#include using namespace std; using int64 = long long; // const int mod = 1e9 + 7; const int mod = 998244353; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } #pragma GCC optimize ("O3") #pragma GCC target ("avx2") // or sse4 #pragma GCC optimize("unroll-loops") int main() { int N, C; cin >> N >> C; vector< int64 > A(N), B(N); for(int i = 0; i < N; i++) { cin >> A[i] >> B[i]; } vector< int64 > dp(N + 1, infll); dp[0] = 0; vector< int64 > dp2(N + 1, infll); dp2[0] = 0; auto set_j = [&](int64 j, int64 v) { v *= 2; v += j * j * C; v += j * C; chmin(dp2[j], v); }; for(int64 i = 1; i <= N; i++) { int64 ret = infll; for(int64 j = 0; j < i; j++) { chmin(ret, dp2[j] + -(2 * j * (A[i - 1] + i * C))); } ret += i * i * C; ret -= i * C; ret += i * A[i - 1] * 2; ret /= 2; ret += B[i - 1]; for(int j = i; j <= N; j++) { if(chmin(dp[j], ret + (j - i) * A[i - 1] + (j - i) * (j - i + 1) / 2 * C)) { set_j(j, dp[j]); } else { break; } } } cout << dp[N] << "\n"; }