oj.uz

Submission #167821

# Submission time Handle Problem Language Result Execution time Memory
167821 2019-12-10T09:33:20 Z abil Chessboard (IZhO18_chessboard) C++14
70 / 100
 1370 ms 5880 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 - 1) / div, blx2 = (x2 + div - 1) / div;
	int bly = (y1 + div - 1) / div, bly2 = (y2 + div - 1) / div;
	int res = 0ll, odd, even;
	if(blx == blx2){
		int val = x2 - x1 + 1;
		if(bly != bly2){
			int end = (bly + 1) * div - 1;
			val = val * (end - y1 + 1);
			bly++;
			if(bly2 > bly){
				int dif = bly2 - bly + 1;
				val += dif / 2 * (x2 - x1 + 1);
			}
			int p = (x2 - x1 + 1) * (y2 - y1 + 1);
			p = p - val;
			if(((bly - 1) + blx) % 2 == f){
				res += val;
			}
			else{
				res += p;
			}			
		}
		else{
			int p = (x2 - x1 + 1) * (y2 - y1 + 1);
			if((bly + blx) % 2 == f){
				res += p;
			}
		}
	}
	else{
		int end = (blx + 1) * div - 1;
		int odd = end - x1 + 1;
		blx++;
		if(blx2 > blx){
			int dif = blx2 - blx + 1;
			odd += dif / 2 * div;
		}
		if(bly != bly2){
			end = (bly + 1) * div - 1;
			int val = end - y1 + 1;
			val = val * odd;
			bly++;
			if(bly2 > bly){
				int dif = bly2 - bly + 1;
				val += dif / 2 * odd;
			}
			int p = (x2 - x1 + 1) * (y2 - y1 + 1);
			p = p - val;
			if((bly + blx) % 2 == f){
				res += val;
			}
			else{
				res += p;
			}
		}
		else{
			int p = (y2 - y1 + 1) * odd;
			if(((blx - 1) + bly) % 2 == f){
				res += p;
			}
		}
	}
	return res;
}


