Mr.Toad's Fifteen puzzle with timer (modified by stannic)

[vcuber13]

(1:39.694), 1:28.821, 1:32.858, 1:24.019, 1:24.233, 1:27.255, 1:21.660, (1:14.847), 1:25.289, 1:17.439, 1:24.529, 1:20.747, 1:21.216

Best Ao5 1:20.905 (8) 676.333 (7)
Best Ao12 1:23.521 (2) 699.6 (2)
Solves: 13
Mean TPS: 8.285

1:38.078, 1:13.008, (1:39.543), 1:20.730, 1:25.928, 1:25.179, 1:15.648, 1:23.617, 1:23.400, 1:24.964, 1:23.919, 1:22.709, 1:14.955, (1:10.568), 1:17.371

Best Ao5 1:18.345 (11) 661.667 (11)
Best Ao12 1:21.249 (4) 675.4 (4)
Solves: 15
Mean TPS: 8.259


@Jules what's your 7x7 pb?

edit:
relay 1:17.244, 44.264, 26.856, 13.209, 4.123, 1.034 = 2:46.730
649, 366, 241, 123, 33, 3 = 1415
8.487 tps

 

[Carrot]

I have a little speed challenge for you guys

on the 4x4, swap 1,2, and 5,6. How fast can you do that? (my alg is 32 tile slides/23 thumb slides and I do it IRL and not computer) Just did 2.61

 

[stannic]

I have a little speed challenge for you guys

on the 4x4, swap 1,2, and 5,6. How fast can you do that? (my alg is 32 tile slides/23 thumb slides and I do it IRL and not computer) Just did 2.61

Spoiler

Someone doing 100 tps would do this in 0.2 seconds.

Ok, v5.2 upd 7 beta is available: link

Just select "Scramble Type = Corner Swap22" and enjoy

- stannic

 

[vcuber13]

2.535 with 28 moves

 

[Carrot]

5.229 is the fastest I can get for Swap22 on the simulator tried 100 times

 

[stannic]

2.460 s in 20 moves @ 8.130 tps.

 

[Carrot]

2.460 s in 20 moves @ 8.130 tps.

I found the 20-mover, interesting.

EDIT: 1.93 IRL

 

[vcuber13]

1.793 with 20 moves

 

[stannic]

Added random swaps, 3-cycles and flip-180 scramble. The link is the same.

Please post your suggestions for another types of scramble.

I've had to change the criteria of solved configuration. Now the positions of two last tiles (14 and 15 in 4x4 puzzle, for example) do not matter; if it so happen that they are swapped then such configuration will also be considered solved. This change is not actual when scrambling the puzzle with standard scramble function, but it may be actual when solving turned 180 degrees configuration, for example, on 5x4 puzzle (because turned 180 5x4 is insolvable).

   19 18 17 16     1  2  3  4  5
15 14 13 12 11     6  7  8  9 10
10  9  8  7  6    11 12 13 14 15
 5  4  3  2  1    16 17 19 18
                 (counts as solved!)

- stannic

Edit: Corner Swap22: ao12 2.639, ao5 2.561, tps 7.603
times 2.650, 2.783, 2.644, 2.689, 2.509, (3.580), 2.770, 2.655, 2.491, 2.665, 2.536, (2.385)
moves (20), 20, 20, 20, 20, (26), 20, 20, 20, 20, 20, 20

 

[Jaycee]

7-2 relay first sub 4:30
1:48.848, 1:23.087, 50.396, 16.149, 9.997, 0.818 = 4:29.295
637, 468, 280, 105, 55, 3 = 1548

Almost choked on the 3x3!

Next attempt : 4:29.017. Lol.

 

[stannic]

Just solved 13x13 in 17:03.422. Movecount is 5732, mean tps 5.601. If it was 13x13-2x2 relay, then looking at my current averages it would be ~1 hour.

14x14 and 15x15 will take in common 40-60 min, and I can solve 16x16 in ~35 min. Adding all the times gives ~ 2-2.5 hours which is rather close to your estimate. I may try this someday early in the morning.

Just solved 14x14 in ~17:59. And accidentally pressed *** escape key.

Edit: 15x15 in 24:19.225, 8099 moves @ 5.550 tps with one fixed error (looped tiles 123-130).

Edit 2: Lucky 4x4 single: 8.037, 51 move @ 6.346 tps. Trying to sub-15 (mo10).

