oj.uz

Submission #167823

# Submission time Handle Problem Language Result Execution time Memory
167823 2019-12-10T09:36:43 Z abil Chessboard (IZhO18_chessboard) C++14
70 / 100
 1372 ms 3448 KB 
#include <bits/stdc++.h>

#define fr first
#define sc second
#define pb push_back
#define mk make_pair
#define all(s) s.begin(),s.end()
#define int long long

using namespace std;

const int N = (1e5 + 12);
const int mod = (1e9 + 7);
const int INF = (0x3f3f3f3f);

int ans = 1e18;
int n, k, x[2][N], y[2][N];

int get(int x1, int y1, int x2, int y2, int div,int f){
	int blx = (x1 + div - 1ll) / div, blx2 = (x2 + div - 1ll) / div;
	int bly = (y1 + div - 1ll) / div, bly2 = (y2 + div - 1ll) / div;
	int res = 0ll, odd, even;
	if(blx == blx2){
		int val = x2 - x1 + 1ll;
		if(bly != bly2){
			int end = (bly + 1ll) * div - 1ll;
			val = val * (end - y1 + 1ll);
			bly++;
			if(bly2 > bly){
				int dif = bly2 - bly + 1ll;
				val += dif / 2ll * (x2 - x1 + 1ll);
			}
			int p = (x2 - x1 + 1ll) * (y2 - y1 + 1ll);
			p = p - val;
			if(((bly - 1ll) + blx) % 2ll == f){
				res += val;
			}
			else{
				res += p;
			}			
		}
		else{
			int p = (x2 - x1 + 1ll) * (y2 - y1 + 1ll);
			if((bly + blx) % 2ll == f){
				res += p;
			}
		}
	}
	else{
		int end = (blx + 1ll) * div - 1ll;
		int odd = end - x1 + 1ll;
		blx++;
		if(blx2 > blx){
			int dif = blx2 - blx + 1ll;
			odd += dif / 2ll * div;
		}
		if(bly != bly2){
			end = (bly + 1ll) * div - 1ll;
			int val = end - y1 + 1ll;
			val = val * odd;
			bly++;
			if(bly2 > bly){
				int dif = bly2 - bly + 1ll;
				val += dif / 2ll * odd;
			}
			int p = (x2 - x1 + 1ll) * (y2 - y1 + 1ll);
			p = p - val;
			if((bly + blx) % 2ll == f){
				res += val;
			}
			else{
				res += p;
			}
		}
		else{
			int p = (y2 - y1 + 1ll) * odd;
			if(((blx - 1ll) + bly) % 2ll == f){
				res += p;
			}
		}
	}
	return res;
}


