Hurdle Game Problem Statement

Kevin is playing a hurdle game where he must jump over hurdles to clear levels. Each level ‘i’ consists of ‘i’ hurdles (e.g., Level 6 has 6 hurdles).

Given the total number of hurdles Kevin has jumped, determine how many levels he has cleared.

Input:

The first line contains an integer ‘T’, the number of test cases.
Each test case contains an integer ‘N’, representing the total number of hurdles jumped by Kevin.

Output:

For each test case, output an integer denoting the number of levels Kevin has cleared.
Print the result for each test case on a separate line.

Example:

Input:
T = 1
N = 6
Output:
3
Explanation:

Kevin can clear levels as follows:
Level 1: 1 hurdle
Level 2: 3 hurdles (1+2)
Level 3: 6 hurdles (1+2+3)
Kevin has jumped 6 hurdles in total, so he has cleared 3 levels.

Constraints:

  • 1 <= T <= 50
  • 0 <= N <= 10^8
  • Time limit: 1 sec
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