import sys
from bisect import bisect

read = sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines

INF = 1 << 30

def main(V, query):
    def merge(C, A, B):
        NA, NB = len(A), len(B)
        i, j = 0, 0
        for _ in range(NA + NB):
            if i == NA:
                C.append(B[j])
                j += 1
            elif j == NB:
                C.append(A[i])
                i += 1
            else:
                if A[i] > B[j]:
                    C.append(B[j])
                    j += 1
                else:
                    C.append(A[i])
                    i += 1
        return C

    N = len(V)
    seg = [[] for _ in range(N + N)]
    for i in range(N):
        seg[N + i].append(V[i])
    for i in range(N - 1, 0, -1):
        merge(seg[i], seg[i + i], seg[i + i + 1])

    def nearest(A, x):
        n = len(A)
        i = bisect(A, x)
        v = INF
        if i > 0:
            v = x - A[i - 1]
        if i < n:
            v = min(v, A[i] - x)
        return v

    for L, R, x in query:
        L -= 1
        L += N
        R += N
        v = INF
        while L < R:
            if L & 1:
                v = min(v, nearest(seg[L], x))
                L += 1
            if R & 1:
                R -= 1
                v = min(v, nearest(seg[R], x))
            L, R = L >> 1, R >> 1
        print(v)

N = int(readline())
X = tuple(map(int, readline().split()))
Q = int(readline())
m = map(int, read().split())
query = tuple(zip(m, m, m))

main(X, query)