Submission #50841

# Submission time Handle Problem Language Result Execution time Memory
50841 2018-06-13T16:29:12 Z Nicksechko Chessboard (IZhO18_chessboard) C++14
100 / 100
1221 ms 908 KB
#ifndef LOCAL
#pragma GCC optimize "-O3"
#endif
#include <bits/stdc++.h>

typedef long long ll;
typedef long long llong;
typedef long double ld;
typedef unsigned long long ull;

using namespace std;

/*
ll pw(ll a, ll b) {
	ll ans = 1; while (b) {
		while (!(b & 1)) b >>= 1, a = (a * a) % MOD;
		ans = (ans * a) % MOD, --b;
	} return ans;
}
*/

pair<ll, ll> operator+(pair<ll, ll> a, pair<ll, ll> b) {
	return make_pair(a.first + b.first, a.second + b.second);
}

pair<ll, ll> operator-(pair<ll, ll> a, pair<ll, ll> b) {
	return make_pair(a.first - b.first, a.second - b.second);
}


pair<ll, ll> get(ll x, ll k) {
	ll kx = x / k;
	if (kx % 2 == 0)
		return make_pair((kx + 1) / 2 * k + x % k, (kx) / 2 * k);
	else
		return make_pair((kx + 1) / 2 * k, (kx) / 2 * k + x % k);
}

const ll MAXN = 120000;

int n, k;
vector<ll> dv;

pair<ll, ll> go[MAXN];

int main() {
	ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
	cin >> n >> k;
	for (int i = 1; i < n; ++i) {
		if (n % i == 0)
			dv.push_back(i);
	}
	for (int i = 0; i < k; ++i) {
		int x1, y1, x2, y2;
		cin >> x1 >> y1 >> x2 >> y2;
		--x1, --y1;
		for (int it = 0; it < dv.size(); ++it) {
			int j = dv[it];
			pair<ll, ll> xx = get(x2, j) - get(x1, j);
			pair<ll, ll> yy = get(y2, j) - get(y1, j);
			go[it] = go[it] + make_pair(xx.first * yy.first + xx.second * yy.second, xx.second * yy.first + xx.first * yy.second);
		}
	}
	ll ans = ll(n) * n;
	for (int i = 0; i < dv.size(); ++i) {
		ll sd = n / dv[i];
		pair<ll, ll> nd = make_pair((sd * sd + 1) / 2 * dv[i] * dv[i], (sd * sd) / 2 * dv[i] * dv[i]);
		ans = min(ans, nd.first - go[i].first + go[i].second);
		ans = min(ans, nd.second - go[i].second + go[i].first);
	}
	cout << ans << "\n";
	return 0;
}


