#pragma GCC target("avx2")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
const int B = 550;
const int INF = 1000000000;
int main(){
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int N;
  cin >> N;
  vector<int> X(N);
  for (int i = 0; i < N; i++){
    cin >> X[i];
  }
  int Q;
  cin >> Q;
  vector<int> l(Q), r(Q), x(Q);
  for (int i = 0; i < Q; i++){
    cin >> l[i] >> r[i] >> x[i];
    l[i]--;
  }
  vector<tuple<int, int, int, int>> query(Q);
  for (int i = 0; i < Q; i++){
    if (l[i] / B % 2 == 0){
      query[i] = make_tuple(l[i] / B, r[i], l[i], i);
    } else {
      query[i] = make_tuple(l[i] / B, -r[i], l[i], i);
    }
  }
  sort(query.begin(), query.end());
  vector<int> ans(Q, INF);
  set<int> st;
  int L = 0, R = 0;
  for (int i = 0; i < Q; i++){
    int l2 = get<2>(query[i]);
    int r2 = abs(get<1>(query[i]));
    int id = get<3>(query[i]);
    while (l2 < L){
      L--;
      st.insert(X[L]);
    }
    while (R < r2){
      st.insert(X[R]);
      R++;
    }
    while (L < l2){
      st.erase(X[L]);
      L++;
    }
    while (r2 < R){
      R--;
      st.erase(X[R]);
    }
    auto itr = st.lower_bound(x[id]);
    if (itr != st.end()){
      ans[id] = min(ans[id], *itr - x[id]);
    }
    if (itr != st.begin()){
      ans[id] = min(ans[id], x[id] - *prev(itr));
    }
  }
  for (int i = 0; i < Q; i++){
    cout << ans[i] << "\n";
  }
}