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
124
125
126
127
128
129
130
131
132
/*
 * Opis: Główny nagłówek
 */
#include<bits/stdc++.h>
using namespace std;
using LL=long long;
#define FOR(i,l,r)for(int i=(l);i<=(r);++i)
#define REP(i,n)FOR(i,0,(n)-1)
#define ssize(x)int(x.size())
#ifdef DEBUG
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif

LL inf = (LL) 1e18 + 5;

struct DP {
	int m;
	vector<LL> new_vals, old_vals;
	bool saved = true;

	DP(int _m) {
		m = _m;
		new_vals.resize(m, inf);
		old_vals.resize(m, inf);
		old_vals[0] = new_vals[0] = 0;
	}

	void add(int x, LL v) {
		REP(i, m) {
			int j = (i + x) % m;
			new_vals[j] = min(new_vals[j], old_vals[i] + v);
		}
		saved = false;
	}

	void save() {
		if (!saved) {
			old_vals = new_vals;
			saved = true;
		}
	}

	void clear() {
		fill(new_vals.begin(), new_vals.end(), inf);
	}

	void process(int x) {
		LL v = old_vals[x];
		int g = __gcd(x, m);
		REP(i, g) {
			int curr = i;
			REP(j, m / g * 2) {
				int nxt = (curr + x) % m;
				old_vals[nxt] = min(old_vals[nxt], old_vals[curr] + v);
				curr = nxt;
			}
		}
	}

	void prepare() {
		REP(i, m) {
			if (old_vals[i] >= inf) {
				old_vals[i] = -1;
			}
		}
	}
};

struct Data {
	int k, m, c;
};

bool operator<(Data &a, Data &b) {
	return tie(a.k, a.m, a.c) < tie(b.k, b.m, b.c);
}

bool init_check(int k, vector<Data> &data) {
	int cnt = 0;
	vector<bool> used(k);
	for (auto p : data) {
		if (!used[p.k-1]) {
			cnt++;
		}
		used[p.k-1] = true;
	}
	return cnt == k;
}

int main() {
	cin.tie(0)->sync_with_stdio(0);
	int n, k, m;
	cin >> n >> k >> m;
	vector<Data> data(n);
	for (auto &d : data) {
		cin >> d.k >> d.m >> d.c;
	}
	if (!init_check(k, data)) {
		cout << 0 << "\n";
		REP(i, m-1) {
			cout << -1 << "\n";
		}
		return 0;
	}
	sort(data.begin(), data.end());
	int prv = 0;
	DP singles(m);
	for (auto &d : data) {
		if (d.k != prv) {
			singles.save();
			singles.clear();
			prv = d.k;
		}
		singles.add(d.m, d.c);
	}
	singles.save();
	singles.old_vals[0] = 0;
	debug(singles.old_vals);

	FOR(i, 1, m-1) {
		singles.process(i);
		debug(i, singles.old_vals);
	}
	singles.prepare();

	REP(i, m) {
		cout << singles.old_vals[i] << "\n";
	}
}