#include int main () { int t = 0; int res = 0; int np[300001] = {}; int nf[300001] = {}; int pcnt[300001] = {}; np[1] = 1; nf[1] = 1; for (int i = 2; i <= 300000; i++) { if (np[i] <= 0) { pcnt[i] = 1; for (int p = 2; i*p <= 300000; p++) { np[i*p] = 1; pcnt[i*p]++; if (p%i == 0) { nf[i*p] = 1; } } } } res = scanf("%d", &t); while (t > 0) { long long n = 0LL; long long k = 0LL; long long ans[2] = { 1LL, 0LL }; long long l[2] = { 0LL, 1LL }; res = scanf("%lld", &n); res = scanf("%lld", &k); while (l[0]+ans[0] <= n && l[1]+ans[1] <= n) { long long nxt[2] = { l[0]+ans[0], l[1]+ans[1] }; long long cnt = 0LL; for (long long i = 1LL; i <= n; i += 1LL) { long long d = (nxt[0]*i)/nxt[1]; if (d > n) { d = n; } cnt += d; if (nf[(int)i] <= 0) { long long tmp = 0LL; for (long long j = 1LL; i*j <= n; j += 1LL) { long long d = (nxt[0]*i*j)/nxt[1]; if (d > n) { d = n; } tmp += d/i; } if (pcnt[(int)i]%2 == 0) { cnt += tmp; } else { cnt -= tmp; } } } if (cnt < k) { l[0] += ans[0]; l[1] += ans[1]; } else { ans[0] += l[0]; ans[1] += l[1]; } /*if (cnt < k) { long long t[2] = { 1LL, n }; if (t[1] > (n-l[0])/ans[0]) { t[1] = (n-l[0])/ans[0]; } if (ans[1] > 0LL && t[1] > (n-l[1])/ans[1]) { t[1] = (n-l[1])/ans[1]; } t[1] += 1LL; while (t[1]-t[0] > 1LL) { long long nxt_v = (t[0]+t[1])/2LL; long long nxt[2] = { l[0]+nxt_v*ans[0], l[1]+nxt_v*ans[1] }; long long cnt = 0LL; for (long long i = 1LL; i <= n; i += 1LL) { long long d = (nxt[0]*i)/nxt[1]; if (d > n) { d = n; } cnt += d; if (nf[(int)i] <= 0) { long long tmp = 0LL; for (long long j = 1LL; i*j <= n; j += 1LL) { long long d = (nxt[0]*i*j)/nxt[1]; if (d > n) { d = n; } tmp += d/i; } if (pcnt[(int)i]%2 == 0) { cnt += tmp; } else { cnt -= tmp; } } } if (cnt < k) { t[0] = nxt_v; } else { t[1] = nxt_v; } } l[0] += t[0]*ans[0]; l[1] += t[0]*ans[1]; } else { long long t[2] = { 1LL, n }; if (l[0] > 0LL && t[1] > (n-ans[0])/l[0]) { t[1] = (n-ans[0])/l[0]; } if (t[1] > (n-ans[1])/l[1]) { t[1] = (n-ans[1])/l[1]; } t[1] += 1LL; while (t[1]-t[0] > 1LL) { long long nxt_v = (t[0]+t[1])/2LL; long long nxt[2] = { nxt_v*l[0]+ans[0], nxt_v*l[1]+ans[1] }; long long cnt = 0LL; for (long long i = 1LL; i <= n; i += 1LL) { long long d = (nxt[0]*i)/nxt[1]; if (d > n) { d = n; } cnt += d; if (nf[(int)i] <= 0) { long long tmp = 0LL; for (long long j = 1LL; i*j <= n; j += 1LL) { long long d = (nxt[0]*i*j)/nxt[1]; if (d > n) { d = n; } tmp += d/i; } if (pcnt[(int)i]%2 == 0) { cnt += tmp; } else { cnt -= tmp; } } } if (cnt >= k) { t[0] = nxt_v; } else { t[1] = nxt_v; } } ans[0] += t[0]*l[0]; ans[1] += t[0]*l[1]; }*/ } if (ans[1] == 0LL) { printf("-1\n"); } else { printf("%lld/%lld\n", ans[0], ans[1]); } t--; } return 0; }