0 人解决，4 人已尝试。
0 份提交通过，共有 10 份提交。
9.9 EMB 奖励。
单点时限: 2.0 sec
内存限制: 256 MB
Every member of Byteland Credit Society is entitled to loan any amount of Bytelandish ducats unless it is 10^30 or more, but he has to return the whole amount within seven days. There are 100 ATMs in the Client Service Room of the Society. They are numbered from 0 to 99. Every ATM can perform one action only: it can pay or receive a fixed amount. The i-th ATM pays 2^i ducats if i is even or it receives 2^i ducats if i is odd. If a client is going to loan a fixed sum of money it is necessary to check if he is able to get the money using every ATM at most once. If so, numbers of ATMs he has to use should be determined. It is also necessary to check if the client can return the money in a similar way, and if so, to determine numbers of ATMs he has to use.
Example
A client who is going to loan 7 ducats gets 16 ducats from the ATM No 4 and 1 ducat from the ATM No 0 and then he returns 8 ducats in the ATM No 3 and 2 ducats in the ATM No 1. In order to return the amount of 7 ducats he receives 1 ducat from the ATM No 0 and then he returns 8 ducats in ATM No 3.
Task
Write a program that:
1.reads the number of clients n and then, for every client reads from the same file the amount of money he is going to loan;
2.checks for every client if he is able to get the money using every ATM at most once and if so, determines the numbers of ATMs he has to use;
3.writes the results.
In the first line of the input there is one positive integer n <= 1000, which equals the number of clients.
In each of the following n lines there is one positive integer less than 10^30 (at most 30 decimal digits). The number in the i-th line describes the amount which the client i is going to loan.
In each of 2n lines of the output there should be written a decreasing sequence of positive integers from the range [0..99] separated by single spaces, or one word NIE (which means NO in Polish):
1.In the first line of the i-th pair of lines there should be numbers of ATMs (in decreasing order) that the client i should use to get his loan or one word NIE if the loan cannot be received according to the rules;
2.In the second line of the i-th pair there should be numbers of ATMs (in decreasing order) which the client i should use to return his loan or the word NIE.
2 7 633825300114114700748351602698
4 3 1 0 3 0 NIE 99 3 1
0 人解决，4 人已尝试。
0 份提交通过，共有 10 份提交。
9.9 EMB 奖励。