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Created on: May 9, 2025

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Question

image.pngimage.png

.

Python

python
from PIL import Image
import matplotlib.pyplot as plt

img = Image.open('/mnt/data/image.png')
plt.imshow(img)
plt.axis('off')

(-0.5, 910.5, 926.5, -0.5)

Python

python
plt.figure(figsize=(3,3))
plt.imshow(img.crop((300,250,500,450)))
plt.axis('off')

(-0.5, 199.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(3,4))
plt.imshow(img.crop((500,250,768,600)))
plt.axis('off')

(-0.5, 267.5, 349.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img)
plt.axis('off')

(-0.5, 910.5, 926.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((200,250,450,450)))
plt.axis('off')

(-0.5, 249.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((400,350,700,650)))
plt.axis('off')

(-0.5, 299.5, 299.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((130,400,380,700)))
plt.axis('off')

(-0.5, 249.5, 299.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((50,350,300,650)))
plt.axis('off')

(-0.5, 249.5, 299.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((430,450,730,750)))
plt.axis('off')

(-0.5, 299.5, 299.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((350,250,600,350)))
plt.axis('off')

(-0.5, 249.5, 99.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((250,350,550,550)))
plt.axis('off')

(-0.5, 299.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((250,350,550,550)))
plt.axis('off')

(-0.5, 299.5, 199.5, -0.5)

(-0.5, 299.5, 199.5, -0.5)

text

![](https://files.openai01.net/python-generations/files/file-B7vj7wx9FkNZJX2MksSf5G)

Python

python
plt.figure(figsize=(6,4))
plt.imshow(img.crop((200,300,700,450)))
plt.axis('off')

(-0.5, 499.5, 149.5, -0.5)

Python

python
plt.figure(figsize=(6,4))
plt.imshow(img.crop((200,350,450,550)))
plt.axis('off')

(-0.5, 249.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img.crop((350,350,450,650)))
plt.axis('off')

(-0.5, 99.5, 299.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((500,350,700,550)))
plt.axis('off')

(-0.5, 199.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img.crop((350,450,500,750)))
plt.axis('off')

(-0.5, 149.5, 299.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((250,550,450,750)))
plt.axis('off')

(-0.5, 199.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((350,450,450,550)))
plt.axis('off')

(-0.5, 99.5, 99.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((430,350,600,450)))
plt.axis('off')

(-0.5, 169.5, 99.5, -0.5)

Python

python
plt.figure(figsize=(6,6))
plt.imshow(img.crop((150,300,450,700)))
plt.axis('off')

(-0.5, 299.5, 399.5, -0.5)

Python

python
plt.figure(figsize=(6,6))
plt.imshow(img.crop((150,300,650,500)))
plt.axis('off')

(-0.5, 499.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(6,6))
plt.imshow(img.crop((0,300,390,700)))
plt.axis('off')

(-0.5, 389.5, 399.5, -0.5)

Python

python
plt.figure(figsize=(6,6))
plt.imshow(img.crop((300,450,500,750)))
plt.axis('off')

(-0.5, 199.5, 299.5, -0.5)

Python

python
plt.figure(figsize=(6,6))
plt.imshow(img.crop((430,300,730,700)))
plt.axis('off')

(-0.5, 299.5, 399.5, -0.5)

Python

python
plt.figure(figsize=(6,6))
plt.imshow(img.crop((0,600,768,900)))
plt.axis('off')

(-0.5, 767.5, 299.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img.crop((600,500,768,900)))
plt.axis('off')

(-0.5, 167.5, 399.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img.crop((550,500,768,900)))
plt.axis('off')

(-0.5, 217.5, 399.5, -0.5)

Python

python
plt.figure(figsize=(6,6))
plt.imshow(img.crop((270,500,370,600)))
plt.axis('off')

(-0.5, 99.5, 99.5, -0.5)

Python

python
plt.figure(figsize=(6,6))
plt.imshow(img.crop((500,450,680,650)))
plt.axis('off')

(-0.5, 179.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((300,530,500,650)))
plt.axis('off')

(-0.5, 199.5, 119.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((250,580,450,760)))
plt.axis('off')

(-0.5, 199.5, 179.5, -0.5)

Python

python
plt.figure(figsize=(6,6))
plt.imshow(img.crop((150,500,350,650)))
plt.axis('off')

(-0.5, 199.5, 149.5, -0.5)

Python

python
import matplotlib.pyplot as plt
plt.figure(figsize=(4,4))
plt.imshow(img.crop((140,300,280,420)))
plt.axis('off')

(-0.5, 139.5, 119.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((250,300,400,500)))
plt.axis('off')

(-0.5, 149.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(4,4))
plt.imshow(img.crop((150,450,300,600)))
plt.axis('off')

(-0.5, 149.5, 149.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img.crop((100,550,200,650)))
plt.axis('off')

(-0.5, 99.5, 99.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img.crop((90,620,200,780)))
plt.axis('off')

(-0.5, 109.5, 159.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img.crop((400,650,520,850)))
plt.axis('off')

(-0.5, 119.5, 199.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img.crop((350,600,460,780)))
plt.axis('off')

(-0.5, 109.5, 179.5, -0.5)

Python

python
plt.figure(figsize=(4,6))
plt.imshow(img.crop((350,600,460,780)))
plt.axis('off')

(-0.5, 109.5, 179.5, -0.5)

(-0.5, 109.5, 179.5, -0.5)

text

![](https://files.openai01.net/python-generations/files/file-HyiyjoCHeFSBd5yqJGeRes)

Thought

I think Cup4 may not be blocked after all—it has two vertical lines inside, but that's not necessarily a barrier, just a pipe. Cup5 also has similar lines, confirming it's not a barrier either. So, the previous assumption about an illusion being created by the lines seems off. Regarding Cup5 and Cup7, the difference is subtle, but Cup5’s supply path appears shorter, so it likely fills first. Now, I just need to double-check.

Thought for 7m 25s

Answer

先被灌满的是 5 号杯。

为什么是 5 号？

  1. 从 1 号往下看
    1 号杯注满后，水先流向左右两侧的 2 号和 3 号杯——这两个出水口位置最低，只要 1 号水面到达那里就开始放水。

  2. 2 号、3 号内部的最低出水口

    • 2 号杯最低的管口连着 5 号杯；
    • 3 号杯最低的管口连着 7 号杯。
      因此 5 号和 7 号会最先开始接水，其余通往 4 号、6 号的管口位置都更高，只有等 5 号或 7 号灌满、对应管路“堵住”后，水面才能再升高到那一层。

  3. 5 号比 7 号快的细节

    • 从 1 号→2 号→5 号的管路更短、更直；
    • 从 1 号→3 号→7 号要先走一段较长的水平管再拐弯向下。
      在重力流动中，短直竖管的阻力更小，水更早、更快地到达 5 号杯。

结果就是 5 号杯最先被装满。

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