Puzzle # 4: Fillomino

Turkzeka = ?

Example :

Fy = ?

Solution of Example :

Fy = 0006685

The Goal:
The goal is to fill each blank cell with a integer(1 to 7) and divide the board into several blocks.
(1, 22, 333, 4444, 55555, 666666, 7777777)

Rules :
- Each block consists of one ore more consecutive cells (forms a polymino),
- All the cells in a block are filled with the same integer, which equals to the area of the block,
- Blocks with the same area do not share their edges.

The Route :
After the solving the Fillomino Puzzle, the logic of the transformation string to numerical value
will find out by making use of the example. (Fy=0006685)

Find the numerical value of the TurkZeka with same logic and enter it as answer.