Arranging Coins

You have n coins and you want to build a staircase with these coins. The staircase consists of k rows where the i^th row has exactly i coins. The last row of the staircase may be incomplete.

Given the integer n, return the number of complete rows of the staircase you will build.

Example 1
Inputn = 5
Output2
Because the 3^rd row is incomplete, we return 2.
Example 2
Inputn = 8
Output3
Because the 4^th row is incomplete, we return 3.

Constraints

  • 1 <= n <= 2^31 - 1

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