#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; constexpr ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; typedef double ld; typedef pair LDP; const ld eps = 1e-12; const ld pi = acos(-1.0); ll mod_pow(ll x, ll n, ll m = mod) { ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { ll n; modint() :n(0) { ; } modint(ll m) :n(m) { if (n >= mod)n %= mod; else if (n < 0)n = (n % mod + mod) % mod; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } ll gcd(ll a, ll b) { if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } struct bigint { string s; bigint() {}; bigint(ll n) { s = to_string(n); }; bigint(string t) { s = t; }; }; bool operator==(const bigint& a, const bigint& b) { return a.s == b.s; }; bool operator==(const bigint& a, const int& b) { return a.s == to_string(b); }; bool operator!=(const bigint& a, const bigint& b) { return !(a == b); }; bool operator!=(const bigint& a, const int& b) { return a != to_string(b); }; bool operator<(const bigint& a, const bigint& b) { if (a.s.length() != b.s.length())return a.s.length() < b.s.length(); return a.s < b.s; } bool operator>(const bigint& a, const bigint& b) { if (a.s.length() != b.s.length())return a.s.length() > b.s.length(); return a.s > b.s; } bool operator>=(const bigint& a, const bigint& b) { return !(a < b); } bool operator<=(const bigint& a, const bigint& b) { return !(a > b); } bigint operator+(const bigint& a, const bigint& b) { int len = max(a.s.length(), b.s.length()); bigint ret; bool f = false; rep(i, len) { int c = 0; if (f)c = 1, f = false; int j = a.s.length() - 1 - i; if (j >= 0)c += a.s[j] - '0'; j = b.s.length() - 1 - i; if (j >= 0)c += b.s[j] - '0'; if (c >= 10)f = true, c -= 10; ret.s.push_back('0' + c); } if (f)ret.s.push_back('1'); reverse(ret.s.begin(), ret.s.end()); return ret; } bigint operator+(const bigint& a, const int b) { return a + bigint(b); } bigint operator-(const bigint& a, const bigint& b) { int len = max(a.s.length(), b.s.length()); bigint ret; bool f = false; rep(i, len) { int c = 0; if (f)c = -1, f = false; int j = a.s.length() - 1 - i; if (j >= 0)c += a.s[j] - '0'; j = b.s.length() - 1 - i; if (j >= 0)c -= b.s[j] - '0'; if (c < 0)f = true, c += 10; ret.s.push_back('0' + c); } while (ret.s.size() > 1 && ret.s.back() == '0')ret.s.pop_back(); reverse(ret.s.begin(), ret.s.end()); return ret; } bigint operator/(const bigint& a, const bigint& b) { bigint ret(0); bigint ans; int len = a.s.length(); rep(i, len) { ret = ret + (a.s[i] - '0'); int cnt = 0; while (ret >= b)++cnt, ret = ret - b; ans.s.push_back('0' + cnt); if (ret != 0)ret.s.push_back('0'); } rep(i, ans.s.length()) { if (ans.s[i] != '0') { ans.s.erase(ans.s.begin(), ans.s.begin() + i); break; } if (i == (int)ans.s.length() - 1) { ans = 0; } } return ans; } bigint operator%(const bigint& a, const bigint& b) { bigint ret(0); int len = a.s.length(); rep(i, len) { ret = ret + (a.s[i] - '0'); while (ret >= b)ret = ret - b; if (ret != 0 && i < len - 1)ret.s.push_back('0'); } rep(i, ret.s.size()) { if (ret.s[i] != '0' || i == ret.s.size() - 1) { ret.s.erase(ret.s.begin(), ret.s.begin() + i); break; } } return ret; } bigint multi(const bigint& a, const int& t) { bigint ret; int c = 0; per(i, a.s.length()) { c += (a.s[i] - '0') * t; ret.s.push_back('0' + (c % 10)); c /= 10; } while (c > 0) { ret.s.push_back('0' + (c % 10)); c /= 10; } while (ret != 0 && ret.s.back() == '0')ret.s.pop_back(); reverse(ret.s.begin(), ret.s.end()); return ret; } bigint operator*(const bigint& a, const bigint& b) { bigint ret(0); int l = b.s.length(); rep(i, b.s.length()) { bigint u = multi(a, (b.s[l - 1 - i] - '0')); if (u != 0) { rep(j, i)u.s.push_back('0'); } ret = ret + u; } rep(i, ret.s.size()) { if (ret.s[i] != '0' || i == ret.s.size() - 1) { ret.s.erase(ret.s.begin(), ret.s.begin() + i); break; } } return ret; } bigint min(const bigint& a, const bigint& b) { if (a < b)return a; else return b; } bigint gcd(bigint a, bigint b) { if (a < b)swap(a, b); while (b > 0) { bigint r = a % b; a = b; b = r; } return a; } typedef pair bP; bool comp(bP a, bP b) { return a.first * b.second < a.second* b.first; } void solve() { ll t1, t2, t3; cin >> t1 >> t2 >> t3; vector vs; rep(i, 2)rep(j, 2) { bigint a1, b1, a2, b2; a1 = t1 * t2; a2 = t1 * t3; if (i == 0) { b1 = t1 + t2; } else { b1 = t2 - t1; } if (j == 0) { b2 = t1 + t3; } else { b2 = t3 - t1; } bigint x = a1 * b2; bigint y = a2 * b1; bigint g = gcd(x, y); //cout << x << " " << y << " " << g << "\n"; bigint ans1 = x / g * y; bigint ans2 = b1 * b2; g = gcd(ans1, ans2); ans1 = ans1/g, ans2 = ans2/g; vs.push_back({ ans1,ans2 }); //cout << ans1 << " " << ans2 << "\n"; } sort(all(vs),comp); cout << vs[0].first.s << "/" << vs[0].second.s << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(15); //init_f(); //init(); //expr(); //int t; cin >> t; rep(i, t) solve(); return 0; }