Avoid Fixed Points

Chef has a sequence of $N$ integers $A = [A_1, A_2,\dots,A_N]$. He can perform the following operation any number of times (possibly, zero): - Choose **any** positive integer $K$ and insert it at any position of the sequence (possibly the beginning or end of the sequence, or in between any two elements). For example, if $A=[5,3,4]$ and Chef selects $K=2$, then after the operation he can obtain