Submission #771080

# Submission time Handle Problem Language Result Execution time Memory
771080 2023-07-02T12:30:20 Z SamNguyen Robot (JOI21_ho_t4) C++14
34 / 100
3000 ms 28240 KB
#include <bits/stdc++.h>
using namespace std;
using lli = long long;

template <class T> 
using min_priority_queue = priority_queue<T, vector<T>, greater<T>>;

const lli INF = 0x1f1f1f1f1f1f1f1f;
const int MAX_N = 1e5 + 7;
const int MAX_M = 2e5 + 7;

template <class T1, class T2>
inline constexpr bool minimise(T1 &x, T2 y) {
	if (x > y) { x = y; return true; }
	return false;
}

class Edge {
private:
	int u, v, c;
	lli w;

public:
	Edge(int u = 0, int v = 0, int c = 0, lli w = 0): u(u), v(v), c(c), w(w) {}

	inline lli cost() const { return w; }
	inline pair<int, int> nodes() const { return make_pair(u, v); }
	inline int other_node(int z) const { return u ^ v ^ z; }
	inline int colour() const { return c; }

	inline int get_node(bool is_rev) const { return is_rev ? v : u; }
	inline bool is_start(int z) const { return z == u; }
};

int N, M;
Edge edge[MAX_M];
vector<int> adj[MAX_N];

void input() {
	cin >> N >> M;
	for (int i = 0; i < M; i++) {
		int u, v, c; lli w;
		cin >> u >> v >> c >> w;
		edge[i] = Edge(u, v, c, w);
		adj[u].push_back(i);
		adj[v].push_back(i);
	}

	edge[M] = Edge(0, 1, M + 1, 0);
}

lli dist[MAX_M][2][2];
bool is_locked[MAX_M][2][2];

min_priority_queue<tuple<lli, int, bool, bool>> pq;
lli sum_colour[MAX_M];

lli solve() {
	memset(dist, 0x1f, sizeof dist);
	memset(is_locked, false, sizeof is_locked);
	memset(sum_colour, 0, sizeof sum_colour);

	auto relax = [&](int i, bool is_rev, bool is_prev_mod, lli d) {
		if (minimise(dist[i][is_rev][is_prev_mod], d))
			pq.emplace(d, i, is_rev, is_prev_mod);
	};

	relax(M, 0, 0, 0);

	lli ans = INF;
	while (not pq.empty()) {
		lli cur_dist; int i; bool is_rev, is_prev_mod;
		tie(cur_dist, i, is_rev, is_prev_mod) = pq.top();
		pq.pop();

		int v = edge[i].get_node(not is_rev);
		if (v == N) 
			minimise(ans, cur_dist);

		if (is_locked[i][is_rev][is_prev_mod])
			continue;
		is_locked[i][is_rev][is_prev_mod] = true;

		for (int j : adj[v]) {
			if (j == i and is_prev_mod)
				continue;

			int c = edge[j].colour();
			sum_colour[c] += edge[j].cost();
		}

		for (int j : adj[v]) {
			if (j == i and is_prev_mod)
				continue;

			int c = edge[j].colour();
			lli w = edge[j].cost();
			bool new_is_rev = not edge[j].is_start(v);

			if (sum_colour[c] == w)
				relax(j, new_is_rev, false, cur_dist);

			relax(j, new_is_rev, true, cur_dist + w);
			relax(j, new_is_rev, false, cur_dist + sum_colour[c] - w);
		}

		for (int j : adj[v]) {
			int c = edge[j].colour();
			sum_colour[c] = 0;
		}
	}

	if (ans >= INF)
		ans = -1;
	return ans;
}

int main(void) {
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);

	input();
	cout << solve();

	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 15956 KB Output is correct
2 Correct 6 ms 15956 KB Output is correct
3 Correct 6 ms 15860 KB Output is correct
4 Correct 7 ms 15956 KB Output is correct
5 Correct 16 ms 15924 KB Output is correct
6 Correct 6 ms 15956 KB Output is correct
7 Correct 10 ms 16108 KB Output is correct
8 Correct 7 ms 16084 KB Output is correct
9 Correct 28 ms 16124 KB Output is correct
10 Correct 23 ms 16168 KB Output is correct
11 Correct 35 ms 16212 KB Output is correct
12 Correct 21 ms 16144 KB Output is correct
13 Correct 35 ms 16212 KB Output is correct
14 Correct 36 ms 16188 KB Output is correct
15 Correct 8 ms 15956 KB Output is correct
16 Correct 9 ms 15956 KB Output is correct
17 Correct 8 ms 16084 KB Output is correct
18 Correct 8 ms 15956 KB Output is correct
19 Correct 11 ms 16340 KB Output is correct
20 Correct 8 ms 15952 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 142 ms 21608 KB Output is correct
2 Correct 68 ms 18888 KB Output is correct
3 Correct 378 ms 26396 KB Output is correct
4 Correct 88 ms 19136 KB Output is correct
5 Execution timed out 3086 ms 28240 KB Time limit exceeded
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 15956 KB Output is correct
2 Correct 6 ms 15956 KB Output is correct
3 Correct 6 ms 15860 KB Output is correct
4 Correct 7 ms 15956 KB Output is correct
5 Correct 16 ms 15924 KB Output is correct
6 Correct 6 ms 15956 KB Output is correct
7 Correct 10 ms 16108 KB Output is correct
8 Correct 7 ms 16084 KB Output is correct
9 Correct 28 ms 16124 KB Output is correct
10 Correct 23 ms 16168 KB Output is correct
11 Correct 35 ms 16212 KB Output is correct
12 Correct 21 ms 16144 KB Output is correct
13 Correct 35 ms 16212 KB Output is correct
14 Correct 36 ms 16188 KB Output is correct
15 Correct 8 ms 15956 KB Output is correct
16 Correct 9 ms 15956 KB Output is correct
17 Correct 8 ms 16084 KB Output is correct
18 Correct 8 ms 15956 KB Output is correct
19 Correct 11 ms 16340 KB Output is correct
20 Correct 8 ms 15952 KB Output is correct
21 Correct 142 ms 21608 KB Output is correct
22 Correct 68 ms 18888 KB Output is correct
23 Correct 378 ms 26396 KB Output is correct
24 Correct 88 ms 19136 KB Output is correct
25 Execution timed out 3086 ms 28240 KB Time limit exceeded
26 Halted 0 ms 0 KB -