Submission #684239

# Submission time Handle Problem Language Result Execution time Memory
684239 2023-01-20T18:11:55 Z mychecksedad Chessboard (IZhO18_chessboard) C++17
100 / 100
1539 ms 6464 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
#define pb push_back
#define all(x) x.begin() x.end()
#define MOD (1e9+7)
const int N = 1e6;

ll n, k, ans = 1e18;
vector<array<ll, 4>> vv;

ll wh(ll x, ll y, ll d){
	x++, y++;
	if(x <= 0 || y <= 0) return 0;
	ll xd = x / d;
	ll yd = y / d;
	ll res = (xd * yd >> 1) * d * d;
	if(x % (2*d) >= d){
		ll y1 = (yd >> 1) * 2 * d;
		res += (yd >> 1) * (x % d) * d;
		res += (x % d) * min(d, y % (2*d));
	}else{
		ll y1 = (yd >> 1) * 2 * d;
		res += (yd >> 1) * (x % d) * d;
	}
	if(y % (2*d) >= d){
		ll x1 = (xd >> 1) * 2*d;
		res += (xd >> 1) * (y % d) * d;
		res += (y % d) * min(d, x % (2*d));
	}else{
		ll x1 = (xd >> 1) * 2*d;
		res += x1 / (2*d) * (y % d) * d;
	}
	return res;
}
void solve(){
	cin >> n >> k;
	int a = 0;
	for(int i = 0; i < k; ++i){
		int x1, x2, y1, y2; cin >> x1 >> y1 >> x2 >> y2;
		vv.pb({x1-1,y1-1,x2-1,y2-1});
	}
	for(ll i = 1; i < n; ++i){
		if(n % i == 0){
			ll c = 0;
			for(auto v: vv){
				ll white = wh(v[2], v[3], i) - wh(v[0] - 1, v[3], i) - wh(v[2], v[1] - 1, i) + wh(v[0] - 1, v[1] - 1, i);					
				ll black = (v[2] + 1) * (v[3] + 1) - (v[0]) * (v[3] + 1) - (v[2] + 1) * (v[1]) + (v[0] * v[1]) - white;					
				ll val = white - black;
				c += val;
			}
			ans = min(ans, c + ((n/i)*(n/i) + 1)/2*i*i);
			ans = min(ans, - c + (n/i)*(n/i)/2*i*i);

