What is the value in count if input sel$=10$ after the third rising edge of clock based on the following Verilog code:

module Stest$($

$$ input wire clk$,$ input wire $[1$:$0]$ sel, output reg out $=0)$;

integer count$=0$;

always @ $($posedge clk$)$ begin

$$ count $=$ count $+1$;

$$ case $($sel$)$

$0$ : out $=$ ~out;

$1$ : if $($count $==2)$ begin

$$ out $=$ ~out;

$$ count $=0$;

$$ end

$2$ : if $($count $==4)$ begin

$$ out $=$ ~out;

$$ count $=0$;

$$ end

$3$ : if $($count $==8)$ begin

$$ out $=$ ~out;

$$ count $=0$;

$$ end

$$ default: count $=0$;

$$ endcase

end

endmodule

The answer can be $1,2,3,$or $4$