Limit exceeding sum

Write a program that finds the first value \(N\) for which the sum \(0 + 1 + 2 + 3 + ... + N\) exceeds a LIMIT value that is entered by keyboard. Run the following test cases to test your program:

**test case ID**  | **input**  | **expected output**
---------| -------| -----------------
1    |    0    |   1
2    |     1    |   2
3    |     25   |   7
4    |     -5  |    0
5    |    -450  |  0
6     |    45   |   10

Insist that the students test their programs by giving them example
test cases in a table. We have explicitly added 0 and negative
numbers to make sure these are tested.