/*{{{ Includer.IncludeFiles(ctx, {[[C:\Projekty\r e p o\pali\src\main\pali.hpp]]}) ===*/
/*
  {   -- filePaths
    [[C:\Projekty\r e p o\pali\src\main\pali.hpp]],
  },
*/
#ifndef PALI_HPP
#define PALI_HPP

///
///
///
/*{{{ Includer.IncludeFiles(ctx, {[[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\no_sillywarnings_please.h]]}) ===*/
/*
  {   -- filePaths
    [[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\no_sillywarnings_please.h]],
  },
*/
// Based on no_sillywarnings_please, Copyright (c) Alf P. Steinbach, 2010.
// See https://alfps.wordpress.com/the-no_sillywarnings_please-h-file/ .
// Extra warnings added for /Wall.

#ifndef PROGROCK_CPPX_COMPILERSPECIFIC_MSVC_NOSILLYWARNINGSPLEASE_H
#define PROGROCK_CPPX_COMPILERSPECIFIC_MSVC_NOSILLYWARNINGSPLEASE_H

#ifdef _MSC_VER

// The following are real warnings but are generated by almost all MS headers, including
// standard library headers, so it's impractical to leave them on.
#pragma  warning( disable: 4619 )   // there is no warning number 'XXXX'
#pragma  warning( disable: 4668 )   // XXX is not defined as a preprocessor macro

// The following are pure sillywarnings:
#pragma warning( disable: 4061 )    // enum value is not *explicitly* handled in switch
#pragma warning( disable: 4099 )    // first seen using 'struct' now seen using 'class'
#pragma warning( disable: 4127 )    // conditional expression is constant
#pragma warning( disable: 4217 )    // member template isn't copy constructor
#pragma warning( disable: 4250 )    // inherits (implements) some member via dominance
#pragma warning( disable: 4251 )    // needs to have dll-interface to be used by clients
#pragma warning( disable: 4275 )    // exported class derived from non-exported class
#pragma warning( disable: 4347 )    // "behavior change", function called instead of template
#pragma warning( disable: 4355 )    // "'this': used in member initializer list
#pragma warning( disable: 4428 )    // MSVC 9: universal-character-name encountered in source
#pragma warning( disable: 4505 )    // unreferenced function has been removed
#pragma warning( disable: 4510 )    // default constructor could not be generated
#pragma warning( disable: 4511 )    // copy constructor could not be generated
#pragma warning( disable: 4512 )    // assignment operator could not be generated
#pragma warning( disable: 4513 )    // destructor could not be generated
#pragma warning( disable: 4610 )    // can never be instantiated user defined constructor required
#pragma warning( disable: 4623 )    // default constructor could not be generated
#pragma warning( disable: 4624 )    // destructor could not be generated
#pragma warning( disable: 4625 )    // copy constructor could not be generated
#pragma warning( disable: 4626 )    // assignment operator could not be generated
#pragma warning( disable: 4640 )    // a local static object is not thread-safe
#pragma warning( disable: 4661 )    // a member of the template class is not defined.
#pragma warning( disable: 4670 )    // a base class of an exception class is inaccessible for catch
#pragma warning( disable: 4672 )    // a base class of an exception class is ambiguous for catch
#pragma warning( disable: 4673 )    // a base class of an exception class is inaccessible for catch
#pragma warning( disable: 4675 )    // resolved overload was found by argument-dependent lookup
#pragma warning( disable: 4702 )    // unreachable code, e.g. in <list> header.
#pragma warning( disable: 4710 )    // call was not inlined
#pragma warning( disable: 4711 )    // call was inlined
#pragma warning( disable: 4820 )    // some padding was added
#pragma warning( disable: 4917 )    // a GUID can only be associated with a class, interface or namespace
#pragma warning( disable: 4996 )    // MSVC 9: a C std library function has been "deprecated" (says MS)

// Extra for /Wall:
#pragma warning( disable: 4350 )    // behavior change: 'member1' called instead of 'member2'
#pragma warning( disable: 4351 )    // new behavior: elements of array 'array' will be default initialized
#pragma warning( disable: 4464 )    // relative include path contains '..'
#pragma warning( disable: 4514 )    // 'function' : unreferenced inline function has been removed
#pragma warning( disable: 4718 )    // 'function call' : recursive call has no side effects, deleting
#pragma warning( disable: 5045 )    // Compiler will insert Spectre mitigation for memory load if /Qspectre switch specified

#endif   // _MSC_VER

#endif   // PROGROCK_CPPX_COMPILERSPECIFIC_MSVC_NOSILLYWARNINGSPLEASE_H

/*}}}*/



///
///
///
/*{{{ Includer.IncludeFiles(ctx, {[[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\disable_warnings.h]]}) ===*/
/*
  {   -- filePaths
    [[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\disable_warnings.h]],
  },
*/
#ifdef _MSC_VER
#   pragma warning( push )
#   pragma warning( disable: 4100 )
#   pragma warning( disable: 4189 )     // 'identifier' : local variable is initialized but not referenced
#   pragma warning( disable: 4191 )
#   pragma warning( disable: 4242 )
#   pragma warning( disable: 4244 )
#   pragma warning( disable: 4267 )
#   pragma warning( disable: 4350 )
#   pragma warning( disable: 4365 )
#   pragma warning( disable: 4371 )
#   pragma warning( disable: 4548 )
#   pragma warning( disable: 4643 )
#   pragma warning( disable: 4647 )
#   pragma warning( disable: 4738 )
#   pragma warning( disable: 4774 )     // '<function>' : format string expected in argument <position> is not a string literal
#   pragma warning( disable: 4820 )
#   pragma warning( disable: 4987 )
#   pragma warning( disable: 5026 )
#   pragma warning( disable: 5027 )
#   pragma warning( disable: 5031 )     // #pragma warning(pop): likely mismatch, popping warning state pushed in different file
#endif

#ifdef __GNUC__
#   pragma GCC diagnostic push
#   pragma GCC diagnostic ignored "-Wpedantic"
#   pragma GCC diagnostic ignored "-Weffc++"
#   pragma GCC diagnostic ignored "-Wconversion"
#   pragma GCC diagnostic ignored "-Wsign-conversion"
#   pragma GCC diagnostic ignored "-Wshadow"
#   pragma GCC diagnostic ignored "-Wstrict-aliasing"
#endif

