Write a python codes these $3$ questions:

$1.$Question: A new number will be obtained by changing the places of the digits of a $10-$digit number entered and, if necessary, by not reusing some digits. The new number will be divisible by $3.$ The aim is to obtain the largest number divisible by $3$ using the $10$ available numbers.

Example$1$: input: $4312340009$ output: $944331000$

Example$2$: input: $7592349894$ output: $9998754432$

Example$3$: input: $3333333311$ output: $33333333$

$2.$Question: Same as the $1$st question, only create the number divisible by $15$ instead of divisible by $3.$

$3.$Question: A popsicle manufacturer wants to print serial numbers on ice cream sticks. A typewriter was placed on the sticks to write serial numbers. This typewriter has $10$ imprinter tips, each with a number written on the tip $(0,1,2,3,4,5,6,7,8,9).$ It prints the given number by stamping it according to the commands it reads from the file. Each number is arranged sequentially from $0$ to $9,1$ cm apart. There is a mechanism that moves the popsicle stick under the typewriter. Again, he can move it according to the information he reads from the file. Numbers will be written on the stick at $5$mm intervals. A USB flash memory can be connected to the typewriter. By loading a text file, we will tell the typewriter how far to move the stick and which letter to hit. Can you give the command we will write to the text file as output?

Additional information for question $3$ is as follows:

$1.$The distance between each typewriter digit is $1$cm

$2.$The mechanism that moves the rod can move it in $1$mm steps.

$3.$Each number written on the stick covers a $5$mm space. If $3$ of the same number are to be written, it is necessary to move the stick $5$ mm to the side after writing each number.

$4.$The bar text start area is exactly below the number $0$ when the process first starts. In other words, if the bar is pressed to $0$ without moving, it is right below it$.$ To print the number $1$ as the first digit, it is necessary to move it $10$mm and bring it under the number $1.$

$5.$Numbers are in order from $0$ to $9.$

$6.$ When the process starts, the first digit hit forms the $1\text{'}$s digit of the number to be printed on the stick.

$7.$The file format should be as follows: R$,$M; R$,$M; R$,$M; R$,$M;$!!!($How many digits will be printed will be written in the R$,$M; block. The $"$R$"$ in this block indicates which digit will be printed. M indicates how many mm the rod will be advanced before the digit is pressed. R and M are separated from each other by $","$ after each M $"$;$"$ is added. The number can be up to $15$ digits.

$8.$The number to be printed on the stick will be entered as input, R$,$M as output; R$,$M; R$,$M; R$,$M;$!!!$ The output will be given in $.$ There is no need to print it to a text file, just output it to the screen.

$9.$The millimetric progress numbers represented by the letter M do not accumulate by adding them, each one shows independent progress. So$,$ if the number $"3"$ is to be printed by advancing $20$mm the first time, and the number $"1"$ is to be printed by advancing $20$mm the second time, $3,20$;$1$;$20$;$!!!$ The command is sent as follows.

$10.$To perform simultaneous transactions at the same position, the movement distance of the next transaction must be $0.$

$11.$Example$1$: Input: $32452$ Output: $2\mathrm{.}20$;$2\mathrm{.}15$;$3\mathrm{.}15$;$4\mathrm{.}0$;$5\mathrm{.}5$;$!!!$

$12.$Example$2$: Input: $70910$ Output: $0\mathrm{.}0$;$0\mathrm{.}15$;$1\mathrm{.}0$;$7\mathrm{.}75$;$9\mathrm{.}10$;$!!!$