Kjarposko
 hopeful traveller
 All Zones
 Posts: 1305
 Joined: 15 Jul 2011, 16:28
 Location: West Harrow, Grid square B2, Zone 5, Metropolitan Line
Kjarposko
(I don't know if these have a proper name, and I'd be rather surprised if they don't, but...)
The Benjamin's Blog's mathematicians at Benjamin's Blog headquarters had spent so much time doing Sudoku, Kakuros, and analysing election results in HarrowontheHill that one day they decided to get their revenge. They locked to the door, grabbed some shapes, lines, and numbers, and performed some ghastly experiments on them, until, suddenly, one day, they had at last created something with which they could frustrate the world, and, just to make things worse, they gave it the most ridiculous name in the world: the Kjarposko.
It involves a selection of boxes which are linked together. Each box is divided into two sections  there is a number on top and a space underneath.
There's only two rules: every number on top of a box equals the total of the answers in the bottom of the box linked to it and no number may be used more than once. (A list of numbers you may use will be provided).
Confused? Don't panic. Let me guide you through an example.
You need to put 1, 2, and 3 into the three boxes. The box with 4 in it is linked to the boxes with the 3 on top and the 5 on top. Therefore, the numbers you put into the '3' and '5' box must add up to 4. In the same way '3' + '4' = 5 and '4' + '5' = 3.
Rightyho, then:
I suggest fitting a smoke detector to your head to attempt these.
BRAIN TEMPERATURE: NORMAL
BRAIN TEMPERATURE: HOT
BRAIN TEMPERATURE: SIZZLING
BRAIN TEMPERATURE: CRITICAL
BRAIN TEMPERATURE: TOO HOT FOR WORDS
WARNING
You are now approaching one of the most lethal puzzles on the planet. It is so hard that it is on the edge of meltdown and some of the numbers have evaporated into * symbols. It is still possible to fill in the answers, but if you are of a nervous disposition DO NOT ATTEMPT THIS PUZZLE.
BRAIN TEMPERATURE: EXPLODED
(OK, I'll admit it, I got it out of a book.)
The Benjamin's Blog's mathematicians at Benjamin's Blog headquarters had spent so much time doing Sudoku, Kakuros, and analysing election results in HarrowontheHill that one day they decided to get their revenge. They locked to the door, grabbed some shapes, lines, and numbers, and performed some ghastly experiments on them, until, suddenly, one day, they had at last created something with which they could frustrate the world, and, just to make things worse, they gave it the most ridiculous name in the world: the Kjarposko.
It involves a selection of boxes which are linked together. Each box is divided into two sections  there is a number on top and a space underneath.
There's only two rules: every number on top of a box equals the total of the answers in the bottom of the box linked to it and no number may be used more than once. (A list of numbers you may use will be provided).
Confused? Don't panic. Let me guide you through an example.
You need to put 1, 2, and 3 into the three boxes. The box with 4 in it is linked to the boxes with the 3 on top and the 5 on top. Therefore, the numbers you put into the '3' and '5' box must add up to 4. In the same way '3' + '4' = 5 and '4' + '5' = 3.
Rightyho, then:
I suggest fitting a smoke detector to your head to attempt these.
BRAIN TEMPERATURE: NORMAL
BRAIN TEMPERATURE: HOT
BRAIN TEMPERATURE: SIZZLING
BRAIN TEMPERATURE: CRITICAL
BRAIN TEMPERATURE: TOO HOT FOR WORDS
WARNING
You are now approaching one of the most lethal puzzles on the planet. It is so hard that it is on the edge of meltdown and some of the numbers have evaporated into * symbols. It is still possible to fill in the answers, but if you are of a nervous disposition DO NOT ATTEMPT THIS PUZZLE.
BRAIN TEMPERATURE: EXPLODED
(OK, I'll admit it, I got it out of a book.)
1 FNC Completion (PB: 17:18:18 with G Bryant, A Chilcraft, I MacNaughton)
4 Zone Ones (PB: 03:00:35 with G Bryant)
15 R15s (PB: 01:55:48 with T Cooling and R Jackson)
11 All Lines (PB: 00:44:03)
Winner of the 2014 Formula 1 Side Competition
4 Zone Ones (PB: 03:00:35 with G Bryant)
15 R15s (PB: 01:55:48 with T Cooling and R Jackson)
11 All Lines (PB: 00:44:03)
Winner of the 2014 Formula 1 Side Competition
Re: Kjarposko
3 + 4 = 5??
The book you got these from, is it the Gideon Osbourne book of mathematics?
The book you got these from, is it the Gideon Osbourne book of mathematics?
Full Network: Three completions, Best time: 17:18:18  thanks Glen, Andrew and Rhys!
