feat(cses): range queries
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39 changed files with 2044 additions and 19 deletions
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cses/range-queries/static-range-minimum-queries.cc
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111
cses/range-queries/static-range-minimum-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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#define prln(...) std::println(__VA_ARGS__)
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#define pr(...) std::print(__VA_ARGS__)
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#ifdef LOCAL
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#define dbgln(...) std::println(__VA_ARGS__)
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#define dbg(...) std::print(__VA_ARGS__)
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#endif
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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 v = std::vector<T>;
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template <typename T, size_t N>
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using r = std::array<T, N>;
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template <typename T1, typename T2>
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using p = std::pair<T1, T2>;
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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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template <typename T>
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struct sparse_table {
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sparse_table(std::vector<T> const& ts)
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: table(floor(__lg(max(1, static_cast<int>(ts.size())))) + 1,
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std::vector<T>(ts.size())) {
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for (size_t i = 0; i < ts.size(); ++i) {
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table[0][i] = ts[i];
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}
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for (size_t j = 1; j < table.size(); ++j) {
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for (size_t i = 0; i + (1 << (j - 1)) < ts.size(); ++i) {
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table[j][i] = merge(table[j - 1][i], table[j - 1][i + (1 << (j - 1))]);
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}
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}
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}
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[[nodiscard]] T query(size_t const l, size_t const r) const {
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if (!(0 <= l && r < table[0].size())) {
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return 0;
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}
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int k = floor(__lg(r - l + 1));
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return merge(table[k][l], table[k][r - (1 << k) + 1]);
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}
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private:
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[[nodiscard]] inline T merge(T const& x, T const& y) const noexcept {
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return min(x, y);
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}
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std::vector<std::vector<T>> table;
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};
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void solve() {
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int n, q;
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cin >> n >> q;
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v<ll> a(n);
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for (auto& e : a)
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cin >> e;
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sparse_table<ll> st(a);
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while (q--) {
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int l, r;
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cin >> l >> r;
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--l;
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--r;
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cout << st.query(l, r) << 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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int t = 1;
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// cin >> t;
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while (t--) {
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solve();
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}
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return 0;
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}
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// }}}
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