#include<bits/stdc++.h>
#include<atcoder/all>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace atcoder;
using namespace __gnu_pbds;
using mint = modint998244353;
#define Yes(n) cout << ((n) ? "Yes" : "No"  ) << endl
#define print(var) std::cout<<#var<<"="<<(var)<<std::endl
#define all(a) (a).begin(), (a).end()
#define vi vector<int>
#define vvi vector<vi>
#define vvvi vector<vvi>
#define ll long long
#define vll vector<ll>
#define vvll vector<vll>
#define vvvll vector<vvll>
#define vvvvll vector<vvvll>
#define vmi vector<mint>
#define vvmi vector<vmi>
#define vvvmi vector<vvmi>
#define vvvvmi vector<vvvmi>
#define vvvvvmi vector<vvvvmi>
#define vs vector<string>
#define pii pair<int,int>
#define vpii vector<pii>
#define vvpii vector<vpii>
#define bit(x,i)(((x)>>(i))&1)
#define inf (1<<30)
#define INF (1ll<<60)
#define X first
#define Y second
template<typename T> inline bool chmax(T &a, T b) { return ((a < b) ? (a = b, true) : (false)); }
template<typename T> inline bool chmin(T &a, T b) { return ((a > b) ? (a = b, true) : (false)); }
template<class T, class F> T nibutan(T ok, T ng, const F &f){while(abs(ok-ng)>1){T mid = (ok+ng)/2;(f(mid)?ok:ng) = mid;}return ok;}
template<class T> vector<T> digit(T x){vector<T> res; while(x>0){res.push_back(x%10); x/=10;} return res;}
ostream& operator<<(ostream& os, const mint& x){ os << x.val(); return os; }
template<class T> istream &operator>>(istream &is, vector<T> &vec){ for(auto &v:vec) is >> v; return is; }
template<class T> void coutvector(vector<T> x){ for(int i=0;i<(int)x.size();i++){if(i>0) cout<<" ";cout<<x[i];}cout<<endl;}
using Set = tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>;
template<class S, class T> using Unordered_Map = gp_hash_table<S,T>;

#ifdef LOCAL
#include<dump.hpp>
CPP_DUMP_DEFINE_EXPORT_OBJECT(mint,val());
#else
#define cpp_dump
#endif

static uint32_t xor128(void){
    static uint32_t x=123456789,y=362436069,z=521288629,w=88675123;
    uint32_t t;
    t=(x^(x<<11));x=y;y=z;z=w; return( w=(w^(w>>19))^(t^(t>>8)) );
}
inline int randrange(int a){return (uint64_t(xor128()) * a >> 32); }
inline int randrange(int a, int b){ return randrange(b-a)+a; }
inline double randDouble(double a,double b){return a+(b-a)*xor128()/(double)ULONG_MAX;}

inline double get_time() {
    #ifdef ONLINE_JUDGE
    timeval tv; gettimeofday(&tv, NULL);
    return tv.tv_sec * 1e3 + tv.tv_usec * 1e-3;
    #else
    using namespace std::chrono;
    return duration_cast<milliseconds>(system_clock::now().time_since_epoch()).count();
    #endif
}
double start_time = get_time();
inline double elapsed(){ return get_time() - start_time; }

constexpr int N = 50;
constexpr int MOD = 100000000;
int a[N][N];

inline int diff(int x,int y){
    return min(abs(x-y),MOD-abs(x-y));
}

struct State{
    int c[N];
    State(){
        init();
    }
    
    int get_score(){
        int score = 0;
        int b[N],nb[N];
        for(int i=0;i<N;i++) b[i] = c[i];
        for(int i=N-1;i>=0;i--){
            for(int j=0;j<=i;j++){
                int diff = min(abs(a[i][j]-b[j]),MOD-abs(a[i][j]-b[j]));
                chmax(score,diff);
            }
            if(i>0){
                for(int j=0;j<i;j++){
                    nb[j] = (b[j]+b[j+1]);
                    if(nb[j]>=MOD) nb[j]-=MOD;
                }
                swap(b,nb);
            }
        }
        return score;
    }
    int move_sim(vi idx, vi x){
        vi old(idx.size());
        for(int i=0;i<idx.size();i++){
            old[i] = c[idx[i]];
            c[idx[i]] = x[i];
        }
        int score = get_score();
        for(int i=0;i<idx.size();i++){
            c[idx[i]] = old[i];
        }
        return score;
    }
    int move_sim(int i,int x){
        int old = c[i];
        c[i] = x;
        int score = get_score();
        c[i] = old;
        return score;
    }
    void move(int i, int x){
        c[i] = x;
        return;
    }
    void move(vi idx, vi x){
        for(int i=0;i<idx.size();i++){
            c[idx[i]] = x[i];
        }
        return;
    }
    void init(int top=-1){
        vvi b(N,vi(N));
        if(top==-1) b[0][0] = a[0][0];
        else b[0][0] = top;
        for(int i=1;i<N;i++){
            b[i][0] = 0;
            for(int j=1;j<=i;j++) b[i][j] = (b[i-1][j-1]-b[i][j-1]+MOD)%MOD;
            vi tmp;
            for(int j=0;j<=i;j++){
                if(j&1) tmp.push_back((b[i][j]-a[i][j]+MOD)%MOD);
                else tmp.push_back((a[i][j]-b[i][j]+MOD)%MOD);
            }
            sort(all(tmp));
            tmp.push_back(tmp.front()+MOD);
            int mx=-1,mid=0;
            for(int j=0;j<=i;j++){
                if(chmax(mx,tmp[j+1]-tmp[j])) mid = ((tmp[j+1]+tmp[j])/2 + MOD/2)%MOD;
            }
            b[i][0] = mid;
            for(int j=1;j<=i;j++) b[i][j] = (b[i-1][j-1]-b[i][j-1]+MOD)%MOD;
        }
        for(int i=0;i<N;i++) c[i] = b[N-1][i];
    }
    void out(){
        for(int i=0;i<N;i++){
            if(i>0) cout << " ";
            cout << c[i];
        } cout << endl;
    }
};

void in(){
    int tmp; cin>>tmp;
    for(int i=0;i<N;i++)for(int j=0;j<=i;j++){
        cin>>a[i][j];
    }
}

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    in();
    State state;
    int best_score = state.get_score();
    State best_state = state;
    int iter = 0;
    while(elapsed()<1950){
        int top = randrange(MOD);
        state.init(top);
        int next_score = state.get_score();
        if(chmin(best_score,next_score)){
            cerr << "score : " << best_score << endl;
            best_state = state;
        }
        iter++;
    }
    cerr << "score : " << best_score << endl;
    cerr << "true score : " << MOD/2 - best_score << endl;
    cerr << "total_iter : " << iter << endl;
    best_state.out();
}