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: YesInput: 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++
// 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; } |
Java
// 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 |
Python3
# 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 |
C#
// 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 |
PHP
<?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) ?> |
Yes
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