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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#252092#7701. A (Fast) Walk in the Woodsmendicillin2AC ✓34ms3924kbC++173.0kb2023-11-15 15:32:212023-11-15 15:32:22

Judging History

This is the latest submission verdict.

  • [2023-11-15 15:32:22]
  • Judged
  • Verdict: AC
  • Time: 34ms
  • Memory: 3924kb
  • [2023-11-15 15:32:21]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;

int main() {
	ios_base::sync_with_stdio(false), cin.tie(nullptr);

	int N, M; cin >> N >> M;

	using C = array<int, 2>;
	vector<C> locs(N);
	for (auto& [x, y] : locs) cin >> x >> y;

	// NESW -- 0123

	auto get_dir_impl = [&](int x, int y, int ox, int oy) -> int {
		if (x == ox) {
			if (y < oy) return 0;
			else if (oy < y) return 2;
		} else if (y == oy) {
			if (x < ox) return 1;
			else if (ox < x) return 3;
		} else assert(false);
		assert(false);
	};
	auto get_dir = [&](C a, C b) -> int {
		return get_dir_impl(a[0], a[1], b[0], b[1]);
	};

	auto get_opposite = [&](int dir) -> int {
		static array<int, 4> op = {2, 3, 0, 1};
		return op[dir];
	};

	struct edge_t {
		int dest;
		int n;
	};
	vector<array<edge_t, 4>> adj(N);
	for (int i = 0; i < N; i++) {
		for (int dir = 0; dir < 4; dir++) {
			adj[i][dir] = edge_t{-1, 0};
		}
	}
	for (int e = 0; e < M; e++) {
		int i, j, k; cin >> i >> j >> k; i--, j--;
		int dir = get_dir(locs[i], locs[j]);
		int odir = get_opposite(dir);
		adj[i][dir] = edge_t{j, k};
		adj[j][odir] = edge_t{i, k};
	}

	int cur; cin >> cur; cur--;
	int cur_facing;
	{
		string z; cin >> z;
		if (z == "N") {
			cur_facing = 0;
		} else if (z == "E") {
			cur_facing = 1;
		} else if (z == "S") {
			cur_facing = 2;
		} else if (z == "W") {
			cur_facing = 3;
		} else assert(false);
	}

	auto update_edge = [&](int i, int dir, int x) -> void {
		int j = adj[i][dir].dest;
		int odir = get_opposite(dir);
		adj[i][dir].n -= x;
		adj[j][odir].n -= x;
	};

	bool first_step = true;

	// <= M iterations
	while (true) {
		vector<int> seen(4*N, 0);

		vector<pair<int, int>> path;
		bool cyc = false;

		while (true) {
			vector<int> cnds; cnds.reserve(3);
			if (first_step) {
				cnds.push_back(0);
				first_step = false;
			} else {
				for (int rel_dir : {3, 0, 1}) {
					int dir = (cur_facing + rel_dir) % 4;
					if (adj[cur][dir].n > 0) {
						cnds.push_back(rel_dir);
					}
				}
			}

			if (cnds.empty()) {
				// no outgoing edges
				break;
			}

			int e;
			auto do_move = [&](int rel_dir) -> void {
				int dir = (cur_facing + rel_dir) % 4;
				e = 4 * cur + dir;
				if (seen[e]) return;
				update_edge(cur, dir, 1);
				path.emplace_back(cur, dir);
				cur = adj[cur][dir].dest;
				cur_facing = dir;
			};
			if (cnds.size() == 3) {
				do_move(0);
			} else {
				do_move(cnds[0]);
			}

			if (seen[e]) {
				int f = 0;
				while (true) {
					auto [i, dir] = path[f];
					int pe = 4 * i + dir;
					if (e == pe) {
						break;
					}
					f++;
				}
				path = vector(path.begin() + f, path.end());

				cyc = true;
				break;
			}
			seen[e] = 1;
		}

		if (!cyc) {
			cout << locs[cur][0] << ' ' << locs[cur][1] << '\n';
			break;
		}

		static const int inf = 1e8;
		int x = inf;
		for (auto [i, dir] : path) {
			int j = adj[i][dir].dest;
			int odir = get_opposite(dir);
			int oe = 4 * j + odir;
			if (seen[oe]) {
				x = min(x, adj[i][dir].n/2);
			} else {
				x = min(x, adj[i][dir].n);
			}
		}
		for (auto [i, dir] : path) {
			update_edge(i, dir, x);
		}
	}

	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3596kb

input:

7 8
0 0 5 0 12 0 0 5 5 5 0 10 12 10
1 2 2
2 3 4
4 5 5
6 7 8
1 4 4
2 5 7
3 7 4
4 6 6
4 N

output:

0 0

result:

ok single line: '0 0'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

2 1
5 5 100 5
1 2 10000
2 W

output:

