2022-05-14 Daily-Challenge

Today I have done leetcode's May LeetCoding Challenge with cpp.

May LeetCoding Challenge 14

Description

Network Delay Time

You are given a network of n nodes, labeled from 1 to n. You are also given times, a list of travel times as directed edges times[i] = (ui, vi, wi), where ui is the source node, vi is the target node, and wi is the time it takes for a signal to travel from source to target.

We will send a signal from a given node k. Return the time it takes for all the n nodes to receive the signal. If it is impossible for all the n nodes to receive the signal, return -1.

Example 1:

img

Input: times = [[2,1,1],[2,3,1],[3,4,1]], n = 4, k = 2
Output: 2

Example 2:

Input: times = [[1,2,1]], n = 2, k = 1
Output: 1

Example 3:

Input: times = [[1,2,1]], n = 2, k = 2
Output: -1

Constraints:

  • 1 <= k <= n <= 100
  • 1 <= times.length <= 6000
  • times[i].length == 3
  • 1 <= ui, vi <= n
  • ui != vi
  • 0 <= wi <= 100
  • All the pairs (ui, vi) are unique. (i.e., no multiple edges.)

Solution

auto speedup = [](){
  cin.tie(nullptr);
  cout.tie(nullptr);
  ios::sync_with_stdio(false);
  return 0;
}();
class Solution {
  using pi = pair<int, int>;
  vector<vector<pi>> nextJump;
  vector<int> delays;
public:
  int networkDelayTime(vector<vector<int>>& times, int n, int k) {
    nextJump.resize(n);
    delays.resize(n);
    fill(delays.begin(), delays.end(), -1);
    for(const auto &time : times) {
      nextJump[time[0] - 1].push_back({time[1] - 1, time[2]});
    }

    priority_queue<pi, vector<pi>, greater<pi>> pq;
    pq.push({0, k - 1});
    int answer = 0;
    for(int _node = 0; _node < n; ++_node) {
      while(pq.size() && delays[pq.top().second] != -1) {
        pq.pop();
      }
      if(pq.empty()) return -1;
      auto [delay, node] = pq.top();
      // cout << "Node " << node << ": " << delay << endl; 
      pq.pop();
      delays[node] = delay;
      answer = delay;
      for(const auto &[next, addDelay] : nextJump[node]) {
        if(delays[next] != -1) continue;
        pq.push({delay + addDelay, next});
      }
    }
    return answer;
  }
};

// Accepted
// 52/52 cases passed (126 ms)
// Your runtime beats 84.67 % of cpp submissions
// Your memory usage beats 50.01 % of cpp submissions (41.2 MB)