#define STOPIT
#include <bits/stdc++.h>
#define loop(n) for (int ngtkana_is_a_genius = 0; ngtkana_is_a_genius < int(n); ngtkana_is_a_genius++)
#define rep(i, begin, end) for (int i = int(begin); (i) < int(end); i++)
#define all(v) v.begin(), v.end()
#define rand(l, r) std::uniform_int_distribution<>(l, r)(mt)
using lint = long long;
auto mt = std::mt19937_64(std::random_device{}());
auto cmn = [](auto& a, auto b){ if (a > b) {a = b; return true;} return false; };
auto cmx = [](auto& a, auto b){ if (a < b) {a = b; return true;} return false; };
void debug_impl() { std::cerr << std::endl; }
template <typename Head, typename... Tail>
void debug_impl(Head head, Tail... tail) { std::cerr << " " << head; debug_impl(tail...); }
#ifndef STOPIT
#define debug(...)\
  do {\
    std::cerr << std::boolalpha << "[" << #__VA_ARGS__ << "]:";\
    debug_impl(__VA_ARGS__);\
    std::cerr << std::noboolalpha;\
  } while (false)
#else
#define debug(...) {}
#endif

template <typename T>
T inverse(T a, T m) {
  T u = 0, v = 1;
  while (a != 0) {
    T t = m / a;
    m -= t * a; std::swap(a, m);
    u -= t * v; std::swap(u, v);
  }
  assert(m == 1);
  return u;
}
template <typename T>
class modular {
  private:
    int value;
  public:
    constexpr modular() = default;
    constexpr modular(const modular&) = default;
    constexpr modular(modular&&) = default;
    modular& operator=(const modular&) = default;
    modular& operator=(modular&&) = default;

    template <typename U>
    modular (const U& x) {value = normalize(x);}

    template <typename U>
    static auto normalize(const U& x) {
      int v = static_cast<int>(-mod() <= x && x < mod() ? x : x % mod());
      if (v < 0) v += mod();
      return v;
    }

    auto const& operator()() const { return value; }
    template <typename U>
    explicit operator U() const { return static_cast<U>(value); }
    constexpr static auto mod() { return T::value; }

    auto& operator+=(const modular& other) {
      if ((value += other.value) >= mod()) value -= mod();
      return *this;
    }
    auto& operator-=(const modular& other) {
      if ((value -= other.value) < 0) value += mod();
      return *this;
    }
    template <typename U>
    auto& operator+=(const U& other) {return *this += modular(other); }
    template <typename U>
    auto& operator-=(const U& other) {return *this -= modular(other); }
    auto operator-() const { return modular(-value); }
    auto& operator++() {return *this += 1;}
    auto& operator--() {return *this -= 1;}
    auto  operator++(int) {modular result(*this); operator++(); return result;}
    auto  operator--(int) {modular result(*this); operator--(); return result;}

    template <typename U = T>
    auto& operator*=(const modular& rhs) {
      value = normalize(static_cast<int64_t>(value) * static_cast<int64_t>(rhs.value));
      return *this;
    }
    auto& operator/=(const modular& other) {
      return *this *= modular(inverse(other.value, mod()));
    }
};
template <typename T> struct is_modular : std::false_type {};
template <typename T> struct is_modular <modular<T>> : std::true_type{};
template <typename T> constexpr bool is_modular_v = is_modular<T>::value;

template <typename T> bool operator==(const modular<T>& lhs, const modular<T>& rhs) { return lhs() == rhs(); }
template <typename T, typename U> bool operator==(const modular<T>& lhs, U rhs) { return lhs == modular<T>(rhs); }
template <typename T, typename U> bool operator==(U lhs, const modular<T>& rhs) { return modular<T>(lhs) == rhs; }

