#include <bits/stdc++.h> using namespace std; #define FOR(i, a, b) for(int i = (a); i <= (b); ++i) #define REP(i, n) for(int i = 0; i < (n); ++i) template<class T> int size(T && a) { return (int)(a.size()); } ostream& operator << (ostream &os, string str) { for(char c : str) os << c; return os; } template <class A, class B> ostream& operator << (ostream &os, const pair<A, B> &p) { return os << '(' << p.first << "," << p.second << ')'; } template <class T> auto operator << (ostream &os, T &&x) -> decltype(x.begin(), os) { os << '{'; for(auto it = x.begin(); it != x.end(); ++it) os << *it << (it == prev(x.end()) ? "" : " "); return os << '}'; } template <class T> ostream& operator << (ostream &os, vector<vector<T>> vec) { for(auto x : vec) os << "\n " << x; return os; } void dump() {} template <class T, class... Args> void dump(T &&x, Args... args) { cerr << x << "; "; dump(args...); } #ifdef DEBUG # define debug(x...) cerr << "[" #x "]: ", dump(x), cerr << '\n' #else # define debug(...) 0 #endif //-------------------------------------------------- const long long INF = (long long)(1e18); vector<long long> get_super_jellys(int m, const vector<vector<pair<int, int>>> &groups) { vector<long long> prev_dp(m, INF), dp(m, INF); dp[0] = 0; for (const auto &group : groups) { swap(prev_dp, dp); dp = vector<long long>(m, INF); for (const auto &[weight, price] : group) { REP (r, m) { dp[r] = min(dp[r], prev_dp[(m + r - weight) % m] + price); } } } return dp; } vector<long long> knapsack(int m, const vector<long long> &items) { vector<long long> dp(m, INF), prev_dp(m, INF); dp[0] = prev_dp[0] = 0; FOR (weight, 1, m - 1) { long long price = items[weight]; if (price == INF) continue; REP (r, m) dp[r] = min(dp[r], prev_dp[(m + r - weight) % m] + price); debug(dp); vector<bool> visited(m, false); REP (r, m) { if (visited[r]) continue; int start = r; visited[start] = true; for (int i = (start + weight) % m; i != start; i = (i + weight) % m) { visited[i] = true; if (dp[i] < dp[start]) start = i; } long long transition = dp[start] + price; for (int i = (start + weight) % m; i != start; i = (i + weight) % m) { dp[i] = min(dp[i], transition); transition = dp[i] + price; } debug(dp); } debug(weight, price, dp); prev_dp = dp; } return dp; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, k, m; cin >> n >> k >> m; vector<vector<pair<int, int>>> colors(k); REP (i, n) { int color, weight, price; cin >> color >> weight >> price; --color; colors[color].emplace_back(weight, price); } vector<long long> super_jellys = get_super_jellys(m, colors); debug(super_jellys); vector<long long> answer = knapsack(m, super_jellys); REP (i, m) cout << (answer[i] == INF ? -1 : answer[i]) << '\n'; }
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 | #include <bits/stdc++.h> using namespace std; #define FOR(i, a, b) for(int i = (a); i <= (b); ++i) #define REP(i, n) for(int i = 0; i < (n); ++i) template<class T> int size(T && a) { return (int)(a.size()); } ostream& operator << (ostream &os, string str) { for(char c : str) os << c; return os; } template <class A, class B> ostream& operator << (ostream &os, const pair<A, B> &p) { return os << '(' << p.first << "," << p.second << ')'; } template <class T> auto operator << (ostream &os, T &&x) -> decltype(x.begin(), os) { os << '{'; for(auto it = x.begin(); it != x.end(); ++it) os << *it << (it == prev(x.end()) ? "" : " "); return os << '}'; } template <class T> ostream& operator << (ostream &os, vector<vector<T>> vec) { for(auto x : vec) os << "\n " << x; return os; } void dump() {} template <class T, class... Args> void dump(T &&x, Args... args) { cerr << x << "; "; dump(args...); } #ifdef DEBUG # define debug(x...) cerr << "[" #x "]: ", dump(x), cerr << '\n' #else # define debug(...) 0 #endif //-------------------------------------------------- const long long INF = (long long)(1e18); vector<long long> get_super_jellys(int m, const vector<vector<pair<int, int>>> &groups) { vector<long long> prev_dp(m, INF), dp(m, INF); dp[0] = 0; for (const auto &group : groups) { swap(prev_dp, dp); dp = vector<long long>(m, INF); for (const auto &[weight, price] : group) { REP (r, m) { dp[r] = min(dp[r], prev_dp[(m + r - weight) % m] + price); } } } return dp; } vector<long long> knapsack(int m, const vector<long long> &items) { vector<long long> dp(m, INF), prev_dp(m, INF); dp[0] = prev_dp[0] = 0; FOR (weight, 1, m - 1) { long long price = items[weight]; if (price == INF) continue; REP (r, m) dp[r] = min(dp[r], prev_dp[(m + r - weight) % m] + price); debug(dp); vector<bool> visited(m, false); REP (r, m) { if (visited[r]) continue; int start = r; visited[start] = true; for (int i = (start + weight) % m; i != start; i = (i + weight) % m) { visited[i] = true; if (dp[i] < dp[start]) start = i; } long long transition = dp[start] + price; for (int i = (start + weight) % m; i != start; i = (i + weight) % m) { dp[i] = min(dp[i], transition); transition = dp[i] + price; } debug(dp); } debug(weight, price, dp); prev_dp = dp; } return dp; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, k, m; cin >> n >> k >> m; vector<vector<pair<int, int>>> colors(k); REP (i, n) { int color, weight, price; cin >> color >> weight >> price; --color; colors[color].emplace_back(weight, price); } vector<long long> super_jellys = get_super_jellys(m, colors); debug(super_jellys); vector<long long> answer = knapsack(m, super_jellys); REP (i, m) cout << (answer[i] == INF ? -1 : answer[i]) << '\n'; } |