/*}}}*/

#ifdef UNDEF_NDEBUG
#undef NDEBUG
#endif

#include <cstddef>
#include <cassert>
#include <algorithm>
#include <vector>
#include <set>
#include <memory>
#include <limits>
#include <iostream>

/*{{{ Includer.IncludeFiles(ctx, {[[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\reenable_warnings.h]]}) ===*/
/*
  {   -- filePaths
    [[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\reenable_warnings.h]],
  },
*/
#ifdef _MSC_VER
#   pragma warning( pop )
#endif

#ifdef __GNUC__
#   pragma GCC diagnostic pop
#endif

/*}}}*/



///
///
///
void noop(...) { }

///
///
///
#define ARRAY_SIZE(a) (sizeof(a) / sizeof((a)[0]))

///
///
///
#define NON_COPYABLE(C) \
    C(const C&) = delete; \
    C& operator=(const C&) = delete;

///
///
///
#define NON_MOVABLE(C) \
    C(C&&) = delete; \
    C& operator=(C&&) = delete;

///
///
///
#define NON_DESTRUCTIBLE(C) \
    ~C() = delete;

///
///
///
template<typename T>
void debug_echo(T x, const char* name, const char* delim, int line)
{
    std::cout
        << "DEBUG_ECHO   " << name << ": "
        << delim << x << delim
        << "   (line " << line << ")"
        << '\n';
}

///
///
///
#define DEBUG_ECHO(x) do { debug_echo(x, #x, "", __LINE__); } while (0)

///
///
///
#define DEBUG_ECHO_DELIM(x, delim) do { debug_echo(x, #x, delim, __LINE__); } while (0)



namespace pali {

///
///
///
typedef size_t umsize_t;
typedef ptrdiff_t msize_t;
typedef size_t umindex_t;
typedef ptrdiff_t mindex_t;
typedef ptrdiff_t munidiff_t;

const mindex_t Null_Index = -1;

const int Uninitialized_Positively = 7777777;
const int Uninitialized_Negatively = -Uninitialized_Positively;

}



///
///
///
#ifdef OVERRIDE_NEW_DELETE

namespace pali { namespace new_alloc {
    msize_t _allocated;
    msize_t _times;

    msize_t get_allocated()
    {
        return _allocated;
    }

    msize_t get_times()
    {
        return _times;
    }

    void clear_counters()
    {
        _allocated = 0;
        _times = 0;
    }
}}

void* operator new(size_t size)
{
    pali::new_alloc::_allocated += static_cast<pali::msize_t>(size);
    ++pali::new_alloc::_times;
    return malloc(size);
}

void* operator new[](size_t size)
{
    pali::new_alloc::_allocated += static_cast<pali::msize_t>(size);
    ++pali::new_alloc::_times;
    return malloc(size);
}

void operator delete(void* ptr) noexcept
{
    free(ptr);
}

void operator delete[](void* ptr) noexcept
{
    free(ptr);
}

#endif   // OVERRIDE_NEW_DELETE



namespace pali {

namespace alloc {

///
///
///
class Pool
{
public:
    Pool(msize_t size)
        : _size(size)
        , _pool(new char[static_cast<umsize_t>(_size)])
        , _allocated(0)
        , _times(0)
    { }

    ~Pool()
    {
        delete[] _pool;
    }

    template<typename T>
    void* allocate(msize_t cnt)
    {
        if (cnt != 1) {
            noop();
        }
        auto size = cnt * static_cast<msize_t>(sizeof(T));
        if (_allocated + size > _size) {
            throw std::bad_alloc();
        }
        auto result = _pool + _allocated;
        _allocated += size;
        ++_times;
        return result;
    }

    void deallocate(void* /*ptr*/)
    {
    }

    msize_t get_allocated() const
    {
        return _allocated;
    }

    msize_t get_times() const
    {
        return _times;
    }

private:
    Pool(const Pool&);
    Pool& operator=(const Pool&);

    msize_t const _size;
    char* const _pool;
    msize_t _allocated;
    msize_t _times;
};



///
///
///
template<typename T>
class CustomAllocator
{
public:
    typedef T value_type;
    typedef value_type* pointer;
    typedef const value_type* const_pointer;
    typedef value_type& reference;
    typedef const value_type& const_reference;

    template<typename U>
    struct rebind { typedef CustomAllocator<U> other; };

    CustomAllocator(Pool& pool)
        : _pool(pool)
    { }

    CustomAllocator(const CustomAllocator& other)
        : _pool(other._pool)
    { }

    template<typename U>
    CustomAllocator(const CustomAllocator<U>& other)
        : _pool(other._pool)
    { }

    value_type* allocate(size_t cnt)
    {
        //return static_cast<value_type*>(::operator new(cnt * sizeof(value_type)));

        return static_cast<value_type*>(_pool.allocate<value_type>(static_cast<msize_t>(cnt)));
    }

    void deallocate(value_type* ptr, size_t)
    {
        //::operator delete(ptr);

        _pool.deallocate(ptr);
    }

    void construct(value_type* ptr, const value_type& t) const { new(ptr) value_type(t); }
    void destroy(value_type* ptr) const { /* MSVC C4100 workaround */noop(ptr); ptr->~value_type(); }

    Pool& _pool;
};

template<typename T, typename U>
bool operator==(CustomAllocator<T> const&, CustomAllocator<U> const&)
{
    return true;
}

template<typename T, typename U>
bool operator!=(CustomAllocator<T> const& x, CustomAllocator<U> const& y)
{
    return !(x == y);
}

}   // namespace alloc



namespace math {

///
///
///
int inverse(int x, int mod)
{
    int t = 0; int newt = 1;
    int r = mod; int newr = x;
    while (newr != 0) {
        int quotient = r / newr;
        int tmp;

        tmp = t;
        t = newt;
        newt = tmp - quotient * newt;

        tmp = r;
        r = newr;
        newr = tmp - quotient * newr;
    }
    assert(r == 1);
    if (t < 0) {
        t += mod;
    }
    return t;
}

