Submission #838466

# Submission time Handle Problem Language Result Execution time Memory
838466 2023-08-27T05:30:28 Z Mathandski Robot (JOI21_ho_t4) C++17
100 / 100
931 ms 85372 KB
#include <bits/stdc++.h> 
using namespace std;
#define pb push_back 
#define is insert
#define ll long long
#define V vector
#define MS multiset
#define PL pair<ll, ll>
#define F first
#define S second
#define PQ priority_queue
#define f0r(i, begin, end) for (ll i = begin; i < end; i ++) 
#define For(i, end, begin) for (ll i = end; i > begin; i --) 
#define all(x) x.begin(), x.end()
#define INF 1000000000000000000
#define inf 1000000000
#define MOD 1000000007
#define len(x) (ll)x.size()
#define fileread(file) ifstream fin; fin.open((string)file + ".in"); ofstream fout; fout.open((string)file + ".out")
#define fastio ios_base::sync_with_stdio(0LL); cin.tie(nullptr)
template<typename T> istream& operator>>(istream& in, V<T>& a) {for(auto &x : a) in >> x; return in;};
template<typename T> ostream& operator<<(ostream& out, V<T>& a) {for(auto &x : a) out << x << ' '; return out;};

const ll MAX_N = 1e5 + 3 ; 
ll N, M;
map<ll, V<PL>> conn[MAX_N];
map<ll, ll> psum[MAX_N];

ll dp[MAX_N];
map<ll, ll> dp2[MAX_N];

int main () {
	cin >> N >> M;
	f0r (i, 0, M) {
		ll a, b, c, d; 
		cin >> a >> b >> c >> d; a --; b --;
		conn[a][c].pb({b, d});
		conn[b][c].pb({a, d});
		psum[a][c] += d; psum[b][c] += d;
	}

	f0r (i, 0, N) {
		dp[i] = INF;
	}
	
	using T = tuple<ll, ll, ll>;
	priority_queue<T, vector<T>, greater<T>> pq;
	dp[0] = 0;  
	pq.push({0, 0, -1});

	while (pq.size()) {
		ll cdist, node, prev;
		tie(cdist, node, prev) = pq.top();
		pq.pop();

		if (prev != -1) {
			if (dp2[node][prev] != cdist) continue;
			for (auto p : conn[node][prev]) {
				ll case1 = psum[node][prev] - p.S + cdist;
				if (case1 < dp[p.F]) {
					pq.push({dp[p.F] = case1, p.F, -1});
				}
			}
		}
		else {
			if (cdist != dp[node]) continue;
			for (auto i : conn[node]) {
				for (auto p : i.S) {
					ll case1 = min(psum[node][i.F] - p.S, p.S) + cdist;
					if (case1 < dp[p.F]) {
						pq.push({dp[p.F] = case1, p.F, -1});
					}

					ll case2 = cdist;
					if (dp2[p.F].find(i.F) == dp2[p.F].end()) {
						pq.push({dp2[p.F][i.F] = case2, p.F, i.F});
					}
					else if (case2 < dp2[p.F][i.F]) {
						pq.push({dp2[p.F][i.F] = case2, p.F, i.F});
					}
				}
			}
		}
	}
	if (dp[N - 1] == INF) {
		cout << -1 << endl;
	}
	else {
		cout << dp[N - 1] << endl;
	}
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 14292 KB Output is correct
2 Correct 7 ms 14292 KB Output is correct
3 Correct 7 ms 14292 KB Output is correct
4 Correct 6 ms 14292 KB Output is correct
5 Correct 6 ms 14420 KB Output is correct
6 Correct 6 ms 14412 KB Output is correct
7 Correct 8 ms 14540 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 10 ms 15060 KB Output is correct
10 Correct 10 ms 14920 KB Output is correct
11 Correct 9 ms 14800 KB Output is correct
12 Correct 9 ms 14720 KB Output is correct
13 Correct 8 ms 14804 KB Output is correct
14 Correct 9 ms 14800 KB Output is correct
15 Correct 9 ms 14668 KB Output is correct
16 Correct 8 ms 14676 KB Output is correct
17 Correct 8 ms 14796 KB Output is correct
18 Correct 7 ms 14548 KB Output is correct
19 Correct 11 ms 14664 KB Output is correct
20 Correct 8 ms 14624 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 169 ms 34576 KB Output is correct
2 Correct 77 ms 24616 KB Output is correct
3 Correct 189 ms 31816 KB Output is correct
4 Correct 103 ms 27792 KB Output is correct
5 Correct 921 ms 83324 KB Output is correct
6 Correct 711 ms 72728 KB Output is correct
7 Correct 370 ms 55092 KB Output is correct
8 Correct 435 ms 50824 KB Output is correct
9 Correct 455 ms 50792 KB Output is correct
10 Correct 367 ms 47956 KB Output is correct
11 Correct 159 ms 32652 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 14292 KB Output is correct
2 Correct 7 ms 14292 KB Output is correct
3 Correct 7 ms 14292 KB Output is correct
4 Correct 6 ms 14292 KB Output is correct
5 Correct 6 ms 14420 KB Output is correct
6 Correct 6 ms 14412 KB Output is correct
7 Correct 8 ms 14540 KB Output is correct
8 Correct 8 ms 14420 KB Output is correct
9 Correct 10 ms 15060 KB Output is correct
10 Correct 10 ms 14920 KB Output is correct
11 Correct 9 ms 14800 KB Output is correct
12 Correct 9 ms 14720 KB Output is correct
13 Correct 8 ms 14804 KB Output is correct
14 Correct 9 ms 14800 KB Output is correct
15 Correct 9 ms 14668 KB Output is correct
16 Correct 8 ms 14676 KB Output is correct
17 Correct 8 ms 14796 KB Output is correct
18 Correct 7 ms 14548 KB Output is correct
19 Correct 11 ms 14664 KB Output is correct
20 Correct 8 ms 14624 KB Output is correct
21 Correct 169 ms 34576 KB Output is correct
22 Correct 77 ms 24616 KB Output is correct
23 Correct 189 ms 31816 KB Output is correct
24 Correct 103 ms 27792 KB Output is correct
25 Correct 921 ms 83324 KB Output is correct
26 Correct 711 ms 72728 KB Output is correct
27 Correct 370 ms 55092 KB Output is correct
28 Correct 435 ms 50824 KB Output is correct
29 Correct 455 ms 50792 KB Output is correct
30 Correct 367 ms 47956 KB Output is correct
31 Correct 159 ms 32652 KB Output is correct
32 Correct 173 ms 28584 KB Output is correct
33 Correct 163 ms 30292 KB Output is correct
34 Correct 467 ms 50536 KB Output is correct
35 Correct 309 ms 41816 KB Output is correct
36 Correct 317 ms 46960 KB Output is correct
37 Correct 389 ms 50488 KB Output is correct
38 Correct 384 ms 61352 KB Output is correct
39 Correct 214 ms 32232 KB Output is correct
40 Correct 451 ms 52080 KB Output is correct
41 Correct 483 ms 52332 KB Output is correct
42 Correct 520 ms 61140 KB Output is correct
43 Correct 232 ms 37016 KB Output is correct
44 Correct 390 ms 43048 KB Output is correct
45 Correct 373 ms 47556 KB Output is correct
46 Correct 323 ms 48060 KB Output is correct
47 Correct 334 ms 49884 KB Output is correct
48 Correct 931 ms 85372 KB Output is correct