Bag puzzle

Details

Bag puzzle is logic puzzle game. The object is to draw a single, continuous loop along the lines of the grid, which contains all the numbers on the grid. Additionally, each number denotes the sum of all cells visible in any orthogonal direction before line of the loop is reached. For example, a 2 cell will have one cell adjacent to it, followed by a wall of the loop. In other words, if we treat the loop as a wall, each number denotes the number of cells can be seen from the cell with the number when looking orthogonally, the cell itself included.