結果
問題 | No.1747 Many Formulae 2 |
ユーザー | 094 |
提出日時 | 2022-01-03 20:30:44 |
言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 2 ms / 2,000 ms |
コード長 | 34,008 bytes |
コンパイル時間 | 2,553 ms |
コンパイル使用メモリ | 202,572 KB |
実行使用メモリ | 5,248 KB |
最終ジャッジ日時 | 2024-10-13 08:28:57 |
合計ジャッジ時間 | 3,488 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
(要ログイン)
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 | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,248 KB |
testcase_02 | AC | 2 ms
5,248 KB |
testcase_03 | AC | 2 ms
5,248 KB |
testcase_04 | AC | 2 ms
5,248 KB |
testcase_05 | AC | 2 ms
5,248 KB |
testcase_06 | AC | 2 ms
5,248 KB |
testcase_07 | AC | 2 ms
5,248 KB |
testcase_08 | AC | 2 ms
5,248 KB |
testcase_09 | AC | 2 ms
5,248 KB |
testcase_10 | AC | 2 ms
5,248 KB |
testcase_11 | AC | 2 ms
5,248 KB |
testcase_12 | AC | 2 ms
5,248 KB |
testcase_13 | AC | 2 ms
5,248 KB |
testcase_14 | AC | 2 ms
5,248 KB |
testcase_15 | AC | 2 ms
5,248 KB |
testcase_16 | AC | 2 ms
5,248 KB |
testcase_17 | AC | 2 ms
5,248 KB |
testcase_18 | AC | 2 ms
5,248 KB |
ソースコード
// made by https://github.com/094-gengar/add_lib_to_templ #line 2 "cpplib/_other/bit.cpp" #define LL long long #define bitfor(bit, n) for (LL bit = 0; bit < (1 << n); bit++) #define bitif(bit, a) if (bit & (1 << a)) LL bitsum(LL bit) { LL r = 0; for(LL i = 1; i <= bit; i <<= 1) if(i & bit) r++; return r; } #line 2 "cpplib/_other/caesar.hpp" #include <iostream> struct caesar { char c = 'a'; int to_i() { return (caesar::c - 'a'); } int absolute(caesar& d) { return (d.c - caesar::c + 26) % 26; } friend std::istream& operator>>(std::istream& is, caesar& c) { is >> c.c; return is; } friend std::ostream& operator<<(std::ostream& os, caesar& c) { return os << c.c; } }; struct Caesar { char c = 'A'; int to_i() { return (Caesar::c - 'A'); } int absolute(Caesar& d) { return (d.c - Caesar::c + 26) % 26; } friend std::istream& operator>>(std::istream& is, Caesar& c) { is >> c.c; return is; } friend std::ostream& operator<<(std::ostream& os, Caesar& c) { return os << c.c; } }; #line 2 "cpplib/_other/template.hpp" #include <cstdlib> #include <cmath> #include <climits> #include <cfloat> #include <map> #include <utility> #include <set> #include <iostream> #include <memory> #include <string> #include <vector> #include <algorithm> #include <functional> #include <sstream> #include <deque> #include <complex> #include <stack> #include <queue> #include <cstdio> #include <cctype> #include <cstring> #include <ctime> #include <iterator> #include <bitset> #include <numeric> #include <list> #include <iomanip> #include <cassert> #include <array> #include <tuple> #include <initializer_list> #include <unordered_set> #include <unordered_map> #include <forward_list> #include <random> //#define INCLUDE_BOOST #ifdef INCLUDE_BOOST #if __has_include(<boost/range/irange.hpp>) #include <boost/range/irange.hpp> #include <boost/algorithm/string/split.hpp> #include <boost/algorithm/string/join.hpp> #include <boost/algorithm/string/replace.hpp> #include <boost/algorithm/string/classification.hpp> #endif #endif #pragma GCC target("avx512f") #pragma GCC optimize("O3") //#define int long long #define LL long long #define UL unsigned long long #define itn int #define INT(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define LLL(...) \ LL __VA_ARGS__; \ in(__VA_ARGS__) #define I32(...) \ i32 __VA_ARGS__; \ in(__VA_ARGS__) #define I64(...) \ i64 __VA_ARGS__; \ in(__VA_ARGS__) #define U32(...) \ u32 __VA_ARGS__; \ in(__VA_ARGS__) #define U64(...) \ u64 __VA_ARGS__; \ in(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define CHR(...) \ char __VA_ARGS__; \ in(__VA_ARGS__) #define DBL(...) \ double __VA_ARGS__; \ in(__VA_ARGS__) #define all(x) (x).begin(), (x).end() #define Sort(x) sort(all(x)) #define rSort(x) \ sort(all(x)); \ reverse(all(x)) #define UNIQUE(v) v.erase(unique(all(v)), v.end()) #define uniq(v) \ sort(all(v)); \ UNIQUE(v) #define l_b(c, x) distance(c.begin(), lower_bound(all(c), (x))) #define