Flowchart & Array Negation

BOOK D1, PAGE 130

Flowchart Simulation

1
Initialize
j = 1
P[1] = 1
2
Check Condition
j < 5?
3
Decision
P[j] ≥ 5?
4
Update
If YES: P[j+1] = P[j] - 5
If NO: P[j+1] = P[j] × 3
5
Increment
j = j + 1
6
Result
Final Array P
1
P[1]
?
P[2]
?
P[3]
?
P[4]
?
P[5]
Current Status:
Initializing array P. j = 1, P[1] = 1
Algorithm Explanation:
This flowchart initializes P[1] to 1. For each j from 1 to 4:
- If P[j] ≥ 5, then P[j+1] = P[j] - 5
- Else P[j+1] = P[j] × 3
After processing, we find the largest value in the array.

Array Negation Game

Forward
Backward
↓
-1
2
-1
1
-1
Current Operation:
Forward: Negating each element (x becomes -x)
Negation Algorithm:
The algorithm performs: for k from 1 to 5: AR[k] ← AR[k] × (-1)
This means each element is multiplied by -1, changing its sign.
In backward mode, we reverse the operation to find the original array.

Educational Explanation

Flowchart Simulation: This interactive demo shows how the array P is built step by step. The algorithm starts with P[1]=1 and for each subsequent position, it either subtracts 5 (if the current value is ≥5) or multiplies by 3 (if less than 5). The final array is [1, 3, 9, 4, 12], with the largest value being 12 at P[5].

Array Negation: This demonstrates a simple loop that negates each element in an array (multiplies by -1). In forward mode, you see how the array transforms. In backward mode, you can enter the final array and see what the initial array must have been before negation.

Learning Objectives: Understand how algorithms process arrays step-by-step, learn how to trace values through iterations, and see how operations can be reversed when the transformation is known.