Hidoku no 1 (8 by 8)

I wrote a C program to arrange each of the numbers 1 through 64 in ascending order on the 8x8 grid below. Then I removed numbers at random and tested the remaining clues to see if they made up a hidoku puzzle with a unique solution. I did this using a Python program written by Rainhard Findling, which you can see here. If the puzzle was still valid I carried on. If it was not, I replaced the number I had just removed.

Your job is to replace the numbers I have removed. When you have finished, the grid must contain each of the numbers 1 through 64 exactly once and each number must be horizontally, vertically or diagonally adjacent to the numbers immediately above or below it: 

See answer