# The first overtake

Problem:-

In a car race, there are N cars 1,2 … N where the ith car is moving with a speed of (N – i + 1). All the cars are moving in the same direction.

The current position of the cars is Xi. Determine the time at which the first overtake takes place.

Note: Overtake is defined as the place when a car crosses another car that is ahead of it.

Input format

• Each test contains multiple test cases.
• The first line contains the number of test cases T.
• The first line of each test case contains two space-separated integers N and M representing the number of cars and the length of the circular path.
• The second line of each test case contains N integers where the ith integer is Xi representing the position of the ith car on the track.

Output format

For each test case, print a single line containing one integer representing the time at which the first overtake takes place.

Constraints

Sample Input
`121 2`
Sample Output
`1`
Time Limit: 2
Memory Limit: 256
Source Limit:
Explanation

The first overtake takes place at time t = 1.

Code:-

#include<stdio.h>
int main()
{
int t;
scanf(“%d”,&t);
long int n;
while(t–)
{
scanf(“%ld”,&n);
long long int a[n],i,m=0,min=10000000007,t,j,flag=0;
for(i=0;i<n;i++)
{
scanf(“%lld”,&a[i]);
if(flag==0)
{
m=a[i];
flag=1;
}
else
{
t=abs(a[i]-m);
if(min>t)
min=t;
}
m=a[i];
}
/*  for(i=1;i<n;i++)
{
for(j=i+1;j<n;j++)
{
t=abs(a[i]-a[j]);
if(min>t)
min=t;
}
}*/
printf(“%lldn”,min);
}
return 0;
}