MELE2 - ELEVATOR II

Edward works as an engineer for Non-trivial Elevators: Engineering, Research and Construction (NEERC). His new task is to design a brand new elevator for a skyscraper with h floors. Edward has an idée fixe: he thinks that four buttons are enough to control the movement of the elevator. His last proposal suggests the following four buttons:

  • Move a floors up.
  • Move b floors up.
  • Move c floors up.
  • Return to the first floor.

Initially, the elevator is on the first floor. A passenger uses the first three buttons to reach the floor she needs. If a passenger tries to move a, b or c floors up and there is no such floor (she attempts to move higher than the h-th floor), the elevator doesn’t move. To prove his plan worthy, Edward wants to know how many floors are actually accessible from the first floor via his elevator. Help him calculate this number.

Input

The first line of the input file contains one integer h — the height of the skyscraper (1 ≤ h ≤ 10^18). The second line contains three integers a, b and c — the parameters of the buttons (1 ≤ a, b, c ≤ 100000)

Output

Output one integer number — the number of floors that are reachable from the first floor.

Example

Input 1:
15
4 7 9

Output 1:
9
Input 2:
500000
160 96 111

Output 2:
498167
Input 3:
987654321987654321
99995 99997 99999

Output 3:
987654319487854318


Được gửi lên bởi:psetter
Ngày:2009-02-26
Thời gian chạy:1s
Giới hạn mã nguồn:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Ngôn ngữ cho phép:Tất cả ngoại trừ: C99 ERL GOSU JS-RHINO PERL6 PYPY RUST SED
Nguồn bài:NEERC 2007–2008

hide comments
2020-03-12 03:26:08
bài hay
2019-08-31 08:56:19
hình như test sai
2019-04-25 08:07:11
chục đấm AC =)) sợ trào mảng nên để LLONG_MAX/100 :V giới hạn to vào nha :D LLONG_MAX/2 là ngon r =((
2017-11-09 10:51:27
đọc đề nha đừng nhìn ví dụ :)))))))))
2017-11-08 15:15:42
hào sạch
2009-06-13 16:14:59 Mệt
Nhờ PS xem hộ bài em sai test nào với ạ. Em làm mãi mà vẫn wa :((
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