def bfs(graph,c,t): s=1 n=len(graph)-1 dist=[] | Job related update

def bfs(graph,c,t):
s=1
n=len(graph)-1
dist=[]
pred=[]
color=[]
q=[]
count=0
for _ in range(len(graph)):
dist.append(9999)
pred.append(None)
color.append('w')
q.append(s)
dist[s]=0
color[s]='g'
while len(q)!=0:
u=q.pop(0)
if u==n:
break
count+=1
color[u]='b'
for i in graph[u]:
if color[i]=='w':
q.append(i)
color[i]='g'
dist[i]=dist[u]+c
pred[i]=u
return dist[n]

n,m,t,c=map(int,input().split())
graph=[[] for _ in range(n+1)]
for _ in range(m):
x,y=map(int,input().split())
graph[x].append(y)
graph[y].append(x)
time=bfs(graph,c,t)
signal='g'
signals=[None]
for _ in range(t):
signals.append('g')
for i in range(t,time+1):
if i==0:
continue
if (i//t)%2==0:
signals.append('g')
else:
signals.append('r')
for i in range(0,time,c):
if signals[i]=='r':
time+=(signals[i+1:].index('g'))

print(time)

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