def rotate$\_$list$($lst$)$:

initial$\_$list $=$ lst$.$copy$()$

rotations $=0$

while True:

print$($lst$)$

first$\_$element $=$ lst$[0]$

lst $=$ lst$[1$:$]$

lst$.$append$($first$\_$element$)$

rotations $+=1$

if lst $==$ initial$\_$list:

print$($lst$)$

break

print$("$Number of rotations:", rotations$)$

# Test cases

test$\_$cases $=[[4,2,4,3,3,1,2],[1,2,1,2]]$

for test in test$\_$cases:

print$("$Input:$",$ test$)$

rotate$\_$list$($test$)$

print$()$