PIGS

Time Limit: 1000MS		Memory Limit: 10000K
Total Submissions: 15721		Accepted: 7021

Description

Mirko works on a pig farm that consists of M locked pig-houses and Mirko can't unlock any pighouse because he doesn't have the keys. Customers come to the farm one after another. Each of them has keys to some pig-houses and wants to buy a certain number of pigs. 
All data concerning customers planning to visit the farm on that particular day are available to Mirko early in the morning so that he can make a sales-plan in order to maximize the number of pigs sold. 
More precisely, the procedure is as following: the customer arrives, opens all pig-houses to which he has the key, Mirko sells a certain number of pigs from all the unlocked pig-houses to him, and, if Mirko wants, he can redistribute the remaining pigs across the unlocked pig-houses. 
An unlimited number of pigs can be placed in every pig-house. 
Write a program that will find the maximum number of pigs that he can sell on that day.

Input

The first line of input contains two integers M and N, 1 <= M <= 1000, 1 <= N <= 100, number of pighouses and number of customers. Pig houses are numbered from 1 to M and customers are numbered from 1 to N. 
The next line contains M integeres, for each pig-house initial number of pigs. The number of pigs in each pig-house is greater or equal to 0 and less or equal to 1000. 
The next N lines contains records about the customers in the following form ( record about the i-th customer is written in the (i+2)-th line): 
A K1 K2 ... KA B It means that this customer has key to the pig-houses marked with the numbers K1, K2, ..., KA (sorted nondecreasingly ) and that he wants to buy B pigs. Numbers A and B can be equal to 0.

Output

The first and only line of the output should contain the number of sold pigs.

Sample Input

3 3
3 1 10
2 1 2 2
2 1 3 3
1 2 6

Sample Output

7

Source

Croatia OI 2002 Final Exam - First day 解题报告 昨天開始学网络流，这是第一题网络流建图的题。 题目意思： 养猪场M个猪圈。每一个猪圈都上锁，主人又没有钥匙。N个顾客买猪。且每一个顾客有一些猪圈的钥匙（这是什么情况，主人没有钥匙。反而买主有钥匙。sad...） 一天，要到养猪场买猪的顾客都会提前告诉养猪场主人。包含拥有的钥匙。买几头猪。养猪场主人能够安排销售计划使得卖出去的猪数目最大。 每当顾客来了。会把他拥有钥匙的猪圈全都打开，养猪场主人挑一些猪买出去，养猪场主人还能够又一次分配被打开猪圈的猪。