Arranging Coins
Description
You have a total of n coins that you want to form in a staircase shape, where every k-th row must have exactly k coins.
Given n, find the total number of full staircase rows that can be formed.
n is a non-negative integer and fits within the range of a 32-bit signed integer.
Example 1:
n = 5The coins can form the following rows: ¤ ¤ ¤ ¤ ¤
Because the 3rd row is incomplete, we return 2.
Example 2:
n = 8The coins can form the following rows: ¤ ¤ ¤ ¤ ¤ ¤ ¤ ¤
Because the 4th row is incomplete, we return 3.
Solution(javascript)
/**
* @param {number} n
* @return {number}
*/
const arrangeCoins = (n) => {
let sum = 0
let counter = 0
while (sum < n) {
counter += 1
sum += counter
}
return sum === n ? counter: counter - 1
}