Leetcode Problem 1201. Ugly Number III

1201. Ugly Number III

Leetcode Solutions

Binary Search on Ugly Numbers

  1. Initialize two pointers for the binary search: low as the minimum of a, b, c, and high as a sufficiently large number (e.g., 2 * 10^9).
  2. Define a helper function countUglyNumbers that takes an integer num and returns the count of ugly numbers less than or equal to num using the principle of inclusion-exclusion.
  3. Perform binary search:
    • While low is less than high:
      • Calculate mid as the average of low and high.
      • If countUglyNumbers(mid) is greater than or equal to n, update high to mid.
      • Otherwise, update low to mid + 1.
  4. Return low as the nth ugly number.
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Brute Force Simulation

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