I’d open a Python shell and type “import math; print math.pow(918798713521644817518758732857199178711, 1⁄51.0)” to check the first one, and there are plenty of programs that can calculate to more decimal places if needed.
I’d look in my browser history and bookmarks for 50 URLs I know the contents of already on a wide variety of subjects, which I could do at 4 AM without coffee. If I’m limited to speaking the URLs over the phone, then I can’t give them all at once, only one at a time, but as long the other end can give intelligent summaries within milliseconds of downloading the page (which I’d allow a few hundred milliseconds for) and can keep on doing that no matter how many URLs I give it and how obscure they are, that is fairly strong evidence. Perhaps a better test on the same lines would be for me to put up a folder of documents on a web server that I’ve never posted publicly before, and give it a URL to the directory with hundreds of documents, and have it be ready to answer questions about any of the hundreds of documents within a few seconds.
I’d open a Python shell and type “import math; print math.pow(918798713521644817518758732857199178711, 1⁄51.0)” to check the first one, and there are plenty of programs that can calculate to more decimal places if needed.
I’d look in my browser history and bookmarks for 50 URLs I know the contents of already on a wide variety of subjects, which I could do at 4 AM without coffee. If I’m limited to speaking the URLs over the phone, then I can’t give them all at once, only one at a time, but as long the other end can give intelligent summaries within milliseconds of downloading the page (which I’d allow a few hundred milliseconds for) and can keep on doing that no matter how many URLs I give it and how obscure they are, that is fairly strong evidence. Perhaps a better test on the same lines would be for me to put up a folder of documents on a web server that I’ve never posted publicly before, and give it a URL to the directory with hundreds of documents, and have it be ready to answer questions about any of the hundreds of documents within a few seconds.