#define PROBLEM "https://judge.yosupo.jp/problem/aplusb" // #include "../../template/template.hpp" // #include "../../math-fast/radix-sort.hpp" // #include "../../misc/all.hpp" using namespace Nyaan; template <typename T> void test(int N) { ll mx = numeric_limits<T>::max(); if (N <= 300) { mx = pow(2.0, rnd() * log2(numeric_limits<T>::max())); mx = clamp<T>(mx, 1, numeric_limits<T>::max()); } Timer timer; { V<T> v(N); each(x, v) x = rng(-mx, mx); auto w = v; timer.reset(); radix_sort(v); ll t1 = timer.elapsed(); timer.reset(); sort(all(w)); ll t2 = timer.elapsed(); assert(v == w); if (N >= TEN(8)) DebugImpl::trace("N", N, "radix", t1, "std", t2); } if (N <= 300) { V<pair<T, T>> v(N); each(x, v) { x.fi = rng(-mx, mx); x.se = rng(-mx, mx); } auto w = v; radix_sort_compare_first(v); stable_sort(all(w), [](const pair<T, T>& a, const pair<T, T>& b) { return a.first < b.first; }); if (v != w) { trc2(v); trc2(w); } assert(v == w); } } void q() { { vector<int> v{2, 0, 1, -1, -2}; radix_sort(v); vector<int> w{-2, -1, 0, 1, 2}; assert(v == w); } { vector<int> v{2, 0, 2, -1, 1, 2, 0, -1, -2}; radix_sort(v); vector<int> w{-2, -1, -1, 0, 0, 1, 2, 2, 2}; assert(v == w); } { vector<ll> v{2, 0, 2, -1, 1, 2, 0, -1, -2}; radix_sort(v); vector<ll> w{-2, -1, -1, 0, 0, 1, 2, 2, 2}; assert(v == w); } rep(N, 200) rep(t, 200) { test<int>(N); test<uint32_t>(N); test<ll>(N); } rep(e, 6) { test<int>(TEN(e)); test<uint32_t>(TEN(e)); test<ll>(TEN(e)); } cerr << "OK" << endl; /* cerr << "OK" << endl; rep(t, 3) test<int>(TEN(7)); rep(t, 3) test<ll>(TEN(7)); */ int a, b; cin >> a >> b; cout << a + b << endl; } void Nyaan::solve() { int t = 1; // in(t); while (t--) q(); }
#line 1 "verify/verify-unit-test/radix-sort.test.cpp" #define PROBLEM "https://judge.yosupo.jp/problem/aplusb" // #line 2 "template/template.hpp" using namespace std; // intrinstic #include <immintrin.h> #include <algorithm> #include <array> #include <bitset> #include <cassert> #include <cctype> #include <cfenv> #include <cfloat> #include <chrono> #include <cinttypes> #include <climits> #include <cmath> #include <complex> #include <cstdarg> #include <cstddef> #include <cstdint> #include <cstdio> #include <cstdlib> #include <cstring> #include <deque> #include <fstream> #include <functional> #include <initializer_list> #include <iomanip> #include <ios> #include <iostream> #include <istream> #include <iterator> #include <limits> #include <list> #include <map> #include <memory> #include <new> #include <numeric> #include <ostream> #include <queue> #include <random> #include <set> #include <sstream> #include <stack> #include <streambuf> #include <string> #include <tuple> #include <type_traits> #include <typeinfo> #include <unordered_map> #include <unordered_set> #include <utility> #include <vector> // utility #line 1 "template/util.hpp" namespace Nyaan { using ll = long long; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; template <typename T> using V = vector<T>; template <typename T> using VV = vector<vector<T>>; using vi = vector<int>; using vl = vector<long long>; using vd = V<double>; using vs = V<string>; using vvi = vector<vector<int>>; using vvl = vector<vector<long long>>; template <typename T> using minpq = priority_queue<T, vector<T>, greater<T>>; template <typename T, typename U> struct P : pair<T, U> { template <typename... Args> P(Args... args) : pair<T, U>(args...) {} using pair<T, U>::first; using pair<T, U>::second; P &operator+=(const P &r) { first += r.first; second += r.second; return *this; } P &operator-=(const P &r) { first -= r.first; second -= r.second; return *this; } P &operator*=(const P &r) { first *= r.first; second *= r.second; return *this; } template <typename S> P &operator*=(const S &r) { first *= r, second *= r; return *this; } P operator+(const P &r) const { return P(*this) += r; } P operator-(const P &r) const { return P(*this) -= r; } P operator*(const P &r) const { return P(*this) *= r; } template <typename S> P operator*(const S &r) const { return P(*this) *= r; } P operator-() const { return P{-first, -second}; } }; using pl = P<ll, ll>; using pi = P<int, int>; using vp = V<pl>; constexpr int inf = 1001001001; constexpr long long infLL = 4004004004004004004LL; template <typename T> int sz(const T &t) { return t.size(); } template <typename T, typename U> inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template <typename T, typename U> inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template <typename T> inline T Max(const vector<T> &v) { return *max_element(begin(v), end(v)); } template <typename T> inline T Min(const vector<T> &v) { return *min_element(begin(v), end(v)); } template <typename T> inline long long Sum(const vector<T> &v) { return accumulate(begin(v), end(v), 0LL); } template <typename T> int lb(const vector<T> &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template <typename T> int ub(const vector<T> &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } constexpr long long TEN(int n) { long long ret = 1, x = 10; for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1); return ret; } template <typename T, typename U> pair<T, U> mkp(const T &t, const U &u) { return make_pair(t, u); } template <typename T> vector<T> mkrui(const vector<T> &v, bool rev = false) { vector<T> ret(v.size() + 1); if (rev) { for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1]; } else { for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; } return ret; }; template <typename T> vector<T> mkuni(const vector<T> &v) { vector<T> ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template <typename F> vector<int> mkord(int N, F f) { vector<int> ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template <typename T> vector<int> mkinv(vector<T> &v) { int max_val = *max_element(begin(v), end(v)); vector<int> inv(max_val + 1, -1); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } vector<int> mkiota(int n) { vector<int> ret(n); iota(begin(ret), end(ret), 0); return ret; } template <typename T> T mkrev(const T &v) { T w{v}; reverse(begin(w), end(w)); return w; } template <typename T> bool nxp(vector<T> &v) { return next_permutation(begin(v), end(v)); } // 返り値の型は入力の T に依存 // i 要素目 : [0, a[i]) template <typename T> vector<vector<T>> product(const vector<T> &a) { vector<vector<T>> ret; vector<T> v; auto dfs = [&](auto rc, int i) -> void { if (i == (int)a.size()) { ret.push_back(v); return; } for (int j = 0; j < a[i]; j++) v.push_back(j), rc(rc, i + 1), v.pop_back(); }; dfs(dfs, 0); return ret; } // F : function(void(T&)), mod を取る操作 // T : 整数型のときはオーバーフローに注意する template <typename T> T Power(T a, long long n, const T &I, const function<void(T &)> &f) { T res = I; for (; n; f(a = a * a), n >>= 1) { if (n & 1) f(res = res * a); } return res; } // T : 整数型のときはオーバーフローに注意する template <typename T> T Power(T a, long long n, const T &I) { return Power(a, n, I, function<void(T &)>{[](T &) -> void {}}); } } // namespace Nyaan #line 58 "template/template.hpp" // bit operation #line 1 "template/bitop.hpp" namespace Nyaan { __attribute__((target("popcnt"))) inline int popcnt(const u64 &a) { return _mm_popcnt_u64(a); } inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; } inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; } template <typename T> inline int gbit(const T &a, int i) { return (a >> i) & 