If |.| denotes the greatest integer less...

If `|.|` denotes the greatest integer less than or equal to the real number under consideration and `-1lt=xlt0,0lt=ylt1,1lt=zlt2`, then the value of the determinant `|(|x|+1,|y|,|z|),(|x|,|y|+1,|z|),(|x|,|y|,|z|+1)|` is

A

`|__z__|`

B

`|__y__|`

C

`|__x__|`

D

`|__x__|+1`

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