Submission #555280

# Submission time Handle Problem Language Result Execution time Memory
555280 2022-04-30T11:12:28 Z ngpin04 Chessboard (IZhO18_chessboard) C++14
70 / 100
2000 ms 3416 KB
#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define TASK ""
#define ALL(x) (x).begin(), (x).end() 
using namespace std;
template <typename T1, typename T2> bool mini(T1 &a, T2 b) {
	if (a > b) {a = b; return true;} return false;
}
template <typename T1, typename T2> bool maxi(T1 &a, T2 b) {
	if (a < b) {a = b; return true;} return false;
}
const int N = 1e5 + 5; 
const int oo = 1e9;
const long long ooo = 1e18;
const int mod = 1e9 + 7; // 998244353;
const long double pi = acos(-1);

pair <int, int> a[N], b[N];

int par[2 * N];
int lim[2 * N];
int n,k;

int getc(int i, int j, int l, int val) {
	return ((par[i] ^ par[j]) & 1) ^ val;
}

int getv(int i, int j, int l, int val) {
	return (getc(i, j, l, val) > 0) ? -1 : 1;
}

long long calc(int x, int y, int u, int v, int l, int val) {
	if (x > u || y > v)
		return 0;	

	long long res = 0;
	int dx = (u - x + 1);
	int dy = (v - y + 1);
	int base = getv(x, y, l, val);
	if (dx > dy)
		swap(dx, dy);

	if (dx < l) {
		if (dy < l) 
			res = (long long) dx * dy;
		else {
			if (par[dy] & 1)
				res = (long long) dx * l; 
		}
	} else {
		if (par[dx] & par[dy] & 1)
			res = (long long) l * l;
	}
	if (base < 0)
		res = -res;
	return res;
}

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	#ifdef ONLINE_JUDGE
	// freopen(TASK".inp","r",stdin);
	// freopen(TASK".out","w",stdout);
	#endif
	cin >> n >> k;

	for (int i = 1; i <= k; i++) {
		cin >> a[i].fi >> a[i].se >> b[i].fi >> b[i].se;
		a[i].fi--; a[i].se--;
		b[i].fi--; b[i].se--;
	}

	long long ans = ooo;
	for (int l = 1; l < n; l++) if (n % l == 0) {	
		for (int i = 0; i < 2 * n; i++) {
			par[i] = (i / l);
			lim[i] = par[i] * l;
		}
		
		for (int val = 0; val < 2; val++) {
			int d = (n / l);
			long long res = ((1LL * d * d + val) >> 1) * l * l;

			for (int id = 1; id <= k; id++) {
				int x = a[id].fi;
				int y = a[id].se;
				int u = b[id].fi;
				int v = b[id].se;

				int i = lim[x + l - 1];
				int j = lim[y + l - 1];
				int s = lim[u + 1] - 1;
				int t = lim[v + 1] - 1;
				vector <pair <int, int>> r, c;
				if (par[x] == par[u])
					r.push_back(mp(x, u));
				else {
					r.push_back(mp(x, i - 1));
					if (i <= s) 
						r.push_back(mp(i, s));
					r.push_back(mp(s + 1, u));
				}
				if (par[y] == par[v])
					c.push_back(mp(y, v));
				else {
					c.push_back(mp(y, j - 1));
					if (j <= t) 
						c.push_back(mp(j, t));
					c.push_back(mp(t + 1, v));
				}

				for (pair <int, int> a : r)
				for (pair <int, int> b : c)
					res += calc(a.fi, b.fi, a.se, b.se, l, val);
			}
			// cerr << "split: " << l << " " << val << " " << res << "\n";
			mini(ans, res);
		}
	}

