#include <stdio.h>
int n, a[100001], r[100001], g[100001], m, i,s=0,t,j;
int main(void)
{
	
	scanf("%d%d", &n, &m);
	for (i = 0; i < n - 1; ++i)
		scanf("%d", &a[i]);
	for(i=0;i<n;++i)
		scanf("%d", &r[i]);
	for (i = 0; i < n; ++i)
		scanf("%d", &g[i]);
	s += m;
	for (i = 0; i < n; ++i)
	{
		t = s % (r[i] + g[i]);
		if (t >= g[i])
			s += r[i] + g[i] - t;
		printf("%d\n", s);
		if(i<n-1)
			s += a[i];
	}
	return 0;
}