Compilation message

chessboard.cpp: In function 'int main()':
chessboard.cpp:57:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int it = 0; it < dv.size(); ++it) {
                    ~~~^~~~~~~~~~~
chessboard.cpp:65:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < dv.size(); ++i) {
                  ~~^~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 456 KB Output is correct
3 Correct 2 ms 456 KB Output is correct
4 Correct 2 ms 532 KB Output is correct
5 Correct 3 ms 548 KB Output is correct
6 Correct 3 ms 548 KB Output is correct
7 Correct 2 ms 548 KB Output is correct
8 Correct 3 ms 548 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 33 ms 564 KB Output is correct
2 Correct 17 ms 608 KB Output is correct
3 Correct 31 ms 724 KB Output is correct
4 Correct 31 ms 728 KB Output is correct
5 Correct 55 ms 872 KB Output is correct
6 Correct 19 ms 872 KB Output is correct
7 Correct 8 ms 872 KB Output is correct
8 Correct 19 ms 872 KB Output is correct
9 Correct 45 ms 872 KB Output is correct
10 Correct 30 ms 872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 872 KB Output is correct
2 Correct 3 ms 872 KB Output is correct
3 Correct 3 ms 872 KB Output is correct
4 Correct 3 ms 872 KB Output is correct
5 Correct 4 ms 872 KB Output is correct
6 Correct 3 ms 872 KB Output is correct
7 Correct 3 ms 872 KB Output is correct
8 Correct 3 ms 872 KB Output is correct
9 Correct 3 ms 872 KB Output is correct
10 Correct 2 ms 872 KB Output is correct
11 Correct 2 ms 872 KB Output is correct
12 Correct 2 ms 872 KB Output is correct
13 Correct 3 ms 872 KB Output is correct
14 Correct 3 ms 872 KB Output is correct
15 Correct 2 ms 872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 872 KB Output is correct
2 Correct 3 ms 872 KB Output is correct
3 Correct 3 ms 872 KB Output is correct
4 Correct 3 ms 872 KB Output is correct
5 Correct 4 ms 872 KB Output is correct
6 Correct 3 ms 872 KB Output is correct
7 Correct 3 ms 872 KB Output is correct
8 Correct 3 ms 872 KB Output is correct
9 Correct 3 ms 872 KB Output is correct
10 Correct 2 ms 872 KB Output is correct
11 Correct 2 ms 872 KB Output is correct
12 Correct 2 ms 872 KB Output is correct
13 Correct 3 ms 872 KB Output is correct
14 Correct 3 ms 872 KB Output is correct
15 Correct 2 ms 872 KB Output is correct
16 Correct 19 ms 872 KB Output is correct
17 Correct 38 ms 872 KB Output is correct
18 Correct 62 ms 872 KB Output is correct
19 Correct 245 ms 872 KB Output is correct
20 Correct 311 ms 872 KB Output is correct
21 Correct 37 ms 872 KB Output is correct
22 Correct 4 ms 872 KB Output is correct
23 Correct 46 ms 872 KB Output is correct
24 Correct 56 ms 872 KB Output is correct
25 Correct 11 ms 872 KB Output is correct
26 Correct 51 ms 872 KB Output is correct
27 Correct 56 ms 872 KB Output is correct
28 Correct 58 ms 872 KB Output is correct
29 Correct 15 ms 872 KB Output is correct
30 Correct 4 ms 872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 33 ms 564 KB Output is correct
2 Correct 17 ms 608 KB Output is correct
3 Correct 31 ms 724 KB Output is correct
4 Correct 31 ms 728 KB Output is correct
5 Correct 55 ms 872 KB Output is correct
6 Correct 19 ms 872 KB Output is correct
7 Correct 8 ms 872 KB Output is correct
8 Correct 19 ms 872 KB Output is correct
9 Correct 45 ms 872 KB Output is correct
10 Correct 30 ms 872 KB Output is correct
11 Correct 3 ms 872 KB Output is correct
12 Correct 3 ms 872 KB Output is correct
13 Correct 3 ms 872 KB Output is correct
14 Correct 3 ms 872 KB Output is correct
15 Correct 4 ms 872 KB Output is correct
16 Correct 3 ms 872 KB Output is correct
17 Correct 3 ms 872 KB Output is correct
18 Correct 3 ms 872 KB Output is correct
19 Correct 3 ms 872 KB Output is correct
20 Correct 2 ms 872 KB Output is correct
21 Correct 2 ms 872 KB Output is correct
22 Correct 2 ms 872 KB Output is correct
23 Correct 3 ms 872 KB Output is correct
24 Correct 3 ms 872 KB Output is correct
25 Correct 2 ms 872 KB Output is correct
26 Correct 19 ms 872 KB Output is correct
27 Correct 38 ms 872 KB Output is correct
28 Correct 62 ms 872 KB Output is correct
29 Correct 245 ms 872 KB Output is correct
30 Correct 311 ms 872 KB Output is correct
31 Correct 37 ms 872 KB Output is correct
32 Correct 4 ms 872 KB Output is correct
33 Correct 46 ms 872 KB Output is correct
34 Correct 56 ms 872 KB Output is correct
35 Correct 11 ms 872 KB Output is correct
36 Correct 51 ms 872 KB Output is correct
37 Correct 56 ms 872 KB Output is correct
38 Correct 58 ms 872 KB Output is correct
