CF631C.Report

普及/提高-

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题目描述

Each month Blake gets the report containing main economic indicators of the company "Blake Technologies". There are nn commodities produced by the company. For each of them there is exactly one integer in the final report, that denotes corresponding revenue. Before the report gets to Blake, it passes through the hands of mm managers. Each of them may reorder the elements in some order. Namely, the ii -th manager either sorts first rir_{i} numbers in non-descending or non-ascending order and then passes the report to the manager i+1i+1 , or directly to Blake (if this manager has number i=mi=m ).

Employees of the "Blake Technologies" are preparing the report right now. You know the initial sequence aia_{i} of length nn and the description of each manager, that is value rir_{i} and his favourite order. You are asked to speed up the process and determine how the final report will look like.

输入格式

The first line of the input contains two integers nn and mm ( 1<=n,m<=2000001<=n,m<=200000 ) — the number of commodities in the report and the number of managers, respectively.

The second line contains nn integers aia_{i} ( ai<=109|a_{i}|<=10^{9} ) — the initial report before it gets to the first manager.

Then follow mm lines with the descriptions of the operations managers are going to perform. The ii -th of these lines contains two integers tit_{i} and rir_{i} (, 1<=ri<=n1<=r_{i}<=n ), meaning that the ii -th manager sorts the first rir_{i} numbers either in the non-descending (if ti=1t_{i}=1 ) or non-ascending (if ti=2t_{i}=2 ) order.

输出格式

Print nn integers — the final report, which will be passed to Blake by manager number mm .

输入输出样例

  • 输入#1

    3 1
    1 2 3
    2 2
    

    输出#1

    2 1 3 
  • 输入#2

    4 2
    1 2 4 3
    2 3
    1 2
    

    输出#2

    2 4 1 3 

说明/提示

In the first sample, the initial report looked like: 1 2 3. After the first manager the first two numbers were transposed: 2 1 3. The report got to Blake in this form.

In the second sample the original report was like this: 1 2 4 3. After the first manager the report changed to: 4 2 1 3. After the second manager the report changed to: 2 4 1 3. This report was handed over to Blake.

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