Assignment Score

Chef has a total of $N + 1$ assignments. He knows his score on the first $N$ of them, and he is now working on his last assignment. His scores in the first $N$ assignment are $A_1, A_2, ..., A_N$. Each of them are graded out of $100$ marks, and his total marks is just a sum of all his $N + 1$ assignment marks. Chef is now worried about he might fail in his course. He will fail if he scores less t