#ifndef LOCAL #define FAST_IO #endif // ============ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define OVERRIDE(a, b, c, d, ...) d #define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i) #define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i) #define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__) #define PER(i, n) for (i32 i = (i32)(n) - 1; i >= 0; --i) #define ALL(x) begin(x), end(x) using namespace std; using u32 = unsigned int; using u64 = unsigned long long; using i32 = signed int; using i64 = signed long long; using f64 = double; using f80 = long double; template using Vec = vector; template bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } #ifdef INT128 using u128 = __uint128_t; using i128 = __int128_t; istream &operator>>(istream &is, i128 &x) { i64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, i128 x) { os << (i64)x; return os; } istream &operator>>(istream &is, u128 &x) { u64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, u128 x) { os << (u64)x; return os; } #endif [[maybe_unused]] constexpr i32 INF = 1000000100; [[maybe_unused]] constexpr i64 INF64 = 3000000000000000100; struct SetUpIO { SetUpIO() { #ifdef FAST_IO ios::sync_with_stdio(false); cin.tie(nullptr); #endif cout << fixed << setprecision(15); } } set_up_io; // ============ #ifdef DEBUGF #else #define DBG(x) (void) 0 #endif // https://ei1333.github.io/library/dp/monotone-minima.hpp template< typename T, typename Compare = less< T > > vector< pair< int, T > > monotone_minima(int H, int W, const function< T(int, int) > &f, const Compare &comp = Compare()) { vector< pair< int, T > > dp(H); function< void(int, int, int, int) > dfs = [&](int top, int bottom, int left, int right) { if(top > bottom) return; int line = (top + bottom) / 2; T ma; int mi = -1; for(int i = left; i <= right; i++) { T cst = f(line, i); if(mi == -1 || comp(cst, ma)) { ma = cst; mi = i; } } dp[line] = make_pair(mi, ma); dfs(top, line - 1, left, mi); dfs(line + 1, bottom, mi, right); }; dfs(0, H - 1, 0, W - 1); return dp; } int main() { i32 n, m; cin >> n >> m; Vec a(n), d(n); REP(i, n) { cin >> a[i] >> d[i]; } Vec plus, minus; REP(i, n) { if (d[i] > 0) { plus.push_back(i); } else { minus.push_back(i); } } Vec pct(m + 1, -INF64); pct[0] = 0; if (!minus.empty()) { priority_queue> pq; Vec cnt(n, 0); for (i32 i : minus) { pq.emplace(a[i] + cnt[i] * d[i], i); } REP(i, m) { auto [val, idx] = pq.top(); pq.pop(); pct[i + 1] = pct[i] + val; ++cnt[idx]; pq.emplace(a[idx] + cnt[idx] * d[idx], idx); } } DBG(pct); Vec prob(m + 1, -INF64); prob[0] = 0; if (!plus.empty()) { sort(ALL(plus), [&](i32 i, i32 j) -> bool { return d[i] < d[j]; }); DBG(plus); const auto get = [&](i32 i, i32 j) -> i64 { i32 idx = plus[j]; i64 first = a[idx]; i64 last = a[idx] + d[idx] * (i - 1); return (first + last) * i / 2; }; auto ret = monotone_minima>(m + 1, (i32)plus.size(), get); REP(i, m + 1) { prob[i] = ret[i].second; } } DBG(prob); i64 ans = -INF64; REP(i, m + 1) { chmax(ans, pct[i] + prob[m - i]); } cout << ans << '\n'; }