#include <bits/stdc++.h>
using namespace std;
const int inf = 2000000000;
const long long infLL = 9000000000000000000;
template <typename first, typename second>
ostream& operator<<(ostream& os, const pair<first, second>& p) {
  return os << "(" << p.first << ", " << p.second << ")";
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
  os << "{";
  for (auto it = v.begin(); it != v.end(); ++it) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  return os << "}";
}
template <typename T>
ostream& operator<<(ostream& os, const set<T>& v) {
  os << "[";
  for (auto it = v.begin(); it != v.end(); ++it) {
    if (it != v.begin()) os << ",";
    os << *it;
  }
  return os << "]";
}
template <typename T>
ostream& operator<<(ostream& os, const multiset<T>& v) {
  os << "[";
  for (auto it = v.begin(); it != v.end(); ++it) {
    if (it != v.begin()) os << ", ";
    os << *it;
  }
  return os << "]";
}
template <typename first, typename second>
ostream& operator<<(ostream& os, const map<first, second>& v) {
  os << "[";
  for (auto it = v.begin(); it != v.end(); ++it) {
    if (it != v.begin()) os << ", ";
    os << it->first << " = " << it->second;
  }
  return os << "]";
}
void faltu() { cerr << '\n'; }
template <typename T>
void faltu(T a[], int n) {
  for (int i = 0; i < n; ++i) cerr << a[i] << ' ';
  cerr << '\n';
}
template <typename T, typename... hello>
void faltu(T arg, const hello&... rest) {
  cerr << arg << ' ';
  faltu(rest...);
}
const int mx = 2e5 + 5;
int n, c;
int a[mx], b[mx];
int dp[mx][2];
int recur(int pos, int f) {
  if (pos == 0) return 0;
  if (dp[pos][f] != -1) return dp[pos][f];
  int ret = 0;
  if (!f) {
    ret = a[pos - 1] + recur(pos - 1, 0);
    ret = min(ret, c + b[pos - 1] + recur(pos - 1, 1));
  } else {
    ret = a[pos - 1] + recur(pos - 1, 0);
    ret = min(ret, b[pos - 1] + recur(pos - 1, 1));
  }
  dp[pos][f] = ret;
  return ret;
}
int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  ;
  memset(dp, -1, sizeof(dp));
  cin >> n >> c;
  for (int i = 1; i < n; ++i) cin >> a[i];
  for (int i = 1; i < n; ++i) cin >> b[i];
  for (int i = 1; i <= n; ++i) cout << recur(i, 0) << " ";
  cout << '\n';
}
