02

topic

证明7x5x2=7x(5x2)

场景提示

好的，下面给出 7 x 5 x 2 = 7 x (5 x 2) 的证明，以及对证明过程的解释，便于你理解：

**证明：**

根据乘法结合律，对于任意实数 a, b, 和 c，都有：

a x b x c = a x (b x c) = (a x b) x c

在本例中，a = 7，b = 5，c = 2。因此，我们可以直接应用乘法结合律来证明：

7 x 5 x 2 = 7 x (5 x 2)

**解释：**

*   **乘法结合律:**  这个定律是证明的关键。它表明，在只有乘法的运算中，改变运算顺序（通过添加括号）不会改变结果。
*   **应用:**  我们直接将乘法结合律应用于给定的表达式。左侧是三个数的连续乘积，而右侧是先计算后两个数的乘积，然后再乘以第一个数。根据结合律，这两个表达式是等价的。

**结论：**

因为乘法满足结合律，所以 7 x 5 x 2 必然等于 7 x (5 x 2)。这个等式成立，无需进行具体的数值计算。 你可以计算一下，两边都等于70，验证这个结果。

代码

# -*- coding: utf-8 -*-
import os
import numpy as np
import requests
from contextlib import contextmanager
from manim import *
import hashlib
import manimpango # For font checking

from moviepy import AudioFileClip # Correct import

# --- Font Check ---
DEFAULT_FONT = "Noto Sans CJK SC" # Example desired font for Chinese
available_fonts = manimpango.list_fonts()
final_font = None

if DEFAULT_FONT in available_fonts:
    print(f"Font '{DEFAULT_FONT}' found.")
    final_font = DEFAULT_FONT
else:
    print(f"Warning: Font '{DEFAULT_FONT}' not found. Trying fallback fonts...")
    fallback_fonts = ["PingFang SC", "Microsoft YaHei", "SimHei", "Arial Unicode MS"]
    found_fallback = False
    for font in fallback_fonts:
        if font in available_fonts:
            print(f"Switched to fallback font: '{font}'")
            final_font = font
            found_fallback = True
            break
    if not found_fallback:
        print(f"Warning: Neither '{DEFAULT_FONT}' nor fallbacks found. Using Manim default. Chinese characters may not display correctly.")
        # final_font remains None

# --- Custom Colors ---
MY_DARK_BLUE = "#1E3A8A"  # 深蓝色
MY_LIGHT_GRAY = "#F3F4F6"  # 浅灰色
MY_MEDIUM_GRAY = "#D1D5DB" # 中灰色
MY_GOLD = "#F59E0B"      # 金色
MY_ORANGE = "#F97316"    # 橙色
MY_RED = "#DC2626"       # 红色
MY_GREEN = "#10B981"     # 绿色
MY_WHITE = "#FFFFFF"     # 白色
MY_BLACK = "#000000"     # 黑色

# --- TTS Caching Setup ---
CACHE_DIR = "tts_cache"
os.makedirs(CACHE_DIR, exist_ok=True)


class CustomVoiceoverTracker:
    """Tracks audio path and duration for TTS."""

    def __init__(self, audio_path, duration):
        self.audio_path = audio_path
        self.duration = duration


def get_cache_filename(text):
    """Generates a unique filename based on the text hash."""
    # Use a hash of the text for a unique filename
    text_hash = hashlib.md5(text.encode('utf-8')).hexdigest()
    return os.path.join(CACHE_DIR, f"{text_hash}.mp3")


@contextmanager
def custom_voiceover_tts(text, token="123456", base_url="https://uni-ai.fly.dev/api/manim/tts"):
    """
    Fetches TTS audio, caches it, and provides path and duration.
    Usage: with custom_voiceover_tts("text") as tracker: ...
    """
    cache_file = get_cache_filename(text)
    audio_file = cache_file # Initialize audio_file

    if os.path.exists(cache_file):
        # print(f"Using cached TTS for: {text[:30]}...")
        audio_file = cache_file
    else:
        # print(f"Requesting TTS for: {text[:30]}...")
        try:
            # URL encode the input text to handle special characters
            input_text_encoded = requests.utils.quote(text)
            url = f"{base_url}?token={token}&input={input_text_encoded}"

            response = requests.get(url, stream=True, timeout=60) # Added timeout
            response.raise_for_status() # Raise HTTPError for bad responses (4xx or 5xx)

            with open(cache_file, "wb") as f:
                for chunk in response.iter_content(chunk_size=8192):
                    if chunk: # filter out keep-alive new chunks
                        f.write(chunk)
            audio_file = cache_file
            # print("TTS downloaded and cached.")