		}
	}
	cout << ans;
}

int main(){
	solve();
	return 0;
}

Compilation message

chessboard.cpp: In function 'll wh(ll, ll, ll)':
chessboard.cpp:19:6: warning: unused variable 'y1' [-Wunused-variable]
   19 |   ll y1 = (yd >> 1) * 2 * d;
      |      ^~
chessboard.cpp:23:6: warning: unused variable 'y1' [-Wunused-variable]
   23 |   ll y1 = (yd >> 1) * 2 * d;
      |      ^~
chessboard.cpp:27:6: warning: unused variable 'x1' [-Wunused-variable]
   27 |   ll x1 = (xd >> 1) * 2*d;
      |      ^~
chessboard.cpp: In function 'void solve()':
chessboard.cpp:38:6: warning: unused variable 'a' [-Wunused-variable]
   38 |  int a = 0;
      |      ^
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 72 ms 2444 KB Output is correct
2 Correct 20 ms 1400 KB Output is correct
3 Correct 48 ms 2428 KB Output is correct
4 Correct 48 ms 2392 KB Output is correct
5 Correct 68 ms 2376 KB Output is correct
6 Correct 42 ms 2388 KB Output is correct
7 Correct 9 ms 596 KB Output is correct
8 Correct 42 ms 2456 KB Output is correct
9 Correct 106 ms 4464 KB Output is correct
10 Correct 58 ms 2364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 32 ms 1356 KB Output is correct
17 Correct 83 ms 4432 KB Output is correct
18 Correct 115 ms 4500 KB Output is correct
19 Correct 303 ms 4436 KB Output is correct
20 Correct 343 ms 4504 KB Output is correct
21 Correct 80 ms 4540 KB Output is correct
22 Correct 2 ms 212 KB Output is correct
23 Correct 86 ms 2504 KB Output is correct
24 Correct 100 ms 4472 KB Output is correct
25 Correct 16 ms 848 KB Output is correct
26 Correct 65 ms 2388 KB Output is correct
27 Correct 93 ms 4540 KB Output is correct
28 Correct 109 ms 4496 KB Output is correct
29 Correct 37 ms 2432 KB Output is correct
30 Correct 4 ms 516 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 72 ms 2444 KB Output is correct
2 Correct 20 ms 1400 KB Output is correct
3 Correct 48 ms 2428 KB Output is correct
4 Correct 48 ms 2392 KB Output is correct
5 Correct 68 ms 2376 KB Output is correct
6 Correct 42 ms 2388 KB Output is correct
7 Correct 9 ms 596 KB Output is correct
8 Correct 42 ms 2456 KB Output is correct
9 Correct 106 ms 4464 KB Output is correct
10 Correct 58 ms 2364 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 32 ms 1356 KB Output is correct
27 Correct 83 ms 4432 KB Output is correct
28 Correct 115 ms 4500 KB Output is correct
29 Correct 303 ms 4436 KB Output is correct
30 Correct 343 ms 4504 KB Output is correct
31 Correct 80 ms 4540 KB Output is correct
32 Correct 2 ms 212 KB Output is correct
33 Correct 86 ms 2504 KB Output is correct
34 Correct 100 ms 4472 KB Output is correct
35 Correct 16 ms 848 KB Output is correct
36 Correct 65 ms 2388 KB Output is correct
37 Correct 93 ms 4540 KB Output is correct
38 Correct 109 ms 4496 KB Output is correct
39 Correct 37 ms 2432 KB Output is correct
40 Correct 4 ms 516 KB Output is correct
41 Correct 292 ms 4520 KB Output is correct
42 Correct 132 ms 4408 KB Output is correct
43 Correct 221 ms 4408 KB Output is correct
44 Correct 127 ms 4424 KB Output is correct
45 Correct 117 ms 4444 KB Output is correct
46 Correct 335 ms 4408 KB Output is correct
47 Correct 124 ms 4408 KB Output is correct
48 Correct 157 ms 4420 KB Output is correct
49 Correct 122 ms 4508 KB Output is correct
50 Correct 1361 ms 4440 KB Output is correct
51 Correct 1402 ms 5520 KB Output is correct
52 Correct 1337 ms 5560 KB Output is correct
53 Correct 1397 ms 5488 KB Output is correct
54 Correct 1293 ms 5608 KB Output is correct
55 Correct 1458 ms 5432 KB Output is correct
56 Correct 1259 ms 5636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 72 ms 2444 KB Output is correct
10 Correct 20 ms 1400 KB Output is correct
11 Correct 48 ms 2428 KB Output is correct
12 Correct 48 ms 2392 KB Output is correct
13 Correct 68 ms 2376 KB Output is correct
14 Correct 42 ms 2388 KB Output is correct
15 Correct 9 ms 596 KB Output is correct
16 Correct 42 ms 2456 KB Output is correct
17 Correct 106 ms 4464 KB Output is correct
18 Correct 58 ms 2364 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 32 ms 1356 KB Output is correct
35 Correct 83 ms 4432 KB Output is correct
36 Correct 115 ms 4500 KB Output is correct
37 Correct 303 ms 4436 KB Output is correct
38 Correct 343 ms 4504 KB Output is correct
39 Correct 80 ms 4540 KB Output is correct
40 Correct 2 ms 212 KB Output is correct
41 Correct 86 ms 2504 KB Output is correct
42 Correct 100 ms 4472 KB Output is correct
43 Correct 16 ms 848 KB Output is correct
44 Correct 65 ms 2388 KB Output is correct
45 Correct 93 ms 4540 KB Output is correct
46 Correct 109 ms 4496 KB Output is correct
47 Correct 37 ms 2432 KB Output is correct
48 Correct 4 ms 516 KB Output is correct
49 Correct 292 ms 4520 KB Output is correct
50 Correct 132 ms 4408 KB Output is correct
51 Correct 221 ms 4408 KB Output is correct
52 Correct 127 ms 4424 KB Output is correct
53 Correct 117 ms 4444 KB Output is correct
54 Correct 335 ms 4408 KB Output is correct
55 Correct 124 ms 4408 KB Output is correct
56 Correct 157 ms 4420 KB Output is correct
57 Correct 122 ms 4508 KB Output is correct
58 Correct 1361 ms 4440 KB Output is correct
59 Correct 1402 ms 5520 KB Output is correct
60 Correct 1337 ms 5560 KB Output is correct
61 Correct 1397 ms 5488 KB Output is correct
62 Correct 1293 ms 5608 KB Output is correct
63 Correct 1458 ms 5432 KB Output is correct
64 Correct 1259 ms 5636 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 1 ms 296 KB Output is correct
67 Correct 1418 ms 6260 KB Output is correct
68 Correct 1417 ms 6252 KB Output is correct
69 Correct 1265 ms 6464 KB Output is correct
70 Correct 1359 ms 6288 KB Output is correct
71 Correct 1368 ms 6296 KB Output is correct
72 Correct 1395 ms 6184 KB Output is correct
73 Correct 1329 ms 6296 KB Output is correct
74 Correct 1538 ms 6200 KB Output is correct
75 Correct 1509 ms 6252 KB Output is correct
76 Correct 1539 ms 6268 KB Output is correct
77 Correct 305 ms 6220 KB Output is correct
78 Correct 160 ms 6092 KB Output is correct
79 Correct 203 ms 6252 KB Output is correct
80 Correct 209 ms 6212 KB Output is correct
81 Correct 211 ms 6224 KB Output is correct
82 Correct 178 ms 6256 KB Output is correct
83 Correct 153 ms 6212 KB Output is correct
84 Correct 882 ms 6204 KB Output is correct
85 Correct 1516 ms 6244 KB Output is correct
86 Correct 2 ms 212 KB Output is correct
87 Correct 1 ms 212 KB Output is correct
88 Correct 1537 ms 6240 KB Output is correct
89 Correct 294 ms 1880 KB Output is correct
90 Correct 1 ms 212 KB Output is correct