Elections

Two candidates, $A$ and $B$, are contesting an election across $N$ states (where $N$ is **odd**). A candidate wins in a state if they receive more votes than their opponent. The candidate who wins in more than half of the states, wins the election. In the $i^{th}$ state, candidate $A$ has received $A_i$ votes and candidate $B$ has received $B_i$ votes. Chef has the power to cast $X$ votes, and h