}   // namespace math



namespace hash {

///
///
///
struct RabinKarpHasher
{
    RabinKarpHasher(msize_t size_max)
        : Base_To_Size(nullptr)
        , Inverse_Base_To_Size(nullptr)
    {
        Base_To_Size = new int[static_cast<umsize_t>(size_max + 1)];
        Inverse_Base_To_Size = new int[static_cast<umsize_t>(size_max + 1)];

        long long value = 1;
        Base_To_Size[0] = static_cast<int>(value);
        Inverse_Base_To_Size[0] = pali::math::inverse(static_cast<int>(value), Mod);
        for (mindex_t i=1; i <= size_max; ++i) {
            value *= Base;
            value %= Mod;
            Base_To_Size[i] = static_cast<int>(value);
            Inverse_Base_To_Size[i] = pali::math::inverse(static_cast<int>(value), Mod);
        }
    }

    ~RabinKarpHasher()
    {
        delete[] Base_To_Size;
        delete[] Inverse_Base_To_Size;
    }

    int hash(const std::vector<int>& tab, mindex_t from, msize_t size)
    {
        long long result = 0;
        for (mindex_t i=from; i <= from + size - 1; ++i) {
            result *= Base;
            result %= Mod;
            result += hv(tab[static_cast<umindex_t>(i)]);
            result %= Mod;
        }
        return static_cast<int>(result);
    }

    int hash(const int* tab, mindex_t from, msize_t size)
    {
        long long result = 0;
        for (mindex_t i=from; i <= from + size - 1; ++i) {
            result *= Base;
            result %= Mod;
            result += hv(tab[i]);
            result %= Mod;
        }
        return static_cast<int>(result);
    }

    int hash_next(const std::vector<int>& tab, int prev, mindex_t to)
    {
        long long result = prev;
        result *= Base;
        result %= Mod;
        result += hv(tab[static_cast<umindex_t>(to)]);
        result %= Mod;
        return static_cast<int>(result);
    }

    int hash_next(const int* tab, int prev, mindex_t to)
    {
        long long result = prev;
        result *= Base;
        result %= Mod;
        result += hv(tab[to]);
        result %= Mod;
        return static_cast<int>(result);
    }

    int hash_roll(const std::vector<int>& tab, int prev, mindex_t to, msize_t size)
    {
        long long result = prev;
        result *= Base;
        result %= Mod;
        result += hv(tab[static_cast<umindex_t>(to)]);
        result %= Mod;
        long long val = Base_To_Size[size] * hv(tab[static_cast<umindex_t>(to - size)]);
        val %= Mod;
        result += Mod - val;
        result %= Mod;
        return static_cast<int>(result);
    }

    int hash_roll(const int* tab, int prev, mindex_t to, msize_t size)
    {
        long long result = prev;
        result *= Base;
        result %= Mod;
        result += hv(tab[to]);
        result %= Mod;
        long long val = Base_To_Size[size] * hv(tab[to - size]);
        val %= Mod;
        result += Mod - val;
        result %= Mod;
        return static_cast<int>(result);
    }

    int sub_hash(int a, int b, int pos_diff)
    {
        long long result = a;
        result += Mod;
        result -= b;
        result *= Inverse_Base_To_Size[pos_diff];
        result %= Mod;
        return static_cast<int>(result);
    }

private:
    RabinKarpHasher(const RabinKarpHasher&);
    RabinKarpHasher& operator=(const RabinKarpHasher&);

    static const int Base = 131071;
    static const int Mod = 524287;
    int* Base_To_Size;
    int* Inverse_Base_To_Size;

    int hv(int x)
    {
        return x;
    }
};

}   // namespace hash

}   // namespace pali

#endif   // PALI_HPP

/*}}}*/



using pali::Uninitialized_Negatively;



const int N_max = 10000;
const int Mod = 1000000007;


int combi[N_max + 1][N_max + 1];

void calc_combi(int N)
{
    for (int n = 0; n <= N; n++) {
        for (int k = 0; k <= n; k++) {
            combi[n][k] =
                (k == 0 || k == n) ? 1
                : (combi[n - 1][k - 1] + combi[n - 1][k]) % Mod;
        }
    }
}


std::vector<int> calc_hip(int bits, int rad, int sro)
{
    std::vector<int> result;
    for (int r = 0; r <= rad; ++r) {
        std::string bitmask(static_cast<size_t>(bits - r), 0);
        bitmask.resize(static_cast<size_t>(bits), 1);
        do {
            int point = sro;
            int mask = 1;
            for (int i = 0; i < bits; ++i) {
                if (bitmask[static_cast<size_t>(i)] == 1) {
                    point ^= mask;
                }
                mask <<= 1;
            }
            result.push_back(point);
        } while (std::next_permutation(bitmask.begin(), bitmask.end()));
    }
    std::sort(result.begin(), result.end());
    return result;
}

int count_common_brute(int bits, int rad1, int rad2, int diff_bits)
{
    int sro1 = 0;
    auto hip1 = calc_hip(bits, rad1, sro1);

    int sro2 = 0;
    int mask = 1;
    for (int i = 0; i < diff_bits; ++i) {
        sro2 |= mask;
        mask <<= 1;
    }
    auto hip2 = calc_hip(bits, rad2, sro2);

    std::vector<int> intersection;
    std::set_intersection(hip1.begin(), hip1.end(), hip2.begin(), hip2.end(), std::back_inserter(intersection));
    return static_cast<int>(intersection.size());
}

int count_common(int bits, int rad1, int rad2, int diff_bits)
{
    int result = 0;
    for (int r1 = 0; r1 <= rad1; ++r1) {
        for (int r2 = 0; r2 <= rad2; ++r2) {
            for (int d1 = 0; d1 <= diff_bits; ++d1) {
                int d2 = diff_bits - d1;
                int s1 = r1 - d1; if (s1 < 0) { continue; }
                int s2 = r2 - d2; if (s2 != s1) { continue; }
                auto a = static_cast<long long>(combi[diff_bits][d1]) * combi[bits - diff_bits][s1] % Mod;
                result += static_cast<int>(a);
                result %= Mod;
            }
        }
    }
    return result;
}

