Locker Problem(: .........

The Locker problem goes through the pattern of 1,2,1,41,6,1,8 and so on there are 31 perfect lockers open and the lockers what are open arelockers:*1*49*19*625*4*64*225*67*9*81*256*784*16*100*289*84*25 *124*361*961*36 *144*361*961*169*400*441*484*529. the square roots are open because they only the root number are not like the rest have an even number of factors. And so there are 31 perfect squares in 1000.