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in Permutations and combinations by (35 points)
Let \( \lambda \) be an integer. If the shortest distance between the lines \( x-\lambda=2 y-1=-2 z \) and \[ x=y+2 \lambda=z-\lambda \] is \( \frac{\sqrt{7}}{2 \sqrt{2}} \) then the value of \( |\lambda| \) is

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