#pragma region preprocessor
#ifdef LOCAL
//*
    #define _GLIBCXX_DEBUG  // gcc
/*/
    #define _LIBCPP_DEBUG 0 // clang
//*/
    // #define __buffer_check__
#else
    #pragma GCC optimize("Ofast")
    // #define NDEBUG
#endif
#define __precision__ 15
#define __iostream_untie__ true
#include <bits/stdc++.h>
#include <ext/rope>

#ifdef LOCAL
    #include "dump.hpp"
    #define mesg(str) std::cerr << "[ " << __LINE__ << " : " << __FUNCTION__ << " ]  " << str << "\n"
#else
    #define dump(...) ((void)0)
    #define mesg(str) ((void)0)
#endif
#pragma endregion

#pragma region std-overload
namespace std
{
    // hash
    template <class T> size_t hash_combine(size_t seed, T const &key) { return seed ^ (hash<T>()(key) + 0x9e3779b9 + (seed << 6) + (seed >> 2)); }
    template <class T, class U> struct hash<pair<T, U>> { size_t operator()(pair<T, U> const &pr) const { return hash_combine(hash_combine(0, pr.first), pr.second); } };
    template <class tuple_t, size_t index = tuple_size<tuple_t>::value - 1> struct tuple_hash_calc { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(tuple_hash_calc<tuple_t, index - 1>::apply(seed, t), get<index>(t)); } };
    template <class tuple_t> struct tuple_hash_calc<tuple_t, 0> { static size_t apply(size_t seed, tuple_t const &t) { return hash_combine(seed, get<0>(t)); } };
    template <class... T> struct hash<tuple<T...>> { size_t operator()(tuple<T...> const &t) const { return tuple_hash_calc<tuple<T...>>::apply(0, t); } };
    // iostream
    template <class T, class U> istream &operator>>(istream &is, pair<T, U> &p) { return is >> p.first >> p.second; }
    template <class T, class U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << p.first << ' ' << p.second; }
    template <class tuple_t, size_t index> struct tupleis { static istream &apply(istream &is, tuple_t &t) { tupleis<tuple_t, index - 1>::apply(is, t); return is >> get<index>(t); } };
    template <class tuple_t> struct tupleis<tuple_t, SIZE_MAX> { static istream &apply(istream &is, tuple_t &t) { return is; } };
    template <class... T> istream &operator>>(istream &is, tuple<T...> &t) { return tupleis<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(is, t); }
    template <> istream &operator>>(istream &is, tuple<> &t) { return is; }
    template <class tuple_t, size_t index> struct tupleos { static ostream &apply(ostream &os, const tuple_t &t) { tupleos<tuple_t, index - 1>::apply(os, t); return os << ' ' << get<index>(t); } };
    template <class tuple_t> struct tupleos<tuple_t, 0> { static ostream &apply(ostream &os, const tuple_t &t) { return os << get<0>(t); } };
    template <class... T> ostream &operator<<(ostream &os, const tuple<T...> &t) { return tupleos<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(os, t); }
    template <> ostream &operator<<(ostream &os, const tuple<> &t) { return os; }
    template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> = nullptr>
    istream& operator>>(istream& is, Container &cont) { for(auto&& e : cont) is >> e; return is; }
    template <class Container, typename Value = typename Container::value_type, enable_if_t<!is_same<decay_t<Container>, string>::value, nullptr_t> = nullptr>
    ostream& operator<<(ostream& os, const Container &cont) { bool flag = 1; for(auto&& e : cont) flag ? flag = 0 : (os << ' ', 0), os << e; return os; }
} // namespace std
#pragma endregion

