Relativity | RELATIVE | Codechef July Challenge 2021 Solution

byNiket Lekariya •July 02, 2021

0

Relativity | RELATIVE | Codechef July Challenge 2021 Solution

Table of Contents

By TechTalkBot

Relativity Problem Code: Relative

Task

In Chefland, the speed of light is c m/s, and acceleration due to gravity is g m/s2.

Find the smallest height (in meters) from which Chef should jump such that during his journey down only under the effect of gravity and independent of any air resistance, he achieves the speed of light and verifies Einstein’s theory of special relativity.

Assume he jumps at zero velocity and at any time, his velocity (v) and depth of descent (H) are related as

v2 = 2⋅g⋅H.

Input

The first line contains an integer T, the number of test cases. Then the test cases follow.
Each test case contains a single line of input, two integers g, c.

Output

For each test case, output in a single line the answer to the problem. We can show that under the constraints, the answer is an integer.

Constraints

1 ≤ T ≤ 5⋅103
1 ≤ g ≤ 10
1000 ≤ c ≤ 3000
2⋅g divides c2.

Subtasks

Subtask #1 (100 points): Original constraints

Sample Input

Sample Output

140000
100000
50000

Explanation

Test Case 1: For Chef to achieve the speed of light, the minimum height required is c2/2⋅g = 1400⋅1400/14 = 140000 meters.

Test Case 3: For Chef to achieve the speed of light, the minimum height required is c2/2⋅g = 1000⋅1000/20 = 50000 meters.

Solution – Relativity

Solution:-

Sample Input

#include<bits/stdc++.h>
using namespace std;

int main()
{
    int t;
    cin>>t;
    while(t--)
    {


    int g,c;
    cin>>g>>c;

    int h=0;
    h = ((c*c)/(2*g));

    cout<<h<<endl;
    }

    return 0;
}