        except requests.exceptions.RequestException as e:
            print(f"TTS API request failed: {e}")
            # Fallback: create a dummy tracker with zero duration
            tracker = CustomVoiceoverTracker(None, 0)
            yield tracker
            return # Exit context manager
        except Exception as e:
             # Clean up potentially incomplete cache file on error
            if os.path.exists(cache_file):
                os.remove(cache_file)
            print(f"An error occurred during TTS processing: {e}")
            tracker = CustomVoiceoverTracker(None, 0)
            yield tracker
            return # Exit context manager


    # Ensure audio file exists before processing with MoviePy
    if audio_file and os.path.exists(audio_file):
        try:
            # Use context manager for AudioFileClip
            with AudioFileClip(audio_file) as clip:
                 duration = clip.duration
            # print(f"Audio duration: {duration:.2f}s")
            tracker = CustomVoiceoverTracker(audio_file, duration)
        except Exception as e:
            print(f"Error processing audio file {audio_file}: {e}")
            # Fallback if audio file is corrupted or invalid
            tracker = CustomVoiceoverTracker(None, 0)
    else:
        # Fallback if audio file was not created or found
        print(f"TTS audio file not found or not created: {audio_file}")
        tracker = CustomVoiceoverTracker(None, 0)

    try:
        yield tracker
    finally:
        # No cleanup needed here as we are caching
        pass

# --- Custom TeX Template for HTML Colors ---
HTML_COLOR_TEMPLATE = TexTemplate(
    preamble=r"""
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[HTML]{xcolor} %% <<< MUST INCLUDE THIS LINE
\usepackage{graphicx}
% Add other necessary packages like fontspec, ctex if needed
"""
)

# -----------------------------
# CombinedScene: Integrates all scenes for the proof
# -----------------------------
class CombinedScene(MovingCameraScene):
    """
    Combines scenes to prove and explain 7 x 5 x 2 = 7 x (5 x 2)
    using the associative property of multiplication.
    """
    def setup(self):
        MovingCameraScene.setup(self)
        # Set default font if found
        if final_font:
            Text.set_default(font=final_font)

    def construct(self):
        # --- Play Scenes Sequentially ---
        self.play_scene_01()
        self.clear_and_reset()

        self.play_scene_02()
        self.clear_and_reset()

        self.play_scene_03()
        self.clear_and_reset()

        self.play_scene_04()
        self.clear_and_reset()

        # End of animation message
        final_message = Text("证明完毕，感谢观看！ 😄", font_size=48, color=MY_WHITE)
        bg_final = Rectangle(width=config.frame_width, height=config.frame_height, fill_color=MY_BLACK, fill_opacity=1,
                             stroke_width=0).set_z_index(-10)
        self.add(bg_final)
        self.play(FadeIn(final_message))
        self.wait(2)

    def get_scene_number(self, number_str):
        """Creates and positions the scene number."""
        scene_num = Text(number_str, font_size=24, color=MY_WHITE)
        scene_num.to_corner(UR, buff=0.3)
        scene_num.set_z_index(10)
        return scene_num

    def clear_and_reset(self):
        """Clears all objects and resets the camera."""
        # Clear updaters explicitly
        for mob in self.mobjects:
            if mob is not None and hasattr(mob, 'get_updaters') and mob.get_updaters():
                mob.clear_updaters()

        valid_mobjects = [m for m in self.mobjects if m is not None]
        all_mobjects = Group(*valid_mobjects)

        if all_mobjects:
            self.play(FadeOut(all_mobjects, shift=DOWN * 0.5), run_time=0.5)

        self.clear()

        self.camera.frame.move_to(ORIGIN)
        self.camera.frame.set(width=config.frame_width, height=config.frame_height)
        self.wait(0.1)

    # --- Scene 1: Introduction & Associative Law ---
    def play_scene_01(self):
        """Scene 1: Introduce the equation and the associative law."""
        # Background
        bg1 = Rectangle(width=config.frame_width, height=config.frame_height, fill_color=MY_DARK_BLUE, fill_opacity=1.0, stroke_width=0).set_z_index(-10)
        self.add(bg1)
        scene_num_01 = self.get_scene_number("01")
        self.add(scene_num_01)

