// includes
#include <bits/stdc++.h>

// macros
#define ll long long int
#define pb emplace_back
#define mk make_pair
#define pq priority_queue
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define rep(i, n) FOR(i, 0, n)
#define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--)
#define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr)
#define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr)
#define vrep(v, i) for(int i = 0; i < (v).size(); i++)
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end())
#define FI first
#define SE second
#define dump(a, n) for(int i = 0; i < n; i++)cout << a[i] << "\n "[i + 1 != n];
#define dump2(a, n, m) for(int i = 0; i < n; i++)for(int j = 0; j < m; j++)cout << a[i][j] << "\n "[j + 1 != m];
#define bit(n) (1LL<<(n))
#define INT(n) int n; cin >> n;
#define LL(n) ll n; cin >> n;
#define DOUBLE(n) double n; cin >> n;
using namespace std;

//  types
typedef pair<int, int> P;
typedef pair<ll, int> Pl;
typedef pair<ll, ll> Pll;
typedef pair<double, double> Pd;
typedef complex<double> cd;
 
// constants
const int inf = 1e9;
const ll linf = 1LL << 50;
const double EPS = 1e-10;
const int mod = 1e9 + 7;
const int dx[4] = {-1, 0, 1, 0};
const int dy[4] = {0, -1, 0, 1};

// solve
template <class T>bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;}
template <class T>bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;}
template <typename T> istream &operator>>(istream &is, vector<T> &vec){for(auto &v: vec)is >> v; return is;}
template <typename T> ostream &operator<<(ostream &os, const vector<T>& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){os << p.first << " " << p.second; return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const unordered_map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}

ll dp1[8][20002];
ll dp2[16][20002];
ll dp3[8][20002];
ll dp4[16][20002];

int main(int argc, char const* argv[])
{
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout << fixed << setprecision(20);
  std::vector<vector<int>> v(7, std::vector<int>(2, 0));
  rep(i, 7)cin >> v[i][0] >> v[i][1];
  dp1[0][20001] = 1;
  rep(i, bit(3)){
	rep(k, 3)if((i >> k) & 1){
		ll curr = 0;
	  	for(int j = 20000; j >= 1; j--){
	  		curr += dp1[i ^ bit(k)][j + 1];
	  		if(v[k*2+1][0] <= j && j <= v[k*2+1][1])(dp1[i][j] += curr) %= mod;
  		}
  	}
  }
  dp2[0][0] = 1;
  rep(i, bit(4)){
  	rep(k, 4)if((i >> k) & 1){
  		ll curr = 0;
  		for(int j = 1; j <= 20000; j ++){
  			curr += dp2[i ^ bit(k)][j-1];
  			if(v[2*k][0] <= j && j <= v[2*k][1])(dp2[i][j] += curr) %= mod;
  		}
  	}
  }
  dp3[0][0] = 1;
  rep(i, bit(3)){
  	rep(k, 3)if((i >> k) & 1){
  		ll curr = 0;
  		for(int j = 1; j <= 20000; j ++){
  			curr += dp3[i ^ bit(k)][j-1];
  			if(v[2*k+1][0] <= j && j <= v[2*k+1][1])(dp3[i][j] += curr) %= mod;
  		}
  	}
  }
  dp4[0][20001] = 1;
  rep(i, bit(4)){
	rep(k, 4)if((i >> k) & 1){
		ll curr = 0;
	  	for(int j = 20000; j >= 1; j--){
	  		curr += dp4[i ^ bit(k)][j + 1];
	  		if(v[k*2][0] <= j && j <= v[k*2][1])(dp4[i][j] += curr) %= mod;
  		}
  	}
  }
  ll res = 0;
  ll curr = 0;
  for(int i = 19999; i >= 0; i--){
  	curr = (curr + dp1[7][i+1]) % mod;
  	res = (res + curr * dp2[15][i] % mod) % mod;
  }
  /*for(int i = 1; i < 20000; i++){
  	for(int j = i + 1; j <= 20000; j++){
  		res = (res + dp1[7][j] * dp2[15][i] % mod) % mod;
  	}
  }*/
  curr = 0;
  for(int i = 19999; i >= 0; i--){
  	curr = (curr + dp4[15][i+1]) % mod;
  	res = (res + curr * dp3[7][i] % mod) % mod;
  }
  /*for(int i = 1; i < 20000; i++){
  	for(int j = i + 1; j <= 20000; j++){
  		res = (res + dp4[15][j] * dp3[7][i] % mod) % mod;
  	}
  }*/
  cout << res << endl;
  return 0;
}