Edit 3: 4x4 mo10 13.238 s! 90.1 moves @ 6.806 mean tps
times: (8.037), 14.190, 14.108, 14.035, 11.520, 14.386, 15.995, 13.800, (16.637), 9.674
moves: (51), 97, 91, 95, 74, 98, 115, 99, (117), 64

Edit 4: 4x4 ao50 14.541, 100.708 moves @ 6.900 tps
best ao5: 12.205, 83.000 moves
best ao12: 13.498, 90.2 moves

Spoiler

times:
(8.037), 14.190, 14.108, 14.035, 11.520, 14.386, 15.995, 13.800, 16.637, 9.674,
19.255, 12.689, 13.237, 11.797, 14.671, 18.185, 11.817, (22.070), 15.813, 12.895,
14.398, 9.483, 9.429, 15.265, 12.734, 19.743, 12.882, 11.449, 14.816, 19.480,
15.257, 13.046, 13.305, 11.556, 15.017, 13.626, 17.135, 9.508, 17.592, 19.700,
13.422, 16.483, 18.779, 19.466, 12.874, 14.803, 16.430, 14.730, 16.555, 14.304

moves:
(51), 97, 91, 95, 74, 98, 115, 99, 117, 64,
121, 89, 91, 72, 99, 119, 77, (139), 106, 86,
99, 63, 64, 109, 96, 133, 100, 86, 106, 136,
109, 91, 100, 90, 116, 95, 119, 64, 122, 124,
102, 105, 130, 129, 96, 108, 109, 104, 117, 102

Edit 5: 4x4 best ao12 13.074, ao100 15.300, mean tps 6.883

Edit 6: re-done 14x14 puzzle. 23:14.117, 7313 moves @ 5.246 tps. So bad.

 

[qqwref]

14x14 in 16:34.551, 6312 moves, 6.347 tps. Not really *bad* but my 16x16 PB definitely felt better.

 

[stannic]

14x14 in 18:40.665, 6414 moves @ 5.723 tps, using Multi Rows scheme & solving row-by-row. Really need to learn the sequence of tiles to solve row/column/row/column.

Edit: v5.2 update 8 is available. Added two buttons to set puzzle size and mode (standard/relay). The reason is that the puzzle size changes when pressing arrow keys if the drop-down list is focused, and this causes resetting the timer with all the consequences. Also, there is a confirmation message when closing the tab / resetting the timer by Escape key.

 

[stannic]

What are limits of the average time?

2:33.664 2-7 relay
1:10.689, 48.827, 20.088, 7.013, 5.365, 1.682 = 2:33.664
642, 457, 212, 64, 48, 13 = 1436
I failed so hard on the last 2 ones but i'm really happy for the first 2 ones, i think they are PBs.

EDIT : sub 2:30 ! 2:28.955, with 9.855 TPS O_o
1:08.782, 46.176, 20.797, 8.917, 3.735, 0.548 = 2:28.955

What is the limit of the average solving time (on the simulator)?

Well, just for the heck of it I've solved a bunch of random NxN puzzles with suboptimal solver (kumi na tano). I've set program to place tiles one-by-one, just as in beginner's method (without any grouping etc.) Last two tiles in each row are done simultaneously, and last two rows are done simultaneously. The following table shows the average length of the solution (1000 random configurations of each size are solved) and the estimated average time assuming tps = 10.

[table="width: 500, class: grid"]
[tr][td="bgcolor:lightgray"]NxN[/td][td="bgcolor:lightgray"]Avg.Len[/td][td="bgcolor:lightgray"]Time @10tps[/td][td="bgcolor:lightgray"]Best posted human time[/td][/tr]

[tr][td]4x4[/td][td]95.6[/td][td]9.56[/td]

[td]oranjules: 9.271 ao12
vcuber13: low 9 ao12, 10.93 ao100[/td][/tr]

[tr][td]5x5[/td][td]210.3[/td][td]21[/td]

[td]vcuber13: 25.594 ao12
oranjules: (20.088)[/td][/tr]

[tr][td]6x6[/td][td]393.3[/td][td]39[/td]

[td]vcuber13: 45.902 ao12[/td][/tr]

[tr][td]7x7[/td][td]659.6[/td][td]1:06[/td]

[td]oranjules: (1:08.782)
vcuber13: 1:21.249 ao12[/td][/tr]

[tr][td]8x8[/td][td]1018[/td][td]1:42[/td]

[td]oranjules: 2:13.073 ao5[/td][/tr]

[tr][td]9x9[/td][td]1493[/td][td]2:29[/td]

[td]vcuber13: 3:29.750 ao5[/td][/tr]

[tr][td]10x10[/td][td]2088[/td][td]3:29[/td]

[td]stannic: 6:18.771 ao5[/td][/tr]

[/table]

* Times in the brackets are singles. I'll replace them with averages as soon as they will be available.

Spoiler: For those interested in how to repeat the computation

1. Run kumi na tano.

2. Click Wizard > Project Actions > Project > Create.

3. Set puzzle size you want (e.g., 10x10) and metric STM.

4. Check "Human "row-by-row" solving algorithm" checkbox.

5. Click OK button, then Activate in the message dialog.

6. Click Solver > Solver > Batch.

7. Add Random > 1000 > OK.

8. Click Batch Solver button.

9. After the solver finishes all 1000 instances, write down Average Length from the program window.

 

[vcuber13]

relay 1:17.244, 44.264, 26.856, 13.209, 4.123, 1.034 = 2:46.730
649, 366, 241, 123, 33, 3 = 1415
8.487 tps

i got a 44 6x6 during this relay

why'd you put average for 8x8 but single for the others?

