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

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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 x (in seconds), so he asked you to tell him if it's gonna bark at that time.

Input

The first and only line of input contains three integers t, s and x (0 ≤ t, x ≤ 109, 2 ≤ s ≤ 109) — the time the pineapple barks for the first time, the pineapple barking interval, and the time Barney wants to eat the pineapple respectively.

Output

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

Examples

Input

3 10 4


Output

NO


Input

3 10 3


Output

YES


Input

3 8 51


Output

YES


Input

3 8 52


Output

YES

Note

In the first and the second sample cases pineapple will bark at moments 3, 13, 14, ..., so it won't bark at the moment 4 and will bark at the moment 3.

In the third and fourth sample cases pineapple will bark at moments 3, 11, 12, 19, 20, 27, 28, 35, 36, 43, 44, 51, 52, 59, ..., so it will bark at both moments 51 and 52.
import java.io.File;import java.io.FileInputStream;import java.io.FileNotFoundException;
import java.io.IOException;import java.io.PrintStream;import java.io.PrintWriter;
import java.security.AccessControlException;import java.util.Arrays;import java.util.Collection;
import java.util.Comparator;import java.util.List;import java.util.Map;import java.util.Objects;
import java.util.Scanner;import java.util.TreeMap;import java.util.function.Function;
import java.util.stream.Collectors;import java.util.stream.IntStream;import java.util.stream.LongStream;
import java.util.stream.Stream;public class _p000697A {static public void main(final String[] args) 
throws IOException{p000697A._main(args);}
static private class p000697A extends Solver{public p000697A(){nameIn="in/900/p000697A.in"
;singleTest=true;}@Override public void solve()throws IOException{int t=sc.nextInt
();int s=sc.nextInt();int x=sc.nextInt();if(sc.hasNextLine()){sc.nextLine();}pw.
println(x<t || x>t && x<t+s ||(x-t)%s>1?"NO":"YES");}static public void _main(String
[]args)throws IOException{new p000697A().run();}}static private class Pair<K,V>{
private K k;private V v;public Pair(final K t,final V u){this.k=t;this.v=u;}public
 K getKey(){return k;}public V getValue(){return v;}}static private abstract class
 Solver{protected String nameIn=null;protected String nameOut=null;protected boolean
 singleTest=false;protected boolean preprocessDebug=false;protected boolean doNotPreprocess
=false;protected PrintStream debugPrintStream=null;protected Scanner sc=null;protected
 PrintWriter pw=null;final static String SPACE=" ";final static String SPACES="\\s+"
;private void process()throws IOException{if(!singleTest){int t=lineToIntArray()
[0];while(t-->0){solve();}}else{solve();}}abstract protected void solve()throws 
IOException;protected String[]lineToArray()throws IOException{return sc.nextLine
().trim().split(SPACES);}protected int[]lineToIntArray()throws IOException{return
 Arrays.stream(lineToArray()).mapToInt(Integer::valueOf).toArray();}protected long
[]lineToLongArray()throws IOException{return Arrays.stream(lineToArray()).mapToLong
(Long::valueOf).toArray();}protected void run()throws IOException{boolean done=false
;try{if(nameIn!=null && new File(nameIn).exists()){try(FileInputStream fis=new FileInputStream
(nameIn);PrintWriter pw0=select_output();){done=true;sc=new Scanner(fis);pw=pw0;
process();}}}catch(IOException ex){}catch(AccessControlException ex){}if(!done){
try(PrintWriter pw0=select_output();){sc=new Scanner(System.in);pw=pw0;process()
;}}}private PrintWriter select_output()throws FileNotFoundException{if(nameOut!=
null){return new PrintWriter(nameOut);}return new PrintWriter(System.out);}public
 static Map<Integer,List<Integer>>mapi(final int[]a){return IntStream.range(0,a.
length).collect(()->new TreeMap<Integer,List<Integer>>(),(res,i)->{if(!res.containsKey
(a[i])){res.put(a[i],Stream.of(i).collect(Collectors.toList()));}else{res.get(a[
i]).add(i);}},Map::putAll);}public static Map<Long,List<Integer>>mapi(final long
[]a){return IntStream.range(0,a.length).collect(()->new TreeMap<Long,List<Integer
>>(),(res,i)->{if(!res.containsKey(a[i])){res.put(a[i],Stream.of(i).collect(Collectors
.toList()));}else{res.get(a[i]).add(i);}},Map::putAll);}public static<T>Map<T,List
<Integer>>mapi(final T[]a){return IntStream.range(0,a.length).collect(()->new TreeMap
<T,List<Integer>>(),(res,i)->{if(!res.containsKey(a[i])){res.put(a[i],Stream.of(
