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

#include <iostream>
#include <algorithm>

#include <bitset>
#include <vector>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <stack>
#include <queue>
#include <deque>
#include <cstring>
#include <string>
#include <utility>
#include <array>
#include <complex>
#include <valarray>

#include <cassert>
#include <cmath>
#include <functional>
#include <iomanip>
#include <chrono>
#include <random>
#include <numeric>


using namespace std;
#define int long long

typedef long long ll;
typedef unsigned long long ull;
//typedef unsigned __int128 HASH;
typedef pair<int,int> pii;
typedef pair<ll, ll> pll;
typedef pair<ull, ull> pullull;
typedef pair<ll,int> plli;
typedef pair<double,int> pdi;
typedef pair<long double, int> pdbi;
typedef pair<int,pii> pipii;
typedef pair<ll,pll> plpll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<pii> vpii;
typedef vector<vector<int>> mat;

#define rep(i,n) for (int i=0;i<(n);i++)
#define rep2(i,a,b) for (int i=(a);i<(b);i++)
#define rrep(i,n) for (int i=(n);i>0;i--)
#define rrep2(i,a,b) for (int i=(a);i>b;i--)
#define pb push_back
#define fi first
#define se second
#define all(a) (a).begin(),(a).end()
#define rall(a) (a).rbegin(),(a).rend()

const ll hmod1 = 999999937;
const ll hmod2 = 1000000000 + 9;
const int INF = 1<<30;
const ll INFLL = 1LL<<62;
const long double EPS = 1e-12;
const ll mod = 1000000000 + 7;
const int dx4[4] = {1, 0, -1, 0};
const int dy4[4] = {0, 1, 0, -1};
const int dx8[8] = {1, 1, 1, 0, 0, -1, -1, -1};
const int dy8[8] = {0, 1, -1, 1, -1, 0, 1, -1};
const long double pi = 3.141592653589793;

#define addm(X, Y) (X) = ((X) + ((Y) % mod) + mod) % mod
#define inside(y, x, h, w) (0 <= (y) && (y) < (h) && 0 <= (x) && (x) < (w)) ? true : false

//debug
#define DEBUG

#define DUMPOUT cout

#ifdef DEBUG
#define dump(...) DUMPOUT<<#__VA_ARGS__<<" :["<<__FUNCTION__<<":"<<__LINE__<<"]"<<endl; DUMPOUT<<"    "; dump_func(__VA_ARGS__)
#else
#define dump(...)
#endif

void dump_func() {DUMPOUT << endl;};

template <class Head, class... Tail> void dump_func(Head&& head, Tail&&... tail) {
    DUMPOUT << head;
    if (sizeof...(Tail) == 0) DUMPOUT << " ";
    else DUMPOUT << ", ";
    dump_func(std::move(tail)...);
}

//ostream
template<typename T> ostream& operator << (ostream& os, vector<T>& vec) {
    os << "["; for (int i = 0; i<vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : ", "); os << "]";
    return os;
}

template<typename T, typename U> ostream& operator << (ostream& os, pair<T, U>& pair_var) {
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}

template<typename T, typename U> ostream& operator << (ostream& os, map<T, U>& map_var) {
    os << "[";
    for (auto itr = map_var.begin(); itr != map_var.end(); itr++) {
        os << "(" << itr->first << ", " << itr->second << ")"; itr++;  if(itr != map_var.end()) os << ", "; itr--;
    }
    os << "]";
    return os;
}

template<typename T> ostream& operator << (ostream& os, set<T>& set_var) {
    os << "[";
    for (auto itr = set_var.begin(); itr != set_var.end(); itr++) {
        os << *itr; ++itr; if(itr != set_var.end()) os << ", "; itr--;
    }
    os << "]";
    return os;
}

int n, m, S, T;

struct edge{int to, cost;};
struct einfo{int u, v, cost;};
vector<vector<edge>> g(100000 + 5);
vector<int> dp1(100000 + 5), dp2(100000 + 5);
vector<einfo> e;

vector<ll> dijkstra(int s, int n, vector<vector<edge>>& g, vector<int>& dp){
    priority_queue<plli, vector<plli>, greater<plli>> pque;
    vector<ll> d(n, INFLL);
    d[s] = 0;
    dp[s] = 1;
    pque.push(plli(0, s));

    while (!pque.empty()){
        plli p = pque.top(); pque.pop();
        int fr = p.second;
        if (d[fr] < p.first) continue;
        for (edge e: g[fr]){
            if (d[e.to] > d[fr] + e.cost){
                d[e.to] = d[fr] + e.cost;
                dp[e.to] = dp[fr];
                pque.push(plli(d[e.to], e.to));
            }
            else if (d[e.to] == d[fr] + e.cost) {
              dp[e.to] = (dp[e.to] + dp[fr]) % mod;
            }
        }
    }
    return d;
}

signed main(){
  cin.tie(0);
  ios::sync_with_stdio(false);
  cin >> n >> m;
  cin >> S >> T;
  S--; T--;
  rep(i, m) {
    int u, v, d;
    cin >> u >> v >> d;
    u--; v--;
    g[u].push_back(edge{v, d});
    g[v].push_back(edge{u, d});
    e.push_back(einfo{u, v, d});
  }
  vector<ll> dist1 = dijkstra(S, n, g, dp1);
  vector<ll> dist2 = dijkstra(T, n, g, dp2);
  int ans = (dp1[T] * dp2[S]) % mod;
  //dump(dp1);
  //dump(dp2);
  rep(i, n) {
    if (dist1[i] != INFLL && dist1[i] == dist2[i]) {
      int tmp = dp1[i] * dp2[i]%mod;
      addm(ans, -tmp*tmp);
    }
  }
  rep(i, m) {
    int u = e[i].u;
    int v = e[i].v;
    int d = e[i].cost;
    if (abs(dist1[v] - dist1[u]) != d) continue;
    if (dist1[u] - dist1[v] == d) swap(u, v);
    if (dist1[u] + dist2[v] + d != dist1[T]) continue;
    if (abs(dist1[u] - dist2[v]) < d) {
      int tmp = dp1[u] * dp2[v]%mod;
      addm(ans, -tmp*tmp);
    }
  }
  cout << ans%mod << endl;
}


Measured memory_bytes: 23980