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] << 20) + x[0]) 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) Y.sort(key = lambda x: (x[2] << 20) - x[0]) f = min unit = 10 ** 9 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)))