Fri

13

Dec

2013

Solution to the Empty Square Puzzle

In Alcazar, easy puzzles can be solved either with logic, or intuition. But as puzzles get larger and harder, intuition alone will not be enough. That's why it's good to start sharpening your logic skills with small puzzles, like the one I proposed in my last post.

There are several ways to solve this puzzle step by step. Here is one method I like, because it contains several different tricks and techniques.

First, there is only one way to enter and exit each of the corners, so it's a good idea to start by filling these 4 squares.

Then, notice that there are only 2 exits in this problem. We need to use them both, otherwise we won't be able to enter and exit the room.


At this stage, the two squares near the exits are complete, which leaves only one possibility for the 2 squares on top of them.

Now, we created a "C" shape in the top-left corner. To avoid closing the loop, we must complete the line on top of the puzzle.

If we did the same on the bottom side, this would create a path that enters and exits the puzzle without visiting the whole room. The only way to avoid that is to move up.


Finally, to complete the puzzle, we have to link the top-half with the bottom-half, and there is only one way to achieve that.

It's done! And in every step, there was no other alternative. This proves that the problem had a unique solution.


Write a comment

Comments: 5
  • #1

    pulau seribu (Thursday, 11 December 2014 03:30)

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  • #2

    sheila tour (Thursday, 22 December 2016 05:44)

    Paket tahun baru (new year package) di Pulau Seribu tahun 2016 - 2017 dari Sheila Tour & Travel, paket yang didapatkan :

    Acara Kembang Api
    Gala dinner
    Live music
    Games
    Door prized
    Paket tools tahun baru (terompet, topi)

    Periode 31 Des 2016 - 2 Jan 2017
    PAKET TAHUN BARU PULAU AYER
    One Day Tour : Adult Child 2-10yo
    Rp. 350.000,- Rp. 350.000,-

    Include: Boat Return, Welcome Drink, Lunch

    Stay Over Night/person
    Room Type Stay 2Day / 1Night / Pax Stay 3Day / 2Night / Pax
    31 Dec-01 Jan 2017 30-1Jan / 31-2 Jan 2017
    Standard min 2 pax Rp 1.990.000,- Rp 2.725.000,-
    Deluxe Hotel min 2 pax Rp 1.890.000,- Rp 2.625.000,-
    Family min 2 pax Rp 2.290.000,- Rp 3.325.000,-
    VIP min 4 pax Rp 2.290.000,- Rp 3.325.000,-
    Bungalow min 2 pax Rp 1.990.000,- Rp 2.725.000,-
    Excecutive min 4 pax Rp 1.790.000,- Rp 2.355.000,-
    Exc. Person Rp 1.025.000,- Rp 1.895.000,-

    Include : Boat return, Cottages, 3x Meals (2D1N) 6x Meals (3D2N), Tax & Service 21%

    Facilities : Floating Restaurant, Land & Floating Cottage, Swimming Pool, Play Ground

    Extra Charge: Jet Sky, Banana Boat,Souvenir shop,Karaoke, Meeting Room, Traditional Boat

    Notes :

    Pembayaran dapat melalui BCA, kartu kredit Visa & Mastercard
    Tidak diperbolehkan membawa hewan peliharaan

    Boat Schedule :

    From Marina Pier 16: 09.00 am ( Weekend ) 08.00 am ( Weekday )

    From Island : 14.00 pm / 16.00 pm

  • #3

    sheila tour (Thursday, 22 December 2016 05:47)

    PAKET TAHUN BARU PULAU BIDADARI
    Room Type 2 Day/1 Night / Pax 3 Day/2 Night / Pax
    Deluxe Hotel Twin Share Rp 1.334.000,- Rp 2.346.000,-
    Family Twin Share Rp 1.556.000,- Rp 3.012.000,-
    Suite Twin Share Rp 1.945.000,- Rp 3.790.000,-
    Deluxe Hotel Quart Share Rp 1.223.000,- Rp 2.346.000,-
    Family Quart Share Rp 1.389.000,- Rp 2.678.000,-
    Suite Quart Share Rp 1.445.000,- Rp 2.790.000,-

    Include: Boat return, Cottages, 3x Meals 2D1N, 6x Meals 3D2N, Tax & Service 21%, tax and service

    Facilities : Restaurant, Land & Floating Cottage, Castle, Play Ground,Volley Beach (Extra Charge): Karaoke,Meeting Room, Island Trip,Billiard Jet Sky, Banana Boat

    Boat Schedule: From Marina : 10.00 From Island : 16.00 / 18.00

    #==============================================================================#
    PAKET TAHUN BARU PULAU PANTARA
    Room Type based on 2 Day / 1 Night / Pax 3 Day / 2 Night /Pax
    Single Rp 3.990.000,- Rp 6.735.000,-
    Twin Rp 2.990.000,- Rp 4.975.000,-
    Triple / Quad Sharing Rp 2.755.000,- Rp 4.550.000,-
    Child (6-12) Rp 1.650.000,- Rp 2.940.000,-
    Child (2-5) Rp 1.550.000,- Rp 2.740.000,-
    Infant (<2) Free Of Charge Free Of Charge

    Incd : Boat return, Cottages, 7x Meals, Tax & Service 21%, 1 hour snorkeling/30 minute canoe, • Door Prize: TV 29 “, Hotel Voucher “ Hotel Borobudur Jakarta, Kartika,Plaza Bali, Palace Hotel Cipanas, Wisma Musro Anyer, and Other Gift

    Facilities : Restaurant, Cottage, Meeting Room, Billiard, Snorkeling, Diving, Water Sky, Jet Sky, Canoe, Karaoke, Discotheque, swimming Pool,Banana Boat Entertainment Kalamuna Acoustik,

    Special Note : The price valid for Indonesian citizen & KIMS holder only, For non KIMS holder, the package rate in US$

    Notes :

    Pembayaran dapat melalui BCA, kartu kredit Visa & Mastercard
    Tidak diperbolehkan membawa hewan peliharaan

    Boat Schedule : From Marina : 08.30 Am From Island : 13.30 Pm

  • #4

    Rain Forest Journey (Thursday, 19 January 2017 09:21)

    Thank you for the information

  • #5

    Youngemerald (Thursday, 19 January 2017 09:22)

    good article... thq

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