1; } template <typename T> inline void sbit(T &a, int i, bool b) { if (gbit(a, i) != b) a ^= T(1) << i; } constexpr long long PW(int n) { return 1LL << n; } constexpr long long MSK(int n) { return (1LL << n) - 1; } } // namespace Nyaan #line 61 "template/template.hpp" // inout #line 1 "template/inout.hpp" namespace Nyaan { template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &p) { os << p.first << " " << p.second; return os; } template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &p) { is >> p.first >> p.second; return is; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template <typename T> istream &operator>>(istream &is, vector<T> &v) { for (auto &x : v) is >> x; return is; } istream &operator>>(istream &is, __int128_t &x) { string S; is >> S; x = 0; int flag = 0; for (auto &c : S) { if (c == '-') { flag = true; continue; } x *= 10; x += c - '0'; } if (flag) x = -x; return is; } istream &operator>>(istream &is, __uint128_t &x) { string S; is >> S; x = 0; for (auto &c : S) { x *= 10; x += c - '0'; } return is; } ostream &operator<<(ostream &os, __int128_t x) { if (x == 0) return os << 0; if (x < 0) os << '-', x = -x; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } ostream &operator<<(ostream &os, __uint128_t x) { if (x == 0) return os << 0; string S; while (x) S.push_back('0' + x % 10), x /= 10; reverse(begin(S), end(S)); return os << S; } void in() {} template <typename T, class... U> void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template <typename T, class... U, char sep = ' '> void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; } // namespace Nyaan #line 64 "template/template.hpp" // debug #line 1 "template/debug.hpp" namespace DebugImpl { template <typename U, typename = void> struct is_specialize : false_type {}; template <typename U> struct is_specialize< U, typename conditional<false, typename U::iterator, void>::type> : true_type {}; template <typename U> struct is_specialize< U, typename conditional<false, decltype(U::first), void>::type> : true_type {}; template <typename U> struct is_specialize<U, enable_if_t<is_integral<U>::value, void>> : true_type { }; void dump(const char& t) { cerr << t; } void dump(const string& t) { cerr << t; } void dump(const bool& t) { cerr << (t ? "true" : "false"); } void dump(__int128_t t) { if (t == 0) cerr << 0; if (t < 0) cerr << '-', t = -t; string S; while (t) S.push_back('0' + t % 10), t /= 10; reverse(begin(S), end(S)); cerr << S; } void dump(__uint128_t t) { if (t == 0) cerr << 0; string S; while (t) S.push_back('0' + t % 10), t /= 10; reverse(begin(S), end(S)); cerr << S; } template <typename U, enable_if_t<!is_specialize<U>::value, nullptr_t> = nullptr> void dump(const U& t) { cerr << t; } template <typename T> void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) { string res; if (t == Nyaan::inf) res = "inf"; if constexpr (is_signed<T>::value) { if (t == -Nyaan::inf) res = "-inf"; } if constexpr (sizeof(T) == 8) { if (t == Nyaan::infLL) res = "inf"; if constexpr (is_signed<T>::value) { if (t == -Nyaan::infLL) res = "-inf"; } } if (res.empty()) res = to_string(t); cerr << res; } template <typename T, typename U> void dump(const pair<T, U>&); template <typename T> void dump(const pair<T*, int>&); template <typename T> void dump(const T& t, enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) { cerr << "[ "; for (auto it = t.begin(); it != t.end();) { dump(*it); cerr << (++it == t.end() ? "" : ", "); } cerr << " ]"; } template <typename T, typename U> void dump(const pair<T, U>& t) { cerr << "( "; dump(t.first); cerr << ", "; dump(t.second); cerr << " )"; } template <typename T> void dump(const pair<T*, int>& t) { cerr << "[ "; for (int i = 0; i < t.second; i++) { dump(t.first[i]); cerr << (i == t.second - 1 ? "" : ", "); } cerr << " ]"; } void trace() { cerr << endl; } template <typename Head, typename... Tail> void trace(Head&& head, Tail&&... tail) { cerr << " "; dump(head); if (sizeof...