CF697A.Pineapple Incident

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题目描述

Ted has a pineapple. This pineapple is able to bark like a bulldog! At time tt (in seconds) it barks for the first time. Then every ss seconds after it, it barks twice with 11 second interval. Thus it barks at times tt , t+st+s , t+s+1t+s+1 , t+2st+2s , t+2s+1t+2s+1 , etc.

Barney woke up in the morning and wants to eat the pineapple, but he can't eat it when it's barking. Barney plans to eat it at time xx (in seconds), so he asked you to tell him if it's gonna bark at that time.

输入格式

The first and only line of input contains three integers tt , ss and xx ( 0<=t,x<=1090<=t,x<=10^{9} , 2<=s<=1092<=s<=10^{9} ) — the time the pineapple barks for the first time, the pineapple barking interval, and the time Barney wants to eat the pineapple respectively.

输出格式

Print a single "YES" (without quotes) if the pineapple will bark at time xx or a single "NO" (without quotes) otherwise in the only line of output.

输入输出样例

  • 输入#1

    3 10 4
    

    输出#1

    NO
    
  • 输入#2

    3 10 3
    

    输出#2

    YES
    
  • 输入#3

    3 8 51
    

    输出#3

    YES
    
  • 输入#4

    3 8 52
    

    输出#4

    YES
    

说明/提示

In the first and the second sample cases pineapple will bark at moments 33 , 1313 , 1414 , ..., so it won't bark at the moment 44 and will bark at the moment 33 .

In the third and fourth sample cases pineapple will bark at moments 33 , 1111 , 1212 , 1919 , 2020 , 2727 , 2828 , 3535 , 3636 , 4343 , 4444 , 5151 , 5252 , 5959 , ..., so it will bark at both moments 5151 and 5252 .

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