Consider the transactions T$1,12,$ and $13$ and the schedules S$1$ and S$2$ given below. Tl:rl$($X$)$;$1($Z$)$;w$1($X$)$;w$1($Z$)$

$12.$ r$2($Y$)$;r$2($Z$)$;w$2($Z$)$

T$3$: $13($Y$)$:r$3($X$)$;w$3($Y$)$

S$1$: rl$($X$)$;$3($Y$)$;$13($X$)$;$12($Y$)$;r$2($Z$)$: w$3($Y$)$ W$2($Z$)1($Z$)$;wI$($X$)$;wl$($Z$)$

S$2$: rl$($X$)$; r$3($Y$),$ r$2($Y$)$; $3($X$)$; l$($Z$)$;

r$2($Z$)$; w$3($Y$)$; w$1($X$),$ w$2($Z$)$; w$1($Z$)$

Analyze which one of the schedules is conflict$-$serializable?