Language: C++

#pragma GCC optimize ("O3")
#pragma GCC target ("avx")
#include "bits/stdc++.h" // define macro "/D__MAI"

using namespace std;
typedef long long int ll;

#define xprintf(fmt,...) fprintf(stderr,fmt,__VA_ARGS__)
#define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:v){cout<<e<<" ";}cout<<endl;}
#define debuga(m,w) {printf("L%d %s > ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout<<endl;}
#define debugaa(m,h,w) {printf("L%d %s >\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){cout<<(m)[y][x]<<" ";}cout<<endl;}}
#define ALL(v) (v).begin(),(v).end()
#define repeat(cnt,l) for(auto cnt=0ll;cnt<(l);++cnt)
#define iterate(cnt,b,e) for(auto cnt=(b);cnt!=(e);++cnt)
#define MD 1000000007ll
#define PI 3.1415926535897932384626433832795
template<typename T1, typename T2> ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << "(" << p.first << ":" << p.second << ")"; return o; }
template<typename iterator> inline size_t argmin(iterator begin, iterator end) {
    return distance(begin, min_element(begin, end));
}
template<typename iterator> inline size_t argmax(iterator begin, iterator end) {
    return distance(begin, max_element(begin, end));
}
template<typename T> T& maxset(T& to, const T& val) { return to = max(to, val); }
template<typename T> T& minset(T& to, const T& val) { return to = min(to, val); }

mt19937_64 randdev(8901016);
inline ll rand_range(ll l, ll h) {
    return uniform_int_distribution<ll>(l, h)(randdev);
}

#ifdef __MAI
#define getchar_unlocked getchar
#define putchar_unlocked putchar
#endif
#ifdef __VSCC
#define getchar_unlocked _getchar_nolock
#define putchar_unlocked _putchar_nolock
#endif
namespace {
#define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E)
    class MaiScanner {
    public:
        template<typename T> void input_integer(T& var) {
            var = 0;
            T sign = 1;
            int cc = getchar_unlocked();
            for (; cc<'0' || '9'<cc; cc = getchar_unlocked())
                if (cc == '-') sign = -1;
            for (; '0' <= cc&&cc <= '9'; cc = getchar_unlocked())
                var = (var << 3) + (var << 1) + cc - '0';
            var = var*sign;
        }
        inline int c() { return getchar_unlocked(); }
        inline MaiScanner& operator>>(int& var) {
            input_integer<int>(var);
            return *this;
        }
        inline MaiScanner& operator>>(long long& var) {
            input_integer<long long>(var);
            return *this;
        }
        inline MaiScanner& operator>>(string& var) {
            int cc = getchar_unlocked();
            for (; !isvisiblechar(cc); cc = getchar_unlocked());
            for (; isvisiblechar(cc); cc = getchar_unlocked())
                var.push_back(cc);
        }
        template<typename IT> void in(IT begin, IT end) {
            for (auto it = begin; it != end; ++it) *this >> *it;
        }
    };
}
MaiScanner scanner;



class llmod {
public: const ll MOD = MD;
private:
    ll val;
    inline ll cut(ll v) const { return ((v%MOD) + MOD) % MOD; }
public:

    llmod() : MOD(MD), val(0) {}
    llmod(ll num, ll m = MD) : MOD(m), val(cut(num)) {}
    llmod(const llmod& lm, ll m) : MOD(m), val(lm.val) {}

    inline ll operator*() const { return val; }
    inline llmod& operator=(const llmod& lm) { val = lm.val; return *this; }
    inline llmod& operator=(ll v) { val = cut(v); return *this; }

    inline llmod& operator+=(ll v) { val = cut(val + v); return *this; }
    inline llmod& operator+=(const llmod& l) { val = cut(val + l.val); return *this; }
    inline llmod& operator-=(ll v) { val = cut(val - v); return *this; }
    inline llmod& operator-=(const llmod& l) { val = cut(val - l.val); return *this; }
    inline llmod& operator*=(ll v) { val = cut(val * v); return *this; }
    inline llmod& operator*=(const llmod& l) { val = cut(val * l.val); return *this; }
    inline llmod& operator++() { val = (val + 1) % MOD; return *this; }
    inline llmod operator++(int) { llmod t = *this; val = (val + 1) % MOD; return t; }
};
ostream& operator<<(ostream& os, const llmod& l) { os << *l; return os; }

inline llmod operator+(llmod t, const llmod& r) { return t += r; }
inline llmod operator-(llmod t, const llmod& r) { return t -= r; }
inline llmod operator*(llmod t, const llmod& r) { return t *= r; }



