結果
| 問題 | No.1901 bitwise xor convolution (characteristic 2) |
| ユーザー |
 NyaanNyaan
|
| 提出日時 | 2022-04-12 21:23:09 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
CE
(最新)
AC
(最初)
|
| 実行時間 | - |
| コード長 | 20,148 bytes |
| コンパイル時間 | 2,260 ms |
| コンパイル使用メモリ | 248,256 KB |
| 最終ジャッジ日時 | 2024-11-08 17:10:58 |
| 合計ジャッジ時間 | 4,845 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge1 |
（要ログイン）
コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。（リジャッジ後のコンパイルエラーは公開されます）
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
コンパイルメッセージ
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/lib/gcc/12/gcc/x86_64-pc-linux-gnu/12/include/immintrin.h:39,
from main.cpp:9:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/lib/gcc/12/gcc/x86_64-pc-linux-gnu/12/include/smmintrin.h: In function 'T operator*(const T&, const T&)':
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/lib/gcc/12/gcc/x86_64-pc-linux-gnu/12/include/smmintrin.h:455:1: error: inlining failed in call to 'always_inline' 'long long int _mm_extract_epi64(__m128i, int)': target specific option mismatch
455 | _mm_extract_epi64 (__m128i __X, const int __N)
| ^~~~~~~~~~~~~~~~~
main.cpp:795:12: note: called from here
In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/lib/gcc/12/gcc/x86_64-pc-linux-gnu/12/include/immintrin.h:41:
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/lib/gcc/12/gcc/x86_64-pc-linux-gnu/12/include/wmmintrin.h:116:1: error: inlining failed in call to 'always_inline' '__m128i _mm_clmulepi64_si128(__m128i, __m128i, int)': target specific option mismatch
116 | _mm_clmulepi64_si128 (__m128i __X, __m128i __Y, const int __I)
| ^~~~~~~~~~~~~~~~~~~~
main.cpp:794:38: note: called from here
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/lib/gcc/12/gcc/x86_64-pc-linux-gnu/12/include/smmintrin.h:455:1: error: inlining failed in call to 'always_inline' 'long long int _mm_extract_epi64(__m128i, int)': target specific option mismatch
455 | _mm_extract_epi64 (__m128i __X, const int __N)
| ^~~~~~~~~~~~~~~~~
main.cpp:795:12: note: called from here
/home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/lib/gcc/12/gcc/x86_64-pc-linux-gnu/12/include/wmmintrin.h:116:1: error: inlining failed in call to 'always_inline' '__m128i _mm_clmulepi64_si128(__m128i, __m128i, int)': target specific option mismatch
116 | _mm_clmulepi64_si128 (__m128i __X, __m128i __Y, const int __I)
| ^~~~~~~~~~~~~~~~~~~~
main.cpp:794:38: note: called from here
ソースコード
/**
* date : 2022-04-12 21:23:02
*/
#define NDEBUG
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
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, 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));
}
#define inV(T, v, n) \
vector<T> v(n); \
in(v)
#define inVV(T, v, h, w) \
vector<vector<T>> v(h, vector<T>(w)); \
in(v);
template <typename T>
using minpq = priority_queue<T, vector<T>, greater<T>>;
// 区間：半開区間 (ng, ok] または [ok, ng)
template <typename T, typename F>
T binary_search(T ng, T ok, const F& f) {
if constexpr (is_integral<T>::value == true) {
while (abs(ok - ng) > 1) {
T x = (ok + ng) / 2;
(f(x) ? ok : ng) = x;
}
return ok;
} else {
for (int iter = 0; iter < 60; iter++) {
T x = (ok + ng) / 2;
(f(x) ? ok : ng) = x;
}
return ok;
}
}
// 解区間 (l, r)
template <typename T, typename F>
void ternary_search(T l, T r, const F& f, bool greater = false) {
if constexpr (is_integral<T>::value == true) {
