#include using namespace std; using ll = long long; using VI = vector; using VL = vector; using VS = vector; using VB = vector; using VVB = vector>; using VVI = vector; using VVL = vector; using PII = std::pair; using VPII = std::vector>; using PLL = std::pair; using VPLL = std::vector>; using TI3 = std::tuple; using TI4 = std::tuple; using TL3 = std::tuple; using TL4 = std::tuple; #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 rep2(i, s, n) for (int i = (s); i < (int)(n); i++) #define rep3(i, s, n, d) for (int i = (s); i < (int)(n); i += (d)) #define allpt(v) (v).begin(), (v).end() #define allpt_c(v) (v).cbegin(), (v).cend() #define allpt_r(v) (v).rbegin(), (v).rend() #define allpt_cr(v) (v).crbegin(), (v).crend() const int mod1 = 1e9 + 7, mod2 = 998244353, mod3 = 1e9 + 9; const int mod = mod1; const ll inf = 1e18; const string wsp = " "; const string tb = "\t"; const string rt = "\n"; template void show1dvec(const vector &v) { if (v.size() == 0) return; int n = v.size() - 1; rep(i, n) cout << v[i] << wsp; cout << v[n] << rt; return; } template void show2dvec(const vector> &v) { int n = v.size(); rep(i, n) show1dvec(v[i]); } template void show1dpair(const vector> &v) { int n = v.size(); rep(i, n) cout << v[i].first << wsp << v[i].second << rt; return; } template void pairzip(const vector> &v, vector &t, vector &s) { int n = v.size(); rep(i, n) { t.push_back(v[i].first); s.push_back(v[i].second); } return; } template void maxvec(vector &v) { T s = v[0]; int n = v.size(); rep(i, n - 1) { if (s > v[i + 1]) { v[i + 1] = s; } s = v[i + 1]; } } template bool myfind(T t, S s) { return find(t.cbegin(), t.cend(), s) != t.cend(); } bool check(int y, int x, int h, int w) { return 0 <= y && y < h && 0 <= x && x < w; } template vector cumsum(const vector &v) { T s = 0; vector ret; rep(i, v.size()) { s += v[i]; s %= mod; ret.emplace_back(s); } return ret; } bool iskadomatsu(int a, int b, int c) { return (a != b && b != c && c != a) && ((a > b && b < c) || (a < b && b > c)); } VS split(string s, char c) { VS ret; string part; s += c; rep(i, s.length()) { if (s[i] == c) { ret.emplace_back(part); part = ""; } else if (s[i] != c) { part += s[i]; } } return ret; } string removezero(string &s) { string ret; for (auto z : s) if (z != '0') ret += z; return ret; } ll sumdigit(ll x) { ll ans{0}; while (x > 0) { ans += x % 10; x /= 10; } return ans; } template ll pow_mod(T p, S q, R mod = 1ll) { ll ret = 1, r = p; while (q) { if (q % 2) ret *= r, ret %= mod; r = (r * r) % mod, q /= 2; } return ret % mod; } template ll pow_no_mod(T p, S q) { ll ret = 1, r = p; while (q) { if (q % 2) ret *= r; r = (r * r), q /= 2; } return ret; } void make_frac_tables(VL &frac_list, VL &frac_inv_list) { rep(i, frac_list.size() - 1) { frac_list[i + 1] *= frac_list[i] * (i + 1); frac_list[i + 1] %= mod; frac_inv_list[i + 1] *= frac_inv_list[i] * pow_mod(i + 1, mod - 2, mod); frac_inv_list[i + 1] %= mod; } } ll comb(int a, int b, const VL &frac_list, const VL &frac_inv_list) { if (a < b) return 0; if (b < 0) return 0; ll ret = frac_list[a]; ret *= frac_inv_list[b]; ret %= mod; ret *= frac_inv_list[a - b]; ret %= mod; return ret; } vector shortest; vector>> connective; void djkstra(int x) { set search = {x}; set new_search; shortest[x] = 0; int v, d; while (!search.empty()) { for (auto i : search) { for (auto j : connective[i]) { v = j.first, d = j.second; if (shortest[v] > d + shortest[i]) { shortest[v] = d + shortest[i]; new_search.insert(v); } } } search.clear(); search = new_search; new_search.clear(); } } int main() { cin.tie(0); ios::sync_with_stdio(false); #ifdef DEBUG cout << "DEBUG MODE" << endl; ifstream in("input.txt"); //for debug cin.rdbuf(in.rdbuf()); //for debug #endif int n, m, k, s, g, a, b, c, d{0}; cin >> n >> m >> k >> s >> g; VVI nodes(n); map nodes2; vector corridors(m); rep(i, n) { nodes[i].emplace_back(1); nodes[i].emplace_back(k); } nodes[0].emplace_back(s); nodes[n - 1].emplace_back(g); rep(i, m) { cin >> a >> b >> c; nodes[a - 1].emplace_back(b); nodes[a].emplace_back(c); corridors[i] = (TI3){a, b, c}; } rep(i, n) { sort(allpt(nodes[i])); nodes[i].erase(unique(nodes[i].begin(), nodes[i].end()), nodes[i].end()); for (auto j : nodes[i]) { nodes2[(PII){i, j}] = d; d++; } } s = nodes2[(PII){0, s}]; g = nodes2[(PII){n - 1, g}]; shortest.resize(d); fill(allpt(shortest), inf); connective.resize(d); rep(i, n) rep(j, nodes[i].size() - 1) { auto p = nodes[i][j]; auto q = nodes[i][j + 1]; connective[nodes2[(PII){i, p}]].emplace_back((PII){nodes2[(PII){i, q}], abs(p - q)}); connective[nodes2[(PII){i, q}]].emplace_back((PII){nodes2[(PII){i, p}], abs(p - q)}); } rep(i, m) { auto [a, b, c] = corridors[i]; auto p = nodes2[(PII){a - 1, b}]; auto q = nodes2[(PII){a, c}]; connective[p].emplace_back((PII){q, 0}); } djkstra(s); cout << (shortest[g] == inf ? -1 : shortest[g]) << rt; return 0; }