Don't have your CAPS LOCK on when entering numbers. Then entered numbers are tiny (about 1/16 normal size) and locate in the upper-left corner of the square. You don't have to restart the game to change it, just toggle off the CAPS LOCK and overtype the small numbers.
Shift and the number (or CAPS-LOCK) is for entering possible numbers (as mentioned on the product page). That way you can keep track of the possible solutions.
Sometimes, the impossible can become possible, if you're awesome!