/*	author:  Kite_kuma
	created: 2021.01.08 22:00:19 */

// #ifdef LOCAL
// #define _GLIBCXX_DEBUG
// #endif
#include <bits/stdc++.h>
using namespace std;

#pragma region aliases

#define rep(i, n) for(long long i = 0; i < (n); i++)
#define rrep(i, n) for(long long i = (n)-1; i > -1; i--)
#define Rep(i, m, n) for(long long i = (m); i < (n); i++)
#define rRep(i, m, n) for(long long i = (n)-1; i >= (m); i--)
#define REP(i, m, n, p) for(long long i = m; i < n; i += p)
#define foa(s, v) for(auto &s : v)
#define all(v) (v).begin(), (v).end()
#define rall(v) (v).rbegin(), (v).rend()
#define bcnt(n) __builtin_popcountll(n)

using ll = long long;
using ld = long double;
using ull = unsigned long long;
using vb = vector<bool>;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using vvvi = vector<vector<vector<int>>>;
using vll = vector<ll>;
using vvll = vector<vll>;
using vvvll = vector<vvll>;
template <class T = ll>
using V = vector<T>;
template <class T = ll>
using VV = V<V<T>>;
template <class T = ll>
using VVV = V<V<V<T>>>;
template <class T = ll>
using pqup = priority_queue<T, vector<T>, greater<T>>;
template <class T = ll>
using pqdn = priority_queue<T>;

#pragma endregion

#pragma region constants

long long const dekai = 1e18;
const long double pi = acos(-1);
const char dl = '\n';
const char sp = ' ';
int dx[8] = {1, 0, -1, 0, 1, 1, -1, -1};
int dy[8] = {0, 1, 0, -1, -1, 1, -1, 1};

const int mod = 1000000007;
// const int mod = 998244353;

#pragma endregion

#pragma region basic_procedure

template <class T>
inline bool isin(T x, T lef, T rig) {
	return ((lef <= x) && (x < rig));
}

template <class T>
inline bool chmin(T &a, T b) {
	if(a > b) {
		a = b;
		return true;
	}
	return false;
}
template <class T>
inline bool chmax(T &a, T b) {
	if(a < b) {
		a = b;
		return true;
	}
	return false;
}

void Yes(bool f = 1) { cout << (f ? "Yes" : "No") << '\n'; }
void No() { cout << "No\n"; }
void YES(bool f = 1) { cout << (f ? "YES" : "NO") << '\n'; }
void NO() { cout << "NO\n"; }

template <class T>
void drop(T answer) {
	cout << answer << '\n';
	exit(0);
}

void err(bool flag) {
	if(!flag) return;
	cout << -1 << '\n';
	exit(0);
}

template <class T>
void vout(vector<T> const &v, bool tate = 0) {
	if(tate) {
		for(auto const &a : v) {
			cout << a << '\n';
		}
		return;
	}
	for(auto it = v.begin(); it != v.end(); it++) {
		cout << (*it);
		if(it != v.end() - 1) {
			cout << ' ';
		}
	}
	cout << '\n';
	return;
}

inline void print() { cout << '\n'; }
template <class T>
inline void print(T x) {
	cout << x << '\n';
	return;
}
template <typename Head, typename... Tail>
void print(Head H, Tail... T) {
	cout << H << " ";
	print(T...);
}

template <class T>
void add(vector<T> &v, T val) {
	for(auto &a : v) a += val;
	return;
}

template <class T>
T dup(T a, T b) {
	assert(b != 0);
	T x = abs(a);
	T y = abs(b);
	T z = (x + y - 1) / y;
	if((a < 0 && b > 0) || (a > 0 && b < 0))
		return -z;
	else if(a == 0)
		return 0;
	else
		return z;
}

template <class T>
T greatest_lower_multiple(T x, T d) {
	if(d == 0) return 0;
	if(d < 0) d *= -1;
	T y = x % d;
	if(y < 0) y += d;
	return x - y;
}

template <class T>
T least_upper_multiple(T x, T d) {
	return -greatest_lower_multiple(-x, d);
}

long long POW(long long a, long long n) {
	long long res = 1;
	while(n > 0) {
		if(n & 1) res = res * a;
		a = a * a;
		n >>= 1;
	}
	return res;
}

long long modpow(long long a, long long n, long long mod) {	 // a^n mod
	assert(n >= 0);
	if(mod == 1) return 0LL;
	long long res = 1;
	while(n > 0) {
		if(n & 1) res = res * a % mod;
		a = a * a % mod;
		n >>= 1;
	}
	return res;
}

