import heapq
import math
import sys
readline=sys.stdin.readline

class Graph:
    def __init__(self,V,edges=False,graph=False,directed=False,weighted=False,inf=float("inf")):
        self.V=V
        self.directed=directed
        self.weighted=weighted
        self.inf=inf
        if not graph:
            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)
        else:
            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))

    def Dijkstra(self,s,route_restoration=False):
        dist=[self.inf]*self.V
        dist[s]=0
        hq=[(0,s)]
        if route_restoration:
            parents=[None]*self.V
        while hq:
            dx,x=heapq.heappop(hq)
            if dist[x]<dx:
                continue
            for y,dy in self.graph[x]:
                if dist[y]>dx+dy:
                    dist[y]=dx+dy
                    if route_restoration:
                        parents[y]=x
                    heapq.heappush(hq,(dist[y],y))
        if route_restoration:
            return dist,parents
        else:
            return dist

    def Route_Restoration(self,s,g,parents,reverse=False):
        route=[g]
        while s!=g:
            if parents[g]==None:
                route=[]
                break
            g=parents[g]
            route.append(g)
        if not reverse:
            route=route[::-1]
        return route

    def K_Shortest_Path_Routing(self,s,t,K,edge_unicursal=False,point_unicursal=False):
        if point_unicursal:
            dist,parents=self.Dijkstra(s,route_restoration=True)
            route=tuple(self.Route_Restoration(s,t,parents))
            queue=[(dist[t],route,[dist[x] for x in route])]
            set_queue=set()
            set_queue.add(route)
            retu=[]
            while queue and K:
                d,route,route_dist=heapq.heappop(queue)
                retu.append((d,route,route_dist))
                K-=1
                set_route=set()
                for i in range(len(route)-1):
                    x=route[i]
                    set_route.add(x)
                    edges=[(v,u,d) for u,v,d in self.edges if not u in set_route and not v in set_route]
                    G_rev=Graph(self.V,edges=edges,directed=self.directed,weighted=self.weighted,inf=self.inf)
                    dist_rev,parents_rev=G_rev.Dijkstra(t,route_restoration=True)
                    for y,d in self.graph[x]:
                        if y==route[i+1]:
                            continue
                        if dist_rev[y]==self.inf:
                            continue
                        tpl=route[:i+1]+tuple(self.Route_Restoration(t,y,parents_rev,reverse=True))
                        if not tpl in set_queue:
                            heapq.heappush(queue,(route_dist[i]+d+dist_rev[y],tpl,route_dist[:i+1]+[route_dist[i]+d+dist_rev[y]-dist_rev[z] for z in tpl[i+1:]]))
                            set_queue.add(tpl)

        else:
            dist,parents=self.Dijkstra(s,route_restoration=True)
            if dist[t]==self.inf:
                return False
            route_lst=[tuple(self.Route_Restoration(s,x,parents)) for x in range(self.V)]
            edges_rev=[(j,i,d) for i,j,d in self.edges]
            G_rev=Graph(self.V,edges=edges_rev,weighted=self.weighted,directed=self.directed,inf=self.inf)
            dist_rev,parents_rev=G_rev.Dijkstra(t,route_restoration=True)
            route_rev_lst=[]
            for x in range(self.V):
                route_rev_lst.append(tuple(self.Route_Restoration(t,x,parents_rev,reverse=True)))
            route=route_lst[t]
            queue=[(dist[t],route,[dist[x] for x in route])]
            set_queue=set()
            set_queue.add(route)
            retu=[]
            while queue and K:
                d,route,route_dist=heapq.heappop(queue)
                retu.append((d,route,route_dist))
                K-=1
                for i in range(len(route)-1):
                    x=route[i]
                    for y,d in self.graph[x]:
                        if y==route[i+1]:
                            continue
                        tpl=route[:i+1]+route_rev_lst[y]
                        if not tpl in set_queue:
                            heapq.heappush(queue,(route_dist[i]+d+dist_rev[y],tpl,route_dist[:i+1]+[route_dist[i]+d+dist_rev[y]-dist_rev[z] for z in route_rev_lst[y]]))
                            set_queue.add(tpl)
        return retu

N,M,K=map(int,readline().split())
S,T=map(int,readline().split())
S-=1;T-=1
X,Y=[],[]
for _ in range(N):
    x,y=map(int,readline().split())
    X.append(x)
    Y.append(y)
edges=[]
for _ in range(M):
    P,Q=map(int,readline().split())
    P-=1;Q-=1
    edges.append((P,Q,math.sqrt((X[P]-X[Q])**2+(Y[P]-Y[Q])**2)))
G=Graph(N,edges=edges,weighted=True)
ans_lst=[-1]*K
for i,(d,route,dist) in enumerate(G.K_Shortest_Path_Routing(S,T,K,point_unicursal=True)):
    ans_lst[i]=d
print(*ans_lst,sep="\n")