tag:blogger.com,1999:blog-5730391.post7985130758242240992..comments2019-06-19T20:32:37.499-07:00Comments on Blaine's Puzzle Blog: GeekDad Puzzle of the Week: Math TrollsBlainehttp://www.blogger.com/profile/06379274325110866036noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-5730391.post-78498147989688835482012-07-21T11:33:35.927-07:002012-07-21T11:33:35.927-07:00Did you happen to notice that the troll has a real...Did you happen to notice that the troll has a real VW Beetle in it's clutches? Harder to notice is one eye is a VW wheel cover. This troll is located beneath the North end of the Aurora Bridge on Hy 99 that runs from Canada to Mexico, or maybe it's the other direction, and if you were to ask almost anyone here in Seattle where the George Washington Bridge is, you would get blank looks, but that is the true name of this major bridge we all call Aurora. Also, a short distance to the West of the troll is a huge bronze statue of Lenin that someone managed to get out of Russia after the collapse of the Soviet Union. Quite ironic to see an enormous statue of Vladimir Lenin in this country.skydiveboyhttps://www.blogger.com/profile/17174073226290431753noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-59657534646789445932012-07-21T10:36:25.477-07:002012-07-21T10:36:25.477-07:00In fact, when I was looking for pictures of "...In fact, when I was looking for pictures of "bridge troll" quite a few of them were of the <a href="http://www.bing.com/images/search?q=aurora+bridge+troll&qs=n&form=QBIR&pq=aurora+bridge+troll&sc=1-19&sp=-1&sk=" rel="nofollow">Aurora Bridge Troll</a>.Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-43876326534292151642012-07-21T10:05:47.639-07:002012-07-21T10:05:47.639-07:00Do you know about our Aurora Bridge Troll here in ...Do you know about our Aurora Bridge Troll here in Seattle? <br />Google Fremont Troll or Aurora Bridge Troll or Seattle Troll for photos. I can't upload them here.skydiveboyhttps://www.blogger.com/profile/17174073226290431753noreply@blogger.comtag:blogger.com,1999:blog-5730391.post-60229002553800044762012-07-18T04:54:21.718-07:002012-07-18T04:54:21.718-07:00SPOILER ALERT - Answer follows
For this puzzle, I...<b>SPOILER ALERT - Answer follows</b><br /><br />For this puzzle, I'll assume the demands are ordered from most common to rarest. In other words, if a bridge is odd, a perfect square and a perfect cube, the last one is the most applicable.<br /><br />The easiest way to solve this is to just work backwards from 1000 berries. At each bridge you perform the reverse operation until you get back to bridge 1. While the puzzle says trolls will round demands in their favor, it doesn't say what they will do when giving you half again the number of berries you are carrying. I worked it both ways (rounding down and rounding up) and still got the same answer of 44 berries. For the example below, I'll assume trolls always round to their advantage (round up when demanding berries, round down when giving berries).<br /><br />Start with 44 berries.<br />1) Cube - double the berries 44 x 2 = 88<br />2) Prime - add half your berries 88 + 44 = 132<br />3) Prime - add half your berries 132 + 66 = 198<br />4) Square - take a quarter 198 - 50 = 148<br />5) Prime - add half your berries 148 + 74 = 222<br />6) Even - take 20 berries 222 - 20 = 202<br />7) Prime - add half your berries 202 + 101= 303<br />8) Cube - double the berries 303 x 2 = 606<br />9) Square - take a quarter 606 - 152 = 454<br />10) Even - take 20 berries 454 - 20 = 434<br />11) Prime - add half your berries 434 + 217 = 651<br />12) Even - take 20 berries 651 - 20 = 631<br />13) Prime - add half your berries 631 + 315 = 946<br />14) Even - take 20 berries 946 - 20 = 926<br />15) Odd - take half your berries 926 - 463 = 463<br />16) Square - take a quarter 463 - 116 = 347<br />17) Prime - add half your berries 347 + 173 = 520<br />18) Even - take 20 berries 520 - 20 = 500<br />19) Prime - add half your berries 500 + 250 = 750<br />20) Even - take 20 berries 750 - 20 = 730<br />21) Odd - take half your berries 730 - 365 = 365<br />22) Even - take 20 berries 365 - 20 = 345<br />23) Prime - add half your berries 345 + 172 = 517<br />24) Even - take 20 berries 517 - 20 = 497<br />25) Square - take a quarter 497 - 125 = 372<br />26) Even - take 20 berries 372 - 20 = 352<br />27) Cube - double the berries 352 + 352 = 704<br />28) Even - take 20 berries 704 - 20 = 684<br />29) Prime - add half your berries = 684 + 342 = 1026<br />30) Even - take 20 berries 1026 - 20 = 1006Blainehttps://www.blogger.com/profile/06379274325110866036noreply@blogger.com