CF865D.Buy Low Sell High

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题目描述

You can perfectly predict the price of a certain stock for the next NN days. You would like to profit on this knowledge, but only want to transact one share of stock per day. That is, each day you will either buy one share, sell one share, or do nothing. Initially you own zero shares, and you cannot sell shares when you don't own any. At the end of the NN days you would like to again own zero shares, but want to have as much money as possible.

输入格式

Input begins with an integer NN (2<=N<=3105)(2<=N<=3·10^{5}) , the number of days.

Following this is a line with exactly NN integers p1,p2,...,pNp_{1},p_{2},...,p_{N} (1<=pi<=106)(1<=p_{i}<=10^{6}) . The price of one share of stock on the ii -th day is given by pip_{i} .

输出格式

Print the maximum amount of money you can end up with at the end of NN days.

输入输出样例

  • 输入#1

    9
    10 5 4 7 9 12 6 2 10
    

    输出#1

    20
    
  • 输入#2

    20
    3 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4
    

    输出#2

    41
    

说明/提示

In the first example, buy a share at 55 , buy another at 44 , sell one at 99 and another at 1212 . Then buy at 22 and sell at 1010 . The total profit is 54+9+122+10=20-5-4+9+12-2+10=20 .

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