5 5

result:

ok single line: '5 5'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

4 4
0 0 0 10 10 10 10 0
1 2 10
2 3 10
3 4 10
1 4 10
4 N

output:

10 0

result:

ok single line: '10 0'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

9 12
0 0 0 1 0 2 1 0 1 1 1 2 2 0 2 1 2 2
1 2 1
2 3 1
4 1 1
4 5 1
5 2 1
5 6 1
6 3 1
6 9 1
9 8 1
8 5 1
8 7 1
7 4 1
8 N

output:

1 0

result:

ok single line: '1 0'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

9 12
0 0 0 1 0 2 1 0 1 1 1 2 2 0 2 1 2 2
1 2 1
2 3 1
4 1 1
4 5 1
5 2 1
5 6 1
6 3 1
6 9 1
9 8 1
8 5 1
8 7 1
7 4 1
8 W

output:

0 1

result:

ok single line: '0 1'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

4 4
0 0 0 5 5 5 5 0
1 2 1
2 3 1
3 4 1
4 1 1
1 E

output:

0 0

result:

ok single line: '0 0'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3528kb

input:

4 4
0 0 0 5 5 5 5 0
1 2 1
2 3 1
3 4 1
4 1 1
1 N

output:

0 0

result:

ok single line: '0 0'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

4 4
0 0 0 5 5 5 5 0
1 2 10000
2 3 10000
3 4 10000
4 1 10000
1 E

output:

0 0

result:

ok single line: '0 0'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

4 4
0 0 0 5 5 5 5 0
1 2 101
2 3 101
3 4 100
4 1 100
1 E

output:

0 0

result:

ok single line: '0 0'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

4 4
0 0 0 5 5 5 5 0
1 2 101
2 3 100
3 4 101
4 1 100
1 E

output:

0 0

result:

ok single line: '0 0'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

8 9
0 20 10 20 0 10 10 10 20 10 30 10 20 0 30 0
1 2 10
3 4 10
4 5 11
5 6 10
7 8 10
1 3 10
2 4 10
5 7 10
6 8 10
4 E

output:

20 10

result:

ok single line: '20 10'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3528kb

input:

8 9
0 20 10 20 0 10 10 10 20 10 30 10 20 0 30 0
1 2 10
3 4 10
4 5 10
5 6 10
7 8 10
1 3 10
2 4 10
5 7 10
6 8 10
4 E

output:

10 10

result:

ok single line: '10 10'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

8 7
0 53 10 17 25 8 25 17 37 0 0 8 10 0 37 53
1 8 100
4 2 200
6 3 100
1 6 100
7 2 100
4 3 100
5 8 100
7 N

output:

37 0

result:

ok single line: '37 0'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

2400 2999
0 0 1 0 1 1 0 1 2 0 3 0 3 1 2 1 4 0 5 0 5 1 4 1 6 0 7 0 7 1 6 1 8 0 9 0 9 1 8 1 10 0 11 0 11 1 10 1 12 0 13 0 13 1 12 1 14 0 15 0 15 1 14 1 16 0 17 0 17 1 16 1 18 0 19 0 19 1 18 1 20 0 21 0 21 1 20 1 22 0 23 0 23 1 22 1 24 0 25 0 25 1 24 1 26 0 27 0 27 1 26 1 28 0 29 0 29 1 28 1 30 0 31 0 ...

output:

0 1

result:

ok single line: '0 1'

Test #15:

score: 0
Accepted
time: 33ms
memory: 3808kb

input:

2500 3748
0 0 0 10 10 0 10 10 20 0 20 10 30 0 30 10 40 0 40 10 50 0 50 10 60 0 60 10 70 0 70 10 80 0 80 10 90 0 90 10 100 0 100 10 110 0 110 10 120 0 120 10 130 0 130 10 140 0 140 10 150 0 150 10 160 0 160 10 170 0 170 10 180 0 180 10 190 0 190 10 200 0 200 10 210 0 210 10 220 0 220 10 230 0 230 10 ...

output:

12490 10

result:

ok single line: '12490 10'

Test #16:

score: 0
Accepted
time: 1ms
memory: 3924kb

input:

2500 2548
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 200 0 210 0 220 0 230 0 240 0 250 0 260 0 270 0 280 0 290 0 300 0 310 0 320 0 330 0 340 0 350 0 360 0 370 0 380 0 390 0 400 0 410 0 420 0 430 0 440 0 450 0 460 0 470 0 480 0 490 0 0...

output:

490 0

result:

ok single line: '490 0'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

2500 2524
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 200 0 210 0 220 0 230 0 240 0 250 0 260 0 270 0 280 0 290 0 300 0 310 0 320 0 330 0 340 0 350 0 360 0 370 0 380 0 390 0 400 0 410 0 420 0 430 0 440 0 450 0 460 0 470 0 480 0 490 0 0...

output:

