- or download this
sub divide {
my $mid = @_/2;
...
divide(1 .. $_);
printf "%2d %2d\n", $_, $ITER;
}
- or download this
T(1) = 1
T(2) = 1 + 2*T(1)
T(4) = 1 + 2*T(2)
...
T(N) = 1 + 2*T(N/2)
- or download this
T(N) = 1 + 2*T(N/2)
= 1 + 2*(1 + 2*T(N/4))
...
= 7 + 8*(1 + 2*T(N/16))
= 7 + 8 + 16*T(N/16)
--> = 15 + 16*T(N/16)
- or download this
T(N) = 2^k - 1 + 2^k * T(N / 2^k)
= 2^(log N) - 1 + 2^(log N) * T(N / 2^log(N))
= N - 1 + N * T(N/N)
= N - 1 + N * 1
= 2*N - 1