MathDB

There are

7

boxes arranged in a row and numbered

1

through

7

. You have a stack of

2015

cards, which you place one by one in the boxes. The first card is placed in box #

1

, the second in box #

2

, and so forth up to the seventh card which is placed in box #

7

. You then start working back in the other direction, placing the eighth card in box #

6

, the ninth in box #

5

, up to the thirteenth card being placed in box #

1

. The fourteenth card is then placed in box #

2

, and this continues until every card is distributed. What box will the last card be placed in?

Problem Statement