Submission #379855

# Submission time Handle Problem Language Result Execution time Memory
379855 2021-03-19T14:20:18 Z Kalashnikov Chessboard (IZhO18_chessboard) C++17
100 / 100
801 ms 5996 KB
#include <bits/stdc++.h>
 
#define ios 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 all(a) a.begin() , a.end()
#define F first
#define S second
 
using namespace std;
using ll = long long;
#define y1 dsfsdf
#define int ll
const int N = 2e5+5 , inf = 2e9 + 7;
const ll INF = 1e18 ,   mod = 1e9+7 , P = 6547;

int x1[N] , y1[N] , x2[N] , y2[N];

void solve() {
	ll n, k;
	cin >> n >> k;
	if(k == 0) {
		ll ans = n*n / 2;
		for(int i = 2; i < n; i ++) {
			if(n%i == 0) {
				int x = i;
				if((n/x) % 2) {
					ans = min(ans , (n/x) * (n/x) / 2 * x*x);
				}
			}
		}
		cout << ans;
		return;
	}
	
	ll blacks = 0;
	for(int i = 1; i <= k; i ++) {
		cin >> x1[i] >> y1[i] >> x2[i] >> y2[i];
		blacks += (x2[i]-x1[i]+1) * (y2[i]-y1[i]+1);
		x1[i] --;
		x2[i] --;
		y1[i] --;
		y2[i] --;
	}
	
	
	ll ans = n*n;
	for(int i = 1; i < n; i ++) {
		if(n%i == 0) {
			int RightBlacks = 0;
			for(int j = 1; j <= k; j ++) {
				int cnt[2] , cnt1[2];
				fill(cnt , cnt+2 , 0);
				fill(cnt1 , cnt1+2 , 0);
				{
					int l = x1[j], r = x2[j];
					int l1 = l/i*i+i , r1 = r/i*i-1;
					if(l1 <= r1) {
						assert((r1-l1+1) % i == 0);
						int col = (r1-l1+1) / i;
						cnt[0] = col/2 * i;
						cnt[1] = col/2 * i;
						if(col%2) {
							cnt[l1/i % 2] += i;
						}
						cnt[l/i % 2] += l1-l;
						cnt[r/i % 2] += (r-r1);
					}
					else {
						int l1 = l , r1 = r , res;
						while(l1 <= r1) {
							int md = l1+r1 >> 1;
							if(l/i%2 == md/i%2) {
								res = md;
								l1 = md+1;
							}
							else {
								r1 = md-1;
							}
						}
						cnt[l/i%2] += res-l+1;
						cnt[r/i%2] += r-res;
					}
				}
				
				{
					int l = y1[j], r = y2[j];
					int l1 = l/i*i+i , r1 = r/i*i-1;
					if(l1 <= r1) {
						assert((r1-l1+1) % i == 0);
						int col = (r1-l1+1) / i;
						cnt1[0] = col/2 * i;
						cnt1[1] = col/2 * i;
						if(col%2) {
							cnt1[l1/i % 2] += i;
						}
						cnt1[l/i % 2] += l1-l;
						cnt1[r/i % 2] += (r-r1);
					}
					else {
						int l1 = l , r1 = r , res;
						while(l1 <= r1) {
							int md = l1+r1 >> 1;
							if(l/i%2 == md/i%2) {
								res = md;
								l1 = md+1;
							}
							else {
								r1 = md-1;
							}
						}
						cnt1[l/i%2] += res-l+1;
						cnt1[r/i%2] += r-res;
					}
				}
				RightBlacks += cnt[0] * cnt1[0];
				RightBlacks += cnt[1] * cnt1[1];
			}
			int a = (n/i)*(n/i) / 2 * i*i;
			int b = a;
			if((n/i) % 2) {
				a += i*i;
			}
			ans = min(ans , a-RightBlacks + (blacks - RightBlacks));
			ans = min(ans , b-(blacks - RightBlacks) + RightBlacks);
		}
	}
	cout << ans;
}
/*

