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.

Constraints

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
	{
		// your code goes here
		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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