oj.uz

Submission #652635

# Submission time Handle Problem Language Result Execution time Memory
652635 2022-10-23T15:12:08 Z ymm Chessboard (IZhO18_chessboard) C++17
100 / 100
 337 ms 5824 KB 
#include <bits/stdc++.h>
#define Loop(x,l,r) for (ll x = (l); x < (ll)(r); ++x)
#define LoopR(x,l,r) for (ll x = (r)-1; x >= (ll)(l); --x)
typedef long long ll;
typedef std::pair<int, int> pii;
typedef std::pair<ll , ll > pll;
using namespace std;

vector<ll> divs(ll x)
{
	vector<ll> ans;
	for (ll y = 1; y*y <= x; ++y) {
		if (x%y == 0) {
			ans.push_back(y);
			ans.push_back(x/y);
		}
	}
	return ans;
}

pll get(ll l, ll r, ll len)
{
	ll len2 = len*2;
	ll l2 = l%len2? l-l%len2+len2: l;
	ll r2 = r%len2? r-r%len2: r;
	ll a0 = (r2-l2)/2;
	ll a1 = (r2-l2)/2;
	a0 += max(0ll, l2-l-len);
	a1 += min(len, l2-l);
	a0 += min(len, r-r2);
	a1 += max(0ll, r-r2-len);
	return {a0, a1};
}

const int N = 100'010;
ll l0[N], r0[N];
ll l1[N], r1[N];

int main()
{
	cin.tie(0) -> sync_with_stdio(false);
	ll n, k;
	cin >> n >> k;
	Loop (i,0,k) {
		cin >> l0[i] >> l1[i];
		cin >> r0[i] >> r1[i];
		--l0[i]; --l1[i];
	}
	ll ans = n*n;
	for (ll x : divs(n)) {
		if (x == n)
			continue;
		ll sm0 = ((n/x) * (n/x) + 1)/2 * x * x;
		ll sm1 = ((n/x) * (n/x))/2 * x * x;
		Loop (i,0,k) {
			auto [a0, a1] = get(l0[i], r0[i], x);
			auto [b0, b1] = get(l1[i], r1[i], x);
			ll bl0 = a0*b0 + a1*b1;
			ll bl1 = a0*b1 + a1*b0;
			sm0 -= bl0;
			sm1 -= bl1;
			sm0 += (r0[i] - l0[i]) * (r1[i] - l1[i]) - bl0;
			sm1 += (r0[i] - l0[i]) * (r1[i] - l1[i]) - bl1;
		}
		ans = min(ans, sm0);
		ans = min(ans, sm1);
	}
	cout << ans << '\n';
}

Subtask #1
8.0 / 8.0

# 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 336 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 1 ms 212 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 3672 KB Output is correct
2 Correct 6 ms 1108 KB Output is correct
3 Correct 15 ms 2528 KB Output is correct
4 Correct 15 ms 2636 KB Output is correct
5 Correct 23 ms 3276 KB Output is correct
6 Correct 13 ms 2132 KB Output is correct
7 Correct 3 ms 724 KB Output is correct
8 Correct 13 ms 2120 KB Output is correct
9 Correct 35 ms 5128 KB Output is correct
10 Correct 18 ms 3112 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 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 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 340 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 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 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 10 ms 1620 KB Output is correct
17 Correct 26 ms 4324 KB Output is correct
18 Correct 40 ms 5012 KB Output is correct
19 Correct 77 ms 4488 KB Output is correct
20 Correct 89 ms 5008 KB Output is correct
21 Correct 23 ms 4164 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 19 ms 2388 KB Output is correct
24 Correct 32 ms 4620 KB Output is correct
25 Correct 4 ms 724 KB Output is correct
26 Correct 20 ms 2892 KB Output is correct
27 Correct 25 ms 3424 KB Output is correct
28 Correct 33 ms 4852 KB Output is correct
29 Correct 10 ms 1876 KB Output is correct
30 Correct 1 ms 468 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 3672 KB Output is correct
2 Correct 6 ms 1108 KB Output is correct
3 Correct 15 ms 2528 KB Output is correct
4 Correct 15 ms 2636 KB Output is correct
5 Correct 23 ms 3276 KB Output is correct
6 Correct 13 ms 2132 KB Output is correct
7 Correct 3 ms 724 KB Output is correct
8 Correct 13 ms 2120 KB Output is correct
9 Correct 35 ms 5128 KB Output is correct
10 Correct 18 ms 3112 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 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 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 10 ms 1620 KB Output is correct
27 Correct 26 ms 4324 KB Output is correct
28 Correct 40 ms 5012 KB Output is correct
29 Correct 77 ms 4488 KB Output is correct
30 Correct 89 ms 5008 KB Output is correct
31 Correct 23 ms 4164 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 19 ms 2388 KB Output is correct
34 Correct 32 ms 4620 KB Output is correct
35 Correct 4 ms 724 KB Output is correct
36 Correct 20 ms 2892 KB Output is correct
37 Correct 25 ms 3424 KB Output is correct
38 Correct 33 ms 4852 KB Output is correct
39 Correct 10 ms 1876 KB Output is correct
40 Correct 1 ms 468 KB Output is correct
41 Correct 73 ms 4888 KB Output is correct
42 Correct 39 ms 5540 KB Output is correct
43 Correct 50 ms 4880 KB Output is correct
44 Correct 39 ms 5272 KB Output is correct
45 Correct 36 ms 5708 KB Output is correct
46 Correct 82 ms 5324 KB Output is correct
47 Correct 31 ms 5044 KB Output is correct
48 Correct 43 ms 5060 KB Output is correct
49 Correct 34 ms 4940 KB Output is correct
50 Correct 305 ms 5332 KB Output is correct
51 Correct 321 ms 5580 KB Output is correct
52 Correct 296 ms 5292 KB Output is correct
53 Correct 322 ms 5584 KB Output is correct
54 Correct 297 ms 5140 KB Output is correct
55 Correct 334 ms 5824 KB Output is correct
56 Correct 288 ms 5072 KB Output is correct

