#include<cstdio>
#include<iostream>
#include<algorithm>
#include<string>
#include<vector>
#include<cmath>
#include<queue>
#include<queue>
#include<stack>
#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef long long LL;
typedef unsigned long long ULL;
typedef long double LD;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
typedef vector<LL> VLL;
typedef vector<LD> VLD;
typedef vector<VLL > VVLL;
typedef vector<VLD > VVLD;
typedef vector<PII > VPII;
typedef __int128 int128;
template<class TIn>
using indexed_set = tree<
TIn, null_type, less<TIn>,
rb_tree_tag, tree_order_statistics_node_update>;
template<class T> using min_heap = priority_queue<T, vector<T>, greater<T>>;
#define FOR(x, b, e) for(int x=b; x<=(e); ++x)
#define FORD(x, b, e) for(int x=b; x>=(e); --x)
#define REP(x, n) for(int x=0; x<(n); ++x)
#define VAR(v, n) __typeof(n) v = (n)
#define ALL(c) (c).begin(), (c).end()
#define SIZE(x) ((int)(x).size())
#define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define PB push_back
#define ST first
#define ND second
#define THIS (*this)
#define LSB(x) (x & -x)
#define SQR(x) ((x)*(x))
const LL INF = 2e18;
int n, k, m;
vector<VPII > col;
VVLL memo;
LL dp(int i, int mi) {
if (i < 0) return mi == 0 ? 0 : INF;
if (memo[i][mi] != -1) return memo[i][mi];
LL ans = INF;
REP(j, col[i].size()) ans = min(ans, col[i][j].ND + dp(i - 1, (mi - col[i][j].ST + m) % m));
return memo[i][mi] = ans;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(NULL); cout.tie(NULL);
cin >> n >> k >> m;
col.resize(k);
REP(i, n) {
int ki, mi, ci; cin >> ki >> mi >> ci;
col[--ki].PB({mi % m, ci});
}
memo.assign(k, VLL(m, -1));
VLL ans(m);
min_heap<pair<LL, int> > q;
FOR(i, 1, m - 1) {
ans[i] = dp(k - 1, i);
if (ans[i] != INF) q.push({ans[i], i});
}
while (!q.empty()) {
auto [d, u] = q.top(); q.pop();
if (d > ans[u]) continue;
FOR(v, 1, m - 1) {
if (ans[v] == INF) continue;
int w = (u + v) % m;
if (ans[u] + ans[v] < ans[w]) {
ans[w] = ans[u] + ans[v];
q.push({ans[w], w});
}
}
}
REP(i, m) if (ans[i] == INF) cout << "-1\n"; else cout << ans[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 | #include<cstdio> #include<iostream> #include<algorithm> #include<string> #include<vector> #include<cmath> #include<queue> #include<queue> #include<stack> #include<bits/stdc++.h> #include<ext/pb_ds/assoc_container.hpp> #include<ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; typedef vector<int> VI; typedef vector<VI> VVI; typedef long long LL; typedef unsigned long long ULL; typedef long double LD; typedef pair<int, int> PII; typedef pair<LL, LL> PLL; typedef vector<LL> VLL; typedef vector<LD> VLD; typedef vector<VLL > VVLL; typedef vector<VLD > VVLD; typedef vector<PII > VPII; typedef __int128 int128; template<class TIn> using indexed_set = tree< TIn, null_type, less<TIn>, rb_tree_tag, tree_order_statistics_node_update>; template<class T> using min_heap = priority_queue<T, vector<T>, greater<T>>; #define FOR(x, b, e) for(int x=b; x<=(e); ++x) #define FORD(x, b, e) for(int x=b; x>=(e); --x) #define REP(x, n) for(int x=0; x<(n); ++x) #define VAR(v, n) __typeof(n) v = (n) #define ALL(c) (c).begin(), (c).end() #define SIZE(x) ((int)(x).size()) #define FOREACH(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define PB push_back #define ST first #define ND second #define THIS (*this) #define LSB(x) (x & -x) #define SQR(x) ((x)*(x)) const LL INF = 2e18; int n, k, m; vector<VPII > col; VVLL memo; LL dp(int i, int mi) { if (i < 0) return mi == 0 ? 0 : INF; if (memo[i][mi] != -1) return memo[i][mi]; LL ans = INF; REP(j, col[i].size()) ans = min(ans, col[i][j].ND + dp(i - 1, (mi - col[i][j].ST + m) % m)); return memo[i][mi] = ans; } int main() { ios_base::sync_with_stdio(0); cin.tie(NULL); cout.tie(NULL); cin >> n >> k >> m; col.resize(k); REP(i, n) { int ki, mi, ci; cin >> ki >> mi >> ci; col[--ki].PB({mi % m, ci}); } memo.assign(k, VLL(m, -1)); VLL ans(m); min_heap<pair<LL, int> > q; FOR(i, 1, m - 1) { ans[i] = dp(k - 1, i); if (ans[i] != INF) q.push({ans[i], i}); } while (!q.empty()) { auto [d, u] = q.top(); q.pop(); if (d > ans[u]) continue; FOR(v, 1, m - 1) { if (ans[v] == INF) continue; int w = (u + v) % m; if (ans[u] + ans[v] < ans[w]) { ans[w] = ans[u] + ans[v]; q.push({ans[w], w}); } } } REP(i, m) if (ans[i] == INF) cout << "-1\n"; else cout << ans[i] << '\n'; return 0; } |
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