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cses/introductory-problems/digit-queries.cc
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85
cses/introductory-problems/digit-queries.cc
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#include <bits/stdc++.h> // {{{
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// https://codeforces.com/blog/entry/96344
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#pragma GCC optimize("O2,unroll-loops")
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#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
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using namespace std;
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template <typename T>
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constexpr T MIN = std::numeric_limits<T>::min();
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template <typename T>
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constexpr T MAX = std::numeric_limits<T>::max();
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template <typename T>
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[[nodiscard]] static T sc(auto&& x) {
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return static_cast<T>(x);
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}
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template <typename T>
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[[nodiscard]] static T sz(auto&& x) {
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return static_cast<T>(x.size());
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}
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using ll = long long;
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using ld = long double;
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template <typename T>
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using vec = std::vector<T>;
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template <typename T, size_t N>
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using arr = std::array<T, N>;
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#define ff first
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#define ss second
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#define eb emplace_back
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#define pb push_back
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#define all(x) (x).begin(), (x).end()
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#define rall(x) (x).rbegin(), (x).rend()
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// }}}
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void solve() {
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int q;
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cin >> q;
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while (q--) {
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ll k;
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cin >> k;
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if (k <= 9) {
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cout << k << endl;
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continue;
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}
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ll exp = 1;
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while (true) {
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ll numbers_in_band = 9 * powl(10, exp - 1);
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ll per = numbers_in_band * exp;
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if (k <= per)
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break;
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k -= per;
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exp++;
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}
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ll i = (k - 1) / exp;
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ll index = k % exp;
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if (index == 0)
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index = exp;
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ll ans = powl(10, exp - 1) + i;
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ll offset = exp - index;
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while (offset--) {
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ans /= 10;
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}
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cout << ans % 10 << endl;
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}
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}
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int main() { // {{{
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cin.tie(nullptr)->sync_with_stdio(false);
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solve();
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return 0;
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}
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// }}}
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