39 Correct 15 ms 872 KB Output is correct
40 Correct 4 ms 872 KB Output is correct
41 Correct 199 ms 872 KB Output is correct
42 Correct 66 ms 872 KB Output is correct
43 Correct 119 ms 872 KB Output is correct
44 Correct 63 ms 872 KB Output is correct
45 Correct 55 ms 872 KB Output is correct
46 Correct 223 ms 872 KB Output is correct
47 Correct 50 ms 872 KB Output is correct
48 Correct 103 ms 872 KB Output is correct
49 Correct 61 ms 872 KB Output is correct
50 Correct 1085 ms 872 KB Output is correct
51 Correct 1090 ms 872 KB Output is correct
52 Correct 1048 ms 872 KB Output is correct
53 Correct 1060 ms 872 KB Output is correct
54 Correct 994 ms 872 KB Output is correct
55 Correct 1182 ms 872 KB Output is correct
56 Correct 962 ms 872 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 456 KB Output is correct
3 Correct 2 ms 456 KB Output is correct
4 Correct 2 ms 532 KB Output is correct
5 Correct 3 ms 548 KB Output is correct
6 Correct 3 ms 548 KB Output is correct
7 Correct 2 ms 548 KB Output is correct
8 Correct 3 ms 548 KB Output is correct
9 Correct 33 ms 564 KB Output is correct
10 Correct 17 ms 608 KB Output is correct
11 Correct 31 ms 724 KB Output is correct
12 Correct 31 ms 728 KB Output is correct
13 Correct 55 ms 872 KB Output is correct
14 Correct 19 ms 872 KB Output is correct
15 Correct 8 ms 872 KB Output is correct
16 Correct 19 ms 872 KB Output is correct
17 Correct 45 ms 872 KB Output is correct
18 Correct 30 ms 872 KB Output is correct
19 Correct 3 ms 872 KB Output is correct
20 Correct 3 ms 872 KB Output is correct
21 Correct 3 ms 872 KB Output is correct
22 Correct 3 ms 872 KB Output is correct
23 Correct 4 ms 872 KB Output is correct
24 Correct 3 ms 872 KB Output is correct
25 Correct 3 ms 872 KB Output is correct
26 Correct 3 ms 872 KB Output is correct
27 Correct 3 ms 872 KB Output is correct
28 Correct 2 ms 872 KB Output is correct
29 Correct 2 ms 872 KB Output is correct
30 Correct 2 ms 872 KB Output is correct
31 Correct 3 ms 872 KB Output is correct
32 Correct 3 ms 872 KB Output is correct
33 Correct 2 ms 872 KB Output is correct
34 Correct 19 ms 872 KB Output is correct
35 Correct 38 ms 872 KB Output is correct
36 Correct 62 ms 872 KB Output is correct
37 Correct 245 ms 872 KB Output is correct
38 Correct 311 ms 872 KB Output is correct
39 Correct 37 ms 872 KB Output is correct
40 Correct 4 ms 872 KB Output is correct
41 Correct 46 ms 872 KB Output is correct
42 Correct 56 ms 872 KB Output is correct
43 Correct 11 ms 872 KB Output is correct
44 Correct 51 ms 872 KB Output is correct
45 Correct 56 ms 872 KB Output is correct
46 Correct 58 ms 872 KB Output is correct
47 Correct 15 ms 872 KB Output is correct
48 Correct 4 ms 872 KB Output is correct
49 Correct 199 ms 872 KB Output is correct
50 Correct 66 ms 872 KB Output is correct
51 Correct 119 ms 872 KB Output is correct
52 Correct 63 ms 872 KB Output is correct
53 Correct 55 ms 872 KB Output is correct
54 Correct 223 ms 872 KB Output is correct
55 Correct 50 ms 872 KB Output is correct
56 Correct 103 ms 872 KB Output is correct
57 Correct 61 ms 872 KB Output is correct
58 Correct 1085 ms 872 KB Output is correct
59 Correct 1090 ms 872 KB Output is correct
60 Correct 1048 ms 872 KB Output is correct
61 Correct 1060 ms 872 KB Output is correct
62 Correct 994 ms 872 KB Output is correct
63 Correct 1182 ms 872 KB Output is correct
64 Correct 962 ms 872 KB Output is correct
65 Correct 3 ms 872 KB Output is correct
66 Correct 2 ms 872 KB Output is correct
67 Correct 1096 ms 872 KB Output is correct
68 Correct 1113 ms 872 KB Output is correct
69 Correct 967 ms 872 KB Output is correct
70 Correct 1163 ms 872 KB Output is correct
71 Correct 1049 ms 872 KB Output is correct
72 Correct 1059 ms 908 KB Output is correct
73 Correct 958 ms 908 KB Output is correct
74 Correct 1095 ms 908 KB Output is correct
75 Correct 1029 ms 908 KB Output is correct
76 Correct 1145 ms 908 KB Output is correct
77 Correct 182 ms 908 KB Output is correct
78 Correct 65 ms 908 KB Output is correct
79 Correct 125 ms 908 KB Output is correct
80 Correct 181 ms 908 KB Output is correct
81 Correct 118 ms 908 KB Output is correct
82 Correct 107 ms 908 KB Output is correct
83 Correct 87 ms 908 KB Output is correct
84 Correct 644 ms 908 KB Output is correct
85 Correct 1151 ms 908 KB Output is correct
86 Correct 3 ms 908 KB Output is correct
87 Correct 3 ms 908 KB Output is correct
88 Correct 1221 ms 908 KB Output is correct
89 Correct 215 ms 908 KB Output is correct
90 Correct 5 ms 908 KB Output is correct