找到一个等腰三角形的两个顶点，其中有一个矩形，两个矩形的对角分别为(0，0)和(X，Y)

给定两个整数X和Y。任务是找到等腰三角形ABC(在B处为直角)的两个顶点，该顶点在点B(0，0)处具有一个顶点。并且有一个具有相反边(0，0)和(X，Y)的矩形。该矩形的所有点都位于三角形的内部或边界上。打印4个整数x1，y1，x2，y2，其中A(x1，y1)和B(x2，y2)。
例子：

Input : X = 3, Y = 3 
Output : 6 0 0 6 
 

Input : X = -3, y = -2 
Output : -5 0 0 -5 
 

 

方法 ：
令Val = | x | + | y |。然后第一个点是(Val * sign(x)，0)，第二个点是(0，Val * sign(y))。
让我们看看它在x> 0和y> 0时如何工作。其他情况也可以用类似的方式证明。
我们需要证明(x，y)属于我们的三角形(包括其边界)。实际上(x，y)属于段，将(x + y，0)与(0，x + y)连接起来。通过(x + y，0)和(0，x + y)的线是Y = – X + x + y。在此等式中使用坐标(x，y)证明了我们的答案。
下面是上述方法的实现：

C++

// C++ program to find two vertices of an
// isosceles triangle in which there is
// rectangle with opposite side (0, 0) and (x, y)
#include 
using namespace std;
 
// Function to find two vertices of an
// isosceles triangle in which there is
// rectangle with opposite side (0, 0) and (x, y)
int Vertices(int x, int y)
{
    // Required value;
    int val = abs(x) + abs(y);
 
    // print x1 and y1
    cout << val * (x < 0 ? -1 : 1) << " 0 ";
 
    // print x2 and y3
    cout << "0 " << val * (y < 0 ? -1 : 1);
}
 
// Driver code
int main()
{
    int x = 3, y = 3;
 
    // Function call
    Vertices(x, y);
 
    return 0;
}

Java

// Java program to find two vertices of an
// isosceles triangle in which there is
// rectangle with opposite side (0, 0) and (x, y)
class GFG
{
 
// Function to find two vertices of an
// isosceles triangle in which there is
// rectangle with opposite side (0, 0) and (x, y)
static void Vertices(int x, int y)
{
    // Required value;
    int val = Math.abs(x) + Math.abs(y);
 
    // print x1 and y1
    System.out.print(val * (x < 0 ? -1 : 1) + " 0 ");
 
    // print x2 and y3
    System.out.print("0 " + val * (y < 0 ? -1 : 1));
}
 
// Driver code
public static void main(String[] args)
{
    int x = 3, y = 3;
 
    // Function call
    Vertices(x, y);
}
}
 
// This code is contributed by Rajput-Ji

Python3

# Python3 program to find two vertices of an
# isosceles triangle in which there is
# rectangle with opposite side (0, 0) and (x, y)
 
# Function to find two vertices of an
# isosceles triangle in which there is
# rectangle with opposite side (0, 0) and (x, y)
def Vertices(x, y) :
 
    # Required value;
    val = abs(x) + abs(y);
 
    # print x1 and y1
    if x < 0 :
        x = -1
    else :
        x = 1
         
    print(val * x,"0",end = " ");
 
    # print x2 and y3
    if y < 0 :
        y = -1
    else :
        y = 1
     
    print("0",val * y);
 
 
# Driver code
if __name__ == "__main__" :
 
    x = 3; y = 3;
 
    # Function call
    Vertices(x, y);
 
# This code is contributed by AnkitRai01

C#

// C# program to find two vertices of an
// isosceles triangle in which there is
// rectangle with opposite side (0, 0) and (x, y)
using System;
     
class GFG
{
 
// Function to find two vertices of an
// isosceles triangle in which there is
// rectangle with opposite side (0, 0) and (x, y)
static void Vertices(int x, int y)
{
    // Required value;
    int val = Math.Abs(x) + Math.Abs(y);
 
    // print x1 and y1
    Console.Write(val * (x < 0 ? -1 : 1) + " 0 ");
 
    // print x2 and y3
    Console.Write("0 " + val * (y < 0 ? -1 : 1));
}
 
// Driver code
public static void Main(String[] args)
{
    int x = 3, y = 3;
 
    // Function call
    Vertices(x, y);
}
}
 
// This code is contributed by Rajput-Ji

Javascript

 
// JavaScript program to find two vertices of an
// isosceles triangle in which there is
// rectangle with opposite side (0, 0) and (x, y)
 
// Function to find two vertices of an
// isosceles triangle in which there is
// rectangle with opposite side (0, 0) and (x, y)
function Vertices(x, y)
{
    // Required value;
    let val = Math.abs(x) + Math.abs(y);
 
    // print x1 and y1
    document.write(val * (x < 0 ? -1 : 1) + " 0 ");
 
    // print x2 and y3
    document.write("0 " + val * (y < 0 ? -1 : 1));
}
 
// Driver code
 
    let x = 3, y = 3;
 
    // Function call
    Vertices(x, y);
 
 
// This code is contributed by Surbhi Tyagi.
 

输出：

6 0 0 6

时间复杂度： O(1)

如果您希望与行业专家一起参加现场课程，请参阅《 Geeks现场课程》和《 Geeks现场课程美国》。