CodeForces

B. T-shirt buying

time limit per test

3 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

A new pack of n t-shirts came to a shop. Each of the t-shirts is characterized by three integers pi, ai and bi, where pi is the price of the i-th t-shirt, ai is front color of the i-th t-shirt and bi is back color of the i-th t-shirt. All values pi are distinct, and values ai and bi are integers from 1 to 3.

m buyers will come to the shop. Each of them wants to buy exactly one t-shirt. For the j-th buyer we know his favorite color cj.

A buyer agrees to buy a t-shirt, if at least one side (front or back) is painted in his favorite color. Among all t-shirts that have colors acceptable to this buyer he will choose the cheapest one. If there are no such t-shirts, the buyer won't buy anything. Assume that the buyers come one by one, and each buyer is served only after the previous one is served.

You are to compute the prices each buyer will pay for t-shirts.

Input

The first line contains single integer n (1 ≤ n ≤ 200 000) — the number of t-shirts.

The following line contains sequence of integers p1, p2, ..., pn (1 ≤ pi ≤ 1 000 000 000), where pi equals to the price of the i-th t-shirt.

The following line contains sequence of integers a1, a2, ..., an (1 ≤ ai ≤ 3), where ai equals to the front color of the i-th t-shirt.

The following line contains sequence of integers b1, b2, ..., bn (1 ≤ bi ≤ 3), where bi equals to the back color of the i-th t-shirt.

The next line contains single integer m (1 ≤ m ≤ 200 000) — the number of buyers.

The following line contains sequence c1, c2, ..., cm (1 ≤ cj ≤ 3), where cj equals to the favorite color of the j-th buyer. The buyers will come to the shop in the order they are given in the input. Each buyer is served only after the previous one is served.

Output

Print to the first line m integers — the j-th integer should be equal to the price of the t-shirt which the j-th buyer will buy. If the j-th buyer won't buy anything, print -1.

Examples

input

5300 200 400 500 9111 2 1 2 32 1 3 2 162 3 1 2 1 1

output

200 400 300 500 911 -1 

input

21000000000 11 11 222 1

output

1 1000000000 

题意：给定一堆衣服和价格 每个衣服有正反两面 每面都有颜色 每个顾客会选择自己喜欢的颜色并且价格最低的衣服 输出卖出衣服的顺序

思路：用优先队列维护每个衣服 贪心满足条件的价格最低的衣服

#include <iostream>#include <cstdio>#include <algorithm>#include <cstring>#include <queue>#include <stack>#include <vector>#define max_ 200010#define inf 0x3f3f3f3f#define ll long longusing namespace std;struct node{int num;int order;bool operator < (const node &a)const{return a.num<num;}}e;struct node p[max_];int n;bool vis[max_];priority_queue<node>q[4];int main(int argc, char const *argv[]){scanf("%d",&n);int i;for(i=1;i<=n;i++){scanf("%d",&p[i].num);p[i].order=i;}for(i=1;i<=n;i++){int x;scanf("%d",&x);q[x].push(p[i]);vis[i]=true;}for(i=1;i<=n;i++){int x;scanf("%d",&x);q[x].push(p[i]);}int m;scanf("%d",&m);while(m--){int x;scanf("%d",&x);while(1){if(q[x].size()==0){printf("-1 ");break;}else{e=q[x].top();q[x].pop();int v=e.order;if(vis[v]==false)continue;else{printf("%d ",e.num);vis[v]=false;break;}}}}return 0;}