// MEMO : 逆元...powm(n,MD-2)
llmod pow(llmod x, ll p) {
    llmod y = 1;
    while (0 < p) {
        if (p % 2)
            y *= x;
        x *= x;
        p /= 2;
    }
    return y;
}

inline llmod& operator/=(llmod& l, const llmod& r) { return l *= pow(r, r.MOD - 2); }

/*

2色に無い色を加えて，3色にする => 組み合わせ数は 2色のパターンと一致


*/


int n, m;

vector<vector<pair<int, int>>> limit;

llmod dp[302][302][302];

int main() {

    scanner >> n >> m;
    
    limit.resize(n+1);

    repeat(i, m) {
        int l, r, x;
        scanner >> l >> r >> x;
        //--l; --r;
        limit[r].emplace_back(l, x);
    }

    llmod ans = 0;
    // どの色も存在しない
    dp[0][0][0] = 1;
    
    repeat(r, n+1) {
        repeat(g, n+1) {
            repeat(b, n+1) {
                if (dp[r][g][b] == 0) continue;
                int right = max(max(r, g), b);
                array<int, 3> p = { r,g,b };
                sort(ALL(p));
                for (auto lx : limit[right]) {
                    int l = lx.first;
                    int c = 1 + (l <= p[1]) + (l <= p[0]);
                    if (lx.second != c) {
                        dp[r][g][b] = 0;
                        goto l_nxt;
                    }
                }
                dp[right + 1][g][b] += dp[r][g][b];
                dp[r][right + 1][b] += dp[r][g][b];
                dp[r][g][right + 1] += dp[r][g][b];
                
                if (right == n)
                    ans += dp[r][g][b];
            l_nxt:;
            }
        }
    }
    cout << *ans << endl;
    
