I have some maths puzzles which I've been trying to figure out for ages but have not succeeded. I'd really appreciate it if someone could help me out. Thanks, Josh.

**Number sequence - 1**

Here's a number sequence:

1, 11, 21, 1211, 111221, 312211...

Find the rule and post two next numbers in the sequence.

**Number sequence - 2**

Another number sequence, totally different rule, and it's tougher than previous.

111, 112, 21123, 1312, 2114, 121, 25262, 73123...

Find the rule and post two next numbers in the sequence.

**Number sequence** - 3

101010, 1120, 222, 132, 110, ...

**One more sequence**

What numbers should be put instead of question marks:

4, 7, 6, 2, 3, 7, 2, ?, ?.

**Two integers**

I'm thinking of two integer numbers, each if them is more than 1 and their sum is less than 100.

I tell my friend Josh the sum of these two numbers, and another friend, Polly, product of these two numbers.

Then such a dialog took place:

P: I can't determine what are these numbers.

S: Ah, i knew you wouldn't be able to do this.

P: Oh, then i know what they are!

S: Oh, then i know them too!

Can you determine the numbers?

Good luck, Josh.