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Every entry in a line is value of a Binomial Coefficient. The value of i th entry in line number line is C line, i. The value can be calculated using following formula.
A simple method is to run two loops and calculate the value of Binomial Coefficient in inner loop. So we can create a 2D array that stores previously generated values. To generate a value in a line, we can use the previously stored values from array. This method can be optimized to use O n extra space as we need values only from previous row.
So we can create an auxiliary array of size n and overwrite values. Following is another method uses only O 1 extra space. We know that i th entry in a line number line is Binomial Coefficient C line, i and all lines start with value 1.
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The idea is to calculate C line, i using C line, i It can be calculated in O 1 time using the following. So method 3 is the best method among all, but it may cause integer overflow for large values of n as it multiplies two integers to obtain values. This article is compiled by Rahul and reviewed by GeeksforGeeks team. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. This book was an excellent read and further more an excellent reference book.
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Although I was not new to programming, I was new to pascal. This book filters out the crap and really shows you what you need to know. If you are an a-level student needing help with pascal, get this book now.
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