(tail) != 0) cerr << ","; trace(forward<Tail>(tail)...); } } // namespace DebugImpl #ifdef NyaanDebug #define trc(...) \ do { \ cerr << "## " << #__VA_ARGS__ << " = "; \ DebugImpl::trace(__VA_ARGS__); \ } while (0) #else #define trc(...) (void(0)) #endif #ifdef NyaanLocal #define trc2(...) \ do { \ cerr << "## " << #__VA_ARGS__ << " = "; \ DebugImpl::trace(__VA_ARGS__); \ } while (0) #else #define trc2(...) (void(0)) #endif #line 67 "template/template.hpp" // macro #line 1 "template/macro.hpp" #define each(x, v) for (auto&& x : v) #define each2(x, y, v) for (auto&& [x, y] : v) #define all(v) (v).begin(), (v).end() #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define fi first #define se second #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define die(...) \ do { \ Nyaan::out(__VA_ARGS__); \ return; \ } while (0) #line 70 "template/template.hpp" namespace Nyaan { void solve(); } int main() { Nyaan::solve(); } #line 4 "verify/verify-unit-test/radix-sort.test.cpp" // #line 2 "math-fast/radix-sort.hpp" #line 6 "math-fast/radix-sort.hpp" using namespace std; namespace RadixSortImpl { constexpr int b = 8; constexpr int powb = 1 << b; constexpr int mask = powb - 1; int cnt0[powb]; int cnt1[powb]; int cnt2[powb]; int cnt3[powb]; template <typename T> void radix_sort(int N, T* p) { static_assert(sizeof(T) == 4 or sizeof(T) == 8); if (!N) return; if (N <= 64) { sort(p, p + N); return; } static T* tmp = nullptr; static int tmp_size = 0; if (!tmp or tmp_size < N) { if (tmp) delete[] tmp; tmp_size = 1; while (tmp_size < N) tmp_size *= 2; tmp = new T[tmp_size]; } memset(cnt0, 0, sizeof(cnt0)); memset(cnt1, 0, sizeof(cnt1)); memset(cnt2, 0, sizeof(cnt2)); memset(cnt3, 0, sizeof(cnt3)); for (int i = 0; i < N; i++) { cnt0[p[i] & mask]++; cnt1[(p[i] >> b) & mask]++; cnt2[(p[i] >> b * 2) & mask]++; cnt3[(p[i] >> b * 3) & mask]++; } for (int i = 0; i < powb - 1; i++) { cnt0[i + 1] += cnt0[i]; cnt1[i + 1] += cnt1[i]; cnt2[i + 1] += cnt2[i]; cnt3[i + 1] += cnt3[i]; } for (int i = N; i--;) tmp[--cnt0[p[i] & mask]] = p[i]; for (int i = N; i--;) p[--cnt1[tmp[i] >> b & mask]] = tmp[i]; for (int i = N; i--;) tmp[--cnt2[p[i] >> b * 2 & mask]] = p[i]; for (int i = N; i--;) p[--cnt3[tmp[i] >> b * 3 & mask]] = tmp[i]; if constexpr (sizeof(T) == 8) { memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[p[i] >> b * 4 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) tmp[--cnt0[p[i] >> b * 4 & mask]] = p[i]; memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[tmp[i] >> b * 5 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) p[--cnt0[tmp[i] >> b * 5 & mask]] = tmp[i]; memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[p[i] >> b * 6 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) tmp[--cnt0[p[i] >> b * 6 & mask]] = p[i]; memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[tmp[i] >> b * 7 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) p[--cnt0[tmp[i] >> b * 7 & mask]] = tmp[i]; } if constexpr (is_signed<T>::value) { int i = N; while (i and p[i - 1] < 0) i--; rotate(p, p + i, p + N); } } // N 10^7 int : 90 ms // N 10^7 ll : 220 ms template <typename T> void radix_sort(vector<T>& v) { radix_sort(v.size(), v.data()); } // first の順にソート, second は不問 template <typename T, typename U> void radix_sort_compare_first(int N, pair<T, U>* p) { static_assert(sizeof(T) == 4 or sizeof(T) == 8); if (!N) return; if (N <= 64) { stable_sort(p, p + N, [](const pair<T, U>& s, const pair<T, U>& t) { return s.first < t.first; }); return; } static pair<T, U>* tmp = nullptr; static int tmp_size = 0; if (!tmp or tmp_size < N) { if (tmp) delete[] tmp; tmp_size = 1; while (tmp_size < N) tmp_size *= 2; tmp = new pair<T, U>[tmp_size]; } memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[p[i].first & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) tmp[--cnt0[p[i].first & mask]] = p[i]; memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) p[--cnt0[tmp[i].first >> b & mask]] = tmp[i]; memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[p[i].first >> b * 2 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) tmp[--cnt0[p[i].first >> b * 2 & mask]] = p[i]; memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b * 3 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) p[--cnt0[tmp[i].first >> b * 3 & mask]] = tmp[i]; if constexpr (sizeof(T) == 8) { memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[p[i].first >> b * 4 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) tmp[--cnt0[p[i].first >> b * 4 & mask]] = p[i]; memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b * 5 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) p[--cnt0[tmp[i].first >> b * 5 & mask]] = tmp[i]; memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[p[i].first >> b * 6 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) tmp[--cnt0[p[i].first >> b * 6 & mask]] = p[i]; memset(cnt0, 0, sizeof(cnt0)); for (int i = 0; i < N; i++) cnt0[tmp[i].first >> b * 7 & mask]++; for (int i = 0; i < powb - 1; i++) cnt0[i + 1] += cnt0[i]; for (int i = N; i--;) p[--cnt0[tmp[i].first >> b * 7 & mask]] = tmp[i]; } if constexpr (is_signed<T>::value) { int i = N; while (i and p[i - 1].first < 0) i--; rotate(p, p + i, p + N); } } // first の順にソート, second は不問 // N 10^7 int : 130 ms // N 10^7 ll : 370 ms template <typename T, typename U> void radix_sort_compare_first(vector<pair<T, U>>& v) { radix_sort_compare_first(v.size(), v.data()); } } // namespace RadixSortImpl using RadixSortImpl::radix_sort; using RadixSortImpl::radix_sort_compare_first; /* @brief radix sort */ #line 6 "verify/verify-unit-test/radix-sort.test.cpp" // #line 2 "misc/all.hpp" #line 2 "misc/fastio.hpp" #line 8 "misc/fastio.hpp" using namespace std; #line 2 "internal/internal-type-traits.hpp" #line 4 "internal/internal-type-traits.hpp" using namespace std; namespace internal { template <typename T> using is_broadly_integral = typename conditional_t<is_integral_v<T> || is_same_v<T, __int128_t> || is_same_v<T, __uint128_t>, true_type, false_type>::type; template <typename T> using is_broadly_signed = typename conditional_t<is_signed_v<T> || is_same_v<T, __int128_t>, true_type, false_type>::type; template <typename T> using is_broadly_unsigned = typename conditional_t<is_unsigned_v<T> || is_same_v<T, __uint128_t>, true_type, false_type>::type; #define ENABLE_VALUE(x) \ template <typename T> \ constexpr bool x##_v = x<T>::value; ENABLE_VALUE(is_broadly_integral); ENABLE_VALUE(is_broadly_signed); ENABLE_VALUE(is_broadly_unsigned); #undef ENABLE_VALUE #define ENABLE_HAS_TYPE(var) \ template <class, class = void> \ struct has_##var : false_type {}; \ template <class T> \ struct has_##var<T, void_t<typename T::var>> : true_type {}; \ template <class T> \ constexpr auto has_##var##_v = has_##var<T>::value; #define ENABLE_HAS_VAR(var) \ template <class, class = void> \ struct has_##var : false_type {}; \ template <class T> \ struct has_##var<T, void_t<decltype(T::var)>> : true_type {}; \ template <class T> \ constexpr auto has_##var##_v = has_##var<T>::value; } // namespace