Former DLR 45 station record holder (with Glen, Andi and Stevo)  2h:08m:57s
All lines: 46:11 (6th equal)
Zone One 2:52:51 (thanks Glen)
Former DLR 45 station record holder (with Glen, Andi and Stevo)  2h:08m:57s
All lines: 46:11 (6th equal)
Zone One 2:52:51 (thanks Glen)
Re: Kjarposko
Joking apart, these look rather fun, although at first glance through beer goggles it's a series of simultaneous equations.
Full Network: Three completions, Best time: 17:18:18  thanks Glen, Andrew and Rhys!
Former DLR 45 station record holder (with Glen, Andi and Stevo)  2h:08m:57s
All lines: 46:11 (6th equal)
Zone One 2:52:51 (thanks Glen)
Former DLR 45 station record holder (with Glen, Andi and Stevo)  2h:08m:57s
All lines: 46:11 (6th equal)
Zone One 2:52:51 (thanks Glen)
 The Orange One
 All Zones
 Posts: 2606
 Joined: 18 Jun 2013, 15:23
 Location: Three metres due south of you. Wherever you are.
 Contact:
Re: Kjarposko
Sizzling is impossible. It's mathematically impossible. I can prove why.
Let the "20" box be x. Then the "18" box is 5x. Then the "22" box is 6(5x)=1+x. Then the "25" box is 14(1+x)=13x. Then the "17" box is 14(13x)=1+x. Then the "20" box is 8(1+x)=7x.
So x=7x
2x=7
x=3.5  just thought I'd let you know.
Let the "20" box be x. Then the "18" box is 5x. Then the "22" box is 6(5x)=1+x. Then the "25" box is 14(1+x)=13x. Then the "17" box is 14(13x)=1+x. Then the "20" box is 8(1+x)=7x.
So x=7x
2x=7
x=3.5  just thought I'd let you know.
All London buses: 23 hours 25 minutes (with Adham, David, Josh and Tangy)
Holds some alternative challenge records. Not sure which ones.
20½ Random 15 challenges: 01:58:48 best
That guy who runs those Twitter polls about tube stations and London Boroughs.
Holds some alternative challenge records. Not sure which ones.
20½ Random 15 challenges: 01:58:48 best
That guy who runs those Twitter polls about tube stations and London Boroughs.
 hopeful traveller
 All Zones
 Posts: 1305
 Joined: 15 Jul 2011, 16:28
 Location: West Harrow, Grid square B2, Zone 5, Metropolitan Line
Re: Kjarposko
No, the book uses letters in the example, but I thought that would be far too complicated to understand. Hence I used '3' rather than 3 to indicate that it's not the number 3, like putting ' in front of a number in Excel.Iain wrote:3 + 4 = 5??
The book you got these from, is it the Gideon Osbourne book of mathematics?
1 FNC Completion (PB: 17:18:18 with G Bryant, A Chilcraft, I MacNaughton)
4 Zone Ones (PB: 03:00:35 with G Bryant)
15 R15s (PB: 01:55:48 with T Cooling and R Jackson)
11 All Lines (PB: 00:44:03)
Winner of the 2014 Formula 1 Side Competition
4 Zone Ones (PB: 03:00:35 with G Bryant)
15 R15s (PB: 01:55:48 with T Cooling and R Jackson)
11 All Lines (PB: 00:44:03)
Winner of the 2014 Formula 1 Side Competition
Re: Kjarposko
Ah so in that sense '3' means the number at the bottom of the box with 3 at the top?
Full Network: Three completions, Best time: 17:18:18  thanks Glen, Andrew and Rhys!
Former DLR 45 station record holder (with Glen, Andi and Stevo)  2h:08m:57s
All lines: 46:11 (6th equal)
Zone One 2:52:51 (thanks Glen)
Former DLR 45 station record holder (with Glen, Andi and Stevo)  2h:08m:57s
All lines: 46:11 (6th equal)
Zone One 2:52:51 (thanks Glen)
 hopeful traveller
 All Zones
 Posts: 1305
 Joined: 15 Jul 2011, 16:28
 Location: West Harrow, Grid square B2, Zone 5, Metropolitan Line
Re: Kjarposko
Come again?Iain wrote:Ah so in that sense '3' means the number at the bottom of the box with 3 at the top?
By '3', I mean 'the box with 3 on top'. So... the three box + the four box = 5.
