Problem I
Identifying Map Tiles
Map websites such as Bing Maps and Google Maps often store their maps as many different image files, called tiles. The lowest zoom level (level $0$) consists of a single tile with a lowdetail image of the whole map, zoom level $1$ consists of four tiles each containing a slightly more detailed version of a quarter of the map, and in general zoom level $n$ contains $4^ n$ different tiles that each contain a part of the map.
One way of identifying a tile is by means of a quadkey. A quadkey is a string of digits uniquely identifying a tile at a certain zoom level. The first digit specifies in which of the four quadrants of the whole map the tile lies: 0 for the topleft quadrant, 1 for the topright quadrant, 2 for the bottomleft quadrant and 3 for the bottomright quadrant. The subsequent digits specify in which sub quadrant of the current quadrant the tile is. The quadkeys for zoom levels $1$ to $3$ are shown in Figure 1(a).
(a) Quadkeys for zoom levels $1$ to $3$ 
(b) Coordinates for zoom level 3 
Another way of identifying a tile is to give the zoom level and $x$ and $y$ coordinates, where $(0,0)$ is the lefttop corner. The coordinates for the tiles of zoom level 3 are shown in Figure 1(b). Given the quadkey of a tile, output the zoom level and $x$ and $y$ coordinates of that tile.
Input
The input consists of:

one line with a string $s$ ($1\leq \text {length}(s) \leq 30$), the quadkey of the map tile.
The string $s$ consists of only the digits ‘0’, ‘1’, ‘2’ and ‘3’.
Output
Output three integers, the zoom level and the $x$ and $y$ coordinates of the tile.
Sample Input 1  Sample Output 1 

3 
1 1 1 
Sample Input 2  Sample Output 2 

130 
3 6 2 