#include using namespace std; struct Fast { Fast() { std::cin.tie(0); ios::sync_with_stdio(false); } } fast; #define rep(i, a, b) for (int i = (a); i < (int)(b); i++) #define rrep(i, a, b) for (int i = (int)(b)-1; i >= (a); i--) #define ll long long template bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; } return false; } int main() { int t; cin >> t; while (t--) { ll n, k; cin >> n >> k; vector dp(n + 1, 0); ll tot = 0; { for (int i = 1; i <= n; i++) dp[i] = (n / i) * (n / i); for (ll i = n; i >= 1; i--) for (ll j = i * 2; j <= n; j += i) dp[i] -= dp[j]; if (dp[1] < k) { cout << -1 << "\n"; continue; } tot = dp[1]; } if (k == (tot + 1) / 2) { cout << "1/1\n"; continue; ; } bool inv = false; if (k > (tot + 1) / 2) { k = tot - k + 1; inv = true; } { ll l = 0, r = n * n; while (r - l > 1) { ll x = (l + r) / 2; for (int i = 1; i <= n; i++) { dp[i] = 0; for (int a = i; a <= n; a += i) dp[i] += min(n, a * x / (n * n)) / i; } for (ll i = n; i >= 1; i--) for (ll j = i * 2; j <= n; j += i) dp[i] -= dp[j]; if (dp[1] < k) l = x; else r = x; } for (long a = 1; a <= n; a++) { long x = a * l / n / n + 1; long y = a * r / n / n; if (x == y) { if (!inv) { cout << y << "/" << a << "\n"; } else { cout << a << "/" << y << "\n"; } break; } } } } cout << endl; }