while (abs(l - r) > 2) {
T llr = (l * 2 + r * 1) / 3;
T lrr = (l * 1 + r * 2) / 3;
bool flag = f(llr) < f(lrr);
if (flag != greater) {
r = lrr;
} else {
l = llr;
}
}
return (l + r) / 2;
} else {
for (int iter = 0; iter < 80; iter++) {
T llr = (l * 2 + r * 1) / 3;
T lrr = (l * 1 + r * 2) / 3;
bool flag = f(llr) < f(lrr);
if (flag != greater) {
r = lrr;
} else {
l = llr;
}
}
return (l + r) / 2;
}
}
} // namespace Nyaan
// bit operation
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
// inout
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...);
}
void outr() {}
template <typename T, class... U, char sep = ' '>
void outr(const T &t, const U &...u) {
cout << t;
outr(u...);
}
struct IoSetupNya {
IoSetupNya() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(15);
cerr << fixed << setprecision(7);
}
} iosetupnya;
} // namespace Nyaan
// debug
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
// macro
#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)
namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }
//
using namespace std;
namespace fastio {
static constexpr int SZ = 1 << 17;
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;
inline 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;
}
inline void flush() {
fwrite(outbuf, 1, out_right, stdout);
out_right = 0;
}
inline void skip_space() {
if (in_left + 32 > in_right) load();
while (inbuf[in_left] <= ' ') in_left++;
}
inline void rd(char& c) {
if (in_left + 32 > in_right) load();
c = inbuf[in_left++];
}
template <typename T>
inline void rd(T& x) {
if (in_left + 32 > in_right) load();
char c;
do c = inbuf[in_left++];
while (c < '-');
[[maybe_unused]] bool minus = false;
if constexpr (is_signed<T>::value == true) {
if (c == '-') minus = true, c = inbuf[in_left++];
}
x = 0;
while (c >= '0') {
x = x * 10 + (c & 15);
c = inbuf[in_left++];
}
if constexpr (is_signed<T>::value == true) {
if (minus) x = -x;
}
}
inline void rd() {}
template <typename Head, typename... Tail>
inline void rd(Head& head, Tail&... tail) {
rd(head);
rd(tail...);
}
inline void wt(char c) {
if (out_right > SZ - 32) flush();
outbuf[out_right++] = c;
}
inline void wt(bool b) {
if (out_right > SZ - 32) flush();
outbuf[out_right++] = b ? '1' : '0';
}
inline void wt(const string &s) {
if (out_right + s.size() > SZ - 32) flush();
memcpy(outbuf + out_right, s.data(), sizeof(char) * s.size());
out_right += s.size();
}
template <typename T>
inline void wt(T x) {
if (out_right > SZ - 32) flush();
if (!x) {
outbuf[out_right++] = '0';
return;
}
if constexpr (is_signed<T>::value == true) {
if (x < 0) outbuf[out_right++] = '-', x = -x;
}
int i = 12;
char buf[16];
while (x >= 10000) {
memcpy(buf + i, pre.num + (x % 10000) * 4, 4);
x /= 10000;
i -= 4;
}
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 + 4, 12 - i);
out_right += 12 - i;
}
inline void wt() {}
template <typename Head, typename... Tail>
inline void wt(Head&& head, Tail&&... tail) {
wt(head);
wt(forward<Tail>(tail)...);
}
template <typename... Args>
inline void wtn(Args&&... x) {
wt(forward<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;
namespace KaratsubaImpl {
template <typename T>
vector<T> naive(const vector<T>& a, const vector<T>& b) {
if (a.empty() and b.empty()) return {};
if (a.size() < b.size()) return naive(b, a);
int s = a.size(), t = b.size();
vector<T> c(s + t - 1);
for (int i = 0; i < s; i++) {
for (int j = 0; j < t; j++) c[i + j] += a[i] * b[j];
