Para evitar erros de cancelamento em operações de subtração de dois numa notação de ponto é comum reorganizar as operações. Seja a expressão: onde ...

Para evitar erros de cancelamento em operações de subtração de dois numa notação de ponto é comum reorganizar as operações. Seja a expressão: onde = 100000 num computador FP(10,5, -6,6), observe que nesse computador T +1 = para = resultando = 0. Determine uma expressão equivalente e o seu valor para = 100000. Para evitar erros de cancelamento, podemos reescrever a expressão como: = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( - ) + = ( -