void calc(int div){
	int bl = n / div, cnt = 0ll, x1, y1, cnt1 = 0ll, x2, y2;
	if(bl & 1ll){
		cnt += div * div * ((bl + 1ll) / 2ll) * ((bl + 1ll) / 2ll);
		cnt += div * div * (bl / 2ll) * (bl / 2);
		cnt1 = n * n - cnt;
		for(int i = 1;i <= k; i++){
			x1 = x[0ll][i];
			y1 = y[0ll][i];
			x2 = x[1ll][i];
			y2 = y[1ll][i];
			cnt -= get(x1, y1, x2, y2, div, 0ll);
			cnt += get(x1, y1, x2, y2, div, 1ll);
			cnt1 += get(x1, y1, x2, y2, div, 0ll);
			cnt1 -= get(x1, y1, x2, y2, div, 1ll);
		}
		ans = min(ans, cnt);
		ans = min(ans, cnt1);
	}
	else{
		cnt += div * div * (bl / 2ll) * bl;
		cnt1 = n * n - cnt;
		for(int i = 1ll;i <= k; i++){
			x1 = x[0ll][i];
			y1 = y[0ll][i];
			x2 = x[1ll][i];
			y2 = y[1ll][i];
			cnt -= get(x1, y1, x2, y2, div, 0ll);
			cnt += get(x1, y1, x2, y2, div, 1ll);
			cnt1 += get(x1, y1, x2, y2, div, 0ll);
			cnt1 -= get(x1, y1, x2, y2, div, 1ll);
		}
		ans = min(ans, cnt);
		ans = min(ans, cnt1);
	}
}
main()
{
	cin >> n >> k;
	for(int i = 1ll;i <= k; i++){
		scanf("%lld%lld%lld%lld", &x[0ll][i], &y[0ll][i], &x[1ll][i], &y[1ll][i]);
	}
	if(n % 2ll == 1ll){
		int x1, y1, x2, y2;
		int cnt = n * n / 2ll + 1ll, cnt1 = n * n / 2ll;
		for(int i = 1;i <= k; i++){
			x1 = x[0ll][i];
			y1 = y[0ll][i];
			x2 = x[1ll][i];
			y2 = y[1ll][i];
			cnt -= get(x1, y1, x2, y2, 1ll, 0ll);
			cnt += get(x1, y1, x2, y2, 1ll, 1ll);
			cnt1 += get(x1, y1, x2, y2, 1ll, 0ll);
			cnt1 -= get(x1, y1, x2, y2, 1ll, 1ll);
		}
		ans = min(ans, cnt);
		ans = min(ans, cnt1);
	}
	else{
		int x1, y1,x2, y2;
		int cnt = n * n / 2ll, cnt1 = n * n / 2ll;
		for(int i = 1;i <= k; i++){
			x1 = x[0ll][i];
			y1 = y[0ll][i];
			x2 = x[1ll][i];
			y2 = y[1ll][i];
			cnt -= get(x1, y1, x2, y2, 1ll, 0ll);
			cnt += get(x1, y1, x2, y2, 1ll, 1ll);
			cnt1 += get(x1, y1, x2, y2, 1ll, 0ll);
			cnt1 -= get(x1, y1, x2, y2, 1ll, 1ll);
		}
		ans = min(ans, cnt);
		ans = min(ans, cnt1);
	}
	for(int i = 2ll;i * i <= n; i++){
		if(n % i == 0ll){
			calc(i);
			calc(n / i);
		}
	}
	cout << ans;
}
/*
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: In function 'long long int get(long long int, long long int, long long int, long long int, long long int, long long int)':
chessboard.cpp:22:17: warning: unused variable 'odd' [-Wunused-variable]
  int res = 0ll, odd, even;
                 ^~~
chessboard.cpp:22:22: warning: unused variable 'even' [-Wunused-variable]
  int res = 0ll, odd, even;
                      ^~~~
chessboard.cpp: At global scope:
chessboard.cpp:122:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
 main()
      ^
chessboard.cpp: In function 'int main()':
chessboard.cpp:126:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%lld%lld%lld%lld", &x[0ll][i], &y[0ll][i], &x[1ll][i], &y[1ll][i]);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 296 KB Output is correct
8 Correct 2 ms 256 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 2320 KB Output is correct
2 Correct 11 ms 888 KB Output is correct
3 Correct 25 ms 1528 KB Output is correct
4 Correct 27 ms 1784 KB Output is correct
5 Correct 33 ms 2040 KB Output is correct
6 Correct 22 ms 1400 KB Output is correct
7 Correct 6 ms 504 KB Output is correct
8 Correct 22 ms 1400 KB Output is correct
9 Correct 56 ms 3284 KB Output is correct
10 Correct 31 ms 1912 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 ms 380 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 3 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 3 ms 376 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 ms 380 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 3 ms 376 KB Output is correct
13 Correct 3 ms 376 KB Output is correct
14 Correct 3 ms 376 KB Output is correct
15 Correct 3 ms 376 KB Output is correct
16 Correct 21 ms 1144 KB Output is correct
17 Correct 44 ms 3036 KB Output is correct
18 Correct 72 ms 3448 KB Output is correct
19 Correct 285 ms 3192 KB Output is correct
20 Correct 317 ms 3448 KB Output is correct
21 Correct 43 ms 2932 KB Output is correct
22 Correct 3 ms 376 KB Output is correct
23 Correct 51 ms 1656 KB Output is correct
24 Correct 66 ms 3192 KB Output is correct
25 Correct 12 ms 632 KB Output is correct
26 Correct 42 ms 2140 KB Output is correct
27 Correct 64 ms 2424 KB Output is correct
28 Correct 70 ms 3364 KB Output is correct
29 Correct 19 ms 1400 KB Output is correct
30 Correct 4 ms 376 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 2320 KB Output is correct
2 Correct 11 ms 888 KB Output is correct
3 Correct 25 ms 1528 KB Output is correct