        # Title: Combine Text and MathTex
        title_text = Text("证明：", font_size=48, color=MY_WHITE)
        title_math = MathTex("7 \\times 5 \\times 2 = 7 \\times (5 \\times 2)", font_size=52, color=MY_ORANGE)
        title_group = VGroup(title_text, title_math).arrange(RIGHT, buff=0.2)
        title_group.to_edge(UP, buff=1.5)

        # Associative Law Formula
        law_text = Text("基于乘法结合律：", font_size=36, color=MY_WHITE)
        law_formula = MathTex("a \\times b \\times c = a \\times (b \\times c) = (a \\times b) \\times c", font_size=40, color=MY_GOLD)
        law_group = VGroup(law_text, law_formula).arrange(DOWN, buff=0.4)
        law_group.next_to(title_group, DOWN, buff=1.0)

        # --- TTS Integration ---
        voice_text_01 = "我们将证明 7 乘以 5 乘以 2 等于 7 乘以 括号 5 乘以 2 括号。这个证明基于乘法的一个基本定律：结合律。"
        with custom_voiceover_tts(voice_text_01) as tracker:
            if tracker.audio_path and tracker.duration > 0:
                self.add_sound(tracker.audio_path, time_offset=0)
            else:
                print("Warning: Scene 1 TTS audio failed or has zero duration.")

            subtitle_voice = Text(
                voice_text_01, font_size=32, color=MY_WHITE,
                width=config.frame_width - 2, should_center=True
            ).to_edge(DOWN, buff=0.5)

            # Animations
            anim_runtime_title = 2.0
            anim_runtime_law = 2.5
            fade_out_duration = 1.0
            total_initial_anim_time = max(anim_runtime_title, 0.5) # Subtitle fadein is fast

            self.play(
                AnimationGroup(
                    FadeIn(subtitle_voice, run_time=0.5),
                    FadeIn(title_group, shift=DOWN*0.2, run_time=anim_runtime_title),
                    lag_ratio=0.0
                ),
                run_time=total_initial_anim_time
            )
            self.play(FadeIn(law_group, shift=UP*0.2, run_time=anim_runtime_law))

            # Calculate wait time
            elapsed_time = total_initial_anim_time + anim_runtime_law
            if tracker.duration > 0:
                remaining_time = tracker.duration - elapsed_time - fade_out_duration
                if remaining_time > 0:
                    self.wait(remaining_time)
            else:
                self.wait(1.0)

            self.play(FadeOut(subtitle_voice), run_time=fade_out_duration)

        self.wait(1)

    # --- Scene 2: Applying the Law ---
    def play_scene_02(self):
        """Scene 2: Show how the law applies to the specific numbers."""
        # Background
        bg2 = Rectangle(width=config.frame_width, height=config.frame_height, fill_color=MY_LIGHT_GRAY, fill_opacity=1.0, stroke_width=0).set_z_index(-10)
        self.add(bg2)
        scene_num_02 = self.get_scene_number("02")
        self.add(scene_num_02)

        # Explanation Text
        explanation1 = Text("根据乘法结合律，对于任意实数 a, b, 和 c，都有：", font_size=36, color=MY_BLACK)
        explanation1.to_edge(UP, buff=1.0)

        # General Law (again for reference)
        law_formula_ref = MathTex("a \\times b \\times c = a \\times (b \\times c)", font_size=40, color=MY_DARK_BLUE)
        law_formula_ref.next_to(explanation1, DOWN, buff=0.5)

        # Specific Case Explanation
        explanation2 = Text("在本例中，我们令：", font_size=36, color=MY_BLACK)
        explanation2.next_to(law_formula_ref, DOWN, buff=1.0)

        # Identify a, b, c
        var_a = MathTex("a = 7", font_size=40, color=MY_RED)
        var_b = MathTex("b = 5", font_size=40, color=MY_GREEN)
        var_c = MathTex("c = 2", font_size=40, color=MY_ORANGE)
        vars_group = VGroup(var_a, var_b, var_c).arrange(RIGHT, buff=0.8)
        vars_group.next_to(explanation2, DOWN, buff=0.5)

        # Apply the law text
        explanation3 = Text("因此，我们可以直接应用此定律得到：", font_size=36, color=MY_BLACK)
        explanation3.next_to(vars_group, DOWN, buff=1.0)

        # Specific Equation
        specific_eq = MathTex("7 \\times 5 \\times 2 = 7 \\times (5 \\times 2)", font_size=48, color=MY_DARK_BLUE)
        specific_eq.next_to(explanation3, DOWN, buff=0.5)

