Shadow Priest Secrets

Myths, Lies, and Misconceptions

When reviewing sites posting Shadow Priest data, you'll run across the repeated comment that Shadow Priest's do not have a spell cycle or rotation. Although applying the limited definition of a spell cycle used by the contributors, this is correct. However, I do not subscribe to this limited definition. The common definition is a repeatable cycle. (i.e. Spell_A, Spell_B, Spell_B, repeat). It is true; Shadow Priest's have no such repeatable cycle. In fact, most classes don't.

So what does that mean? Well, it means that we Shadow Priests are no worse off than any other class. In general, it also means that to maximize the DPS of most other classes, you need to do a bit more work than pressing three spells in a repeatable cycle.

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The Spell Cycles

Creating an optimized spell cycle is not a trivial task. In order to do this, I wrote a program specifically for the task and it took approximately 33 hours running two threads on my 3.33Ghz I7 to calculate the table below. Each haste value requires trying 2,142,720 variations. The table is therefore 3,216,222,720 total variations tried. This incredible amount of work is certainly not a task that can be accomplished by hand or in a spreadsheet.

Here is a look at the program:

 

So what spell cycle (rotation) should you use? For the most part, you can achieve a good level of DPS by just maintaining all three DoT types and Mind Blast/Mind Flay in between. In fact, during high movement fights, that's exactly what you have to do. What's critical to all DoT classes is to maintain your DoT without gaps and do not clip DoTs by recasting prematurely. Clipping and letting DoTs expire while doing direct damage spells are DPS killers. As an alternative to trying to follow these sequences, you can execute the first 5 spells and then follow the guidelines above. In fact, in practical terms, the greatest value of creating these cycles was to evaluate the class, not to use them in practice.

The following table shows the optimized spell cycle for each haste value assuming you have both T10 set bonuses. The tables for T9 and partial bonuses were deleted to clean up the page as raiding Shadow Priest all have T10 by now.

Each cycle was optimized for a 10min fight with the first 55 spells of that fight shown in the table. If you want all the gritty theorycrafting details about how they were created, go to Evaluating Gear and specifically Theory Crafting Details. If your eyes glaze over at the very mention of math, avoid accidentally clicking the theorycrafting link! For those interested in the full 10 min cycle, you can download the T10-4 table here.

I left the sequences in numeric format to avoid having the tables get too wide. You can paste your rotations into notepad and use find and replace to convert them into acronyms or keys you've bound to the spells. Casting Lag/delay is explained on the Theorycrafting page.

The numbers translate to:

3=Shadow Word: Pain, 4=Mind Blast, 5=Mind Flay, 7=Vampiric Touch, 8=Devouring Plague

