# Find if there exists multiple ways to draw line through (x, y) to cut rectangle in equal halfs

• Last Updated : 01 Mar, 2022

Given four integers W, H, x, and y. The task is to find if there exist multiple ways to draw a line through (x, y) to cut the rectangle into two equal parts. If there are multiple ways print Yes otherwise print No. The co-ordinates of rectangle are (0, 0), (W, 0), (W, H) and (0, H)
Note: The point (x, y) always lies inside or above the rectangle.
Examples:

Input: W = 2, H = 2, x = 1, y = 1
Output: Yes
Line segment joining the points (0, 0) and (2, 2)
or (0, 2) and (2, 0) etc. are all valid ways.
Input: W = 1, H = 3, x = 1, y = 2
Output: No

Approach: The rectangle can be divided into two equal parts when the line is drawn vertically, horizontally, or diagonally through the center of the rectangle. So, the answer will be Yes only if the point (x, y) is the center of the rectangle i.e. (W / 2, H / 2) otherwise the answer will be No.
Below is the implementation of the above approach:

## C++

 `// C++ implementation of the approach``#include ``using` `namespace` `std;` `// Function that returns true if multiple``// lines are possible passing through``// (x, y) that divide the given``// rectangle into two equal parts``int` `isPossible(``int` `w, ``int` `h, ``int` `x, ``int` `y)``{` `    ``// If the point (x, y) is the``    ``// centre of the rectangle``    ``if` `(x * 2 == w && y * 2 == h)``        ``return` `true``;` `    ``return` `false``;``}` `// Driver code``int` `main()``{``    ``int` `w = 1, h = 2, x = 1, y = 2;` `    ``if` `(isPossible(w, h, x, y))``        ``cout << ``"Yes"``;``    ``else``        ``cout << ``"No"``;` `    ``return` `0;``}`

## Java

 `// Java implementation of the approach``class` `GFG``{` `// Function that returns true if multiple``// lines are possible passing through``// (x, y) that divide the given``// rectangle into two equal parts``static` `boolean` `isPossible(``int` `w, ``int` `h, ``int` `x, ``int` `y)``{` `    ``// If the point (x, y) is the``    ``// centre of the rectangle``    ``if` `(x * ``2` `== w && y * ``2` `== h)``        ``return` `true``;` `    ``return` `false``;``}` `// Driver code``public` `static` `void` `main(String[] args)``{``    ``int` `w = ``1``, h = ``2``, x = ``1``, y = ``2``;` `    ``if` `(isPossible(w, h, x, y))``        ``System.out.print(``"Yes"``);``    ``else``        ``System.out.print(``"No"``);``}``}` `// This code contributed by PrinciRaj1992`

## Python 3

 `# Python 3 implementation of the approach` `# Function that returns true if multiple``# lines are possible passing through``# (x, y) that divide the given``# rectangle into two equal parts``def` `isPossible(w, h, x, y):``    ` `    ``# If the point (x, y) is the``    ``# centre of the rectangle``    ``if` `(x ``*` `2` `=``=` `w ``and` `y ``*` `2` `=``=` `h):``        ``return` `True` `    ``return` `False` `# Driver code``if` `__name__ ``=``=` `'__main__'``:``    ``w ``=` `1``    ``h ``=` `2``    ``x ``=` `1``    ``y ``=` `2` `    ``if` `(isPossible(w, h, x, y)):``        ``print``(``"Yes"``)``    ``else``:``        ``print``(``"No"``)` `# This code is contributed by Surendra_Gangwar`

## C#

 `// C# implementation of the approach``using` `System;` `class` `GFG``{``    ` `// Function that returns true if multiple``// lines are possible passing through``// (x, y) that divide the given``// rectangle into two equal parts``static` `bool` `isPossible(``int` `w, ``int` `h,``                       ``int` `x, ``int` `y)``{` `    ``// If the point (x, y) is the``    ``// centre of the rectangle``    ``if` `(x * 2 == w && y * 2 == h)``        ``return` `true``;` `    ``return` `false``;``}` `// Driver code``static` `public` `void` `Main ()``{``    ``int` `w = 1, h = 2, x = 1, y = 2;` `    ``if` `(isPossible(w, h, x, y))``        ``Console.Write(``"Yes"``);``    ``else``        ``Console.Write(``"No"``);``}``}` `// This code is contributed by ajit.`

## Javascript

 ``

Output:

`No`

Time Complexity: O(1)

Auxiliary Space: O(1)

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