#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double db;
typedef pair<int,int> pii;
typedef vector<int> vi;
#define pb push_back
#define fi first
#define se second
#define rep(i,b,e) for(int i=(b); i<(e); i++)
#define each(a,x) for(auto &a : (x))
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
template <class T, class U> auto &operator<<(ostream &out, pair<T, U> a) { return out << "(" << a.first << ", " << a.second << ")"; }
template <class T, class = class enable_if<!is_same<T, string>(), class T::iterator>::type> auto &operator<<(ostream &out, T a) {
out << "{";
bool fi = 1;
for(auto b : a) {
if(fi) {out<<b; fi=0;}
else out<<", "<<b;
}
return out << "}";
}
void dump(){
cerr << "\e"<<"\n";
}
template <class T, class... Ts> void dump(T a, Ts... x) {
cerr << a << ", ";
dump(x...);
}
// #define debug(...) cerr << "\e"<<__func__<<":"<<__LINE__<<"\t"<<"[" #__VA_ARGS__ "]: ", dump(__VA_ARGS__)
#define debug(...) ;
const int N = 7050;
const ll INF = 1e18;
vector<pii> misie[N];
ll minKoszt[N],Prev[N],dp[N];
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
int n,k,m;
cin >> n >> k >> m;
rep(i,0,n){
int kolor,masa,koszt;
cin >> kolor >> masa >> koszt;
misie[kolor].pb({masa%m,koszt});
}
rep(i,0,m+5){
minKoszt[i] = INF;
dp[i] = INF;
}
minKoszt[0] = 0;
rep(kolor,1,k+1){
rep(i,0,m){
Prev[i] = minKoszt[i];
minKoszt[i] = INF;
}
each(mis,misie[kolor]){
auto &[masa,koszt] = mis;
rep(waga,0,m)
// if(Prev[(waga-masa+m)%m]<INF)
minKoszt[waga] = min({minKoszt[waga],minKoszt[waga], Prev[(waga-masa+m)%m]+koszt});
}
}
dp[0] = 0;
queue<pair<ll,int>> toAnalyze;
toAnalyze.push({0,0});
int smallest[m];
for(int i=0; i<m; ++i) smallest[i] = i;
sort(smallest,smallest+m,[](const int &a, const int &b){
return minKoszt[a]<minKoszt[b];
});
ll dist,x;
int V,Next;
while(!toAnalyze.empty()){
dist = -toAnalyze.front().first;
x = toAnalyze.front().second;
toAnalyze.pop();
if(dp[x]!=dist)
continue;
for(int i=0; i<m; ++i){
V = smallest[i];
if(minKoszt[V]>=INF) break;
Next = (x+V) - (x+V>=m)*m;
if(dp[x]+minKoszt[V] < dp[Next]){
dp[Next] = dp[x]+minKoszt[V];
toAnalyze.push({-dp[Next],Next});
}
// dp[Next] = min(dp[Next], dp[x]+minKoszt[V]);
}
}
rep(i,0,m)
cout << (dp[i]<INF ? dp[i] : -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 94 95 96 97 98 99 | #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef long double db; typedef pair<int,int> pii; typedef vector<int> vi; #define pb push_back #define fi first #define se second #define rep(i,b,e) for(int i=(b); i<(e); i++) #define each(a,x) for(auto &a : (x)) #define all(x) (x).begin(), (x).end() #define sz(x) (int)(x).size() template <class T, class U> auto &operator<<(ostream &out, pair<T, U> a) { return out << "(" << a.first << ", " << a.second << ")"; } template <class T, class = class enable_if<!is_same<T, string>(), class T::iterator>::type> auto &operator<<(ostream &out, T a) { out << "{"; bool fi = 1; for(auto b : a) { if(fi) {out<<b; fi=0;} else out<<", "<<b; } return out << "}"; } void dump(){ cerr << "\e"<<"\n"; } template <class T, class... Ts> void dump(T a, Ts... x) { cerr << a << ", "; dump(x...); } // #define debug(...) cerr << "\e"<<__func__<<":"<<__LINE__<<"\t"<<"[" #__VA_ARGS__ "]: ", dump(__VA_ARGS__) #define debug(...) ; const int N = 7050; const ll INF = 1e18; vector<pii> misie[N]; ll minKoszt[N],Prev[N],dp[N]; int main(){ ios_base::sync_with_stdio(0); cin.tie(0); int n,k,m; cin >> n >> k >> m; rep(i,0,n){ int kolor,masa,koszt; cin >> kolor >> masa >> koszt; misie[kolor].pb({masa%m,koszt}); } rep(i,0,m+5){ minKoszt[i] = INF; dp[i] = INF; } minKoszt[0] = 0; rep(kolor,1,k+1){ rep(i,0,m){ Prev[i] = minKoszt[i]; minKoszt[i] = INF; } each(mis,misie[kolor]){ auto &[masa,koszt] = mis; rep(waga,0,m) // if(Prev[(waga-masa+m)%m]<INF) minKoszt[waga] = min({minKoszt[waga],minKoszt[waga], Prev[(waga-masa+m)%m]+koszt}); } } dp[0] = 0; queue<pair<ll,int>> toAnalyze; toAnalyze.push({0,0}); int smallest[m]; for(int i=0; i<m; ++i) smallest[i] = i; sort(smallest,smallest+m,[](const int &a, const int &b){ return minKoszt[a]<minKoszt[b]; }); ll dist,x; int V,Next; while(!toAnalyze.empty()){ dist = -toAnalyze.front().first; x = toAnalyze.front().second; toAnalyze.pop(); if(dp[x]!=dist) continue; for(int i=0; i<m; ++i){ V = smallest[i]; if(minKoszt[V]>=INF) break; Next = (x+V) - (x+V>=m)*m; if(dp[x]+minKoszt[V] < dp[Next]){ dp[Next] = dp[x]+minKoszt[V]; toAnalyze.push({-dp[Next],Next}); } // dp[Next] = min(dp[Next], dp[x]+minKoszt[V]); } } rep(i,0,m) cout << (dp[i]<INF ? dp[i] : -1) << "\n"; return 0; } |
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