using python manim code like 3 blue 1 brow youtup channels 

i want to animate the process of computing the prefix sum form an input array okii 

the secaniro in my mind is like this 

first we have a title come from the center of screan the then go into the top of the scren smoothly 

the script in it is called “Prefix Sum” 

You want to create a Manim animation to demonstrate computing the prefix sum from an input array. Here’s the sequence:

1. **Title Animation**: A title, “Prefix Sum,” appears in the center of the screen, then smoothly moves to the top of the screen.

Q- let’s now use a divide and conquer approch here 

Q- try to give me until  now the python script to do this 

Q- fitst create a step by step tutor to do it

Q- the code until now is correct just remove the yellow line when the Title arrive up okii

from manim import *

class PrefixSumAnimation(Scene):
def construct(self):
# Step 1: Create and animate the title
title = Text("Prefix Sum", font_size=48)

```
    # Initial animation: Fade in the title at center
    self.play(
        FadeIn(title, shift=UP),
        run_time=1.5
    )

    # Move title to the top of the screen
    self.play(
        title.animate.to_edge(UP, buff=0.5),
        run_time=1.5
    )

    # Wait before proceeding to the next steps
    self.wait(1)

    # Step 2: Here, we'll add the array visualization in future steps
    # For now, this code handles the title animation setup

# Helper function to create a visual representation of an array
def create_array_visual(self, numbers, scale=0.6, buff=0.3):
    squares = VGroup()
    numbers_text = VGroup()

    for i, num in enumerate(numbers):
        square = Square(side_length=1)
        number = Text(str(num))

        # Scale and position the elements
        square.scale(scale)
        number.scale(scale)

        # Position each square next to the previous one
        if i > 0:
            square.next_to(squares[-1], RIGHT, buff=buff)

        # Center the number in its square
        number.move_to(square.get_center())

        squares.add(square)
        numbers_text.add(number)

    return VGroup(squares, numbers_text)

# Helper function to create a pointer indicator
def create_pointer(self, text="", scale=0.5, color=RED):
    triangle = Triangle(color=color).scale(scale).rotate(-PI/2)
    if text:
        label = Text(text).scale(scale)
        label.next_to(triangle, UP)
        return VGroup(triangle, label)
    return triangle

```

Q- next we need to create the input arrays okii will be called “nums” okii 

Q- it will arrive form the left side of the screan okii 

liks this nums = [1,2,3,4,5] 

Q- just add this flow to me oki

```python
from manim import *

class PrefixSumAnimation(Scene):
    def construct(self):
        # Step 1: Create and animate the title
        title = Text("Prefix Sum", font_size=48)
        
        # Initial animation: Fade in the title at center
        self.play(
            FadeIn(title, shift=UP),
            run_time=1.5
        )
        
        # Move title to the top of screen
        self.play(
            title.animate.to_edge(UP, buff=0.5),
            run_time=1.5
        )
        
        # Wait before proceeding to next steps
        self.wait(1)

        # Step 2: Create and animate the input array
        nums=[1,2,3,4,5]
        
        # Create the full array text with label
        array_text = Text("nums = ", font_size=32).to_edge(LEFT, buff=1)
        array_visual = self.create_array_visual(nums)
        
        # Position array visual immediately after the text
        array_visual.next_to(array_text, RIGHT, buff=0.2)
        
        # Group them together
        whole_array = VGroup(array_text, array_visual)
        whole_array.move_to(ORIGIN)  # Center the whole group
        whole_array.shift(UP * 1)    # Move up slightly
        
        # Start from off-screen
        whole_array.shift(LEFT * 14)
        
        # Animate the array coming in from the left
        self.play(
            whole_array.animate.shift(RIGHT * 14),
            run_time=2
        )
        
        # Add a small pause
        self.wait(1)

    def create_array_visual(self, numbers, scale=0.6, buff=0.3):
        squares = VGroup()
        numbers_text = VGroup()
        
        for i, num in enumerate(numbers):
            square = Square(side_length=1)
            number = Text(str(num))
            
            # Scale and position the elements
            square.scale(scale)
            number.scale(scale)
            
            # Position each square next to the previous one
            if i > 0:
                square.next_to(squares[-1], RIGHT, buff=buff)
            
            # Center the number in its square
            number.move_to(square.get_center())
            
            squares.add(square)
            numbers_text.add(number)
        
        return VGroup(squares, numbers_text)

    def create_pointer(self, text="", scale=0.5, color=RED):
        triangle = Triangle(color=color).scale(scale).rotate(-PI/2)
        if text:
            label = Text(text).scale(scale)
            label.next_to(triangle, UP)
            return VGroup(triangle, label)
        return triangle
```

