Chef And His House

The Chef has bought $N$ boxes of Tiles. The number of tiles present in $i^{th}$ box is $i$ ($i $ varies from $1$ to $N$) . The Chef has two houses with $N$ rooms each, whose floors is a square with area $(i*i)$ ,i varies from $(1....N)$. He want to distribute equal number of tiles from $i^{th}$ box to any two rooms (each room must belong to one house ) such that all tiles of $i^ { t