#include <bits/stdc++.h>
using namespace std;
using ll = long long;

const int MOD = 1e8;
const int N = 50;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

vector<vector<int>> A(N), B(N);
vector<int> base(N);

int mod(int x) { return ((x % MOD) + MOD) % MOD; }

int compute_error(int a, int b) {
    int diff = abs(a - b);
    return min(diff, MOD - diff);
}

void compute_pyramid() {
    for (int i = N - 2; i >= 0; --i) {
        for (int j = 0; j <= i; ++j) {
            B[i][j] = mod(B[i + 1][j] + B[i + 1][j + 1]);
        }
    }
}

int evaluate() {
    compute_pyramid();
    int max_error = 0;
    for (int i = 0; i < N; ++i) {
        for (int j = 0; j <= i; ++j) {
            max_error = max(max_error, compute_error(A[i][j], B[i][j]));
        }
    }
    return 5e7 - max_error;
}

void solve() {
    // 入力
    for (int i = 0; i < N; ++i) {
        A[i].resize(i + 1);
        B[i].resize(i + 1);
        for (int j = 0; j <= i; ++j) {
            cin >> A[i][j];
        }
    }
    
    // 初期解: 最下段の情報を考慮して設定
    for (int i = 0; i < N; ++i) base[i] = A[N-1][i];
    B[N-1] = base;
    int best_score = evaluate();
    vector<int> best_base = base;
    
    auto start_time = chrono::steady_clock::now();
    double TIME_LIMIT = 1.9; // 1.9秒で打ち切る
    double temperature = 1e6; // 初期温度を調整
    double decay = 0.995; // 減衰率を変更
    
    while (true) {
        auto now = chrono::steady_clock::now();
        double elapsed = chrono::duration<double>(now - start_time).count();
        if (elapsed > TIME_LIMIT) break;
        
        // 誤差が大きい部分を優先的に変更
        int idx = rng() % N;
        int old_value = base[idx];
        int change_range = max(1, int(temperature));
        base[idx] = mod(old_value + (rng() % (2 * change_range + 1)) - change_range);
        B[N-1] = base;
        
        int new_score = evaluate();
        int diff = new_score - best_score;
        if (diff > 0 || exp((double)diff / temperature) > uniform_real_distribution<>(0.0, 1.0)(rng)) {
            if (new_score > best_score) {
                best_score = new_score;
                best_base = base;
            }
        } else {
            base[idx] = old_value;
        }
        temperature *= decay;
    }
    
    // 最良の解を出力
    for (int i = 0; i < N; ++i) {
        cout << best_base[i] << " ";
    }
    cout << endl;
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    solve();
    return 0;
}