template <typename T> bool operator!=(const modular<T>& lhs, const modular<T>& rhs) { return !(lhs == rhs); }
template <typename T, typename U> bool operator!=(const modular<T>& lhs, U rhs) { return !(lhs == rhs); }
template <typename T, typename U> bool operator!=(U lhs, const modular<T>& rhs) { return !(lhs == rhs); }

template <typename T> modular<T> operator+(const modular<T>& lhs, const modular<T>& rhs) { return modular<T>(lhs) += rhs; }
template <typename T, typename U> modular<T> operator+(const modular<T>& lhs, U rhs) { return modular<T>(lhs) += rhs; }
template <typename T, typename U> modular<T> operator+(U lhs, const modular<T>& rhs) { return modular<T>(lhs) += rhs; }

template <typename T> modular<T> operator-(const modular<T>& lhs, const modular<T>& rhs) { return modular<T>(lhs) -= rhs; }
template <typename T, typename U> modular<T> operator-(const modular<T>& lhs, U rhs) { return modular<T>(lhs) -= rhs; }
template <typename T, typename U> modular<T> operator-(U lhs, const modular<T>& rhs) { return modular<T>(lhs) -= rhs; }

template <typename T> modular<T> operator*(const modular<T>& lhs, const modular<T>& rhs) { return modular<T>(lhs) *= rhs; }
template <typename T, typename U> modular<T> operator*(const modular<T>& lhs, U rhs) { return modular<T>(lhs) *= rhs; }
template <typename T, typename U> modular<T> operator*(U lhs, const modular<T>& rhs) { return modular<T>(lhs) *= rhs; }

template <typename T> modular<T> operator/(const modular<T>& lhs, const modular<T>& rhs) { return modular<T>(lhs) /= rhs; }
template <typename T, typename U> modular<T> operator/(const modular<T>& lhs, U rhs) { return modular<T>(lhs) /= rhs; }
template <typename T, typename U> modular<T> operator/(U lhs, const modular<T>& rhs) { return modular<T>(lhs) /= rhs; }

template<typename T, typename U>
modular<T> power (const modular<T>& a, U b) {
  assert(b >= 0);
  modular<T> x = a, ret = 1;
  for (; b > 0; b /= 2) {
    if (b % 2 == 1) ret *= x;
    x *= x;
  }
  return ret;
}

template <typename T>
std::string to_string(const modular<T>& a) {
  return std::to_string(a());
}
template <typename T>
auto operator<<(std::ostream& os, const T& a)
  -> std::enable_if_t<is_modular_v<T>, std::ostream&>{
    return os << a();
  }
template <typename T>
auto operator>>(std::istream& is, T& a)
  -> std::enable_if_t<is_modular_v<T>, std::istream&> {
  long long x; is >> x;
  a = T(x);
  return is;
}

// using mod_type = int;

// struct variable_mod { static mod_type value; };
// mod_type variable_mod::value;
// mod_type& mod = variable_mod::value;
// using mint = modular< variable_mod >;

constexpr int mod = 1'000'000'007;
using mint = modular<std::integral_constant<std::decay_t<decltype(mod)>, mod>>;

template < typename Container, typename Value = typename Container::value_type, std::enable_if_t<!std::is_same< Container, std::string >::value, std::nullptr_t> = nullptr>
std::istream& operator>> (std::istream& is, Container& v)
  { for (auto & x : v) { is >> x; } return is; }

template < typename Container, typename Value = typename Container::value_type, std::enable_if_t<!std::is_same< Container, std::string >::value, std::nullptr_t> = nullptr >
std::ostream& operator<< (std::ostream& os, Container const& v) {
 os << "{";
  for (auto it = v.begin(); it != v.end(); it++)
    {os << (it != v.begin() ? "," : "") << *it;}
  return os << "}";
}

