#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" // define macro "/D__MAI" using namespace std; typedef long long int ll; #define debugv(v) {printf("L%d %s => ",__LINE__,#v);for(auto e:v){cout< ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout< ostream& operator <<(ostream &o, const pair p) { o << "(" << p.first << ":" << p.second << ")"; return o; } mt19937 mt(8901016); inline int rand_int(int l, int h) { return uniform_int_distribution<>(l, h)(mt); } #ifdef __MAI #define getchar_unlocked getchar #define putchar_unlocked putchar #endif #ifdef __VSCC #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #endif namespace { #define isvisiablechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'>(int& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiablechar(cc); cc = getchar_unlocked()); for (; isvisiablechar(cc); cc = getchar_unlocked()) var.push_back(cc); } template void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; } MaiScanner scanner; // 三分探索 しさくひん // funcを最小化する値を求める. // funcの極値は1つであること // かなり無駄がありそう ll t_search_proto(ll left, ll right, auto func) { repeat(90) { ll l = right - (2 * right - 2 * left) / 3; ll r = right - (right - left) / 3; ll lval = func(l); ll rval = func(r); // printf("%lld %lld ; %lld->%lld %lld->%lld\n", left, right,l,lval,r,rval); if (lval <= rval) { right = r; } else { left = l; } if (left == right) return left; } ll best = func(left); ll bestidx = left; for (ll t = left + 1; t <= right; ++t) { ll f = func(t); if (best > f) { best = f; bestidx = t; } } return bestidx; } ll n; ll aa[40], bb[40]; namespace guchoku { ll memo[40]; ll dfs(int idx = 0, ll a = 0, ll b = 0) { if (memo[idx] < abs(a - b)) return 1e15; if (idx == n) return abs(a - b); return min(dfs(idx + 1, a + aa[idx], b), dfs(idx + 1, a, b + bb[idx])); } } vector stacker; void dfs_foward(int idx = 0, ll a = 0, ll b = 0) { if (idx == 15) { stacker.push_back((a - b)); return; } dfs_foward(idx + 1, a + aa[idx], b), dfs_foward(idx + 1, a, b + bb[idx]); } ll dfs_backward(int idx = 15, ll a = 0, ll b = 0) { if (idx == n) { ll ab = a - b; int si = t_search_proto(0, stacker.size(), [&ab](ll e) {return abs(ab - stacker[e]); }); return abs(ab-stacker[si]); } return min(dfs_backward(idx + 1, a + aa[idx], b), dfs_backward(idx + 1, a, b + bb[idx])); } int main() { scanner >> n; repeat(n) { scanner >> aa[cnt] >> bb[cnt]; } repeat(40) { guchoku::memo[cnt] = 5e15; // 5000兆円欲しい! } if (n <= 20) { cout << guchoku::dfs() << endl; } else { dfs_foward(); sort(ALL(stacker)); cout << dfs_backward() << endl; } vector perm(n / 2); return 0; }