int count_common_3(int bits, int rad1, int rad2, int rad3, int dss, int sds, int ssd)
{
    int result = 0;
    int sss = bits - dss - sds - ssd;
    for (int r1 = 0; r1 <= rad1; ++r1) {
        for (int r2 = 0; r2 <= rad2; ++r2) {
            for (int r3 = 0; r3 <= rad3; ++r3) {
                for (int dss1 = 0; dss1 <= dss; ++dss1) {
                    int r1a = dss1; if (r1a > r1) { continue; }
                    int dss2 = dss - dss1;
                    int r2a = dss2; if (r2a > r2) { continue; }
                    int dss3 = dss - dss1;
                    int r3a = dss3; if (r3a > r3) { continue; }
                    for (int sds2 = 0; sds2 <= sds; ++sds2) {
                        int r2b = r2a + sds2; if (r2b > r2) { continue; }
                        int sds1 = sds - sds2;
                        int r1b = r1a + sds1; if (r1b > r1) { continue; }
                        int sds3 = sds - sds2;
                        int r3b = r3a + sds3; if (r3b > r3) { continue; }
                        for (int ssd3 = 0; ssd3 <= ssd; ++ssd3) {
                            int r3c = r3b + ssd3; if (r3c > r3) { continue; }
                            int ssd1 = ssd - ssd3;
                            int r1c = r1b + ssd1; if (r1c > r1) { continue; }
                            int ssd2 = ssd - ssd3;
                            int r2c = r2b + ssd2; if (r2c > r2) { continue; }

                            int s1 = r1 - r1c;
                            int s2 = r2 - r2c;
                            int s3 = r3 - r3c;
                            if (s1 != s2 || s1 != s3) { continue; }

                            auto a = static_cast<long long>(combi[dss][dss1]) * combi[sds][sds2] % Mod;
                            auto b = static_cast<long long>(combi[ssd][ssd3]) * combi[sss][s1] % Mod;
                            auto c = a * b % Mod;
                            result += static_cast<int>(c);
                            result %= Mod;
                        }
                    }
                }
            }
        }
    }
    return result;
}

struct Kul
{
    int r;
    char c[N_max + 1];
};

Kul kuls[3];
int kuls_c_diff[3][3];
int kk[2];

#ifdef NDEBUG

#define test_count_common(n) ((void)0)

#else

void test_count_common(int n)
{
    for (int bits = 1; bits <= n; ++bits) {
        for (int rad1 = 0; rad1 <= bits; ++rad1) {
            for (int rad2 = 0; rad2 <= bits; ++rad2) {
                for (int diff_bits = 0; diff_bits <= bits; ++diff_bits) {
                    assert(count_common_brute(bits, rad1, rad2, diff_bits) == count_common(bits, rad1, rad2, diff_bits));
                }
            }
        }
    }
}

#endif

int main()
{
    std::ios_base::sync_with_stdio(false);

    int N; scanf("%d", &N);
    for (int i = 0; i < 3; ++i) {
        scanf("%d %s", &kuls[i].r, kuls[i].c);
    }

    calc_combi(N);

    //test_count_common(std::min(N, 10));

    for (int i = 0; i < 3; ++i) {
        const auto& kuli = kuls[i];
        for (int j = 0; j < 3; ++j) {
            const auto& kulj = kuls[j];
            int diff = 0;
            for (int k = 0; k < N; ++k) {
                if (kuli.c[k] != kulj.c[k]) {
                    ++diff;
                }
            }
            kuls_c_diff[i][j] = kuls_c_diff[j][i] = diff;
        }
    }

    int dss = 0;
    int sds = 0;
    int ssd = 0;
    for (int b = 0; b < N; ++b) {
        int b1 = kuls[0].c[b];
        int b2 = kuls[1].c[b];
        int b3 = kuls[2].c[b];

        if ((b1 == '0' && b2 == '1' && b3 == '1')
            || (b1 == '1' && b2 == '0' && b3 == '0')) {
            ++dss;
        } else if ((b1 == '1' && b2 == '0' && b3 == '1')
                   || (b1 == '0' && b2 == '1' && b3 == '0')) {
            ++sds;
        } else if ((b1 == '1' && b2 == '1' && b3 == '0')
                   || (b1 == '0' && b2 == '0' && b3 == '1')) {
            ++ssd;
        }
    }

    assert(kuls_c_diff[0][1] == kuls_c_diff[1][0] && kuls_c_diff[0][1] == dss + sds);
    assert(kuls_c_diff[0][2] == kuls_c_diff[2][0] && kuls_c_diff[0][2] == dss + ssd);
    assert(kuls_c_diff[1][2] == kuls_c_diff[2][1] && kuls_c_diff[1][2] == sds + ssd);

    kk[0] = Uninitialized_Negatively;
    if (kuls[0].r == kuls[1].r && kuls_c_diff[0][1] == 0) {
        kk[0] = 0;
        kk[1] = 2;
    } else if ((kuls[0].r == kuls[2].r && kuls_c_diff[0][2] == 0)
               || (kuls[1].r == kuls[2].r && kuls_c_diff[1][2] == 0)) {
        kk[0] = 0;
        kk[1] = 1;
    }
    int result = 0;
    if (kk[0] != Uninitialized_Negatively) {
        for (int i = 0; i < 2; ++i) {
            for (int r = 0; r <= kuls[kk[i]].r; ++r) {
                result += combi[N][r];
                result %= Mod;
            }
        }
        result += Mod - count_common(N, kuls[kk[0]].r, kuls[kk[1]].r, kuls_c_diff[kk[0]][kk[1]]);
        result %= Mod;
    } else {
        for (int i = 0; i < 3; ++i) {
            for (int r = 0; r <= kuls[i].r; ++r) {
                result += combi[N][r];
                result %= Mod;
            }
            for (int j = i + 1; j < 3; ++j) {
                result += Mod - count_common(N, kuls[i].r, kuls[j].r, kuls_c_diff[i][j]);
                result %= Mod;
            }
        }
        result += count_common_3(N, kuls[0].r, kuls[1].r, kuls[2].r, dss, sds, ssd);
        result %= Mod;
    }
    printf("%d\n", result);
}

  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827

/*{{{ Includer.IncludeFiles(ctx, {[[C:\Projekty\r e p o\pali\src\main\pali.hpp]]}) ===*/
/*
  {   -- filePaths
    [[C:\Projekty\r e p o\pali\src\main\pali.hpp]],
  },
*/
#ifndef PALI_HPP
#define PALI_HPP

///
///
///
/*{{{ Includer.IncludeFiles(ctx, {[[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\no_sillywarnings_please.h]]}) ===*/
/*
  {   -- filePaths
    [[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\no_sillywarnings_please.h]],
  },
*/
// Based on no_sillywarnings_please, Copyright (c) Alf P. Steinbach, 2010.
// See https://alfps.wordpress.com/the-no_sillywarnings_please-h-file/ .
// Extra warnings added for /Wall.

