|Online Judge||Problem Set||Authors||Online Contests||User|
A Mysterious Function
For any integers p and q with q > 0, define p mod q to be the integer r with 0 <= r <= q −1 such that p−r is divisible by q. For example, we have
−7 mod 3 = 2
−56 mod 7 = 0
Let Φ be a function defined recursively as follows.
where a, b, c, d, e, f, g, h are integers with 0 < a, b, c, d, e, f, g, h <= 1000. One can easily see that 0 <= Φ(i) <= 1000 holds for any integer i >= 0. Now for any given integers a, b, c, d, e, f, g, h, i with 0 < a, b, c, d, e, f, g, h, i <= 1000, you are asked to write a program to output
Φ(i). (Hint: a direct recursive implementation of the above recurrence
relation is likely to run forever for large i.)
The first line contains the number n of test cases. Each of the following n lines contains the sequence a, b, c, d, e, f, g, h, i of integers.
For each test case, your program has to output the correct value of Φ(i).
3 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 321 322 323 324 325 326 327 328 329
4 0 90
[Submit] [Go Back] [Status] [Discuss]
Home Page Go Back To top
All Rights Reserved 2003-2013 Ying Fuchen,Xu Pengcheng,Xie Di
Any problem, Please Contact Administrator