//#pragma GCC optimize("O3") //#pragma GCC optimize("Ofast") //#pragma GCC optimize("unroll-loops") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include <bits/stdc++.h> using namespace std; namespace debug { template <class c> struct rge { c b, e; }; template <class c> rge<c> range(c i, c j) { return rge<c>{i, j}; } template <class c> char spk(...); template <class c> auto spk(c *a) -> decltype(cerr << *a, 0); struct stream { ~stream() { cerr << endl; } template <class c> typename enable_if<sizeof spk<c>(0) != 1, stream &>::type operator<<(c i) { cerr << boolalpha << i; return *this; } template <class c> typename enable_if<sizeof spk<c>(0) == 1, stream &>::type operator<<(c i) { return *this << range(begin(i), end(i)); } template <class a, class b> stream &operator<<(pair<a, b> p) { return *this << "(" << p.first << ", " << p.second << ")"; } template <class c> stream &operator<<(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; it++) *this << ", " + 2 * (it == d.b) << *it; return *this << "]"; } stream &_dbg(const string &s, int i, int b) { return *this; } template <class c, class... cs> stream &_dbg(const string &s, int i, int b, c arg, cs... args) { if (i == (int)(s.size())) return (*this << ": " << arg); b += (s[i] == '(') + (s[i] == '[') + (s[i] == '{') - (s[i] == ')') - (s[i] == ']') - (s[i] == '}'); return (s[i] == ',' && b == 0) ? (*this << ": " << arg << " ")._dbg(s, i + 1, b, args...) : (s[i] == ' ' ? *this : *this << s[i]) ._dbg(s, i + 1, b, arg, args...); } }; } // namespace debug #ifdef DEBUG #define dout debug::stream() #define dbg(...) \ ((dout << "line:" << __LINE__ << " >> ") \ ._dbg(#__VA_ARGS__, 0, 0, __VA_ARGS__)) #else #define dout #define dbg(...) #endif // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ struct Item { int mass; int cost; friend ostream &operator<<(ostream &f, const Item &i) { f << "Item{ mass: " << i.mass << ", cost: " << i.cost << "}"; return f; } }; vector<vector<Item>> items; struct Edge { int len; long long cost; friend ostream &operator<<(ostream &f, const Edge &e) { f << "Edge{ len: " << e.len << ", cost: " << e.cost << "}"; return f; } }; vector<Edge> edges; const long long INF = 1e18; void ComputeEdges(int k, int m) { array<vector<long long>, 2> dp; array<vector<bool>, 2> reachable; for (int i = 0; i < 2; i++) { dp[i].resize(m, INF); reachable[i].resize(m, false); } dp[0][0] = 0; reachable[0][0] = true; int curr_row = 0, next_row = 1; for (int color = 0; color < k; color++) { fill(dp[next_row].begin(), dp[next_row].end(), INF); fill(reachable[next_row].begin(), reachable[next_row].end(), false); for (const Item &item : items[color]) { for (int mass = 0; mass < m; mass++) { if (reachable[curr_row][mass]) { int new_mass = (mass + item.mass) % m; long long new_cost = dp[curr_row][mass] + item.cost; reachable[next_row][new_mass] = true; dp[next_row][new_mass] = min(dp[next_row][new_mass], new_cost); } } } swap(curr_row, next_row); } for (int mass = 0; mass < m; mass++) { if (reachable[curr_row][mass]) { edges.push_back({mass, dp[curr_row][mass]}); } } } vector<bool> vis; vector<long long> dist; int FindMin(int m) { int min_index = -1; for (int i = 0; i < m; i++) { if (vis[i]) continue; if (min_index == -1 || dist[i] < dist[min_index]) { min_index = i; } } return min_index; } void Dijkstra(int m) { vis.resize(m, false); dist.resize(m, INF); dist[0] = 0; for (int i = 0; i < m; i++) { int u = FindMin(m); if (u == -1 || dist[u] == INF) break; vis[u] = true; for (auto [l, c] : edges) { int v = (u + l) % m; long long new_dist = dist[u] + c; if (new_dist < dist[v]) { dist[v] = new_dist; } } } } int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); int n, k, m; cin >> n >> k >> m; items.resize(k); for (int i = 0; i < n; i++) { int color, mass, cost; cin >> color >> mass >> cost; items[color - 1].push_back({mass, cost}); } ComputeEdges(k, m); Dijkstra(m); for (int i = 0; i < m; i++) { if (!vis[i]) { cout << -1 << '\n'; } else { cout << dist[i] << '\n'; } } return 0; }