Cycles - T10 2 and 4 Set Bonuses

Haste
T10 2&4 set bonus
Casting Delay = 300ms
0
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,4,8,7,5,4,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5
1 to 3
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
4 to 4
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,4,8,7,5,4,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5
5 to 7
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
8 to 8
 7,5,8,3,4,5,5,7,4,5,5,4,5,8,7,4,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,4,5,7,8,4,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5
9 to 11
 7,8,4,5,3,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,4,7,8,5,4,5,5,4,7,5,5,4,5,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5
12 to 20
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
21 to 39
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
40 to 55
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
56 to 67
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
68 to 84
 7,8,4,5,3,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,4,7,8,5,4,5,5,4,7,5,5,4,5,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5
85 to 109
 5,7,8,3,4,5,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,4,7,8,5,4,5,5,4,7,5,5,4,5,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5
110 to 121
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
122 to 138
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
139 to 159
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
160 to 164
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
165 to 173
 8,7,5,3,4,5,5,4,7,5,5,8,4,5,5,7,4,5,5,4,5,5,7,8,4,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5
174 to 177
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
178 to 195
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
196 to 197
 5,7,8,3,4,5,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,4,7,8,5,4,5,5,4,7,5,5,4,5,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5
198 to 199
 8,4,5,7,3,4,5,5,4,5,7,8,4,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5,8,7,4,5,5,4,5,5,7,4,5
200 to 201
 5,7,8,3,4,5,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,4,7,8,5,4,5,5,4,7,5,5,4,5,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5
202 to 204
 8,4,5,7,3,4,5,5,4,5,7,8,4,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5,8,7,4,5,5,4,5,5,7,4,5
205 to 213
 8,5,4,7,3,5,4,5,5,4,7,8,5,4,5,5,4,7,5,5,4,5,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8
214 to 226
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
227 to 244
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
245 to 262
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
263 to 276
 7,8,5,3,4,5,5,7,4,5,5,4,8,5,7,4,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5,5
277 to 281
 7,5,4,8,3,5,4,5,7,5,4,5,5,4,8,7,5,4,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8,7,4,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5
282 to 285
 8,7,5,3,4,5,5,4,7,5,5,8,4,5,5,7,4,5,5,4,5,5,7,8,4,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,4,7,5,8,4,5,5,4,7,5,5,4,5
286 to 290
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8
291 to 299
 8,7,5,3,4,5,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
300 to 304
 8,7,4,5,3,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
305 to 309
 8,7,5,3,4,5,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
310 to 318
 8,7,4,5,3,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
319 to 337
 8,7,5,3,4,5,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
338 to 352
 8,5,7,3,4,5,5,5,4,7,5,8,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,5,7,4,8,5
353 to 356
 5,8,4,7,3,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,5,7,4,8
357 to 360
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
361 to 381
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
382 to 387
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
388 to 391
 7,8,4,5,3,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8
392 to 396
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
397 to 409
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
410 to 412
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
413 to 426
 5,7,8,3,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5
427 to 437
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
438 to 456
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
457 to 466
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
467 to 477
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
478 to 482
 7,8,4,5,3,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8
483 to 487
 7,8,4,5,3,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7
488 to 491
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
492 to 497
 7,8,4,5,3,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8
498 to 513
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
514 to 514
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
515 to 518
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
519 to 526
 5,7,8,3,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5
527 to 529
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
530 to 534
 5,7,8,3,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5
535 to 545
 8,5,7,3,4,5,5,5,4,7,5,8,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
546 to 556
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
557 to 574
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
575 to 594
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
595 to 598
 7,8,4,5,3,5,4,5,7,5,4,5,8,5,4,7,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7
599 to 599
 8,7,5,3,4,5,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,5,8,4,5,5,5,7,4,5,5,5,8
600 to 605
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
606 to 610
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
611 to 616
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
617 to 621
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
622 to 627
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
628 to 638
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
639 to 655
 8,5,7,3,4,5,5,5,4,7,5,8,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
656 to 666
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
667 to 678
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
679 to 695
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
696 to 701
 4,7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7
702 to 707
 7,5,4,3,8,5,4,7,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7
708 to 712
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
713 to 724
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
725 to 730
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
731 to 737
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
738 to 748
 5,7,8,3,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5
749 to 750
