#include <stdio.h>
#include <bits/stdc++.h>

#include <algorithm>

#ifdef _MSC_VER
#include <intrin.h>
#endif

namespace atcoder {

namespace internal {

// @param n `0 <= n`
// @return minimum non-negative `x` s.t. `n <= 2**x`
int ceil_pow2(int n) {
    int x = 0;
    while ((1U << x) < (unsigned int)(n)) x++;
    return x;
}

// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsf(unsigned int n) {
#ifdef _MSC_VER
    unsigned long index;
    _BitScanForward(&index, n);
    return index;
#else
    return __builtin_ctz(n);
#endif
}

}  // namespace internal

}  // namespace atcoder

#include <cassert>
#include <vector>

namespace atcoder {

template <class S, S (*op)(S, S), S (*e)()> struct segtree {
  public:
    segtree() : segtree(0) {}
    segtree(int n) : segtree(std::vector<S>(n, e())) {}
    segtree(const std::vector<S>& v) : _n(int(v.size())) {
        log = internal::ceil_pow2(_n);
        size = 1 << log;
        d = std::vector<S>(2 * size, e());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) {
            update(i);
        }
    }

    void set(int p, S x) {
        assert(0 <= p && p < _n);
        p += size;
        d[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    S get(int p) {
        assert(0 <= p && p < _n);
        return d[p + size];
    }

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        S sml = e(), smr = e();
        l += size;
        r += size;

        while (l < r) {
            if (l & 1) sml = op(sml, d[l++]);
            if (r & 1) smr = op(d[--r], smr);
            l >>= 1;
            r >>= 1;
        }
        return op(sml, smr);
    }

    S all_prod() { return d[1]; }

    template <bool (*f)(S)> int max_right(int l) {
        return max_right(l, [](S x) { return f(x); });
    }
    template <class F> int max_right(int l, F f) {
        assert(0 <= l && l <= _n);
        assert(f(e()));
        if (l == _n) return _n;
        l += size;
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!f(op(sm, d[l]))) {
                while (l < size) {
                    l = (2 * l);
                    if (f(op(sm, d[l]))) {
                        sm = op(sm, d[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, d[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template <bool (*f)(S)> int min_left(int r) {
        return min_left(r, [](S x) { return f(x); });
    }
    template <class F> int min_left(int r, F f) {
        assert(0 <= r && r <= _n);
        assert(f(e()));
        if (r == 0) return 0;
        r += size;
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!f(op(d[r], sm))) {
                while (r < size) {
                    r = (2 * r + 1);
                    if (f(op(d[r], sm))) {
                        sm = op(d[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(d[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

  private:
    int _n, size, log;
    std::vector<S> d;

    void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};

}  // namespace atcoder

using namespace atcoder;
using namespace std;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000000000000000

long long opm(long long a,long long b){
	return min(a,b);
}

long long em(){
	return Inf;
}

long long opM(long long a,long long b){
	return max(a,b);
}

long long eM(){
	return -Inf;
}

int main(){

	int N;
	scanf("%d",&N);
	
	vector<long long> X(N);
	vector<pair<int,int>> P;
	rep(i,N){
		scanf("%lld",&X[i]);
		P.emplace_back(X[i],i);
	}
	
	
	
	int Q;
	scanf("%d",&Q);
	
	vector<int> l(Q),r(Q);
	vector<long long> x(Q);
	
	
	rep(i,Q){
		scanf("%d %d %lld",&l[i],&r[i],&x[i]);
		l[i]--;
		r[i]--;
		
		P.emplace_back(x[i],-(i+1));
	}
	
	sort(P.begin(),P.end());
	
	vector<long long> ans(Q,1000000005);
	
	{
		segtree<long long,opM,eM> seg(N);
		rep(i,P.size()){
			int ind = P[i].second;
			if(ind>=0){
				seg.set(ind,X[ind]);
			}
			else{
				ind *= -1;
				ind --;
				ans[ind] = min(ans[ind],abs(seg.prod(l[ind],r[ind]+1) - x[ind]));
			}
		}
	}
	reverse(P.begin(),P.end());
	{
		segtree<long long,opm,em> seg(N);
		rep(i,P.size()){
			int ind = P[i].second;
			if(ind>=0){
				seg.set(ind,X[ind]);
			}
			else{
				ind *= -1;
				ind --;
				ans[ind] = min(ans[ind],abs(seg.prod(l[ind],r[ind]+1) - x[ind]));
			}
		}
	}
	
	rep(i,Q){
		printf("%d\n",ans[i]);
	}
	
    return 0;
}