#include <bits/stdc++.h>
using std::cin, std::cout, std::vector;
void init_io() {
cin.tie(nullptr);
std::ios::sync_with_stdio(false);
}
constexpr std::uint64_t infinite_cost = std::numeric_limits<std::uint64_t>::max() / 4;
struct Edge {
unsigned mass;
unsigned cost;
};
struct State {
std::uint64_t cost;
bool done;
};
class Graph {
public:
void read() {
cin >> num_edges >> num_colors >> mass_range;
edges_for_color.resize(num_colors);
for (unsigned i=0; i<num_edges; ++i) {
unsigned color;
Edge edge;
cin >> color >> edge.mass >> edge.cost;
--color;
if (edge.mass == mass_range) edge.mass = 0;
edges_for_color[color].push_back(edge);
}
}
// O(num_edges * mass_range)
void calc_big_edges() {
big_edges.assign(mass_range, infinite_cost);
big_edges[0] = 0;
vector<std::uint64_t> next_big_edges(mass_range);
for (const auto &edges : edges_for_color) {
next_big_edges.assign(mass_range, infinite_cost);
for (const auto edge : edges) {
unsigned new_mass = edge.mass;
for (const auto big_edge : big_edges) {
auto &next_big_edge = next_big_edges[new_mass];
next_big_edge = std::min(next_big_edge, big_edge + edge.cost);
++new_mass;
if (new_mass == mass_range) new_mass = 0;
}
}
big_edges.swap(next_big_edges);
}
}
// O(mass_range^2)
void solve() {
{
State initial;
initial.cost = infinite_cost;
initial.done = false;
states.assign(mass_range, initial);
}
states[0].cost = 0;
for (;;) {
unsigned best_mass = -1u;
std::uint64_t best_cost = infinite_cost;
for (unsigned mass = 0; mass < mass_range; ++mass) {
const State &state = states[mass];
if (!state.done && state.cost < best_cost) {
best_mass = mass;
best_cost = state.cost;
}
}
if (best_mass == -1u) break;
states[best_mass].done = true;
unsigned new_mass = best_mass;
for (const auto edge_cost : big_edges) {
auto &new_state = states[new_mass];
new_state.cost = std::min(new_state.cost, best_cost + edge_cost);
++new_mass;
if (new_mass == mass_range) new_mass = 0;
}
}
}
void print() const {
for (const auto &state : states) {
if (state.cost == infinite_cost) {
cout << "-1\n";
} else {
cout << state.cost << "\n";
}
}
}
private:
unsigned num_edges;
unsigned num_colors;
unsigned mass_range;
vector<vector<Edge>> edges_for_color;
// [mass] -> cost
vector<std::uint64_t> big_edges;
// [mass]
vector<State> states;
};
int main() {
init_io();
Graph graph;
graph.read();
graph.calc_big_edges();
graph.solve();
graph.print();
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 | #include <bits/stdc++.h> using std::cin, std::cout, std::vector; void init_io() { cin.tie(nullptr); std::ios::sync_with_stdio(false); } constexpr std::uint64_t infinite_cost = std::numeric_limits<std::uint64_t>::max() / 4; struct Edge { unsigned mass; unsigned cost; }; struct State { std::uint64_t cost; bool done; }; class Graph { public: void read() { cin >> num_edges >> num_colors >> mass_range; edges_for_color.resize(num_colors); for (unsigned i=0; i<num_edges; ++i) { unsigned color; Edge edge; cin >> color >> edge.mass >> edge.cost; --color; if (edge.mass == mass_range) edge.mass = 0; edges_for_color[color].push_back(edge); } } // O(num_edges * mass_range) void calc_big_edges() { big_edges.assign(mass_range, infinite_cost); big_edges[0] = 0; vector<std::uint64_t> next_big_edges(mass_range); for (const auto &edges : edges_for_color) { next_big_edges.assign(mass_range, infinite_cost); for (const auto edge : edges) { unsigned new_mass = edge.mass; for (const auto big_edge : big_edges) { auto &next_big_edge = next_big_edges[new_mass]; next_big_edge = std::min(next_big_edge, big_edge + edge.cost); ++new_mass; if (new_mass == mass_range) new_mass = 0; } } big_edges.swap(next_big_edges); } } // O(mass_range^2) void solve() { { State initial; initial.cost = infinite_cost; initial.done = false; states.assign(mass_range, initial); } states[0].cost = 0; for (;;) { unsigned best_mass = -1u; std::uint64_t best_cost = infinite_cost; for (unsigned mass = 0; mass < mass_range; ++mass) { const State &state = states[mass]; if (!state.done && state.cost < best_cost) { best_mass = mass; best_cost = state.cost; } } if (best_mass == -1u) break; states[best_mass].done = true; unsigned new_mass = best_mass; for (const auto edge_cost : big_edges) { auto &new_state = states[new_mass]; new_state.cost = std::min(new_state.cost, best_cost + edge_cost); ++new_mass; if (new_mass == mass_range) new_mass = 0; } } } void print() const { for (const auto &state : states) { if (state.cost == infinite_cost) { cout << "-1\n"; } else { cout << state.cost << "\n"; } } } private: unsigned num_edges; unsigned num_colors; unsigned mass_range; vector<vector<Edge>> edges_for_color; // [mass] -> cost vector<std::uint64_t> big_edges; // [mass] vector<State> states; }; int main() { init_io(); Graph graph; graph.read(); graph.calc_big_edges(); graph.solve(); graph.print(); } |
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