/* -*- coding: utf-8 -*- * * 229.cc: No.229 線分上を往復する3つの動点の一致 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ /* typedef */ typedef long long ll; typedef pair pll; /* global variables */ /* subroutines */ pll calc_t(int t1, int t2, int t3, int s0, int s1) { int num0 = t3 + s0 * t1, den0 = t1 * t3; int g0 = __gcd(num0, den0); num0 /= g0, den0 /= g0; int num1 = t3 + s1 * t2, den1 = t2 * t3; int g1 = __gcd(num1, den1); num1 /= g1, den1 /= g1; int gd = __gcd(den0, den1); ll den = (ll)den0 * den1 / gd; ll num = __gcd((ll)num0 * den1 / gd, (ll)num1 * den0 / gd); return pll(den, num); } /* main */ int main() { int t1, t2, t3; cin >> t1 >> t2 >> t3; pll a0 = calc_t(t1, t2, t3, -1, -1); pll a1 = calc_t(t1, t2, t3, 1, -1); pll a2 = calc_t(t1, t2, t3, -1, 1); pll a3 = calc_t(t1, t2, t3, 1, 1); ll maxd = a0.second; if (maxd < a1.second) maxd = a1.second; if (maxd < a2.second) maxd = a2.second; if (maxd < a3.second) maxd = a3.second; printf("%lld/%lld\n", a0.first, maxd); return 0; }