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###### Description

This new ride at an amusement park is very popular and runs nonstop. The original fee of this ride is `price`

, but it is determined that when using the ride for the Nth time, the fee will increase as N times of the original fee. That is, if the original fee is 100, it will be 200 for the second time, and 300 for the third time.

Write a function `solution`

to return the insufficient `money`

when the ride is used `count`

times.

However, return 0 when the owed amount is sufficient.

##### Constraints

- Fee of ride
`price`

: natural number less than 2,500. - The initial owned amount
`money`

: natural number less than 1,000,000,000. - The number of rides
`count`

: natural number less than 2,500.

##### Examples

price | money | count | result |
---|---|---|---|

3 | 20 | 4 | 10 |

Example #1

The customer has the amount of 20 and wants to use the ride with a fee of 3 four times. The total fee is 30 **(= 3+6+9+12)**, and the insufficient amount is 10. Therefore, return 10.

Result
Stop

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