Difference between revisions of "NPDs"

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(→‎Behavior: R28 bot dp formula)
 
(16 intermediate revisions by 4 users not shown)
Line 8: Line 8:
 
! Land Size !! Percentage of NPDs
 
! Land Size !! Percentage of NPDs
 
|-
 
|-
−
| 525-600 || 30%
+
| 526-600 || 20%
 
|-
 
|-
−
| 451-525 || 50%
+
| 525 || 15%
 
|-
 
|-
−
| 400-450 || 20%
+
| 400-524 || 65%
 
|}
 
|}
  
 
==Defense==
 
==Defense==
−
NPDs spawn with defense based on this formula <code>120 * exp(0.0058 * [Total Land])</code> multiplied by a random factor.
+
NPDs spawn with defense based on this formula <code>45.8 * exp(0.0075 * [Total Land])</code> up to 525 acres and this formula <code>710 * exp(0.003 * [Total Land])</code> above 525 acres, multiplied by a random factor.
 
The random factor for ~85% of NPDs is +/- 10%, but for the remaining ~15% it is +15-20%. Dominions on the lower end of the spectrum will spawn with a random amount of offensive specialists to mask the increased networth of those on the higher end.
 
The random factor for ~85% of NPDs is +/- 10%, but for the remaining ~15% it is +15-20%. Dominions on the lower end of the spectrum will spawn with a random amount of offensive specialists to mask the increased networth of those on the higher end.
−
Every NPD will have an additional 1700-2200 defense incoming during the first 12 hours.
+
Every NPD will have an additional 1000-1700 defense incoming during the first 12 hours.
 
The larger dominions are more likely to have Guard Towers, but none of them have walls until later in the round (so no need to castle spy at OOP).
 
The larger dominions are more likely to have Guard Towers, but none of them have walls until later in the round (so no need to castle spy at OOP).
 +
Prior to [[Round 30]], NPDs greater than 525 acres had their defense greatly increased to prevent them from being easy targets OOP.
 
{| class="wikitable"
 
{| class="wikitable"
 
|+ NPD Defense
 
|+ NPD Defense
Line 25: Line 26:
 
! Land Size !! Base Defense !! Low Range (85%) !! High Range (15%)
 
! Land Size !! Base Defense !! Low Range (85%) !! High Range (15%)
 
|-
 
|-
−
| 400 || 1221 || 1099-1343 || 1404-1465
+
| 400 || 920 || 874-966 || 1058-1104
 
|-
 
|-
−
| 425 || 1412 || 1271-1553 || 1624-1694
+
| 425 || 1110 || 1055-1166 || 1277-1332
 
|-
 
|-
−
| 450 || 1632 || 1469-1795 || 1877-1958
+
| 450 || 1338 || 1271-1405 || 1539-1606
 
|-
 
|-
−
| 475 || 1887 || 1698-2076 || 2170-2264
+
| 475 || 1615 || 1534-1696 || 1857-1938
 
|-
 
|-
−
| 500 || 2181 || 1963-2399 || 2508-2617
+
| 500 || 1947 || 1850-2044 || 2239-2336
 
|-
 
|-
−
| 525 || 2521 || 2269-2773 || 2899-3025
+
| 525 || 2349 || 2232-2466 || 2701-2819
 
|-
 
|-
−
| 550 || 2915 || 2624-3207 || 3352-3498
+
| 550 || 3697 || 3327-4067 || 4252-4436
 
|-
 
|-
−
| 575 || 3369 || 3032-3706 || 3874-4043
+
| 575 || 3985 || 3587-4384 || 4583-4782
 
|-
 
|-
−
| 600 || 3895 || 3506-4285 || 4479-4674
+
| 600 || 4295 || 3866-4725 || 4939-5154
 
|}
 
|}
−
 
−
Attacking bots gives you normal [[prestige]] gains as human targets for four attacks. Starting with the 5th your prestige gain will dip by 10% each successive hit, but will always give you at least 50% of the normal prestige.
 
  
 
==Behavior==
 
==Behavior==
Line 53: Line 52:
 
<code>(0.063 * [DaysAsFraction]^3) - (4.8 * [DaysAsFraction]^2) + (181 * [DaysAsFraction]) - 116</code>
 
<code>(0.063 * [DaysAsFraction]^3) - (4.8 * [DaysAsFraction]^2) + (181 * [DaysAsFraction]) - 116</code>
 
====Final DP By Land====
 
====Final DP By Land====
−
<code>[DP Formula] * 0.95 * (([Expected Land Size] / [Land])^-1.5)</code>
+
<code>[DP Formula] * (([Expected Land Size] / [Land])^-1.375)</code>
  
 
<div style="overflow: auto;">
 
<div style="overflow: auto;">
Line 62: Line 61:
 
|-
 
|-
 
! 1
 
! 1
−
| 3503 || style="background: lightgreen"|4298 || 5124 || 5977 || 6856 || 7758 || 8681 || 9624 || 10586 || 11566 || 12563 || 13576 || 14604 || 15647 || 16704 || 17775 || 18859 || 19955 || 21064 || 22184 || 23316 || 24459 || 25612 || 26776 || 27951 || 29135 || 30329 || 31532 || 32745 || 33967 || 35197 || 36437 || 37685 || 38941 || 40205 || 41477 || 42757 || 44045 || 45341 || 46643 || 47954 || 49271 || 50595 || 51927 || 53265 || 54610 || 55962 || 57320 || 58685
+
| 3607 || 4517 || 5480 || 6492 || 7548 || 8647 || 9786 || 10962 || 12173 || 13418 || 14695 || 16004 || 17342 || 18709 || 20104 || 21526 || 22974 || 24448 || 25946 || 27468 || 29013 || 30581 || 32171 || 33783 || 35417 || 37071 || 38745 || 40440 || 42154 || 43887 || 45639 || 47410 || 49199 || 51006 || 52831 || 54672 || 56531 || 58407 || 60300 || 62208 || 64133 || 66074 || 68030 || 70002 || 71989 || 73991 || 76008 || 78040 || 80086
 
