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Pattern 13

1. You are given a number n. 2. You've to create a pattern as shown in output format

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Pattern 13

easy

1. You are given a number n. 2. You've to create a pattern as shown in output format

Constraints

1 <= n <= 10

Format

Input

A number n

Output

pat131

Example

Sample Input

5

Sample Output

1 1 1 1 2 1 1 3 3 1 1 4 6 4 1

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