Subtask #6
30.0 / 30.0

# 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 336 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 23 ms 3672 KB Output is correct
10 Correct 6 ms 1108 KB Output is correct
11 Correct 15 ms 2528 KB Output is correct
12 Correct 15 ms 2636 KB Output is correct
13 Correct 23 ms 3276 KB Output is correct
14 Correct 13 ms 2132 KB Output is correct
15 Correct 3 ms 724 KB Output is correct
16 Correct 13 ms 2120 KB Output is correct
17 Correct 35 ms 5128 KB Output is correct
18 Correct 18 ms 3112 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 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 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 10 ms 1620 KB Output is correct
35 Correct 26 ms 4324 KB Output is correct
36 Correct 40 ms 5012 KB Output is correct
37 Correct 77 ms 4488 KB Output is correct
38 Correct 89 ms 5008 KB Output is correct
39 Correct 23 ms 4164 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 19 ms 2388 KB Output is correct
42 Correct 32 ms 4620 KB Output is correct
43 Correct 4 ms 724 KB Output is correct
44 Correct 20 ms 2892 KB Output is correct
45 Correct 25 ms 3424 KB Output is correct
46 Correct 33 ms 4852 KB Output is correct
47 Correct 10 ms 1876 KB Output is correct
48 Correct 1 ms 468 KB Output is correct
49 Correct 73 ms 4888 KB Output is correct
50 Correct 39 ms 5540 KB Output is correct
51 Correct 50 ms 4880 KB Output is correct
52 Correct 39 ms 5272 KB Output is correct
53 Correct 36 ms 5708 KB Output is correct
54 Correct 82 ms 5324 KB Output is correct
55 Correct 31 ms 5044 KB Output is correct
56 Correct 43 ms 5060 KB Output is correct
57 Correct 34 ms 4940 KB Output is correct
58 Correct 305 ms 5332 KB Output is correct
59 Correct 321 ms 5580 KB Output is correct
60 Correct 296 ms 5292 KB Output is correct
61 Correct 322 ms 5584 KB Output is correct
62 Correct 297 ms 5140 KB Output is correct
63 Correct 334 ms 5824 KB Output is correct
64 Correct 288 ms 5072 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 1 ms 336 KB Output is correct
67 Correct 315 ms 5476 KB Output is correct
68 Correct 308 ms 5452 KB Output is correct
69 Correct 274 ms 4940 KB Output is correct
70 Correct 311 ms 5300 KB Output is correct
71 Correct 298 ms 5224 KB Output is correct
72 Correct 289 ms 5136 KB Output is correct
73 Correct 287 ms 5012 KB Output is correct
74 Correct 312 ms 5408 KB Output is correct
75 Correct 299 ms 5188 KB Output is correct
76 Correct 323 ms 5524 KB Output is correct
77 Correct 67 ms 5696 KB Output is correct
78 Correct 35 ms 5240 KB Output is correct
79 Correct 50 ms 4940 KB Output is correct
80 Correct 57 ms 5324 KB Output is correct
81 Correct 49 ms 4840 KB Output is correct
82 Correct 48 ms 5488 KB Output is correct
83 Correct 37 ms 4976 KB Output is correct
84 Correct 200 ms 5648 KB Output is correct
85 Correct 337 ms 5736 KB Output is correct
86 Correct 1 ms 336 KB Output is correct
87 Correct 1 ms 340 KB Output is correct
88 Correct 335 ms 5800 KB Output is correct
89 Correct 66 ms 1364 KB Output is correct
90 Correct 1 ms 340 KB Output is correct