The 3n+ 1 problem is based on a famous sequence in mathematics that follows a very simple rule: • If the number is even, the next number in the sequence is its half, • If the number is odd, the next number in the sequence is three times the number plus one. In mathematical notation, the 3n+ 1 problem sequence is given as: an+1 = if an is even if an is odd 3an +1 It has been conjectured that for any positive integer number, the sequence will always end in 4, 2, 1. So, if the sequence starts with 7, the sequence is 7 22 11 34 17 52 26 13 40 20 10 5 168421 In this task, you are required to write a program that takes as input two positive inputs, one for the start of the sequence, followed by an index. Your code must: • Generate the above sequence inside a 1D array. Your code must stop when it reaches the last number (i.e., 1). • Your code must print the sequence number specified by the index. If the input index is larger than the sequence length, then the code outputs NA • Your code must also find and print the highest number the sequence reaches. • You must check if the inputs are positive numbers; otherwise, convert them to a positive number. • You must ensure if the start point is not a zero or one; otherwise, print out "Invalid"

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please can you do that in c++
Sample Testcase 0:

Input:

7
8

Output:

40
52
Sample Testcase 1:

Input:

7
19

Output:

NA
52
Sample Testcase 2:

Input:

-10
-5

Output:

2
16
 
 
 
 
 
 
 
 
 
 
 
#include <iostream>
 
 
#include <cmath>
 
using namespace std;
 
 
int main()
 
 
{
 
   int array[1000] = {};
 
   int start = 0;
 
   int numAtIndex  = 0;
 
   cin>>start;
 
   cin>>numAtIndex;
 
 
   // Your code start here
 
 
   // Your code end here
 
 
   return 0;
 
 
}
 
 
 
The 3n+ 1 problem is based on a famous sequence in mathematics that follows a very simple rule:
• If the number is even, the next number in the sequence is its half,
• If the number is odd, the next number in the sequence is three times the number plus one.
In mathematical notation, the 3n+ 1 problem sequence is given as:
an
if an is even
2
an+1 =
3an
+1
if an is odd
It has been conjectured that for any positive integer number, the sequence will always end in 4, 2, 1.
So, if the sequence starts with 7, the sequence is 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1
In this task, you are required to write a program that takes as input two positive inputs, one for the start of the sequence, followed by an index.
Your code must:
• Generate the above sequence inside a 1D array. Your code must stop when it reaches the last number (i.e., 1).
• Your code must print the sequence number specified by the index. If the input index is larger than the sequence length, then the code outputs NA
• Your code must also find and print the highest number the sequence reaches.
• You must check if the inputs are positive numbers; otherwise, convert them to a positive number.
• You must ensure if the start point is not a zero or one; otherwise, print out "Invalid"
Transcribed Image Text:The 3n+ 1 problem is based on a famous sequence in mathematics that follows a very simple rule: • If the number is even, the next number in the sequence is its half, • If the number is odd, the next number in the sequence is three times the number plus one. In mathematical notation, the 3n+ 1 problem sequence is given as: an if an is even 2 an+1 = 3an +1 if an is odd It has been conjectured that for any positive integer number, the sequence will always end in 4, 2, 1. So, if the sequence starts with 7, the sequence is 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1 In this task, you are required to write a program that takes as input two positive inputs, one for the start of the sequence, followed by an index. Your code must: • Generate the above sequence inside a 1D array. Your code must stop when it reaches the last number (i.e., 1). • Your code must print the sequence number specified by the index. If the input index is larger than the sequence length, then the code outputs NA • Your code must also find and print the highest number the sequence reaches. • You must check if the inputs are positive numbers; otherwise, convert them to a positive number. • You must ensure if the start point is not a zero or one; otherwise, print out "Invalid"
IMPORTANT NOTE
• Do not add any cout statements except for the final answers as specified above.
• Do not add "Enter a number", "the number of digits is" or any similar prompts.
• Also note that the automatic grader is case-sensitive; so "na" is wrong but "NA" is correct.
• Do not add any unnecessary spaces inside the strings of cout statements " " unless we ask you to.
• You may add any libraries needed.
1/0
Program Input:
• One number that indicates the starting number of the sequence
• One number that specified the index of the number to be printed from the sequence
Program Output:
• One line that prints the sequence number at the specified index
• One line that outputs the highest number in the sequence.
Transcribed Image Text:IMPORTANT NOTE • Do not add any cout statements except for the final answers as specified above. • Do not add "Enter a number", "the number of digits is" or any similar prompts. • Also note that the automatic grader is case-sensitive; so "na" is wrong but "NA" is correct. • Do not add any unnecessary spaces inside the strings of cout statements " " unless we ask you to. • You may add any libraries needed. 1/0 Program Input: • One number that indicates the starting number of the sequence • One number that specified the index of the number to be printed from the sequence Program Output: • One line that prints the sequence number at the specified index • One line that outputs the highest number in the sequence.
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