Connecting MetaMask wallet in Blockchain / Solidity - Time & Space Complexity

Time Complexity: Connecting MetaMask wallet

O(n)

Understanding Time Complexity

When connecting a MetaMask wallet, the program interacts with the user's browser extension to request access. We want to understand how the time needed to connect changes as the number of requests or users grows.

How does the connection process scale when repeated multiple times or for many users?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

async function connectWallet() {
  if (window.ethereum) {
    try {
      const accounts = await window.ethereum.request({ method: 'eth_requestAccounts' });
      return accounts[0];
    } catch (error) {
      throw new Error('User rejected connection');
    }
  } else {
    throw new Error('MetaMask not installed');
  }
}
    

This code asks MetaMask to connect and returns the first account if successful.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Single asynchronous request to MetaMask extension.
• How many times: One request per connection attempt.

How Execution Grows With Input

The connection process involves one request regardless of the number of accounts returned or users. If you connect once, it takes one request; if you connect 10 times, it takes 10 requests.

Input Size (n)	Approx. Operations
10 connection attempts	10 requests
100 connection attempts	100 requests
1000 connection attempts	1000 requests

Pattern observation: The number of operations grows directly with the number of connection attempts.

Final Time Complexity

Time Complexity: O(n)

This means the time to connect scales linearly with how many times you try to connect.

Common Mistake

[X] Wrong: "Connecting once takes longer if the wallet has many accounts."

[OK] Correct: The connection request asks for all accounts at once, so the time depends mostly on the request itself, not the number of accounts.

Interview Connect

Understanding how asynchronous requests scale helps you explain performance in real blockchain apps. This skill shows you can reason about user interactions and external calls clearly.

Self-Check

"What if the code requested account balances for each account after connecting? How would the time complexity change?"