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#F2225. Inna and Sequence

    ID: 2231 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 6 上传者: 标签>二分数据结构动态规划算法思想提高难度共享题库Codeforces英文题面题目来源题面语言

Inna and Sequence

题目描述

D. Inna and Sequence
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Dima's spent much time thinking what present to give to Inna and gave her an empty sequence w. Now they want to fill sequence w with numbers zero and one. For that, they decided to play an amusing game.

Before the game begins, Dima chooses m integers a1,a2,...,am (1≤a1<a2<...<am). Then Inna and Dima start playing, that is, adding numbers to sequence w. Each new number they choose is added to the end of the sequence. At some moments of time Dima feels that the game is going to end too soon (and he wants to play with Inna as long as possible), so he hits a table hard with his fist. At that the a1-th, a2-th, a3-th, ..., ak-th numbers from the beginning simultaneously fall out of the sequence (the sequence gets k numbers less). Here k is such maximum number that value ak doesn't exceed the current length of the sequence. If number a1 is larger than the current length of w, then nothing falls out of the sequence.

You are given the chronological sequence of events in the game. Each event is either adding a number to the end of sequence w or Dima's hit on the table. Calculate the sequence w after all these events happen.

Input

The first line of the input contains two integers n and m (1≤n,m≤106) showing how many events took place and how many numbers Dima chose.

The next line contains m distinct integers ai (1≤ai≤106) sorted in the increasing order.

Next n lines describe the events in the chronological order. Each line contains a single integer: -1, 0 or 1. Number -1 means that Dima hits the table. Number 0 means that Inna and Dima add number 0 to the end of the sequence. Number 1 means that Inna and Dima add number 1 to the end of the sequence.

Output

In a single line print a sequence of numbers 0 and 1 − the elements of the sequence after all events happen. Print the elements of the sequence in the order from the beginning to the end of the sequence.

If after all events the sequence ends up empty, print "Poor stack!".

Examples
Input
10 3
1 3 6
-1
1
1
0
0
-1
0
1
-1
1
Output
011
Input
2 1
1
1
-1
Output
Poor stack!

题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 1831 题。保留原作者与原赛事署名。