internal #line 12 "misc/fastio.hpp" namespace fastio { static constexpr int SZ = 1 << 17; static constexpr int offset = 64; char inbuf[SZ], outbuf[SZ]; int in_left = 0, in_right = 0, out_right = 0; struct Pre { char num[40000]; constexpr Pre() : num() { for (int i = 0; i < 10000; i++) { int n = i; for (int j = 3; j >= 0; j--) { num[i * 4 + j] = n % 10 + '0'; n /= 10; } } } } constexpr pre; void load() { int len = in_right - in_left; memmove(inbuf, inbuf + in_left, len); in_right = len + fread(inbuf + len, 1, SZ - len, stdin); in_left = 0; } void flush() { fwrite(outbuf, 1, out_right, stdout); out_right = 0; } void skip_space() { if (in_left + offset > in_right) load(); while (inbuf[in_left] <= ' ') in_left++; } void single_read(char& c) { if (in_left + offset > in_right) load(); skip_space(); c = inbuf[in_left++]; } void single_read(string& S) { skip_space(); while (true) { if (in_left == in_right) load(); int i = in_left; for (; i != in_right; i++) { if (inbuf[i] <= ' ') break; } copy(inbuf + in_left, inbuf + i, back_inserter(S)); in_left = i; if (i != in_right) break; } } template <typename T, enable_if_t<internal::is_broadly_integral_v<T>>* = nullptr> void single_read(T& x) { if (in_left + offset > in_right) load(); skip_space(); char c = inbuf[in_left++]; [[maybe_unused]] bool minus = false; if constexpr (internal::is_broadly_signed_v<T>) { if (c == '-') minus = true, c = inbuf[in_left++]; } x = 0; while (c >= '0') { x = x * 10 + (c & 15); c = inbuf[in_left++]; } if constexpr (internal::is_broadly_signed_v<T>) { if (minus) x = -x; } } void rd() {} template <typename Head, typename... Tail> void rd(Head& head, Tail&... tail) { single_read(head); rd(tail...); } void single_write(const char& c) { if (out_right > SZ - offset) flush(); outbuf[out_right++] = c; } void single_write(const bool& b) { if (out_right > SZ - offset) flush(); outbuf[out_right++] = b ? '1' : '0'; } void single_write(const string& S) { flush(), fwrite(S.data(), 1, S.size(), stdout); } void single_write(const char* p) { flush(), fwrite(p, 1, strlen(p), stdout); } template <typename T, enable_if_t<internal::is_broadly_integral_v<T>>* = nullptr> void single_write(const T& _x) { if (out_right > SZ - offset) flush(); if (_x == 0) { outbuf[out_right++] = '0'; return; } T x = _x; if constexpr (internal::is_broadly_signed_v<T>) { if (x < 0) outbuf[out_right++] = '-', x = -x; } constexpr int buffer_size = sizeof(T) * 10 / 4; char buf[buffer_size]; int i = buffer_size; while (x >= 10000) { i -= 4; memcpy(buf + i, pre.num + (x % 10000) * 4, 4); x /= 10000; } if (x < 100) { if (x < 10) { outbuf[out_right] = '0' + x; ++out_right; } else { uint32_t q = (uint32_t(x) * 205) >> 11; uint32_t r = uint32_t(x) - q * 10; outbuf[out_right] = '0' + q; outbuf[out_right + 1] = '0' + r; out_right += 2; } } else { if (x < 1000) { memcpy(outbuf + out_right, pre.num + (x << 2) + 1, 3); out_right += 3; } else { memcpy(outbuf + out_right, pre.num + (x << 2), 4); out_right += 4; } } memcpy(outbuf + out_right, buf + i, buffer_size - i); out_right += buffer_size - i; } void wt() {} template <typename Head, typename... Tail> void wt(const Head& head, const Tail&... tail) { single_write(head); wt(forward<const Tail>(tail)...); } template <typename... Args> void wtn(const Args&... x) { wt(forward<const Args>(x)...); wt('\n'); } struct Dummy { Dummy() { atexit(flush); } } dummy; } // namespace fastio using fastio::rd; using fastio::skip_space; using fastio::wt; using fastio::wtn; #line 2 "misc/rng.hpp" #line 2 "internal/internal-seed.hpp" #line 4 "internal/internal-seed.hpp" using namespace std; namespace internal { unsigned long long