Write a program trapezoid.cpp that prints an upside-down trapezoid of given width and height

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Write a program trapezoid.cpp that prints an upside-down trapezoid of given width and height However, if the input height is impossibly large for the given width, then the program should report, Impossible shape! Example t Input width: 12 Input height: 5 Shape: Example 2 Input width: 12 Input height: 7 Impossible shape! Hint You can start with the number of spaces e; Stars width; On each line, print that number of spaces followed by that number of stars. After that, the number of spaces gets incremented by 1, while the number of stars gets decremented by2 earch

The Correct Answer and Explanation is :

To create a C++ program that prints an upside-down trapezoid based on user-provided width and height, we need to consider the following:

Understanding the Trapezoid Structure:

An upside-down trapezoid starts with a row of stars equal to the width, followed by subsequent rows where each has two fewer stars and one more leading space.

Key Considerations:

  1. Input Validation: The height must be such that the trapezoid can be formed with the given width. Specifically, the height should not exceed half of the width (rounded up). If the height is too large, the program should output “Impossible shape!”.
  2. Pattern Generation: For each row, calculate the number of leading spaces and stars, then print them accordingly.

C++ Implementation:

#include <iostream>
using namespace std;

int main() {
    int width, height;

    // Prompt user for width and height
    cout << "Input width: ";
    cin >> width;
    cout << "Input height: ";
    cin >> height;

    // Validate if the trapezoid can be formed
    if (height > (width + 1) / 2) {
        cout << "Impossible shape!" << endl;
    } else {
        // Print the trapezoid
        for (int i = 0; i < height; ++i) {
            // Print leading spaces
            for (int j = 0; j < i; ++j) {
                cout << " ";
            }
            // Print stars
            for (int j = 0; j < width - 2 * i; ++j) {
                cout << "*";
            }
            cout << endl;
        }
    }

    return 0;
}

Explanation:

  1. Input Collection: The program prompts the user to input the width and height of the trapezoid.
  2. Validation: It checks if the height is feasible for the given width. The condition (width + 1) / 2 ensures that the height does not exceed half of the width (rounded up). If the height is too large, it outputs “Impossible shape!”.
  3. Pattern Printing: For each row:
  • It prints the appropriate number of leading spaces (i spaces for the i-th row).
  • It prints the stars, starting from width and decreasing by 2 for each subsequent row.
  • After printing the stars, it moves to the next line.

Example Outputs:

  • Example 1:
  Input width: 12
  Input height: 5
  Shape:
  ************
   **********
    ********
     ******
      ****
  • Example 2:
  Input width: 12
  Input height: 7
  Impossible shape!

Explanation of the Examples:

  • Example 1: With a width of 12 and a height of 5, the trapezoid starts with 12 stars and decreases by 2 stars per row, with an increasing number of leading spaces.
  • Example 2: With a width of 12 and a height of 7, the height exceeds half of the width (rounded up), making it impossible to form a trapezoid, so the program outputs “Impossible shape!”.

Additional Resources:

For more pattern printing problems and solutions in C++, you can refer to:

These resources provide a variety of pattern printing exercises that can enhance your understanding and skills in C++ programming.

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