Math Is Fun Forum

brjohnsmith

Novice

Registered: 2023-10-12

Posts: 1

Algorithm - 2 sequence numbers

Hi, I need a mathematic algorithm only (not code) to solve the follow scenario:
Quantity of the items, from 1 to 200.
Quantity of the validation (checking), from 1 to 6 for each validation
Goal: to get the 2-sequence numbers - always a pair.
Example: (1-200) Items: 4
(3 checks) Item #1 / Checking: 3
(1 check ) Item #2 / Checking: 1
(4 checks) Item #3 / Checking: 4
(2 checks) Item #4 / Checking: 2
See below the example.                           
How can I get the 2-sequence numbers? for the checks that does not have numbers, it could be filled out with a zero or negative number. Remember, no coding, only math code, see example below:
For the first value: QtyItems*QtyChecking/2
For the second value: QtyItems*QtyChecking/2 + 1
Thank you.

#. 
Item    Check #1       Check #2      Check #3         Check #4       Check #5          Check #6
I001    1 and 2          3 and 4         5 and 6         (0 or <0)        (0 or <0)            (0 or <0)
I002    7 and 8          (0 or <0)       (0 or <0)       (0 or <0)       (0 or <0)          (0 or <0)
I003    9 and 10         11 and 12     13 and 14       15 and 16     (0 or <0).          (0 or <0)
I004    17 and 18       19 and 20      (0 or <0)        (0 or <0)      (0 or <0)             (0 or <0)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,618

Re: Algorithm - 2 sequence numbers

hi brjohnsmith

Welcome to the forum.

Sorry, I'm a bit thick here. I haven't understood what you are doing at all.

What are the items? Have you got 200 of them? Validation means checking the 'truth' of something. eg. You've made an electrical item and want to check it works.  You've solved an equation and want to check the answer works for the given problem. Why would you want 6 checks. Are these different checks and why do some need more checks than others.

Please go back ten steps and assume I'm an idiot. I won't be offended.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Robert-not-Smart-enough

Novice

Registered: 2024-04-08

Posts: 2

Re: Algorithm - 2 sequence numbers

To generate the 2-sequence numbers for each check, you can use the following algorithm:

For the first value in the sequence (check #1), calculate it as follows:

Multiply the number of items by the number of checks per item.

Divide the result by 2.

For the second value in the sequence (check #2), calculate it as follows:

Multiply the number of items by the number of checks per item.

Divide the result by 2.

Add 1 to the result obtained from step 2.

Using this algorithm, you can determine the 2-sequence numbers for each check in the scenario provided.

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