#pragma GCC optimize ("Ofast") #include using namespace std; void *wmem; char memarr[96000000]; template inline S min_L(S a,T b){ return a<=b?a:b; } template inline void walloc1d(T **arr, int x, void **mem = &wmem){ static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1}; (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] ); (*arr)=(T*)(*mem); (*mem)=((*arr)+x); } inline int my_getchar_unlocked(){ static char buf[1048576]; static int s = 1048576; static int e = 1048576; if(s == e && e == 1048576){ e = fread_unlocked(buf, 1, 1048576, stdin); s = 0; } if(s == e){ return EOF; } return buf[s++]; } inline void rd(int &x){ int k; int m=0; x=0; for(;;){ k = my_getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline void rd(long long &x){ int k; int m=0; x=0; for(;;){ k = my_getchar_unlocked(); if(k=='-'){ m=1; break; } if('0'<=k&&k<='9'){ x=k-'0'; break; } } for(;;){ k = my_getchar_unlocked(); if(k<'0'||k>'9'){ break; } x=x*10+k-'0'; } if(m){ x=-x; } } inline int rd_int(void){ int x; rd(x); return x; } struct MY_WRITER{ char buf[1048576]; int s; int e; MY_WRITER(){ s = 0; e = 1048576; } ~MY_WRITER(){ if(s){ fwrite_unlocked(buf, 1, s, stdout); } } } ; MY_WRITER MY_WRITER_VAR; void my_putchar_unlocked(int a){ if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){ fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout); MY_WRITER_VAR.s = 0; } MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a; } inline void wt_L(char a){ my_putchar_unlocked(a); } inline void wt_L(long long x){ int s=0; int m=0; char f[20]; if(x<0){ m=1; x=-x; } while(x){ f[s++]=x%10; x/=10; } if(!s){ f[s++]=0; } if(m){ my_putchar_unlocked('-'); } while(s--){ my_putchar_unlocked(f[s]+'0'); } } template int Factor_L(T N, T fac[], int fs[]){ T i; int sz = 0; if(N%2==0){ fac[sz] = 2; fs[sz] = 1; N /= 2; while(N%2==0){ N /= 2; fs[sz]++; } sz++; } for(i=3;i*i<=N;i+=2){ if(N%i==0){ fac[sz] = i; fs[sz] = 1; N /= i; while(N%i==0){ N /= i; fs[sz]++; } sz++; } } if(N > 1){ fac[sz] = N; fs[sz] = 1; sz++; } return sz; } template int Divisor_L(T N, T res[], void *mem = wmem){ int i; int j; int k; int s; int sz = 0; T *fc; int *fs; int fsz; walloc1d(&fc, 100, &mem); walloc1d(&fs, 100, &mem); fsz =Factor_L(N, fc, fs); res[sz++] = 1; for(i=(0);i<(fsz);i++){ s = sz; k = s * fs[i]; for(j=(0);j<(k);j++){ res[sz++] = res[j] * fc[i]; } } sort(res, res+sz); return sz; } int ds; long long d[1000000]; int main(){ int Lj4PdHRW; wmem = memarr; int KL2GvlyY = rd_int(); for(Lj4PdHRW=(0);Lj4PdHRW<(KL2GvlyY);Lj4PdHRW++){ int i; long long X; long long Y; long long res = 0; __int128_t a; __int128_t b; __int128_t k; __int128_t up; __int128_t dw; rd(X); rd(Y); X =min_L(X, Y-X); res += 100000000 / Y; ds =Divisor_L(Y, d); for(i=(0);i<(ds);i++){ if(d[i]%2==0){ continue; } if(d[i]==1){ continue; } k = d[i] / 2; up = (2*k*k+2*k) * Y; dw = d[i] * X; if(up % dw){ continue; } up /= dw; if(up < 1 || up > 100000000){ continue; } res++; } wt_L(res); wt_L('\n'); } return 0; } // cLay varsion 20200813-1 [beta] // --- original code --- // int ds; ll d[1d6]; // { // REP(rd_int()){ // ll X, Y, res = 0; // __int128_t a, b, k, up, dw; // rd(X, Y); // X = min(X, Y-X); // res += 1d8 / Y; // // ds = Divisor(Y, d); // rep(i,ds){ // if(d[i]%2==0) continue; // if(d[i]==1) continue; // k = d[i] / 2; // // wt(X,Y,d[i],2*k*k+2*k); // up = (2*k*k+2*k) * Y; // dw = d[i] * X; // if(up % dw) continue; // up /= dw; // if(up < 1 || up > 1d8) continue; // res++; // } // // wt(res); // } // }