#include <bits/stdc++.h>
using namespace std;
int Int() {
  int x;
  scanf("%d", &x);
  return x;
}
long long Long() {
  long long x;
  scanf("%lld", &x);
  return x;
}
void err(istream_iterator<string> it) { cout << endl; }
template <typename T, typename... Args>
void err(istream_iterator<string> it, T a, Args... args) {
  cerr << *it << " = " << a << ' ';
  err(++it, args...);
}
const int N = (int)2e5 + 5;
const int maxN = (int)1e6 + 6;
const long long Mod = (long long)1e9 + 7;
const int inf = (int)2e9;
const long long Inf = (long long)1e18;
long long dp[N][3];
int a[N], b[N];
int main() {
  int test = 1, tc = 0;
  while (test--) {
    int n = Int(), c = Int();
    for (int i = 1; i < n; ++i) {
      a[i] = Int();
    }
    for (int i = 1; i < n; ++i) {
      b[i] = Int();
    }
    dp[2][1] = a[1], dp[2][2] = c + b[1];
    for (int i = 3; i <= n; ++i) {
      dp[i][1] = min(dp[i - 1][1] + a[i - 1], dp[i - 1][2] + a[i - 1]);
      dp[i][2] = min(dp[i - 1][2] + b[i - 1], dp[i - 1][1] + b[i - 1] + c);
    }
    for (int i = 1; i <= n; ++i) {
      printf("%lld ", min(dp[i][1], dp[i][2]));
    }
  }
  return 0;
}
