import sys
input = lambda: sys.stdin.readline().rstrip()

class SegmentTree():
    def __init__(self, init, unitX, f):
        self.f = f # (X, X) -> X
        self.unitX = unitX
        self.f = f
        if type(init) == int:
            self.n = init
            self.n = 1 << (self.n - 1).bit_length()
            self.X = [unitX] * (self.n * 2)
        else:
            self.n = len(init)
            self.n = 1 << (self.n - 1).bit_length()
            self.X = [unitX] * self.n + init + [unitX] * (self.n - len(init))
            for i in range(self.n-1, 0, -1):
                self.X[i] = self.f(self.X[i*2], self.X[i*2|1])
        
    def update(self, i, x):
        i += self.n
        self.X[i] = x
        i >>= 1
        while i:
            self.X[i] = self.f(self.X[i*2], self.X[i*2|1])
            i >>= 1
    
    def getvalue(self, i):
        return self.X[i + self.n]
    
    def getrange(self, l, r):
        l += self.n
        r += self.n
        al = self.unitX
        ar = self.unitX
        while l < r:
            if l & 1:
                al = self.f(al, self.X[l])
                l += 1
            if r & 1:
                r -= 1
                ar = self.f(self.X[r], ar)
            l >>= 1
            r >>= 1
        return self.f(al, ar)
    
    # Find r s.t. calc(l, ..., r-1) = True and calc(l, ..., r) = False
    def max_right(self, l, z):
        if l >= self.n: return self.n
        l += self.n
        s = self.unitX
        while 1:
            while l % 2 == 0:
                l >>= 1
            if not z(self.f(s, self.X[l])):
                while l < self.n:
                    l *= 2
                    if z(self.f(s, self.X[l])):
                        s = self.f(s, self.X[l])
                        l += 1
                return l - self.n
            s = self.f(s, self.X[l])
            l += 1
            if l & -l == l: break
        return self.n
    
    # Find l s.t. calc(l, ..., r-1) = True and calc(l-1, ..., r-1) = False
    def min_left(self, r, z):
        if r <= 0: return 0
        r += self.n
        s = self.unitX
        while 1:
            r -= 1
            while r > 1 and r % 2:
                r >>= 1
            if not z(self.f(self.X[r], s)):
                while r < self.n:
                    r = r * 2 + 1
                    if z(self.f(self.X[r], s)):
                        s = self.f(self.X[r], s)
                        r -= 1
                return r + 1 - self.n
            s = self.f(self.X[r], s)
            if r & -r == r: break
        return 0
    
    def debug(self):
        print("debug")
        print([self.getvalue(i) for i in range(min(self.n, 20))])

N = int(input())
X = [int(a) for a in input().split()]
Y = []
Q = int(input())
for i in range(Q):
    l, r, x = map(int, input().split())
    Y.append((l-1, r, x, i))

for i, x in enumerate(X):
    Y.append((-1, -1, x, i))
Y.sort(key = lambda x: x[2])

ANS = [10 ** 9] * Q
f = max
unit = -10 ** 9
st = SegmentTree(N + 2, unit, f)    

for l, r, x, i in Y:
    if l >= 0:
        m = st.getrange(l, r)
        ANS[i] = min(ANS[i], x - m)
    else:
        st.update(i, x)

f = min
unit = 10 ** 9 * 2
st = SegmentTree(N + 2, unit, f)    

for l, r, x, i in Y[::-1]:
    if l >= 0:
        m = st.getrange(l, r)
        ANS[i] = min(ANS[i], m - x)
    else:
        st.update(i, x)
print("\n".join(map(str, ANS)))