could you program in sage Question $6.$ Alice implements a Merkle$-$Hellman subset$-$sum cryptosystem

and her public key is:

$L=(5186,2779,5955,2307,6599,6771,6296,7306,4115,7039)$

Eve intercepts the encrypted message $e=26560.$ She also breaks into Alice's

computer and steals Alice's secret multiplier $A=4392$ and secret modulus

$N=8387.$ Use this information to find Alice's superincreasing private se$-$

quence $M=(r_1,r_2,$dots,$r_n)$ and then decrypt the message.

The values of $L,A,$ and $N$ are stored in hw$9-$data.txt for your convenience.

You can perform any operation like $f(x)$ you desire on the entire list L via

the command

$[f(x)$ for $x$ in $L$

Note that the message here is just a binary number, a list of $0\text{'}$s or $1\text{'}$s$.$ Usually

that number represents a string in a particular encoding like ASCII, but in

this problem, we're just doing a small binary number as the message.