	cout << ans;
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 31 ms 2212 KB Output is correct
2 Correct 8 ms 728 KB Output is correct
3 Correct 20 ms 2264 KB Output is correct
4 Correct 20 ms 980 KB Output is correct
5 Correct 27 ms 2004 KB Output is correct
6 Correct 15 ms 1528 KB Output is correct
7 Correct 4 ms 804 KB Output is correct
8 Correct 17 ms 1620 KB Output is correct
9 Correct 37 ms 2224 KB Output is correct
10 Correct 21 ms 1636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 348 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 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 348 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 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 15 ms 784 KB Output is correct
17 Correct 30 ms 1620 KB Output is correct
18 Correct 60 ms 1888 KB Output is correct
19 Correct 280 ms 1720 KB Output is correct
20 Correct 301 ms 1876 KB Output is correct
21 Correct 28 ms 1620 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 41 ms 1100 KB Output is correct
24 Correct 52 ms 1660 KB Output is correct
25 Correct 9 ms 464 KB Output is correct
26 Correct 33 ms 1220 KB Output is correct
27 Correct 52 ms 1352 KB Output is correct
28 Correct 52 ms 1832 KB Output is correct
29 Correct 13 ms 852 KB Output is correct
30 Correct 2 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 31 ms 2212 KB Output is correct
2 Correct 8 ms 728 KB Output is correct
3 Correct 20 ms 2264 KB Output is correct
4 Correct 20 ms 980 KB Output is correct
5 Correct 27 ms 2004 KB Output is correct
6 Correct 15 ms 1528 KB Output is correct
7 Correct 4 ms 804 KB Output is correct
8 Correct 17 ms 1620 KB Output is correct
9 Correct 37 ms 2224 KB Output is correct
10 Correct 21 ms 1636 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 348 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 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 15 ms 784 KB Output is correct
27 Correct 30 ms 1620 KB Output is correct
28 Correct 60 ms 1888 KB Output is correct
29 Correct 280 ms 1720 KB Output is correct
30 Correct 301 ms 1876 KB Output is correct
31 Correct 28 ms 1620 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 41 ms 1100 KB Output is correct
34 Correct 52 ms 1660 KB Output is correct
35 Correct 9 ms 464 KB Output is correct
36 Correct 33 ms 1220 KB Output is correct
37 Correct 52 ms 1352 KB Output is correct
38 Correct 52 ms 1832 KB Output is correct
39 Correct 13 ms 852 KB Output is correct
40 Correct 2 ms 340 KB Output is correct
41 Correct 289 ms 3060 KB Output is correct
42 Correct 68 ms 3336 KB Output is correct
43 Correct 147 ms 3156 KB Output is correct
44 Correct 63 ms 3276 KB Output is correct
45 Correct 42 ms 3416 KB Output is correct
46 Correct 312 ms 3408 KB Output is correct
47 Correct 36 ms 3148 KB Output is correct
48 Correct 109 ms 3124 KB Output is correct
49 Correct 63 ms 3152 KB Output is correct
50 Correct 1567 ms 3048 KB Output is correct
51 Correct 1610 ms 3136 KB Output is correct
52 Correct 1518 ms 3036 KB Output is correct
53 Correct 1741 ms 3124 KB Output is correct
54 Correct 1565 ms 3028 KB Output is correct
55 Correct 1685 ms 3180 KB Output is correct
56 Correct 1441 ms 3020 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 31 ms 2212 KB Output is correct
10 Correct 8 ms 728 KB Output is correct
11 Correct 20 ms 2264 KB Output is correct
12 Correct 20 ms 980 KB Output is correct
13 Correct 27 ms 2004 KB Output is correct
14 Correct 15 ms 1528 KB Output is correct
15 Correct 4 ms 804 KB Output is correct
16 Correct 17 ms 1620 KB Output is correct
17 Correct 37 ms 2224 KB Output is correct
18 Correct 21 ms 1636 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 348 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 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 15 ms 784 KB Output is correct
35 Correct 30 ms 1620 KB Output is correct
36 Correct 60 ms 1888 KB Output is correct
37 Correct 280 ms 1720 KB Output is correct
38 Correct 301 ms 1876 KB Output is correct
39 Correct 28 ms 1620 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 41 ms 1100 KB Output is correct
42 Correct 52 ms 1660 KB Output is correct
43 Correct 9 ms 464 KB Output is correct
44 Correct 33 ms 1220 KB Output is correct
45 Correct 52 ms 1352 KB Output is correct
46 Correct 52 ms 1832 KB Output is correct
47 Correct 13 ms 852 KB Output is correct
48 Correct 2 ms 340 KB Output is correct
49 Correct 289 ms 3060 KB Output is correct
50 Correct 68 ms 3336 KB Output is correct
51 Correct 147 ms 3156 KB Output is correct
52 Correct 63 ms 3276 KB Output is correct
53 Correct 42 ms 3416 KB Output is correct
54 Correct 312 ms 3408 KB Output is correct
55 Correct 36 ms 3148 KB Output is correct
56 Correct 109 ms 3124 KB Output is correct
57 Correct 63 ms 3152 KB Output is correct
58 Correct 1567 ms 3048 KB Output is correct
59 Correct 1610 ms 3136 KB Output is correct
60 Correct 1518 ms 3036 KB Output is correct
61 Correct 1741 ms 3124 KB Output is correct
62 Correct 1565 ms 3028 KB Output is correct
63 Correct 1685 ms 3180 KB Output is correct
64 Correct 1441 ms 3020 KB Output is correct
65 Correct 0 ms 340 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Execution timed out 2081 ms 3080 KB Time limit exceeded
68 Halted 0 ms 0 KB -