To decode the logic and print the pattern for a given input \( N \), let’s analyze the patterns for \( N = 3 \) and \( N = 4 \).
Pattern Analysis
For \( N = 3 \):
- Line 1: 102030
- Line 2: 10011012
- Line 3: **4050809
- Line 4: ****607
For \( N = 4 \):
- Line 1: 10203040
- Line 2: 17018019020
- Line 3: **50607014015016
- Line 4: ****809012013
- Line 5: 10011
Observations:
- The pattern consists of numbers and asterisks.
- Each line starts with numbers and is followed by asterisks.
- The numbers in each line increase by a fixed step.
- The number of asterisks increases as the lines progress.
Pattern Logic:
- Line 1: Numbers from 10 to \( 10 \times N \) with a step of 10.
- Line 2: Numbers from 10 to \( 10 \times N \) with a step of 10, followed by numbers from 100 to \( 100 + (N-1) \).
- Line 3: Starts with two asterisks, followed by numbers from 40 to \( 40 + (N-1) \times 10 \) with a step of 10, then numbers from 140 to \( 140 + (N-1) \).
- Line 4: Starts with four asterisks, followed by numbers from 60 to \( 60 + (N-1) \times 10 \) with a step of 10, then numbers from 200 to \( 200 + (N-1) \).
General Pattern for \( N \):
- Line 1: Numbers from 10 to \( 10 \times N \).
- Line 2: Numbers from 10 to \( 10 \times N \), followed by numbers from 100 to \( 100 + (N-1) \).
- Line 3: Starts with two asterisks, followed by numbers from 40 to \( 40 + (N-1) \times 10 \), then numbers from 140 to \( 140 + (N-1) \).
- Line 4: Starts with four asterisks, followed by numbers from 60 to \( 60 + (N-1) \times 10 \), then numbers from 200 to \( 200 + (N-1) \).
Example for \( N = 5 \):
- Line 1: 1020304050
- Line 2: 100110120130140
- Line 3: **5060708090
- Line 4: ****100110120130
- Line 5: 140150160170
This pattern can be generated programmatically by following the observed logic and incrementing the number of asterisks and numbers accordingly.