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Triangle with numbers

LEVEL:Beginner

Description

Print the pattern as shown below for all test cases.

Input Format

First line contains the value N.

Output Format

Print the output as shown in below examples.


Example 1:

Input
3
Output
    0
  1 0 1
2 1 0 1 2
Example 2:

Input
4
Output
      0
    1 0 1
  2 1 0 1 2
3 2 1 0 1 2 3
Example 3:

Input
5
Output
        0
      1 0 1
    2 1 0 1 2
  3 2 1 0 1 2 3
4 3 2 1 0 1 2 3 4

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Approach


Step-i)initialize i to 0
Step-ii) initialize space to 1
Step-iii) print two spaces (" ")
Step-iv)increment space by one value
Step-v)repeat steps iii to iv till space is less than or equal to N-i-1
Step-vi)assign to j to 0
Step-vii)if i equal to j print 0
Step-viii)else if j is less than i print i-j and space (" ")
Step-ix)if j is greater than i print j-i and space(" "-
Step-x) increment j value by one
Step-xi) repeat steps vii to x till j is less than 2*i+1
Step-xii) go to new line and increment i value by one
Step-xiii) repeat steps ii to xii till i is less than N

Time Complexity: O(n^2)
Space Complexity" O(1)


Note :

Let us know if you can come up with a better approach, mail us at support@theinquisitive.in Your approach will be reviewed and posted with credits to you.

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