### Problem Statement

Jane tries her best to stay fit. Knowing this, her sister decided to play a prank on Jane: after Jane's old scale broke down, her sister got her a new scale that shows the square of a person's weight, instead of the real weight.

Not noticing the change, Jane has been using the scale for a while. One morning she screamed "Oh no! I gained apparentGain pounds!". Given an int apparentGain (the difference between the square of Jane's current weight and the square of her previous weight), return a int[] containing Jane's possible real weights after the latest measurement, sorted in ascending order.

All weights (displayed and real, previous and current) are positive integers.

### Definition

 Class: Prank Method: realWeight Parameters: int Returns: int[] Method signature: int[] realWeight(int apparentGain) (be sure your method is public)

### Constraints

-apparentGain will be between 1 and 100000, inclusive.

### Examples

0)

 `233`
`Returns: {117 }`
 If Jane had previously weighed 116 pounds, the scale would have shown 116^2 = 13456. If she gained 1 pound, the scale would show 117^2 = 13689, for an apparent gain of 13689 - 13456 = 233.
1)

 `15`
`Returns: {4, 8 }`
 Assuming in this example Jane is actually a small animal, she could have gone from 1 to 4 or from 7 to 8.
2)

 `1440`
`Returns: {38, 39, 42, 46, 49, 53, 66, 77, 94, 123, 182, 361 }`
3)

 `100000`
`Returns: {325, 350, 550, 665, 1025, 1270, 2510, 3133, 5005, 6254, 12502, 25001 }`
 This is the largest input.
4)

 `93301`
`Returns: {3595, 46651 }`
 Watch out for overflow!
5)

 `16`
`Returns: {5 }`

#### Problem url:

http://www.topcoder.com/stat?c=problem_statement&pm=8199

#### Problem stats url:

http://www.topcoder.com/tc?module=ProblemDetail&rd=10808&pm=8199

lovro

#### Testers:

PabloGilberto , Olexiy , ivan_metelsky

Simple Math