#ifndef PROGROCK_CPPX_COMPILERSPECIFIC_MSVC_NOSILLYWARNINGSPLEASE_H
#define PROGROCK_CPPX_COMPILERSPECIFIC_MSVC_NOSILLYWARNINGSPLEASE_H

#ifdef _MSC_VER

// The following are real warnings but are generated by almost all MS headers, including
// standard library headers, so it's impractical to leave them on.
#pragma  warning( disable: 4619 )   // there is no warning number 'XXXX'
#pragma  warning( disable: 4668 )   // XXX is not defined as a preprocessor macro

// The following are pure sillywarnings:
#pragma warning( disable: 4061 )    // enum value is not *explicitly* handled in switch
#pragma warning( disable: 4099 )    // first seen using 'struct' now seen using 'class'
#pragma warning( disable: 4127 )    // conditional expression is constant
#pragma warning( disable: 4217 )    // member template isn't copy constructor
#pragma warning( disable: 4250 )    // inherits (implements) some member via dominance
#pragma warning( disable: 4251 )    // needs to have dll-interface to be used by clients
#pragma warning( disable: 4275 )    // exported class derived from non-exported class
#pragma warning( disable: 4347 )    // "behavior change", function called instead of template
#pragma warning( disable: 4355 )    // "'this': used in member initializer list
#pragma warning( disable: 4428 )    // MSVC 9: universal-character-name encountered in source
#pragma warning( disable: 4505 )    // unreferenced function has been removed
#pragma warning( disable: 4510 )    // default constructor could not be generated
#pragma warning( disable: 4511 )    // copy constructor could not be generated
#pragma warning( disable: 4512 )    // assignment operator could not be generated
#pragma warning( disable: 4513 )    // destructor could not be generated
#pragma warning( disable: 4610 )    // can never be instantiated user defined constructor required
#pragma warning( disable: 4623 )    // default constructor could not be generated
#pragma warning( disable: 4624 )    // destructor could not be generated
#pragma warning( disable: 4625 )    // copy constructor could not be generated
#pragma warning( disable: 4626 )    // assignment operator could not be generated
#pragma warning( disable: 4640 )    // a local static object is not thread-safe
#pragma warning( disable: 4661 )    // a member of the template class is not defined.
#pragma warning( disable: 4670 )    // a base class of an exception class is inaccessible for catch
#pragma warning( disable: 4672 )    // a base class of an exception class is ambiguous for catch
#pragma warning( disable: 4673 )    // a base class of an exception class is inaccessible for catch
#pragma warning( disable: 4675 )    // resolved overload was found by argument-dependent lookup
#pragma warning( disable: 4702 )    // unreachable code, e.g. in <list> header.
#pragma warning( disable: 4710 )    // call was not inlined
#pragma warning( disable: 4711 )    // call was inlined
#pragma warning( disable: 4820 )    // some padding was added
#pragma warning( disable: 4917 )    // a GUID can only be associated with a class, interface or namespace
#pragma warning( disable: 4996 )    // MSVC 9: a C std library function has been "deprecated" (says MS)

// Extra for /Wall:
#pragma warning( disable: 4350 )    // behavior change: 'member1' called instead of 'member2'
#pragma warning( disable: 4351 )    // new behavior: elements of array 'array' will be default initialized
#pragma warning( disable: 4464 )    // relative include path contains '..'
#pragma warning( disable: 4514 )    // 'function' : unreferenced inline function has been removed
#pragma warning( disable: 4718 )    // 'function call' : recursive call has no side effects, deleting
#pragma warning( disable: 5045 )    // Compiler will insert Spectre mitigation for memory load if /Qspectre switch specified

#endif   // _MSC_VER

#endif   // PROGROCK_CPPX_COMPILERSPECIFIC_MSVC_NOSILLYWARNINGSPLEASE_H

/*}}}*/



///
///
///
/*{{{ Includer.IncludeFiles(ctx, {[[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\disable_warnings.h]]}) ===*/
/*
  {   -- filePaths
    [[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\disable_warnings.h]],
  },
*/
#ifdef _MSC_VER
#   pragma warning( push )
#   pragma warning( disable: 4100 )
#   pragma warning( disable: 4189 )     // 'identifier' : local variable is initialized but not referenced
#   pragma warning( disable: 4191 )
#   pragma warning( disable: 4242 )
#   pragma warning( disable: 4244 )
#   pragma warning( disable: 4267 )
#   pragma warning( disable: 4350 )
#   pragma warning( disable: 4365 )
#   pragma warning( disable: 4371 )
#   pragma warning( disable: 4548 )
#   pragma warning( disable: 4643 )
#   pragma warning( disable: 4647 )
#   pragma warning( disable: 4738 )
#   pragma warning( disable: 4774 )     // '<function>' : format string expected in argument <position> is not a string literal
#   pragma warning( disable: 4820 )
#   pragma warning( disable: 4987 )
#   pragma warning( disable: 5026 )
#   pragma warning( disable: 5027 )
#   pragma warning( disable: 5031 )     // #pragma warning(pop): likely mismatch, popping warning state pushed in different file
#endif

#ifdef __GNUC__
#   pragma GCC diagnostic push
#   pragma GCC diagnostic ignored "-Wpedantic"
#   pragma GCC diagnostic ignored "-Weffc++"
#   pragma GCC diagnostic ignored "-Wconversion"
#   pragma GCC diagnostic ignored "-Wsign-conversion"
#   pragma GCC diagnostic ignored "-Wshadow"
#   pragma GCC diagnostic ignored "-Wstrict-aliasing"
#endif