u_b(c, x) distance(c.begin(), upper_bound(all(c), (x))) #define fi first #define se second #define mkpr make_pair #define pb push_back #define eb emplace_back #define pass #define aauto auto && #define cauto const auto & #define _overload3(_1, _2, _3, name, ...) name #define _rep(i, n) repi(i, 0, n) #define repi(i, a, b) for (usize i = (a), __B_SIZE__ = (b); i < __B_SIZE__; i++) #define _per(i, n) peri(i, n, 0) #define peri(i, a, b) for (int i = (a), __B_SIZE__ = (b); i >= __B_SIZE__; i--) #define rep(...) _overload3(__VA_ARGS__, repi, _rep, )(__VA_ARGS__) #define per(...) _overload3(__VA_ARGS__, peri, _per, )(__VA_ARGS__) #define bitshift(n) (1LL << (n)) #define myceil(a, b) ((a) + ((b)-1)) / (b) using i32 = std::int32_t; using i64 = std::int64_t; using u32 = std::uint32_t; using u64 = std::uint64_t; using isize = std::ptrdiff_t; using usize = std::size_t; using vi = std::vector<int>; using vvi = std::vector<vi>; using vLL = std::vector<LL>; using vvLL = std::vector<vLL>; using vb = std::vector<bool>; using vvb = std::vector<vb>; using vd = std::vector<double>; using vvd = std::vector<vd>; using vc = std::vector<char>; using vvc = std::vector<vc>; using vs = std::vector<std::string>; using P = std::pair<int, int>; using vp = std::vector<P>; using pi32 = std::pair<i32, i32>; using pLL = std::pair<LL, LL>; using vpi32 = std::vector<pi32>; using vpLL = std::vector<pLL>; template <class T> inline bool chmin(T& a, const T& b) { if(b < a) { a = b; return true; } return false; } template <class T> inline bool chmax(T& a, const T& b) { if(a < b) { a = b; return true; } return false; } int Scan() { return getchar(); } void Scan(signed& a) { scanf("%d", &a); } void Scan(unsigned& a) { scanf("%u", &a); } void Scan(long& a) { scanf("%ld", &a); } void Scan(long long& a) { scanf("%lld", &a); } void Scan(unsigned long long& a) { scanf("%llu", &a); } void Scan(char& a) { do { a = getchar(); } while(a == ' ' || a == '\n'); } void Scan(float& a) { scanf("%f", &a); } void Scan(double& a) { scanf("%lf", &a); } void Scan(long double& a) { scanf("%Lf", &a); } void Scan(std::string& a) { std::cin >> a; } template <class T> void Scan(std::vector<T>&); template <class T, class U> void Scan(std::pair<T, U>&); template <class T> void Scan(std::vector<T>& a) { for(auto&& i : a) Scan(i); } template <class T, class U> void Scan(std::pair<T, U>& a) { Scan(a.first); Scan(a.second); } template <class T> void Scan(T& a) { std::cin >> a; } void in() {} template <class Car, class... Cdr> void in(Car&& car, Cdr &&...cdr) { Scan(car); in(std::forward<Cdr>(cdr)...); } void Print() { putchar(' '); } void Print(signed a) { printf("%d", a); } void Print(bool a) { printf("%d", a); } void Print(unsigned a) { printf("%u", a); } void Print(long a) { printf("%ld", a); } void Print(long long a) { printf("%lld", a); } void Print(unsigned long long a) { printf("%llu", a); } void Print(char a) { printf("%c", a); } void Print(float a) { printf("%f", a); } void Print(double a) { printf("%lf", a); } void Print(long double a) { printf("%Lf", a); } void Print(const std::string& a) { for(auto&& i : a) Print(i); } template <class T> void Print(const std::vector<T>&); template <class T, class U> void Print(const std::pair<T, U>&); template <class T> void Print(const std::vector<T>& a) { if(a.empty()) return; Print(a[0]); for(auto i = a.begin(); ++i != a.end();) { putchar(' '); Print(*i); } } template <class T, class U> void Print(const std::pair<T, U>& a) { Print(a.first); putchar(' '); Print(a.second); } template <class T> void Print(const T& a) { std::cout << a; } void out() { putchar('\n'); } template <class T> void out(const T& t) { Print(t); putchar('\n'); } template <class Car, class... Cdr> void out(Car& car, Cdr &...cdr) { Print(car); putchar(' '); out(std::forward<Cdr>(cdr)...); } void println() { printf("\n"); } void println(signed x) { printf("%d\n", x); } void println(bool x) { printf("%d\n", x); } void println(unsigned x) { printf("%u\n", x); } void