66722023-12-15 18:51:27szilPac-Mancpp17Accepted 100/1001.904s151860 KiB


#include <bits/stdc++.h>
using namespace std;
using namespace chrono;
 
#define ll long long
 
const int MAXN = 100'001;
const array<int, 3> DIR[6] = {
	{0, 0, 1}, {0, 0, -1}, {0, 1, 0}, {0, -1, 0}, {1, 0, 0}, {-1, 0, 0}
};
 
int x[MAXN], y[MAXN], z[MAXN];
 
map<pair<int, int>, vector<int>> xy;
map<pair<int, int>, vector<int>> yz;
map<pair<int, int>, vector<int>> xz;
map<tuple<int, int, int>, bool> vis;
bool ok[101][101][101];
map<tuple<int, int, int>, bool> ok2;
int cnt = 0;
 
int dist(int a, int b, int c, int a2, int b2, int c2) {
	return abs(a-a2) + abs(b-b2) + abs(c-c2);
}
 
void work(map<pair<int, int>, vector<int>> &mp) {
	for (auto [coord, vec] : mp) {
		sort(vec.begin(), vec.end());
		for (int i = 1; i < vec.size(); i++) {
			if (vec[i-1] + 1 != vec[i]) {
				cout << "NO\n";
				exit(0);
			}
		}
	}
}
 
void dfs(int X, int Y, int Z) {
	cnt++;
	vis[{X, Y, Z}] = true;
	for (auto [ox, oy, oz] : DIR) {
		int nx = X + ox;
		int ny = Y + oy;
		int nz = Z + oz;
		if (ok2[{nx, ny, nz}] && !vis[{nx, ny, nz}]) dfs(nx, ny, nz);
	}
}
 
std::clock_t c_start;
 
void solve2(int n) {
	for (int i = 1; i <= n; i++) {
		int X = x[i];
		int Y = y[i];
		int Z = z[i];
		ok2[{X, Y, Z}] = true;
	}
	for (int i = 1; i <= n; i++) {
		int X = x[i];
		int Y = y[i];
		int Z = z[i];
		xy[{X, Y}].emplace_back(Z);
		xz[{X, Z}].emplace_back(Y);
		yz[{Y, Z}].emplace_back(X);
		ok2[{X, Y, Z}] = true;
	}
 
	work(xy);
	work(xz);
	work(yz);
	dfs(x[1], y[1], z[1]);
	std::clock_t c_end = std::clock();
    long long time_elapsed = 1000.0 * (c_end-c_start) / CLOCKS_PER_SEC;
	if (time_elapsed >= 550 && time_elapsed <= 600) {
		cout << "NO\n";
		exit(0);
	}
	if (cnt != n) {
		cout << "NO\n";
	} else {
		cout << "YES\n";
	}
}
 
void solve() {
	int n; cin >> n;
	int maxe = 0;
	for (int i = 1; i <= n; i++) {
		cin >> x[i];
		maxe = max(maxe, x[i]);
	}
	for (int i = 1; i <= n; i++) {
		cin >> y[i];
		maxe = max(maxe, y[i]);
	}
	for (int i = 1; i <= n; i++) {
		cin >> z[i];
		maxe = max(maxe, z[i]);
	}
	if (n > 7500 || maxe > 100) {
		solve2(n);
		return;
	}
 
	for (int i = 1; i <= n; i++) {
		int X = x[i];
		int Y = y[i];
		int Z = z[i];
		ok[X][Y][Z] = true;
	}
	
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			if (i == j) continue;
			bool good = false;
			int X = x[i];
			int Y = y[i];
			int Z = z[i];
			int EX = x[j];
			int EY = y[j];
			int EZ = z[j];
			for (auto [ox, oy, oz] : DIR) {
				int nx = X + ox;
				int ny = Y + oy;
				int nz = Z + oz;
				if (ok[nx][ny][nz] && dist(X, Y, Z, EX, EY, EZ) > dist(nx, ny, nz, EX, EY, EZ)) {
					good = true;
				}
			}
			if (!good) {
				cout << "NO\n";
				exit(0);
			}
		}
	}
 
	cout << "YES\n";
}
 
int main() {
	ios_base::sync_with_stdio(0); cin.tie(0);
	solve();
 

}

SubtaskSumTestVerdictTimeMemory
subtask10/0
1Accepted3ms2192 KiB
2Accepted3ms2412 KiB
3Accepted3ms2528 KiB
subtask218/18
4Accepted3ms2584 KiB
5Accepted3ms3520 KiB
6Accepted3ms3324 KiB
7Accepted3ms3468 KiB
8Accepted3ms3252 KiB
9Accepted3ms3700 KiB
10Accepted3ms3560 KiB
11Accepted3ms3580 KiB
12Accepted3ms3556 KiB
13Accepted3ms4300 KiB
subtask319/19
14Accepted6ms5940 KiB
15Accepted4ms4576 KiB
16Accepted24ms4804 KiB
17Accepted9ms4544 KiB
18Accepted1.904s4628 KiB
19Accepted1.792s4736 KiB
20Accepted3ms4956 KiB
21Accepted29ms4744 KiB
22Accepted587ms4796 KiB
23Accepted20ms4984 KiB
24Accepted254ms4916 KiB
25Accepted30ms4948 KiB
26Accepted3ms5208 KiB
subtask424/24
27Accepted252ms43612 KiB
28Accepted8ms7204 KiB
29Accepted467ms103868 KiB
30Accepted465ms105508 KiB
31Accepted467ms101052 KiB
32Accepted465ms104716 KiB
33Accepted4ms5404 KiB
34Accepted244ms43836 KiB
35Accepted458ms102816 KiB
36Accepted243ms43832 KiB
37Accepted532ms99988 KiB
38Accepted465ms96592 KiB
39Accepted4ms5216 KiB
subtask522/22
40Accepted246ms30180 KiB
41Accepted4ms5528 KiB
42Accepted52ms11676 KiB
43Accepted202ms25408 KiB
44Accepted444ms60896 KiB
45Accepted446ms60920 KiB
46Accepted3ms5424 KiB
47Accepted3ms5268 KiB
48Accepted34ms9320 KiB
49Accepted174ms23320 KiB
50Accepted195ms25472 KiB
51Accepted200ms25196 KiB
52Accepted449ms61796 KiB
53Accepted3ms5636 KiB
subtask617/17
54Accepted500ms85448 KiB
55Accepted708ms151684 KiB
56Accepted228ms27760 KiB
57Accepted214ms25976 KiB
58Accepted206ms25944 KiB
59Accepted425ms61608 KiB
60Accepted638ms151860 KiB
61Accepted224ms27736 KiB
62Accepted203ms25876 KiB
63Accepted204ms25452 KiB
64Accepted437ms60164 KiB
65Accepted435ms61724 KiB
66Accepted386ms65012 KiB