 

[stannic]

i got a 44 6x6 during this relay

why'd you put average for 8x8 but single for the others?

Oh well, it's true. I'll put singles in brackets.

Edit: I'll see through threads if there are better averages.

Edit 2: Or you could just post them.

 

[uvafan]

7-2 relay first sub 4:30
1:48.848, 1:23.087, 50.396, 16.149, 9.997, 0.818 = 4:29.295
637, 468, 280, 105, 55, 3 = 1548

Almost choked on the 3x3!

Next attempt : 4:29.017. Lol.

I'll race you to sub4. My current PB:

2:25.477, 1:19.766, 36.849, 19.066, 5.805, 0.678 = 4:47.641

683, 414, 190, 105, 28, 2 = 1422

EDIT:

YES WOW beat my pb by 25 seconds. ahead of you now

1:52.102, 1:19.467, 41.512, 19.734, 8.710, 0.775 = 4:22.300

609, 391, 200, 92, 44, 2 = 1338

My hands were shaking on the 3x3...

 

[Jaycee]

My PB is now only .128 seconds ahead of yours now!

No. Times Moves TPS
5 4:37.187 1528 5.513
4 4:36.126 1555 5.631
3 4:22.172 1533 5.847
2 4:31.281 1564 5.765
1 4:29.418 1525 5.660

Spoiler

1:54.939, 1:21.923, 39.405, 20.219, 12.144, 0.788 = 4:29.418
1:49.426, 1:19.364, 48.331, 25.177, 7.918, 1.065 = 4:31.281
1:56.585, 1:15.046, 42.398, 22.098, 5.296, 0.749 = 4:22.172
2:06.240, 1:21.186, 45.352, 17.582, 5.045, 0.721 = 4:36.126
1:54.090, 1:21.130, 47.756, 27.376, 5.994, 0.841 = 4:37.187

669, 463, 212, 120, 60, 1 = 1525
631, 464, 281, 147, 36, 5 = 1564
699, 438, 265, 111, 18, 2 = 1533
763, 447, 223, 102, 18, 2 = 1555
644, 433, 273, 145, 30, 3 = 1528

 

[stannic]

5x5 mo10 pb 33.370 by 0.263
times: 36.063, 28.700, 37.986, 32.771, 35.145, 28.591, 29.767, 38.697, (27.072), (38.909)
moves: 229, (166), (247), 197, 214, 169, 198, 218, 177, 237 (mean 205.2)
mean tps 6.149

to be sub-30 @ tps 6, movecount should be < 180

Edit: 5x5 mo10 31.956, 211.7 moves @ 6.625 tps

Edit 2: 5x5-2x2 relay mo10 58.143, 384.6 moves @ 6.615 tps

Spoiler

times:
38.828, 18.861, 5.154, 0.659 = 1:03.502
36.581, 16.939, 4.789, 0.642 = 58.951
33.902, 17.707, 6.129, 0.804 = 58.542
35.079, 18.004, 6.966, 1.079 = 1:01.128
30.449, 16.004, 6.202, 2.180 = 54.835
37.449, 22.067, 5.160, 0.993 = 1:05.669
35.400, 15.578, 8.586, 0.947 = 1:00.511
36.263, 12.740, 5.890, 0.538 = 55.431
26.163, 14.118, 5.810, 1.245 = 47.336
31.036, 15.149, 8.616, 0.723 = 55.524

moves:
250, 118, 34, 2 = 404
251, 116, 34, 2 = 403
230, 118, 36, 3 = 387
245, 115, 44, 4 = 408
218, 99, 37, 11 = 365
252, 146, 32, 5 = 435
248, 102, 47, 2 = 399
241, 79, 36, 1 = 357
178, 91, 39, 7 = 315
211, 106, 53, 3 = 373

Edit 3: 6x6 mo10 sub 1!
mean time 59.162 (prev pb 1:08.117)
moves 384.5 (prev pb 438.2)
mean tps 6.499

Edit 4: 5x5 mo10 30.911, 215.2 moves @ 6.962 tps, best ao5 28.111
times: 33.230, 30.835, 30.497, 34.234, 32.166, (36.962), (26.855), 27.861, 27.636, 28.835
moves: 230, 208, 224, 234, 225, (244), 198, (189), 191, 209

Edit 5: 7x7-2x2 relay 1:43.092, 1:09.056, 36.850, 16.626, 5.847, 0.800 = 3:52.271 (prev pb 3:54.226)

Edit 6: 14x14 ao5 19:55.098.

 

[vcuber13]

My PBs:

Puzzle     Single	 Average of 5	Average of 12			
4x4	   2.29	         6.99	        low 9
5x5	   23.12	 24.19	        25.594
6x6	   40.565	 43.838	        45.902
7x7	   1.10.568      1.18.345	1.21.249