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#!/usr/bin/awk -f

### fib.awk
# fib sol'n from Hamming

BEGIN {
    ARGV[1] ? n = ARGV[1] : n = 0
    ARGV[2] ? OFMT = "%." ARGV[2] "g" : OFMT = "%g"
    C1 = 1.0/sqrt(5)
    C2 = -1.0/sqrt(5)
    print C1*(0.5*(1 + sqrt(5)))^n + C2*(0.5*(1 - sqrt(5)))^n
}