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 | //#pragma GCC optimize("O3") //#pragma GCC optimize("Ofast") //#pragma GCC optimize("unroll-loops") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include <bits/stdc++.h> using namespace std; namespace debug { template <class c> struct rge { c b, e; }; template <class c> rge<c> range(c i, c j) { return rge<c>{i, j}; } template <class c> char spk(...); template <class c> auto spk(c *a) -> decltype(cerr << *a, 0); struct stream { ~stream() { cerr << endl; } template <class c> typename enable_if<sizeof spk<c>(0) != 1, stream &>::type operator<<(c i) { cerr << boolalpha << i; return *this; } template <class c> typename enable_if<sizeof spk<c>(0) == 1, stream &>::type operator<<(c i) { return *this << range(begin(i), end(i)); } template <class a, class b> stream &operator<<(pair<a, b> p) { return *this << "(" << p.first << ", " << p.second << ")"; } template <class c> stream &operator<<(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; it++) *this << ", " + 2 * (it == d.b) << *it; return *this << "]"; } stream &_dbg(const string &s, int i, int b) { return *this; } template <class c, class... cs> stream &_dbg(const string &s, int i, int b, c arg, cs... args) { if (i == (int)(s.size())) return (*this << ": " << arg); b += (s[i] == '(') + (s[i] == '[') + (s[i] == '{') - (s[i] == ')') - (s[i] == ']') - (s[i] == '}'); return (s[i] == ',' && b == 0) ? (*this << ": " << arg << " ")._dbg(s, i + 1, b, args...) : (s[i] == ' ' ? *this : *this << s[i]) ._dbg(s, i + 1, b, arg, args...); } }; } // namespace debug #ifdef DEBUG #define dout debug::stream() #define dbg(...) \ ((dout << "line:" << __LINE__ << " >> ") \ ._dbg(#__VA_ARGS__, 0, 0, __VA_ARGS__)) #else #define dout #define dbg(...) #endif // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ struct Item { int mass; int cost; friend ostream &operator<<(ostream &f, const Item &i) { f << "Item{ mass: " << i.mass << ", cost: " << i.cost << "}"; return f; } }; vector<vector<Item>> items; struct Edge { int len; long long cost; friend ostream &operator<<(ostream &f, const Edge &e) { f << "Edge{ len: " << e.len << ", cost: " << e.cost << "}"; return f; } }; vector<Edge> edges; const long long INF = 1e18; void ComputeEdges(int k, int m) { array<vector<long long>, 2> dp; array<vector<bool>, 2> reachable; for (int i = 0; i < 2; i++) { dp[i].resize(m, INF); reachable[i].resize(m, false); } dp[0][0] = 0; reachable[0][0] = true; int curr_row = 0, next_row = 1; for (int color = 0; color < k; color++) { fill(dp[next_row].begin(), dp[next_row].end(), INF); fill(reachable[next_row].begin(), reachable[next_row].end(), false); for (const Item &item : items[color]) { for (int mass = 0; mass < m; mass++) { if (reachable[curr_row][mass]) { int new_mass = (mass + item.mass) % m; long long new_cost = dp[curr_row][mass] + item.cost; reachable[next_row][new_mass] = true; dp[next_row][new_mass] = min(dp[next_row][new_mass], new_cost); } } } swap(curr_row, next_row); } for (int mass = 0; mass < m; mass++) { if (reachable[curr_row][mass]) { edges.push_back({mass, dp[curr_row][mass]}); } } } vector<bool> vis; vector<long long> dist; int FindMin(int m) { int min_index = -1; for (int i = 0; i < m; i++) { if (vis[i]) continue; if (min_index == -1 || dist[i] < dist[min_index]) { min_index = i; } } return min_index; } void Dijkstra(int m) { vis.resize(m, false); dist.resize(m, INF); dist[0] = 0; for (int i = 0; i < m; i++) { int u = FindMin(m); if (u == -1 || dist[u] == INF) break; vis[u] = true; for (auto [l, c] : edges) { int v = (u + l) % m; long long new_dist = dist[u] + c; if (new_dist < dist[v]) { dist[v] = new_dist; } } } } int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); int n, k, m; cin >> n >> k >> m; items.resize(k); for (int i = 0; i < n; i++) { int color, mass, cost; cin >> color >> mass >> cost; items[color - 1].push_back({mass, cost}); } ComputeEdges(k, m); Dijkstra(m); for (int i = 0; i < m; i++) { if (!vis[i]) { cout << -1 << '\n'; } else { cout << dist[i] << '\n'; } } return 0; } |