Given a level L. The task is to find the sum of all the integers present at the given level in Pascal’s triangle .
A Pascal triangle with 6 levels is as shown below:
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
Input: L = 3
1 + 2 + 1 = 4
Input: L = 2
Approach: If we observe carefully the series of the sum of levels will go on like 1, 2, 4, 8, 16…., which is a GP series with a = 1 and r = 2.
Therefore, sum of Lth level is L’th term in the above series.
Lth term = 2L-1
Below is the implementation of the above approach:
Time Complexity: O(1)
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