*/
main() {
    ios;
    int tt = 1;
    //cin >> tt;
    while(tt --) {
        solve();
    }
    return 0;
}

Compilation message

chessboard.cpp: In function 'void solve()':
chessboard.cpp:71:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   71 |        int md = l1+r1 >> 1;
      |                 ~~^~~
chessboard.cpp:102:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  102 |        int md = l1+r1 >> 1;
      |                 ~~^~~
chessboard.cpp: At global scope:
chessboard.cpp:132:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  132 | main() {
      |      ^
chessboard.cpp: In function 'void solve()':
chessboard.cpp:112:23: warning: 'res' may be used uninitialized in this function [-Wmaybe-uninitialized]
  112 |       cnt1[r/i%2] += r-res;
      |                      ~^~~~
chessboard.cpp:81:22: warning: 'res' may be used uninitialized in this function [-Wmaybe-uninitialized]
   81 |       cnt[r/i%2] += r-res;
      |                     ~^~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 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 Correct 27 ms 2668 KB Output is correct
2 Correct 8 ms 1260 KB Output is correct
3 Correct 18 ms 2028 KB Output is correct
4 Correct 19 ms 2156 KB Output is correct
5 Correct 24 ms 2412 KB Output is correct
6 Correct 16 ms 1900 KB Output is correct
7 Correct 4 ms 768 KB Output is correct
8 Correct 16 ms 1900 KB Output is correct
9 Correct 50 ms 3564 KB Output is correct
10 Correct 30 ms 2284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 396 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 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB Output is correct
2 Correct 1 ms 396 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 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 12 ms 1644 KB Output is correct
17 Correct 31 ms 3436 KB Output is correct
18 Correct 43 ms 3820 KB Output is correct
19 Correct 114 ms 3564 KB Output is correct
20 Correct 126 ms 3820 KB Output is correct
21 Correct 30 ms 3328 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 25 ms 2028 KB Output is correct
24 Correct 39 ms 3564 KB Output is correct
25 Correct 6 ms 748 KB Output is correct
26 Correct 25 ms 2540 KB Output is correct
27 Correct 35 ms 2924 KB Output is correct
28 Correct 42 ms 3692 KB Output is correct
29 Correct 13 ms 1772 KB Output is correct
30 Correct 2 ms 492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 27 ms 2668 KB Output is correct
2 Correct 8 ms 1260 KB Output is correct
3 Correct 18 ms 2028 KB Output is correct
4 Correct 19 ms 2156 KB Output is correct
5 Correct 24 ms 2412 KB Output is correct
6 Correct 16 ms 1900 KB Output is correct
7 Correct 4 ms 768 KB Output is correct
8 Correct 16 ms 1900 KB Output is correct
9 Correct 50 ms 3564 KB Output is correct
10 Correct 30 ms 2284 KB Output is correct
11 Correct 1 ms 492 KB Output is correct
12 Correct 1 ms 396 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 12 ms 1644 KB Output is correct
27 Correct 31 ms 3436 KB Output is correct
28 Correct 43 ms 3820 KB Output is correct
29 Correct 114 ms 3564 KB Output is correct
30 Correct 126 ms 3820 KB Output is correct
31 Correct 30 ms 3328 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 25 ms 2028 KB Output is correct
34 Correct 39 ms 3564 KB Output is correct
35 Correct 6 ms 748 KB Output is correct
36 Correct 25 ms 2540 KB Output is correct
37 Correct 35 ms 2924 KB Output is correct
38 Correct 42 ms 3692 KB Output is correct
39 Correct 13 ms 1772 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 108 ms 3308 KB Output is correct
42 Correct 48 ms 3628 KB Output is correct