|-
 
|-
 
! 2
 
! 2
−
| 6060 || 7435 || 8863 || style="background: lightgreen"|10340 || 11859 || 13419 || 15016 || 16647 || 18312 || 20007 || 21731 || 23483 || 25262 || 27066 || 28895 || 30747 || 32621 || 34518 || 36435 || 38373 || 40331 || 42307 || 44303 || 46317 || 48348 || 50396 || 52462 || 54544 || 56641 || 58755 || 60883 || 63027 || 65185 || 67358 || 69545 || 71746 || 73960 || 76188 || 78429 || 80682 || 82949 || 85227 || 87518 || 89821 || 92136 || 94463 || 96801 || 99151 || 101511
+
| 6061 || 7591 || 9209 || 10910 || 12686 || 14533 || 16446 || 18422 || 20458 || 22551 || 24698 || 26897 || 29146 || 31444 || 33788 || 36178 || 38612 || 41088 || 43605 || 46163 || 48760 || 51396 || 54069 || 56778 || 59523 || 62303 || 65117 || 67965 || 70846 || 73759 || 76704 || 79680 || 82686 || 85723 || 88790 || 91885 || 95009 || 98162 || 101342 || 104550 || 107785 || 111047 || 114334 || 117648 || 120988 || 124353 || 127743 || 131158 || 134597
 
|-
 
|-
 
! 3
 
! 3
−
| 7598 || 9323 || 11114 || 12964 || 14870 || 16825 || 18828 || 20873 || 22960 || 25086 || 27248 || 29445 || 31675 || 33937 || 36230 || 38552 || 40903 || 43280 || 45685 || 48114 || 50569 || 53048 || 55550 || 58075 || 60622 || 63190 || 65780 || 68390 || 71020 || 73670 || 76339 || 79027 || 81734 || 84458 || 87200 || 89959 || 92736 || 95529 || 98339 || 101164 || 104006 || 106863 || 109736 || 112624 || 115526 || 118443 || 121375 || 124321 || 127281
+
| 7431 || 9305 || 11290 || 13374 || 15552 || 17816 || 20161 || 22584 || 25079 || 27645 || 30276 || 32972 || 35730 || 38547 || 41421 || 44350 || 47333 || 50369 || 53455 || 56591 || 59774 || 63005 || 66282 || 69603 || 72968 || 76376 || 79826 || 83317 || 86849 || 90420 || 94030 || 97678 || 101364 || 105086 || 108845 || 112640 || 116470 || 120335 || 124234 || 128166 || 132132 || 136130 || 140161 || 144223 || 148317 || 152442 || 156598 || 160784 || 165000
 
|-
 
|-
 
! 4
 
! 4
−
| 8652 || 10615 || 12655 || 14762 || 16932 || 19159 || style="background: lightgreen"|21439 || 23768 || 26144 || 28565 || 31026 || 33528 || 36068 || 38644 || 41254 || 43898 || 46575 || 49282 || 52020 || 54787 || 57582 || 60404 || 63254 || 66129 || 69029 || 71954 || 74902 || 77874 || 80870 || 83887 || 86926 || 89987 || 93068 || 96171 || 99293 || 102435 || 105597 || 108777 || 111976 || 115194 || 118430 || 121683 || 124954 || 128242 || 131547 || 134869 || 138208 || 141562 || 144933
+
| 8309 || 10405 || 12624 || 14955 || 17390 || 19922 || 22545 || 25253 || 28044 || 30913 || 33856 || 36870 || 39954 || 43103 || 46317 || 49593 || 52929 || 56323 || 59774 || 63281 || 66841 || 70453 || 74117 || 77831 || 81594 || 85405 || 89263 || 93167 || 97116 || 101109 || 105146 || 109225 || 113347 || 117509 || 121713 || 125956 || 130239 || 134560 || 138920 || 143317 || 147752 || 152223 || 156730 || 161273 || 165850 || 170463 || 175110 || 179791 || 184505
 
|-
 
|-
 
! 5
 
! 5
−
| 9446 || 11590 || 13817 || 16118 || 18487 || 20918 || 23407 || 25951 || 28545 || 31187 || 33875 || 36607 || 39380 || 42192 || 45042 || 47929 || 50852 || 53808 || 56797 || 59818 || 62869 || 65951 || 69062 || 72201 || 75367 || 78561 || 81780 || 85025 || 88295 || 91590 || 94908 || 98250 || 101614 || 105002 || 108411 || 111841 || 115293 || 118766 || 122259 || 125772 || 129304 || 132857 || 136428 || 140018 || 143627 || 147254 || 150899 || 154561 || 158241
+
| 8937 || 11192 || 13578 || 16085 || 18704 || 21427 || 24248 || 27161 || 30163 || 33248 || 36414 || 39656 || 42972 || 46360 || 49817 || 53340 || 56928 || 60579 || 64290 || 68062 || 71891 || 75776 || 79717 || 83712 || 87759 || 91858 || 96007 || 100206 || 104453 || 108748 || 113090 || 117477 || 121910 || 126388 || 130909 || 135473 || 140079 || 144727 || 149416 || 154145 || 158915 || 163724 || 168571 || 173457 || 178381 || 183342 || 188340 || 193375 || 198445
 
