#K16061. Baking Time Calculation

    ID: 24495 Type: Default 1000ms 256MiB

Baking Time Calculation

Baking Time Calculation

You are given an oven that requires a preheating time and a fixed baking time for each batch of cookies. Given four integers:

  • O: the oven preheat time.
  • B: the baking time for one batch of cookies.
  • C: the total number of cookies to be baked.
  • P: the number of cookies that can be baked in one batch.

You need to calculate the total time required to bake all cookies. The total time is given by the formula:

$$T = O + B \cdot \lceil \frac{C}{P} \rceil$$

where \(\lceil x \rceil\) denotes the ceiling function.

inputFormat

The input is read from stdin and consists of multiple test cases. The first line contains an integer T representing the number of test cases. Each of the next T lines contains four space-separated integers: O, B, C, and P.

outputFormat

For each test case, output the computed total baking time on a new line to stdout.

## sample
3
10 15 30 10
20 25 100 20
5 10 5 5
55

145 15

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