#include <bits/stdc++.h> using namespace std; #define ll long long #define rng(i,a,b) for(int i=int(a);i<int(b);i++) #define rep(i,b) rng(i,0,b) typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<vvi> vvvi; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<vvl> vvvl; typedef pair<int,int> ii; template<class t> using vc=vector<t>; template<class t> using vvc=vc<vc<t>>; const int MOD = 998244353; ll read(){ ll i; cin>>i; return i; } vi readvi(int n,int off=0,int shift=0){ vi v(n+shift); rep(i,shift)v[i]=0; rep(i,n)v[i+shift]=read()+off; return v; } void YesNo(bool condition, bool do_exit=true) { if (condition) cout << "Yes" << endl; else cout << "No" << endl; if (do_exit) exit(0); } int main(void ) { ios::sync_with_stdio(false); cin.tie(NULL); int n, k, m; cin >> n >> k >> m; vvi masa(k); vvl cena(k); rep(i,n) { int ki,mi,ci; cin >> ki >> mi >> ci; --ki; masa[ki].push_back(mi % m); cena[ki].push_back(ci); } const ll MAX_CENA = 1e9; const ll INFTY = std::numeric_limits<ll>::max(); vvl dp (k, vl(m, INFTY)); // faza 1: obliczamy dp[i][r] == minimalna cena dla kolorów 0..i, o całk masie przystającej do r. rep(j,masa[0].size()) dp[0][masa[0][j]] = min(dp[0][masa[0][j]], cena[0][j]); rng(i,1,k) rep(r,m) if (dp[i-1][r] < INFTY) rep(j,masa[i].size()) dp[i][(r + masa[i][j]) % m] = min(dp[i][(r + masa[i][j]) % m], dp[i-1][r] + cena[i][j]); vl cena_paczki = dp[k-1]; cena_paczki[0] = 0; vector<bool> sprawdz_wiel(m, true); rng(i,1,m) if (sprawdz_wiel[i] and cena_paczki[i] < INFTY) rng(j,2,1+lcm(i,m)/i) if (j*cena_paczki[i] < cena_paczki[(i*j)%m]) { cena_paczki[(i * j) % m] = j * cena_paczki[i]; sprawdz_wiel[(i * j) % m] = false; } vvl dp2(m,vl(m, INFTY)); dp2[0][0] = 0; rng(i,1,m) { dp2[i] = dp2[i - 1]; if (cena_paczki[i] < INFTY) rng(j, 0, m) if (dp2[i - 1][j] < INFTY) dp2[i][(j+i)%m] = min(dp2[i][(j+i)%m], dp2[i - 1][j] + cena_paczki[i]); } rep(i,m) if (dp2[m-1][i] == INFTY) cout << -1 << "\n"; else cout << dp2[m-1][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 | #include <bits/stdc++.h> using namespace std; #define ll long long #define rng(i,a,b) for(int i=int(a);i<int(b);i++) #define rep(i,b) rng(i,0,b) typedef vector<int> vi; typedef vector<vi> vvi; typedef vector<vvi> vvvi; typedef vector<ll> vl; typedef vector<vl> vvl; typedef vector<vvl> vvvl; typedef pair<int,int> ii; template<class t> using vc=vector<t>; template<class t> using vvc=vc<vc<t>>; const int MOD = 998244353; ll read(){ ll i; cin>>i; return i; } vi readvi(int n,int off=0,int shift=0){ vi v(n+shift); rep(i,shift)v[i]=0; rep(i,n)v[i+shift]=read()+off; return v; } void YesNo(bool condition, bool do_exit=true) { if (condition) cout << "Yes" << endl; else cout << "No" << endl; if (do_exit) exit(0); } int main(void ) { ios::sync_with_stdio(false); cin.tie(NULL); int n, k, m; cin >> n >> k >> m; vvi masa(k); vvl cena(k); rep(i,n) { int ki,mi,ci; cin >> ki >> mi >> ci; --ki; masa[ki].push_back(mi % m); cena[ki].push_back(ci); } const ll MAX_CENA = 1e9; const ll INFTY = std::numeric_limits<ll>::max(); vvl dp (k, vl(m, INFTY)); // faza 1: obliczamy dp[i][r] == minimalna cena dla kolorów 0..i, o całk masie przystającej do r. rep(j,masa[0].size()) dp[0][masa[0][j]] = min(dp[0][masa[0][j]], cena[0][j]); rng(i,1,k) rep(r,m) if (dp[i-1][r] < INFTY) rep(j,masa[i].size()) dp[i][(r + masa[i][j]) % m] = min(dp[i][(r + masa[i][j]) % m], dp[i-1][r] + cena[i][j]); vl cena_paczki = dp[k-1]; cena_paczki[0] = 0; vector<bool> sprawdz_wiel(m, true); rng(i,1,m) if (sprawdz_wiel[i] and cena_paczki[i] < INFTY) rng(j,2,1+lcm(i,m)/i) if (j*cena_paczki[i] < cena_paczki[(i*j)%m]) { cena_paczki[(i * j) % m] = j * cena_paczki[i]; sprawdz_wiel[(i * j) % m] = false; } vvl dp2(m,vl(m, INFTY)); dp2[0][0] = 0; rng(i,1,m) { dp2[i] = dp2[i - 1]; if (cena_paczki[i] < INFTY) rng(j, 0, m) if (dp2[i - 1][j] < INFTY) dp2[i][(j+i)%m] = min(dp2[i][(j+i)%m], dp2[i - 1][j] + cena_paczki[i]); } rep(i,m) if (dp2[m-1][i] == INFTY) cout << -1 << "\n"; else cout << dp2[m-1][i] << "\n"; return 0; } |