// ~~ icebear ~~
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
template<class T>
bool minimize(T &a, const T &b) {
if (a > b) return a = b, true;
return false;
}
template<class T>
bool maximize(T &a, const T &b) {
if (a < b) return a = b, true;
return false;
}
#define FOR(i,a,b) for(int i=(a); i<=(b); ++i)
#define FORR(i,a,b) for(int i=(a); i>=(b); --i)
#define REP(i, n) for(int i=0; i<(n); ++i)
#define RED(i, n) for(int i=(n)-1; i>=0; --i)
#define MASK(i) (1LL << (i))
#define BIT(S, i) (((S) >> (i)) & 1)
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define all(x) x.begin(), x.end()
#define task "icebear"
const int MOD = 1e9 + 7;
const int inf = 1e9 + 27092008;
const ll INF = 1e18 + 27092008;
const int N = 2e5 + 5;
int n, m;
vector<ii> G[N], adj[N];
int num[N], low[N], timer, dist[2][N];
int bridge;
stack<int> st;
void dfs(int u, int id) {
num[u] = low[u] = ++timer;
st.push(u);
for(ii x : adj[u]) {
int v, i; tie(v, i) = x;
if (i == id) continue;
if (num[v]) minimize(low[u], num[v]);
else {
dfs(v, i);
minimize(low[u], low[v]);
if (low[v] == num[v]) bridge++;
}
}
}
void dijkstra(int src, int dist[]) {
priority_queue<ii, vector<ii>, greater<ii>> Q;
FOR(i, 1, n) dist[i] = inf;
dist[src] = 0;
Q.push(mp(0, src));
while(!Q.empty()) {
int du, u; tie(du, u) = Q.top(); Q.pop();
if (du != dist[u]) continue;
for(ii x : G[u]) {
int v, w; tie(v, w) = x;
if (minimize(dist[v], dist[u] + w))
Q.push(mp(dist[v], v));
}
}
}
void init(void) {
cin >> n >> m;
FOR(i, 1, m) {
int u, v, w;
cin >> u >> v >> w;
G[u].pb(mp(v, w));
G[v].pb(mp(u, w));
}
}
void process(void) {
dijkstra(1, dist[0]);
dijkstra(n, dist[1]);
auto check = [&](int mid) {
FOR(i, 1, n) {
num[i] = low[i] = 0;
adj[i].clear();
}
st = stack<int>();
timer = bridge = 0;
int id = 0;
FOR(i, 1, n) for(ii x : G[i]) {
int v, w; tie(v, w) = x;
if (dist[0][i] + w + dist[1][v] <= mid) {
adj[i].pb(mp(v, id));
adj[v].pb(mp(i, id));
id++;
}
}
FOR(i, 1, n) if (!num[i])
dfs(i, -1);
return bridge;
};
int low = dist[0][n], high = 1e9, res = 0;
while(low <= high) {
int mid = (low + high) >> 1;
if (check(mid) == 0) res = mid, high = mid - 1;
else low = mid + 1;
}
cout << res << ' ' << check(res - 1) << '\n';
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int tc = 1;
// cin >> tc;
while(tc--) {
init();
process();
}
return 0;
}
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