|-
 
|-
 
! 6
 
! 6
−
| 10091 || 12381 || 14760 || 17218 || 19748 || 22346 || 25005 || 27722 || 30493 || style="background: lightgreen"|33316 || 36187 || 39105 || 42067 || 45072 || 48116 || 51200 || 54322 || 57480 || 60673 || 63900 || 67160 || 70452 || 73775 || 77128 || 80511 || 83922 || 87361 || 90828 || 94321 || 97841 || 101385 || 104955 || 108549 || 112168 || 115809 || 119474 || 123161 || 126871 || 130602 || 134355 || 138129 || 141924 || 145739 || 149574 || 153429 || 157303 || 161197 || 165109 || 169041
+
| 9426 || 11804 || 14322 || 16966 || 19728 || 22600 || 25576 || 28649 || 31815 || 35069 || 38408 || 41828 || 45326 || 48899 || 52545 || 56261 || 60045 || 63896 || 67811 || 71789 || 75828 || 79926 || 84083 || 88296 || 92565 || 96888 || 101265 || 105693 || 110173 || 114703 || 119283 || 123911 || 128587 || 133309 || 138078 || 142891 || 147750 || 152652 || 157598 || 162587 || 167617 || 172690 || 177803 || 182956 || 188150 || 193383 || 198654 || 203964 || 209313
 
|-
 
|-
 
! 7
 
! 7
−
| 10645 || 13061 || 15570 || 18163 || 20832 || 23572 || 26377 || 29243 || 32166 || 35144 || style="background: lightgreen"|38173 || 41251 || 44376 || 47545 || 50757 || 54010 || 57303 || 60634 || 64002 || 67407 || 70845 || 74318 || 77823 || 81361 || 84929 || 88527 || 92155 || 95812 || 99497 || 103209 || 106949 || 110714 || 114506 || 118323 || 122164 || 126030 || 129920 || 133833 || 137769 || 141728 || 145709 || 149712 || 153736 || 157782 || 161848 || 165935 || 170042 || 174169 || 178316
+
| 9835 || 12317 || 14943 || 17703 || 20585 || 23582 || 26686 || 29893 || 33196 || 36591 || 40075 || 43643 || 47293 || 51021 || 54826 || 58703 || 62652 || 66670 || 70755 || 74905 || 79120 || 83396 || 87733 || 92129 || 96583 || 101094 || 105661 || 110282 || 114956 || 119683 || 124461 || 129290 || 134169 || 139096 || 144072 || 149094 || 154164 || 159279 || 164440 || 169645 || 174894 || 180186 || 185521 || 190899 || 196317 || 201777 || 207278 || 212819 || 218399
 
|-
 
|-
 
! 8
 
! 8
−
| 11142 || 13670 || 16296 || 19010 || 21804 || 24672 || 27608 || 30608 || 33668 || 36784 || 39955 || 43176 || style="background: lightgreen"|46447 || 49764 || 53126 || 56531 || 59977 || 63464 || 66989 || 70552 || 74152 || 77786 || 81455 || 85158 || 88892 || 92659 || 96456 || 100284 || 104141 || 108026 || 111940 || 115881 || 119850 || 123845 || 127866 || 131912 || 135983 || 140079 || 144199 || 148342 || 152509 || 156699 || 160911 || 165145 || 169402 || 173679 || 177978 || 182298 || 186638
+
| 10197 || 12770 || 15493 || 18353 || 21341 || 24448 || 27667 || 30991 || 34416 || 37936 || 41548 || 45247 || 49031 || 52897 || 56841 || 60861 || 64955 || 69120 || 73355 || 77658 || 82027 || 86461 || 90957 || 95515 || 100133 || 104810 || 109544 || 114335 || 119181 || 124082 || 129036 || 134042 || 139100 || 144208 || 149367 || 154574 || 159830 || 165133 || 170484 || 175880 || 181322 || 186809 || 192340 || 197915 || 203533 || 209194 || 214896 || 220641 || 226426
 
|-
 
|-
 
! 9
 
! 9
−
| 11602 || 14235 || 16970 || 19796 || 22706 || 25692 || 28749 || 31873 || 35060 || 38305 || 41607 || 44962 || 48367 || style="background: lightgreen"|51821 || 55322 || 58868 || 62457 || 66088 || 69760 || 73470 || 77218 || 81003 || 84824 || 88679 || 92568 || 96490 || 100445 || 104430 || 108447 || 112493 || 116569 || 120673 || 124806 || 128966 || 133153 || 137366 || 141606 || 145871 || 150161 || 154476 || 158815 || 163178 || 167565 || 171974 || 176406 || 180861 || 185338 || 189836 || 194356
+
| 10530 || 13187 || 15999 || 18953 || 22038 || 25247 || 28570 || 32003 || 35540 || 39175 || 42905 || 46725 || 50632 || 54624 || 58697 || 62848 || 67076 || 71377 || 75751 || 80194 || 84706 || 89284 || 93927 || 98634 || 103403 || 108232 || 113121 || 118068 || 123073 || 128133 || 133249 || 138419 || 143642 || 148918 || 154244 || 159622 || 165049 || 170526 || 176051 || 181623 || 187243 || 192909 || 198621 || 204378 || 210179 || 216025 || 221914 || 227846 || 233820
 
