$1.$ Given the following input $(4523,1433,1471,9769,1989,7161,7163,4197)$ and the hash function x mod $9,$ which of the following statements are true?

i$.4523,$ and $6197$ hash to the same value

ii$.9769$ and $1471$ hash to the same value

iii. All elements hash to the same value

iv$.$ Each element hashes to a different value

$($A$)$ i only

$($B$)$ ii only

$($C$)$ i and ii only

$($D$)$ iii or iv

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