/*}}}*/

#ifdef UNDEF_NDEBUG
#undef NDEBUG
#endif

#include <cstddef>
#include <cassert>
#include <algorithm>
#include <vector>
#include <set>
#include <memory>
#include <limits>
#include <iostream>

/*{{{ Includer.IncludeFiles(ctx, {[[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\reenable_warnings.h]]}) ===*/
/*
  {   -- filePaths
    [[C:\Projekty\r e p o\CommonLibrary_cpp\src\main\reenable_warnings.h]],
  },
*/
#ifdef _MSC_VER
#   pragma warning( pop )
#endif

#ifdef __GNUC__
#   pragma GCC diagnostic pop
#endif

/*}}}*/



///
///
///
void noop(...) { }

///
///
///
#define ARRAY_SIZE(a) (sizeof(a) / sizeof((a)[0]))

///
///
///
#define NON_COPYABLE(C) \
    C(const C&) = delete; \
    C& operator=(const C&) = delete;

///
///
///
#define NON_MOVABLE(C) \
    C(C&&) = delete; \
    C& operator=(C&&) = delete;

///
///
///
#define NON_DESTRUCTIBLE(C) \
    ~C() = delete;

///
///
///
template<typename T>
void debug_echo(T x, const char* name, const char* delim, int line)
{
    std::cout
        << "DEBUG_ECHO   " << name << ": "
        << delim << x << delim
        << "   (line " << line << ")"
        << '\n';
}

///
///
///
#define DEBUG_ECHO(x) do { debug_echo(x, #x, "", __LINE__); } while (0)

///
///
///
#define DEBUG_ECHO_DELIM(x, delim) do { debug_echo(x, #x, delim, __LINE__); } while (0)



namespace pali {

///
///
///
typedef size_t umsize_t;
typedef ptrdiff_t msize_t;
typedef size_t umindex_t;
typedef ptrdiff_t mindex_t;
typedef ptrdiff_t munidiff_t;

const mindex_t Null_Index = -1;

const int Uninitialized_Positively = 7777777;
const int Uninitialized_Negatively = -Uninitialized_Positively;

}



///
///
///
#ifdef OVERRIDE_NEW_DELETE

namespace pali { namespace new_alloc {
    msize_t _allocated;
    msize_t _times;

    msize_t get_allocated()
    {
        return _allocated;
    }

    msize_t get_times()
    {
        return _times;
    }

    void clear_counters()
    {
        _allocated = 0;
        _times = 0;
    }
}}

void* operator new(size_t size)
{
    pali::new_alloc::_allocated += static_cast<pali::msize_t>(size);
    ++pali::new_alloc::_times;
    return malloc(size);
}

void* operator new[](size_t size)
{
    pali::new_alloc::_allocated += static_cast<pali::msize_t>(size);
    ++pali::new_alloc::_times;
    return malloc(size);
}

void operator delete(void* ptr) noexcept
{
    free(ptr);
}

void operator delete[](void* ptr) noexcept
{
    free(ptr);
}

#endif   // OVERRIDE_NEW_DELETE



namespace pali {

namespace alloc {

///
///
///
class Pool
{
public:
    Pool(msize_t size)
        : _size(size)
        , _pool(new char[static_cast<umsize_t>(_size)])
        , _allocated(0)
        , _times(0)
    { }

    ~Pool()
    {
        delete[] _pool;
    }

    template<typename T>
    void* allocate(msize_t cnt)
    {
        if (cnt != 1) {
            noop();
        }
        auto size = cnt * static_cast<msize_t>(sizeof(T));
        if (_allocated + size > _size) {
            throw std::bad_alloc();
        }
        auto result = _pool + _allocated;
        _allocated += size;
        ++_times;
        return result;
    }

    void deallocate(void* /*ptr*/)
    {
    }

    msize_t get_allocated() const
    {
        return _allocated;
    }

    msize_t get_times() const
    {
        return _times;
    }

private:
    Pool(const Pool&);
    Pool& operator=(const Pool&);

    msize_t const _size;
    char* const _pool;
    msize_t _allocated;
    msize_t _times;
};



///
///
///
template<typename T>
class CustomAllocator
{
public:
    typedef T value_type;
    typedef value_type* pointer;
    typedef const value_type* const_pointer;
    typedef value_type& reference;
    typedef const value_type& const_reference;

    template<typename U>
    struct rebind { typedef CustomAllocator<U> other; };

    CustomAllocator(Pool& pool)
        : _pool(pool)
    { }

    CustomAllocator(const CustomAllocator& other)
        : _pool(other._pool)
    { }

    template<typename U>
    CustomAllocator(const CustomAllocator<U>& other)
        : _pool(other._pool)
    { }

    value_type* allocate(size_t cnt)
    {
        //return static_cast<value_type*>(::operator new(cnt * sizeof(value_type)));

        return static_cast<value_type*>(_pool.allocate<value_type>(static_cast<msize_t>(cnt)));
    }

    void deallocate(value_type* ptr, size_t)
    {
        //::operator delete(ptr);

        _pool.deallocate(ptr);
    }

    void construct(value_type* ptr, const value_type& t) const { new(ptr) value_type(t); }
    void destroy(value_type* ptr) const { /* MSVC C4100 workaround */noop(ptr); ptr->~value_type(); }

    Pool& _pool;
};

template<typename T, typename U>
bool operator==(CustomAllocator<T> const&, CustomAllocator<U> const&)
{
    return true;
}

template<typename T, typename U>
bool operator!=(CustomAllocator<T> const& x, CustomAllocator<U> const& y)
{
    return !(x == y);
}

}   // namespace alloc



namespace math {

///
///
///
int inverse(int x, int mod)
{
    int t = 0; int newt = 1;
    int r = mod; int newr = x;
    while (newr != 0) {
        int quotient = r / newr;
        int tmp;

        tmp = t;
        t = newt;
        newt = tmp - quotient * newt;

        tmp = r;
        r = newr;
        newr = tmp - quotient * newr;
    }
    assert(r == 1);
    if (t < 0) {
        t += mod;
    }
    return t;
}