|-
 
|-
 
! 10
 
! 10
−
| 12040 || 14773 || 17611 || 20544 || 23563 || 26662 || 29835 || 33077 || 36383 || 39751 || 43177 || 46659 || 50193 || 53778 || style="background: lightgreen"|57411 || 61090 || 64815 || 68583 || 72393 || 76243 || 80133 || 84061 || 88026 || 92026 || 96062 || 100133 || 104236 || 108372 || 112540 || 116740 || 120969 || 125228 || 129517 || 133834 || 138179 || 142552 || 146951 || 151378 || 155830 || 160307 || 164810 || 169338 || 173890 || 178466 || 183066 || 187688 || 192334 || 197002 || 201693
+
| 10846 || 13583 || 16479 || 19522 || 22700 || 26005 || 29429 || 32965 || 36607 || 40352 || 44194 || 48129 || 52154 || 56265 || 60460 || 64736 || 69091 || 73522 || 78027 || 82604 || 87251 || 91967 || 96749 || 101597 || 106509 || 111484 || 116520 || 121615 || 126770 || 131983 || 137252 || 142577 || 147957 || 153391 || 158878 || 164417 || 170008 || 175649 || 181340 || 187080 || 192868 || 198704 || 204588 || 210518 || 216493 || 222515 || 228581 || 234691 || 240844
 
|-
 
|-
 
! 11
 
! 11
−
| 12464 || 15293 || 18231 || 21267 || 24393 || 27601 || 30886 || 34242 || 37665 || 41151 || 44698 || 48302 || 51961 || 55672 || 59433 || style="background: lightgreen"|63242 || 67098 || 70999 || 74943 || 78929 || 82955 || 87021 || 91126 || 95268 || 99446 || 103659 || 107908 || 112189 || 116504 || 120851 || 125230 || 129639 || 134079 || 138548 || 143046 || 147572 || 152127 || 156709 || 161318 || 165953 || 170615 || 175302 || 180014 || 184752 || 189513 || 194299 || 199108 || 203941 || 208796
+
| 11153 || 13968 || 16946 || 20075 || 23343 || 26742 || 30262 || 33899 || 37644 || 41495 || 45446 || 49492 || 53631 || 57859 || 62173 || 66570 || 71048 || 75605 || 80237 || 84944 || 89722 || 94572 || 99490 || 104475 || 109526 || 114642 || 119820 || 125061 || 130361 || 135722 || 141140 || 146616 || 152149 || 157737 || 163379 || 169075 || 174824 || 180625 || 186477 || 192379 || 198332 || 204333 || 210383 || 216481 || 222626 || 228818 || 235056 || 241339 || 247667
 
|-
 
|-
 
! 12
 
! 12
−
| 12880 || 15804 || 18840 || 21977 || 25207 || 28523 || 31917 || 35385 || 38922 || 42525 || 46190 || 49915 || 53695 || 57530 || 61417 || 65354 || style="background: lightgreen"|69338 || 73369 || 77445 || 81564 || 85725 || 89927 || 94168 || 98448 || 102766 || 107120 || 111510 || 115935 || 120394 || 124886 || 129411 || 133967 || 138555 || 143173 || 147822 || 152499 || 157206 || 161941 || 166704 || 171494 || 176311 || 181155 || 186025 || 190920 || 195840 || 200786 || 205756 || 210750 || 215767
+
| 11456 || 14347 || 17407 || 20621 || 23978 || 27468 || 31085 || 34820 || 38667 || 42623 || 46680 || 50837 || 55088 || 59431 || 63862 || 68379 || 72979 || 77659 || 82417 || 87252 || 92161 || 97142 || 102193 || 107314 || 112503 || 117757 || 123076 || 128459 || 133904 || 139410 || 144976 || 150601 || 156283 || 162023 || 167819 || 173669 || 179574 || 185533 || 191544 || 197607 || 203721 || 209886 || 216100 || 222364 || 228676 || 235036 || 241443 || 247897 || 254397
 
|-
 
|-
 
! 13
 
! 13
−
| 13293 || 16310 || 19443 || 22681 || 26014 || 29436 || 32938 || 36518 || 40168 || 43887 || 47669 || 51513 || 55414 || 59372 || 63383 || 67446 || 71558 || style="background: lightgreen"|75718 || 79924 || 84175 || 88469 || 92806 || 97183 || 101600 || 106056 || 110550 || 115080 || 119647 || 124248 || 128884 || 133554 || 138256 || 142991 || 147757 || 152554 || 157382 || 162239 || 167125 || 172041 || 176984 || 181956 || 186954 || 191980 || 197032 || 202110 || 207214 || 212343 || 217496 || 222675
+
| 11759 || 14725 || 17866 || 21164 || 24610 || 28193 || 31905 || 35738 || 39687 || 43747 || 47912 || 52178 || 56541 || 60999 || 65547 || 70183 || 74903 || 79707 || 84591 || 89553 || 94591 || 99704 || 104889 || 110144 || 115470 || 120863 || 126322 || 131847 || 137435 || 143086 || 148799 || 154572 || 160405 || 166296 || 172244 || 178249 || 184310 || 190426 || 196596 || 202818 || 209094 || 215421 || 221799 || 228228 || 234707 || 241234 || 247811 || 254435 || 261106
 
|-
 
|-
 
! 14
 
! 14
−
| 13704 || 16814 || 20045 || 23383 || 26819 || 30347 || 33958 || 37648 || 41411 || 45245 || 49144 || 53107 || 57130 || 61210 || 65345 || 69533 || 73773 || 78061 || style="background: lightgreen"|82398 || 86780 || 91207 || 95678 || 100191 || 104745 || 109338 || 113971 || 118642 || 123350 || 128094 || 132873 || 137687 || 142535 || 147416 || 152330 || 157275 || 162252 || 167260 || 172298 || 177365 || 182462 || 187587 || 192741 || 197922 || 203130 || 208365 || 213627 || 218915 || 224228 || 229567
+
| 12062 || 15105 || 18326 || 21710 || 25245 || 28920 || 32727 || 36660 || 40711 || 44875 || 49147 || 53523 || 57999 || 62572 || 67237 || 71993 || 76835 || 81763 || 86773 || 91863 || 97031 || 102275 || 107594 || 112985 || 118448 || 123980 || 129580 || 135247 || 140980 || 146777 || 152637 || 158559 || 164542 || 170585 || 176687 || 182847 || 189064 || 195337 || 201666 || 208049 || 214487 || 220977 || 227520 || 234115 || 240760 || 247456 || 254202 || 260997 || 267841
 
