Package for this problem was not updated by the problem writer or Codeforces administration after we’ve upgraded the judging servers. To adjust the time limit constraint, solution execution time will be multiplied by 2. For example, if your solution works for 400 ms on judging servers, then value 800 ms will be displayed and used to determine the verdict.

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

D. Prizes, Prizes, more Prizes

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVasya, like many others, likes to participate in a variety of sweepstakes and lotteries. Now he collects wrappings from a famous chocolate bar "Jupiter". According to the sweepstake rules, each wrapping has an integer written on it — the number of points that the participant adds to his score as he buys the bar. After a participant earns a certain number of points, he can come to the prize distribution center and exchange the points for prizes. When somebody takes a prize, the prize's cost is simply subtracted from the number of his points.

Vasya didn't only bought the bars, he also kept a record of how many points each wrapping cost. Also, he remembers that he always stucks to the greedy strategy — as soon as he could take at least one prize, he went to the prize distribution centre and exchanged the points for prizes. Moreover, if he could choose between multiple prizes, he chose the most expensive one. If after an exchange Vasya had enough points left to get at least one more prize, then he continued to exchange points.

The sweepstake has the following prizes (the prizes are sorted by increasing of their cost):

- a mug (costs
*a*points), - a towel (costs
*b*points), - a bag (costs
*c*points), - a bicycle (costs
*d*points), - a car (costs
*e*points).

Now Vasya wants to recollect what prizes he has received. You know sequence *p*_{1}, *p*_{2}, ..., *p*_{n}, where *p*_{i} is the number of points Vasya got for the *i*-th bar. The sequence of points is given in the chronological order. You also know numbers *a*, *b*, *c*, *d*, *e*. Your task is to find, how many prizes Vasya received, what prizes they are and how many points he's got left after all operations are completed.

Input

The first line contains a single integer *n* (1 ≤ *n* ≤ 50) — the number of chocolate bar wrappings that brought points to Vasya. The second line contains space-separated integers *p*_{1}, *p*_{2}, ..., *p*_{n} (1 ≤ *p*_{i} ≤ 10^{9}). The third line contains 5 integers *a*, *b*, *c*, *d*, *e* (1 ≤ *a* < *b* < *c* < *d* < *e* ≤ 10^{9}) — the prizes' costs.

Output

Print on the first line 5 integers, separated by a space — the number of mugs, towels, bags, bicycles and cars that Vasya has got, respectively. On the second line print a single integer — the number of points Vasya will have left after all operations of exchange are completed.

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.

Examples

Input

3

3 10 4

2 4 10 15 20

Output

1 1 1 0 0

1

Input

4

10 4 39 2

3 5 10 11 12

Output

3 0 1 0 3

0

Note

In the first sample Vasya gets 3 points after eating the first chocolate bar. Then he exchanges 2 points and gets a mug. Vasya wins a bag after eating the second chocolate bar. Then he wins a towel after eating the third chocolate bar. After all chocolate bars 3 - 2 + 10 - 10 + 4 - 4 = 1 points remains.

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Mar/31/2020 05:40:00 (i3).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|