#include <bits/stdc++.h> using namespace std; #define fwd(i, a, n) for (int i = (a); i < (n); i ++) #define rep(i, n) fwd(i, 0, n) #define all(X) begin(X), end(X) #define sz(X) ((int)X.size()) #define st first #define nd second #define pii pair<int, int> #define vi vector<int> #define ll long long #ifdef LOC auto &operator<<(auto &out, pair<auto, auto> a) { return out << "(" << a.st << ", " << a.nd << ")"; } auto &operator<<(auto &out, auto a) { out << "{"; for (auto b : a) out << b << ", "; return out << "}"; } void dump(auto... x) { ((cerr << x << ", "), ...) << '\n'; } #define debug(x...) cerr << __LINE__ << ": [" #x "]: ", dump(x) #else #define debug(...) 0 #endif const long long INF = 1e18; int32_t main() { ios_base::sync_with_stdio(0), cin.tie(0); int n, k, m; cin>>n>>k>>m; vector<vector<pair<int, int>>> jelly(k); rep(i, n){ int a, b, c; cin>>a>>b>>c; b %= m; a--; jelly[a].push_back({b, c}); } vector<long long> dp(2*m, INF); dp[0] = 0; rep(i, k){ for(int j = 2*m-1; j >= 0; j--){ long long x = INF; for(auto p : jelly[i]){ if(j - p.first >= 0){ x = min(x, dp[j-p.first] + p.second); } } dp[j] = x; } for(int j = m; j < 2*m; j++){ dp[j-m] = min(dp[j], dp[j-m]); dp[j] = INF; } } //debug(m); //debug(dp); dp[0] = INF; vector<pair<int, long long>> tab; rep(j, m){ if(dp[j] < INF)tab.push_back({j, dp[j]}); } int cnt = sz(tab); vector<long long> dist(m, INF); dist[0] = 0; priority_queue<pair<long long, int>, vector<pair<long long, int>>, greater<pair<long long, int>>> q; q.push({0, 0}); while(!q.empty()){ int v = q.top().nd; long long d= q.top().st; q.pop(); if(dist[v] == d){ rep(ind, cnt){ int u = (v + tab[ind].st)%m; if(d + tab[ind].nd < dist[u]){ dist[u] = d + tab[ind].nd; q.push({dist[u], u}); } } } } rep(i, m){ if(dist[i] < INF){ cout<<dist[i]<<"\n"; }else{ cout<<"-1\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 | #include <bits/stdc++.h> using namespace std; #define fwd(i, a, n) for (int i = (a); i < (n); i ++) #define rep(i, n) fwd(i, 0, n) #define all(X) begin(X), end(X) #define sz(X) ((int)X.size()) #define st first #define nd second #define pii pair<int, int> #define vi vector<int> #define ll long long #ifdef LOC auto &operator<<(auto &out, pair<auto, auto> a) { return out << "(" << a.st << ", " << a.nd << ")"; } auto &operator<<(auto &out, auto a) { out << "{"; for (auto b : a) out << b << ", "; return out << "}"; } void dump(auto... x) { ((cerr << x << ", "), ...) << '\n'; } #define debug(x...) cerr << __LINE__ << ": [" #x "]: ", dump(x) #else #define debug(...) 0 #endif const long long INF = 1e18; int32_t main() { ios_base::sync_with_stdio(0), cin.tie(0); int n, k, m; cin>>n>>k>>m; vector<vector<pair<int, int>>> jelly(k); rep(i, n){ int a, b, c; cin>>a>>b>>c; b %= m; a--; jelly[a].push_back({b, c}); } vector<long long> dp(2*m, INF); dp[0] = 0; rep(i, k){ for(int j = 2*m-1; j >= 0; j--){ long long x = INF; for(auto p : jelly[i]){ if(j - p.first >= 0){ x = min(x, dp[j-p.first] + p.second); } } dp[j] = x; } for(int j = m; j < 2*m; j++){ dp[j-m] = min(dp[j], dp[j-m]); dp[j] = INF; } } //debug(m); //debug(dp); dp[0] = INF; vector<pair<int, long long>> tab; rep(j, m){ if(dp[j] < INF)tab.push_back({j, dp[j]}); } int cnt = sz(tab); vector<long long> dist(m, INF); dist[0] = 0; priority_queue<pair<long long, int>, vector<pair<long long, int>>, greater<pair<long long, int>>> q; q.push({0, 0}); while(!q.empty()){ int v = q.top().nd; long long d= q.top().st; q.pop(); if(dist[v] == d){ rep(ind, cnt){ int u = (v + tab[ind].st)%m; if(d + tab[ind].nd < dist[u]){ dist[u] = d + tab[ind].nd; q.push({dist[u], u}); } } } } rep(i, m){ if(dist[i] < INF){ cout<<dist[i]<<"\n"; }else{ cout<<"-1\n"; } } return 0; } |