import sys
input = sys.stdin.readline

from heapq import heappop,heappush

N,K=map(int,input().split())
sx,sy,gx,gy=map(int,input().split())
P=[list(map(int,input().split())) for i in range(N)]

P.append([sx,sy])
P.append([gx,gy])

OK=2*10**5
NG=0

while OK>NG+1:
    mid=(OK+NG)//2

    DP=[K+1]*(N+2)
    DP[N]=0

    Q=[(0,N)]

    while Q:
        dis,ind=heappop(Q)

        x,y=P[ind]

        for i in range(N+2):
            z,w=P[i]

            dis=abs(x-z)+abs(y-w)
            dis-=mid

            k=max(0,(dis+mid-1)//mid)

            if DP[i]>DP[ind]+k:
                DP[i]=DP[ind]+k
                heappush(Q,(DP[i],i))

    if DP[N+1]<=K:
        OK=mid
    else:
        NG=mid

print(OK)