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#!/usr/bin/awk
#
# See https://theweeklychallenge.org/blog/perl-weekly-challenge-151
#
#
# Run as: awk -f ch-1.awk < input-file
#
{
#
# Read in tree
#
delete tree
D = 0
i = 0
for (k = 0; k < NF; k ++) {
if ($k == "|") {
D ++
i = 0
}
else {
tree [D, i ++] = $k == "*" ? 0 : 1
}
}
#
# Find first node without children
#
for (d = 0; d <= D; d ++) {
for (i = 0; i < 2 ^ d; i ++) {
if (tree [d, i] && !tree [d + 1, 2 * i] &&
!tree [d + 1, 2 * i + 1]) {
print d + 1
next
}
}
}
}
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