Small Mathematical Puzzles

Tenner Grid (also known as "From 1 to 10", "Zehnergitter", "Grid Ten") consists of a rectangular grid of width ten cells. The task is to fill in the grid so that every row contains the digits 0 through 9. In columns the numbers may be repeated. The bottom numbers give the sum of the numbers in column. The digits in contiguous cells (even diagonally contiguous cells) must be different.