Given an integer L, the task is to find the maximum of all the integers present at the given level in Pascal’s triangle.
A Pascal triangle with 6 levels is shown below:
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
Input: L = 3
0th level -> 1
1st level -> 1 1
2nd level -> 1 2 1
3rd level -> 1 3 3 1
Input: L = 5
Approach: It is known that each row in a Pascal Triangle is Binomial Coefficients and the kth coefficient in a binomial expansion for the level n is nCk. Also, the middle element of any level is always the greatest that is k = floor(n / 2).
Hence the maximum of all the integers present at the given level in Pascal’s triangle is binomialCoeff(n, n / 2).
Below is the implementation of the above approach:
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