println(long x) { printf("%ld\n", x); } void println(long long x) { printf("%lld\n", x); } void println(unsigned long long x) { printf("%llu\n", x); } void println(char x) { printf("%c\n", x); } void println(float x) { printf("%.15f\n", x); } void println(double x) { printf("%.15lf\n", x); } template <class T> void println(T x) { std::cout << x << '\n'; } #define writeln(x) println(x) void yn(bool fl = true) { out(fl ? "Yes" : "No"); } template <class T> void drop(T x) { std::cout << (x) << std::endl; exit(0); } void dYes() { std::flush(std::cout); puts("Yes"); fflush(stdout); exit(0); } void dNo() { std::flush(std::cout); puts("No"); fflush(stdout); exit(0); } LL gcd(LL a, LL b) { return b ? gcd(b, a % b) : a; } LL lcm(LL a, LL b) { return a / gcd(a, b) * b; } LL fact(LL n, LL m) { LL f = n; for(LL i = n - 1; i >= 1; i--) { f *= i; f %= m; } return f; } constexpr LL inf = 0x1fffffffffffffff; constexpr LL mod = 1000000007LL; constexpr LL mod2 = 998244353LL; constexpr double eps = 1e-8; constexpr double pi = 3.141592653589793238462643383279; #line 2 "cpplib/Graph/LCA.cpp" #include <vector> struct LCA { std::vector<std::vector<int>> par; std::vector<int> dis; LCA(const std::vector<std::vector<int>>& g, int root = 0) { init(g, root); } void init(const std::vector<std::vector<int>>& g, int root = 0) { int v = g.size(), k = 1; for(; 1 << k < v; k++) ; par.assign(k, std::vector<int>(v, -1)); dis.assign(v, -1); dfs(g, root, -1, 0); for(int i = 0; i < k - 1; i++) for(int j = 0; j < v; j++) { if(par[i][j] < 0) par[i + 1][j] = -1; else par[i + 1][j] = par[i][par[i][j]]; } } void dfs(const std::vector<std::vector<int>>& g, int v, int p, int d) { par[0][v] = p; dis[v] = d; for(int e : g[v]) if(e != p) dfs(g, e, v, d + 1); } int run(int u, int v) { if(dis[u] < dis[v]) std::swap(u, v); int k = par.size(); for(int i = 0; i < k; i++) if(dis[u] - dis[v] >> i & 1) u = par[i][u]; if(u == v) return u; for(int i = k - 1; i >= 0; i--) if(par[i][u] != par[i][v]) { u = par[i][u]; v = par[i][v]; } return par[0][u]; } int getdis(int u, int v) { return dis[u] + dis[v] - dis[run(u, v)] * 2; } bool isonpath(int u, int v, int a) { return getdis(u, a) + getdis(a, v) == getdis(u, v); } }; #line 2 "cpplib/Graph/oreore_graph.hpp" #include <iostream> #include <vector> #include <queue> #include <algorithm> /* template <class T> inline bool chmin(T& a, const T& b) { if(b < a) { a = b; return true; } return false; } */ template <class T> struct oreore_graph { int _n; bool _idx; bool _drc; std::vector<std::vector<T>> _g; oreore_graph(int n, bool drc = false, bool idx = 1) : _n(n), _drc(drc), _idx(idx), _g(n) { } void init(int m) { T a, b; for(int i = 0; i < m; i++) { scanf("%d %d", &a, &b); a -= _idx; b -= _idx; _g[a].emplace_back(b); if(!_drc) _g[b].emplace_back(a); } } std::vector<T> bfs(T s, T t = -1) { std::vector<T> dis(_n, 1ll << 29); std::vector<bool> vis(_n, false); dis[s] = 0; std::queue<T> q; q.emplace(s); while(q.size()) { T cur = q.front(); q.pop(); for(auto e : _g[cur]) if(chmin(dis[e], dis[cur] + 1)) q.emplace(e); } if(t == -1) return dis; else return std::vector<T>{dis[t]}; } }; template <class T> struct oreore_weighted_graph { using ptt = std::pair<T, T>; int _n; bool _idx; bool _drc; std::vector<std::vector<ptt>> _g; oreore_weighted_graph(int n, bool drc = false, bool idx = 1) : _n(n), _drc(drc), _idx(idx), _g(n) { } void init(int m, bool cst = true) { T a, b, c = 1; for(int i = 0; i < m; i++) { if(cst) scanf("%d %d %d", &a, &b, &c); else scanf("%d %d", &a, &b); a -= _idx; b -= _idx; _g[a].emplace_back(c, b); if(!