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struct FastIO {
static const int S=1e6;
int wpos;
char wbuf[S];
FastIO() : wpos(0) {}
inline int gc(){
static char buf[S];
static int len=0,pos=0;
if(pos==len)
pos=0,len=fread(buf,1,S,stdin);
if(pos==len) return 0;
return buf[pos++];
}
inline void rd(int &x) {
int c=gc();x=0;
for(;c<=32;c=gc());
for (;isdigit(c);c=gc()) x=x*10+c-'0';
}
inline void wchar(int x)
{
if (wpos==S)
fwrite(wbuf,1,S,stdout),wpos=0;
wbuf[wpos++]=x;
}
inline void ot(int x,char cp)
{
static char s[30];
int nm=0;
for(;x || !nm;) s[nm++]='0'+x%10,x/=10;
for(--nm;~nm;--nm) wchar(s[nm]);
wchar(cp);
}
~FastIO()
{if (wpos) fwrite(wbuf,1,wpos,stdout),wpos=0;}
}io;