These instructions can be used to solve a 3x3x3 Rubik’s Cube and also a 2x2x2 Rubik’s mini cube starting from any combination of colors on a mixed up cube. They are from Minh Thai who held the record in late 1981 of 26 second.
The method is
# 1. Solve the top
# 2. and 3. Correctly position and orient the bottom four (remaining four) corners
# 4. and 5. Complete the bottom
# 6. and 7. Correctly position and orient the four remaining middle edge pieces.