i).collect(Collectors.toList()));}else{res.get(a[i]).add(i);}},Map::putAll);}public
 static<T>Map<T,List<Integer>>mapi(final T[]a,Comparator<T>cmp){return IntStream
.range(0,a.length).collect(()->new TreeMap<T,List<Integer>>(cmp),(res,i)->{if(!res
.containsKey(a[i])){res.put(a[i],Stream.of(i).collect(Collectors.toList()));}else
{res.get(a[i]).add(i);}},Map::putAll);}public static Map<Integer,List<Integer>>mapi
(final IntStream a){int[]i=new int[]{0};return a.collect(()->new TreeMap<Integer
,List<Integer>>(),(res,v)->{if(!res.containsKey(v)){res.put(v,Stream.of(i[0]).collect
(Collectors.toList()));}else{res.get(v).add(i[0]);}i[0]++;},Map::putAll);}public
 static Map<Long,List<Integer>>mapi(final LongStream a){int[]i=new int[]{0};return
 a.collect(()->new TreeMap<Long,List<Integer>>(),(res,v)->{if(!res.containsKey(v
)){res.put(v,Stream.of(i[0]).collect(Collectors.toList()));}else{res.get(v).add(
i[0]);}i[0]++;},Map::putAll);}public static<T>Map<T,List<Integer>>mapi(final Stream
<T>a,Comparator<T>cmp){int[]i=new int[]{0};return a.collect(()->new TreeMap<T,List
<Integer>>(cmp),(res,v)->{if(!res.containsKey(v)){res.put(v,Stream.of(i[0]).collect
(Collectors.toList()));}else{res.get(v).add(i[0]);}},Map::putAll);}public static
<T>Map<T,List<Integer>>mapi(final Stream<T>a){int[]i=new int[]{0};return a.collect
(()->new TreeMap<T,List<Integer>>(),(res,v)->{if(!res.containsKey(v)){res.put(v,
Stream.of(i[0]).collect(Collectors.toList()));}else{res.get(v).add(i[0]);}},Map::
putAll);}public static List<int[]>listi(final int[]a){return IntStream.range(0,a
.length).mapToObj(i->new int[]{a[i],i}).collect(Collectors.toList());}public static
 List<long[]>listi(final long[]a){return IntStream.range(0,a.length).mapToObj(i->
new long[]{a[i],i}).collect(Collectors.toList());}public static<T>List<Pair<T,Integer
>>listi(final T[]a){return IntStream.range(0,a.length).mapToObj(i->new Pair<T,Integer
>(a[i],i)).collect(Collectors.toList());}public static List<int[]>listi(final IntStream
 a){int[]i=new int[]{0};return a.mapToObj(v->new int[]{v,i[0]++}).collect(Collectors
.toList());}public static List<long[]>listi(final LongStream a){int[]i=new int[]
{0};return a.mapToObj(v->new long[]{v,i[0]++}).collect(Collectors.toList());}public
 static<T>List<Pair<T,Integer>>listi(final Stream<T>a){int[]i=new int[]{0};return
 a.map(v->new Pair<T,Integer>(v,i[0]++)).collect(Collectors.toList());}public static
 String join(final int[]a){return Arrays.stream(a).mapToObj(Integer::toString).collect
(Collectors.joining(SPACE));}public static String join(final long[]a){return Arrays
.stream(a).mapToObj(Long::toString).collect(Collectors.joining(SPACE));}public static
<T>String join(final T[]a){return Arrays.stream(a).map(v->Objects.toString(v)).collect
(Collectors.joining(SPACE));}public static<T>String join(final T[]a,final Function
<T,String>toString){return Arrays.stream(a).map(v->toString.apply(v)).collect(Collectors
.joining(SPACE));}public static<T>String join(final Collection<T>a){return a.stream
().map(v->Objects.toString(v)).collect(Collectors.joining(SPACE));}public static
<T>String join(final Collection<T>a,final Function<T,String>toString){return a.stream
().map(v->toString.apply(v)).collect(Collectors.joining(SPACE));}public static<T
>String join(final Stream<T>a){return a.map(v->Objects.toString(v)).collect(Collectors
.joining(SPACE));}public static<T>String join(final Stream<T>a,final Function<T,
String>toString){return a.map(v->toString.apply(v)).collect(Collectors.joining(SPACE
));}public static<T>String join(final IntStream a){return a.mapToObj(Integer::toString
).collect(Collectors.joining(SPACE));}public static<T>String join(final LongStream
 a){return a.mapToObj(Long::toString).collect(Collectors.joining(SPACE));}public
 static List<Integer>list(final int[]a){return Arrays.stream(a).mapToObj(Integer
::valueOf).collect(Collectors.toList());}public static List<Integer>list(final IntStream
 a){return a.mapToObj(Integer::valueOf).collect(Collectors.toList());}public static
 List<Long>list(final long[]a){return Arrays.stream(a).mapToObj(Long::valueOf).collect
(Collectors.toList());}public static List<Long>list(final LongStream a){return a
.mapToObj(Long::valueOf).collect(Collectors.toList());}public static<T>List<T>list
(final Stream<T>a){return a.collect(Collectors.toList());}public static<T>List<T
>list(final T[]a){return Arrays.stream(a).collect(Collectors.toList());}}}
