import sys readline=sys.stdin.readline import heapq class Graph: def __init__(self,V,edges=None,graph=None,directed=False,weighted=False,inf=float("inf")): self.V=V self.directed=directed self.weighted=weighted self.inf=inf if graph!=None: self.graph=graph self.edges=[] for i in range(self.V): if self.weighted: for j,d in self.graph[i]: if self.directed or not self.directed and i<=j: self.edges.append((i,j,d)) else: for j in self.graph[i]: if self.directed or not self.directed and i<=j: self.edges.append((i,j)) else: self.edges=edges self.graph=[[] for i in range(self.V)] if weighted: for i,j,d in self.edges: self.graph[i].append((j,d)) if not self.directed: self.graph[j].append((i,d)) else: for i,j in self.edges: self.graph[i].append(j) if not self.directed: self.graph[j].append(i) def Dijkstra(self,s,route_restoration=False): dist=[self.inf]*self.V dist[s]=0 queue=[(0,s)] if route_restoration: parents=[None]*self.V while queue: dx,x=heapq.heappop(queue) if dist[x]dx+dy: dist[y]=dx+dy if route_restoration: parents[y]=x heapq.heappush(queue,(dist[y],y)) if route_restoration: return dist,parents else: return dist N=int(readline()) X=list(map(int,readline().split())) Y=list(map(int,readline().split())) edges=[] for i in range(N): edges.append((0,i+1,X[i])) edges.append((i+1,0,X[i])) edges.append((N+1,i+1,Y[i])) edges.append((i+1,N+1,Y[i])) G=Graph(N+2,edges=edges,weighted=True,directed=True) dist=G.Dijkstra(0) print(dist[N+1]) print(*dist,sep="\n")