43 Correct 68 ms 3308 KB Output is correct
44 Correct 50 ms 3564 KB Output is correct
45 Correct 51 ms 3820 KB Output is correct
46 Correct 122 ms 3820 KB Output is correct
47 Correct 37 ms 3436 KB Output is correct
48 Correct 58 ms 3436 KB Output is correct
49 Correct 43 ms 3436 KB Output is correct
50 Correct 487 ms 3692 KB Output is correct
51 Correct 522 ms 3948 KB Output is correct
52 Correct 487 ms 3564 KB Output is correct
53 Correct 521 ms 3692 KB Output is correct
54 Correct 477 ms 3692 KB Output is correct
55 Correct 539 ms 3820 KB Output is correct
56 Correct 467 ms 3564 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 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 Correct 27 ms 2668 KB Output is correct
10 Correct 8 ms 1260 KB Output is correct
11 Correct 18 ms 2028 KB Output is correct
12 Correct 19 ms 2156 KB Output is correct
13 Correct 24 ms 2412 KB Output is correct
14 Correct 16 ms 1900 KB Output is correct
15 Correct 4 ms 768 KB Output is correct
16 Correct 16 ms 1900 KB Output is correct
17 Correct 50 ms 3564 KB Output is correct
18 Correct 30 ms 2284 KB Output is correct
19 Correct 1 ms 492 KB Output is correct
20 Correct 1 ms 396 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 12 ms 1644 KB Output is correct
35 Correct 31 ms 3436 KB Output is correct
36 Correct 43 ms 3820 KB Output is correct
37 Correct 114 ms 3564 KB Output is correct
38 Correct 126 ms 3820 KB Output is correct
39 Correct 30 ms 3328 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 25 ms 2028 KB Output is correct
42 Correct 39 ms 3564 KB Output is correct
43 Correct 6 ms 748 KB Output is correct
44 Correct 25 ms 2540 KB Output is correct
45 Correct 35 ms 2924 KB Output is correct
46 Correct 42 ms 3692 KB Output is correct
47 Correct 13 ms 1772 KB Output is correct
48 Correct 2 ms 492 KB Output is correct
49 Correct 108 ms 3308 KB Output is correct
50 Correct 48 ms 3628 KB Output is correct
51 Correct 68 ms 3308 KB Output is correct
52 Correct 50 ms 3564 KB Output is correct
53 Correct 51 ms 3820 KB Output is correct
54 Correct 122 ms 3820 KB Output is correct
55 Correct 37 ms 3436 KB Output is correct
56 Correct 58 ms 3436 KB Output is correct
57 Correct 43 ms 3436 KB Output is correct
58 Correct 487 ms 3692 KB Output is correct
59 Correct 522 ms 3948 KB Output is correct
60 Correct 487 ms 3564 KB Output is correct
61 Correct 521 ms 3692 KB Output is correct
62 Correct 477 ms 3692 KB Output is correct
63 Correct 539 ms 3820 KB Output is correct
64 Correct 467 ms 3564 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 761 ms 3820 KB Output is correct
68 Correct 765 ms 5612 KB Output is correct
69 Correct 651 ms 5040 KB Output is correct
70 Correct 692 ms 5356 KB Output is correct
71 Correct 706 ms 5356 KB Output is correct
72 Correct 690 ms 5236 KB Output is correct
73 Correct 717 ms 5240 KB Output is correct
74 Correct 757 ms 5612 KB Output is correct
75 Correct 717 ms 5328 KB Output is correct
76 Correct 778 ms 5616 KB Output is correct
77 Correct 127 ms 5868 KB Output is correct
78 Correct 54 ms 5228 KB Output is correct
79 Correct 93 ms 5016 KB Output is correct
80 Correct 96 ms 5356 KB Output is correct
81 Correct 88 ms 4844 KB Output is correct
82 Correct 76 ms 5612 KB Output is correct
83 Correct 60 ms 5100 KB Output is correct
84 Correct 458 ms 5868 KB Output is correct
85 Correct 796 ms 5868 KB Output is correct
86 Correct 2 ms 364 KB Output is correct
87 Correct 1 ms 364 KB Output is correct
88 Correct 801 ms 5996 KB Output is correct
89 Correct 167 ms 1516 KB Output is correct
90 Correct 1 ms 364 KB Output is correct