// a * x % mod == __gcd(a,mod)なるxを返す
// a が modの倍数でないことが条件
long long modinv(long long a, long long mod) {
	long long b = mod, u = 1, v = 0;
	while(b) {
		long long t = a / b;
		a -= t * b;
		swap(a, b);
		u -= t * v;
		swap(u, v);
	}
	u %= mod;
	if(u < 0) u += mod;
	return u;
}

vvll comb(100, vll(100, -1));
long long com(long long n, long long k) {  //普通の二項計数
	assert(n < 100 && k < 100);
	if(n < k || k < 0 || n < 0) return 0;
	if(comb[n][k] != -1) return comb[n][k];
	ll res;
	if(n - k < k)
		res = com(n, n - k);
	else if(k == 0)
		res = 1;
	else
		res = com(n - 1, k - 1) + com(n - 1, k);
	comb[n][k] = res;
	return res;
}

const int MAX = 5100000;  // about 300ms, when MAX = 3*10^7 : 1900ms
long long fac[MAX], finv[MAX], inv[MAX];

void cominit() {
	fac[0] = fac[1] = 1;
	finv[0] = finv[1] = 1;
	inv[1] = 1;
	for(int i = 2; i < MAX; i++) {
		fac[i] = fac[i - 1] * i % mod;
		inv[i] = mod - inv[mod % i] * (mod / i) % mod;
		finv[i] = finv[i - 1] * inv[i] % mod;
	}
}
long long commod(long long n, long long k) {
	if(n < k) return 0;
	if(n < 0 || k < 0) return 0;
	return fac[n] * (finv[k] * finv[n - k] % mod) % mod;
}
long long pmod(long long n, long long k) {
	if(n < k) return 0;
	if(n < 0 || k < 0) return 0;
	return fac[n] * finv[n - k] % mod;
}
// n個の区別しないボールを区別するk個の箱に入れる方法の総数
long long hmod(long long n, long long k) {	// 重複組み合わせ
	return commod(n + k - 1, n);
}
#pragma endregion

#pragma region input
#define VEC(type, name, size) \
	vector<type> name(size);  \
	INPUT(name)
#define VVEC(type, name, h, w)                     \
	vector<vector<type>> name(h, vector<type>(w)); \
	INPUT(name)
#define INT(...)     \
	int __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define LL(...)            \
	long long __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define STR(...)        \
	string __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define CHAR(...)     \
	char __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define DOUBLE(...)     \
	double __VA_ARGS__; \
	INPUT(__VA_ARGS__)
#define LD(...)              \
	long double __VA_ARGS__; \
	INPUT(__VA_ARGS__)

template <class T>
void scan(T &a) {
	cin >> a;
}
template <class T>
void scan(vector<T> &a) {
	for(auto &i : a) scan(i);
}
template <class T, class L>
void scan(pair<T, L> &p) {
	scan(p.first);
	scan(p.second);
}
void INPUT() {}
template <class Head, class... Tail>
void INPUT(Head &head, Tail &... tail) {
	scan(head);
	INPUT(tail...);
}

template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
	is >> p.first >> p.second;
	return is;
}
#pragma endregion

#pragma region debug

#pragma region output
template <typename T1, typename T2>
std::ostream &std::operator<<(std::ostream &os, const std::pair<T1, T2> &p) {
	os << p.first << " " << p.second;
	return os;
}
template <class T>
std::ostream &std::operator<<(std::ostream &os, const std::vector<T> &v) {
	for(int i = 0; i < (int)v.size(); i++) {
		if(i) os << " ";
		os << v[i];
	}
	return os;
}
#pragma endregion

#pragma region view

template <typename T>
void view(const T e) {
	std::cerr << e;
}

template <typename T, typename U>
void view(const std::pair<T, U> &p) {
	std::cerr << "(";
	view(p.first);
	std::cerr << ", ";
	view(p.second);
	std::cerr << ")";
}

template <typename T>
void view(const std::set<T> &s) {
	if(s.empty()) {
		std::cerr << "{ }";
		return;
	}
	std::cerr << "{ ";
	for(auto &t : s) {
		view(t);
		std::cerr << ", ";
	}
	std::cerr << "\b\b }";
}

template <typename T>
void view(const std::unordered_set<T> &s) {
	if(s.empty()) {
		std::cerr << "{ }";
		return;
	}
	std::cerr << "{ ";
	for(auto &t : s) {
		view(t);
		std::cerr << ", ";
	}
	std::cerr << "\b\b }";
}

template <typename T>
void view(const std::vector<T> &v) {
	if(v.empty()) {
		std::cerr << "{ }";
		return;
	}
	std::cerr << "{ ";
	for(const auto &e : v) {
		view(e);
		std::cerr << ", ";
	}
	std::cerr << "\b\b }";
}

template <typename T>
void view(const std::vector<std::vector<T>> &vv) {
	std::cerr << "{\n";
	for(const auto &v : vv) {
		std::cerr << "\t";
		view(v);
		std::cerr << '\n';
	}
	std::cerr << "}";
}

