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Commit3585d12

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Sri Hari: Batch-5/Neetcode-ALL/Develop-articles (neetcode-gh#3836)
* Batch-5/Neetcode-ALL/Added-articles* Batch-5/Neetcode-ALL/Added-articles* Batch-5/Neetcode-ALL/Added-articles* Batch-5/Neetcode-ALL/Added-articles* Batch-5/Neetcode-ALL/Added-articles
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‎articles/as-far-from-land-as-possible.md

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‎articles/convert-bst-to-greater-tree.md

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‎articles/design-linked-list.md

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‎articles/even-odd-tree.md

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‎articles/find-bottom-left-tree-value.md

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‎articles/find-largest-value-in-each-tree-row.md

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‎articles/flip-equivalent-binary-trees.md

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‎articles/insertion-sort-list.md

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##1. Depth First Search
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::tabs-start
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```python
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classSolution:
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defminimumFuelCost(self,roads: list[list[int]],seats:int) ->int:
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adj= defaultdict(list)
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for src, dstin roads:
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adj[src].append(dst)
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adj[dst].append(src)
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res=0
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defdfs(node,parent):
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nonlocal res
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passengers=0
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for childin adj[node]:
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if child!= parent:
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p= dfs(child, node)
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passengers+= p
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res+= ceil(p/ seats)
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return passengers+1
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dfs(0,-1)
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return res
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```
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```java
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publicclassSolution {
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privateList<Integer>[] adj;
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privatelong res=0;
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publiclongminimumFuelCost(int[][]roads,intseats) {
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int n= roads.length+1;
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adj=newArrayList[n];
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for (int i=0; i< n; i++) {
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adj[i]=newArrayList<>();
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}
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for (int[] road: roads) {
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adj[road[0]].add(road[1]);
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adj[road[1]].add(road[0]);
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}
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dfs(0,-1, seats);
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return res;
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}
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privateintdfs(intnode,intparent,intseats) {
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int passengers=0;
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for (int child: adj[node]) {
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if (child!= parent) {
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int p= dfs(child, node, seats);
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passengers+= p;
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res+=Math.ceil((double) p/ seats);
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}
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}
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return passengers+1;
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}
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}
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```
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```cpp
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classSolution {
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private:
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vector<vector<int>> adj;
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long long res = 0;
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public:
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long long minimumFuelCost(vector<vector<int>>& roads, int seats) {
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int n = roads.size() + 1;
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adj.resize(n);
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for (auto& road : roads) {
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adj[road[0]].push_back(road[1]);
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adj[road[1]].push_back(road[0]);
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}
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dfs(0, -1, seats);
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return res;
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}
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private:
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int dfs(int node, int parent, int seats) {
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int passengers = 0;
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for (int child : adj[node]) {
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if (child != parent) {
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int p = dfs(child, node, seats);
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passengers += p;
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res += ceil((double) p / seats);
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}
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}
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return passengers + 1;
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}
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};
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```
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```javascript
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class Solution {
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/**
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* @param {number[][]} roads
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* @param {number} seats
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* @return {number}
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*/
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minimumFuelCost(roads, seats) {
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const n = roads.length + 1;
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const adj = Array.from({ length: n }, () => []);
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let res = 0;
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for (const [src, dst] of roads) {
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adj[src].push(dst);
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adj[dst].push(src);
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}
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const dfs = (node, parent) => {
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let passengers = 0;
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for (const child of adj[node]) {
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if (child !== parent) {
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let p = dfs(child, node);
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passengers += p;
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res += Math.ceil(p / seats);
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}
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}
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return passengers + 1;
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};
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dfs(0, -1);
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return res;
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}
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}
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```
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::tabs-end
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###Time & Space Complexity
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* Time complexity: $O(n)$
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* Space complexity: $O(n)$
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---
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##2. Topological Sort (Kahn's Algorithm)
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::tabs-start