_drc) _g[b].emplace_back(c, a); } } std::vector<T> bfs(T s, T t = -1) { std::vector<T> dis(_n, 1ll << 29); std::vector<bool> vis(_n, false); dis[s] = 0; std::queue<ptt> q; q.emplace(0, s); while(q.size()) { ptt cur = q.front(); q.pop(); if(cur.first > dis[cur.second]) continue; for(auto e : _g[cur.second]) if(chmin(dis[e.second], dis[cur.second] + e.first)) q.emplace(dis[e.second], e.second); } if(t == -1) return dis; else return std::vector<T>{dis[t]}; } std::vector<T> dijkstra(T s, T t = -1) { std::vector<T> dis(_n, 1ll << 29); std::vector<bool> vis(_n, false); dis[s] = 0; std::priority_queue<ptt, std::vector<ptt>, std::greater<>> pq; pq.emplace(0, s); while(pq.size()) { ptt cur = pq.top(); pq.pop(); if(cur.first > dis[cur.second]) continue; for(auto e : _g[cur.second]) if(chmin(dis[e.second], dis[cur.second] + e.first)) pq.emplace(dis[e.second], e.second); } if(t == -1) return dis; else return std::vector<T>{dis[t]}; } }; #line 2 "cpplib/math/argsort.hpp" #include <vector> #include <algorithm> struct Ray { long long x, y; bool operator<(const Ray& r) const { return x * r.y > y * r.x; } bool operator<=(const Ray& r) const { return x * r.y >= y * r.x; } }; std::vector<std::pair<Ray, Ray>> argSort(std::vector<std::pair<long long, long long>> xy) { std::vector<std::pair<Ray, Ray>> p; for(auto [x, y] : xy) p.push_back(std::make_pair(Ray{x - 1, y}, Ray{x, y - 1})); std::sort(p.begin(), p.end()); return p; } #line 2 "cpplib/math/comb.hpp" #include <vector> template <class T> struct COMB { long long n; std::vector<T> fa, ifa; COMB(long long n_) : n(n_) { fa.resize(n + 1); ifa.resize(n + 1); fa[0] = 1; for(long long i = 1; i <= n; i++) fa[i] = fa[i - 1] * i; ifa[n] = (T)(1) / fa[n]; for(long long i = n - 1; i >= 0; i--) ifa[i] = ifa[i + 1] * (i + 1); } T comb(long long n, long long r) { return n < 0 || r < 0 || n < r ? (T)(0) : fa[n] * ifa[r] * ifa[n - r]; } }; #line 2 "cpplib/math/ksb.hpp" #include <vector> #include <map> std::map<long long, long long> ksb(std::vector<long long> ns) { std::map<long long, long long> m; for(auto n : ns) { for(long long i = 2; i * i <= n; i++) { long long tmp = 0; while(n % i == 0) { tmp++; n /= i; } if(0 != tmp) m[i]++; if(n == 1) break; } if(1 != n) m[n]++; } return m; } #line 2 "cpplib/math/modint.hpp" template <long long Mod> struct modInt { long long x; constexpr modInt() noexcept : x() {} template <class T> constexpr modInt(T v = 0) noexcept : x(v% Mod) { if(x < 0) x += Mod; } constexpr long long getval() const noexcept { return x; } constexpr modInt operator-() const noexcept { return x ? Mod - x : 0; } constexpr modInt operator+(const modInt& r) const noexcept { return modInt(*this) += r; } constexpr modInt operator-(const modInt& r) const noexcept { return modInt(*this) -= r; } constexpr modInt operator*(const modInt& r) const noexcept { return modInt(*this) *= r; } constexpr modInt operator/(const modInt& r) const noexcept { return modInt(*this) /= r; } constexpr modInt& operator+=(const modInt& r) noexcept { x += r.x; if(x >= Mod) x -= Mod; return *this; } constexpr modInt& operator-=(const modInt& r) noexcept { x -= r.x; if(x < 0) x += Mod; return *this; } constexpr modInt& operator*=(const modInt& r) noexcept { x = x * r.x % Mod; return *this; } constexpr modInt& operator/=(const modInt& r) noexcept { x = x * r.inv().getval() % Mod; return *this; } constexpr modInt powm(long long n) noexcept { if(n < 0) return powm(-n).inv(); modInt x = *this, r = 1; for(; n; x *= x, n >>= 1) if(n & 1) r *= x; return r; } constexpr modInt inv() const noexcept { long long a = x, b = Mod, u = 1, v = 0; while(b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return modInt(u); } constexpr modInt comb(long long a) noexcept { modInt n = *this, s = 1; for(int i = 0; i < a; i++) s *= (n - modInt(i)); modInt m = 1; for(int i = 1; i <= a; i++) m *= modInt(i); return s * m.powm(Mod - 2); //Fermat's little thm } constexpr bool operator==(const modInt& r) { return this->x == r.x; } constexpr bool operator!