|-
 
|-
 
! 15
 
! 15
−
| 14117 || 17320 || 20648 || 24087 || 27627 || 31260 || 34980 || 38781 || 42658 || 46606 || 50623 || 54705 || 58849 || 63052 || 67311 || 71626 || 75993 || 80410 || 84877 || style="background: lightgreen"|89391 || 93952 || 98557 || 103206 || 107897 || 112629 || 117401 || 122212 || 127062 || 131948 || 136872 || 141830 || 146824 || 151852 || 156914 || 162008 || 167135 || 172293 || 177483 || 182703 || 187953 || 193232 || 198541 || 203878 || 209243 || 214636 || 220055 || 225502 || 230976 || 236475
+
| 12368 || 15488 || 18791 || 22261 || 25885 || 29653 || 33557 || 37589 || 41743 || 46012 || 50393 || 54880 || 59470 || 64158 || 68941 || 73817 || 78783 || 83835 || 88972 || 94191 || 99490 || 104867 || 110321 || 115849 || 121450 || 127122 || 132865 || 138675 || 144553 || 150497 || 156506 || 162578 || 168712 || 174909 || 181165 || 187481 || 193856 || 200288 || 206777 || 213323 || 219923 || 226578 || 233287 || 240048 || 246863 || 253728 || 260645 || 267612 || 274629
 
|-
 
|-
 
! 16
 
! 16
−
| 14531 || 17829 || 21254 || 24794 || 28438 || 32178 || 36007 || 39920 || 43911 || 47975 || 52110 || 56312 || 60577 || 64904 || 69288 || 73730 || 78225 || 82772 || 87370 || 92017 || style="background: lightgreen"|96712 || 101452 || 106237 || 111066 || 115937 || 120849 || 125802 || 130794 || 135824 || 140892 || 145997 || 151137 || 156313 || 161523 || 166767 || 172044 || 177354 || 182696 || 188069 || 193474 || 198908 || 204373 || 209866 || 215389 || 220940 || 226519 || 232126 || 237760 || 243421
+
| 12676 || 15875 || 19260 || 22817 || 26531 || 30394 || 34395 || 38528 || 42785 || 47161 || 51652 || 56251 || 60955 || 65760 || 70663 || 75661 || 80750 || 85929 || 91194 || 96543 || 101975 || 107486 || 113076 || 118742 || 124483 || 130297 || 136183 || 142139 || 148163 || 154256 || 160414 || 166638 || 172926 || 179277 || 185690 || 192164 || 198698 || 205291 || 211942 || 218651 || 225416 || 232237 || 239113 || 246044 || 253028 || 260065 || 267155 || 274296 || 281488
 
|-
 
|-
 
! 17
 
! 17
−
| 14949 || 18342 || 21865 || 25507 || 29255 || 33103 || 37042 || 41067 || 45173 || 49354 || 53608 || 57931 || 62319 || 66769 || 71280 || 75849 || 80473 || 85151 || 89882 || 94662 || style="background: lightgreen"|99491 || 104368 || 109291 || 114258 || 119269 || 124323 || 129418 || 134553 || 139728 || 144942 || 150193 || 155481 || 160806 || 166166 || 171560 || 176989 || 182452 || 187947 || 193475 || 199035 || 204625 || 210247 || 215898 || 221580 || 227291 || 233030 || 238798 || 244594 || 250418
+
| 12989 || 16266 || 19735 || 23379 || 27185 || 31143 || 35243 || 39477 || 43839 || 48324 || 52924 || 57637 || 62457 || 67381 || 72404 || 77525 || 82740 || 88046 || 93441 || 98922 || 104488 || 110135 || 115862 || 121668 || 127551 || 133508 || 139538 || 145641 || 151814 || 158057 || 164367 || 170744 || 177187 || 183695 || 190265 || 196899 || 203594 || 210349 || 217164 || 224038 || 230970 || 237959 || 245005 || 252106 || 259263 || 266473 || 273738 || 281055 || 288424
 
|-
 
|-
 
! 18
 
! 18
−
| 15370 || 18858 || 22481 || 26225 || 30079 || 34035 || 38085 || 42224 || 46445 || 50744 || 55118 || 59562 || 64074 || 68650 || 73287 || 77985 || 82739 || 87549 || 92413 || 97328 || 102293 || style="background: lightgreen"|107307 || 112369 || 117476 || 122628 || 127824 || 133062 || 138343 || 143663 || 149023 || 154423 || 159860 || 165334 || 170845 || 176392 || 181974 || 187590 || 193240 || 198924 || 204640 || 210388 || 216168 || 221979 || 227820 || 233692 || 239593 || 245523 || 251482 || 257470
+
| 13305 || 16662 || 20215 || 23947 || 27846 || 31900 || 36099 || 40437 || 44905 || 49498 || 54211 || 59038 || 63975 || 69019 || 74165 || 79410 || 84752 || 90187 || 95713 || 101327 || 107028 || 112812 || 118679 || 124626 || 130651 || 136754 || 142931 || 149182 || 155505 || 161899 || 168363 || 174895 || 181495 || 188160 || 194891 || 201686 || 208543 || 215463 || 222444 || 229485 || 236585 || 243744 || 250961 || 258235 || 265566 || 272952 || 280393 || 287888 || 295436
 