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```python
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classSolution:
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defminimumFuelCost(self,roads: list[list[int]],seats:int) ->int:
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n=len(roads)+1
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adj= [[]for _inrange(n)]
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indegree= [0]* n
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passengers= [1]* n
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res=0
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for src, dstin roads:
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adj[src].append(dst)
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adj[dst].append(src)
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indegree[src]+=1
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indegree[dst]+=1
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q= deque()
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for iinrange(1, n):
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if indegree[i]==1:
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q.append(i)
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while q:
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node= q.popleft()
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res+= math.ceil(passengers[node]/ seats)
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for parentin adj[node]:
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indegree[parent]-=1
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if indegree[parent]==1and parent!=0:
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q.append(parent)
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passengers[parent]+= passengers[node]
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return res
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```
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```java
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publicclassSolution {
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publiclongminimumFuelCost(int[][]roads,intseats) {
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int n= roads.length+1;
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List<Integer>[] adj=newArrayList[n];
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int[] indegree=newint[n];
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int[] passengers=newint[n];
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Arrays.fill(passengers,1);
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long res=0;
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for (int i=0; i< n; i++) adj[i]=newArrayList<>();
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for (int[] road: roads) {
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int src= road[0], dst= road[1];
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adj[src].add(dst);
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adj[dst].add(src);
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indegree[src]++;
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indegree[dst]++;
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}
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Queue<Integer> q=newLinkedList<>();
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for (int i=1; i< n; i++) {
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if (indegree[i]==1) q.offer(i);
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}
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while (!q.isEmpty()) {
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int node= q.poll();
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res+= (int)Math.ceil((double) passengers[node]/ seats);
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for (int parent: adj[node]) {
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if (--indegree[parent]==1&& parent!=0) q.offer(parent);
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passengers[parent]+= passengers[node];
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}
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}
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return res;
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}
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}
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```
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```cpp
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classSolution {
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public:
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long long minimumFuelCost(vector<vector<int>>& roads, int seats) {
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int n = roads.size() + 1;
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vector<vector<int>> adj(n);
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vector<int> indegree(n, 0), passengers(n, 1);
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long long res = 0;
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for (auto& road : roads) {
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int src = road[0], dst = road[1];
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adj[src].push_back(dst);
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adj[dst].push_back(src);
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indegree[src]++;
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indegree[dst]++;
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}
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queue<int> q;
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for (int i =1; i < n; i++) {
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if (indegree[i] == 1) q.push(i);
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}
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while (!q.empty()) {
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int node = q.front();q.pop();
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res += ceil((double) passengers[node] / seats);
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for (int parent : adj[node]) {
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if (--indegree[parent] == 1 && parent != 0) q.push(parent);
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passengers[parent] += passengers[node];
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}
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}
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return res;
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}
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};
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```
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```javascript
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classSolution {
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/**
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*@param{number[][]}roads
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*@param{number}seats
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*@return{number}
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*/
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minimumFuelCost(roads,seats) {
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constn=roads.length+1;
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constadj=Array.from({ length: n }, ()=> []);
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constindegree=newArray(n).fill(0);
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constpassengers=newArray(n).fill(1);
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let res=0;
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for (const [src,dst]of roads) {
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adj[src].push(dst);
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adj[dst].push(src);
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indegree[src]+=1;
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indegree[dst]+=1;
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}
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constq=newQueue();
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for (let i=1; i< n; i++) {
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if (indegree[i]===1)q.push(i);
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}
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while (!q.isEmpty()) {
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constnode=q.pop();
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res+=Math.ceil(passengers[node]/ seats);
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for (constparentof adj[node]) {
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if (--indegree[parent]===1&& parent!==0)q.push(parent);
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passengers[parent]+= passengers[node];
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}
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}
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return res;
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}
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}
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```
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::tabs-end
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###Time & Space Complexity
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* Time complexity: $O(n)$
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* Space complexity: $O(n)$

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