Puddles!

One thing Nala loves when we take a walk after it rained is to walk through or even jump around in puddles. She also likes to take a quick sip from each one. Do they taste different?

Today - after a heavy rain - Nala is greeted by loads of puddles that make the path a bit difficult to find.

Normal sudoku rules apply. Place the digits 1-9 in every row, column and 3x3 box exactly once each.

The grid is partially covered in fog. Entering correct digits will clear the fog from surrounding cells, possibly revealing more clues.

Digits in cells that are connected by a white dot are consecutive. Digits in cells that are connected by a black dot are in a 1:2 ratio. Not all possible dots are given. (There is no negative constraint.)

Help Sandra to avoid stepping into puddles: Shade some cells (the path) such that all shaded cells are orthogonally connected and no 2x2 is entirely shaded.

Every contiguous set of unshaded cells is a puddle. Each puddle has to contain exactly one circled cell. The circled digit indicates the size of that puddle. Puddles cannot touch each other orthogonally, but may do so diagonally. Additionally, every puddle contains each number from 1 to its size exactly once.