Design a Turing machine that would take an input of the form

$1$

$$

$($

i

$.$

e

$.$

$,$

$1$

$$repeated

$$

$$times

$)$

$$and generate an output of the form

$1$

$2$

$$

$.$

$($

i

$.$

e

$.$

$,$

$$the TM is duplicating the

input

$)$