結果
問題 | No.1747 Many Formulae 2 |
ユーザー |
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提出日時 | 2021-11-19 21:26:19 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 2 ms / 2,000 ms |
コード長 | 9,707 bytes |
コンパイル時間 | 2,061 ms |
コンパイル使用メモリ | 209,180 KB |
最終ジャッジ日時 | 2025-01-25 19:56:36 |
ジャッジサーバーID (参考情報) |
judge5 / judge5 |
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ファイルパターン | 結果 |
---|---|
other | AC * 19 |
ソースコード
// >>> TEMPLATES#include <bits/stdc++.h>using namespace std;using ll = long long;using ld = long double;using i32 = int32_t;using i64 = int64_t;using u32 = uint32_t;using u64 = uint64_t;#define int ll#define rep(i, n) for (int i = 0; i < (int)(n); i++)#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)#define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--)#define rep1R(i, n) for (int i = (int)(n); i >= 1; i--)#define loop(i, a, B) for (int i = a; i B; i++)#define loopR(i, a, B) for (int i = a; i B; i--)#define all(x) begin(x), end(x)#define allR(x) rbegin(x), rend(x)#define rng(x, l, r) begin(x) + (l), begin(x) + (r)#define pb push_back#define eb emplace_back#define fst first#define snd secondtemplate <class A, class B> constexpr auto mp(A &&a, B &&b) { return make_pair(forward<A>(a), forward<B>(b)); }template <class... T> constexpr auto mt(T&&... x) { return make_tuple(forward<T>(x)...); }template <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1;auto constexpr INF32 = inf_<int32_t>;auto constexpr INF64 = inf_<int64_t>;auto constexpr INF = inf_<int>;#ifdef LOCAL#include "debug.hpp"#else#define dump(...) (void)(0)#define say(x) (void)(0)#define debug if (0)#endiftemplate <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> { vector<T> &data() { return this->c; } void clear() { this->c.clear(); } };template <class T> using pque_max = pque<T, less<T>>;template <class T> using pque_min = pque<T, greater<T>>;template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; }template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) { return is >> p.first >> p.second; }struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;template <class F> struct FixPoint : private F {constexpr FixPoint(F&& f) : F(forward<F>(f)) {}template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }};struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };#define MFP MakeFixPoint()|#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)template <class T, size_t d> struct vec_impl {using type = vector<typename vec_impl<T, d-1>::type>;template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T, d-1>::make_v(forward<U>(x)...)); }};template <class T> struct vec_impl<T, 0> { using type = T; static type make_v(T const& x = {}) { return x; } };template <class T, size_t d = 1> using vec = typename vec_impl<T, d>::type;template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T, d>::make_v(forward<Args>(args)...); }template <class T> void quit(T const& x) { cout << x << endl; exit(0); }template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; }template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; }template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }template <class T> int sz(T const& x) { return x.size(); }template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }constexpr int64_t mod(int64_t x, int64_t m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; }constexpr int64_t div_floor(int64_t x, int64_t y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); }constexpr int64_t div_ceil(int64_t x, int64_t y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); }constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 };constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 };constexpr int popcnt(ll x) { return __builtin_popcountll(x); }mt19937_64 