    return 0;
}



Compiler output:
a.cc: In member function '{anonymous}::MaiScanner& {anonymous}::MaiScanner::operator>>(std::string&)':
a.cc:68:9: warning: no return statement in function returning non-void [-Wreturn-type]
   68 |         }
      |         ^
a.cc: In function 'int main()':
a.cc:158:33: error: no match for 'operator==' (operand types are 'llmod' and 'int')
  158 |                 if (dp[r][g][b] == 0) continue;
      |                     ~~~~~~~~~~~ ^~ ~
      |                               |    |
      |                               |    int
      |                               llmod
In file included from /usr/include/c++/14/regex:68,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:181,
                 from a.cc:3:
/usr/include/c++/14/bits/regex.h:1103:5: note: candidate: 'template<class _BiIter> bool std::__cxx11::operator==(const sub_match<_BiIter>&, const sub_match<_BiIter>&)'
 1103 |     operator==(const sub_match<_BiIter>& __lhs, const sub_match<_BiIter>& __rhs)
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1103:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::__cxx11::sub_match<_BiIter>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/regex.h:1199:5: note: candidate: 'template<class _Bi_iter, class _Ch_traits, class _Ch_alloc> bool std::__cxx11::operator==(__sub_match_string<_Bi_iter, _Ch_traits, _Ch_alloc>&, const sub_match<_BiIter>&)'
 1199 |     operator==(const __sub_match_string<_Bi_iter, _Ch_traits, _Ch_alloc>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1199:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'std::__cxx11::__sub_match_string<_Bi_iter, _Ch_traits, _Ch_alloc>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/regex.h:1274:5: note: candidate: 'template<class _Bi_iter, class _Ch_traits, class _Ch_alloc> bool std::__cxx11::operator==(const sub_match<_BiIter>&, __sub_match_string<_Bi_iter, _Ch_traits, _Ch_alloc>&)'
 1274 |     operator==(const sub_match<_Bi_iter>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1274:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::__cxx11::sub_match<_BiIter>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/regex.h:1366:5: note: candidate: 'template<class _Bi_iter> bool std::__cxx11::operator==(const typename std::iterator_traits<_Iter>::value_type*, const sub_match<_BiIter>&)'
 1366 |     operator==(typename iterator_traits<_Bi_iter>::value_type const* __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1366:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   mismatched types 'const std::__cxx11::sub_match<_BiIter>' and 'int'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/regex.h:1441:5: note: candidate: 'template<class _Bi_iter> bool std::__cxx11::operator==(const sub_match<_BiIter>&, const typename std::iterator_traits<_Iter>::value_type*)'
 1441 |     operator==(const sub_match<_Bi_iter>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1441:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::__cxx11::sub_match<_BiIter>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/regex.h:1534:5: note: candidate: 'template<class _Bi_iter> bool std::__cxx11::operator==(const typename std::iterator_traits<_Iter>::value_type&, const sub_match<_BiIter>&)'
 1534 |     operator==(typename iterator_traits<_Bi_iter>::value_type const& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1534:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   mismatched types 'const std::__cxx11::sub_match<_BiIter>' and 'int'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/regex.h:1613:5: note: candidate: 'template<class _Bi_iter> bool std::__cxx11::operator==(const sub_match<_BiIter>&, const typename std::iterator_traits<_Iter>::value_type&)'
 1613 |     operator==(const sub_match<_Bi_iter>& __lhs,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:1613:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::__cxx11::sub_match<_BiIter>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/regex.h:2186:5: note: candidate: 'template<class _Bi_iter, class _Alloc> bool std::__cxx11::operator==(const match_results<_BiIter, _Alloc>&, const match_results<_BiIter, _Alloc>&)'
 2186 |     operator==(const match_results<_Bi_iter, _Alloc>& __m1,
      |     ^~~~~~~~
/usr/include/c++/14/bits/regex.h:2186:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::__cxx11::match_results<_BiIter, _Alloc>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
In file included from /usr/include/c++/14/bits/stl_algobase.h:64,
                 from /usr/include/c++/14/algorithm:60,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:51:
/usr/include/c++/14/bits/stl_pair.h:1033:5: note: candidate: 'template<class _T1, class _T2> constexpr bool std::operator==(const pair<_T1, _T2>&, const pair<_T1, _T2>&)'
 1033 |     operator==(const pair<_T1, _T2>& __x, const pair<_T1, _T2>& __y)
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_pair.h:1033:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::pair<_T1, _T2>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
In file included from /usr/include/c++/14/bits/stl_algobase.h:67:
/usr/include/c++/14/bits/stl_iterator.h:441:5: note: candidate: 'template<class _Iterator> constexpr bool std::operator==(const reverse_iterator<_Iterator>&, const reverse_iterator<_Iterator>&)'
  441 |     operator==(const reverse_iterator<_Iterator>& __x,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:441:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::reverse_iterator<_Iterator>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/stl_iterator.h:486:5: note: candidate: 'template<class _IteratorL, class _IteratorR> constexpr bool std::operator==(const reverse_iterator<_Iterator>&, const reverse_iterator<_IteratorR>&)'
  486 |     operator==(const reverse_iterator<_IteratorL>& __x,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:486:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::reverse_iterator<_Iterator>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/stl_iterator.h:1667:5: note: candidate: 'template<class _IteratorL, class _IteratorR> constexpr bool std::operator==(const move_iterator<_IteratorL>&, const move_iterator<_IteratorR>&)'
 1667 |     operator==(const move_iterator<_IteratorL>& __x,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:1667:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::move_iterator<_IteratorL>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
/usr/include/c++/14/bits/stl_iterator.h:1737:5: note: candidate: 'template<class _Iterator> constexpr bool std::operator==(const move_iterator<_IteratorL>&, const move_iterator<_IteratorL>&)'
 1737 |     operator==(const move_iterator<_Iterator>& __x,
      |     ^~~~~~~~
/usr/include/c++/14/bits/stl_iterator.h:1737:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::move_iterator<_IteratorL>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
In file included from /usr/include/c++/14/bits/char_traits.h:42,
                 from /usr/include/c++/14/string:42,
                 from /usr/include/c++/14/bitset:52,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:52:
/usr/include/c++/14/bits/postypes.h:192:5: note: candidate: 'template<class _StateT> bool std::operator==(const fpos<_StateT>&, const fpos<_StateT>&)'
  192 |     operator==(const fpos<_StateT>& __lhs, const fpos<_StateT>& __rhs)
      |     ^~~~~~~~
/usr/include/c++/14/bits/postypes.h:192:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::fpos<_StateT>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
In file included from /usr/include/c++/14/string:43:
/usr/include/c++/14/bits/allocator.h:235:5: note: candidate: 'template<class _T1, class _T2> bool std::operator==(const allocator<_CharT>&, const allocator<_T2>&)'
  235 |     operator==(const allocator<_T1>&, const allocator<_T2>&)
      |     ^~~~~~~~
/usr/include/c++/14/bits/allocator.h:235:5: note:   template argument deduction/substitution failed:
a.cc:158:36: note:   'llmod' is not derived from 'const std::allocator<_CharT>'
  158 |                 if (dp[r][g][b] == 0) continue;
      |                                    ^
In file included from /usr/include/c++/14/bits/basic_string.h:47,
                 from /usr/include/c++/14/string:54:
/usr/include/c++/14/string_view:629:5: note: candidate: 'template<class _CharT, class _Traits> constexpr bool std::operator==(basic_string_view<_Ch