/*
* @uni_kakurenbo
* https://github.com/uni-kakurenbo/competitive-programming-workspace
*
* CC0 1.0 http://creativecommons.org/publicdomain/zero/1.0/deed.ja
*/
/* #language C++ 20 GCC */
#define PROBLEM "https://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=1549"
#include <bits/stdc++.h><--- Include file: not found. Please note: Cppcheck does not need standard library headers to get proper results.
#include "snippet/aliases.hpp"
#include "snippet/fast_io.hpp"
#include "snippet/iterations.hpp"
#include "adaptor/io.hpp"
#include "adaptor/valarray.hpp"
#include "data_structure/wavelet_matrix.hpp"
signed main() {
uni::i32 n; input >> n;
std::vector<uni::i32> a(n); ITRR(v, a) input >> v;
uni::wavelet_matrix<uni::ll>::compressed data(a);
// debug(data);
uni::i32 q; input >> q;
REP(q) {
uni::i32 l, r, x; input >> l >> r >> x; ++r;
print(
std::min(
std::abs(data(l, r).prev(x).value_or(INT64_MAX) - x),
std::abs(data(l, r).next(x).value_or(INT64_MAX) - x)
)
);
}
}