import java.io.BufferedReader; import java.io.BufferedWriter; import java.io.Closeable; import java.io.FileInputStream; import java.io.FileWriter; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.BitSet; import java.util.HashMap; import java.util.List; import java.util.TreeMap; public class Main implements Runnable{ static ContestScanner in;static Writer out; public static void main(String[] args) { new Thread(null, new Main(), "", 16 * 1024 * 1024).start(); } public void run() { try { in = new ContestScanner(); out = new Writer(); Main solve = new Main(); solve.solve(); in.close(); out.flush(); out.close(); } catch (IOException e) { e.printStackTrace(); } } static void dump(int[]a){StringBuilder s=new StringBuilder();for(int i=0;i0){if((n&1)==1)r*=a;a*=a;n>>=1;}return r;} static String itob(int a,int l){return String.format("%"+l+"s",Integer.toBinaryString(a)).replace(' ','0');} static void sort(int[]a){m_sort(a,0,a.length,new int[a.length]);} static void sort(int[]a,int l){m_sort(a,0,l,new int[l]);} static void sort(int[]a,int l,int[]buf){m_sort(a,0,l,buf);} static void sort(int[]a,int s,int l,int[]buf){m_sort(a,s,l,buf);} static void m_sort(int[]a,int s,int sz,int[]b) {if(sz<7){for(int i=s;is&&a[j-1]>a[j];j--)swap(a, j, j-1);return;} m_sort(a,s,sz/2,b);m_sort(a,s+sz/2,sz-sz/2,b);int idx=s;int l=s,r=s+sz/2;final int le=s+sz/2,re=s+sz; while(la[r])b[idx++]=a[r++];else b[idx++]=a[l++];} while(rs&&a[j-1]>a[j];j--)swap(a, j, j-1);return;} m_sort(a,s,sz/2,b);m_sort(a,s+sz/2,sz-sz/2,b);int idx=s;int l=s,r=s+sz/2;final int le=s+sz/2,re=s+sz; while(la[r])b[idx++]=a[r++];else b[idx++]=a[l++];} while(rv)r=m-1;else{l=m+1;s=m;}}return s;} static int binarySearchSmallerMax(int[]a,int v,int l,int r) {int s=-1;while(l<=r){int m=(l+r)/2;if(a[m]>v)r=m-1;else{l=m+1;s=m;}}return s;} @SuppressWarnings("unchecked") static List[]createGraph(int n) {List[]g=new List[n];for(int i=0;i();return g;} void solve() throws IOException{ int n = in.nextInt(); int[] d = new int[n]; for(int i=0; i extends HashMap{ @Override public Integer get(Object key){return containsKey(key)?super.get(key):0;} public void add(T key,int v){put(key,get(key)+v);} public void add(T key){put(key,get(key)+1);} public void sub(T key){final int v=get(key);if(v==1)remove(key);else put(key,v-1);} public MultiSet merge(MultiSet set) {MultiSets,l;if(this.size()e:s.entrySet())l.add(e.getKey(),e.getValue());return l;} } @SuppressWarnings("serial") class OrderedMultiSet extends TreeMap{ @Override public Integer get(Object key){return containsKey(key)?super.get(key):0;} public void add(T key,int v){put(key,get(key)+v);} public void add(T key){put(key,get(key)+1);} public void sub(T key){final int v=get(key);if(v==1)remove(key);else put(key,v-1);} public OrderedMultiSet merge(OrderedMultiSet set) {OrderedMultiSets,l;if(this.size(){ int a,b;final int hash;Pair(int a,int b){this.a=a;this.b=b;hash=(a<<16|a>>16)^b;} public boolean equals(Object obj){Pair o=(Pair)(obj);return a==o.a&&b==o.b;} public int hashCode(){return hash;} public int compareTo(Pair o){if(a!=o.a)return a