A discrete time linear shift-invariant system has an impulse response $h[n]$ with $h[0]=1, h[1]=-1$, $h[2]=2$, and zero otherwise. The system is given an input sequence $x[n]$ with $x[0]=x[2]=1$, and zero otherwise. The number of nonzero samples in the output sequence $y[n]$, and the value of $y[2]$ are, respectively
- $5,2$
- $6,2$
- $6,1$
- $5,3$