oj.uz

Submission #203858

# Submission time Handle Problem Language Result Execution time Memory
203858 2020-02-22T16:17:55 Z staniewzki Olympic Bus (JOI20_ho_t4) C++17
100 / 100
 996 ms 2808 KB 
#include<bits/stdc++.h>
using namespace std;
 
ostream& operator<<(ostream &out, string str) {
	for(char c : str) out << c;
	return out;
}
 
template<class L, class R> ostream& operator<<(ostream &out, pair<L, R> p) {
	return out << "(" << p.first << ", " << p.second << ")";
}
 
template<class T> auto operator<<(ostream &out, T a) -> decltype(a.begin(), out) {
	out << "{";
	for(auto it = a.begin(); it != a.end(); it = next(it))
		out << (it != a.begin() ? ", " : "") << *it;
	return out << "}";
}
 
void dump() { cerr << "\n"; }
template<class T, class... Ts> void dump(T a, Ts... x) {
	cerr << a << ", ";
	dump(x...);
}
 
#ifdef DEBUG
#  define debug(...) cerr << "[" #__VA_ARGS__ "]: ", dump(__VA_ARGS__)
#else
#  define debug(...) false
#endif
 
#define REP(i, n) for(int i = 0; i < n; i++)
#define FOR(i, a, b) for(int i = a; i <= b; i++)
#define ST first
#define ND second
 
template<class T> int size(T && a) { return a.size(); }
 
using LL = long long;
using PII = pair<int, int>;

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

	int n, m;
	cin >> n >> m;

	vector<int> a(m), b(m), c(m), d(m);
	vector<vector<PII>> g(n), r(n);
	REP(i, m) {
		cin >> a[i] >> b[i] >> c[i] >> d[i];
		a[i]--, b[i]--;
		g[a[i]].emplace_back(b[i], i);
		r[b[i]].emplace_back(a[i], i);
	}

	vector<bool> on_path(m);
	auto dijkstra = [&](vector<vector<PII>> &adj, int source, int banned, bool mark) {
		vector<int> dst(n, 1e9), last(n, -1);
		priority_queue<PII> Q;
		dst[source] = 0;
		Q.emplace(0, source);
		while(!Q.empty()) {
			int d, v;
			tie(d, v) = Q.top();
			Q.pop();
			if(-d != dst[v]) continue;
			for(auto &[u, e] : adj[v]) {
				if(banned == e) continue;
				if(dst[u] > dst[v] + c[e]) {
					if(mark) last[u] = e;
					dst[u] = dst[v] + c[e];
					Q.emplace(-dst[u], u);
				}
			}
		}
		REP(i, n) if(last[i] != -1)
			on_path[last[i]] = true;
		return dst;
	};

	auto norm_source = dijkstra(g, 0, -1, true);
	auto norm_sink = dijkstra(g, n - 1, -1, true);
	auto rev_source = dijkstra(r, 0, -1, false);
	auto rev_sink = dijkstra(r, n - 1, -1, false);

	auto add_edge = [&](int i) {
		g[b[i]].emplace_back(a[i], size(a));
		r[a[i]].emplace_back(b[i], size(b));
		a.emplace_back(b[i]);
		b.emplace_back(a[i]);
		c.emplace_back(c[i]);
	};

	auto pop_edge = [&](int i) {
		g[b[i]].pop_back();
		r[a[i]].pop_back();
		a.pop_back();
		b.pop_back();
		c.pop_back();
	};

	LL ans = norm_source[n - 1] + norm_sink[0];

	REP(i, m) {
		if(on_path[i]) {
			add_edge(i);
			auto source = dijkstra(g, 0, i, false);
			auto sink = dijkstra(g, n - 1, i, false);
			ans = min(ans, (LL) source[n - 1] + sink[0] + d[i]);
			pop_edge(i);
		}
		else {
			int source = min(norm_source[n - 1], norm_source[b[i]] + c[i] + rev_sink[a[i]]);
			int sink = min(norm_sink[0], norm_sink[b[i]] + c[i] + rev_source[a[i]]);
			ans = min(ans, (LL) source + sink + d[i]);
		}
	}

