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- Algorithms
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- Save the Prisoner!

# Save the Prisoner!

# Save the Prisoner!

A jail has a number of prisoners and a number of treats to pass out to them. Their jailer decides the fairest way to divide the treats is to seat the prisoners around a circular table in sequentially numbered chairs. A chair number will be drawn from a hat. Beginning with the prisoner in that chair, one candy will be handed to each prisoner sequentially around the table until all have been distributed.

The jailer is playing a little joke, though. The last piece of candy looks like all the others, but it tastes *awful*. Determine the chair number occupied by the prisoner who will receive that candy.

For example, there are prisoners and pieces of candy. The prisoners arrange themselves in seats numbered to . Let's suppose two is drawn from the hat. Prisoners receive candy at positions . The prisoner to be warned sits in chair number .

**Function Description**

Complete the *saveThePrisoner* function in the editor below. It should return an integer representing the chair number of the prisoner to warn.

saveThePrisoner has the following parameter(s):

*n*: an integer, the number of prisoners*m*: an integer, the number of sweets*s*: an integer, the chair number to begin passing out sweets from

**Input Format**

The first line contains an integer, , denoting the number of test cases.

The next lines each contain space-separated integers:

- : the number of prisoners

- : the number of sweets

- : the chair number to start passing out treats at

**Constraints**

**Output Format**

For each test case, print the chair number of the prisoner who receives the *awful treat* on a new line.

**Sample Input 0**

```
2
5 2 1
5 2 2
```

**Sample Output 0**

```
2
3
```

**Explanation 0**

In first query, there are prisoners and sweets. Distribution starts at seat number . Prisoners in seats numbered and get sweets. Warn prisoner .

In the second query, distribution starts at seat so prisoners in seats and get sweets. Warn prisoner .

**Sample Input 1**

```
2
7 19 2
3 7 3
```

**Sample Output 1**

```
6
3
```

**Explanation 1**

In the first test case, there are prisoners, sweets and they are passed out starting at chair . The candies go all around twice and there are more candies passed to each prisoner from seat to seat .

In the second test case, there are prisoners, candies and they are passed out starting at seat . They go around twice, and there is one more to pass out to the prisoner at seat .