Assuming that none of the numbers contain any leading zero, it can be observed that none of the alphametics: LEVEL+LEVEL = AWESOME or, LEVEL+LEVEL+LEVEL = AWESOME possess any solution. In other words, when LEVEL is added twice (or thrice), it does not equal AWESOME. (Each of the capital letters denotes a different base ten digit from 0 to 9)
(i) What are the respective minimum and maximum number of times that LEVEL can be added to make AWESOME?
(ii) What further solutions are there for (i), assuming that the numbers can contain leading zeroes? Of these additional answers, what are the respective minimum and maximum number of times that LEVEL can be added?