#include <iostream>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <cassert>
#include <cmath>

#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;
#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

using namespace std;
typedef long long ll;

int n;
ll X[300000];
int q;
ll ans[100000];
vector<vector<int>> query[400]; // {r, l, x, idx}

void input(){
    cin >> n;
    for(int i = 0; i < n; i++) cin >> X[i];
    int sq = sqrt(n)+10;
    cin >> q;
    for(int i = 0; i < q; i++){
        int l, r, x; cin >> l >> r >> x;
        l--; r--;
        query[l/sq].push_back({r, l, x, i});
    }
    for(int i = 0; i <= sq; i++){
        sort(query[i].begin(), query[i].end());
    }
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(10) << fixed;
    input();
    multiset<ll> st;
    int cur_l = 0, cur_r = 0;
    st.insert(X[0]);
    for(int s = 0; s*s <= n; s++){
        for(auto v : query[s]){
            int r = v[0], l = v[1], idx = v[3];
            ll x = v[2];
            while(cur_r < r){
                cur_r++;
                st.insert(X[cur_r]);
            }
            while(cur_r > r){
                st.erase(st.find(X[cur_r]));
                cur_r--;
            }
            while(cur_l < l){
                st.erase(st.find(X[cur_l]));
                cur_l++;
            }
            while(cur_l > l){
                cur_l--;
                st.insert(X[cur_l]);
            }
            auto p = st.lower_bound(x);
            ll a = 1e15;
            if(p != st.end()) chmin(a, abs(*p-(x)));
            if(p != st.begin()){
                p--;
                chmin(a, abs(*p-(x)));
            }
            ans[idx] = a;
            // cout << l << ' ' << r << ' ' << st.size() << endl;
        }
    }
    for(int i = 0; i < q; i++) cout << ans[i] << endl;
}