tag:blogger.com,1999:blog-5303307482158922565.post5572506476508344967..comments2024-03-22T13:39:55.941-07:00Comments on Math Mama Writes...: Think: The Five-Letter Word GameSue VanHattumhttp://www.blogger.com/profile/10237941346154683902noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-5303307482158922565.post-89958181947653858522015-01-08T23:29:23.021-08:002015-01-08T23:29:23.021-08:00I organized the information visually in an array w...I organized the information visually in an array with the letters of the alphabet along the top row. As I listed each word (with the number of correct letters) on a new row, I put a dot under the letters that the word is composed of. When letters were eliminated, I crossed off the dots in that column. After STOMP and TRUCK eliminated UOT, the only letters possible from QUOTE were Q and E, and Q would be unlikely without the U. Therefore, one letter is (most likely) E. I circled the E column so that when I continued to list words, if I put a dot in the E column I knew that one letter of the new word listed was already spoken for. I continued filling in information on the chart, and didn't have any new leads until QUICK. (Actually the first time I worked it out I accidentally skipped over the word QUICK, which made it a bit more complicated, but still solvable!) Continuing with the assumption that Q was eliminated due to no U, the next letter must be I because C and K have already been eliminated. I circled the I column in my chart. Now, looking back at the word DIRTY, I eliminated D and Y.Since D, R, and Y have been eliminated, then LARDY gives us both A and L. I circled those columns.Now looking back and BLAND, I can eliminate B and N. Looking back at FLASH, I eliminate F and H. Looking back at VOWEL, I eliminate V and W. BINDS gives no new information since I already know I, and the other letters have all been eliminated. NIGHT gives us the G since N, H and T have been eliminated and we already know I. We now have 5 letters, A, E, G, I, and L, and playing around with them a bit leads me to AGILE. We don't need to use LINER, but it's a good confirmation. Sorry if it was a spoiler! I'm happy to email you my chart if the explanation was confusing. Fun game! Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-55204307451980391012015-01-08T09:42:12.794-08:002015-01-08T09:42:12.794-08:00Some further thoughts. Spoilers if people don'...Some further thoughts. Spoilers if people don't want to know:<br />TRUCK 0 and QUICK 1 implies QUI 1. Since Q needs a paired U, QU being correct means 2 right, so we have UI 1, so either U or I are in the final word.<br />STOMP 0 and EXITS 2 implies EXI 2. <br />TRUCK 0 and LINER 3 means LINE 3. <br /><br />This gives us the following possibilities:<br />U (not I) then EX and LN, so EXLNU. Doesn't fit with LARDY 2, so we conclude I is a letter, not U.<br />QUOTE 1 then means E is a letter, so we have E, I + {L or N}. <br />DIRTY 1 and LARDY 2 means we must have L.<br /><br />Now, we're at E I L.<br /><br />BINDS 1 and BLAND 2 implies A.<br />FLASH 2 and NIGHT 2 implies G.<br /><br />Now, we have E I L G A.<br />JGR314https://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-32571783721191006202015-01-08T09:20:13.161-08:002015-01-08T09:20:13.161-08:00I'm trying to think of a useful way to organiz...I'm trying to think of a useful way to organize the information you get at each guess. Still no great approach.<br /><br />My temptation following STOMP would have been to pursue 2 letter modifications, like<br />SWAMP<br />SLUMP<br />STOCK<br /><br />Though this seems similar a strategy mentioned in Chris Okasaki's blog that he declares sub-optimal.JGR314https://www.blogger.com/profile/11702319994021721608noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-29692318537371874352015-01-08T07:29:45.390-08:002015-01-08T07:29:45.390-08:00Glad to bring back memories, Shecky.
Anonymous, c...Glad to bring back memories, Shecky.<br /><br />Anonymous, can you tell us how you got that word?Sue VanHattumhttps://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-56652455674341836742015-01-08T00:14:32.002-08:002015-01-08T00:14:32.002-08:00AGILE :)AGILE :)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-32674654344420333972015-01-07T08:51:32.323-08:002015-01-07T08:51:32.323-08:00Yes, growing up in the midwest (1950s), "Jott...Yes, growing up in the midwest (1950s), "Jotto" was our favorite family game (even though we knew of no other households familiar with it). Great game, that can be played online now, but I've not seen it in a store in forever. BTW, in the original game you could choose 5-letter words with multiple same-letters, like "state" or "puppy" which made for deliciously-difficult games. <br />Anyway, you brought back memories!"Shecky Riemann"https://www.blogger.com/profile/07065658607024191185noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-37158619828897170932015-01-06T20:28:16.516-08:002015-01-06T20:28:16.516-08:00I love your post! Yep, this looks like Jotto. But ...I love your post! Yep, this looks like <a href="http://en.wikipedia.org/wiki/Jotto" rel="nofollow">Jotto</a>. But I like my name better, since it's a legal word in the game. And I like your version too.Sue VanHattumhttps://www.blogger.com/profile/10237941346154683902noreply@blogger.comtag:blogger.com,1999:blog-5303307482158922565.post-28702592167968625972015-01-06T19:33:31.968-08:002015-01-06T19:33:31.968-08:00This game used to be sold under the name "Jot...This game used to be sold under the name "Jotto". For 5 letters, I need to be able to keep notes. But the same game using only 3 letters (4 if you're really ambitious) can easily be played without any note-taking and, in pre-smartphone days, used to be a family favorite to kill time while driving or waiting in line. Here's a write-up of one particularly memorable session: http://okasaki.blogspot.com/2008/04/games-for-programmers-jotto.htmlChris Okasakihttps://www.blogger.com/profile/18247315355264748920noreply@blogger.com