Question: For Q4, if half of my proof was based on an assertation that was wrong, but I end up obtaining one of the 2 possible values for n, how many marks would I lose?
Another question: How would the markers mark Q5, the answer is quite easy to obtain (250) but how rigorous does your proof need to be?
Another question: For Q2, is it enough to show that if 2 numbers in the sequence differed by k, then the next number will never be consecutive unless k is 1?
Another question: For Q1, if I didn't get an answer, but I noticed the fact that if you shift one of the letters to the left, all the letters that have been passed by that letter can't move (e.g. OLYMSPIAD, S is shifted to the left so PIAD cannot move), how many marks would I get for that?
Sorry for dumping these questions on you guys, but as I said, this is the first BMO I have ever done. I did do the hamilton last year, but I'm not sure if they mark it in the same way. I would also appreciate it if someone explained to me how BMO1 is marked.