Question 22
The letters $A,$ $J,$ $H,$ $S,$ $M,$ $E$ and the digits $1,$ $9,$ $8,$ $9$ are each cycled separately (shifted one place at a time) to build a numbered list. Starting from AJHSME $1989,$ the list begins: line $1$ is JHSMEA $9891,$ line $2$ is HSMEAJ $8919,$ line $3$ is SMEAJH $9198,$ and so on. On what numbered line will AJHSME $1989$ appear for the first time?