#include using namespace std; #define rep(i,n) for(int i=0;i=0;i--) struct xor128_random { uint32_t seed; random_device rnd; xor128_random(uint32_t s = 0) { if (s) seed = s; else seed = (uint32_t) rnd(); for (int i = 0; i < 10; ++i) next(); } uint32_t next() { static uint32_t x = 123456789, y = 362436069, z = 521288629, w = seed; uint32_t t = x ^ (x << 11); x = y; y = z; z = w; w = (w ^ (w >> 19)) ^ (t ^ (t >> 8)); return w; } uint32_t operator()() { return next(); } }; xor128_random rnd; int yamanobori(const int n, const vector &A, const vector &B) { int bb = accumulate(B.begin(), B.end(), 0); vector> problems; rep(i, n) { problems.emplace_back(1.0 * A[i] / B[i], A[i], B[i]); } sort(problems.begin(), problems.end()); int ans = bb; int aa = 0; int idx = 0; int grea = 0, greb = bb; rep(i, n) { aa += get<1>(problems[i]); bb -= get<2>(problems[i]); if (max(aa, bb) < ans) { idx = i; grea = aa; greb = bb; ans = max(aa, bb); } } rep(_, 500) { int cura = grea; int curb = greb; vector X(n, 1); rep(i, idx+1) X[i] = 0; rep(t, 100000) { int i = rnd() % n; int nexa = cura, nexb = curb; if (X[i]) { // b to a nexa += get<1>(problems[i]); nexb -= get<2>(problems[i]); } else { // a to b nexa -= get<1>(problems[i]); nexb += get<2>(problems[i]); } if (max(nexa, nexb) < max(cura, curb)) { X[i] = 1 - X[i]; cura = nexa; curb = nexb; // out(t, cura, curb, max(cura, curb)); } } // out(_, cura, curb, max(cura, curb)); ans = min(ans, max(cura, curb)); } return ans; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n; cin >> n; vector A(n), B(n); rep(i, n) { cin >> A[i] >> B[i]; } int ans = yamanobori(n, A, B); cout << ans << endl; return 0; }