non_deterministic_seed() { unsigned long long m = chrono::duration_cast<chrono::nanoseconds>( chrono::high_resolution_clock::now().time_since_epoch()) .count(); m ^= 9845834732710364265uLL; m ^= m << 24, m ^= m >> 31, m ^= m << 35; return m; } unsigned long long deterministic_seed() { return 88172645463325252UL; } // 64 bit の seed 値を生成 (手元では seed 固定) // 連続で呼び出すと同じ値が何度も返ってくるので注意 // #define RANDOMIZED_SEED するとシードがランダムになる unsigned long long seed() { #if defined(NyaanLocal) && !defined(RANDOMIZED_SEED) return deterministic_seed(); #else return non_deterministic_seed(); #endif } } // namespace internal #line 4 "misc/rng.hpp" namespace my_rand { using i64 = long long; using u64 = unsigned long long; // [0, 2^64 - 1) u64 rng() { static u64 _x = internal::seed(); return _x ^= _x << 7, _x ^= _x >> 9; } // [l, r] i64 rng(i64 l, i64 r) { assert(l <= r); return l + rng() % u64(r - l + 1); } // [l, r) i64 randint(i64 l, i64 r) { assert(l < r); return l + rng() % u64(r - l); } // choose n numbers from [l, r) without overlapping vector<i64> randset(i64 l, i64 r, i64 n) { assert(l <= r && n <= r - l); unordered_set<i64> s; for (i64 i = n; i; --i) { i64 m = randint(l, r + 1 - i); if (s.find(m) != s.end()) m = r - i; s.insert(m); } vector<i64> ret; for (auto& x : s) ret.push_back(x); return ret; } // [0.0, 1.0) double rnd() { return rng() * 5.42101086242752217004e-20; } // [l, r) double rnd(double l, double r) { assert(l < r); return l + rnd() * (r - l); } template <typename T> void randshf(vector<T>& v) { int n = v.size(); for (int i = 1; i < n; i++) swap(v[i], v[randint(0, i + 1)]); } } // namespace my_rand using my_rand::randint; using my_rand::randset; using my_rand::randshf; using my_rand::rnd; using my_rand::rng; #line 2 "misc/timer.hpp" #line 4 "misc/timer.hpp" using namespace std; struct Timer { chrono::high_resolution_clock::time_point st; Timer() { reset(); } void reset() { st = chrono::high_resolution_clock::now(); } long long elapsed() { auto ed = chrono::high_resolution_clock::now(); return chrono::duration_cast<chrono::milliseconds>(ed - st).count(); } long long operator()() { return elapsed(); } }; #line 8 "verify/verify-unit-test/radix-sort.test.cpp" using namespace Nyaan; template <typename T> void test(int N) { ll mx = numeric_limits<T>::max(); if (N <= 300) { mx = pow(2.0, rnd() * log2(numeric_limits<T>::max())); mx = clamp<T>(mx, 1, numeric_limits<T>::max()); } Timer timer; { V<T> v(N); each(x, v) x = rng(-mx, mx); auto w = v; timer.reset(); radix_sort(v); ll t1 = timer.elapsed(); timer.reset(); sort(all(w)); ll t2 = timer.elapsed(); assert(v == w); if (N >= TEN(8)) DebugImpl::trace("N", N, "radix", t1, "std", t2); } if (N <= 300) { V<pair<T, T>> v(N); each(x, v) { x.fi = rng(-mx, mx); x.se = rng(-mx, mx); } auto w = v; radix_sort_compare_first(v); stable_sort(all(w), [](const pair<T, T>& a, const pair<T, T>& b) { return a.first < b.first; }); if (v != w) { trc2(v); trc2(w); } assert(v == w); } } void q() { { vector<int> v{2, 0, 1, -1, -2}; radix_sort(v); vector<int> w{-2, -1, 0, 1, 2}; assert(v == w); } { vector<int> v{2, 0, 2, -1, 1, 2, 0, -1, -2}; radix_sort(v); vector<int> w{-2, -1, -1, 0, 0, 1, 2, 2, 2}; assert(v == w); } { vector<ll> v{2, 0, 2, -1, 1, 2, 0, -1, -2}; radix_sort(v); vector<ll> w{-2, -1, -1, 0, 0, 1, 2, 2, 2}; assert(v == w); } rep(N, 200) rep(t, 200) { test<int>(N); test<uint32_t>(N); test<ll>(N); } rep(e, 6) { test<int>(TEN(e)); test<uint32_t>(TEN(e)); test<ll>(TEN(e)); } cerr << "OK" << endl; /* cerr << "OK" << endl; rep(t, 3) test<int>(TEN(7)); rep(t, 3) test<ll>(TEN(7)); */ int a, b; cin >> a >> b; cout << a + b << endl; } void Nyaan::solve() { int t = 1; // in(t); while (t--) q(); }