#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define popcount __builtin_popcount using namespace std; typedef long long int ll; typedef pair P; int n; ll a[300030], x[300030], y[300030]; ll dp[300030]; vector

monotone_minima(int h, int w, const function &f){ vector

dp(h); const ll INF=1e18; auto solve=[&](auto solve, int d, int u, int l, int r)->void{ if(d>u) return; int m=(d+u)/2; ll mn=INF; int k; for(int i=l; i<=r; i++){ ll v=f(m, i); if(mn>v){ mn=v; k=i; } } dp[m]=P(k, mn); solve(solve, d, m-1, l, k); solve(solve, m+1, u, k, r); }; solve(solve, 0, h-1, 0, w-1); return dp; } void solve(int l, int r){ if(l>r) return; int m=(l+r)/2; solve(l, m-1); vector

dp1=monotone_minima(r-m+1, m-l+1, [&](int i, int j){ return dp[j+l-1]+y[j+l]*y[j+l]*y[j+l]+abs(x[j+l]-a[i+m])*abs(x[j+l]-a[i+m])*abs(x[j+l]-a[i+m]);}); for(int i=m; i<=r; i++) dp[i]=min(dp[i], dp1[i-m].second); solve(m+1, r); } int main() { scanf("%d", &n); const ll INF=1e18; fill(dp, dp+n+1, INF); dp[0]=0; for(int i=1; i<=n; i++) scanf("%lld", &a[i]); for(int i=1; i<=n; i++) scanf("%lld", &x[i]); for(int i=1; i<=n; i++) scanf("%lld", &y[i]); solve(1, n); printf("%lld\n", dp[n]); return 0; }