template < template < typename ... > class Tuple,  typename... Args, std::size_t ... Inds, std::size_t = std::tuple_size< Tuple < Args ... > >::value >
std::istream& tuple_input_impl(std::istream& os, Tuple<Args...>& tuple, std::integer_sequence<std::size_t, Inds...>)
  { (void)std::initializer_list<int>{((void)(os >> std::get< Inds >(tuple)), 0)...}; return os; }
template < template < typename ... > class Tuple,  typename... Args, std::size_t = std::tuple_size< Tuple < Args ... > >::value >
std::istream& operator>> (std::istream& os, Tuple<Args...>& tuple)
  { return tuple_input_impl(os, tuple, std::index_sequence_for<Args...>()); }

template < template < typename ... > class Tuple,  typename... Args, std::size_t ... Inds, std::size_t = std::tuple_size< Tuple < Args ... > >::value >
std::ostream& tuple_output_impl(std::ostream& os, const Tuple<Args...>& tuple, std::integer_sequence<std::size_t, Inds...>)
  { os << "("; (void)std::initializer_list<int>{((void)(os << (Inds > 0 ? "," : "") << std::get< Inds >(tuple)), 0)...}; return os << ")"; }
template < template < typename ... > class Tuple,  typename... Args, std::size_t = std::tuple_size< Tuple < Args ... > >::value >
std::ostream& operator<< (std::ostream& os, const Tuple<Args...>& tuple)
 { return tuple_output_impl(os, tuple, std::index_sequence_for<Args...>()); }

template <typename T>
auto make_vector_impl(size_t sz, T t) {return std::vector<T>(sz, t);}

template <size_t N, typename T, typename U, std::enable_if_t<N == 1, std::nullptr_t> = nullptr>
auto make_vector(size_t sz, U u) {return make_vector_impl(sz, T(u));}

template <size_t N, typename T, std::enable_if_t<N == 1, std::nullptr_t> = nullptr>
auto make_vector(size_t sz) {return std::vector<T>(sz);}

template <size_t N, typename T, typename... Args, std::enable_if_t<N != 1, std::nullptr_t> = nullptr>
auto make_vector(size_t a, Args... args) {return make_vector_impl(a, make_vector<N - 1, T>(args...));}

template <typename T, typename Size_t>
auto& at(T& t, Size_t i) {return t.at(i);}

template <typename T, typename Size_t, typename... Args>
auto& at(T& t, Size_t i, Args... args) {return at(t.at(i), args...);}

// require gcc >= 7.1.0
template < class ... Keys >
class fmt_t {
    using storage_t = std::tuple< Keys ... >;
    storage_t storage;
    static constexpr std::size_t N = sizeof ... (Keys);

    // is_exact_match_impl
    template < std::size_t I, class Value >
      auto is_exact_match_impl(long, Value) const
        { return false; }

    template < std::size_t I, class Value,
      std::enable_if_t<
        std::is_same< std::decay_t< Value > , char >::value
        == std::is_same< std::tuple_element_t< I, storage_t >, char >::value,
      std::nullptr_t > = nullptr,
      class = decltype(std::declval< Value >() == std::get< I >(std::declval< storage_t >())) >
      auto is_exact_match_impl(int, Value x) const
        { return x == std::get< I >(storage); }

    template < class Value, std::size_t ... Is >
      auto find_exact_match_impl(Value x, std::integer_sequence< std::size_t, Is ... >) const {
        auto ret = false;
        (void)std::initializer_list< std::nullptr_t >
          { (ret |= is_exact_match_impl< Is >(int{}, x), nullptr) ...  };
        return ret;
      }

    template < class Value >
      auto exists_exact_match(Value x) const
      {  return find_exact_match_impl(x, std::make_index_sequence< N >()); }

    // tuple_format_impl
    template < class Tuple,  std::size_t ... Is >
    std::string tuple_format_impl(const Tuple& tuple, std::integer_sequence< std::size_t, Is ... >) const {
      std::string ret = "(";
      (void)std::initializer_list< std::nullptr_t >
        { (ret = ret + (Is == 0 ? "" : ",") + format(std::get< Is >(tuple)), nullptr) ... };
      return ret + ")";
    }