=(const modInt& r) { return this->x != r.x; } friend std::ostream& operator<<(std::ostream& os, const modInt<Mod>& a) { return os << a.x; } friend std::istream& operator>>(std::istream& is, modInt<Mod>& a) { long long v; is >> v; a = modInt<Mod>(v); return is; } }; //const long long mod=1000000007; //using mint=modInt<mod>; using mint = modInt<1000000007>; using mint2 = modInt<998244353>; #line 2 "cpplib/math/modinv.hpp" long long modpow(long long a, long long b, long long mod) { a %= mod; long long r = 1; while(b) { r = r * ((b % 2) ? a : 1) % mod; a = a * a % mod; b >>= 1; } return r; } long long modinv(long long a, long long mod) { return modpow(a, mod - 2, mod); } #line 2 "cpplib/math/primefact.hpp" #include <vector> template <class T> std::vector<std::pair<T, T>> prime_factor(T n) { std::vector<std::pair<T, T>> ret; for(T i = 2; i * i <= n; i++) { if(n % i != 0) continue; T tmp = 0; while(n % i == 0) { tmp++; n /= i; } ret.push_back(make_pair(i, tmp)); } if(n != 1) ret.push_back(make_pair(n, 1)); return ret; } #line 2 "cpplib/Structure/binaryheap.hpp" #include <vector> //bheap struct bheap { std::vector<long> _a; bheap() { _a.push_back(0L); } void push(long _x) { _a.push_back(_x); long pos = _a.size() - 1; for(; pos > 1 && _a[pos] < _a[pos / 2]; std::swap(_a[pos], _a[pos / 2]), pos /= 2) ; } void pop() { _a[1] = _a[_a.size() - 1]; _a.pop_back(); if(_a.size() == 1) return; long pos = 1, lc, rc; for(; (lc = pos * 2) < _a.size();) { rc = lc + 1; if(lc == _a.size() - 1) { if(_a[pos] > _a[lc]) { std::swap(_a[pos], _a[lc]); pos = lc; } else { break; } } else { if(_a[lc] < _a[rc]) { if(_a[lc] < _a[pos]) { std::swap(_a[pos], _a[lc]); pos = lc; } else { break; } } else { if(_a[rc] < _a[pos]) { std::swap(_a[pos], _a[rc]); pos = rc; } else { break; } } } } } long getmin() { return _a[1]; } long siz() { return _a.size() - 1; } void cl() { _a.clear(); _a.push_back(0L); } }; #line 2 "cpplib/Structure/BinaryIndexedTree.hpp" #include <vector> //BinaryIndexedTree(1-indexed) template <class T> struct BIT { int n; std::vector<T> B_I_T; BIT(int n_ = 0, T init = 0) : n(n_), B_I_T(n_ + 1, init) {} T sum(int i) { T ans = 0; for(; i > 0; i -= i & -i) ans += B_I_T[i]; return ans; } void add(int i, T a) { if(!i) return; for(; i <= n; i += i & -i) B_I_T[i] += a; } int l_b_B_I_T(T k) { if(k <= 0) return 0; int ret = 0, i = 1; for(; (i << 1) <= n; i <<= 1) ; for(; i; i >>= 1) if(ret + i <= n && B_I_T[ret + i] < k) k -= B_I_T[ret += i]; return (ret + 1); } }; #line 2 "cpplib/Structure/compress_vector.hpp" template <class T> struct compress_vector { int n; std::vector<T> a; compress_vector(int n_) : n(n_), a(n_) {}; void compress() { std::map<T, T> mp; for(int i = 0; i < n; i++) mp[a[i]] = -1; int c = 0; for(auto& p : mp) p.second = c++; for(int i = 0; i < n; i++) a[i] = mp[a[i]]; } }; #line 2 "cpplib/Structure/dynamic_connectivity.hpp" #include <iostream> #include <vector> #include <functional> #include <unordered_set> #include <unordered_map> #define LL long long template<class T> class dynamic_connectivity { class euler_tour_tree { public: struct node; using nodeP = node*; struct node { nodeP ch[2] = {nullptr, nullptr}; nodeP p = nullptr; int l, r, sz; T val = et, sum = et; bool exact; bool child_exact; bool edge_connected = false; bool child_edge_connected = false; node() {} node(int l, int r) : l(l), r(r), sz(l == r), exact(l < r), child_exact(l < r) {} bool is_root() { return !p; } }; std::vector<std::unordered_map<int, nodeP>> ptr; nodeP get_node(int l, int r) { if(ptr[l].find(r) == ptr[l].end()) ptr[l][r] = new node(l, r); return ptr[l][r]; } nodeP root(nodeP t) { if(!t) return t; while(t->p) t = t->p; return t; } bool same(nodeP s, nodeP t) { if(s) splay(s); if(t) splay(t); return root(s) == root(t); } nodeP reroot(nodeP t) { auto s = split(t); return merge(s.second, s.first); } std::pair<nodeP, nodeP> split(nodeP s) { splay(s); nodeP t = s->ch[0]; if(t) t->p = nullptr; s->ch[0] = nullptr; return std::make_pair(t, update(s)); } std::pair<nodeP, nodeP> split2(nodeP s) { splay(s); nodeP t = s->ch[0]; nodeP u = s->ch[1]; if(t) t->p = nullptr; s->ch[0] = nullptr; if(u) u->p = nullptr; s->ch[1] = nullptr; return std::make_pair(t, u); } std::tuple<nodeP, nodeP, nodeP> split(nodeP s, nodeP t) { auto u = split2(s); if(same(u.first, t)) { auto r = split2(t); return std::make_tuple(r.first, r.second, u.second); } else { auto r = split2(t); return