結果
問題 | No.1036 Make One With GCD 2 |
ユーザー | 👑 hitonanode |
提出日時 | 2020-04-24 21:42:58 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 517 ms / 2,000 ms |
コード長 | 7,637 bytes |
コンパイル時間 | 2,471 ms |
コンパイル使用メモリ | 207,860 KB |
実行使用メモリ | 18,832 KB |
最終ジャッジ日時 | 2024-04-24 17:25:25 |
合計ジャッジ時間 | 13,825 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 517 ms
18,688 KB |
testcase_01 | AC | 149 ms
18,816 KB |
testcase_02 | AC | 208 ms
18,688 KB |
testcase_03 | AC | 25 ms
8,960 KB |
testcase_04 | AC | 45 ms
13,248 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 2 ms
5,376 KB |
testcase_07 | AC | 52 ms
9,824 KB |
testcase_08 | AC | 43 ms
8,704 KB |
testcase_09 | AC | 182 ms
18,516 KB |
testcase_10 | AC | 171 ms
17,280 KB |
testcase_11 | AC | 185 ms
18,628 KB |
testcase_12 | AC | 172 ms
17,492 KB |
testcase_13 | AC | 286 ms
17,952 KB |
testcase_14 | AC | 286 ms
18,304 KB |
testcase_15 | AC | 266 ms
17,224 KB |
testcase_16 | AC | 267 ms
17,408 KB |
testcase_17 | AC | 273 ms
17,920 KB |
testcase_18 | AC | 2 ms
5,376 KB |
testcase_19 | AC | 2 ms
5,376 KB |
testcase_20 | AC | 2 ms
5,376 KB |
testcase_21 | AC | 3 ms
5,376 KB |
testcase_22 | AC | 260 ms
17,152 KB |
testcase_23 | AC | 191 ms
13,440 KB |
testcase_24 | AC | 269 ms
17,792 KB |
testcase_25 | AC | 246 ms
16,256 KB |
testcase_26 | AC | 249 ms
16,896 KB |
testcase_27 | AC | 2 ms
5,376 KB |
testcase_28 | AC | 2 ms
5,376 KB |
testcase_29 | AC | 2 ms
5,376 KB |
testcase_30 | AC | 1 ms
5,376 KB |
testcase_31 | AC | 1 ms
5,376 KB |
testcase_32 | AC | 2 ms
5,376 KB |
testcase_33 | AC | 2 ms
5,376 KB |
testcase_34 | AC | 1 ms
5,376 KB |
testcase_35 | AC | 2 ms
5,376 KB |
testcase_36 | AC | 1 ms
5,376 KB |
testcase_37 | AC | 2 ms
5,376 KB |
testcase_38 | AC | 200 ms
18,832 KB |
testcase_39 | AC | 456 ms
18,708 KB |
testcase_40 | AC | 201 ms
13,440 KB |
testcase_41 | AC | 435 ms
18,688 KB |
testcase_42 | AC | 416 ms
18,688 KB |
testcase_43 | AC | 450 ms
18,828 KB |
testcase_44 | AC | 487 ms
18,688 KB |
ソースコード
#include <bits/stdc++.h> using namespace std; using lint = long long int; using pint = pair<int, int>; using plint = pair<lint, lint>; struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++) #define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template<typename T> void ndarray(vector<T> &vec, int len) { vec.resize(len); } template<typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); } template<typename T> bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; } template<typename T> bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; } template<typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); } template<typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); } template<typename T> istream &operator>>(istream &is, vector<T> &vec){ for (auto &v : vec) is >> v; return is; } template<typename T> ostream &operator<<(ostream &os, const vector<T> &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; } template<typename T> ostream &operator<<(ostream &os, const deque<T> &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; } template<typename T> ostream &operator<<(ostream &os, const set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template<typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template<typename T> ostream &operator<<(ostream &os, const multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template<typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; } template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; } template<typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } template<typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; } #define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl; /* #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #include <ext/pb_ds/tag_and_trait.hpp> using namespace __gnu_pbds; // find_by_order(), order_of_key() template<typename TK> using pbds_set = tree<TK, null_type, less<TK>, rb_tree_tag, tree_order_statistics_node_update>; template<typename TK, typename TV> using pbds_map = tree<TK, TV, less<TK>, rb_tree_tag, tree_order_statistics_node_update>; */ // Nonrecursive Segment Tree (point-update, range-get) // - Conditions for operations: // - datamerge: [TDATA, TDATA] -> TDATA, e(x, y) == e(y, x) // - data2ret: [TDATA, TQUERY] -> TRET // - retmerge: [TRET, TRET] -> TRET, g(defaultRET, x) == x, g(x, y) = g(y, x) // - commutability f(e(x, y), q) == g(f(x, q), f(y, q)) template <typename TDATA, typename TRET, typename TQUERY> struct NonrecursiveSegmentTree { int N; TRET defaultRET; virtual TDATA datamerge(const TDATA &, const TDATA &) = 0; virtual TRET data2ret(const TDATA &, const TQUERY &) = 0; virtual TRET retmerge(const TRET &, const TRET &) = 0; std::vector<TDATA> data; inline TDATA& at(int i) { return data[i]; } inline void _merge(int i) { at(i) = datamerge(at(i << 1), at((i << 1) + 1)); } void initialize(const std::vector<TDATA> &seq, TRET RET_ZERO) { N = seq.size(); defaultRET = RET_ZERO; data = seq; data.insert(data.end(), seq.begin(), seq.end()); for (int i = N - 1; i; i--) _merge(i); } NonrecursiveSegmentTree() = default; void update(int pos, const TDATA &x) { assert(pos >= 0 and pos < N); at(pos + N) = x; for (int i = pos + N; i > 1;) i >>= 1, _merge(i); } // [l, r), 0-indexed TRET get(int l, int r, TQUERY query = NULL) { assert(l >= 0 and r <= N); TRET retl = defaultRET, retr = defaultRET; l += N, r += N; while (l < r) { if (l & 1) retl = retmerge(retl, data2ret(data[l++], query)); if (r & 1) retr = retmerge(data2ret(data[--r], query), retr); l >>= 1, r >>= 1; } return retmerge(retl, retr); } // Calculate smallest r that satisfies g(f(x_l, q), ..., f(x_{r - 1}, q)) <= threshold // Assumption: Monotonicity of g(x_l, ..., x_r) about r (l: fixed) // Complexity: O(log N) int binary_search(int l, const TRET &threshold, TQUERY query = NULL) { std::stack<int> rs; l += N; int r = N * 2; TRET retl = defaultRET; while (l < r) { if (l & 1) { TRET ret_tmp = retmerge(retl, data2ret(data[l], query)); if (threshold > ret_tmp) { while (l * 2 < N * 2) { ret_tmp = retmerge(retl, data2ret(data[l * 2], query)); if (threshold > ret_tmp) l *= 2; else retl = ret_tmp, l = l * 2 + 1; } return l - N; } l++; retl = ret_tmp; } if (r & 1) rs.push(--r); l >>= 1, r >>= 1; } while (!rs.empty()) { l = rs.top(); rs.pop(); TRET ret_tmp = retmerge(retl, data2ret(data[l], query)); if (threshold > ret_tmp) { while (l * 2 < N * 2) { ret_tmp = retmerge(retl, data2ret(data[l * 2], query)); if (threshold > ret_tmp) l *= 2; else retl = ret_tmp, l = l * 2 + 1; } return l - N; } retl = ret_tmp; } return N; } template<typename T1, typename T2, typename T3> friend std::ostream &operator<<(std::ostream &os, NonrecursiveSegmentTree<T1, T2, T3> s) { os << "[SegmentTree (len: " << s.N << ')'; for (int i = 0; i < s.N; i++) os << s.at(i + s.N) << ','; os << "]"; return os; } }; template <typename T> struct RangeGCDQuery : public NonrecursiveSegmentTree<T, T, bool> { using SegTree = NonrecursiveSegmentTree<T, T, bool>; T datamerge(const T &vl, const T &vr) override { return std::gcd(vl, vr); }; T data2ret(const T &v, const bool &q) override { return v; } T retmerge(const T &vl, const T &vr) override { return std::gcd(vl, vr); }; RangeGCDQuery(const std::vector<T> &seq, T defaultmin) : SegTree::NonrecursiveSegmentTree() { SegTree::initialize(seq, defaultmin); }; }; int main() { int N; cin >> N; vector<lint> A(N); cin >> A; RangeGCDQuery<lint> st(A, 0); lint ret = 0; REP(i, N) ret += N - st.binary_search(i, 2); cout << ret << '\n'; }