class segment_tree:
    __slots__ = ["op_M", "e_M","N","N0","dat"]
    def __init__(self, N, operator_M, e_M):
        self.op_M = operator_M
        self.e_M = e_M
        self.N = N
        self.N0 = 1<<(N-1).bit_length()
        self.dat = [self.e_M]*(2*self.N0)
    
    # 長さNの配列 initial で初期化
    def build(self, initial):
        assert self.N == len(initial)
        self.dat[self.N0:self.N0+len(initial)] = initial[:]
        for k in range(self.N0-1,0,-1):
            self.dat[k] = self.op_M(self.dat[2*k], self.dat[2*k+1])

    # a_k の値を x に更新
    def update(self,k,x):
        k += self.N0
        self.dat[k] = x
        k >>= 1
        while k:
            self.dat[k] = self.op_M(self.dat[2*k], self.dat[2*k+1])
            k >>= 1

    # 区間[L,R]をopでまとめる
    def query(self,L,R):
        L += self.N0; R += self.N0 + 1 
        sl = sr = self.e_M
        while L < R:
            if R & 1:
                R -= 1
                sr = self.op_M(self.dat[R],sr)
            if L & 1:
                sl = self.op_M(sl,self.dat[L])
                L += 1
            L >>= 1; R >>= 1
        return self.op_M(sl,sr)

    def get(self, k): #k番目の値を取得。query[k,k]と同じ
        return self.dat[k+self.N0]


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

def merge(a,b):
    return sorted(a+b)
seg = segment_tree(n, merge, [])
seg.build([[ai] for ai in a])

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())
N0 = seg.N0
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(seg.dat[R],x))
        if L & 1:
            ans = min(ans,getans(seg.dat[L],x))
            L += 1
        L >>= 1; R >>= 1
    print(ans)