Methods to convert problem from `mining.set_difficulty` message for Litecoin?

I am making an attempt to find out easy methods to correctly convert problem from a mining.set_difficulty message to focus on for Litecoin, much like the way it’s performed for Bitcoin.

For Bitcoin, the method I take advantage of is as follows:

1. I begin with the genesis nbits worth: 0x1d00ffff
2. I convert this to the max goal:

   0x00000000ffff0000000000000000000000000000000000000000000000000000
   

3. Then, I calculate the goal utilizing this formulation:

   goal = max_target / problem
   

   For instance, with an issue of 524288, the goal turns into:

   goal = max_target / 524288 = 0x0000000000001fffe00000000000000000000000000000000000000000000000
   

Now, I am making an attempt to use an identical algorithm to Litecoin. Here is what I’ve up to now:

1. The genesis nbits for Litecoin is 0x1e0ffff0
2. I convert this to the identical max goal as in Bitcoin:

   0x00000000ffff0000000000000000000000000000000000000000000000000000
   

3. I take advantage of the formulation max_target / 524288, which ends up in the identical goal as in Bitcoin:

   goal = 0x0000000000001fffe00000000000000000000000000000000000000000000000
   

Nonetheless, after I carry out this calculation and evaluate it with the shares I obtain on the pool aspect, I discover that some shares have a better goal, resembling:

0x0000000005713013fcbf8bf0dcc329a5f56b856c2dbe64603e34b47169eaaa50

Upon additional investigation, I discovered this code snippet, which introduces a coefficient of 65535:

if (opt_algo == ALGO_SCRYPT)
    diff_to_target(work->goal, sctx->job.diff / 65536.0);
else
    diff_to_target(work->goal, sctx->job.diff);

This means that the goal for Litecoin needs to be multiplied by 65535. My query is:

• Ought to the goal be scaled by 65535 in the identical manner?
• Why is that this adjustment vital for Scrypt (Litecoin) however not for Bitcoin?
• How do I accurately calculate the goal for Litecoin to keep away from getting shares increased than the calculated goal?

Any steering on this could be appreciated!