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tech-interview-handbook/algorithms/math.md

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Math

  • Create a square root function.
  • Given a string such as "123" or "67", write a function to output the number represented by the string without using casting.
  • Make a program that can print out the text form of numbers from 1 - 1000 (ex. 20 is "twenty", 105 is "one hundred and five").
  • Write a function that parses Roman numerals.
    • E.g. XIV returns 14.
  • Write in words for a given digit.
    • E.g. 123 returns one hundred and twenty three.
  • Given a number N, find the largest number just smaller than N that can be formed using the same digits as N.
  • Compute the square root of N without using any existing functions.
  • Given numbers represented as binary strings, and return the string containing their sum.
    • E.g. add('10010', '101') returns '10111'.
  • Take in an integer and return its english word-format.
    • E.g. 1 -> "one", -10,203 -> "negative ten thousand two hundred and three".
  • Write a function that returns values randomly, according to their weight. Suppose we have 3 elements with their weights: A (1), B (1) and C (2). The function should return A with probability 25%, B with 25% and C with 50% based on the weights.
  • Given a number, how can you get the next greater number with the same set of digits?