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A1152. [COCI-2008_2009-contest2]#3 PERKET

编程题 普及/提高-

题目描述

"Perket" is a widely known and delicious meal. For perket to be what it is, cooks must carefully choose the ingredients to get the fullest taste possible while keeping the meal traditional.
You have N ingredients at your disposal. For each we know its sourness S and bitterness B. When using multiple ingredients, the total sourness is the product of sourness amounts of all ingredients, while the total bitterness is the sum of bitterness amounts of all ingredients.
As everyone knows, perket is supposed to be neither sour nor bitter; we want to choose the ingredients so that the absolute difference between sourness and bitterness is the smallest.
Also, it is necessary to use at least one ingredient; you can't serve water as the main course.

输入格式

The first line contains the integer N (1 ≤ N ≤ 10), the number of ingredients at our disposal.
Each of the next N lines contains two integers separated by a space, the sourness and bitterness of each ingredient.
The input data will be such that, if we make a meal with all ingredients, both the sourness and bitterness will be less than 100000000
0.

输出格式

Output the smallest possible difference between sourness and bitterness.

输入输出样例

输入 #1
1 
3 10
输出 #1
7
输入 #2
2 
3 8 
5 8 
输出 #2
1
输入 #3
4 
1 7 
2 6 
3 8 
4 9 
输出 #3
1

说明/提示

In the third example, we choose the last three ingredients. The total sourness is then 2·3·4=24 and
bitterness is 6+8+9=23. The difference is 1.
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