acm-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.
InputThe 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 a1; a2; ... ; an separated by single spaces. Integer ai (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.
OutputThe first and only line of the output contains three integers b, w and g -- the numbers of black, white and green pieces respectively.
Input
Output:
21
1 2 1 2 1 2 1 1 1 2 2 1 1 1 1 2 2 2 1 1 1Output:
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