|-
 
|-
 
! 19
 
! 19
−
| 15794 || 19379 || 23102 || 26949 || 30910 || 34975 || 39137 || 43389 || 47727 || 52145 || 56640 || 61206 || 65843 || 70545 || 75311 || 80138 || 85024 || 89966 || 94964 || 100015 || 105117 || 110270 || style="background: lightgreen"|115471 || 120719 || 126014 || 131353 || 136736 || 142162 || 147629 || 153138 || 158686 || 164273 || 169899 || 175562 || 181262 || 186998 || 192769 || 198575 || 204416 || 210290 || 216196 || 222136 || 228107 || 234110 || 240143 || 246207 || 252302 || 258425 || 264578
+
| 13623 || 17061 || 20699 || 24521 || 28513 || 32664 || 36965 || 41406 || 45981 || 50685 || 55510 || 60453 || 65508 || 70673 || 75942 || 81313 || 86783 || 92348 || 98007 || 103756 || 109593 || 115516 || 121523 || 127613 || 133783 || 140031 || 146356 || 152757 || 159232 || 165779 || 172398 || 179087 || 185845 || 192670 || 199562 || 206519 || 213541 || 220627 || 227775 || 234985 || 242255 || 249586 || 256976 || 264424 || 271930 || 279493 || 287113 || 294787 || 302517
 
|-
 
|-
 
! 20
 
! 20
−
| 16222 || 19903 || 23727 || 27678 || 31746 || 35921 || 40196 || 44563 || 49019 || 53556 || 58172 || 62863 || 67624 || 72454 || 77349 || 82306 || 87324 || 92401 || 97534 || 102721 || 107962 || 113254 || 118595 || style="background: lightgreen"|123986 || 129423 || 134907 || 140436 || 146009 || 151624 || 157281 || 162980 || 168718 || 174496 || 180312 || 186167 || 192058 || 197985 || 203949 || 209947 || 215980 || 222046 || 228146 || 234279 || 240444 || 246641 || 252869 || 259128 || 265418 || 271737
+
| 13945 || 17463 || 21187 || 25099 || 29186 || 33435 || 37837 || 42383 || 47066 || 51880 || 56820 || 61879 || 67054 || 72340 || 77734 || 83232 || 88830 || 94527 || 100319 || 106203 || 112178 || 118241 || 124390 || 130623 || 136939 || 143335 || 149809 || 156361 || 162988 || 169690 || 176465 || 183312 || 190229 || 197215 || 204270 || 211391 || 218579 || 225832 || 233148 || 240528 || 247971 || 255474 || 263039 || 270663 || 278346 || 286087 || 293886 || 301742 || 309654
 
|-
 
|-
 
! 21
 
! 21
−
| 16651 || 20431 || 24356 || 28412 || 32587 || 36873 || 41261 || 45744 || 50318 || 54975 || 59714 || 64528 || 69416 || 74374 || 79398 || 84487 || 89638 || 94849 || 100118 || 105443 || 110823 || 116255 || 121738 || 127271 || style="background: lightgreen"|132853 || 138482 || 144157 || 149878 || 155642 || 161449 || 167298 || 173189 || 179120 || 185090 || 191100 || 197147 || 203232 || 209353 || 215510 || 221703 || 227930 || 234192 || 240487 || 246816 || 253177 || 259570 || 265995 || 272451 || 278938
+
| 14268 || 17868 || 21678 || 25681 || 29862 || 34210 || 38713 || 43365 || 48157 || 53083 || 58136 || 63313 || 68608 || 74016 || 79535 || 85160 || 90889 || 96718 || 102644 || 108665 || 114778 || 120982 || 127273 || 133651 || 140112 || 146656 || 153281 || 159984 || 166766 || 173623 || 180555 || 187560 || 194637 || 201786 || 209004 || 216290 || 223644 || 231065 || 238551 || 246102 || 253717 || 261395 || 269134 || 276935 || 284796 || 292717 || 300697 || 308734 || 316830
 
|-
 
|-
 
! 22
 
! 22
−
| 17083 || 20960 || 24987 || 29148 || 33432 || 37829 || 42330 || 46930 || 51622 || 56400 || 61261 || 66201 || 71215 || 76301 || 81456 || 86677 || 91961 || 97308 || 102713 || 108176 || 113695 || 119268 || 124893 || 130570 || style="background: lightgreen"|136296 || 142071 || 147893 || 153762 || 159676 || 165633 || 171634 || 177678 || 183762 || 189887 || 196052 || 202256 || 208499 || 214779 || 221096 || 227449 || 233838 || 240262 || 246720 || 253213 || 259739 || 266297 || 272889 || 279512 || 286167
+
| 14592 || 18274 || 22171 || 26264 || 30540 || 34986 || 39592 || 44350 || 49250 || 54288 || 59457 || 64751 || 70166 || 75697 || 81341 || 87094 || 92953 || 98914 || 104974 || 111132 || 117384 || 123729 || 130163 || 136685 || 143294 || 149986 || 156761 || 163617 || 170552 || 177565 || 184655 || 191819 || 199057 || 206367 || 213749 || 221201 || 228723 || 236312 || 243968 || 251691 || 259478 || 267330 || 275245 || 283223 || 291263 || 299364 || 307524 || 315745 || 324024
 
|-
 
|-
 
! 23
 
! 23
−
| 17515 || 21490 || 25619 || 29886 || 34278 || 38786 || 43402 || 48118 || 52928 || 57827 || 62811 || 67876 || 73017 || 78232 || 83517 || 88870 || 94289 || 99770 || 105312 || 110914 || 116572 || 122286 || 128054 || 133874 || 139745 || style="background: lightgreen"|145666 || 151636 || 157653 || 163716 || 169825 || 175978 || 182174 || 188413 || 194693 || 201014 || 207375 || 213775 || 220214 || 226691 || 233204 || 239755 || 246342 || 252963 || 259620 || 266311 || 273036 || 279795 || 286586 || 293409
+
| 14916 || 18679 || 22662 || 26847 || 31218 || 35763 || 40471 || 45333 || 50343 || 55492 || 60775 || 66187 || 71722 || 77376 || 83146 || 89026 || 95015 || 101108 || 107303 || 113597 || 119988 || 126473 || 133051 || 139718 || 146473 || 153314 || 160239 || 167247 || 174336 || 181504 || 188751 || 196074 || 203473 || 210945 || 218491 || 226108 || 233796 || 241554 || 249380 || 257274 || 265234 || 273260 || 281351 || 289506 || 297724 || 306005 || 314346 || 322749 || 331212
 