void calc(int div){
	int bl = n / div, cnt = 0, x1, y1, cnt1 = 0, x2, y2;
	if(bl & 1){
		cnt += div * div * ((bl + 1) / 2) * ((bl + 1) / 2);
		cnt += div * div * (bl / 2) * (bl / 2);
		cnt1 = n * n - cnt;
		for(int i = 1;i <= k; i++){
			x1 = x[0][i];
			y1 = y[0][i];
			x2 = x[1][i];
			y2 = y[1][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 / 2) * bl;
		cnt1 = n * n - cnt;
		for(int i = 1;i <= k; i++){
			x1 = x[0][i];
			y1 = y[0][i];
			x2 = x[1][i];
			y2 = y[1][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 = 1;i <= k; i++){
		scanf("%lld%lld%lld%lld", &x[0][i], &y[0][i], &x[1][i], &y[1][i]);
	}
	if(n % 2 == 1){
		int x1, y1, x2, y2;
		int cnt = n * n / 2ll + 1ll, cnt1 = n * n / 2ll;
		for(int i = 1;i <= k; i++){
			x1 = x[0][i];
			y1 = y[0][i];
			x2 = x[1][i];
			y2 = y[1][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[0][i];
			y1 = y[0][i];
			x2 = x[1][i];
			y2 = y[1][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 = 2;i * i <= n; i++){
		if(n % i == 0){
			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[0][i], &y[0][i], &x[1][i], &y[1][i]);
   ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 256 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 380 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 3216 KB Output is correct
2 Correct 11 ms 1144 KB Output is correct
3 Correct 25 ms 2552 KB Output is correct
4 Correct 27 ms 2296 KB Output is correct
5 Correct 33 ms 2552 KB Output is correct
6 Correct 22 ms 2164 KB Output is correct
7 Correct 7 ms 804 KB Output is correct
8 Correct 22 ms 2300 KB Output is correct
9 Correct 54 ms 5240 KB Output is correct
10 Correct 31 ms 2936 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 380 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 3 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 3 ms 376 KB Output is correct
8 Correct 3 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 2 ms 380 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 380 KB Output is correct
2 Correct 2 ms 380 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 3 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 3 ms 376 KB Output is correct
8 Correct 3 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 2 ms 380 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 22 ms 1676 KB Output is correct
17 Correct 45 ms 4316 KB Output is correct
18 Correct 72 ms 4728 KB Output is correct
19 Correct 285 ms 4316 KB Output is correct
20 Correct 318 ms 3960 KB Output is correct
21 Correct 43 ms 4216 KB Output is correct
22 Correct 3 ms 376 KB Output is correct
23 Correct 50 ms 2424 KB Output is correct
24 Correct 66 ms 4344 KB Output is correct
25 Correct 12 ms 760 KB Output is correct
26 Correct 42 ms 3064 KB Output is correct
27 Correct 66 ms 2936 KB Output is correct
28 Correct 70 ms 4908 KB Output is correct
29 Correct 20 ms 1912 KB Output is correct
30 Correct 4 ms 504 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 3216 KB Output is correct
2 Correct 11 ms 1144 KB Output is correct
3 Correct 25 ms 2552 KB Output is correct
4 Correct 27 ms 2296 KB Output is correct
5 Correct 33 ms 2552 KB Output is correct
6 Correct 22 ms 2164 KB Output is correct
7 Correct 7 ms 804 KB Output is correct
8 Correct 22 ms 2300 KB Output is correct
9 Correct 54 ms 5240 KB Output is correct
10 Correct 31 ms 2936 KB Output is correct
11 Correct 2 ms 380 KB Output is correct
12 Correct 2 ms 380 KB Output is correct
13 Correct 2 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 2 ms 376 KB Output is correct
17 Correct 3 ms 376 KB Output is correct
18 Correct 3 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 2 ms 380 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 22 ms 1676 KB Output is correct
27 Correct 45 ms 4316 KB Output is correct
28 Correct 72 ms 4728 KB Output is correct
29 Correct 285 ms 4316 KB Output is correct
30 Correct 318 ms 3960 KB Output is correct
31 Correct 43 ms 4216 KB Output is correct
32 Correct 3 ms 376 KB Output is correct
33 Correct 50 ms 2424 KB Output is correct
34 Correct 66 ms 4344 KB Output is correct
35 Correct 12 ms 760 KB Output is correct
36 Correct 42 ms 3064 KB Output is correct
37 Correct 66 ms 2936 KB Output is correct
38 Correct 70 ms 4908 KB Output is correct
39 Correct 20 ms 1912 KB Output is correct
40 Correct 4 ms 504 KB Output is correct
41 Correct 242 ms 4952 KB Output is correct
42 Correct 77 ms 5496 KB Output is correct
43 Correct 137 ms 4856 KB Output is correct
44 Correct 75 ms 5368 KB Output is correct
45 Correct 60 ms 5752 KB Output is correct
46 Correct 272 ms 5496 KB Output is correct
47 Correct 54 ms 5068 KB Output is correct
48 Correct 107 ms 4060 KB Output is correct
49 Correct 66 ms 4964 KB Output is correct
50 Correct 1239 ms 5332 KB Output is correct
51 Correct 1325 ms 5752 KB Output is correct
52 Correct 1232 ms 5368 KB Output is correct
53 Correct 1314 ms 5684 KB Output is correct
54 Correct 1215 ms 5272 KB Output is correct
55 Correct 1370 ms 5880 KB Output is correct
56 Correct 1177 ms 5112 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 256 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 380 KB Output is correct
9 Correct 38 ms 3216 KB Output is correct
10 Correct 11 ms 1144 KB Output is correct
11 Correct 25 ms 2552 KB Output is correct
12 Correct 27 ms 2296 KB Output is correct
13 Correct 33 ms 2552 KB Output is correct
14 Correct 22 ms 2164 KB Output is correct
15 Correct 7 ms 804 KB Output is correct
16 Correct 22 ms 2300 KB Output is correct
17 Correct 54 ms 5240 KB Output is correct
18 Correct 31 ms 2936 KB Output is correct
19 Correct 2 ms 380 KB Output is correct
20 Correct 2 ms 380 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 2 ms 376 KB Output is correct
25 Correct 3 ms 376 KB Output is correct
26 Correct 3 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 2 ms 380 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 22 ms 1676 KB Output is correct
35 Correct 45 ms 4316 KB Output is correct
36 Correct 72 ms 4728 KB Output is correct
37 Correct 285 ms 4316 KB Output is correct
38 Correct 318 ms 3960 KB Output is correct
39 Correct 43 ms 4216 KB Output is correct
40 Correct 3 ms 376 KB Output is correct
41 Correct 50 ms 2424 KB Output is correct
42 Correct 66 ms 4344 KB Output is correct
43 Correct 12 ms 760 KB Output is correct
44 Correct 42 ms 3064 KB Output is correct
45 Correct 66 ms 2936 KB Output is correct
46 Correct 70 ms 4908 KB Output is correct
47 Correct 20 ms 1912 KB Output is correct
48 Correct 4 ms 504 KB Output is correct
49 Correct 242 ms 4952 KB Output is correct
50 Correct 77 ms 5496 KB Output is correct
51 Correct 137 ms 4856 KB Output is correct
52 Correct 75 ms 5368 KB Output is correct
53 Correct 60 ms 5752 KB Output is correct
54 Correct 272 ms 5496 KB Output is correct
55 Correct 54 ms 5068 KB Output is correct
56 Correct 107 ms 4060 KB Output is correct
57 Correct 66 ms 4964 KB Output is correct
58 Correct 1239 ms 5332 KB Output is correct
59 Correct 1325 ms 5752 KB Output is correct
60 Correct 1232 ms 5368 KB Output is correct
61 Correct 1314 ms 5684 KB Output is correct
62 Correct 1215 ms 5272 KB Output is correct
63 Correct 1370 ms 5880 KB Output is correct
64 Correct 1177 ms 5112 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 -