        # --- TTS Integration ---
        voice_text_02 = "根据乘法结合律，对于任意实数 a, b, c，都有 a 乘以 b 乘以 c 等于 a 乘以 括号 b 乘以 c 括号。 在本例中，我们让 a 等于 7，b 等于 5，c 等于 2。 因此，我们可以直接应用这个定律，得到 7 乘以 5 乘以 2 等于 7 乘以 括号 5 乘以 2 括号。"
        with custom_voiceover_tts(voice_text_02) as tracker:
            if tracker.audio_path and tracker.duration > 0:
                self.add_sound(tracker.audio_path, time_offset=0)
            else:
                print("Warning: Scene 2 TTS audio failed or has zero duration.")

            subtitle_voice = Text(
                voice_text_02, font_size=32, color=MY_BLACK,
                width=config.frame_width - 2, should_center=True
            ).to_edge(DOWN, buff=0.5)

            # Animations
            anim_exp1 = 1.5
            anim_law = 1.5
            anim_exp2 = 1.0
            anim_vars = 1.5
            anim_exp3 = 1.0
            anim_eq = 2.0
            fade_out_duration = 1.0

            self.play(
                AnimationGroup(
                    FadeIn(subtitle_voice, run_time=0.5),
                    FadeIn(explanation1, run_time=anim_exp1),
                    lag_ratio=0.0
                ),
                run_time=anim_exp1
            )
            self.play(Write(law_formula_ref), run_time=anim_law)
            self.play(FadeIn(explanation2), run_time=anim_exp2)
            self.play(LaggedStart(FadeIn(var_a), FadeIn(var_b), FadeIn(var_c), lag_ratio=0.3), run_time=anim_vars)
            self.play(FadeIn(explanation3), run_time=anim_exp3)
            self.play(Write(specific_eq), run_time=anim_eq)

            # Calculate wait time
            elapsed_time = anim_exp1 + anim_law + anim_exp2 + anim_vars + anim_exp3 + anim_eq
            if tracker.duration > 0:
                remaining_time = tracker.duration - elapsed_time - fade_out_duration
                if remaining_time > 0:
                    self.wait(remaining_time)
            else:
                self.wait(1.0)

            self.play(FadeOut(subtitle_voice), run_time=fade_out_duration)

        self.wait(1)

    # --- Scene 3: Verification Calculation ---
    def play_scene_03(self):
        """Scene 3: Calculate both sides to verify they are equal."""
        # Background
        bg3 = Rectangle(width=config.frame_width, height=config.frame_height, fill_color=MY_BLACK, fill_opacity=1.0, stroke_width=0).set_z_index(-10)
        self.add(bg3)
        scene_num_03 = self.get_scene_number("03")
        self.add(scene_num_03)

        # Title
        verify_title = Text("验证计算：", font_size=40, color=MY_WHITE)
        verify_title.to_edge(UP, buff=1.0)

        # Left Hand Side (LHS) Calculation
        lhs_title = Text("左侧 (LHS):", font_size=36, color=MY_WHITE).next_to(verify_title, DOWN, buff=0.8).align_to(verify_title, LEFT).shift(LEFT*3)
        lhs_calc1 = MathTex("LHS = 7 \\times 5 \\times 2", font_size=40, color=MY_WHITE).next_to(lhs_title, DOWN, buff=0.4, aligned_edge=LEFT)
        lhs_calc2 = MathTex("= 35 \\times 2", font_size=40, color=MY_WHITE).next_to(lhs_calc1, DOWN, buff=0.4, aligned_edge=LEFT)
        lhs_calc3 = MathTex("= 70", font_size=40, color=MY_GREEN).next_to(lhs_calc2, DOWN, buff=0.4, aligned_edge=LEFT)
        lhs_group = VGroup(lhs_title, lhs_calc1, lhs_calc2, lhs_calc3)

        # Right Hand Side (RHS) Calculation
        rhs_title = Text("右侧 (RHS):", font_size=36, color=MY_WHITE).align_to(lhs_title, UP).align_to(verify_title, RIGHT).shift(RIGHT*3)
        rhs_calc1 = MathTex("RHS = 7 \\times (5 \\times 2)", font_size=40, color=MY_WHITE).next_to(rhs_title, DOWN, buff=0.4, aligned_edge=LEFT)
        rhs_calc2 = MathTex("= 7 \\times 10", font_size=40, color=MY_WHITE).next_to(rhs_calc1, DOWN, buff=0.4, aligned_edge=LEFT)
        rhs_calc3 = MathTex("= 70", font_size=40, color=MY_GREEN).next_to(rhs_calc2, DOWN, buff=0.4, aligned_edge=LEFT)
        rhs_group = VGroup(rhs_title, rhs_calc1, rhs_calc2, rhs_calc3)