|-
 
|-
 
! 24
 
! 24
−
| 17947 || 22020 || 26251 || 30623 || 35123 || 39742 || 44472 || 49304 || 54233 || 59253 || 64360 || 69550 || 74818 || 80161 || 85577 || 91062 || 96614 || 102230 || 107909 || 113648 || 119446 || 125301 || 131211 || 137175 || 143191 || 149258 || style="background: lightgreen"|155375 || 161540 || 167753 || 174012 || 180317 || 186666 || 193058 || 199493 || 205970 || 212488 || 219046 || 225644 || 232280 || 238955 || 245667 || 252416 || 259201 || 266022 || 272878 || 279769 || 286694 || 293652 || 300644
+
| 15238 || 19083 || 23152 || 27427 || 31892 || 36535 || 41345 || 46313 || 51430 || 56691 || 62088 || 67617 || 73271 || 79048 || 84942 || 90949 || 97067 || 103292 || 109621 || 116051 || 122580 || 129205 || 135924 || 142735 || 149636 || 156625 || 163700 || 170859 || 178101 || 185425 || 192828 || 200309 || 207868 || 215502 || 223210 || 230992 || 238846 || 246772 || 254767 || 262831 || 270963 || 279163 || 287428 || 295759 || 304155 || 312614 || 321136 || 329720 || 338366
 
|-
 
|-
 
! 25
 
! 25
−
| 18377 || 22548 || 26880 || 31357 || 35965 || 40695 || 45538 || 50486 || 55533 || 60673 || 65903 || 71217 || 76611 || 82082 || 87628 || 93244 || 98929 || 104680 || 110495 || 116372 || 122309 || 128304 || 134356 || 140463 || 146623 || 152836 || 159099 || style="background: lightgreen"|165412 || 171774 || 178183 || 184639 || 191140 || 197685 || 204275 || 210907 || 217581 || 224296 || 231052 || 237847 || 244682 || 251555 || 258466 || 265413 || 272398 || 279418 || 286474 || 293565 || 300690 || 307849
+
| 15557 || 19482 || 23637 || 28002 || 32560 || 37301 || 42211 || 47283 || 52508 || 57879 || 63389 || 69034 || 74807 || 80704 || 86721 || 92855 || 99101 || 105456 || 111918 || 118483 || 125148 || 131912 || 138772 || 145726 || 152772 || 159907 || 167130 || 174439 || 181833 || 189310 || 196868 || 204506 || 212223 || 220017 || 227887 || 235832 || 243851 || 251942 || 260105 || 268338 || 276641 || 285012 || 293451 || 301957 || 310528 || 319165 || 327865 || 336629 || 345456
 
|-
 
|-
 
! 26
 
! 26
−
| 18804 || 23072 || 27505 || 32085 || 36801 || 41640 || 46596 || 51659 || 56823 || 62083 || 67434 || 72871 || 78391 || 83989 || 89664 || 95411 || 101228 || 107112 || 113063 || 119076 || 125151 || 131285 || 137478 || 143726 || 150030 || 156387 || 162796 || style="background: lightgreen"|169255 || 175765 || 182323 || 188929 || 195581 || 202279 || 209021 || 215807 || 222636 || 229508 || 236420 || 243374 || 250367 || 257400 || 264471 || 271580 || 278727 || 285910 || 293130 || 300386 || 307677 || 315002
+
| 15872 || 19877 || 24116 || 28568 || 33219 || 38056 || 43066 || 48240 || 53571 || 59050 || 64672 || 70431 || 76321 || 82338 || 88477 || 94735 || 101107 || 107591 || 114183 || 120881 || 127682 || 134583 || 141582 || 148676 || 155864 || 163144 || 170513 || 177971 || 185514 || 193142 || 200854 || 208646 || 216519 || 224471 || 232501 || 240607 || 248788 || 257043 || 265371 || 273771 || 282241 || 290782 || 299392 || 308069 || 316814 || 325626 || 334502 || 343444 || 352449
 
|-
 
|-
 
! 27
 
! 27
−
| 19227 || 23590 || 28122 || 32806 || 37627 || 42576 || 47642 || 52819 || 58099 || 63477 || 68948 || 74508 || 80151 || 85875 || 91677 || 97553 || 103501 || 109518 || 115602 || 121750 || 127961 || 134233 || 140565 || 146954 || 153399 || 159898 || 166451 || 173056 || style="background: lightgreen"|179712 || 186417 || 193171 || 199973 || 206821 || 213715 || 220653 || 227636 || 234661 || 241729 || 248839 || 255989 || 263180 || 270410 || 277679 || 284986 || 292331 || 299713 || 307131 || 314586 || 322076
+
| 16181 || 20264 || 24585 || 29125 || 33866 || 38797 || 43904 || 49180 || 54614 || 60200 || 65932 || 71802 || 77807 || 83941 || 90200 || 96579 || 103076 || 109686 || 116407 || 123235 || 130168 || 137203 || 144339 || 151571 || 158899 || 166321 || 173834 || 181436 || 189126 || 196903 || 204764 || 212709 || 220735 || 228842 || 237028 || 245292 || 253632 || 262048 || 270538 || 279101 || 287737 || 296444 || 305221 || 314068 || 322983 || 331966 || 341016 || 350131 || 359312
 
