oj.uz

Submission #391188

# Submission time Handle Problem Language Result Execution time Memory
391188 2021-04-18T07:29:44 Z ritul_kr_singh Commuter Pass (JOI18_commuter_pass) C++17
100 / 100
 406 ms 24628 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define sp << ' ' <<
#define nl << '\n'

const int MAXN = 1e5, INF = 1e18;

vector<vector<pair<int, int>>> g(MAXN);
vector<int> distS(MAXN, INF), distT(MAXN, INF), distA(MAXN, INF), distB(MAXN, INF);

int n, m, s, t, a, b, x, y, z;

void dijkstra(int r, vector<int> &dist){
	priority_queue<pair<int, int>> q;
	dist[r] = 0;
	q.emplace(0, r);
	while(!q.empty()){
		int u = q.top().second, d = -q.top().first; q.pop();
		if(d != dist[u]) continue;
		for(auto &e : g[u]){
			int v = e.first, w = e.second;
			if(dist[v] > d + w){
				dist[v] = d + w;
				q.emplace(-(d + w), v);
			}
		}
	}
}


signed main(){
	cin.tie(0)->sync_with_stdio(0);
	cin >> n >> m >> s >> t >> a >> b;
	--s, --t, --a, --b;

	while(m--){
		cin >> x >> y >> z; --x, --y;
		g[x].emplace_back(y, z);
		g[y].emplace_back(x, z);
	}

	dijkstra(s, distS);
	dijkstra(t, distT);
	dijkstra(a, distA);
	dijkstra(b, distB);

	int shortest = distS[t];

	vector<array<int, 2>> dp(n, {INF, INF});

	vector<pair<int, int>> onPath;
	for(int i=0; i<n; ++i){
		if(distS[i] + distT[i] == shortest) onPath.emplace_back(distS[i], i);
	}

	int ans = distA[b];

	sort(onPath.begin(), onPath.end());

	for(auto &i : onPath){
		int u = i.second;
		dp[u][0] = min(dp[u][0], distA[u]);
		dp[u][1] = min(dp[u][1], distB[u]);

		ans = min(ans, dp[u][0] + distB[u]);
		ans = min(ans, dp[u][1] + distA[u]);

		for(auto &e : g[u]){
			int v = e.first, w = e.second;
			dp[v][0] = min(dp[v][0], dp[u][0]);
			dp[v][1] = min(dp[v][1], dp[u][1]);
		}
	}

	cout << ans;
}

Compilation message

commuter_pass.cpp: In function 'int main()':
commuter_pass.cpp:70:21: warning: unused variable 'w' [-Wunused-variable]
   70 |    int v = e.first, w = e.second;
      |                     ^

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 330 ms 23112 KB Output is correct
2 Correct 334 ms 22172 KB Output is correct
3 Correct 345 ms 24628 KB Output is correct
4 Correct 321 ms 22996 KB Output is correct
5 Correct 340 ms 23024 KB Output is correct
6 Correct 337 ms 23252 KB Output is correct
7 Correct 354 ms 23316 KB Output is correct
8 Correct 332 ms 22940 KB Output is correct
9 Correct 332 ms 22392 KB Output is correct
10 Correct 287 ms 22312 KB Output is correct
11 Correct 128 ms 15676 KB Output is correct
12 Correct 354 ms 22216 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 351 ms 22332 KB Output is correct
2 Correct 354 ms 22384 KB Output is correct
3 Correct 348 ms 22076 KB Output is correct
4 Correct 353 ms 22144 KB Output is correct
5 Correct 361 ms 22872 KB Output is correct
6 Correct 337 ms 23356 KB Output is correct
7 Correct 374 ms 24280 KB Output is correct
8 Correct 349 ms 22356 KB Output is correct
9 Correct 372 ms 22908 KB Output is correct
10 Correct 348 ms 22116 KB Output is correct
11 Correct 147 ms 15804 KB Output is correct
12 Correct 347 ms 23648 KB Output is correct

Subtask #3
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 7500 KB Output is correct
2 Correct 4 ms 5836 KB Output is correct
3 Correct 4 ms 5820 KB Output is correct
4 Correct 18 ms 9280 KB Output is correct
5 Correct 12 ms 7500 KB Output is correct
6 Correct 4 ms 5824 KB Output is correct
7 Correct 5 ms 5964 KB Output is correct
8 Correct 6 ms 5964 KB Output is correct
9 Correct 5 ms 5836 KB Output is correct
10 Correct 12 ms 7500 KB Output is correct
11 Correct 4 ms 5836 KB Output is correct
12 Correct 5 ms 5840 KB Output is correct
13 Correct 4 ms 5836 KB Output is correct
14 Correct 4 ms 5836 KB Output is correct
15 Correct 4 ms 5836 KB Output is correct

Subtask #4
45.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 330 ms 23112 KB Output is correct
2 Correct 334 ms 22172 KB Output is correct
3 Correct 345 ms 24628 KB Output is correct
4 Correct 321 ms 22996 KB Output is correct
5 Correct 340 ms 23024 KB Output is correct
6 Correct 337 ms 23252 KB Output is correct
7 Correct 354 ms 23316 KB Output is correct
8 Correct 332 ms 22940 KB Output is correct
9 Correct 332 ms 22392 KB Output is correct
10 Correct 287 ms 22312 KB Output is correct
11 Correct 128 ms 15676 KB Output is correct
12 Correct 354 ms 22216 KB Output is correct
13 Correct 351 ms 22332 KB Output is correct
14 Correct 354 ms 22384 KB Output is correct
15 Correct 348 ms 22076 KB Output is correct
16 Correct 353 ms 22144 KB Output is correct
17 Correct 361 ms 22872 KB Output is correct
18 Correct 337 ms 23356 KB Output is correct
19 Correct 374 ms 24280 KB Output is correct
20 Correct 349 ms 22356 KB Output is correct
21 Correct 372 ms 22908 KB Output is correct
22 Correct 348 ms 22116 KB Output is correct
23 Correct 147 ms 15804 KB Output is correct
24 Correct 347 ms 23648 KB Output is correct
25 Correct 11 ms 7500 KB Output is correct
26 Correct 4 ms 5836 KB Output is correct
27 Correct 4 ms 5820 KB Output is correct
28 Correct 18 ms 9280 KB Output is correct
29 Correct 12 ms 7500 KB Output is correct
30 Correct 4 ms 5824 KB Output is correct
31 Correct 5 ms 5964 KB Output is correct
32 Correct 6 ms 5964 KB Output is correct
33 Correct 5 ms 5836 KB Output is correct
34 Correct 12 ms 7500 KB Output is correct
35 Correct 4 ms 5836 KB Output is correct
36 Correct 5 ms 5840 KB Output is correct
37 Correct 4 ms 5836 KB Output is correct
38 Correct 4 ms 5836 KB Output is correct
39 Correct 4 ms 5836 KB Output is correct
40 Correct 313 ms 23068 KB Output is correct
41 Correct 382 ms 22444 KB Output is correct
42 Correct 341 ms 22304 KB Output is correct
43 Correct 170 ms 16980 KB Output is correct
44 Correct 152 ms 16868 KB Output is correct
45 Correct 320 ms 24220 KB Output is correct
46 Correct 371 ms 23972 KB Output is correct
47 Correct 352 ms 22984 KB Output is correct
48 Correct 176 ms 16312 KB Output is correct
49 Correct 280 ms 22720 KB Output is correct
50 Correct 406 ms 24496 KB Output is correct
51 Correct 322 ms 24204 KB Output is correct