1174. C Looooops

单点时限: 2.0 sec

内存限制: 256 MB

A Compiler Mystery: We are given a C-language style for loop of type

for (variable = A; variable != B; variable += C)

statement;

I.e., a loop which starts by setting variable to value A and while variable is not equal to B, repeats statement followed by increasing the variable by C. We want to know how many times does the statement get executed for particular values of A, B and C, assuming that all arithmetics is calculated in a k-bit unsigned integer type (with values 0<=x < 2^k) modulo 2^k.

输入格式

The input consists of several instances. Each instance is described by a single line with four integers A, B, C, k separated by a single space. The integer k (1<=k<=32) is the number of bits of the control variable of the loop and A, B, C (0<=A, B, C < 2^k) are the parameters of the loop.

The input is finished by a line containing four zeros.

输出格式

The output consists of several lines corresponding to the instances on the input. The i-th line contains either the number of executions of the statement in the i-th instance (a single integer number) or the word FOREVER if the loop does not terminate.

样例

Input
3 3 2 16
3 7 2 16
7 3 2 16
3 4 2 16
0 0 0 0
Output
0
2
32766
FOREVER

5 人解决,19 人已尝试。

6 份提交通过,共有 78 份提交。

8.7 EMB 奖励。

创建: 12 年,8 月前.

修改: 2 年,5 月前.

最后提交: 1 年,7 月前.

来源: CTU Open 2004

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