Check if a point lies on or inside a rectangle | Set-2

Given coordinates of bottom-left and top-right corners of a rectangle. Check if a point (x, y) lies inside this rectangle or not.

Examples:

Input: bottom-left: (0, 0), top-right: (10, 8), point: (1, 5)
Output: Yes



Input: bottom-left: (-1, 4), top-right:(2, 3), point:(0, 4)
Output: No

This problem is already discussed in a previous post. In this post we have discussed a new approach.

Approach: The above problem can be solved by observation. A point lies inside or not the rectangle if and only if it’s x-coordinate lies between the x-coordinate of the given bottom-right and top-left coordinates of the rectangle and y-coordinate lies between the y-coordinate of the given bottom-right and top-left coordinates.

Below is the implementation of the above approach:

C++

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// CPP program to Check if a
// point lies on or inside a rectangle | Set-2
#include <bits/stdc++.h>
using namespace std;
  
// function to find if given point
// lies inside a given rectangle or not.
bool FindPoint(int x1, int y1, int x2,
               int y2, int x, int y)
{
    if (x > x1 and x < x2 and y > y1 and y < y2)
        return true;
  
    return false;
}
  
// Driver code
int main()
{
    // bottom-left and top-right
    // corners of rectangle
    int x1 = 0, y1 = 0, x2 = 10, y2 = 8;
  
    // given point
    int x = 1, y = 5;
  
    // function call
    if (FindPoint(x1, y1, x2, y2, x, y))
        cout << "Yes";
    else
        cout << "No";
  
    return 0;
}

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Java

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// Java program to Check if 
// a point lies on or inside
// a rectangle | Set-2
class GFG 
{
  
// function to find if given point
// lies inside a given rectangle or not.
static boolean FindPoint(int x1, int y1, int x2,
                         int y2, int x, int y)
{
if (x > x1 && x < x2 && 
    y > y1 && y < y2)
    return true;
  
return false;
}
  
// Driver code
public static void main(String[] args)
{
      
    // bottom-left and top-right
    // corners of rectangle
    int x1 = 0, y1 = 0
        x2 = 10, y2 = 8;
  
    // given point
    int x = 1, y = 5;
  
    // function call
    if (FindPoint(x1, y1, x2, y2, x, y))
        System.out.println("Yes");
    else
        System.out.println("No");
}
}
  
// This code is contributed 
// by ChitraNayal

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Python3

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# Python3 program to Check 
# if a point lies on or 
# inside a rectangle | Set-2
  
# function to find if 
# given point lies inside 
# a given rectangle or not.
def FindPoint(x1, y1, x2, 
              y2, x, y) :
    if (x > x1 and x < x2 and 
        y > y1 and y < y2) :
        return True
    else :
        return False
  
# Driver code
if __name__ == "__main__" :
  
    # bottom-left and top-right
    # corners of rectangle.
    # use multiple assigment
    x1 , y1 , x2 , y2 = 0, 0, 10, 8
  
    # given point
    x, y = 1, 5
  
    # function call
    if FindPoint(x1, y1, x2, 
                 y2, x, y) :
        print("Yes")
    else :
        print("No")
  
# This code is contributed
# by Ankit Rai

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C#

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// C# program to Check if a
// point lies on or inside 
// a rectangle | Set-2
using System;
  
class GFG
{
  
// function to find if given 
// point lies inside a given
// rectangle or not.
static bool FindPoint(int x1, int y1, int x2,
                      int y2, int x, int y)
{
if (x > x1 && x < x2 &&
    y > y1 && y < y2)
    return true;
  
return false;
}
  
// Driver code
public static void Main() 
{
      
    // bottom-left and top-right
    // corners of rectangle
    int x1 = 0, y1 = 0, 
        x2 = 10, y2 = 8;
  
    // given point
    int x = 1, y = 5;
  
    // function call
    if (FindPoint(x1, y1, x2, y2, x, y))
        Console.Write("Yes");
    else
        Console.Write("No");
}
}
  
// This code is contributed 
// by ChitraNayal

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PHP

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<?php
// PHP program to Check if
// a point lies on or inside
// a rectangle | Set-2
  
// function to find if given 
// point lies inside a given 
// rectangle or not.
function FindPoint($x1, $y1, $x2,
                   $y2, $x, $y)
{
    if ($x > $x1 and $x < $x2 and 
        $y > $y1 and $y < $y2)
        return true;
  
    return false;
}
  
// Driver code
  
// bottom-left and top-right
// corners of rectangle
$x1 = 0; $y1 = 0; 
$x2 = 10; $y2 = 8;
  
// given point
$x = 1; $y = 5;
  
// function call
if (FindPoint($x1, $y1, $x2,
              $y2, $x, $y))
    echo "Yes";
else
    echo "No";
  
// This code is contributed
// by Akanksha Rai(Abby_akku)
?>

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Output:

Yes


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