class UnionFind_AB:
    def __init__(self, N):
        self.p = [-1] * N
        self.L = [i for i in range(N)]
        self.R = [i for i in range(N)]
    def root(self, x):
        while self.p[x] >= 0:
            x = self.p[x]
        return x
 
    def same(self, x, y):
        return self.root(x) == self.root(y)
 
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x == y:
            return
        p = self.p
        if p[x] > p[y]:
            p[y] += p[x]
            p[x] = y
            if self.L[y] > self.L[x]:
                self.L[y] = self.L[x]
            if self.R[y] < self.R[x]:
                self.R[y] = self.R[x]
        else:
            p[x] += p[y]
            p[y] = x
            if self.L[x] > self.L[y]:
                self.L[x] = self.L[y]
            if self.R[x] < self.R[y]:
                self.R[x] = self.R[y]
 
    def size(self, x):
        return -self.p[self.root(x)]
    def left(self, v):
        return self.L[self.root(v)]
    def right(self,v):
        return self.R[self.root(v)]

class UnionFind_IDX:
    def __init__(self, N):
        self.p = [-1] * N
        self.num_pair = [0] * N
        self.score = 0
 
    def root(self, x):
        while self.p[x] >= 0:
            x = self.p[x]
        return x
 
    def same(self, x, y):
        return self.root(x) == self.root(y)
 
    def unite(self, x, y):
        x = self.root(x)
        y = self.root(y)
        if x == y:
            return
        self.score -= self.sub_score(x) + self.sub_score(y)
        p = self.p
        if p[x] > p[y]:
            p[y] += p[x]
            p[x] = y
            self.num_pair[y] += self.num_pair[x]
            self.score += self.sub_score(y)
        else:
            p[x] += p[y]
            p[y] = x
            self.num_pair[x] += self.num_pair[y]
            self.score += self.sub_score(x)

    def add_pair(self,v):
        rv = self.root(v)
        self.score -= self.sub_score(rv)
        self.num_pair[rv]+=1
        self.score += self.sub_score(rv)
    def size(self, x):
        return -self.p[self.root(x)]
    def sub_score(self,v):
        return min(-self.p[self.root(v)],self.num_pair[self.root(v)])

import sys
from collections import deque

def main():
    input = sys.stdin.buffer.readline
    n = int(input())
    a = list(map(int,input().split()))
    b = list(map(int,input().split()))
    z = list(map(int,input().split()))

    ida = [-1]*n
    idb = [-1]*n
    rn = range(n)
    for i in rn:
        a[i]-=1
        b[i]-=1
        z[i]-=1
        ida[a[i]]=i
        idb[b[i]]=i

    pos_left = [-1]*n
    l = [-1]*n
    r = [n]*n
    mid = [[] for i in rn]
    for _ in [0]*(17):
        for i in rn:
            if r[i]-l[i]>1:
                mid[(l[i]+r[i])//2].append(i)

        ufa = UnionFind_AB(n)
        ufb = UnionFind_AB(n)
        for k in rn:
            ia = ida[k]
            ib = idb[k]
            if 0<ia and a[ia-1]<=k:
                ufa.unite(ia-1,ia)
            if ia+1<n and a[ia+1]<=k:
                ufa.unite(ia,ia+1)
            if 0<ib and b[ib-1]<=k:
                ufb.unite(ib-1,ib)
            if ib+1<n and b[ib+1]<=k:
                ufb.unite(ib,ib+1)
        
            for j in mid[k]:
                la, ra = ufa.left(ida[j]),ufa.right(ida[j])
                lb, rb = ufb.left(idb[z[j]]),ufb.right(idb[z[j]])

                if ra < lb or rb < la:
                    l[j] = k
                else:
                    r[j] = k
                    pos_left[j] = max(la,lb)
            mid[k].clear()

    for i in rn:
        mid[r[i]].append(i)

    less_k = [0]*n
    ufi = UnionFind_IDX(n)
    ans = []
    for k in rn:
        ia, ib = ida[k],idb[k]
        less_k[ia]+=1
        less_k[ib]+=1
        if less_k[ia]==2:
            if 0<ia and less_k[ia-1]==2:
                ufi.unite(ia-1,ia)
            if ia+1<n and less_k[ia+1]==2:
                ufi.unite(ia,ia+1)
        if less_k[ib]==2:
            if 0<ib and less_k[ib-1]==2:
                ufi.unite(ib-1,ib)
            if ib+1<n and less_k[ib+1]==2:
                ufi.unite(ib,ib+1)
        for j in mid[k]:
            ufi.add_pair(pos_left[j])
        ans.append(ufi.score)

    print("\n".join(map(str,ans)))

if __name__=='__main__':
    main()