Arrays and Iteration
Find Maximum
Scan the array once, keeping the largest value seen so far. The replay highlights when a candidate replaces the running maximum.
Algorithm
Basic Implementation
basic.ts
const arr: number[] = [3, 1, 4, 1, 5, 9, 2, 6];
let best: number = arr[0];
for (let i = 1; i < arr.length; i++) {
if (arr[i] > best) {
best = arr[i];
}
}
console.log(best);
Complexity
- Time: O(n)
- Space: O(1)
Implementation notes
- TypeScript declares the input as
const arr: number[]and the running value aslet best: number, so the checked source scans finite JavaScriptNumbervalues through TypeScript'snumbertype. - The implementation uses an indexed
forloop rather thanreduce, so the state stays in the localbestbinding seeded fromarr[0], witharr[i]as the current value. - Each
arr[i] > bestcomparison is numeric. When true,best = arr[i]rebinds the localnumber; the array itself is never mutated. - The replay shows replacements at
i=2(4),i=4(5), andi=5(9), while values1,1,2, and6leavebestunchanged. console.log(best)prints9. Aside from the initialnumber[], the scan only updates scalar bindings and creates no lesson-visible heap allocation.
execution replay
The checked-in replay follows the language-neutral state table for `array-find-max`.
cross-language comparison
This TypeScript DSA version keeps the same data and final output as every other DSA book in this wave.