Wolf and Rabbit
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 7646 Accepted Submission(s): 3844
Problem Description
There is a hill with n holes around. The holes are signed from 0 to n-1.
A
rabbit must hide in one of the holes. A wolf searches the rabbit in
anticlockwise order. The first hole he get into is the one signed with
0. Then he will get into the hole every m holes. For example, m=2 and
n=6, the wolf will get into the holes which are signed 0,2,4,0. If the
rabbit hides in the hole which signed 1,3 or 5, she will survive. So we
call these holes the safe holes.
Input
The
input starts with a positive integer P which indicates the number of
test cases. Then on the following P lines,each line consists 2 positive
integer m and n(0<m,n<2147483648).
Output
For each input m n, if safe holes exist, you should output "YES", else output "NO" in a single line.
Sample Input
2
1 2
2 2
Sample Output
NO
YES
Author
weigang Lee
Source
判断n能否整除m(m!=1)。
The 3n + 1 problem
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 35393 Accepted Submission(s): 12830
Problem Description
Problems
in Computer Science are often classified as belonging to a certain
class of problems (e.g., NP, Unsolvable, Recursive). In this problem you
will be analyzing a property of an algorithm whose classification is
not known for all possible inputs.
Consider the following algorithm:
1. input n
2. print n
3. if n = 1 then STOP
4. if n is odd then n <- 3n + 1
5. else n <- n / 2
6. GOTO 2
Given the input 22, the following sequence of numbers will be printed 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1
It
is conjectured that the algorithm above will terminate (when a 1 is
printed) for any integral input value. Despite the simplicity of the
algorithm, it is unknown whether this conjecture is true. It has been
verified, however, for all integers n such that 0 < n < 1,000,000
(and, in fact, for many more numbers than this.)
Given an input
n, it is possible to determine the number of numbers printed (including
the 1). For a given n this is called the cycle-length of n. In the
example above, the cycle length of 22 is 16.
For any two numbers i and j you are to determine the maximum cycle length over all numbers between i and j.
Input
The
input will consist of a series of pairs of integers i and j, one pair
of integers per line. All integers will be less than 1,000,000 and
greater than 0.
You should process all pairs of integers and for
each pair determine the maximum cycle length over all integers between
and including i and j.
You can assume that no opperation overflows a 32-bit integer.
Output
For
each pair of input integers i and j you should output i, j, and the
maximum cycle length for integers between and including i and j. These
three numbers should be separated by at least one space with all three
numbers on one line and with one line of output for each line of input.
The integers i and j must appear in the output in the same order in
which they appeared in the input and should be followed by the maximum
cycle length (on the same line).
Sample Input
1 10
100 200
201 210
900 1000
Sample Output
1 10 20
100 200 125
201 210 89
900 1000 174
Source
暴力。
注意：像这种会给出两个数范围的题，前一个数可能比后一个数大！
代码略。