L - 2的幂次方

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题目描述
Time Limit: 1000 ms
Memory Limit: 256 mb

Every positive number can be presented by the exponential form.For example, 137 = 2^7 + 2^3 + 2^0。     Let's present a^b by the form a(b).Then 137 is presented by 2(7)+2(3)+2(0). Since 7 = 2^2 + 2 + 2^0 and 3 = 2 + 2^0 , 137 is finally presented by 2(2(2)+2 +2(0))+2(2+2(0))+2(0).        Given a positive number n,your task is to present n with the exponential form which only contains the digits 0 and 2.

输入输出格式
输入描述:
For each case, the input file contains a positive integer n (n<=20000).
输出描述:
For each case, you should output the exponential form of n an a single line.Note that,there should not be any additional white spaces in the line.
输入输出样例
输入样例#:
1315
输出样例#:
复制
2(2(2+2(0))+2)+2(2(2+2(0)))+2(2(2)+2(0))+2+2(0)
题目来源
上海交通大学机试题

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