#define _CRT_SECURE_NO_WARNINGS #define _USE_MATH_DEFINES #define _SILENCE_CXX17_RESULT_OF_DEPRECATION_WARNING #include "bits/stdc++.h" #define rep(i, n) for (int i = 0; i < (n); ++i) #define FOR(i, m, n) for (int i = (m); i < (n); ++i) #define rrep(i, n) for (int i = (n)-1; i >= 0; --i) #define rfor(i, m, n) for (int i = (m); i >= (n); --i) #define sz(x) ((int)(x).size()) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() #define range_it(a, l, r) (a).begin() + (l), (a).begin() + (r) using namespace std; using LL = long long; using ld = long double; using VB = vector; using VVB = vector; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using VS = vector; using VD = vector; using PII = pair; using VP = vector; using PLL = pair; using VPL = vector; template using Grid = vector>; template using PQ = priority_queue; template using PQS = priority_queue, greater>; constexpr int inf = (int)1e9; constexpr LL inf_ll = (LL)1e18, MOD = 1000000007; constexpr ld PI = M_PI, EPS = 1e-12; template inline void Sort(T& a) noexcept { sort(all(a)); } template inline void RSort(T& a) noexcept { sort(rall(a)); } template inline void Reverse(T& a) noexcept { reverse(all(a)); } template inline void Unique(T& a) noexcept { a.erase(unique(all(a)), a.end()); } template inline T Sorted(T a) noexcept { Sort(a); return a; } template inline T RSorted(T a) noexcept { RSort(a); return a; } template inline T Reversed(T a) noexcept { Reverse(a); return a; } template inline T Uniqued(T a) noexcept { Unique(a); return a; } template inline auto Max(const T& a) noexcept { return *max_element(all(a)); } template inline auto Min(const T& a) noexcept { return *min_element(all(a)); } template inline int MaxPos(const T& a) noexcept { return max_element(all(a)) - a.begin(); } template inline int MinPos(const T& a) noexcept { return min_element(all(a)) - a.begin(); } template inline int Count(const T& a, const U& v) noexcept { return count(all(a), v); } template inline int Find(const T& a, const U& v) noexcept { return find(all(a), v) - a.begin(); } template inline U Sum(const T& a, const U& v) noexcept { return accumulate(all(a), v); } template inline int Lower(const T& a, const U& v) noexcept { return lower_bound(all(a), v) - a.begin(); } template inline int Upper(const T& a, const U& v) noexcept { return upper_bound(all(a), v) - a.begin(); } template inline void RemoveIf(T& a, P f) noexcept { a.erase(remove_if(all(a), f), a.end()); } template inline T Age(T n, T m) noexcept { return (n + m - 1) / m; } template inline T Age2(T n, T m) noexcept { return Age(n, m) * m; } template inline T Tri(T n) noexcept { return (n & 1) ? (n + 1) / 2 * n : n / 2 * (n + 1); } template inline T BIT(int b) noexcept { return T{1} << b; } template inline T Gcd(T n, T m) noexcept { return m ? Gcd(m, n % m) : n; } template inline T Lcm(T n, T m) noexcept { return n / Gcd(n, m) * m; } template inline T Pow(T a, T n) noexcept { T r = 1; while (n > 0) { if (n & 1) r *= a; a *= a; n /= 2; } return r; } template inline T Powmod(T a, T n, T m = MOD) noexcept { T r = 1; while (n > 0) { if (n & 1) r = r * a % m, n--; else a = a * a % m, n /= 2; } return r; } template inline bool chmax(T& a, const T& b) noexcept { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T& a, const T& b) noexcept { if (a > b) { a = b; return true; } return false; } template inline bool inRange(const T& v, const T& min, const T& max) noexcept { return min <= v && v <= max; } inline string operator*(string s, int n) noexcept { string ret; rep(i, n) ret += s; return ret; } // --- input --- // #if defined(_WIN32) || defined(ONLINE_JUDGE) #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #endif inline int gc() noexcept { return getchar_unlocked(); } template inline void InputF(T& v) noexcept { cin >> v; } inline void InputF(char& v) noexcept { while (isspace(v = gc())) ; } inline void InputF(string& v) noexcept { char c; for (InputF(c); !isspace(c); c = gc()) v += c; } inline void InputF(int& v) noexcept { bool neg = false; v = 0; char c; InputF(c); if (c == '-') { neg = true; c = gc(); } for (; isdigit(c); c = gc()) v = v * 10 + (c - '0'); if (neg) v = -v; } inline void InputF(long long& v) noexcept { bool neg = false; v = 0; char c; InputF(c); if (c == '-') { neg = true; c = gc(); } for (; isdigit(c); c = gc()) v = v * 10 + (c - '0'); if (neg) v = -v; } inline void