Number of connected components while removing an articulation point

I want to calculate number of connected components an articulation/cut vertex generates while removing it. I am calculating it as number of children +1 in dfs tree of the graph( for root, number of children only if cut vertex). Am I correct? If not, then what is the correct algorithm? I am getting wa repeatedly for this problem. http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=1706