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
751 to 760
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
761 to 770
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
771 to 778
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
779 to 796
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
797 to 802
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
803 to 807
 7,5,4,8,3,5,4,7,5,5,4,5,5,7,8,4,5,5,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,5,8,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7
808 to 820
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
821 to 839
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
840 to 845
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
846 to 851
 5,7,8,3,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5
852 to 858
 8,4,5,7,3,4,5,5,5,4,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5
859 to 870
 8,5,7,3,4,5,5,5,4,7,5,8,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
871 to 880
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
881 to 898
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
899 to 915
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
916 to 919
 4,7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7
920 to 923
 7,5,4,3,8,5,W,4,7,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5
924 to 926
 8,5,7,3,4,5,5,5,4,7,5,8,5,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,5,8
927 to 930
 7,5,4,3,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7
931 to 934
 8,7,5,4,3,5,5,4,7,5,5,8,4,5,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8
935 to 941
 8,7,5,3,4,5,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,5,8,4,5,5,5,7,4,5,5,5,8
942 to 948
 8,4,5,7,3,W,4,5,5,5,4,7,8,5,W,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5
949 to 954
 8,5,7,3,4,5,5,5,4,7,5,8,5,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
955 to 967
 8,4,5,7,3,W,4,5,5,5,4,7,8,5,W,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5
968 to 980
 8,5,7,3,4,5,5,5,4,7,5,8,5,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5
981 to 993
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
994 to 1007
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
1008 to 1027
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
1028 to 1029
 4,7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7
1030 to 1033
 8,5,7,3,4,5,5,5,4,7,5,8,5,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,5,8
1034 to 1034
 7,4,5,3,8,5,4,7,5,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7
1035 to 1041
 8,4,7,5,3,5,4,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,5,8
1042 to 1054
 7,8,5,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5,8
1055 to 1061
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
1062 to 1075
 5,7,8,3,4,5,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,4,8,5,5,4,7,5,5,4,5,5
1076 to 1081
 7,5,8,3,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,4,8,5,5,4,5,7,5,4,5,5,8,4,7,5,5,4,5,5,7,4
1082 to 1086
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,8,4,5,5,5,7,4,5,5,5,8,4
1087 to 1092
 7,4,8,5,3,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5
1093 to 1103
 5,7,8,3,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4
1104 to 1110
 5,8,7,3,4,5,5,5,4,7,5,5,8,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,8,4,5
1111 to 1131
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7
1132 to 1138
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,8,5,4,5
1139 to 1158
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7
1159 to 1174
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7
1175 to 1196
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5
1197 to 1204
 7,4,8,5,3,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5
1205 to 1206
 5,7,8,3,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4
1207 to 1210
 5,8,7,3,4,5,5,5,4,7,5,5,8,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,8,4,5
1211 to 1211
 5,7,8,3,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4
1212 to 1226
 5,8,7,3,4,5,5,5,4,7,5,5,8,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,8,4,5
1227 to 1231
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7
1232 to 1233
 7,8,4,5,3,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,8,2,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5
1234 to 1235
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7
1236 to 1241
 7,8,4,5,3,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,8,2,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5
1242 to 1243
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7
1244 to 1248
 7,8,4,5,3,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,8,2,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5
1249 to 1271
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,8,5,4,5
1272 to 1274
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7
1275 to 1278
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,8,5,4,5
1279 to 1280
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7
1281 to 1285
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,8,5,4,5
1286 to 1286
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,8,5,4,5
1287 to 1301
 7,4,8,5,3,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5
1302 to 1302
 5,8,7,3,4,5,5,5,4,7,5,5,8,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5
1303 to 1324
 7,4,8,5,3,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5
1325 to 1340
 5,8,7,3,4,5,5,5,4,7,5,5,8,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,8,4,5
1341 to 1345
 4,5,8,7,3,4,5,5,5,4,7,5,5,8,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,8,4
1346 to 1364
 7,8,4,5,3,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,8,2,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5
1365 to 1387
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,8,5,4,5
1388 to 1403
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,8,5,4,5
1404 to 1420
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,8,5,4,5
1421 to 1428
 7,4,8,5,3,5,4,7,5,5,4,5,8,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5
1429 to 1436
 5,7,8,3,4,5,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,8,7,5,4,5,5,5,7,4,5,8,5,4
1437 to 1452
 5,8,7,3,4,5,5,5,4,7,5,5,8,4,5,5,7,4,5,5,5,4,8,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,8,4,5
1453 to 1460
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7,8,2,4,5,5,5,7,4,5,5,8,4,5
1461 to 1461
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5
1462 to 1484
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5
1485 to 1493
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5
1494 to 1498
 7,5,8,3,4,5,5,7,4,5,5,5,8,4,7,5,5,4,5,5,7,4,5,8,5,4,5,7,5,4,5,5,5,8,7,4,5,5,5,4,5,7,5,8,4,5,5,5,7,4,5,5,5,8,4
1499 to 1500+
 7,8,5,3,4,5,5,7,4,5,5,8,4,5,7,5,4,5,5,5,7,8,4,5,5,5,4,7,5,5,4,8,5,5,7,4,5,5,5,4,5,7,8,5,4,5,5,5,7,4,5,5,8,4,5

 

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