template <typename T, typename U>
void view(const std::vector<std::pair<T, U>> &v) {
	std::cerr << "{\n";
	for(const auto &c : v) {
		std::cerr << "\t(";
		view(c.first);
		std::cerr << ", ";
		view(c.second);
		std::cerr << ")\n";
	}
	std::cerr << "}";
}

template <typename T, typename U>
void view(const std::map<T, U> &m) {
	std::cerr << "{\n";
	for(const auto &t : m) {
		std::cerr << "\t[";
		view(t.first);
		std::cerr << "] : ";
		view(t.second);
		std::cerr << '\n';
	}
	std::cerr << "}";
}

template <typename T, typename U>
void view(const std::unordered_map<T, U> &m) {
	std::cerr << "{\n";
	for(const auto &t : m) {
		std::cerr << "\t[";
		view(t.first);
		std::cerr << "] : ";
		view(t.second);
		std::cerr << '\n';
	}
	std::cerr << "}";
}

#pragma endregion

// when debugging : g++ foo.cpp -DLOCAL
#ifdef LOCAL
void debug_out() {}
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
	view(H);
	std::cerr << ", ";
	debug_out(T...);
}
#define debug(...)                                                \
	do {                                                          \
		std::cerr << __LINE__ << " [" << #__VA_ARGS__ << "] : ["; \
		debug_out(__VA_ARGS__);                                   \
		std::cerr << "\b\b]\n";                                   \
	} while(0)
#define dump(x)                                      \
	do {                                             \
		std::cerr << __LINE__ << " " << #x << " : "; \
		view(x);                                     \
		std::cerr << '\n';                           \
	} while(0)

#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif

#pragma endregion

template <class T = long long>
class ST {	//非再帰抽象化セグ木
   private:
	int n;
	vector<T> data;
	T unit;
	function<T(T, T)> operation;

   public:
	ST(int _n, function<T(T, T)> _operation, T _unit) : n(_n), operation(_operation), unit(_unit) {
		data.assign(n * 2, unit);  // 初期化変数がない場合単位元で行う
		for(int i = n - 1; i > -1; i--) {
			data[i] = operation(data[i << 1], data[i << 1 | 1]);
		}
	}
	ST(int _n, function<T(T, T)> _operation, T _unit, vector<T> raw_data) : n(_n), operation(_operation), unit(_unit) {
		data.assign(n * 2, unit);
		for(int i = 0; i < n; i++) {
			data[i + n] = raw_data[i];
		}
		for(int i = n - 1; i > -1; i--) {
			data[i] = operation(data[i << 1], data[i << 1 | 1]);
		}
	}
	ST(int _n, function<T(T, T)> _operation, T _unit, T _init) : n(_n), operation(_operation), unit(_unit) {
		data.assign(n * 2, _init);
		for(int i = n - 1; i > -1; i--) {
			data[i] = operation(data[i << 1], data[i << 1 | 1]);
		}
	}

	void update(int idx, T x) {
		idx += n;
		data[idx] = x;
		idx >>= 1;
		while(idx > 0) {
			data[idx] = operation(data[(idx << 1)], data[(idx << 1) | 1]);
			idx >>= 1;
		}
	}

	//お好きな二項演算をどうぞ 抽象化するのはちょっとやりすぎ感
	void add(int idx, T x) { update(idx, data[idx + n] + x); }

	T get(int lef, int rig) {
		T a = unit, b = unit;
		lef += n;
		rig += n;
		while(lef < rig) {
			if(lef & 1) a = operation(a, data[lef]);
			if(rig & 1) b = operation(data[rig - 1], b);
			(lef += 1) >>= 1;
			rig >>= 1;
		}
		return operation(a, b);
	}
};

int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cout << fixed << setprecision(15);
	srand((unsigned)time(NULL));

	INT(n);
	VEC(ll, x, n);

	pqup<pair<ll, int>> que;
	rep(i, n) que.emplace(x[i], i);

	V<tuple<ll, int, int, int>> query;
	INT(q);
	rep(i, q) {
		INT(l, r);
		LL(y);
		l--;
		query.emplace_back(y, l, r, i);
	}

	vll ans(q);

	ST<ll> stmax(
		n, [](ll a, ll b) { return max(a, b); }, -dekai);

	ST<ll> stmin(
		n, [](ll a, ll b) { return min(a, b); }, dekai, x);

	sort(all(query));

	foa(tmp, query) {
		ll y;
		int idx, lef, rig;
		tie(y, lef, rig, idx) = tmp;

		ll res = dekai;

		while(!que.empty()) {
			if(que.top().first > y) break;
			int id = que.top().second;
			que.pop();
			stmin.update(id, dekai);
			stmax.update(id, x[id]);
		}

		chmin(res, y - stmax.get(lef, rig));
		chmin(res, -y + stmin.get(lef, rig));
		ans[idx] = res;
	}
	vout(ans, 1);
	return 0;
}