n = int(input())
*a, = map(int,input().split())

def merge(a,b):
   la,lb = len(a),len(b)
   res = [0]*(la+lb)
   ia = ib = 0
   for i in range(la+lb):
       if ib==lb:
           res[i:] = a[ia:]
           return res
       if ia==la:
           res[i:] = b[ib:]
           return res
       if a[ia] < b[ib]:
           res[i] = a[ia]
           ia += 1
       else:
           res[i] = b[ib]
           ib += 1
   return res

N0 = 1<<(n-1).bit_length()
dat = [[]]*(2*N0)
for i in range(n):
    dat[N0+i] = [a[i]]
for k in range(N0-1,0,-1):
    dat[k] = merge(dat[2*k], dat[2*k+1])

def getans(lst,x):
    v = INF
    idx = bisect_left(lst,x)
    if idx < len(lst):
        v = lst[idx]-x
    if idx:
        v = min(v,x-lst[idx-1])
    return v

INF = 10**9
from bisect import bisect_left, bisect_right
Q = int(input())
for _ in range(Q):
    L,R,x = map(int,input().split())
    L += N0-1; R += N0
    ans = INF
    while L < R:
        if R & 1:
            R -= 1
            ans = min(ans,getans(dat[R],x))
        if L & 1:
            ans = min(ans,getans(dat[L],x))
            L += 1
        L >>= 1; R >>= 1
    print(ans)