Blackjack

Chef is playing a card game called Blackjack. He starts with a deck of $N$ cards (numbered $1$ through $N$), where for each valid $i$, the $i$-th card has an integer $A_i$ written on it. Then he starts dealing the cards one by one in the order from card $1$ to card $N$. Chef wins if at some moment in time, the sum of all the cards dealt so far is between $X$ and $Y$ inclusive; if this never happen