}   // namespace math



namespace hash {

///
///
///
struct RabinKarpHasher
{
    RabinKarpHasher(msize_t size_max)
        : Base_To_Size(nullptr)
        , Inverse_Base_To_Size(nullptr)
    {
        Base_To_Size = new int[static_cast<umsize_t>(size_max + 1)];
        Inverse_Base_To_Size = new int[static_cast<umsize_t>(size_max + 1)];

        long long value = 1;
        Base_To_Size[0] = static_cast<int>(value);
        Inverse_Base_To_Size[0] = pali::math::inverse(static_cast<int>(value), Mod);
        for (mindex_t i=1; i <= size_max; ++i) {
            value *= Base;
            value %= Mod;
            Base_To_Size[i] = static_cast<int>(value);
            Inverse_Base_To_Size[i] = pali::math::inverse(static_cast<int>(value), Mod);
        }
    }

    ~RabinKarpHasher()
    {
        delete[] Base_To_Size;
        delete[] Inverse_Base_To_Size;
    }

    int hash(const std::vector<int>& tab, mindex_t from, msize_t size)
    {
        long long result = 0;
        for (mindex_t i=from; i <= from + size - 1; ++i) {
            result *= Base;
            result %= Mod;
            result += hv(tab[static_cast<umindex_t>(i)]);
            result %= Mod;
        }
        return static_cast<int>(result);
    }

    int hash(const int* tab, mindex_t from, msize_t size)
    {
        long long result = 0;
        for (mindex_t i=from; i <= from + size - 1; ++i) {
            result *= Base;
            result %= Mod;
            result += hv(tab[i]);
            result %= Mod;
        }
        return static_cast<int>(result);
    }

    int hash_next(const std::vector<int>& tab, int prev, mindex_t to)
    {
        long long result = prev;
        result *= Base;
        result %= Mod;
        result += hv(tab[static_cast<umindex_t>(to)]);
        result %= Mod;
        return static_cast<int>(result);
    }

    int hash_next(const int* tab, int prev, mindex_t to)
    {
        long long result = prev;
        result *= Base;
        result %= Mod;
        result += hv(tab[to]);
        result %= Mod;
        return static_cast<int>(result);
    }

    int hash_roll(const std::vector<int>& tab, int prev, mindex_t to, msize_t size)
    {
        long long result = prev;
        result *= Base;
        result %= Mod;
        result += hv(tab[static_cast<umindex_t>(to)]);
        result %= Mod;
        long long val = Base_To_Size[size] * hv(tab[static_cast<umindex_t>(to - size)]);
        val %= Mod;
        result += Mod - val;
        result %= Mod;
        return static_cast<int>(result);
    }

    int hash_roll(const int* tab, int prev, mindex_t to, msize_t size)
    {
        long long result = prev;
        result *= Base;
        result %= Mod;
        result += hv(tab[to]);
        result %= Mod;
        long long val = Base_To_Size[size] * hv(tab[to - size]);
        val %= Mod;
        result += Mod - val;
        result %= Mod;
        return static_cast<int>(result);
    }

    int sub_hash(int a, int b, int pos_diff)
    {
        long long result = a;
        result += Mod;
        result -= b;
        result *= Inverse_Base_To_Size[pos_diff];
        result %= Mod;
        return static_cast<int>(result);
    }

private:
    RabinKarpHasher(const RabinKarpHasher&);
    RabinKarpHasher& operator=(const RabinKarpHasher&);

    static const int Base = 131071;
    static const int Mod = 524287;
    int* Base_To_Size;
    int* Inverse_Base_To_Size;

    int hv(int x)
    {
        return x;
    }
};

}   // namespace hash

}   // namespace pali

#endif   // PALI_HPP

/*}}}*/



using pali::Uninitialized_Negatively;



const int N_max = 10000;
const int Mod = 1000000007;


int combi[N_max + 1][N_max + 1];

void calc_combi(int N)
{
    for (int n = 0; n <= N; n++) {
        for (int k = 0; k <= n; k++) {
            combi[n][k] =
                (k == 0 || k == n) ? 1
                : (combi[n - 1][k - 1] + combi[n - 1][k]) % Mod;
        }
    }
}


std::vector<int> calc_hip(int bits, int rad, int sro)
{
    std::vector<int> result;
    for (int r = 0; r <= rad; ++r) {
        std::string bitmask(static_cast<size_t>(bits - r), 0);
        bitmask.resize(static_cast<size_t>(bits), 1);
        do {
            int point = sro;
            int mask = 1;
            for (int i = 0; i < bits; ++i) {
                if (bitmask[static_cast<size_t>(i)] == 1) {
                    point ^= mask;
                }
                mask <<= 1;
            }
            result.push_back(point);
        } while (std::next_permutation(bitmask.begin(), bitmask.end()));
    }
    std::sort(result.begin(), result.end());
    return result;
}

int count_common_brute(int bits, int rad1, int rad2, int diff_bits)
{
    int sro1 = 0;
    auto hip1 = calc_hip(bits, rad1, sro1);

    int sro2 = 0;
    int mask = 1;
    for (int i = 0; i < diff_bits; ++i) {
        sro2 |= mask;
        mask <<= 1;
    }
    auto hip2 = calc_hip(bits, rad2, sro2);

    std::vector<int> intersection;
    std::set_intersection(hip1.begin(), hip1.end(), hip2.begin(), hip2.end(), std::back_inserter(intersection));
    return static_cast<int>(intersection.size());
}

int count_common(int bits, int rad1, int rad2, int diff_bits)
{
    int result = 0;
    for (int r1 = 0; r1 <= rad1; ++r1) {
        for (int r2 = 0; r2 <= rad2; ++r2) {
            for (int d1 = 0; d1 <= diff_bits; ++d1) {
                int d2 = diff_bits - d1;
                int s1 = r1 - d1; if (s1 < 0) { continue; }
                int s2 = r2 - d2; if (s2 != s1) { continue; }
                auto a = static_cast<long long>(combi[diff_bits][d1]) * combi[bits - diff_bits][s1] % Mod;
                result += static_cast<int>(a);
                result %= Mod;
            }
        }
    }
    return result;
}

