713152. Maximum Weight Node
Maximum Weight Node
Slug: maximum-weight-node--170645 Difficulty: Easy Id: 713152 Topic Tags: Arrays, Graph, Data Structures Company Tags: JUSPAY
Summary
Given a connected graph and its weights, find the node with the maximum weight. The graph is represented as an adjacency list, where each node is associated with its neighbors and their corresponding weights.
The key concepts involved in this problem are arrays, graphs, and data structures.
Detailed Explanation
To solve this problem, we can use a simple approach: iterate through all nodes, calculate the total weight of each node by summing up the weights of its neighbors, and keep track of the node with the maximum weight.
Here's a step-by-step breakdown of the solution:
- Initialize a variable
max_weightto store the maximum weight found so far. - Iterate through all nodes in the graph.
- For each node, calculate its total weight by summing up the weights of its neighbors.
- If the calculated weight is greater than
max_weight, updatemax_weight. - After iterating through all nodes, return the node with the maximum weight.
The time complexity of this solution is O(n + m), where n is the number of nodes and m is the total number of edges in the graph. The space complexity is O(1) since we only need to keep track of a single variable max_weight.
Here's an ASCII art diagram representing the graph:
A -- 2 --> B
| |
C -- 3 --> D
| |
E -- 4 --> F
In this example, the maximum weight node is E with a total weight of 7 (4 + 3).
Optimized Solutions
Java
public int maxWeightNode(int[][] graph) {
int maxWeight = 0;
for (int i = 0; i < graph.length; i++) {
int weight = 0;
for (int j = 0; j < graph[i].length; j++) {
if (graph[i][j] > 0) {
weight += graph[i][j];
}
}
if (weight > maxWeight) {
maxWeight = weight;
}
}
return maxWeight;
}