#include #define int long long using namespace std; using ll=long long; //f(i,j)はiからjに移動するコスト、Cは移動回数 ll monotone_minima_limit(int N, function f, int C) { ll INF = 1ll<<60; vector D(N + 1, INF); D[0] = 0ll; for (int _ = 0; _ < C; ++_){ vector P = D; D.assign(N + 1, INF); vector I(N + 1, 0); D[0] = 0ll; for (int n = 0; n <= N; ++n) { if (P[n] + f(n, N) < D[N]) {D[N] = P[n] + f(n, N); I[N] = n;} } while (find(D.begin(), D.end(), INF) != D.end()) { int l=-1; for(int r=0;r f) { ll INF = 1ll<<60; vector D(N + 1, INF); D[0] = 0ll; function solve = [&](int L, int R) { if (R - L <= 1) return; int M = (L + R) / 2; solve(L, M); vector U(R - M, INF); vector I(R - M, INF); for (int n = L; n < M; ++n) { if (D[n] + f(n, M) < U[0]) {U[0] = D[n] + f(n, M); I[0] = n;} if (D[n] + f(n, R - 1) < U[R - M - 1]) {U[R - M - 1] = D[n] + f(n, R - 1); I[R - M - 1] = n;} } while (find(U.begin(), U.end(), INF) != U.end()) { int l=-1; for (int r = M; r < R; ++r) { if (U[r - M] == INF) continue; if (l==-1){l=r; continue;} int m = (l + r) / 2; for (int n = I[l - M]; n <= I[r - M]; ++n) { if (D[n] + f(n, m) < U[m - M]) {U[m - M] = D[n] + f(n, m); I[m - M] = n;} } l=r; } } for (int n = M; n < R; ++n) D[n] = min(D[n], U[n - M]); solve(M, R); }; solve(0, N + 1); return D[N]; } signed main(){ int N;cin>>N; vector A(N),X(N),Y(N); for(int i=0;i>A[i]; } for(int i=0;i>X[i]; } for(int i=0;i>Y[i]; } function f=[&](int i,int j){ ll d0=abs(X[i]-A[j-1]),d1=abs(Y[i]); return d0*d0*d0+d1*d1*d1; }; ll ans=monotone_minima_unlimit(N,f); cout<