1 FNC Completion (PB: 17:18:18 with G Bryant, A Chilcraft, I MacNaughton)
4 Zone Ones (PB: 03:00:35 with G Bryant)
15 R15s (PB: 01:55:48 with T Cooling and R Jackson)
11 All Lines (PB: 00:44:03)
Winner of the 2014 Formula 1 Side Competition
4 Zone Ones (PB: 03:00:35 with G Bryant)
15 R15s (PB: 01:55:48 with T Cooling and R Jackson)
11 All Lines (PB: 00:44:03)
Winner of the 2014 Formula 1 Side Competition
Re: Kjarposko
Yes, that's what I meant
Full Network: Three completions, Best time: 17:18:18  thanks Glen, Andrew and Rhys!
Former DLR 45 station record holder (with Glen, Andi and Stevo)  2h:08m:57s
All lines: 46:11 (6th equal)
Zone One 2:52:51 (thanks Glen)
Former DLR 45 station record holder (with Glen, Andi and Stevo)  2h:08m:57s
All lines: 46:11 (6th equal)
Zone One 2:52:51 (thanks Glen)
 tubeguru
 Site Administrator
 Posts: 8880
 Joined: 30 Jan 2005, 22:08
 Location: The Twilight Zone
 Contact:
Re: Kjarposko
Well at least this is a nice easy puzzle that everyone can pick up ...
One thing only do I know, and that is that I know nothing  Socrates.
Champion of bugger all, 2004 to 2020
Member of sweet FA
Champion of bugger all, 2004 to 2020
Member of sweet FA
Re: Kjarposko
Named after Kjartan Poskitt, who invented them. See http://puzzles.wikia.com/wiki/Kjarposkohopeful traveller wrote:(I don't know if these have a proper name, and I'd be rather surprised if they don't, but...)
OK so far (assuming you mean the lower of the two "22" boxes).The Orange One wrote:Sizzling is impossible. It's mathematically impossible. I can prove why.
Let the "20" box be x. Then the "18" box is 5x. Then the "22" box is 6(5x)=1+x.
I think you've slipped up here. The "25" box is connected to the two "14" boxes. The "1+x" is in the "22" box, which is not connected to the "25" box.Then the "25" box is 14(1+x)=13x.
By the way, the "lethal" one isn't really that lethal  I've just solved it in about 20 minutes. (Haven't tried the others yet.)
Undefeated Tumbleweed champion, Oct 2015
Inventor of Grumbleweed, Nimbleweed, Timesnap, Postsnap and several other silly games
Inventor of Grumbleweed, Nimbleweed, Timesnap, Postsnap and several other silly games
 The Orange One
 All Zones
 Posts: 2606
 Joined: 18 Jun 2013, 15:23
 Location: Three metres due south of you. Wherever you are.
 Contact:
Re: Kjarposko
Yes but the box in the lower "22" and the "25" are the only boxes connected to the lower "14". So they must both sum to 14.
(hopeful traveller showed me the solution  there is, in fact, an error inside it)
(hopeful traveller showed me the solution  there is, in fact, an error inside it)
All London buses: 23 hours 25 minutes (with Adham, David, Josh and Tangy)
Holds some alternative challenge records. Not sure which ones.
20½ Random 15 challenges: 01:58:48 best
That guy who runs those Twitter polls about tube stations and London Boroughs.
Holds some alternative challenge records. Not sure which ones.
20½ Random 15 challenges: 01:58:48 best
That guy who runs those Twitter polls about tube stations and London Boroughs.

 Zone 6
 Posts: 957
 Joined: 04 Jun 2013, 10:42
 Location: South of the Thames
Re: Kjarposko
I don't get the Sizzling one:
To make the "5" box correct, the highest number that can go in the "20" box is 4, but that immediately makes the middle "22" box impossible. Am I missing something? (Or are there connecting lines missing, or maybe the numbers are wrong?)
To make the "5" box correct, the highest number that can go in the "20" box is 4, but that immediately makes the middle "22" box impossible. Am I missing something? (Or are there connecting lines missing, or maybe the numbers are wrong?)
Royal Oak to Bethnal Green in 333 days
Heathrow Terminal 4 to Amersham in 17 hours, 42 minutes and 22 seconds
Heathrow Terminal 4 to Amersham in 17 hours, 42 minutes and 22 seconds
 The Orange One
 All Zones
 Posts: 2606
 Joined: 18 Jun 2013, 15:23
 Location: Three metres due south of you. Wherever you are.
 Contact:
Re: Kjarposko
Yeah there's horrible problems with the Sizzling one.
All London buses: 23 hours 25 minutes (with Adham, David, Josh and Tangy)
Holds some alternative challenge records. Not sure which ones.
20½ Random 15 challenges: 01:58:48 best
That guy who runs those Twitter polls about tube stations and London Boroughs.
Holds some alternative challenge records. Not sure which ones.
20½ Random 15 challenges: 01:58:48 best
That guy who runs those Twitter polls about tube stations and London Boroughs.