SP87 FOOTBALL - Football

Eric has a classic football that is made of 32 pieces of leather: 12 black pentagons and 20 white hexagons. Each pentagon adjoins 5 hexagons and each hexagon adjoins 3 pentagons and 3 hexagons. Eric drew a polygon (i.e. a closed line without intersections) along the edges of the pieces. The polygon divided the ball into two parts and Eric painted one of them green.  He is curious if given a description of the polygon you are able to compute the number of black, white and green pieces? ### Task Write a program that: - reads the description of a polygon, - computes the number of black, white and green pieces, - writes the result.

The input begins with the integer t, the number of test cases. Then t test cases follow. For each test case, the first line of the input contains one integer n being the number of vertices of the polygon. The second line of the input contains n integers a $ _{1} $ , a $ _{2} $ ,..., a $ _{n} $ separated by single spaces. Integer a $ _{i} $ (equal 1 or 2) is the number of green pieces adjoining the i-th vertex of the polygon. The side of the polygon connecting the n-th and the first vertex always lies between two hexagons.

For each test case the first and only line of the output contains three integers b, w and g - the numbers of black, white and green pieces respectively.