std::make_tuple(u.first, r.first, r.second); } } template<class Car, class... Cdr> nodeP merge(Car car, Cdr... cdr) { return merge(car, merge(cdr...)); } nodeP merge(nodeP s, nodeP t) { if(!s) return t; if(!t) return s; while(s->ch[1]) s = s->ch[1]; splay(s); s->ch[1] = t; if(t) t->p = s; return update(s); } int size(nodeP t) { return t ? t->sz : 0; } nodeP update(nodeP t) { t->sum = et; if(t->ch[0]) t->sum = fn(t->sum, t->ch[0]->sum); if(t->l == t->r) t->sum = fn(t->sum, t->val); if(t->ch[1]) t->sum = fn(t->sum, t->ch[1]->sum); t->sz = size(t->ch[0]) + (int)(t->l == t->r) + size(t->ch[1]); t->child_edge_connected = ( t->ch[0] ? t->ch[0]->child_edge_connected : 0 ) | (t->edge_connected) | ( t->ch[1] ? t->ch[1]->child_edge_connected : 0 ); t->child_exact = ( t->ch[0] ? t->ch[0]->child_exact : 0 ) | (t->exact) | ( t->ch[1] ? t->ch[1]->child_exact : 0 ); return t; } void push(nodeP t) {} void rot(nodeP t, bool b) { nodeP x = t->p, y = x->p; if(x->ch[1 - b] = t->ch[b]) t->ch[b]->p = x; t->ch[b] = x, x->p = t; update(x); update(t); if(t->p = y) { if(y->ch[0] == x) y->ch[0] = t; if(y->ch[1] == x) y->ch[1] = t; update(y); } } void splay(nodeP t) { push(t); while(!t->is_root()) { nodeP q = t->p; if(q->is_root()) { push(q); push(t); rot(t, (q->ch[0] == t)); } else { nodeP r = q->p; push(r); push(q); push(t); bool b = (r->ch[0] == q); if(q->ch[1 - b] == t) { rot(q, b); rot(t, b); } else { rot(t, 1 - b); rot(t, b); } } } } void debug(nodeP t) { if(!t) return; debug(t->ch[0]); std::cerr << t->l << '-' << t->r << ' '; debug(t->ch[1]); } public: euler_tour_tree() {} euler_tour_tree(int sz) { ptr.resize(sz); for(int i = 0; i < sz; i++) ptr[i][i] = new node(i, i); } int size(int s) { nodeP t = get_node(s, s); splay(t); return t->sz; } bool same(int s, int t) { return same(get_node(s, s), get_node(t, t)); } void set_size(int sz) { ptr.resize(sz); for(int i = 0; i < sz; i++) ptr[i][i] = new node(i, i); } void update(int s, T x) { nodeP t = get_node(s, s); splay(t); t->val = fn(t->val, x); update(t); } void edge_update(int s, auto g) { nodeP t = get_node(s, s); splay(t); std::function<void(nodeP)> dfs = [&](nodeP t) { assert(t); if(t->l < t->r && t->exact) { splay(t); t->exact = 0; update(t); g(t->l, t->r); return; } if(t->ch[0] && t->ch[0]->child_exact) dfs(t->ch[0]); else dfs(t->ch[1]); }; while(t && t->child_exact) { dfs(t); splay(t); } } bool try_reconnect(int s, auto f) { nodeP t = get_node(s, s); splay(t); std::function<bool(nodeP)> dfs = [&](nodeP t) -> bool { assert(t); if(t->edge_connected) { splay(t); return f(t->l); } if(t->ch[0] && t->ch[0]->child_edge_connected) return dfs(t->ch[0]); else return dfs(t->ch[1]); }; while(t->child_edge_connected) { if(dfs(t)) return true; splay(t); } return false; } void edge_connected_update(int s, bool b) { nodeP t = get_node(s, s); splay(t); t->edge_connected = b; update(t); } bool link(int l, int r) { if(same(l, r)) return false; merge(reroot(get_node(l, l)), get_node(l, r), reroot(get_node(r, r)), get_node(r, l)); return true; } bool cut(int l, int r) { if(ptr[l].find(r) == ptr[l].end()) return false; nodeP s, t, u; std::tie(s, t, u) = split(get_node(l, r), get_node(r, l)); merge(s, u); nodeP p = ptr[l][r]; nodeP q = ptr[r][l]; ptr[l].erase(r); ptr[r].erase(l); delete p; delete q; return true; } T get_sum(int p, int v) { cut(p, v); nodeP t = get_node(v, v); splay(t); T res = t->sum; link(p, v); return res; } T get_sum(int s) { nodeP t = get_node(s, s); splay(t); return t->sum; } }; int dep = 1; std::vector<euler_tour_tree> ett; std::vector<std::vector<std::unordered_set<int>>> edges; int sz; public: dynamic_connectivity(int sz) : sz(sz) { ett.emplace_back(sz); edges.emplace_back(sz); } bool link(int s, int t) { if(s == t) return false; if(ett[0].link(s, t)) return true; edges[0][s].insert(t); edges[0][t].insert(s); if(edges[0][s].size() == 1) ett[0].edge_connected_update(s, 1); if(edges[0][t].size() == 1) ett[0].edge_connected_update(t, 1); return false; } bool same(int s, int t) { return ett[0].same(s, t); } int