Write a program to print Pascal's Triangle.Input: 6Output: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 Input format :The input consists of a number.Output format :The output displays the required pattern.Sample test cases :Input 1 :6Output 1 : 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 Input 2 :2Output 2 : 1 1 1
Question
Write a program to print Pascal's Triangle.Input: 6Output: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 Input format :The input consists of a number.Output format :The output displays the required pattern.Sample test cases :Input 1 :6Output 1 : 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 Input 2 :2Output 2 : 1 1 1
Solution
Here is a Python program that prints Pascal's Triangle:
def print_pascal_triangle(n):
# Create a 2D array to store the values of Pascal's Triangle
triangle = [[0 for x in range(n)] for y in range(n)]
# Iterate through every line and populate it with the appropriate values
for line in range(0, n):
for i in range(0, line + 1):
# The first and last values in every row are 1
if(i is 0 or i is line):
triangle[line][i] = 1
else:
# Other values are sum of values just above and left of above
triangle[line][i] = triangle[line-1][i-1] + triangle[line-1][i]
print(triangle[line][i], end = " ")
print("\n", end = "")
# Test the function
print_pascal_triangle(6)
This program works by first creating a 2D array to store the values of Pascal's Triangle. It then iterates through every line and populates it with the appropriate values. The first and last values in every row are 1, and other values are the sum of the values just above and to the left of the above value.
Similar Questions
Write a C program to implement Pascal's Triangle generation and manipulation functionalities using functions and structures. Your program should provide the following capabilities: · Generate Pascal's Triangle: Implement a function to generate Pascal's Triangle up to a specified number of rows.· Display Pascal's Triangle: Implement a function to display the generated Pascal's Triangle in a readable format.· Calculate Column Sum: Implement a function to calculate the sum of all values in a specified column of Pascal's Triangle.Pascal triangle is constructed using the following rules:· The first and last elements of each row are always 1.· Each element in the interior of the triangle is the sum of the two elements directly above it in the previous row.Instructions:· Define a structure named "Triangle" to represent Pascal's Triangle.· Implement functions to perform the operations mentioned above. Use appropriate function prototypes and definitions.· Use dynamic memory allocation to allocate memory for the triangle array based on the number of rows.· Ensure error handling for invalid input values and memory allocation failures.· Document your code with comments to explain the purpose of each function and significant code blocks. Note: Pascal's Triangle can grow rapidly in size, so consider efficiency and memory usage while implementing the generation and manipulation functions.
Write a program to print symmetric Pascal's triangle of "*" 's of height "l" of odd length . If input "l" is even then your program will print "Invalid line number".
#!/usr/bin/python3"""Test"""pascal_triangle = __import__('0-pascal_triangle').pascal_triangledef print_triangle(triangle): """ Print triangle (2D array) """ for row in triangle: print("[{}]".format(",".join([str(x) for x in row])))if __name__ == "__main__": print_triangle(pascal_triangle(1))
Given an integer rowIndex, return the rowIndexth (0-indexed) row of the Pascal's triangle.In Pascal's triangle, each number is the sum of the two numbers directly above it as shown:
Given an integer numRows, return the first numRows of Pascal's triangle.In Pascal's triangle, each number is the sum of the two numbers directly above it as shown: Example 1:Input: numRows = 5Output: [[1],[1,1],[1,2,1],[1,3,3,1],[1,4,6,4,1]]Example 2:Input: numRows = 1Output: [[1]] Constraints:1 <= numRows <= 30
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