        # Result Comparison
        result_comp = MathTex("LHS = RHS = 70", font_size=48, color=MY_GOLD)
        result_comp.next_to(VGroup(lhs_group, rhs_group), DOWN, buff=1.0)

        # --- TTS Integration ---
        voice_text_03 = "我们可以分别计算等式两边的值来验证。首先看左侧：7 乘以 5 等于 35，然后 35 乘以 2 等于 70。 接着看右侧：括号里的 5 乘以 2 等于 10，然后 7 乘以 10 等于 70。 可以看到，两边的计算结果都是 70。"
        with custom_voiceover_tts(voice_text_03) as tracker:
            if tracker.audio_path and tracker.duration > 0:
                self.add_sound(tracker.audio_path, time_offset=0)
            else:
                print("Warning: Scene 3 TTS audio failed or has zero duration.")

            subtitle_voice = Text(
                voice_text_03, font_size=32, color=MY_WHITE,
                width=config.frame_width - 2, should_center=True
            ).to_edge(DOWN, buff=0.5)

            # Animations
            anim_title = 1.0
            anim_lhs_step = 1.5
            anim_rhs_step = 1.5
            anim_result = 1.5
            fade_out_duration = 1.0

            self.play(
                AnimationGroup(
                    FadeIn(subtitle_voice, run_time=0.5),
                    FadeIn(verify_title, run_time=anim_title),
                    lag_ratio=0.0
                ),
                run_time=anim_title
            )

            # LHS Calculation Steps
            self.play(FadeIn(lhs_title), Write(lhs_calc1), run_time=anim_lhs_step)
            # Highlight 7x5
            rect_lhs1 = SurroundingRectangle(lhs_calc1[0][4:7], color=MY_ORANGE, buff=0.05) # Indices for 7x5
            self.play(Create(rect_lhs1))
            self.play(TransformMatchingTex(lhs_calc1.copy(), lhs_calc2, path_arc=PI/2), FadeOut(rect_lhs1), run_time=anim_lhs_step)
            # Highlight 35x2
            rect_lhs2 = SurroundingRectangle(lhs_calc2[0][2:], color=MY_ORANGE, buff=0.05) # Indices for 35x2
            self.play(Create(rect_lhs2))
            self.play(TransformMatchingTex(lhs_calc2.copy(), lhs_calc3, path_arc=PI/2), FadeOut(rect_lhs2), run_time=anim_lhs_step)
            self.wait(0.5)

            # RHS Calculation Steps
            self.play(FadeIn(rhs_title), Write(rhs_calc1), run_time=anim_rhs_step)
            # Highlight (5x2)
            rect_rhs1 = SurroundingRectangle(rhs_calc1[0][5:10], color=MY_ORANGE, buff=0.05) # Indices for (5x2)
            self.play(Create(rect_rhs1))
            self.play(TransformMatchingTex(rhs_calc1.copy(), rhs_calc2, path_arc=-PI/2), FadeOut(rect_rhs1), run_time=anim_rhs_step)
            # Highlight 7x10
            rect_rhs2 = SurroundingRectangle(rhs_calc2[0][2:], color=MY_ORANGE, buff=0.05) # Indices for 7x10
            self.play(Create(rect_rhs2))
            self.play(TransformMatchingTex(rhs_calc2.copy(), rhs_calc3, path_arc=-PI/2), FadeOut(rect_rhs2), run_time=anim_rhs_step)
            self.wait(0.5)

            # Show final comparison
            self.play(Write(result_comp), run_time=anim_result)

            # Calculate wait time
            elapsed_time = anim_title + 3*anim_lhs_step + 0.5 + 3*anim_rhs_step + 0.5 + anim_result
            if tracker.duration > 0:
                remaining_time = tracker.duration - elapsed_time - fade_out_duration
                if remaining_time > 0:
                    self.wait(remaining_time)
            else:
                self.wait(1.0)

            self.play(FadeOut(subtitle_voice), run_time=fade_out_duration)

        self.wait(1)

    # --- Scene 4: Conclusion ---
    def play_scene_04(self):
        """Scene 4: State the conclusion based on the associative law."""
        # Background
        bg4 = Rectangle(width=config.frame_width, height=config.frame_height, fill_color=MY_DARK_BLUE, fill_opacity=1.0, stroke_width=0).set_z_index(-10)
        self.add(bg4)
        scene_num_04 = self.get_scene_number("04")
        self.add(scene_num_04)