#pragma region config
namespace config
{
    const auto start_time{std::chrono::system_clock::now()};
    int64_t elapsed()
    {
        using namespace std::chrono;
        const auto end_time{std::chrono::system_clock::now()};
        return duration_cast<milliseconds>(end_time - start_time).count();
    }
    __attribute__((constructor)) void setup()
    {
        using namespace std;
        if(__iostream_untie__) ios::sync_with_stdio(false), cin.tie(nullptr);
                cout << fixed << setprecision(__precision__);
        #ifdef DEBUG
                freopen("debug.out","w",stdout);
                freopen("debug.err","w",stderr);
                if(!freopen("debug.in","r",stdin))
                {
                    cerr << "error: \"./debug.in\" not found.\n";
                    exit(EXIT_FAILURE);
                }
        #endif
        #ifdef stderr_path
                freopen(stderr_path, "a", stderr);
        #endif
        #ifdef LOCAL
                cerr << fixed << setprecision(__precision__) << boolalpha << "\n----- stderr at LOCAL -----\n\n";
                atexit([]{ cerr << "\n----- Exec time : " << elapsed() << " ms -----\n\n"; });
        #endif
        #ifdef __buffer_check__
                atexit([]{ ofstream cnsl("CON"); char bufc; if(cin >> bufc) cnsl << "\n\033[1;35mwarning\033[0m: buffer not empty.\n\n"; });
        #endif
    }
} // namespace config
#pragma endregion

#pragma region utility
// lambda wrapper for recursive method.
template <class lambda_type>
class fixed_point
{
    lambda_type func;
public:
    fixed_point(lambda_type &&f) : func(std::move(f)) {}
    template <class... Args> auto operator()(Args &&... args) const { return func(*this, std::forward<Args>(args)...); }
};
// read with std::cin.
template <class T = void>
struct read
{
    typename std::remove_const<T>::type value;
    template <class... types>
    read(types... args) : value(args...) { std::cin >> value; }
    operator T() const { return value; }
};
template <>
struct read<void>
{
    template <class T>
    operator T() const { T value; std::cin >> value; return value; }
};
// substitute y for x if x > y.
template <class T> inline bool chmin(T &x, const T &y) { return x > y ? x = y, true : false; }
// substitute y for x if x < y.
template <class T> inline bool chmax(T &x, const T &y) { return x < y ? x = y, true : false; }
// binary search on discrete range.
template <class iter_type, class pred_type>
iter_type binary(iter_type __ok, iter_type __ng, pred_type pred)
{
    assert(__ok != __ng);
    std::ptrdiff_t dist(__ng - __ok);
    while(std::abs(dist) > 1)
    {
        iter_type mid(__ok + dist / 2);
        if(pred(mid)) __ok = mid, dist -= dist / 2;
        else __ng = mid, dist /= 2;
    }
    return __ok;
}
// binary search on real numbers.
template <class pred_type>
long double binary(long double __ok, long double __ng, const long double eps, pred_type pred)
{
    assert(__ok != __ng);
    while(std::abs(__ok - __ng) > eps)
    {
        long double mid{(__ok + __ng) / 2};
        (pred(mid) ? __ok : __ng) = mid;
    }
    return __ok;
}
// trinary search on discrete range.
template <class iter_type, class comp_type>
iter_type trinary(iter_type __first, iter_type __last, comp_type comp)
{
    assert(__first < __last);
    std::ptrdiff_t dist(__last - __first);
    while(dist > 2)
    {
        iter_type __left(__first + dist / 3), __right(__first + dist * 2 / 3);
        if(comp(__left, __right)) __last = __right, dist = dist * 2 / 3;
        else __first = __left, dist -= dist / 3;
    }
    if(dist > 1 && comp(next(__first), __first)) ++__first;
    return __first;
}
// trinary search on real numbers.
template <class comp_type>
long double trinary(long double __first, long double __last, const long double eps, comp_type comp)
{
    assert(__first < __last);
    while(__last - __first > eps)
    {
        long double __left{(__first * 2 + __last) / 3}, __right{(__first + __last * 2) / 3};
        if(comp(__left, __right)) __last = __right;
        else __first = __left;
    }
    return __first;
}
// size of array.
template <class A, size_t N> size_t size(A (&array)[N]) { return N; }
// be careful that val is type-sensitive.
template <class T, class A, size_t N> void init(A (&array)[N], const T &val) { std::fill((T*)array, (T*)(array + N), val); }
#pragma endregion