4 Correct 27 ms 1784 KB Output is correct
5 Correct 33 ms 2040 KB Output is correct
6 Correct 22 ms 1400 KB Output is correct
7 Correct 6 ms 504 KB Output is correct
8 Correct 22 ms 1400 KB Output is correct
9 Correct 56 ms 3284 KB Output is correct
10 Correct 31 ms 1912 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 3 ms 380 KB Output is correct
15 Correct 2 ms 376 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 3 ms 376 KB Output is correct
23 Correct 3 ms 376 KB Output is correct
24 Correct 3 ms 376 KB Output is correct
25 Correct 3 ms 376 KB Output is correct
26 Correct 21 ms 1144 KB Output is correct
27 Correct 44 ms 3036 KB Output is correct
28 Correct 72 ms 3448 KB Output is correct
29 Correct 285 ms 3192 KB Output is correct
30 Correct 317 ms 3448 KB Output is correct
31 Correct 43 ms 2932 KB Output is correct
32 Correct 3 ms 376 KB Output is correct
33 Correct 51 ms 1656 KB Output is correct
34 Correct 66 ms 3192 KB Output is correct
35 Correct 12 ms 632 KB Output is correct
36 Correct 42 ms 2140 KB Output is correct
37 Correct 64 ms 2424 KB Output is correct
38 Correct 70 ms 3364 KB Output is correct
39 Correct 19 ms 1400 KB Output is correct
40 Correct 4 ms 376 KB Output is correct
41 Correct 239 ms 3000 KB Output is correct
42 Correct 76 ms 3192 KB Output is correct
43 Correct 137 ms 2980 KB Output is correct
44 Correct 75 ms 3272 KB Output is correct
45 Correct 59 ms 3448 KB Output is correct
46 Correct 268 ms 3192 KB Output is correct
47 Correct 53 ms 3064 KB Output is correct
48 Correct 107 ms 3192 KB Output is correct
49 Correct 68 ms 2936 KB Output is correct
50 Correct 1238 ms 3320 KB Output is correct
51 Correct 1321 ms 3448 KB Output is correct
52 Correct 1230 ms 3228 KB Output is correct
53 Correct 1317 ms 3376 KB Output is correct
54 Correct 1273 ms 3168 KB Output is correct
55 Correct 1372 ms 3448 KB Output is correct
56 Correct 1176 ms 3072 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 296 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 38 ms 2320 KB Output is correct
10 Correct 11 ms 888 KB Output is correct
11 Correct 25 ms 1528 KB Output is correct
12 Correct 27 ms 1784 KB Output is correct
13 Correct 33 ms 2040 KB Output is correct
14 Correct 22 ms 1400 KB Output is correct
15 Correct 6 ms 504 KB Output is correct
16 Correct 22 ms 1400 KB Output is correct
17 Correct 56 ms 3284 KB Output is correct
18 Correct 31 ms 1912 KB Output is correct
19 Correct 2 ms 376 KB Output is correct
20 Correct 2 ms 376 KB Output is correct
21 Correct 2 ms 376 KB Output is correct
22 Correct 3 ms 380 KB Output is correct
23 Correct 2 ms 376 KB Output is correct
24 Correct 2 ms 376 KB Output is correct
25 Correct 2 ms 376 KB Output is correct
26 Correct 2 ms 376 KB Output is correct
27 Correct 2 ms 376 KB Output is correct
28 Correct 2 ms 376 KB Output is correct
29 Correct 2 ms 376 KB Output is correct
30 Correct 3 ms 376 KB Output is correct
31 Correct 3 ms 376 KB Output is correct
32 Correct 3 ms 376 KB Output is correct
33 Correct 3 ms 376 KB Output is correct
34 Correct 21 ms 1144 KB Output is correct
35 Correct 44 ms 3036 KB Output is correct
36 Correct 72 ms 3448 KB Output is correct
37 Correct 285 ms 3192 KB Output is correct
38 Correct 317 ms 3448 KB Output is correct
39 Correct 43 ms 2932 KB Output is correct
40 Correct 3 ms 376 KB Output is correct
41 Correct 51 ms 1656 KB Output is correct
42 Correct 66 ms 3192 KB Output is correct
43 Correct 12 ms 632 KB Output is correct
44 Correct 42 ms 2140 KB Output is correct
45 Correct 64 ms 2424 KB Output is correct
46 Correct 70 ms 3364 KB Output is correct
47 Correct 19 ms 1400 KB Output is correct
48 Correct 4 ms 376 KB Output is correct
49 Correct 239 ms 3000 KB Output is correct
50 Correct 76 ms 3192 KB Output is correct
51 Correct 137 ms 2980 KB Output is correct
52 Correct 75 ms 3272 KB Output is correct
53 Correct 59 ms 3448 KB Output is correct
54 Correct 268 ms 3192 KB Output is correct
55 Correct 53 ms 3064 KB Output is correct
56 Correct 107 ms 3192 KB Output is correct
57 Correct 68 ms 2936 KB Output is correct
58 Correct 1238 ms 3320 KB Output is correct
59 Correct 1321 ms 3448 KB Output is correct
60 Correct 1230 ms 3228 KB Output is correct
61 Correct 1317 ms 3376 KB Output is correct
62 Correct 1273 ms 3168 KB Output is correct
63 Correct 1372 ms 3448 KB Output is correct
64 Correct 1176 ms 3072 KB Output is correct
65 Correct 2 ms 376 KB Output is correct
66 Incorrect 2 ms 376 KB Output isn't correct
67 Halted 0 ms 0 KB -