#include <bits/stdc++.h>using namespace std;int min (int x, int y){ return (x < y)? x : y; }int max (int x, int y){ return (x > y)? x : y; }int compare (const void *a, const void * b){int *x=(int*)a;int *y=(int*)b;return *x-*y;}void fastscan(unsigned long &x){x=0;bool cond=false;register int c;c=getchar();for (; (c>47 && c<58); c=getchar())x = x *10 + c - 48;}
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