Saturday, April 26, 2014

Math POTW #28 - Going My Way

14 comments:

  1. Yello mates,

    To find the answer you just have to use the direction South, East and Southeast

    What I did first was to only use South and East to find my way to... um freedom XD

    1st route: South, South, East, East
    2nd route: East, East, South, South
    3rd route: South, East, East, South
    4th route: East, South, South, East
    5th route: South, East, South, East
    6th route: East, South, East, South

    Now we add on the southeast direction.
    7th route: South, Southeast, East
    8th route: East, South, Southeast
    9th route: South, East, Southeast

    So I think that Super Maria can take 9 routes to reach freedom
    That is all
    Byeee! lads

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    1. what up john. so me and justin got together and we sorta figured this out. ya so it is 9 like you said. but we just drew it out and found out all the moves that you could to in super mario rip off. so our technique was start from the bottom and slowly work our way up until there was no possible way to move this 8 pixel car

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    2. i got the same answer but i really like how you articulated your answer.

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    3. I got the same answer! I did it somehow like how Jatin and Justin did it. I drew out the whole puzzle and then drew lines until there was no possible way to move using only east, south and southeast. However, I didn't start from the bottom, I started from the top. :)

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  2. So here goes...
    There's a lot of pressure on me right now because I've been getting all the POTW's wrong recently, and if I fail any more, it'll hurt my pride :___:
    There should be 8 different routes Maria can take. I think so because there the top 2 box triangles are cut out because they go North east; a route Maria cannot take. Now I can work with the edges and bottom 2 boxes. The edges provide 2 routes, and including the small space between the top and bottom boxes, there are 3 others routes. The area near the left allows for more route options because it can go South, east to the end, south, or South, east to the middle, south, and east again. The area near the right only provides for 1, which is east to the middle, south, east, and south.
    And when I use the south east paths, there are another 3 options, with similar reasons to what I explained before. The area near the right allows for 2 paths, as described: East to the middle, south to the middle, southeast, and South to the middle, east to the middle, southeast, to the finish, The area near the left only allows one, where it goes like south to the middle, southeast, and east. 3+3+2=8. and that's how I got 8 options.
    I pray I am not wrong again, or at least somewhat close. >_<

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    Replies
    1. There's no pressure Emily! You are a wonderful member of our online community and we all (me especially) appreciate your input and hard-work!

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    2. there are no wrong answers in a way, Emily~ =) the beauty of these exercise and our online math community and conversation is that you always get something out of it; whether the end result is correct or not~ =)

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  3. Thanks! But you can't help but feel a little helpless at times... ^^: No matter though! As you said, I will continue with my answers (not just for the candy hehehe)!

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  4. LET US SOLVE THIS QUESTION.
    THE DIAGONALS IN THE TOP LEFT AND TOP RIGHT ARE UNUSABLE
    HERE ARE THE POSSIBILITIES
    YOU CAN USE ANY COMBINATION OF 2 EASTS AND 2 SOUTHS TO GET TO THE FINISH
    EAST EAST SOUTH SOUTH
    SOUTH SOUTH EAST EAST
    EAST SOUTH EAST SOUTH
    SOUTH EAST SOUTH EAST
    SOUTH EAST EAST SOUTH
    EAST SOUTH SOUTH EAST
    THAT IS 6
    NOW WE ADD IN THE SOUTHEAST POSSIBILITIES
    EVERYTIME SOUTH AND EAST ARE RIGHT NEXT TO EACH OTHER ON THE SECND THIRD AND FOURTH DIRECTIONS, REPLACE IT WITH SOUTHEAST
    NOT FOR THE FIRST BECAUSE THE TOP LEFT AND TOP RIGHT DIAGONALS ARE UNUSABLE
    EAST SOUTH SOUTHEAST
    SOUTH EAST SOUTHEAST
    SOUTH SOUTHEAST EAST
    ADDING 6+3=9
    THERE ARE 9 WAYS

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  5. FIRST YOU CAN USE ANY COMBINATION OF 2 SOUTHS AND 2 EASTS TO GET TO THE FINISH
    SOUTH SOUTH EAST EAST
    EAST EAST SOUTH SOUTH
    SOUTH EAST SOUTH EAST
    EAST SOUTH EAST SOUTH
    SOUTH EAST EAST SOUTH
    EAST SOUTH SOUTH EAST
    THAT IS 6
    NOW WE ADD IN THE SOUTHEAST WAYS
    YOU MUST USE 1 SOUTH, 1 EAST, AND 1 SOUTHEAST
    SOUTH EAST SOUTHEAST
    EAST SOUTH SOUTHEAST
    SOUTH SOUTHEAST EAST
    WE ADD 6+3 TO GET 9, THE NUMBER OF POSSIBLE WAYS.

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    Replies
    1. Dude that is not Tony, why the caps mannn?

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  6. there are 9 routes maria can take

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  7. Sis and I did this together

    We think that there are 9 different routes that Maria can take from Start to Finish.

    We first eliminated invalid routes, which are those using anything other than the given EAST,SOUTH, OR SOUTHEAST. These are Southwest, West, Northwest, North, and Northeast.

    To make things easier, any route going up or West is a no-go (all routes must be going down or west)

    With this in mind, we worked on from the Start using only East, South, and Southeast.

    Key:
    S = South
    E = East
    (SE) = Southeast

    Routes:
    SSEE
    S(SE)E
    SESE
    SE(SE)
    SEES
    ESSE
    ES(SE)
    ESES
    EESS

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  8. Hmmm, maybe I needed a more challenging one this week. The correct answer was 9 routes. Good work y'all.

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