#include <bits/stdc++.h>  // clang-format off
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
#define each(x,v) for(auto& x : v)
#define all(v) (v).begin(),(v).end()
#define sz(v) ((int)(v).size())
#define ini(...) int __VA_ARGS__; in(__VA_ARGS__)
#define inl(...) long long __VA_ARGS__; in(__VA_ARGS__)
#define ins(...) string __VA_ARGS__; in(__VA_ARGS__)

#ifdef ONLINE_JUDGE
  #define rep(i,N) for(int i = 0; i < (int)(N); i++)
  #define repr(i,N) for(int i = (int)(N) - 1; i >= 0; i--)
  #define rep1(i,N) for(int i = 1; i <= (int)(N) ; i++)
  #define repr1(i,N) for(int i = (N) ; (int)(i) > 0 ; i--)
#else
  #define rep(i,N) for(long long i = 0; i < (long long)(N); i++)
  #define repr(i,N) for(long long i = (long long)(N) - 1; i >= 0; i--)
  #define rep1(i,N) for(long long i = 1; i <= (long long)(N) ; i++)
  #define repr1(i,N) for(long long i = (N) ; (long long)(i) > 0 ; i--)
#endif

using namespace std; void solve();
using ll = long long; template<class T = ll> using V = vector<T>;
using vi = V<int>; using vl = V<>; using vvi = V< V<int> >;
constexpr int inf = 1001001001; constexpr ll infLL = (1LL << 61) - 1;
struct IoSetupNya {IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7);} } iosetupnya;
template<typename T, typename U> inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; }
template<typename T, typename U> inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; }
template<typename T, typename U> ostream& operator <<(ostream& os, const pair<T, U> &p) { os << p.first << " " << p.second; return os; }
template<typename T, typename U> istream& operator >>(istream& is, pair<T, U> &p) { is >> p.first >> p.second; return is; }
template<typename T> ostream& operator <<(ostream& os, const vector<T> &v) { int s = (int)v.size(); for(int i=0;i<s;i++) os << (i ? " " : "") << v[i]; return os; }
template<typename T> istream& operator >>(istream& is, vector<T> &v) { for(auto &x : v) is >> x; return is; }
void in(){} template <typename T,class... U> void in(T &t,U &...u){ cin >> t; in(u...);}
void out(){cout << "\n";} template <typename T,class... U> void out(const T &t,const U &...u){ cout << t; if(sizeof...(u)) cout << " "; out(u...);}
template<typename T>void die(T x){out(x); exit(0);}

#ifdef NyaanDebug
  #include "NyaanDebug.h"
  #define trc(...) do { cerr << #__VA_ARGS__ << " = "; dbg_out(__VA_ARGS__);} while(0)
  #define trca(v,N) do { cerr << #v << " = "; array_out(v , N);} while(0)
  #define trcc(v) do { cerr << "name : " << #v << "\n"; int cnt = 0; each(x , v){cerr << (cnt++) << " : "; trc(x); } } while(0)
#else
  #define trc(...)
  #define trca(...)
  #define trcc(...)
  int main(){solve();}
#endif

#define inc(...) char __VA_ARGS__; in(__VA_ARGS__)
#define in2(s,t)   rep(i,sz(s)){in(s[i] , t[i]);}
#define in3(s,t,u) rep(i,sz(s)){in(s[i] , t[i] , u[i]);}
using vd = V<double>; using vs = V<string>; using vvl = V< V<> >;
template<typename T,typename U>ll ceil(T a,U b){return (a + b - 1) / b;}

using P = pair<ll,ll>; using vp = V<P>;
constexpr int MOD = /**/ 1000000007; //*/ 998244353;
// clang-format on
///////////////////////////////////////////////////////////


template< typename T >
struct edge {
  int src, to;
  T cost;

  edge(int to, T cost) : src(-1), to(to), cost(cost) {}
  edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}

  edge &operator=(const int &x) {
    to = x;
    return *this;
  }

  operator int() const { return to; }
};
template< typename T >
using Edges = vector< edge< T > >;
template< typename T >
using WeightedGraph = vector< Edges< T > >;
using UnweightedGraph = vector< vector <int> >;

// グラフの入力
UnweightedGraph graph(
  int N , int M = -1 , bool is_directed = false, bool is_1origin = true){
  UnweightedGraph g(N);
  if(M == -1) M = N - 1;
  for(int _ = 0 ; _ < M ; _++){
    int x , y; cin >> x >> y;
    if(is_1origin) x-- , y--;
    g[x].pb(y);
    if(!is_directed) g[y].pb(x);
  }
  return g;
}

// 重み付きグラフの入力
template<typename T>
WeightedGraph<T> wgraph(
  int N , int M = -1 , bool is_directed = false , bool is_1origin = true){
  WeightedGraph<T> g(N);
  if(M == -1) M = N - 1;
  for(int _ = 0 ; _ < M ; _++){
    int x , y; cin >> x >> y;
    T c; cin >> c;
    if(is_1origin) x-- , y--;
    g[x].eb(y , c);
    if(!is_directed) g[y].eb(x , c);
  }
  return g;
}

void solve(){
  inl(N , M);
  auto g = wgraph<ll>(N , M);

  // 深さ優先探索
  // 0の値をxとおく
  vi parity(N , -1); parity[0] = 0;
  vl val(N , 0); val[0] = 0;
  // 辺の重み
  // parityが0のとき val[i] + x
  // parityが1のとき val[i] - x

  auto isok = [&](ll x)->int{
    vl memo(N); memo[0] = x;
    vl vis(N); vis[0] = 1;
    stack<int> s;
    s.push(0);
    while(!s.empty()){
      int cur = s.top(); s.pop();
      each(dst ,g[cur]){
        if(vis[dst]){
          if(dst.cost != memo[cur] + memo[dst]) return false;
        }
        else{
          memo[dst] = dst.cost - memo[cur];
          if(memo[dst] <= 0) return false;
          vis[dst] = 1;
          s.push(dst);
        }
      }
    }
    return true;
  };

  auto dfs = [&](auto rec,int cur,int par = -1) -> void{

    each(dst , g[cur]){
      if(dst == par) continue;
      // 閉路がある場合
      if(parity[dst] != -1){
        
        // 異なる場合 ... 
        if(parity[dst] != parity[cur]){
          if(val[dst] + val[cur] != dst.cost) die(0);
        }
        // 一致する場合... xが定まる
        else{
          ll x = dst.cost - val[dst] - val[cur];
          if(x % 2 != 0) die(0);
          x /= 2;
          if(parity[dst]) x = -x;
          if(isok(x)) die(1);
          else die(0);
        }
        continue;
      
      }
      parity[dst] = parity[cur] ^ 1;
      val[dst] = dst.cost - val[cur]; 
      rec(rec , dst , cur);
    }
  
  };
  dfs(dfs , 0);
  trc(parity);
  trc(val);
  ll mi = infLL , mii = infLL;
  rep(i , N){
    if(parity[i] == 0) amin(mi , val[i]);
    else amin(mii , val[i]);
  }
  mi = -mi;
  out(max(0LL , mii - mi - 1));


}

Measured memory_bytes: 35584