### ImageMagick version

7.1.1-21

### Operating system

Linux

### Operating system, version and so on

Debian 12

### Description

(I'm actually not sure what the OS version is, as I'm using a docker image)

When you use -remap to replace the colors in an image with the palette from another given image, the order of the colors in the palette is not preserved. Not only that, it's not reordered in a consistent, predictable manner, that is, if you remap several images with the same palette image as parameter to -remap, you get different resulting palettes (same colors but potentially in different orders), I guess depending on the input image.

I'm not sure if there's a criterion to the ordering, maybe from the least used to most used color or viceversa (it's certainly not just a function of the colors, otherwise it would at least be consistent, it's at least also a function of the input image, unless it's just totally utterly random). But either way, since you're being explicitly asked to use a given palette, I don't see a reason for not taking the palette as is including the order.

### Steps to Reproduce

1. run the following commands:
```
convert input1.png -dither FloydSteinberg -colorspace CMYK -remap palette.png output1.png
convert input2.png -dither FloydSteinberg -colorspace CMYK -remap palette.png output2.png
```

Expected behavior: the two output images should have the same palette with colors in the same order, and that should be the same as the palette in palette.png

Observed behavior: the two output images have palettes with the same colors but in different order.

### Images

[images.zip](https://github.com/ImageMagick/ImageMagick/files/13546513/images.zip)

-remap reorders the palette unpredictably
This is a GitHub Issue
repo:ImageMagick
owner:ImageMagick
Title : -remap reorders the palette unpredictably
Issue date:

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### ImageMagick version

7.1.1-21

### Operating system

Linux

### Operating system, version and so on

Debian 12

### Description

(I'm actually not sure what the OS version is, as I'm using a docker image)

When you use -remap to replace the colors in an image with the palette from another given image, the order of the colors in the palette is not preserved. Not only that, it's not reordered in a consistent, predictable manner, that is, if you remap several images with the same palette image as parameter to -remap, you get different resulting palettes (same colors but potentially in different orders), I guess depending on the input image.

I'm not sure if there's a criterion to the ordering, maybe from the least used to most used color or viceversa (it's certainly not just a function of the colors, otherwise it would at least be consistent, it's at least also a function of the input image, unless it's just totally utterly random). But either way, since you're being explicitly asked to use a given palette, I don't see a reason for not taking the palette as is including the order.

### Steps to Reproduce

1. run the following commands:
```
convert input1.png -dither FloydSteinberg -colorspace CMYK -remap palette.png output1.png
convert input2.png -dither FloydSteinberg -colorspace CMYK -remap palette.png output2.png
```

Expected behavior: the two output images should have the same palette with colors in the same order, and that should be the same as the palette in palette.png

Observed behavior: the two output images have palettes with the same colors but in different order.

### Images

[images.zip](https://github.com/ImageMagick/ImageMagick/files/13546513/images.zip)

--- end body ---

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