InputF(double& v) noexcept { double dp = 1; bool neg = false, adp = false; v = 0; char c; InputF(c); if (c == '-') { neg = true; c = gc(); } for (; isdigit(c) || c == '.'; c = gc()) { if (c == '.') adp = true; else if (adp) v += (c - '0') * (dp *= 0.1); else v = v * 10 + (c - '0'); } if (neg) v = -v; } template inline void InputF(pair& v) noexcept { InputF(v.first); InputF(v.second); } template inline void InputF(vector& v) noexcept { for (auto& e : v) InputF(e); } template inline T InputF() { T v; InputF(v); return v; } struct InputV { int n, m; InputV(int N) : n(N), m(0) {} InputV(pair N) : n(N.first), m(N.second) {} template operator vector() noexcept { vector v(n); InputF(v); return v; } template operator vector>() noexcept { vector> v(n, vector(m)); InputF(v); return v; } }; struct Input { template operator T() noexcept { return InputF(); } int operator--(int) { int v; InputF(v); v--; return v; } InputV operator[](int n) noexcept { return InputV(n); } InputV operator[](pair n) noexcept { return InputV(n); } void operator()() {} template void operator()(H&& h, T&&... t) { InputF(h); operator()(forward(t)...); } template array, W> get(int H) { array, W> ret; rep(i, H) rep(j, W) { T x = *this; ret[j].push_back(x); } return ret; } } in; #define input(type) InputF() // --- output --- // struct BoolStr { const char *t, *f; BoolStr(const char* _t, const char* _f) : t(_t), f(_f) {} } Yes("Yes", "No"), yes("yes", "no"), YES("YES", "NO"), Int("1", "0"); struct DivStr { const char *d, *l; DivStr(const char* _d, const char* _l) : d(_d), l(_l) {} } spc(" ", "\n"), no_spc("", "\n"), end_line("\n", "\n"), comma(",", "\n"), no_endl(" ", ""); class Output { BoolStr B{Yes}; DivStr D{spc}; bool isPrint = true; void p(double v) { printf("%.20f", v); } void p(long double v) { printf("%.20Lf", v); } void p(int v) { printf("%d", v); } void p(LL v) { printf("%lld", v); } void p(char v) { putchar(v); } void p(bool v) { printf("%s", v ? B.t : B.f); } template void p(const T& v) { cout << v; } template void p(const pair& v) { p(v.first); printf("%s", D.d); p(v.second); } template void p(const vector& v) { rep(i, sz(v)) { if (i) printf("%s", D.d); p(v[i]); } } template void p(const vector>& v) { rep(i, sz(v)) { if (i) printf("%s", D.l); p(v[i]); } } void p(const BoolStr& v) { B = v; isPrint = false; } void p(const DivStr& v) { D = v; isPrint = false; } public: Output& operator()() { printf("%s", D.l); return *this; } template Output& operator()(H&& h) { p(h); if (isPrint) printf("%s", D.l); isPrint = true; return *this; } template Output& operator()(H&& h, T&&... t) { p(h); if (isPrint) printf("%s", D.d); isPrint = true; return operator()(forward(t)...); } template void exit(T&&... t) { operator()(forward(t)...); std::exit(EXIT_SUCCESS); } Output& flush() { cout.flush(); return *this; } } out; // --- dump --- // #if __has_include("dump.hpp") #include "dump.hpp" #else #define dump(...) (void(0)) #endif template auto MakeVector(size_t size, F f) { vector>> res(size); for (size_t i = 0; i < size; ++i) res[i] = f(i); return res; } template T Slice(const T& v, size_t i, size_t len) { return i < v.size() ? vector(v.begin() + i, v.begin() + min(i + len, v.size())) : vector(); } template void Each(T& v, F f) { for (auto& e : v) f(e); } template auto Map(const T& v, F f) { vector>> res(v.size()); size_t i = 0; for (const auto& e : v) res[i++] = f(e); return res; } template auto MapIndex(const T& v, F f) { vector>> res(v.size()); size_t i = 0; for (auto it = v.begin(); it != v.end(); ++it, ++i) res[i] = f(i, *it); return res; } template auto Select(const T& v, F f) { vector res; for (const auto& e : v) if (f(e)) res.push_back(e); return res; } template vector TrueIndex(const T& v, F f) { vector res; size_t i = 0; for (const auto& e : v) { if (f(e)) res.push_back(i); ++i; } return res; } // ---------------------------------------------------------------- // int main() { int n = in; VI a(n), b(n); rep(i, n) { int x = in, y = in; a[i] = x; b[i] = y - x; } VVI dp(BIT(n), VI(n, -1)); function rec = [&](int s, int i) { if (dp[s][i] != -1) { return dp[s][i]; } if (!(s & BIT(i))) { return dp[s][i] = inf; } if (__builtin_popcount(s) == 1) { return dp[s][i] = 0; } dp[s][i] = inf; int s2 = s & ~BIT(i); rep(j, n) chmin(dp[s][i], max(rec(s2, j), b[j] + a[i])); return dp[s][i]; }; int ans = inf; rep(i, n) chmin(ans, rec(BIT(n) - 1, i)); out(ans); }