結果
問題 |
No.3101 Range Eratosthenes Query
|
ユーザー |
|
提出日時 | 2025-04-12 08:48:29 |
言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 10,132 bytes |
コンパイル時間 | 4,205 ms |
コンパイル使用メモリ | 297,168 KB |
実行使用メモリ | 27,056 KB |
最終ジャッジ日時 | 2025-04-12 08:48:43 |
合計ジャッジ時間 | 13,390 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | TLE * 1 -- * 1 |
other | -- * 24 |
ソースコード
#include <bits/stdc++.h> using namespace std; #define all(...) std::begin(__VA_ARGS__), std::end(__VA_ARGS__) #define rall(...) std::rbegin(__VA_ARGS__), std::rend(__VA_ARGS__) #define OVERLOAD_REP(_1, _2, _3, _4, name, ...) name #define REP1(n) for(ll i=0;i<n;i++) #define REP2(i, n) for (ll i=0;i<n;i++) #define REP3(i, a, n) for (ll i=a;i<n;i++) #define REP4(i, a, b, n) for(ll i=a;i<n;i+=b) #define rep(...) OVERLOAD_REP(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__) #define OVERLOAD_RREP(_1, _2, _3, _4, name, ...) name #define RREP1(n) for(ll i=n-1;i>=0;i--) #define RREP2(i, n) for(ll i=n-1;i>=0;i--) #define RREP3(i, a, n) for(ll i=n-1;i>=a;i--) #define RREP4(i, a, b, n) for(ll i=n-1;i>=a;i-=b) #define rrep(...) OVERLOAD_RREP(__VA_ARGS__, RREP4, RREP3, RREP2, RREP1)(__VA_ARGS__) #define foa(a,v) (auto& a : (v)) #define uniq(a) sort(all(a));a.erase(unique(all(a)),end(a)) #define len(n) (long long)(n).size() #define pb push_back using ll = long long; using ld = long double; using ull = unsigned long long; using vi = vector<int>; using vvi = vector<vi>; using vvvi = vector<vvi>; using vll = vector<ll>; using vvll = vector<vll>; using vvvll = vector<vvll>; using vs = vector<string>; using vvs = vector<vs>; using vvvs = vector<vvs>; using vld = vector<ld>; using vvld = vector<vld>; using vvvld = vector<vvld>; using vc = vector<char>; using vvc = vector<vc>; using vvvc = vector<vvc>; using pll = pair<ll,ll>; using vpll = vector<pll>; template<class... T> constexpr auto min(T... a){ return min(initializer_list<common_type_t<T...>>{a...}); } template<class... T> void input(T&... a){ (cin >> ... >> a); } ll POW(ll a,ll b){ ll ans = 1; while (b){ if (b & 1){ ans *= a; } a *= a; b /= 2; } return ans; } ll MODPOW(ll a,ll b,ll c){ ll ans = 1; while (b){ if (b & 1){ ans *= a; ans %= c; } a *= a; a %= c; b /= 2; } return ans; } #define INT(...) int __VA_ARGS__; input(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; input(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__; input(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; input(__VA_ARGS__) #define STR(...) string __VA_ARGS__; input(__VA_ARGS__) #define CHA(...) char __VA_ARGS__; input(__VA_ARGS__) #define VLL(name,length) vll name(length);rep(i,length){cin >> name[i];} #define VVLL(name,h,w) vvll name(h,vll(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVLL(name,a,b,c) vvvll name(a,vvll(b,vll(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VI(name,length) vi name(length);rep(i,length){cin >> name[i];} #define VVI(name,h,w) vvi name(h,vi(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVI(name,a,b,c) vvvi name(a,vvll(b,vi(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VLD(name,length) vld name(length);rep(i,length){cin >> name[i];} #define VVLD(name,h,w) vvld name(h,vld(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVLD(name,a,b,c) vvvld name(a,vvld(b,vld(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VC(name,length) vc name(length);rep(i,length){cin >> name[i];} #define VVC(name,h,w) vvc name(h,vc(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVC(name,a,b,c) vvvc name(a,vvc(b,vc(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VS(name,length) vs name(length);rep(i,length){cin >> name[i];} #define VVS(name,h,w) vvs name(h,vs(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVS(name,a,b,c) vvvs name(a,vvs(b,vs(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define PLL(name) pll name;cin>>name.first>>name.second; #define VPLL(name,length) vpll name(length);rep(i,length){cin>>name[i].first>>name[i].second;} void print(){cout << "\n";} template<class T, class... Ts> void print(const T& a, const Ts&... b){cout << a;(cout << ... << (cout << ' ', b));cout << '\n';} void print(vll x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvll x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vi x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvi