Pascal triangle pattern

#1

please just explain me the pattern just explain me the logic hoe I can write it just explain don’t send me the program

#2

Pascal’s triangle is the triangular array of the binomial coefficients.The number of entries in a given line is equal to the line number.Every entry in the line is the value of a binomial coefficient. The value of ith entry in the number line is C(line,i)(i.e apply mathematical combination formula ).
Where C(line,i)=line!/((line-i)!*i!).

Given pattern can be seen as first spaces then numbers and can be formed using 3 approches:
1.A simple method is to run two loops and calculate the value of binomial coefficient in inner loop. Complexity: O(N3).
2.O(N2) time and O(n2) space complexity.In this method store the previously generated values in 2-D array. Use these values to generate value in a line.
3.O(N2) time and O(1) space complexity. In this method calculate C(line,i) using C(line,i-1). It can be calculated in O(1) time as follows:

 C(line,i-1)=line!/((line-i+1)!*(i-1)!)
 C(line,i)=line!/((line-i)!*i!)
 C(line,i)=C(line,i-1)*(line-i+1)/i.
#3

code for reference --> https://ide.codingblocks.com/s/620268

#4

i hope its clear now??

#5

yes done it all we need to put one formula no*(row-col+1)/(col-1);

#6

yes… correct…

#7

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