#include #define rep(i, a, n) for(int i = a; i < n; i++) #define all(a) a.begin(), a.end() #define int long long #define chmax(x, y) x = max(x, y) #define chmin(x, y) x = min(x, y) using namespace std; typedef pair P; const int INF = 1e18; int n, m, k, s, t; vector

d[200010]; signed main(){ ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m >> k >> s >> t; assert(1 <= n && n <= 2*1e5); assert(0 <= m && m <= 2*1e5); assert(1 <= k && k <= 1e9); assert(1 <= s && s <= k); assert(1 <= t && t <= k); rep(i, 0, m){ int a, b, c; cin >> a >> b >> c; assert(1 <= a and a <= n - 1); assert(1 <= b and b <= k); assert(1 <= c and c <= k); a--; d[a].push_back(P(b, c)); } vector

pre; pre.push_back(P(s, 0)); d[n - 1].push_back(P(t, -1)); rep(i, 0, n){ vector

next; rep(j, 0, pre.size()){ if(next.size()){ P p = next.back(); if(p.second + abs(p.first - pre[j].first) <= pre[j].second){ continue; } } while(next.size()){ P p = next.back(); if(p.second > pre[j].second + abs(p.first - pre[j].first)){ next.pop_back(); }else{ next.push_back(pre[j]); break; } } if(next.size() == 0){ next.push_back(pre[j]); } } pre.clear(); rep(j, 0, d[i].size()){ int cost = INF; int idx = upper_bound(all(next), P(d[i][j].first, 0)) - next.begin(); if(idx != next.size()) chmin(cost, next[idx].second + abs(next[idx].first - d[i][j].first)); idx--; if(idx != -1) chmin(cost, next[idx].second + abs(next[idx].first - d[i][j].first)); pre.push_back(P(d[i][j].second, cost)); } sort(all(pre)); } cout << (pre[0].second == INF ? -1 : pre[0].second) << endl; }