Leetcode Problem 441. Arranging Coins

441. Arranging Coins

Leetcode Solutions

Mathematical Approach to Solve the Coin Staircase Problem

  1. Understand that the sum of coins needed to build k complete rows is (k * (k + 1)) / 2.
  2. Set up the inequality (k * (k + 1)) / 2 <= n to find the maximum k.
  3. Rearrange the inequality to (k + 0.5)^2 - 0.25 <= 2 * n.
  4. Take the square root of both sides to get k + 0.5 <= sqrt(2 * n + 0.25).
  5. Subtract 0.5 from both sides to isolate k.
  6. Use floor division or the floor function to ensure k is an integer, since we cannot have a fraction of a row.
  7. Return the value of k as the number of complete rows that can be built.
UML Thumbnail

Binary Search Approach to Solve the Coin Staircase Problem

Ask Question

Programming Language
image/screenshot of info(optional)
Full Screen
Loading...

Suggested Answer

Answer
Full Screen
Copy Answer Code
Loading...