    // usual_format
    template < class Value >
    std::string usual_format(long, Value x) const
      { return std::to_string(x); }

    template < class Value, std::enable_if_t< std::is_same< std::decay_t< Value >, char >::value, std::nullptr_t > = nullptr >
    std::string usual_format(int, Value c) const
      { return std::string{'\''} + std::string{c} + std::string{'\''}; }

    std::string usual_format(int, char const* s) const
      { return "\"" + std::string(s) + "\""; }

    std::string usual_format(int, std::string const s) const
      { return "\"" + s + "\""; }

    template < class Container, class = typename Container::value_type >
    std::string usual_format(int, Container const & v) const {
      return "{" + std::accumulate(v.begin(), v .end(), std::string{},
        [this](auto const& s, auto const x) { return s + (s.empty() ? "" : ",") + this->format(x); })
        + "}";
    }

    template < class Tuple, std::size_t N = std::tuple_size< Tuple >::value >
    std::string usual_format(int, Tuple const& tuple) const
      { return tuple_format_impl(tuple, std::make_index_sequence< N >()); }

    // format
    template < class Value > std::string format(Value&& x) const
      { return exists_exact_match(x) ? std::string{'_'} : usual_format(int{}, x); }

  public:
    fmt_t()=default;
    template < Keys ... > fmt_t(Keys&& ... keys ) : storage(keys ... ){}

    template < class Value > std::string operator()(Value&& x) const
      { return format(x); }
};
template < class ... Keys > auto fmt(Keys&& ... keys)
  { return fmt_t< Keys ... >(std::forward< Keys >(keys) ... ); }

void err() { std::cout << 0 << std::endl; exit(0); }
#define require(exp) do { if (!(exp)) { err(); } } while(false)

int main() {
  std::cin.tie(0); std::cin.sync_with_stdio(false);
  int n, m; std::cin >> n >> m;
  std::vector<std::tuple<int,int,int>> data;
  rep(i,0,m) {
    int l, r, c; std::cin >> l >> r >> c;
    if (r-l+1 < c) err();
    if (l==r && c==1) continue;
    data.emplace_back(l,r,c);
  }
  std::sort(all(data), [](auto p, auto q){ return std::get<1>(p) < std::get<1>(q); });
  debug(data);

  auto dp = make_vector<2,mint>(n+1,n+1,0);
  auto itr = data.begin();
  at(dp,0,0) = 1;
  rep(i,1,n) {
    debug(i);
    for (int j = std::max(0,i-1); j >= 0; j--)
    for (int k = std::max(0,j-1); k >= 0; k--) {
      // debug(i,j,k);
      mint x = at(dp,j,k);
      at(dp,i,k) += x;
      if (0 < j) {
        at(dp,i,j) += x;
      }
    }

    // debug
    for (auto& v : dp){
      std::vector<int> u;
      for (mint x : v) u.emplace_back(x);
      debug(fmt(0)(u));
    }
    debug("");

    while (itr != data.end()) {
      int l,r,c; std::tie(l,r,c) = *itr;
      assert(i < r);
      if (i + 1 < r) break;
      debug(*itr);

      assert(r==i+1);
      rep(j,0,n+1) rep(k,0,n+1) {
        if (c==1 && j < l && l <= i) continue;
        if (c==2 && k < l && l <= j) continue;
        if (c==3 &&          l <= k) continue;
        at(dp,j,k) = 0;
      }

      itr++;
    }

    // debug
    for (auto& v : dp){
      std::vector<int> u;
      for (mint x : v) u.emplace_back(x);
      debug(fmt(0)(u));
    }
    debug("");
  }

  mint ans = 0;
  rep(j,0,n+1) rep(k,0,n+1) {
    mint coeff = j==0 && k==0 ? 3 : 6;
    ans += at(dp,j,k) * coeff;
  }
  std::cout << ans << std::endl;
  return 0;
}

Measured memory_bytes: 640