seed_{random_device{}()};template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); }i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b]u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } //template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); }template <class V> V &operator--(V &v) { for (auto &x : v) --x; return v; }template <class V> V &operator++(V &v) { for (auto &x : v) ++x; return v; }// <<<// >>> is_prime, factornamespace internal {using i64 = int64_t;using u32 = uint32_t;using u64 = uint64_t;using u128 = __uint128_t;mt19937_64 mt{random_device{}()};u64 rnd(u64 n) { return uniform_int_distribution<u64>(0, n-1)(mt); }// >>> montgomery (64bit)struct m64 {using i64 = int64_t;using u64 = uint64_t;using u128 = __uint128_t;inline static u64 m, r, n2; // r * m = -1 (mod 1<<64), n2 = 1<<128 (mod m)static void set_mod(u64 m) {assert(m < (1ull << 62));assert((m & 1) == 1);m64::m = m;n2 = -u128(m) % m;r = m;rep (_, 5) r *= 2 - m*r;r = -r;assert(r * m == -1ull);}static u64 reduce(u128 b) { return (b + u128(u64(b) * r) * m) >> 64; }u64 x;m64() : x(0) {}m64(u64 x) : x(reduce(u128(x) * n2)){};u64 val() const { u64 y = reduce(x); return y >= m ? y-m : y; }m64 &operator+=(m64 y) {x += y.x - (m << 1);x = (i64(x) < 0 ? x + (m << 1) : x);return *this;}m64 &operator-=(m64 y) {x -= y.x;x = (i64(x) < 0 ? x + (m << 1) : x);return *this;}m64 &operator*=(m64 y) { x = reduce(u128(x) * y.x); return *this; }m64 operator+(m64 y) const { return m64(*this) += y; }m64 operator-(m64 y) const { return m64(*this) -= y; }m64 operator*(m64 y) const { return m64(*this) *= y; }bool operator==(m64 y) const { return (x >= m ? x-m : x) == (y.x >= m ? y.x-m : y.x); }bool operator!=(m64 y) const { return not operator==(y); }m64 pow(u64 n) const {m64 y = 1, z = *this;for ( ; n; n >>= 1, z *= z) if (n & 1) y *= z;return y;}};// <<<// >>> is_prime (Miller-Rabin)bool is_prime(const uint64_t x) {if (x == 2 or x == 3 or x == 5 or x == 7) return true;if (x % 2 == 0 or x % 3 == 0 or x % 5 == 0 or x % 7 == 0) return false;if (x < 121) return x > 1;const u64 d = (x-1) >> __builtin_ctzll(x-1);m64::set_mod(x);const m64 one(1), minus_one(x-1);auto ok = [&](u64 a) {auto y = m64(a).pow(d);u64 t = d;while (y != one and y != minus_one and t != x-1) y *= y, t <<= 1;if (y != minus_one and t % 2 == 0) return false;return true;};if (x < (1ull << 32)) {for (u64 a : { 2, 7, 61 }) if (not ok(a)) return false;} else {for (u64 a : { 2, 325, 9375, 28178, 450775, 9780504, 1795265022 }) {if (x <= a) return true;if (not ok(a)) return false;}}return true;}// <<<// >>> factor (Pollard rho)u64 rho(u64 n, u64 c) {m64::set_mod(n);assert(n > 1);const m64 cc(c);auto f = [&](m64 x) { return x*x + cc; };m64 x = 1, y = 2, z = 1, q = 1;u64 g = 1;const u64 m = 1LL<<(__lg(n)/5); // ?for (u64 r = 1; g == 1; r <<= 1) {x = y;rep (_, r) y = f(y);for (u64 k = 0; k < r and g == 1; k += m) {z = y;rep (_, min(m, r-k)) y = f(y), q *= x-y;g = gcd(q.val(), n);}}if (g == n) do { z = f(z); g = gcd((x-z).val(), n); } while (g == 1);return g;}u64 find_prime_factor(u64 n) {assert(n > 1);if (is_prime(n)) return n;rep (_, 100) {u64 m = rho(n, rnd(n));if (is_prime(m)) return m;n = m;}cerr << "failed" << endl;assert(false);return -1;}vector<pair<u64, u32>> factor(u64 n) {static vector<pair<u64, u32>> v;v.clear();for (u64 i = 2; i <= 100 and i*i <= n; ++i) {if (n % i == 0) {u32 cnt = 0;do ++cnt, n /= i; while (n % i == 0);v.emplace_back(i, cnt);}}while (n > 1) {auto p = find_prime_factor(n);u32 cnt = 0;do ++cnt, n /= p; while (n % p == 0);v.emplace_back(p, cnt);}sort(v.begin(), v.end());return v;}// <<<}using ::internal::is_prime;using ::internal::factor;// <<<int32_t main() {string s; cin >> s;int n = s.size();int ans = 0;rep (bit, 1LL<<(n-1)) {vector<int> a;a.eb(s[0]-'0');rep (i, n-1) {int x = s[i+1]-'0';if (bit>>i&1) {a.eb(x);} else {a.back() = a.back()*10 + x;}}int sum = sumof(all(a));dump(sum);if (is_prime(sum)) ans++;}cout << ans << '\n';}