#include #define REP_(i, a_, b_, a, b, ...) \ for (int i = (a), END_##i = (b); i < END_##i; ++i) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define ALL(x) std::begin(x), std::end(x) using Int = long long; using Real = long double; template inline bool chmax(T &a, U b) { return a < b and ((a = std::move(b)), true); } template inline bool chmin(T &a, U b) { return a > b and ((a = std::move(b)), true); } template inline int ssize(const T &a) { return (int) a.size(); } inline void check(bool cond, const char *message = "!ERROR!") { if (not cond) { std::cout.flush(), std::cerr.flush(); throw std::runtime_error(message); } } template inline std::ostream &print_one(const T &x, char endc) { if constexpr (std::is_same_v) { return std::cout << (x ? "Yes" : "No") << endc; } else { return std::cout << x << endc; } } template inline std::ostream &print(const T &x) { return print_one(x, '\n'); } template std::ostream &print(const T &head, Ts... tail) { return print_one(head, ' '), print(tail...); } inline std::ostream &print() { return std::cout << '\n'; } template std::ostream &print_seq(const Container &a, const char *sep = " ", const char *ends = "\n", std::ostream &os = std::cout) { auto b = std::begin(a), e = std::end(a); for (auto it = std::begin(a); it != e; ++it) { if (it != b) os << sep; os << *it; } return os << ends; } template struct is_iterable : std::false_type {}; template struct is_iterable())), decltype(std::end(std::declval()))>> : std::true_type { }; template::value && !std::is_same::value>> std::ostream &operator<<(std::ostream &os, const T &a) { return print_seq(a, ", ", "", (os << "{")) << "}"; } struct CastInput { template operator T() const { T x; std::cin >> x; return x; } struct Sized { std::size_t n; template operator T() const { T x(n); for (auto &e: x) std::cin >> e; return x; } }; Sized operator()(std::size_t n) const { return {n}; } } const in; #ifdef MY_DEBUG #include "debug_dump.hpp" #include "backward.hpp" backward::SignalHandling kSignalHandling; #else #define DUMP(...) #define cerr if(false)std::cerr #endif using namespace std; template struct Infinity { template constexpr operator T() const { static_assert(sign == 1 or not std::is_unsigned_v, "must be positive in an unsigned type"); if constexpr (std::numeric_limits::has_infinity) { return T(sign) * std::numeric_limits::infinity(); } else { static_assert(std::numeric_limits::max() != T()); // max must be defined return T(sign) * (std::numeric_limits::max() / T(4)); } } constexpr Infinity operator-() const { return {}; } template friend constexpr bool operator==(const T &x, const Infinity &y) { return x == T(y); } template friend constexpr bool operator!=(const T &x, const Infinity &y) { return x != T(y); } }; constexpr Infinity<> kBig; // 2 largest items in an interval. struct Max2Op { using value_type = pair; using T = std::array; static T op(const T &x, const T &y) { std::array a = {x[0], x[1], y[0], y[1]}; std::sort(std::rbegin(a), std::rend(a)); return {a[0], a[1]}; } static constexpr T id() { return {pair{(Int) -kBig, -1}, pair{(Int) -kBig, -1}}; } }; template T floor_div(T x, T y) { check(y != 0); return x / y - (((x ^ y) < 0) and (x % y)); } // Binary search: // auto ok_bound = bisect(ok, ng, [&](i64 x) -> bool { return ...; }); template auto bisect(T true_x, T false_x, F pred) -> T { static_assert(std::is_invocable_r_v); while (std::abs(true_x - false_x) > 1) { T mid = floor_div(true_x + false_x, 2); if (pred(mid)) { true_x = std::move(mid); } else { false_x = std::move(mid); } } return true_x; } auto solve() -> Int { int n = in, D = in; vector> menu(n); REP(i, n) { Int p = in, q = in; menu[i].first = p; menu[i].second = q; } Int ans = bisect((Int) -kBig, 0, [&](Int x) -> bool { auto dp = vector(2, vector(n, (Int) -kBig)); REP(i, n) { auto[pi, qi] = menu[i]; if (-pi < x) continue; dp[0][i] = -pi + qi; } REP(day, 1, D) { vector> temp; REP(j, n) { auto z = dp[0][j]; if (z < x) continue; if (ssize(temp) < 2) { temp.push_back({z, j}); sort(ALL(temp), greater{}); } else if (temp.back().first < z) { temp[1].first = z; temp[1].second = j; sort(ALL(temp), greater{}); } } if (temp.empty()) return false; REP(j, n) { auto[pj, qj] = menu[j]; if (j != temp[0].second) { auto z = temp[0].first; if (z - pj >= x) chmax(dp[1][j], z - pj + qj); } else if (ssize(temp) >= 2) { auto z = temp[1].first; if (z - pj >= x) chmax(dp[1][j], z - pj + qj); } } dp[0].swap(dp[1]); dp[1].assign(n, (Int) -kBig); } REP(j, n) { if (dp[0][j] >= x) return true; } return false; }); check(ans != -kBig); return ans; } int main() { ios_base::sync_with_stdio(false), cin.tie(nullptr); cout << std::fixed << std::setprecision(18); const int T = 1;//in; REP(t, T) { auto ans = solve(); print(ans); } }