Q- now let’s move to the next  part which the most diffoicutl part 

juust create another array with the same length just filled with zeros oki called “prefix_sum=”

Q- focus only in the part okii and move next 

from manim import *

class PrefixSumAnimation(Scene):
def construct(self):
# Step 1: Create and animate the title
title = Text("Prefix Sum", font_size=48)

```
    # Initial animation: Fade in the title at center
    self.play(
        FadeIn(title, shift=UP),
        run_time=1.5
    )

    # Move title to the top of screen
    self.play(
        title.animate.to_edge(UP, buff=0.5),
        run_time=1.5
    )

    # Wait before proceeding to next steps
    self.wait(1)

    # Step 2: Create and animate the input array
    nums = [1,2,3,4,5]

    # Create the input array visualization
    array_text = Text("nums = ", font_size=32).to_edge(LEFT, buff=1)
    array_visual = self.create_array_visual(nums)

    # Position array visual immediately after the text
    array_visual.next_to(array_text, RIGHT, buff=0.2)

    # Group them together
    whole_array = VGroup(array_text, array_visual)
    whole_array.move_to(ORIGIN)  # Center the whole group
    whole_array.shift(UP * 1)    # Move up slightly

    # Start from off-screen
    whole_array.shift(LEFT * 14)

    # Animate the array coming in from the left
    self.play(
        whole_array.animate.shift(RIGHT * 14),
        run_time=2
    )

    self.wait(1)

    # Step 3: Create and animate the prefix sum array
    prefix_sum = [0] * len(nums)  # Initialize with zeros

    # Create the prefix sum array visualization
    prefix_text = Text("prefix_sum = ", font_size=32).to_edge(LEFT, buff=1)
    prefix_visual = self.create_array_visual(prefix_sum)

    # Position prefix array visual immediately after the text
    prefix_visual.next_to(prefix_text, RIGHT, buff=0.2)

    # Group prefix array elements
    whole_prefix = VGroup(prefix_text, prefix_visual)

    # Position the prefix array below the input array
    whole_prefix.next_to(whole_array, DOWN, buff=1)

    # Start from off-screen (right side this time for variety)
    whole_prefix.shift(RIGHT * 14)

    # Animate the prefix sum array coming in from the right
    self.play(
        whole_prefix.animate.shift(LEFT * 14),
        run_time=2
    )

    self.wait(1)

def create_array_visual(self, numbers, scale=0.6, buff=0.3):
    squares = VGroup()
    numbers_text = VGroup()

    for i, num in enumerate(numbers):
        square = Square(side_length=1)
        number = Text(str(num))

        # Scale and position the elements
        square.scale(scale)
        number.scale(scale)

        # Position each square next to the previous one
        if i > 0:
            square.next_to(squares[-1], RIGHT, buff=buff)

        # Center the number in its square
        number.move_to(square.get_center())

        squares.add(square)
        numbers_text.add(number)

    return VGroup(squares, numbers_text)

def create_pointer(self, text="", scale=0.5, color=RED):
    triangle = Triangle(color=color).scale(scale).rotate(-PI/2)
    if text:
        label = Text(text).scale(scale)
        label.next_to(triangle, UP)
        return VGroup(triangle, label)
    return triangle

```

Q- okii perfext until now 

Q- just we add some beatiful animation 

the logic of the animation is like this 

we a use a clor “green” that each time will highlught the box nums[i] okii “ without removing the value from it , that afteer highlyted just update the prefix sum with the cummulative from of it 

for exmple nums=[1,2,3,4,5] 

we first highte [1] and just update the prefix sum with [1] instead of zero dynamically with a beatutiful animation 

next hightlire [1,2] and update it by [2] and so oki