A programmer develops the procedure hasElevenEleven$(),$ which should return true if it ever finds a $1$ next to a $1$ somewhere. For example, hasElevenEleven$([7,1,1])$ should return true, but hasElevenEleven$([1,7,1])$ should return false.

PROCEDURE hasElevenEleven$($numbers$)\{$

i $1$

REPEAT UNTIL $($i $=($LENGTH$($numbers$)-1))\{$

IF $($numbers$[$i$]=1$ AND numbers$[$i $+1]=1)\{$

RETURN true

$\}$

i $$ i $+1$

$\}$

RETURN false

$\}$

The programmer tests it with hasElevenEleven$([1,0,1,1,0])$ and sees that it does indeed return true.

Can the programmer conclude that the procedure works correctly for all inputs?