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# Fit Squares in Triangle CodeChef Solution

## Problem – Fit Squares in Triangle CodeChef Solution

What is the maximum number of squares of size 2×2 that can be fit in a right angled isosceles triangle of base B.
One side of the square must be parallel to the base of the isosceles triangle.
Base is the shortest side of the triangle

### Input

First line contains T, the number of test cases.
Each of the following T lines contains 1 integer B.

### Output

Output exactly T lines, each line containing the required answer.

1 ≤ T ≤ 103
1 ≤ B ≤ 104

### Sample 1:

``````Input:
11
1
2
3
4
5
6
7
8
9
10
11
Output:
0
0
0
1
1
3
3
6
6
10
10``````

## Fit Squares in Triangle CodeChef Solution in C++14

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

int numberOfSquares(int base)
{
base = (base - 2);
base = floor(base / 2);

return base * (base + 1)/2;
}

int main()
{
int t;
cin>>t;
while(t--){
int base;
cin>>base;
cout << numberOfSquares(base)<<endl;
}
return 0;
}``````

## Fit Squares in Triangle CodeChef Solution in Pyth 3

``````# cook your dish here
for _ in range(int(input())):
n = int(input())//2
print(n*(n-1)//2)``````

## Fit Squares in Triangle CodeChef Solution in Java

``````/* package codechef; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
class Codechef
{
public static void main (String[] args) throws java.lang.Exception
{
Scanner sc=new Scanner(System.in);
int t=sc.nextInt();
while(t-->0){
int B=sc.nextInt();
if(B<3){
System.out.println("0");
}else{
System.out.println(((((B/2)*(B/2))-(B/2))/2));
}
}
}
}
``````
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