#include #define REP_(i, a_, b_, a, b, ...) \ for (int i = (a), END_##i = (b); i < END_##i; ++i) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define ALL(x) std::begin(x), std::end(x) using i64 = long long; template inline bool chmax(T &a, U b) { return a < b and ((a = std::move(b)), true); } template inline bool chmin(T &a, U b) { return a > b and ((a = std::move(b)), true); } template inline int ssize(const T &a) { return (int)std::size(a); } template std::istream &operator>>(std::istream &is, std::vector &a) { for (auto &x : a) is >> x; return is; } template std::ostream &operator<<(std::ostream &os, const std::pair &a) { return os << "(" << a.first << ", " << a.second << ")"; } template std::ostream &print_seq(const Container &a, std::string_view sep = " ", std::string_view ends = "\n", std::ostream &os = std::cout) { auto b = std::begin(a), e = std::end(a); for (auto it = std::begin(a); it != e; ++it) { if (it != b) os << sep; os << *it; } return os << ends; } template struct is_iterable : std::false_type {}; template struct is_iterable())), decltype(std::end(std::declval()))>> : std::true_type {}; template ::value && !std::is_same::value && !std::is_same::value>> std::ostream &operator<<(std::ostream &os, const T &a) { return print_seq(a, ", ", "", (os << "{")) << "}"; } #ifdef ENABLE_DEBUG #include "debug_dump.hpp" #else #define DUMP(...) #endif using namespace std; template struct Infinity { template constexpr operator T() const { static_assert(sign == 1 or not std::is_unsigned_v, "must be positive in an unsigned type"); if constexpr (std::numeric_limits::has_infinity) { return T(sign) * std::numeric_limits::infinity(); } else { return T(sign) * (std::numeric_limits::max() / T(2)); } } constexpr Infinity operator-() const { return {}; } template friend bool operator==(const T &x, const Infinity &y) { return x == T(y); } template friend bool operator!=(const T &x, const Infinity &y) { return x != T(y); } }; const Infinity<> INF; template using MinHeap = priority_queue, greater>; struct Edge { i64 cost; int to; }; struct State { i64 cost; int node; int count; }; bool operator>(const State &x, const State &y) { return x.cost > y.cost; } // Returns min distance from the source node to each node (if exists). void search(const vector> &g, int source, int goal, int K, i64 init_cost) { const int n = g.size(); auto mincost = vector(n, vector(K + 1, (i64)INF)); auto pre = vector(n, vector(K + 1, pair(-1, -1))); MinHeap que; auto push = [&](i64 cost, int node, int count, const State &st) -> bool { chmin(count, K); if (chmin(mincost[node][count], cost)) { pre[node][count] = pair(st.node, st.count); que.push({cost, node, count}); return true; } return false; }; assert(push(init_cost, source, 1, State{-1, -1, -1})); while (not que.empty()) { State cur = que.top(); que.pop(); if (cur.cost != mincost[cur.node][cur.count]) continue; if (cur.node == goal and cur.count >= K) break; for (const auto &e : g[cur.node]) { auto new_cost = cur.cost + e.cost; push(new_cost, e.to, min(cur.count + 1, K), cur); } } if (mincost[goal][K] == (i64)INF) { cout << "Impossible" << endl; return; } vector ans; int cur = goal, cnt = K; while (true) { ans.push_back(cur); auto [pnode, pcnt] = pre[cur][cnt]; // if (cur == source and cnt == 1) break; if (pnode == -1 and pcnt == -1) break; cur = pnode; cnt = pcnt; } reverse(ALL(ans)); for (auto &x : ans) ++x; cout << "Possible" << endl; cout << mincost[goal][K] << endl; cout << ans.size() << endl; print_seq(ans); } int main() { ios_base::sync_with_stdio(false), cin.tie(nullptr); i64 N, S, T, K, M; cin >> N >> S >> T >> K; --S, --T; vector X(N); cin >> X >> M; vector> g(N); REP(i, M) { i64 A, B, Y; cin >> A >> B >> Y; --A, --B; g[A].push_back({Y + X[B], (int)B}); } search(g, S, T, K, X[S]); }