#pragma GCC optimize("Ofast") #pragma GCC target("avx2") #define rd_init() char*rp=({char*mmap();mmap(0l,1l<<25,1,2,0,0ll);}) #define rd() ({int _v=0,_c;while(_c=*rp++-48,_c>=0)_v=_v*10+_c;_v;}) #define WTHI(v) {unsigned _z=v,_n=0;long _d=0;while(++_n,_d=_d<<8|0x30|_z%10,_z/=10);*(long*)wp=_d;wp+=_n;} #define WTLO(v) {unsigned _z=v,_n=8;long _d=0;while(_d=_d<<8|0x30|_z%10,_z/=10,--_n);*(long*)wp=_d;wp+=8;} #define wt(v) ({ulong _v=v;if(_v>=100000000){if(_v>=10000000000000000l){WTHI(_v/10000000000000000l);WTLO(_v/100000000%100000000);}else WTHI(_v/100000000);WTLO(_v%100000000);}else{WTHI(_v);}}) typedef unsigned long ulong; char wbuf[1<<25]; inline int is_coprime(int a,int b){ if(!((a|b)&1)) return 0; a>>=__builtin_ctz(a); b>>=__builtin_ctz(b); int c; while(c=a-b){ c>>=__builtin_ctz(c); if(c<0){ b=-c; }else{ a=c; } } return a==1; } int main(){ char*wp=wbuf; rd_init(); for(int q=rd();q--;){ int x=rd(); int n=rd(); int d=rd(); if(is_coprime(x,d)){ if(x==1){ *wp++='-'; *wp++='1'; }else{ wt((ulong)x*((unsigned)(x-2)/(unsigned)n+d)-d); } }else{ *wp++='i'; *wp++='n'; *wp++='f'; } *wp++='\n'; } write(1,wbuf,wp-wbuf); _exit(0); }