The letters of the word ABACUS have been arranged in the shape of a triangle. How many different ways can you find to read the word ABACUS from this triangular pattern?
Label the joints and legs of these graph theory caterpillars so that the vertex sums are all equal.
Label this plum tree graph to make it totally magic!
The first square in the top left corner of this sample (1,1) contains a set of two small digits {3 and 8} and the square (1,3) contains a set of three small digits {2, 3 and 9}.
If we colour the squares adjacent to (1,1) with blue, and the squares adjacent to (1,3) with yellow, we find that the square (1,2) is coloured both with blue and yellow. It is the intersection of two sets of coloured squares, hence the name "Intersection Sudoku".
As both squares (1,1) and (1,3) contain the small digit 3 , the number in square (1,2) must be 3. This leaves the square (2,1) with the number 8.