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Commuter Train

Time limit1sMemory limit1024 MB

Summary
Given the city and suburb station ranges on a train line, decide which fare applies to a trip from station s to station t.
Level

Easy1 of 10

Topics
Implementation
Solved
No attempts yet

Problem

The capital of Flatland has opened a new city commuter train line. The line has nn stations, numbered from 1 to nn. It runs through the city along its diameter and extends into the suburbs at both ends. Stations 1 through aa are in the suburbs, stations a+1a+1 through b−1b-1 are in the city, and stations bb through nn are in the suburbs.

The fare depends on the starting station, the ending station, and the stations the passenger travels through.

  • If both the starting and ending stations are in the city, the "City" fare applies.
  • If both stations are in the suburbs and the train does not pass through the city between them, the "Outside" fare applies.
  • Otherwise, the "Full" fare applies.

Given the starting station ss and the ending station tt, write a program that determines which fare to apply.

Input

The first line contains three integers nn, aa, and bb (3≤n≤1093 \le n \le 10^9, 1≤a1 \le a, b≤nb \le n, b−a>1b - a > 1).

The second line contains two integers ss and tt (1≤s,t≤n1 \le s, t \le n, s≠ts \ne t).

Output

If the "City" fare applies, print City.

If the "Outside" fare applies, print Outside.

If the "Full" fare applies, print Full.

Examples3

  1. Example 1

    Input
    20 8 16
    1 4
    
    Expected output
    Outside
    
  2. Example 2

    Input
    20 8 16
    9 11
    
    Expected output
    City
    
  3. Example 3

    Input
    20 8 16
    2 11
    
    Expected output
    Full