}
return c;
}
template <typename T>
void add(vector<T>& a, const vector<T>& b) {
if (a.size() < b.size()) a.resize(b.size());
for (int i = 0; i < (int)b.size(); i++) a[i] += b[i];
}
template <typename T>
void sub(vector<T>& a, const vector<T>& b) {
if (a.size() < b.size()) a.resize(b.size());
for (int i = 0; i < (int)b.size(); i++) a[i] -= b[i];
}
template <typename T>
vector<T> karatsuba(const vector<T>& a, const vector<T>& b) {
if (a.empty() and b.empty()) return {};
if (a.size() < b.size()) return karatsuba(b, a);
if (a.size() < 32) return naive(a, b);
int d = a.size() / 2;
vector<T> al{begin(a), begin(a) + d}, au{begin(a) + d, end(a)};
if ((int)b.size() < d + 10) {
auto cl = karatsuba(al, b);
auto cu = karatsuba(au, b);
vector<T> c(a.size() + b.size() - 1);
for (int i = 0; i < (int)cl.size(); i++) c[i] = cl[i];
for (int i = 0; i < (int)cu.size(); i++) c[i + d] += cu[i];
return c;
}
vector<T> bl{begin(b), begin(b) + d}, bu{begin(b) + d, end(b)};
vector<T> alu{al}, blu{bl};
add(alu, au), add(blu, bu);
auto cll = karatsuba(al, bl);
auto cuu = karatsuba(au, bu);
auto clu = karatsuba(alu, blu);
sub(clu, cll), sub(clu, cuu);
vector<T> c(d);
copy(begin(clu), end(clu), back_inserter(c));
c.resize(a.size() + b.size() - 1);
add(c, cll);
for (int i = 0; i < (int)cuu.size(); i++) c[i + 2 * d] += cuu[i];
c.resize(a.size() + b.size() - 1);
return c;
}
} // namespace KaratsubaImpl
using KaratsubaImpl::karatsuba;
using namespace Nyaan;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("pclmul,avx2")
struct T {
ll x;
T() : x(0) {}
T(ll y) : x(y) {}
friend T operator+(const T& l, const T& r) { return T{l.x ^ r.x}; }
friend T operator-(const T& l, const T& r) { return T{l.x ^ r.x}; }
friend T operator*(const T& l, const T& r) {
__m128i x_ = _mm_set_epi64x(0, l.x);
__m128i y_ = _mm_set_epi64x(0, r.x);
__m128i z_ = _mm_clmulepi64_si128(x_, y_, 0);
return T{_mm_extract_epi64(z_, 0)};
}
T operator+=(const T& r) { return *this = *this + r; }
T operator-=(const T& r) { return *this = *this - r; }
T operator*=(const T& r) { return *this = *this * r; }
};
vector<T> naive(const vector<T>& a, const vector<T>& b) {
if (a.empty() and b.empty()) return {};
if (a.size() < b.size()) return naive(b, a);
int s = a.size(), t = b.size();
assert(s == t);
vector<T> c(s);
for (int i = 0; i < s; i++) {
for (int j = 0; j < t; j++) c[i ^ j] += a[i] * b[j];
}
return c;
}
void add(vector<T>& a, const vector<T>& b) {
if (a.size() < b.size()) a.resize(b.size());
for (int i = 0; i < (int)b.size(); i++) a[i] += b[i];
}
vector<T> karatsuba(const vector<T>& a, const vector<T>& b) {
if (a.size() < 32) return naive(a, b);
int d = a.size() / 2;
vector<T> al{begin(a), begin(a) + d}, au{begin(a) + d, end(a)};
vector<T> bl{begin(b), begin(b) + d}, bu{begin(b) + d, end(b)};
vector<T> alu{al}, blu{bl};
add(alu, au), add(blu, bu);
auto cll = karatsuba(al, bl);
auto cuu = karatsuba(au, bu);
auto clu = karatsuba(alu, blu);
add(clu, cll), add(clu, cuu);
add(cll, cuu);
vector<T> c;
copy(begin(cll), end(cll), back_inserter(c));
copy(begin(clu), end(clu), back_inserter(c));
return c;
}
void Nyaan::solve() {
int N;
rd(N);
V<T> A(1 << N), B(1 << N);
rep(i, 1 << N) rep(j, 32) {
int x;
rd(x);
A[i].x |= ll(x) << j;
}
rep(i, 1 << N) rep(j, 32) {
int x;
rd(x);
B[i].x |= ll(x) << j;
}
auto C = karatsuba(A, B);
rep(i, 1 << N) rep(j, 63) {
int x = gbit(C[i].x, j);
wt(x);
wt(" \n"[j == 62]);
}
}