**Save the Prisoner!**

### Problem Statement :

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. Example n = 4 m = 6 s = 2 There are 4 prisoners, 6 pieces of candy and distribution starts at chair 2. The prisoners arrange themselves in seats numbered 1 to 4. Prisoners receive candy at positions 2, 3, 4, 1, 2, 3 . The prisoner to be warned sits in chair number 3. 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): int n: the number of prisoners int m: the number of sweets int s: the chair number to begin passing out sweets from Returns int: the chair number of the prisoner to warn Input Format The first line contains an integer, t, the number of test cases. The next t lines each contain 3 space-separated integers: n : the number of prisoners m : the number of sweets s : the chair number to start passing out treats at Constraints 1 <= t <= 100 1 <= n,m <= 10^9 1 <= s <= n

### Solution :

` ````
Solution in C :
python 3 :
for _ in range(int(input().strip())):
n,m,s = map(int, input().strip().split(" "))
print(((s-2+m)%n)+1)
Java :
import java.io.*;
import java.util.*;
public class Solution {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
int t = scanner.nextInt();
for(int i=0;i<t;i++)
{
int n = scanner.nextInt();
int m = scanner.nextInt();
int s = scanner.nextInt();
int result = (m + s - 1) % n;
if(result == 0)
result = n;
System.out.println(result);
}
}
}
C++ :
#include <cmath>
#include <cstdio>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;
int main() {
int t; cin >> t;
while(t--) {
int n,m,s; cin >> n >> m >> s;
--s; --m;
s += m;
s %= n;
s++;
cout << s << endl;
}
return 0;
}
C :
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>
int main() {
int t,n,m,s,i,p;
scanf("%d",&t);
for(int i=0;i<t;i++)
{
scanf("%d%d%d",&n,&m,&s);
p=(s+m-1)%n;
if(p==0)
p=n;
printf("%d\n",p);
}
return 0;
}
```

## View More Similar Problems

## Truck Tour

Suppose there is a circle. There are N petrol pumps on that circle. Petrol pumps are numbered 0 to (N-1) (both inclusive). You have two pieces of information corresponding to each of the petrol pump: (1) the amount of petrol that particular petrol pump will give, and (2) the distance from that petrol pump to the next petrol pump. Initially, you have a tank of infinite capacity carrying no petr

View Solution →## Queries with Fixed Length

Consider an -integer sequence, . We perform a query on by using an integer, , to calculate the result of the following expression: In other words, if we let , then you need to calculate . Given and queries, return a list of answers to each query. Example The first query uses all of the subarrays of length : . The maxima of the subarrays are . The minimum of these is . The secon

View Solution →## QHEAP1

This question is designed to help you get a better understanding of basic heap operations. You will be given queries of types: " 1 v " - Add an element to the heap. " 2 v " - Delete the element from the heap. "3" - Print the minimum of all the elements in the heap. NOTE: It is guaranteed that the element to be deleted will be there in the heap. Also, at any instant, only distinct element

View Solution →## Jesse and Cookies

Jesse loves cookies. He wants the sweetness of all his cookies to be greater than value K. To do this, Jesse repeatedly mixes two cookies with the least sweetness. He creates a special combined cookie with: sweetness Least sweet cookie 2nd least sweet cookie). He repeats this procedure until all the cookies in his collection have a sweetness > = K. You are given Jesse's cookies. Print t

View Solution →## Find the Running Median

The median of a set of integers is the midpoint value of the data set for which an equal number of integers are less than and greater than the value. To find the median, you must first sort your set of integers in non-decreasing order, then: If your set contains an odd number of elements, the median is the middle element of the sorted sample. In the sorted set { 1, 2, 3 } , 2 is the median.

View Solution →## Minimum Average Waiting Time

Tieu owns a pizza restaurant and he manages it in his own way. While in a normal restaurant, a customer is served by following the first-come, first-served rule, Tieu simply minimizes the average waiting time of his customers. So he gets to decide who is served first, regardless of how sooner or later a person comes. Different kinds of pizzas take different amounts of time to cook. Also, once h

View Solution →