Program To Calculate Hailstone Sequences
A specific Hailstone sequence can be easily computed, as is shown by this pseudocode example:
- function hailstone(n)
- while n > 1
- show n
- if n is odd then
- set n = 3n + 1
- else
- set n = n / 2
- endif
- endwhile
- show n
- while n > 1
This program halts when the sequence reaches 1, in order to avoid printing an endless cycle of 4, 2, 1. If the Collatz conjecture is true, the program will always halt (stop) no matter what positive starting integer is given to it.
Read more about this topic: Collatz Conjecture
Famous quotes containing the words program, calculate and/or hailstone:
“Chippenhook was the home of Judge Theophilus Harrington, known for his trenchant reply to an irate slave-owner in a runaway slave case. Judge Harrington declared that the owners claim to the slave was defective. The owner indignantly demanded to know what was lacking in his legally sound claim. The Judge exploded, A bill of sale, sir, from God Almighty!”
—For the State of Vermont, U.S. public relief program (1935-1943)
“However others calculate the cost,
To us the final aggregate is one,
One with a name, one transferred to the blest;
And though another stoops and takes the gun,
We cannot add the second to the first.”
—Karl Shapiro (b. 1913)
“You are no surer, no,
Than is the coal of fire upon the ice,
Or hailstone in the sun.”
—William Shakespeare (15641616)