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That is a google chrome browser issue and NYT page, as and if you can print other pages there is nothing wrong with your Chromebook 514-xx whatever exact model it is, which would help if you quoted that also. Consult the NYT or reinstall chrome OS on the Chromebook, download a new version and do a clean install of the Chrome OS. Good luck and hope this helps you out.

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Several users have reported issues printing the New York Times crossword from a Chromebook, even when other documents print correctly. The problem is likely caused by a browser or website formatting issue, not your Chromebook or printer.
Here are the most effective workarounds and solutions, starting with the simplest.

1. Adjust print settings on the NYT Games website
The NYT Games site has a dedicated print interface that offers different layouts, including an "Ink Saver" mode, that can help resolve formatting problems.
Go to the main NYT Games page and open the puzzle.
Click the Print icon in the upper-right corner.
On the print screen, select the Newspaper Version option if available. This often resolves layout issues.
Also, try selecting the Ink Saver option, which reduces the amount of ink used for the black squares.
Proceed to print.

2. Adjust advanced print settings in Chrome
When the browser's default settings conflict with a website's layout, you can often fix it in the print dialog.
Press Ctrl + P to open the print dialog.
Click More settings to expand the options.
Adjust the Margins setting to "Minimum" or "None" to ensure all content is captured on the page.
Check or uncheck the Headers and footers option, as these can sometimes interfere with page formatting.
In the print preview, check if the crossword now appears correctly.

3. Print the puzzle as a PDF
Saving the crossword as a PDF first can serve as an effective workaround to a printing error. The resulting PDF file is a standalone document that will often print without issues.
On the NYT print page, press Ctrl + P.
Next to "Destination," select the Change button.
Choose Save as PDF from the list of options.
Click Save and save the file to your Chromebook's Downloads folder.
Navigate to your Downloads folder and open the PDF.
Print the PDF file.

4. Clear your browser's cache and cookies
Outdated browser data can sometimes cause rendering problems on specific websites.
Go to the Chrome menu (the three vertical dots).
Select Settings > Privacy and security.
Click Clear browsing data.
Set the "Time range" to "All time."
Select Cookies and other site data and Cached images and files.
Click Clear data.
Reload the crossword page and try printing again.
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