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Problem 6.2. In the late 1960s, the military junta that ousted the government of the small re- public of Nerdia completely outlawed built-in multiplication operations,
Problem 6.2. In the late 1960s, the military junta that ousted the government of the small re- public of Nerdia completely outlawed built-in multiplication operations, and also forbade division by any number other than 3. Fortunately, a young dissident found a way to help the population multiply any two nonnegative integers without risking persecution by the junta. The procedure he taught people is: procedure multiply(x, y: nonnegative integers) s:= y; a:= 0; while s 0 do if 3 | s then r:= r + r + r; s:= s/3, else if 3 | (s - 1) then a:= a + r; r:= r + r + r; s := (s-1)/3; else Problem 6.2. In the late 1960s, the military junta that ousted the government of the small re- public of Nerdia completely outlawed built-in multiplication operations, and also forbade division by any number other than 3. Fortunately, a young dissident found a way to help the population multiply any two nonnegative integers without risking persecution by the junta. The procedure he taught people is: procedure multiply(x, y: nonnegative integers) s:= y; a:= 0; while s 0 do if 3 | s then r:= r + r + r; s:= s/3, else if 3 | (s - 1) then a:= a + r; r:= r + r + r; s := (s-1)/3; else
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