inline char nc()
{
    static char buf[100000],*p1=buf,*p2=buf;
    return p1==p2&&(p2=(p1=buf)+fread(buf,1,100000,stdin),p1==p2)?EOF:*p1++;
}
inline void read(ll &x){
    char ch=nc();x=0;
    while (!(ch>='0'&&ch<='9')) ch=
 
nc();
    while (ch>='0'&&ch<='9') x=(x<<3)+(x<<1)+ch-48,ch=nc();
}

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