	if(ans >= 1e9) ans = -1;
	cout << ans << "\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 22 ms 504 KB Output is correct
4 Correct 25 ms 380 KB Output is correct
5 Correct 6 ms 504 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 25 ms 376 KB Output is correct
11 Correct 29 ms 380 KB Output is correct
12 Correct 28 ms 376 KB Output is correct
13 Correct 8 ms 376 KB Output is correct
14 Correct 15 ms 376 KB Output is correct
15 Correct 13 ms 248 KB Output is correct
16 Correct 14 ms 464 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 2680 KB Output is correct
2 Correct 149 ms 2680 KB Output is correct
3 Correct 148 ms 2680 KB Output is correct
4 Correct 20 ms 504 KB Output is correct
5 Correct 11 ms 376 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 53 ms 2612 KB Output is correct
10 Correct 50 ms 2612 KB Output is correct
11 Correct 107 ms 2680 KB Output is correct
12 Correct 104 ms 2672 KB Output is correct
13 Correct 100 ms 2680 KB Output is correct
14 Correct 85 ms 2808 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 376 KB Output is correct
2 Correct 6 ms 376 KB Output is correct
3 Correct 99 ms 2044 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 109 ms 2612 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 44 ms 2612 KB Output is correct
9 Correct 51 ms 2612 KB Output is correct
10 Correct 82 ms 2612 KB Output is correct
11 Correct 77 ms 2608 KB Output is correct
12 Correct 87 ms 2680 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 256 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 5 ms 376 KB Output is correct
17 Correct 5 ms 376 KB Output is correct
18 Correct 5 ms 376 KB Output is correct
19 Correct 89 ms 2684 KB Output is correct
20 Correct 80 ms 2680 KB Output is correct
21 Correct 85 ms 2608 KB Output is correct
22 Correct 87 ms 2636 KB Output is correct

Subtask #4
63.0 / 63.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 376 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 22 ms 504 KB Output is correct
4 Correct 25 ms 380 KB Output is correct
5 Correct 6 ms 504 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 376 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 25 ms 376 KB Output is correct
11 Correct 29 ms 380 KB Output is correct
12 Correct 28 ms 376 KB Output is correct
13 Correct 8 ms 376 KB Output is correct
14 Correct 15 ms 376 KB Output is correct
15 Correct 13 ms 248 KB Output is correct
16 Correct 14 ms 464 KB Output is correct
17 Correct 149 ms 2680 KB Output is correct
18 Correct 149 ms 2680 KB Output is correct
19 Correct 148 ms 2680 KB Output is correct
20 Correct 20 ms 504 KB Output is correct
21 Correct 11 ms 376 KB Output is correct
22 Correct 5 ms 376 KB Output is correct
23 Correct 5 ms 376 KB Output is correct
24 Correct 5 ms 376 KB Output is correct
25 Correct 53 ms 2612 KB Output is correct
26 Correct 50 ms 2612 KB Output is correct
27 Correct 107 ms 2680 KB Output is correct
28 Correct 104 ms 2672 KB Output is correct
29 Correct 100 ms 2680 KB Output is correct
30 Correct 85 ms 2808 KB Output is correct
31 Correct 14 ms 376 KB Output is correct
32 Correct 6 ms 376 KB Output is correct
33 Correct 99 ms 2044 KB Output is correct
34 Correct 5 ms 376 KB Output is correct
35 Correct 109 ms 2612 KB Output is correct
36 Correct 5 ms 376 KB Output is correct
37 Correct 5 ms 376 KB Output is correct
38 Correct 44 ms 2612 KB Output is correct
39 Correct 51 ms 2612 KB Output is correct
40 Correct 82 ms 2612 KB Output is correct
41 Correct 77 ms 2608 KB Output is correct
42 Correct 87 ms 2680 KB Output is correct
43 Correct 5 ms 376 KB Output is correct
44 Correct 5 ms 256 KB Output is correct
45 Correct 5 ms 376 KB Output is correct
46 Correct 5 ms 376 KB Output is correct
47 Correct 5 ms 376 KB Output is correct
48 Correct 5 ms 376 KB Output is correct
49 Correct 89 ms 2684 KB Output is correct
50 Correct 80 ms 2680 KB Output is correct
51 Correct 85 ms 2608 KB Output is correct
52 Correct 87 ms 2636 KB Output is correct
53 Correct 156 ms 2680 KB Output is correct
54 Correct 171 ms 2736 KB Output is correct
55 Correct 159 ms 2612 KB Output is correct
56 Correct 23 ms 376 KB Output is correct
57 Correct 22 ms 376 KB Output is correct
58 Correct 109 ms 2104 KB Output is correct
59 Correct 122 ms 2136 KB Output is correct
60 Correct 164 ms 2044 KB Output is correct
61 Correct 103 ms 2040 KB Output is correct
62 Correct 117 ms 2104 KB Output is correct
63 Correct 164 ms 2168 KB Output is correct
64 Correct 727 ms 2364 KB Output is correct
65 Correct 766 ms 2368 KB Output is correct
66 Correct 996 ms 2344 KB Output is correct
67 Correct 23 ms 2036 KB Output is correct
68 Correct 56 ms 2612 KB Output is correct
69 Correct 53 ms 2680 KB Output is correct
70 Correct 112 ms 2680 KB Output is correct
71 Correct 120 ms 2612 KB Output is correct
72 Correct 109 ms 2612 KB Output is correct
73 Correct 123 ms 2680 KB Output is correct
74 Correct 106 ms 2740 KB Output is correct