fn read() -> (Vec<u32>, Vec<(usize, usize, u32)>) {
    use std::io::*;
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut it = s.trim().split_whitespace();
    let mut next = || it.next().unwrap().parse::<u32>().unwrap();
    let n = next();
    let x = (0..n).map(|_| next()).collect::<Vec<_>>();
    let q = next();
    let ask = (0..q).map(|_| {
        let l = next() as usize - 1;
        let r = next() as usize;
        let x = next();
        (l, r, x)
    }).collect::<Vec<_>>();
    (x, ask)
}

fn main() {
    let (x, ask) = read();
    let size = x.len().next_power_of_two();
    let mut seg = vec![vec![]; 2 * size];
    for (seg, x) in seg[size..].iter_mut().zip(x.into_iter()) {
        seg.push(x);
    }
    for i in (1..size).rev() {
        let mut a = Vec::with_capacity(seg[2 * i].len() + seg[2 * i + 1].len());
        a.extend_from_slice(&seg[2 * i]);
        a.extend_from_slice(&seg[2 * i + 1]);
        a.sort();
        a.dedup();
        seg[i] = a;
    }
    let calc = |a: &[u32], x: u32| -> u32 {
        let y = a.binary_search_by_key(&(x, 0), |a| (*a, 1)).unwrap_err();
        let mut ans = std::u32::MAX;
        a.get(y).map(|a| ans = ans.min(*a - x));
        a.get(y - 1).map(|a| ans = ans.min(x - *a));
        ans
    };
    let find = |mut l: usize, mut r: usize, x: u32| -> u32 {
        l += size;
        r += size;
        let mut ans = std::u32::MAX;
        while l < r {
            if l & 1 == 1 {
                ans = ans.min(calc(&seg[l], x));
                l += 1;
            }
            if r & 1 == 1 {
                r -= 1;
                ans = ans.min(calc(&seg[r], x));
            }
            l >>= 1;
            r >>= 1;
        }
        ans
    };
    use std::io::Write;
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    for (l, r, x) in ask {
        writeln!(out, "{}", find(l, r, x)).ok();
    }
}