Chan x/y placement cost factors using prefix sum #6848

	name: Containers

	on:
	# We want to run the CI when anything is pushed to master.
	# Since master is a protected branch this only happens when a PR is merged.
	# This is a double check in case the PR was stale and had some issues.
	push:
	branches:
	- master
	paths-ignore: # Prevents from running if only docs are updated
	- 'doc/**'
	- '*/README*'
	- '**.md'
	- '**.rst'
	pull_request:
	paths-ignore: # Prevents from running if only docs are updated
	- 'doc/**'
	- '*/README*'
	- '**.md'
	- '**.rst'
	workflow_dispatch:
	schedule:
	- cron: '0 0 * * 0' # weekly

	# We want to cancel previous runs for a given PR or branch / ref if another CI
	# run is requested.
	# See: https://docs.github.com/en/actions/using-jobs/using-concurrency
	concurrency:
	group: ${{ github.workflow }}-${{ github.event.pull_request.number \|\| github.ref }}
	cancel-in-progress: true

	jobs:

	Image:
	runs-on: ubuntu-latest
	env:
	DOCKER_BUILDKIT: 1
	steps:

	- name: 🧰 Repository Checkout
	uses: actions/checkout@v4
	with:
	submodules: 'true'

	- name: 🔧 Generate image name
	id: generate
	run: \|
	REPO='${{ github.repository }}'
	echo "image=ghcr.io/${REPO,,}/ubuntu/focal/build" >> $GITHUB_OUTPUT

	- name: ⛴️ Build container image
	run: docker build -t ${{ steps.generate.outputs.image }} -f Dockerfile .

	- name: 🛰️ Push container image
	if: github.event_name != 'pull_request'
	uses: pyTooling/Actions/with-post-step@r0
	with:
	main: \|
	echo '${{ github.token }}' \| docker login ghcr.io -u GitHub-Actions --password-stdin
	docker push ${{ steps.generate.outputs.image }}
	post: docker logout ghcr.io

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