( ans, num );
}
main () {
cin >> n >> m;
for ( int i = 1; i <= m; i ++ ) {
cin >> x[ i ] >> y[ i ] >> xx[ i ] >> yy[ i ];
}
mn = f( 1 );
int sqr = sqrt( n );
for ( int i = 2; i <= sqr; i ++ ) {
if ( n % i == 0 ) {
mn = min( mn, min( f( i ), f( n / i ) ) );
}
}
cout << mn;
}
/*
6 8
3 3 3 3
1 2 1 2
3 4 3 4
5 5 5 5
4 3 4 3
4 4 4 4
2 1 2 1
3 6 3 6
*/
Compilation message
chessboard.cpp:102:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
102 | main () {
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
73 ms |
2240 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
204 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
204 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
73 ms |
2240 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Incorrect |
73 ms |
2240 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |