Submission #843985

# Submission time Handle Problem Language Result Execution time Memory
843985 2023-09-04T19:39:02 Z cryan Mecho (IOI09_mecho) C++17
75 / 100
1000 ms 9044 KB
// oh, these hills, they burn so bright / oh, these hills, they bring me life
#include "bits/stdc++.h"
using namespace std;

using ll = long long;
#define all(x) begin(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)(x.size())
#define inf 1000000010
#define linf 0x3f3f3f3f3f3f3f3f
#define mp make_pair
#define f first
#define s second
#define pi pair<int, int>
#ifdef LOCAL
#include "/mnt/c/yukon/pp.hpp"
#else
#define endl '\n'
#endif

struct Event {
	pi loc;
	int dist;
};
const vector<int> dx = {1, 0, -1, 0}, dy = {0, 1, 0, -1};
int main() {
	cin.tie(0)->sync_with_stdio(0);

	int n;
	cin >> n;

	int S;
	cin >> S;

	vector<vector<int>> grid(n, vector<int>(n));
	vector<pi> hives;
	pi start, end;

	for (int i = 0; i < n; i++) {
		string st;
		cin >> st;

		for (int j = 0; j < n; j++) {
			if (st[j] == 'T')
				grid[i][j] = -1;
			else if (st[j] != 'D')
				grid[i][j] = 0;
			else
				grid[i][j] = 1, end = {i, j};

			if (st[j] == 'H') {
				hives.emplace_back(i, j);
			} else if (st[j] == 'M')
				start = {i, j};
		}
	}

	// let's get distance from bees first
	queue<Event> bfs;

	vector<vector<int>> dist_bees(n, vector<int>(n, inf));
	for (auto &[i, j] : hives) {
		bfs.push({{i, j}, 0});
		dist_bees[i][j] = 0;
	}
	while (!bfs.empty()) {
		auto [i, j] = bfs.front().loc;
		int dist = bfs.front().dist;
		bfs.pop();

		if (dist_bees[i][j] < dist)
			continue;

		for (int d = 0; d < 4; d++) {
			int new_i = i + dx[d], new_j = j + dy[d];

			if (new_i >= 0 && new_i < n && new_j >= 0 && new_j < n) {
				if (grid[new_i][new_j] != -1 && dist_bees[new_i][new_j] > dist + 1 && pi{new_i, new_j} != end) {
					dist_bees[new_i][new_j] = dist + 1;
					bfs.push({{new_i, new_j}, dist + 1});
				}
			}
		}
	}
	// for (int i = 0; i < n; i++) {
	// 	cout << dist_bees[i] << endl;
	// }

	// now mecho's turn
	bfs.push({{start.f, start.s}, 0});
	// just store distance w/o S factor
	vector<vector<int>> mecho_dist(n, vector<int>(n, -inf));
	mecho_dist[start.f][start.s] = dist_bees[start.f][start.s];

	while (sz(bfs)) {
		auto [i, j] = bfs.front().loc;
		int dist = bfs.front().dist;
		bfs.pop();
		// if (mecho_dist[i][j] < dist)
		// continue;
		for (int d = 0; d < 4; d++) {
			int ni = i + dx[d], nj = j + dy[d];

			if (ni < 0 || ni >= n || nj < 0 || nj >= n)
				continue;

			int elapsed = (dist + 1) / S;
			// if (ni == 3 && nj == 3) {
			// 	cout << dist + 1 << ' ' << elapsed << ' ' << dist_bees[ni][nj] << endl;
			// }
			int lead = min(mecho_dist[i][j], dist_bees[ni][nj] - elapsed);
			if (grid[ni][nj] != -1 && mecho_dist[ni][nj] < lead && elapsed < dist_bees[ni][nj]) {
				mecho_dist[ni][nj] = lead;
				bfs.push({{ni, nj}, dist + 1});
			}
		}
	}
	// cout << "________" << endl;
	// for (int i = 0; i < n; i++) {
	// 	cout << mecho_dist[i] << endl;
	// }
	// cout << "________" << endl;
	// for (int i = 0; i < n; i++) {
	// 	cout << mecho_lead[i] << endl;
	// }

	int ans = -inf;
	for (int d = 0; d < 4; d++) {
		int ni = end.f + dx[d], nj = end.s + dy[d];

		if (ni < 0 || ni >= n || nj < 0 || nj >= n)
			continue;
		if (grid[ni][nj] == -1 || mecho_dist[ni][nj] == inf)
			continue;

		ans = max(ans, mecho_dist[ni][nj] - 1);
		// int elapsed = (mecho_dist[ni][nj] + S) / S;
		// ans = max(ans, dist_bees[ni][nj] - elapsed);
	}
	cout << ans << endl;
}

// don't get stuck on one approach
// question bounds
// flesh out your approach before implementing o.o
// math it out
// ok well X is always possible, how about X + 1 (etc.)
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 600 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 38 ms 8024 KB Output is correct
8 Incorrect 0 ms 344 KB Output isn't correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Incorrect 1 ms 348 KB Output isn't correct
15 Correct 0 ms 344 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 0 ms 344 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 0 ms 344 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 0 ms 344 KB Output is correct
25 Correct 0 ms 344 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 3 ms 1880 KB Output is correct
34 Correct 4 ms 1880 KB Output is correct
35 Correct 129 ms 1992 KB Output is correct
36 Correct 4 ms 2148 KB Output is correct
37 Correct 5 ms 2136 KB Output is correct
38 Correct 196 ms 2392 KB Output is correct
39 Correct 5 ms 2648 KB Output is correct
40 Correct 6 ms 2652 KB Output is correct
41 Correct 279 ms 3088 KB Output is correct
42 Correct 6 ms 3416 KB Output is correct
43 Correct 8 ms 3416 KB Output is correct
44 Correct 416 ms 3664 KB Output is correct
45 Correct 8 ms 3928 KB Output is correct
46 Correct 9 ms 3932 KB Output is correct
47 Correct 535 ms 4428 KB Output is correct
48 Correct 9 ms 4696 KB Output is correct
49 Correct 11 ms 4696 KB Output is correct
50 Correct 695 ms 5140 KB Output is correct
51 Correct 11 ms 5504 KB Output is correct
52 Correct 12 ms 5464 KB Output is correct
53 Correct 917 ms 6096 KB Output is correct
54 Correct 12 ms 6232 KB Output is correct
55 Correct 14 ms 6232 KB Output is correct
56 Execution timed out 1026 ms 6804 KB Time limit exceeded
57 Correct 14 ms 7000 KB Output is correct
58 Correct 17 ms 7000 KB Output is correct
59 Execution timed out 1045 ms 7580 KB Time limit exceeded
60 Correct 16 ms 8024 KB Output is correct
61 Correct 19 ms 8024 KB Output is correct
62 Execution timed out 1042 ms 9044 KB Time limit exceeded
63 Correct 37 ms 8024 KB Output is correct
64 Correct 40 ms 8016 KB Output is correct
65 Correct 38 ms 8016 KB Output is correct
66 Correct 40 ms 8272 KB Output is correct
67 Incorrect 33 ms 7844 KB Output isn't correct
68 Correct 29 ms 7896 KB Output is correct
69 Correct 33 ms 8028 KB Output is correct
70 Correct 32 ms 8016 KB Output is correct
71 Correct 27 ms 8016 KB Output is correct
72 Correct 30 ms 8024 KB Output is correct
73 Correct 26 ms 8016 KB Output is correct
74 Correct 60 ms 8136 KB Output is correct
75 Correct 28 ms 8024 KB Output is correct
76 Correct 26 ms 8024 KB Output is correct
77 Correct 26 ms 8024 KB Output is correct
78 Incorrect 27 ms 8028 KB Output isn't correct
79 Correct 289 ms 8328 KB Output is correct
80 Correct 44 ms 8024 KB Output is correct
81 Correct 31 ms 8024 KB Output is correct
82 Correct 82 ms 8188 KB Output is correct
83 Correct 32 ms 8024 KB Output is correct
84 Correct 79 ms 8132 KB Output is correct
85 Correct 142 ms 8272 KB Output is correct
86 Correct 186 ms 8428 KB Output is correct
87 Correct 47 ms 7920 KB Output is correct
88 Correct 105 ms 8024 KB Output is correct
89 Correct 351 ms 8272 KB Output is correct
90 Correct 33 ms 8024 KB Output is correct
91 Correct 52 ms 8016 KB Output is correct
92 Correct 45 ms 8016 KB Output is correct