GATE CS 2015 Set 3 — Question 63

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NAT+2 / -0MediumControl FlowC ProgrammingProgramming & Data StructuresArray Operations (1D, 2D)Arrays & Strings

Programming & Data Structures → Arrays & Strings → Array Operations (1D, 2D)

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Question

Suppose c=c[0],,c[k1]c = \langle c[0], \dots, c[k-1] \rangle is an array of length kk, where all the entries are from the set {0,1}\{0, 1\}.
For any positive integers aa and nn, consider the following pseudocode.
DOSOMETHING (c, a, n)
z <- 1
for i <- 0 to k - 1
    do z <- z^2 mod n
    if c[i] = 1
        then z <- (z * a) mod n
return z
If k=4,c=1,0,1,1,a=2k=4, c = \langle 1, 0, 1, 1 \rangle, a=2 and n=8n=8, then the output of DOSOMETHING(c,a,nc, a, n) is ________.
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