size(int s) { return ett[0].size(s); } std::vector<int> get_vertex(int s) { return ett[0].vertex_list(s); } void update(int s, T x) { ett[0].update(s, x); } T get_sum(int s) { return ett[0].get_sum(s); } bool cut(int s, int t) { if(s == t) return false; for(int i = 0; i < dep; i++) { edges[i][s].erase(t); edges[i][t].erase(s); if(edges[i][s].size() == 0) ett[i].edge_connected_update(s, 0); if(edges[i][t].size() == 0) ett[i].edge_connected_update(t, 0); } for(int i = dep - 1; i >= 0; i--) { if(ett[i].cut(s, t)) { if(i == dep - 1) { dep++; ett.emplace_back(sz); edges.emplace_back(sz); } return !try_reconnect(s, t, i); } } return false; } bool try_reconnect(int s, int t, int k) { for(int i = 0; i < k; i++) ett[i].cut(s, t); for(int i = k; i >= 0; i--) { if(ett[i].size(s) > ett[i].size(t)) std::swap(s, t); auto g = [&](int s, int t) { ett[i + 1].link(s, t); }; ett[i].edge_update(s, g); auto f = [&](int x) -> bool { for(auto itr = edges[i][x].begin(); itr != edges[i][x].end();) { auto y = *itr; itr = edges[i][x].erase(itr); edges[i][y].erase(x); if(edges[i][x].size() == 0) ett[i].edge_connected_update(x, 0); if(edges[i][y].size() == 0) ett[i].edge_connected_update(y, 0); if(ett[i].same(x, y)) { edges[i + 1][x].insert(y); edges[i + 1][y].insert(x); if(edges[i + 1][x].size() == 1) ett[i + 1].edge_connected_update(x, 1); if(edges[i + 1][y].size() == 1) ett[i + 1].edge_connected_update(y, 1); } else { for(int j = 0; j <= i; j++) ett[j].link(x, y); return true; } } return false; }; if(ett[i].try_reconnect(s, f)) return true; } return false; } constexpr static T et = T(); constexpr static T fn(T s, T t) { return s + t; } }; #line 2 "cpplib/Structure/HashMap.hpp" #include <vector> #include <string> //hmap struct hmap { std::vector<std::vector<std::pair<std::string, int>>> l_; hmap() { l_.resize(10000, std::vector<std::pair<std::string, int>>(0)); } int gethash(std::string key) { int r = 0; for(int i = 0; i < key.length(); i++) r += key[i]; return r % 10000 * 17 % 10000; } void put(std::string key, int val) { int id = gethash(key); if(l_[id].empty()) l_[id].push_back(make_pair(key, val)); else { auto& ar = l_[id]; for(int i = 0; i < ar.size(); i++) { auto pr = ar[i]; if(pr.first == key) { ar.erase(ar.begin() + i); break; } } ar.push_back(make_pair(key, val)); } } int get(std::string key) { int id = gethash(key); if(l_[id].empty()) return -1; else { auto& ar = l_[id]; for(int i = 0; i < ar.size(); i++) { auto pr = ar[i]; if(pr.first == key) return pr.second; } return -1; } } void rm(std::string key) { int id = gethash(key); if(l_[id].empty()) return; auto& ar = l_[id]; for(int i = 0; i < ar.size(); i++) { auto pr = ar[i]; if(pr.first == key) { ar.erase(ar.begin() + i); break; } } } }; #line 2 "cpplib/Structure/lazysegtree.hpp" /* TODO: 完成させる //lazysegtree template<typename X,typename M>struct lazyseg { int n; std::function<X(X,X)>fx; std::function<X(X,M)>fa; std::function<X(M,M)>fm; const X ex; const M em; std::vector<X>d; std::vector<M>lazy; lazyseg ( int n_, std::function<X(X,X)>fx_, std::function<X(X,M)>fa_, std::function<X(M,M)>fm_, X ex_, M em_ ):n(),fx(fx_),fa(fa_),fm(fm_),ex(ex_),em(em_),d(n_*4,ex),lazy(n_*4,em) { int x=1; while(n_>x)x*=2; n=x; } void set(int i,X x){d[i+n-1]=x;} void build(){for(int k=n-2;k>=0;k--)d[k]=fx(d[2*k+1],d[2*k+2]);} void eval(int k) { if(lazy[k]==em)return; if(k<n-1) { lazy[k*2+1]=fm(lazy[k*2+1],lazy[k]); lazy[k*2+2]=fm(lazy[k*2+2],lazy[k]); } d[k]=fa(d[k],lazy[k]); lazy[k]=em; } void update(int a,int b,M x,int k,int l,int r) { eval(k); if(a<=l&&r<=b)lazy[k]=fm(lazy[k],x),eval(k); else if(a<r&&l<b) { update(a,b,x,k*2+1,l,(l+r)/2); update(a,b,x,k*2+2,(l+r)/2,r); d[k]=fx(d[k*2+1],d[k*2+2]); } } void update(int a,int b,M x){update(a,b,x,0,0,n);} X qsub(int a,int b,int k,int l,int r) { eval(k); if(r<=a||b<=l)return ex; else if(a<=l&&r<=b)return d[k]; else { X vl=qsub(a,b,k*2+1,l,(l+r)/2); X vr=qsub(a,b,k*2+2,(l+r)/2,r); return fx(vl,vr); } } X query(int a,int b){return qsub(a,b,0,0,n);} }; //RMQ : //int n=**size** //auto fx=[](int a,int b)->int{return min(a,b);}; //auto fa=[](int x,int m)->int{return m;}; //auto fm=[](int m1,int m2)->int{return m2;}; //int ex=inf; //int em=inf; //lazyseg<int,int>rmq(n,fx,fa,fm,ex,em); */ #line 2 "cpplib/Structure/segtree.hpp" // Segtree template <class T> struct segtree { using F = std::function<T(T, T)>; int sz; std::vector<T> seg; const F f; const T m1; segtree(int n, const F f, const T& m1) : f(f), m1(m1) { for(sz = 1; sz < n; sz <<= 1) ; seg.assign(2 * sz, m1); } void update(int k, const T& x) { k += sz; seg[k] = x; for(; k >>= 1;) seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } void set(int k, const T& x) { seg[k + sz] = x; } void build() { for(int k = sz - 1; k > 0; k--) seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } T query(int a, int b) { T L = m1, R = m1; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) L = f(L, seg[a++]); if(b & 1) R = f(seg[--b], R); } return f(L, R); } T operator[](const int& k) const { return seg[k + sz]; } template <class C> int find_subtree(int a, const C& check, T& M, bool type) { for(; a < sz;) { T nxt = type ? f(seg[2 * a + type], M) : f(M, seg[2 * a + type]); if(check(nxt)) a = 2 * a + type; else M = nxt, a = 2 * a + 1 - type; } return a - sz; } template <class C> int find_first(int a, const C& check) { T L = m1; if(a <= 0) return check(f(L, seg[1])) ? find_subtree(1, check, L, false) : -1; int b = sz; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) { T nxt = f(L, seg[a]); if(check(nxt)) return find_subtree(a, check, L, false); L = nxt; a++; } } return -1; } template <class C> int find_last(int b, const C& check) { T R = m1; if(b >= sz) return check(f(seg[1], R)) ? find_subtree(1, check, R, true) : -1; int a = sz; for(b += sz; a < b; a >>= 1, b >>= 1) { if(b & 1) { T nxt = f(seg[--b], R); if(check(nxt)) return find_subtree(b, check, R, true); R = nxt; } } return -1; } }; // SegmentTree(n, f, M1):= サイズ n の初期化。 // f : 2つの区間の要素をマージする二項演算, // M1 はモノイドの単位元である。 // set(k, x):= k 番目の要素に x を代入する。 // build():= セグメント木を構築する。 // query(a, b):= 区間 [a, b) に対して二項演算した結果を返す。 // update(k, x):= k 番目の要素を x に変更する。 // operator[k] := k 番目の要素を返す。 // find_first(a, check) := [a,x) が check を満たす最初の要素位置 x を返す。 // find_last(b, check) := [x,b) が check を満たす最後の要素位置 x を返す。 // for example : segtree<int>seg(n,[](int a,int b){return min(a,b);},INT32_MAX); #line 2 "cpplib/Structure/union-find.hpp" #include <vector> #include <algorithm> //union-find struct uni { int n_; std::vector<int> par, siz; uni(int n) : n_(n), par(n), siz(n, 1LL) { for(int i = 0; i < n; i++) par[i] = i; } void init(int n) { par.resize(n); siz.assign(n, 1LL); for(int i = 0; i < n; i++) par[i] = i; } void merge(int x, int y) { int rx = root(x); int ry = root(y); if(rx == ry) return; if(siz[rx] < siz[ry]) std::swap(rx, ry); siz[rx] += siz[ry]; par[ry] = rx; return; } int root(int x) { return par[x] == x ? x : par[x] = root(par[x]); } bool same(int x, int y) { return root(x) == root(y); } int size(int x) { return siz[root(x)]; } std::vector<std::vector<int>> groups() { std::vector<int> rbuf(n_), grsiz(n_); for(int i = 0; i < n_; i++) grsiz[(rbuf[i] = root(i))]++; std::vector<std::vector<int>> res(n_); for(int i = 0; i < n_; i++) res[i].reserve(grsiz[i]); for(int i = 0; i < n_; i++) res[rbuf[i]].push_back(i); res.erase(remove_if(res.begin(), res.end(), [&](const std::vector<int>& v) { return v.empty(); }), res.end()); return res; } }; #line 2 "Main.cpp" bool is_prime(LL n) { if(n<=1)return false; if(n==2)return true; if(n%2==0)return false; for(LL i=3;i<=(LL)sqrt(n);i+=2) { if(n!=i&&n%i==0)return false; } return true; } void solve() { using namespace std; STR(s); int n=s.size(); LL ans=0; bitfor(bit,n) { LL sm=0,cur=0; rep(i,n) { cur=cur*10+s[i]-'0'; bitif(bit,i) { sm+=cur; cur=0; } } sm+=cur; ans+=is_prime(sm); } println(ans/2); } std::int32_t main() { // std::ios::sync_with_stdio(false); std::cin.tie(nullptr); std::cout << std::fixed << std::setprecision(15); solve(); }