#pragma region alias
using namespace std;
using i32 = int_least32_t; using i64 = int_least64_t; using u32 = uint_least32_t; using u64 = uint_least64_t;
using p32 = pair<i32, i32>; using p64 = pair<i64, i64>;
template <class T, class Comp = less<T>> using heap = priority_queue<T, vector<T>, Comp>;
template <class T> using hashset = unordered_set<T>;
template <class Key, class Value> using hashmap = unordered_map<Key, Value>;
using namespace __gnu_cxx;
#pragma endregion

#pragma region library

#include <cassert>
#include <functional>

template <class T = long long, class Comp = std::less<T>>
class Li_Chao_tree
{
    struct line
    {
        T slop, icpt;
        line *lch = nullptr, *rch = nullptr;
        bool del = false;
        ~line() { if(del) delete this; }
        line *swap(line &rhs) { std::swap(slop, rhs.slop); std::swap(icpt, rhs.icpt); return this; }
        T eval(const T x) const { return slop * x + icpt; }
    }; // struct line

    T lower, upper, eps;
    Comp comp;
    line *root = nullptr;

    static line *alloc(line ln)
    {
        static size_t len = 1;
        static line *use = new line[1], *end = (use->del = true, use + 1);
        if(use == end)
        {
            use = new line[len <<= 1];
            end = use + len;
            use->del = true;
        }
        return use++->swap(ln);
    }

    // // insert a line for the interval [l, r).
    line *insert(line *const p, const T l, const T r, line ln)
    {
        if(!p) return alloc(ln);
        bool lcmp = comp(ln.eval(l), p->eval(l));
        bool rcmp = comp(ln.eval(r - eps), p->eval(r - eps));
        if(lcmp == rcmp) return lcmp ? p->swap(ln) : p;
        if(r - l <= eps) return p;
        T mid = (l + r) / 2;
        if(comp(ln.eval(mid), p->eval(mid)))
        {
            p->swap(ln);
            lcmp = !lcmp;
        }
        if(lcmp) p->lch = insert(p->lch, l, mid, ln);
        else p->rch = insert(p->rch, mid, r, ln);
        return p;
    }

    // // insert a segment for the interval [l, r).
    line *insert(line *const p, const T l, const T r, line ln, const T s, const T t)
    {
        if(t - eps < l or r - eps < s) return p;
        T mid = (l + r) / 2;
        if(l < s or t < r)
        {
            p->lch = insert(p->lch, l, mid, ln, s, t);
            p->rch = insert(p->rch, mid, r, ln, s, t);
            return p;
        }
        if(!p) return alloc(ln);
        bool lcmp = comp(ln.eval(l), p->eval(l));
        bool rcmp = comp(ln.eval(r - eps), p->eval(r - eps));
        if(lcmp == rcmp) return lcmp ? p->swap(ln) : p;
        if(r - l <= eps) return p;
        if(comp(ln.eval(mid), p->eval(mid)))
        {
            p->swap(ln);
            lcmp = !lcmp;
        }
        if(lcmp) p->lch = insert(p->lch, l, mid, ln, s, t);
        else p->rch = insert(p->rch, mid, r, ln, s, t);
        return p;
    }

public:
    // domain set to be the interval [lower, upper).
    Li_Chao_tree(const T lower, const T upper, const T eps = 1, Comp comp = Comp())
        : lower(lower), upper(upper), eps(eps), comp(comp) {}

    bool empty() const { return !root; }

    // insert a line whose slope is p and inception is q.
    void insert(const T p, const T q) { root = insert(root, lower, upper, line{p, q}); }

    // insert a line(segment) whose slope is p, inception is q,
    // and domain is the interval [s, t).
    void insert(const T p, const T q, const T s, const T t) { if(s < t) root = insert(root, lower, upper, line{p, q}, s, t); }

    T get(const T x) const
    {
        assert(!empty());
        line *p = root;
        T l = lower, r = upper;
        T res = p->eval(x);
        while(p)
        {
            T nval = p->eval(x);
            if(comp(nval, res)) res = nval;
            if(r - l <= eps) return res;
            T mid = (l + r) / 2;
            if(x < mid)
            {
                p = p->lch;
                r = mid;
            }
            else
            {
                p = p->rch;
                l = mid;
            }
        }
        return res;
    }
}; // class Li_Chao_tree


#pragma endregion

struct solver; template <class> void main_(); int main() { main_<solver>(); }
template <class solver> void main_()
{
    unsigned t = 1;
#ifdef LOCAL
    t = 1;
#endif
    // t = -1; // infinite loop
    // cin >> t; // case number given

    while(t--) solver();
}


struct solver
{
    static constexpr i64 inf=1e17;

    struct dat
    {
        i64 x,y,pp;
    };

    struct dat2
    {
        i64 x,p;
        bool operator<(const dat2& rhs) const
        {
            return x<rhs.x;
        }
    };

    struct cht_monotone
    {
        struct line
        {
            i64 a, b;
            i64 eval(i64 x) const { return a*x+b; }
        };
        line lns[16];
        line *lp=lns,*rp=lp;
    public:
        void add(i64 a, i64 b)
        {
            while(rp>lp+1)
            {
                auto [a1,b1]=*(rp-1);
                auto [a2,b2]=*(rp-2);
                if((b-b1)*(a2-a)>(b-b2)*(a1-a)) break;
                --rp;
            }
            *rp++={a,b};
        }
        i64 get(i64 x)
        {
            assert(lp!=rp);
            while(rp>1+lp and lp->eval(x)>(lp+1)->eval(x)) lp++;
            return lp->eval(x);
        }
    };

    const int n;

    vector<i64> calc(vector<dat2> ci)
    {
        if(ci.empty()) return vector<i64>(n+1);

        sort(begin(ci), end(ci));
        const int nn=ci.size();

        i64 ps[16]={},pxs[16]={};
        for(int i=0; i<nn; i++)
        {
            ps[i]=ci[i].p;
            pxs[i]=ci[i].p*ci[i].x;
        }
        for(int i=1; i<nn; i++)
        {
            ps[i]+=ps[i-1];
            pxs[i]+=pxs[i-1];
        }

        vector<Li_Chao_tree<long long>> cht1(nn+1,{0,15101010});
        vector<Li_Chao_tree<long long>> cht2(nn+1,{0,15101010});
        cht1[0].insert(0,0);
        cht2[0].insert(0,0);
        for(int i=0; i<nn; i++)
        {
            auto [nx,np]=ci[i];
            const i64 cst1=(nx*ps[i]-pxs[i])*2;
            for(int c=0; c<=i; c++)
            {
                cht2[c+1].insert(-nx, cht1[c].get(nx)+cst1);
            }
            const i64 cst2=pxs[i]*2;
            for(int c=0; c<=i+1; c++)
            {
                cht1[c].insert(-ps[i], cht2[c].get(ps[i])+cst2);
            }
        }

        vector<i64> res(n+1,inf);
        for(int c=0; c<=nn; c++)
        {
            res[c]=cht2[c].get(ps[nn-1])+pxs[nn-1];
        }
        return res;
    };

    void conv(i64 (&a)[16], const vector<i64> &b)
    {
        assert((int)b.size()>n);
        for(int i=n; i>=0; i--)
        {
            a[i]+=b[0];
            for(int j=0; j<i; j++)
            {
                chmin(a[i], a[j]+b[i-j]);
            }
        }
    }

    solver() : n(read())
    {
        vector<dat> cty(n);
        for(auto& [x,y,pp]: cty) cin>>x>>y>>pp;

        vector<i64> ans(n+1,inf);

        for(int s=0; s<1<<n; s++)
        {
            vector<dat2> xctp,xctn,yctp,yctn;
            for(int i=0; i<n; i++)
            {
                auto [nx,ny,np]=cty[i];
                if(s>>i&1)
                {
                    if(nx<0) xctn.push_back({-nx,np});
                    else xctp.push_back({nx, np});
                }
                else
                {
                    if(ny<0) yctn.push_back({-ny,np});
                    else yctp.push_back({ny, np});
                }
            }

            i64 res[16]={};
            conv(res, calc(xctp));
            conv(res, calc(xctn));
            conv(res, calc(yctp));
            conv(res, calc(yctn));

            for(int i=0; i<=n; i++) chmin(ans[i], res[i]);
        }

        for(i64 x: ans) cout<<x<<endl;
    }
};


Measured memory_bytes: 331304