240 250

result:

ok single line: '240 250'

Test #18:

score: 0
Accepted
time: 1ms
memory: 3752kb

input:

2500 4420
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 200 0 210 0 220 0 230 0 240 0 250 0 260 0 270 0 280 0 290 0 300 0 310 0 320 0 330 0 340 0 350 0 360 0 370 0 380 0 390 0 400 0 410 0 420 0 430 0 440 0 450 0 460 0 470 0 480 0 490 0 0...

output:

40 130

result:

ok single line: '40 130'

Test #19:

score: 0
Accepted
time: 1ms
memory: 3676kb

input:

2500 4373
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 200 0 210 0 220 0 230 0 240 0 250 0 260 0 270 0 280 0 290 0 300 0 310 0 320 0 330 0 340 0 350 0 360 0 370 0 380 0 390 0 400 0 410 0 420 0 430 0 440 0 450 0 460 0 470 0 480 0 490 0 5...

output:

70 70

result:

ok single line: '70 70'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3740kb

input:

2500 3891
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 200 0 210 0 220 0 230 0 240 0 0 10 10 10 20 10 30 10 40 10 50 10 60 10 70 10 80 10 90 10 100 10 110 10 120 10 130 10 140 10 150 10 160 10 170 10 180 10 190 10 200 10 210 10 220 10 2...

output:

70 160

result:

ok single line: '70 160'

Test #21:

score: 0
Accepted
time: 1ms
memory: 3696kb

input:

2500 4352
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 200 0 210 0 220 0 230 0 240 0 250 0 260 0 270 0 280 0 290 0 300 0 310 0 320 0 330 0 340 0 350 0 360 0 370 0 380 0 390 0 400 0 410 0 420 0 430 0 440 0 450 0 460 0 470 0 480 0 490 0 5...

output:

300 190

result:

ok single line: '300 190'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

2500 4363
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 0 10 10 10 20 10 30 10 40 10 50 10 60 10 70 10 80 10 90 10 100 10 110 10 120 10 130 10 140 10 150 10 160 10 170 10 180 10 190 10 0 20 10 20 20 20 30 20 40 20 50 20 60 20 70 20 80 20...

output:

100 170

result:

ok single line: '100 170'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3892kb

input:

2500 4043
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 200 0 210 0 220 0 230 0 240 0 250 0 260 0 270 0 280 0 290 0 300 0 310 0 320 0 330 0 340 0 350 0 360 0 370 0 380 0 390 0 400 0 410 0 420 0 430 0 440 0 450 0 460 0 470 0 480 0 490 0 5...

output:

130 90

result:

ok single line: '130 90'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3696kb

input:

2500 2812
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 0 10 10 10 20 10 30 10 40 10 50 10 60 10 70 10 80 10 90 10 0 20 10 20 20 20 30 20 40 20 50 20 60 20 70 20 80 20 90 20 0 30 10 30 20 30 30 30 40 30 50 30 60 30 70 30 80 30 90 30 0 40 10 40 20 40 30 40 40 40 50 40 60 40 70 40 80 40 90 40 0 50 ...

output:

0 10

result:

ok single line: '0 10'

Test #25:

score: 0
Accepted
time: 1ms
memory: 3756kb

input:

2500 4009
0 0 10 0 20 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 200 0 210 0 220 0 230 0 240 0 250 0 260 0 270 0 280 0 290 0 300 0 310 0 320 0 330 0 340 0 350 0 360 0 370 0 380 0 390 0 400 0 410 0 420 0 430 0 440 0 450 0 460 0 470 0 480 0 490 0 5...

output:

300 30

result:

ok single line: '300 30'

Test #26:

score: 0
Accepted
time: 1ms
memory: 3672kb

input:

2500 4044
0 0 10 0 20 0 30 0 40 0 0 10 10 10 20 10 30 10 40 10 0 20 10 20 20 20 30 20 40 20 0 30 10 30 20 30 30 30 40 30 0 40 10 40 20 40 30 40 40 40 0 50 10 50 20 50 30 50 40 50 0 60 10 60 20 60 30 60 40 60 0 70 10 70 20 70 30 70 40 70 0 80 10 80 20 80 30 80 40 80 0 90 10 90 20 90 30 90 40 90 0 100...

output:

0 150

result:

ok single line: '0 150'

Test #27:

score: 0
Accepted
time: 34ms
memory: 3756kb

input:

2500 3748
0 998809 1000000 998809 0 998163 1000000 998163 0 996915 1000000 996915 0 996154 1000000 996154 0 994351 1000000 994351 0 993498 1000000 993498 0 992719 1000000 992719 0 992353 1000000 992353 0 991299 1000000 991299 0 991255 1000000 991255 0 990904 1000000 990904 0 989447 1000000 989447 0 ...

output:

1000000 0

result:

ok single line: '1000000 0'