int count_common_3(int bits, int rad1, int rad2, int rad3, int dss, int sds, int ssd)
{
    int result = 0;
    int sss = bits - dss - sds - ssd;
    for (int r1 = 0; r1 <= rad1; ++r1) {
        for (int r2 = 0; r2 <= rad2; ++r2) {
            for (int r3 = 0; r3 <= rad3; ++r3) {
                for (int dss1 = 0; dss1 <= dss; ++dss1) {
                    int r1a = dss1; if (r1a > r1) { continue; }
                    int dss2 = dss - dss1;
                    int r2a = dss2; if (r2a > r2) { continue; }
                    int dss3 = dss - dss1;
                    int r3a = dss3; if (r3a > r3) { continue; }
                    for (int sds2 = 0; sds2 <= sds; ++sds2) {
                        int r2b = r2a + sds2; if (r2b > r2) { continue; }
                        int sds1 = sds - sds2;
                        int r1b = r1a + sds1; if (r1b > r1) { continue; }
                        int sds3 = sds - sds2;
                        int r3b = r3a + sds3; if (r3b > r3) { continue; }
                        for (int ssd3 = 0; ssd3 <= ssd; ++ssd3) {
                            int r3c = r3b + ssd3; if (r3c > r3) { continue; }
                            int ssd1 = ssd - ssd3;
                            int r1c = r1b + ssd1; if (r1c > r1) { continue; }
                            int ssd2 = ssd - ssd3;
                            int r2c = r2b + ssd2; if (r2c > r2) { continue; }

                            int s1 = r1 - r1c;
                            int s2 = r2 - r2c;
                            int s3 = r3 - r3c;
                            if (s1 != s2 || s1 != s3) { continue; }

                            auto a = static_cast<long long>(combi[dss][dss1]) * combi[sds][sds2] % Mod;
                            auto b = static_cast<long long>(combi[ssd][ssd3]) * combi[sss][s1] % Mod;
                            auto c = a * b % Mod;
                            result += static_cast<int>(c);
                            result %= Mod;
                        }
                    }
                }
            }
        }
    }
    return result;
}

struct Kul
{
    int r;
    char c[N_max + 1];
};

Kul kuls[3];
int kuls_c_diff[3][3];
int kk[2];

#ifdef NDEBUG

#define test_count_common(n) ((void)0)

#else

void test_count_common(int n)
{
    for (int bits = 1; bits <= n; ++bits) {
        for (int rad1 = 0; rad1 <= bits; ++rad1) {
            for (int rad2 = 0; rad2 <= bits; ++rad2) {
                for (int diff_bits = 0; diff_bits <= bits; ++diff_bits) {
                    assert(count_common_brute(bits, rad1, rad2, diff_bits) == count_common(bits, rad1, rad2, diff_bits));
                }
            }
        }
    }
}

#endif

int main()
{
    std::ios_base::sync_with_stdio(false);

    int N; scanf("%d", &N);
    for (int i = 0; i < 3; ++i) {
        scanf("%d %s", &kuls[i].r, kuls[i].c);
    }

    calc_combi(N);

    //test_count_common(std::min(N, 10));

    for (int i = 0; i < 3; ++i) {
        const auto& kuli = kuls[i];
        for (int j = 0; j < 3; ++j) {
            const auto& kulj = kuls[j];
            int diff = 0;
            for (int k = 0; k < N; ++k) {
                if (kuli.c[k] != kulj.c[k]) {
                    ++diff;
                }
            }
            kuls_c_diff[i][j] = kuls_c_diff[j][i] = diff;
        }
    }

    int dss = 0;
    int sds = 0;
    int ssd = 0;
    for (int b = 0; b < N; ++b) {
        int b1 = kuls[0].c[b];
        int b2 = kuls[1].c[b];
        int b3 = kuls[2].c[b];

        if ((b1 == '0' && b2 == '1' && b3 == '1')
            || (b1 == '1' && b2 == '0' && b3 == '0')) {
            ++dss;
        } else if ((b1 == '1' && b2 == '0' && b3 == '1')
                   || (b1 == '0' && b2 == '1' && b3 == '0')) {
            ++sds;
        } else if ((b1 == '1' && b2 == '1' && b3 == '0')
                   || (b1 == '0' && b2 == '0' && b3 == '1')) {
            ++ssd;
        }
    }

    assert(kuls_c_diff[0][1] == kuls_c_diff[1][0] && kuls_c_diff[0][1] == dss + sds);
    assert(kuls_c_diff[0][2] == kuls_c_diff[2][0] && kuls_c_diff[0][2] == dss + ssd);
    assert(kuls_c_diff[1][2] == kuls_c_diff[2][1] && kuls_c_diff[1][2] == sds + ssd);

    kk[0] = Uninitialized_Negatively;
    if (kuls[0].r == kuls[1].r && kuls_c_diff[0][1] == 0) {
        kk[0] = 0;
        kk[1] = 2;
    } else if ((kuls[0].r == kuls[2].r && kuls_c_diff[0][2] == 0)
               || (kuls[1].r == kuls[2].r && kuls_c_diff[1][2] == 0)) {
        kk[0] = 0;
        kk[1] = 1;
    }
    int result = 0;
    if (kk[0] != Uninitialized_Negatively) {
        for (int i = 0; i < 2; ++i) {
            for (int r = 0; r <= kuls[kk[i]].r; ++r) {
                result += combi[N][r];
                result %= Mod;
            }
        }
        result += Mod - count_common(N, kuls[kk[0]].r, kuls[kk[1]].r, kuls_c_diff[kk[0]][kk[1]]);
        result %= Mod;
    } else {
        for (int i = 0; i < 3; ++i) {
            for (int r = 0; r <= kuls[i].r; ++r) {
                result += combi[N][r];
                result %= Mod;
            }
            for (int j = i + 1; j < 3; ++j) {
                result += Mod - count_common(N, kuls[i].r, kuls[j].r, kuls_c_diff[i][j]);
                result %= Mod;
            }
        }
        result += count_common_3(N, kuls[0].r, kuls[1].r, kuls[2].r, dss, sds, ssd);
        result %= Mod;
    }
    printf("%d\n", result);
}