solve a+b+c+d = 1 and (1-a)^2 = a^2 + (1-a-b)^2 and (1-a)^2 = a^2+b^2 +(1-a-b-c)^2 and (1-a)^2 = a^2+b^2+c^2 + (1-a-b-c-d)^2

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