279. Perfect Squares

Question

Given a positive integer n, find the least number of perfect square numbers (for example, 1, 4, 9, 16, ...) which sum to n.

For example, given n = 12, return 3 because 12 = 4 + 4 + 4; given n = 13, return 2 because 13 = 4 + 9.

Quick Hints

  • Dynamic Programming
  • sol[i] = Math.min(sol[i], sol[i - j * j] + 1)

Solution

Time complexity

O (n ^ 2)

Space complexity

O(n)

Notes