import sys
input = sys.stdin.readline
 
# https://github.com/tatyam-prime/SortedSet/blob/main/SortedSet.py
import math
from bisect import bisect_left, bisect_right
from typing import Generic, Iterable, Iterator, TypeVar, Union, List
T = TypeVar('T')
 
class SortedSet(Generic[T]):
    BUCKET_RATIO = 50
    REBUILD_RATIO = 170
 
    def _build(self, a=None) -> None:
        "Evenly divide `a` into buckets."
        if a is None:
            a = list(self)
        size = self.size = len(a)
        bucket_size = int(math.ceil(math.sqrt(size / self.BUCKET_RATIO)))
        self.a = [a[size * i // bucket_size: size *
                    (i + 1) // bucket_size] for i in range(bucket_size)]
 
    def __init__(self, a: Iterable[T] = []) -> None:
        "Make a new SortedSet from iterable. / O(N) if sorted and unique / O(N log N)"
        a = list(a)
        if not all(a[i] < a[i + 1] for i in range(len(a) - 1)):
            a = sorted(set(a))
        self._build(a)
 
    def __iter__(self) -> Iterator[T]:
        for i in self.a:
            for j in i:
                yield j
 
    def __reversed__(self) -> Iterator[T]:
        for i in reversed(self.a):
            for j in reversed(i):
                yield j
 
    def __len__(self) -> int:
        return self.size
 
    def __repr__(self) -> str:
        return "SortedSet" + str(self.a)
 
    def __str__(self) -> str:
        s = str(list(self))
        return "{" + s[1: len(s) - 1] + "}"
 
    def _find_bucket(self, x: T) -> List[T]:
        "Find the bucket which should contain x. self must not be empty."
        for a in self.a:
            if x <= a[-1]:
                return a
        return a
 
    def __contains__(self, x: T) -> bool:
        if self.size == 0:
            return False
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        return i != len(a) and a[i] == x
 
    def add(self, x: T) -> bool:
        "Add an element and return True if added. / O(√N)"
        if self.size == 0:
            self.a = [[x]]
            self.size = 1
            return True
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        if i != len(a) and a[i] == x:
            return False
        a.insert(i, x)
        self.size += 1
        if len(a) > len(self.a) * self.REBUILD_RATIO:
            self._build()
        return True
 
    def discard(self, x: T) -> bool:
        "Remove an element and return True if removed. / O(√N)"
        if self.size == 0:
            return False
        a = self._find_bucket(x)
        i = bisect_left(a, x)
        if i == len(a) or a[i] != x:
            return False
        a.pop(i)
        self.size -= 1
        if len(a) == 0:
            self._build()
        return True
 
    def lt(self, x: T) -> Union[T, None]:
        "Find the largest element < x, or None if it doesn't exist."
        for a in reversed(self.a):
            if a[0] < x:
                return a[bisect_left(a, x) - 1]
 
    def le(self, x: T) -> Union[T, None]:
        "Find the largest element <= x, or None if it doesn't exist."
        for a in reversed(self.a):
            if a[0] <= x:
                return a[bisect_right(a, x) - 1]
 
    def gt(self, x: T) -> Union[T, None]:
        "Find the smallest element > x, or None if it doesn't exist."
        for a in self.a:
            if a[-1] > x:
                return a[bisect_right(a, x)]
 
    def ge(self, x: T) -> Union[T, None]:
        "Find the smallest element >= x, or None if it doesn't exist."
        for a in self.a:
            if a[-1] >= x:
                return a[bisect_left(a, x)]
 
    def __getitem__(self, x: int) -> T:
        "Return the x-th element, or IndexError if it doesn't exist."
        if x < 0:
            x += self.size
        if x < 0:
            raise IndexError
        for a in self.a:
            if x < len(a):
                return a[x]
            x -= len(a)
        raise IndexError
 
    def index(self, x: T) -> int:
        "Count the number of elements < x."
        ans = 0
        for a in self.a:
            if a[-1] >= x:
                return ans + bisect_left(a, x)
            ans += len(a)
        return ans
 
    def index_right(self, x: T) -> int:
        "Count the number of elements <= x."
        ans = 0
        for a in self.a:
            if a[-1] > x:
                return ans + bisect_right(a, x)
            ans += len(a)
        return ans
 
################################
from math import sqrt, ceil

M = 10 ** 9 + 5
def encode(l, r, x, ind):
    return  (r * N * M + l * M + x) * Q + ind

def decode(v):
    ind = v % Q
    v //= Q
    x = v % M
    v //= M
    r, l = divmod(v, N)
    return l, r, x, ind

N = int(input())
X = list(map(int, input().split()))
B = ceil(sqrt(N))

query = [[] for _ in range(N//B + 1)]
Q = int(input())
for i in range(Q):
    l, r, x = map(int, input().split())
    l, r = l - 1 , r - 1
    query[l//B].append(encode(l, r, x, i))

for i in range(N//B + 1):
    if i % 2:
        query[i].sort(reverse=True)
    else:
        query[i].sort()

SS = SortedSet()
inf = 10 ** 18
SS.add(inf)
SS.add(-inf)
nowL, nowR = 0, 0
SS.add(X[0])
ans = [-1] * Q
for q in range(N//B + 1):
    for v in query[q]:
        l, r, x, ind = decode(v)
        while nowL < l:
            SS.discard(X[nowL])
            nowL += 1
        while nowL > l:
            nowL -= 1
            SS.add(X[nowL])
        while nowR < r:
            nowR += 1
            SS.add(X[nowR])
        while nowR > r:
            SS.discard(X[nowL])
            nowR -= 1
        u = SS.ge(x)
        d = SS.le(x)
        ans[ind] = min(u-x, x-d)

for a in ans:
    print(a)