124 lines
2.4 KiB
C++
124 lines
2.4 KiB
C++
#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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[[nodiscard]] static T MIN() {
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return std::numeric_limits<T>::min();
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}
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template <typename T>
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[[nodiscard]] static T MAX() {
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return std::numeric_limits<T>::max();
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}
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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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inline static void NO() {
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prln("NO");
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}
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inline static void YES() {
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prln("YES");
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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 ve = std::vector<T>;
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template <typename T, size_t N>
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using ar = std::array<T, N>;
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template <typename T1, typename T2>
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using pa = std::pair<T1, T2>;
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template <typename... Ts>
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using tu = std::tuple<Ts...>;
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template <typename... Ts>
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using dq = std::deque<Ts...>;
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template <typename... Ts>
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using qu = std::queue<Ts...>;
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template <typename... Ts>
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using pq = std::priority_queue<Ts...>;
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template <typename... Ts>
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using st = std::stack<Ts...>;
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auto lb = [](auto... args) {
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return std::lower_bound(args...);
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};
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auto ub = [](auto... args) {
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return std::upper_bound(args...);
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};
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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 n;
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cin >> n;
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ll l = 1, r = 1e6;
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while (l <= r) {
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ll m = l + (r - l) / 2;
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if (m * (m + 1) / 2 >= n) {
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r = m - 1;
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} else {
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l = m + 1;
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}
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}
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auto sumsq = [](ll x) {
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return x * (x + 1) * (2 * x + 1) / 6;
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};
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ll level = l;
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ll ans = 0;
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l = r = level - (level * (level + 1) / 2 - n) - 1;
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while (level > 0) {
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l = max(0LL, l);
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r = min(r, level - 1);
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auto left = level * (level + 1) / 2 - level + 1;
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ans -= sumsq(left + l - 1);
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ans += sumsq(left + r);
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--l;
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--level;
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}
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prln("{}", ans);
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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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cin.exceptions(cin.failbit);
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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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