Lucky Larry's teacher asked him to substitute numbers for $a,b,c,d,e$ in the expression $a+(b-(c+(d-e)))$ and evaluate the result. Larry ignored the parentheses but added and subtracted correctly and obtained the correct result by coincidence. The numbers Larry substituted for $a,b,c$ were $1,2,3$ respectively, and for $d$ was $5$. What number did Larry substitute for $e$?