The way _____ you thought of is just the same way ______ I worked out the math problem.

第一个空我知道填that,which和省略都可以，第二个空填as还是that？如果吧考虑定语从句的规则，可不可以把as 当作方式状语从句？大家探讨下哈，谢谢。
另外一道题，There are pictures of Tom ____ he was a child.
填when 还是where?大家探讨哈，谢谢大家。

可能是被same迷惑了，你可以去掉它，就可以知道way做先行词要用that，如果用as后面应该缺少成分by it
where，先行词是picture，where相当于in picture

i thought you'd want the same for me you'd want the same for me.是宾语从句。