Let A

$=$

$\{$

w

$$

w is a binary string containing at least

$2$

$$consecutive

$1$

s and an even number of

$1$

$$s

$\}$

$.$

$$Let B

$=$

$\{$

aibjck

$$

$0$

$<$

$$i

$<$

$$j

$<$

$$k

$\}$

$.$

Construct a mapping reduction function to show that A

$<$

$=$

m B

$.$

$$Draw a Turing machine that computes your mapping reduction function.