x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vvvi x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void print(vld x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvld x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vvvld x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void print(vc x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvc x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vvvc x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void print(vs x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void print(vvs x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void print(vvvs x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void print(pll x){cout << x.first << x.second << '\n';} void print(vpll x){rep(i,len(x)){cout << x[i].first << x[i].second << '\n';}} #line 2 "misc/mo.hpp" struct Mo { int width; vector<int> left, right, order; Mo(int N, int Q) : order(Q) { width = max<int>(1, 1.0 * N / max<double>(1.0, sqrt(Q * 2.0 / 3.0))); iota(begin(order), end(order), 0); } void insert(int l, int r) { /* [l, r) */ left.emplace_back(l); right.emplace_back(r); } template <typename AL, typename AR, typename DL, typename DR, typename REM> void run(const AL &add_left, const AR &add_right, const DL &delete_left, const DR &delete_right, const REM &rem) { assert(left.size() == order.size()); sort(begin(order), end(order), [&](int a, int b) { int ablock = left[a] / width, bblock = left[b] / width; if (ablock != bblock) return ablock < bblock; if (ablock & 1) return right[a] < right[b]; return right[a] > right[b]; }); int nl = 0, nr = 0; for (auto idx : order) { while (nl > left[idx]) add_left(--nl); while (nr < right[idx]) add_right(nr++); while (nl < left[idx]) delete_left(nl++); while (nr > right[idx]) delete_right(--nr); rem(idx); } } }; /** * @brief Mo's algorithm * @docs docs/misc/mo.md */ // CUT begin // Count elements in $[A_\mathrm{begin}, ..., A_{\mathrm{end}-1}]$ which satisfy $A_i < \mathrm{query}$ // Complexity: $O(N \log N)$ for initialization, $O(\log^2 N)$ for each query // Verified: https://codeforces.com/contest/1288/submission/68865506 template <typename T> struct merge_sort_tree { int N; std::vector<std::vector<T>> x; merge_sort_tree() = default; merge_sort_tree(const std::vector<T> &vec) : N(vec.size()) { x.resize(N * 2); for (int i = 0; i < N; i++) x[N + i] = {vec[i]}; for (int i = N - 1; i; i--) { std::merge(x[i * 2].begin(), x[i * 2].end(), x[i * 2 + 1].begin(), x[i * 2 + 1].end(), std::back_inserter(x[i])); } } int cntLess(int l, int r, T query) const { l += N, r += N; int ret = 0; while (l < r) { if (l & 1) ret += std::lower_bound(x[l].begin(), x[l].end(), query) - x[l].begin(), l++; if (r & 1) r--, ret += std::lower_bound(x[r].begin(), x[r].end(), query) - x[r].begin(); l >>= 1, r >>= 1; } return ret; } int cntLesseq(int l, int r, T query) const { l += N, r += N; int ret = 0; while (l < r) { if (l & 1) ret += std::upper_bound(x[l].begin(), x[l].end(), query) - x[l].begin(), l++; if (r & 1) r--, ret += std::upper_bound(x[r].begin(), x[r].end(), query) - x[r].begin(); l >>= 1, r >>= 1; } return ret; } int cntMore(int begin, int end, T query) const { int tot = std::max(0, std::min(end, N) - std::max(begin, 0)); return tot - cntLesseq(begin, end, query); } int cntMoreeq(int begin, int end, T query) const { int tot = std::max(0, std::min(end, N) - std::max(begin, 0)); return tot - cntLess(begin, end, query); } template <class OStream> friend OStream &operator<<(OStream &os, const merge_sort_tree &clt) { os << '['; for (int i = 0; i < clt.N; i++) os << clt.x[clt.N + i][0] << ','; return os << ']'; } }; // N の約数をすべて求める関数 vector<long long> calc_divisors(long long N) { // 答えを表す集合 vector<long long> res; // 各整数 i が N の約数かどうかを調べる for (long long i = 1; i * i <= N; ++i) { // i が N の約数でない場合はスキップ if (N % i != 0) continue; // i は約数である res.push_back(i); // N ÷ i も約数である (重複に注意) if (N / i != i) res.push_back(N / i); } // 約数を小さい順に並び替えて出力 sort(res.begin(), res.end()); return res; } int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); LL(q); ll m = 1000000+10; vll a(m,0); a[1] = 0; rep(i,2,m){ auto x = calc_divisors(i); a[i] = x[len(x)-2]; } merge_sort_tree<ll> st(a); rep(i,q){ LL(l,r); ll x = st.cntMoreeq(l,r+1,l); print(r-l+1-x); } }