ELEVTRBL - Elevator Trouble

You are on your way to your first job interview as a program tester, and you are already late. The interview is in a skyscraper and you are currently in floor s, where you see an elevator. Upon entering the elevator, you learn that it has only two buttons, marked "UP u" and "DOWN d". You conclude that the UP-button takes the elevator u floors up (if there aren't enough floors, pressing the UP-button does nothing, or at least so you assume), whereas the DOWN-button takes you d stories down (or none if there aren't enough). Knowing that the interview is at floor g, and that there are only f floors in the building, you quickly decide to write a program that gives you the amount of button pushes you need to perform. If you simply cannot reach the correct floor, your program halts with the message "use the stairs".

Given input f, s, g, u and d (floors, start, goal, up, down), find the shortest sequence of button presses you must press in order to get from s to g, given a building of floors, or output "use the stairs" if you cannot get from s to g by the given elevator.

Input

The input will consist of one line, namely f s g u d, where 1 <= s, g <= f <= 1000000 and 0 <= u, d <= 1000000. The floors are one-indexed, i.e. if there are 10 stories, s and g be in [1; 10].

Output

You must reply with the minimum numbers of pushes you must make in order to get from s to g, or output "use the stairs" if it is impossible given the conguration of the elevator.

Example

Input:
10 1 10 2 1

Output:
6
Input:
100 2 1 1 0 

Output:
use the stairs

Added by:Krzysztof Lewko
Date:2011-10-06
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Nordic programming contest

hide comments
2022-01-22 17:21:32
Done with BFS in one go
2021-06-24 17:00:56
bfs ... n check for s==g tc : 11 ;)
2021-02-13 18:39:12
those who are getting TLE, you must check the size of arrays UwU...(give size very large , s.t. it is large enough to cover all the values...)
2020-12-31 17:49:33
AC in one go!!! bfs
2020-12-13 14:52:17
Thanks, @ak8325 :-)
2020-11-04 12:15:27
Don't know why no one is talking about simple use of DP in this question!
BTW ac in one go with DP!
2020-10-16 18:57:22
Exmple For TestCase 12 :
10 8 3 2 1

o/p -- 5


Last edit: 2023-05-19 15:38:46
2020-08-23 18:54:50
thanks @prateekpandey :)
2020-06-16 23:58:29
AC in one go. SImple bfs. No need to construct graph!
2020-06-16 19:07:46
SPOJ submission 26154741
Can somebody tell me why is it giving WA on test case 12
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