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#!/usr/bin/gawk -f
function sign(x)
{
return x < 0 ? -1 : +1
}
function abs(x)
{
return x < 0 ? -x : x
}
function check(skip, xs, s, i, j, d, D)
{
for (i = 1; i <= NF; i++) {
if (i != skip)
xs[++j] = $i
}
s = sign(xs[1] - xs[2])
for (i = 2; i <= length(xs); i++) {
d = xs[i - 1] - xs[i]
D = abs(d)
if (sign(d) != s || D < 1 || D > 3)
return 0
}
return 1
}
# START PART 1
{
s = sign($1 - $2)
n += check()
}
# END PART 1 START PART 2
{
s = sign($1 - $2)
if (!check()) {
for (i = 1; i <= NF; i++) {
if (check(i))
break
}
if (i > NF)
next
}
n++
}
# END PART 2
END { print n }
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