        # Conclusion Text
        conclusion_text1 = Text("结论：", font_size=48, color=MY_WHITE, weight=BOLD)
        conclusion_text1.move_to(UP * 2.0)

        conclusion_text2 = Text("因为乘法满足结合律，", font_size=40, color=MY_WHITE)
        conclusion_text3 = Text("所以", font_size=40, color=MY_WHITE)
        conclusion_math = MathTex("7 \\times 5 \\times 2", font_size=44, color=MY_ORANGE)
        conclusion_text4 = Text("必然等于", font_size=40, color=MY_WHITE)
        conclusion_math2 = MathTex("7 \\times (5 \\times 2)", font_size=44, color=MY_ORANGE)
        conclusion_text5 = Text("。", font_size=40, color=MY_WHITE)

        line1 = VGroup(conclusion_text2).arrange(RIGHT, buff=0.2)
        line2 = VGroup(conclusion_text3, conclusion_math, conclusion_text4, conclusion_math2, conclusion_text5).arrange(RIGHT, buff=0.2)

        conclusion_group = VGroup(line1, line2).arrange(DOWN, buff=0.5, aligned_edge=LEFT)
        conclusion_group.next_to(conclusion_text1, DOWN, buff=0.8)

        # Final Statement
        final_statement = Text("这个等式成立。", font_size=40, color=MY_GREEN)
        final_statement.next_to(conclusion_group, DOWN, buff=1.0)

        # --- TTS Integration ---
        voice_text_04 = "结论：因为乘法满足结合律，所以 7 乘以 5 乘以 2 必然等于 7 乘以 括号 5 乘以 2 括号。 这个等式成立，无需进行具体的数值计算，定律本身保证了结果的正确性。"
        with custom_voiceover_tts(voice_text_04) as tracker:
            if tracker.audio_path and tracker.duration > 0:
                self.add_sound(tracker.audio_path, time_offset=0)
            else:
                print("Warning: Scene 4 TTS audio failed or has zero duration.")

            subtitle_voice = Text(
                voice_text_04, font_size=32, color=MY_WHITE,
                width=config.frame_width - 2, should_center=True
            ).to_edge(DOWN, buff=0.5)

            # Animations
            anim_conc1 = 1.0
            anim_conc_lines = 3.0 # Time to reveal the main conclusion lines
            anim_final = 1.5
            fade_out_duration = 1.0

            self.play(
                AnimationGroup(
                    FadeIn(subtitle_voice, run_time=0.5),
                    FadeIn(conclusion_text1, run_time=anim_conc1),
                    lag_ratio=0.0
                ),
                run_time=anim_conc1
            )
            # Use LaggedStart for the conclusion lines
            self.play(
                LaggedStart(
                    FadeIn(line1),
                    # Animate parts of line2
                    AnimationGroup(
                        FadeIn(conclusion_text3), Write(conclusion_math), FadeIn(conclusion_text4),
                        Write(conclusion_math2), FadeIn(conclusion_text5), lag_ratio=0.1
                    ),
                    lag_ratio=0.5 # Lag between line1 and line2 appearing
                ),
                run_time=anim_conc_lines
            )
            self.play(FadeIn(final_statement, shift=UP*0.2), run_time=anim_final)

            # Calculate wait time
            elapsed_time = anim_conc1 + anim_conc_lines + anim_final
            if tracker.duration > 0:
                remaining_time = tracker.duration - elapsed_time - fade_out_duration
                if remaining_time > 0:
                    self.wait(remaining_time)
            else:
                self.wait(1.0)

            self.play(FadeOut(subtitle_voice), run_time=fade_out_duration)

        self.wait(1)


# --- Main execution block ---
if __name__ == "__main__":
    # Basic configuration
    config.pixel_height = 1080  # Set resolution height
    config.pixel_width = 1920   # Set resolution width
    config.frame_rate = 30      # Set frame rate
    config.output_file = "CombinedScene"  # Specify output filename
    config.disable_caching = True # Disable caching

    # Set output directory using placeholder for Java replacement
    config.media_dir = r"#(output_path)" # IMPORTANT: Use the placeholder

    # Create and render the scene
    scene = CombinedScene()
    scene.render()

    print(f"Scene rendering finished. Output in: {config.media_dir}")

Video

https://manim.collegebot.ai/cache/499192080877916160/videos/1080p30/CombinedScene.mp4