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From book: 7. Let n0 be a given positive integer. For i = 0, 1, 2, ... define if

ID: 3530205 • Letter: F

Question

From book: 7. Let n0 be a given positive integer. For i = 0, 1, 2, ... define if ni is even, then ni+1 = ni/2 if ni is odd, then ni+1 = 3ni + 1 if ni is 1, the sequence ends Numbers that are generated this way are called hailstones. Write a program that generates some hailstones. Your program should use the function void hailstones(int n); to compute and print the sequence generated by n. The output of your program might look as follows: Hailstones generated by 77: 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1 Number of hailstones generated : 23 You might find that all the sequences you generate are finite. Whether this is true in general is still an open question. Hint: Use variables of type long instead of int if the program misbehaves From assignment sheet: You have to implement a function with the following prototype: void hailstones(int n); Example can be found in the textbook. The user only input the first hailstone number. All the rest and the total number of hailstones should be output by your program.

Explanation / Answer

global variable: count=0; void hailstones(int n) { count++; printf("%d", &n); if(n==1) return; if(n%2 == 0) hailstones(n/2); else hailstones(3*n + 1); } printf("Number of hailstones : %d",%count);

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