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Monday Madness

4 min read

This thread's last reply is from . Advice, software, and links below may be out of date — treat specific steps and download links with caution.

Post #1
The bridge is made from stepping stones reminiscent of a checker board.
[external image: Posted Image]
However, there is a "key" to crossing this bridge safely:
  • You must enter on the stone in the lower left corner.
  • You must exit from the stone on the upper right.
  • You must move across the bridge on alternating colored stones.
  • No "jumping". You must move to an adjacent stone.
  • You must step on one color of stone exactly 3 times.
  • You must step on the other color of stones exactly 4 times.

How many possible routes are there across this bridge?
Post #2 last edited
going to guess at 23 for now, will sit down and work them all out later. :popcorn: did a quick run through in my head and make it 14.
Post #3
I'm going ahead and say the answer is "15".
B)

Let see:

E E1 E3

D D2

C C1 C3

B B2

A A1 A3

1 2 3

Whereas co-ordinates in blue represent black squares, A1 represents entrance and E3 represents exit.

Routes identified are as follows:

Bk Wh Bk Wh Bk Wh Bk [Bk = column of black square coordinates; Wh = column of white square coordinates]

1. A1 B1 C1 D1 E1 E2 E3

2. A1 B1 C1 D1 D2 E2 E3
3. A1 B1 C1 D1 D2 D3 E3

4. A1 B1 C1 C2 D2 E2 E3
5. A1 B1 C1 C2 D2 D3 E3
6. A1 B1 C1 C2 C3 D3 E3

7. A1 B1 B2 C2 D2 E2 E3
8. A1 B1 B2 C2 D2 D3 E3
9. A1 B1 B2 C2 C3 D3 E3
10. A1 B1 B2 B3 C3 D3 E3

11. A1 A2 B2 C2 D2 E2 E3
12. A1 A2 B2 C2 D2 D3 E3
13. A1 A2 B2 C2 C3 D3 E3
14. A1 A2 B2 B3 C3 D3 E3
15. A1 A2 A3 B3 C3 D3 E3

Bk Wh Bk Wh Bk Wh Bk [Bk = column of black square coordinates; Wh = column of white square coordinates]

Post #6 last edited
:o Thanks, Terry! Thanks, Tom! :D Do I hear a drumroll? Could there be a cookie in my future? :blush: …i'm experiencing a serious "edge-of-seat, baited-breath" moment… :unsure:
Post #11
:unsure: …but Terry…i thought you said


:clap: i agree with you clare.


and

yes i think the cookie is all yours this week clare.. :clap:


and on the Monday Madness matchstick caper, Tom said:

Everyone who participates in Monday Madness gets a cookie… but there can only be one "winning" cookie - though the important thing to remember is that the fun comes not so much from getting the "correct" answer, but rather from the "effort" to come up with an answer.



and

i'd be very happy to share my pretty winning cookie with you! :blush:

Want some?

http://www.google.com/imgres?imgurl=http:/…020&bih=511

:wavey:
Post #14
Thanks rshaffer4444! :D

But Terry!!! :huh:

Don't you remember this when you guys got this…

You got the gist of the names correct… and the odd man out and why - Lee. Terry is correct that you have a couple typos in your answer.

Here's the cookie. You two can divide it as you choose.

[external image: Posted Image]


???????????

and this….

All participants can have a cookie…

[external image: Posted Image]


????????????

now Terry…can't I share my cookie with you?
…or…how 'bout we trade some popcorn for some cookie?
and I'll even throw in some pepsi for good measure? (always thought pepsi went good with popcorn)
:pepsi:
Post #15

now Terry…can't I share my cookie with you?
…or…how 'bout we trade some popcorn for some cookie?
and I'll even throw in some pepsi for good measure? (always thought pepsi went good with popcorn)
pepsi.gif


yes, yes and yes. :D

:popcorn: