Test Data : Input number of rows: 5 Expected Output : 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1
Question
Test Data : Input number of rows: 5 Expected Output : 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1
Solution
The text you provided is a representation of Pascal's Triangle up to 5 rows. Here's how you can generate it:
- Start with a top row of just '1'.
- Each row has one more element than the row above it.
- The first and last number of each row is '1'.
- Each other number in the row is the sum of the two numbers directly above it from the previous row.
Here's a step-by-step breakdown of how to generate the first 5 rows:
- Row 1: 1
- Row 2: The first and last numbers are 1. There are no other numbers in this row.
- Row 3: The first and last numbers are 1. The middle number is the sum of the two numbers above it from the previous row (1 + 1 = 2). So, the row is: 1 2 1.
- Row 4: The first and last numbers are 1. The two middle numbers are the sum of the two numbers above them from the previous row (1 + 2 = 3 and 2 + 1 = 3). So, the row is: 1 3 3 1.
- Row 5: The first and last numbers are 1. The three middle numbers are the sum of the two numbers above them from the previous row (1 + 3 = 4, 3 + 3 = 6, and 3 + 1 = 4). So, the row is: 1 4 6 4 1.
So, the first 5 rows of Pascal's Triangle are:
1
1 1
1 2 1 1 3 3 1 1 4 6 4 1
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