|-
 
|-
 
! 28
 
! 28
−
| 19642 || 24100 || 28730 || 33515 || 38441 || 43496 || 48673 || 53961 || 59356 || 64850 || 70440 || 76119 || 81885 || 87733 || 93660 || 99663 || 105740 || 111887 || 118102 || 124384 || 130729 || 137137 || 143605 || 150133 || 156717 || 163357 || 170052 || 176800 || 183599 || style="background: lightgreen"|190450 || 197350 || 204298 || 211295 || 218338 || 225426 || 232560 || 239737 || 246958 || 254221 || 261527 || 268873 || 276259 || 283685 || 291150 || 298654 || 306196 || 313775 || 321391 || 329043
+
| 16483 || 20642 || 25043 || 29667 || 34497 || 39520 || 44723 || 50096 || 55632 || 61322 || 67160 || 73141 || 79257 || 85505 || 91881 || 98379 || 104997 || 111730 || 118576 || 125532 || 132594 || 139760 || 147029 || 154396 || 161861 || 169420 || 177073 || 184817 || 192651 || 200573 || 208581 || 216673 || 224849 || 233107 || 241445 || 249863 || 258359 || 266931 || 275580 || 284303 || 293099 || 301969 || 310910 || 319921 || 329003 || 338153 || 347371 || 356657 || 366008
 
|-
 
|-
 
! 29
 
! 29
−
| 20050 || 24601 || 29327 || 34211 || 39239 || 44400 || 49683 || 55082 || 60588 || 66197 || 71902 || 77700 || 83585 || 89555 || 95605 || 101733 || 107935 || 114210 || 120554 || 126966 || 133443 || 139984 || 146587 || 153250 || 159971 || 166749 || 173582 || 180470 || 187411 || 194404 || style="background: lightgreen"|201447 || 208540 || 215682 || 222871 || 230107 || 237388 || 244715 || 252085 || 259500 || 266956 || 274455 || 281995 || 289575 || 297195 || 304855 || 312553 || 320289 || 328063 || 335874
+
| 16775 || 21008 || 25488 || 30194 || 35110 || 40221 || 45516 || 50985 || 56619 || 62410 || 68352 || 74438 || 80663 || 87022 || 93511 || 100125 || 106860 || 113713 || 120680 || 127759 || 134947 || 142240 || 149637 || 157135 || 164733 || 172426 || 180215 || 188097 || 196069 || 204132 || 212281 || 220518 || 228839 || 237243 || 245729 || 254296 || 262943 || 271667 || 280469 || 289347 || 298300 || 307327 || 316426 || 325598 || 334840 || 344153 || 353534 || 362985 || 372502
 
|-
 
|-
 
! 30
 
! 30
−
| 20448 || 25089 || 29909 || 34890 || 40018 || 45281 || 50669 || 56175 || 61791 || 67511 || 73329 || 79242 || 85244 || 91332 || 97502 || 103752 || 110078 || 116477 || 122947 || 129486 || 136092 || 142763 || 149497 || 156291 || 163146 || 170059 || 177028 || 184052 || 191131 || 198263 || 205446 || style="background: lightgreen"|212679 || 219963 || 227295 || 234674 || 242100 || 249572 || 257089 || 264651 || 272255 || 279903 || 287592 || 295323 || 303094 || 310906 || 318757 || 326647 || 334575 || 342541
+
| 17057 || 21361 || 25916 || 30701 || 35699 || 40896 || 46280 || 51841 || 57570 || 63458 || 69500 || 75688 || 82018 || 88484 || 95081 || 101806 || 108654 || 115622 || 122707 || 129905 || 137213 || 144629 || 152150 || 159774 || 167499 || 175322 || 183242 || 191255 || 199362 || 207560 || 215846 || 224221 || 232682 || 241227 || 249856 || 258567 || 267359 || 276230 || 285179 || 294206 || 303309 || 312488 || 321740 || 331065 || 340463 || 349932 || 359472 || 369080 || 378758
 
|-
 
|-
 
! 31
 
! 31
−
| 20835 || 25563 || 30474 || 35549 || 40774 || 46137 || 51627 || 57237 || 62959 || 68787 || 74715 || 80739 || 86855 || 93058 || 99345 || 105712 || 112158 || 118678 || 125270 || 131933 || 138664 || 145461 || 152322 || 159245 || 166229 || 173272 || 180373 || 187531 || 194743 || 202009 || 209328 || style="background: lightgreen"|216699 || 224119 || 231590 || 239109 || 246675 || 254288 || 261948 || 269652 || 277400 || 285192 || 293027 || 300904 || 308822 || 316781 || 324781 || 332820 || 340898 || 349014
+
| 17326 || 21698 || 26325 || 31186 || 36263 || 41542 || 47011 || 52660 || 58479 || 64461 || 70598 || 76884 || 83313 || 89881 || 96583 || 103414 || 110370 || 117448 || 124645 || 131956 || 139380 || 146913 || 154553 || 162298 || 170144 || 178091 || 186135 || 194276 || 202511 || 210838 || 219255 || 227762 || 236356 || 245037 || 253802 || 262650 || 271581 || 280592 || 289683 || 298853 || 308099 || 317423 || 326821 || 336294 || 345840 || 355459 || 365149 || 374909 || 384740
 
|-
 
|-
 
! 32
 
! 32
−
| 21208 || 26021 || 31020 || 36186 || 41504 || 46963 || 52551 || 58262 || 64086 || 70018 || 76053 || 82185 || 88411 || 94725 || 101124 || 107606 || 114166 || 120803 || 127514 || 134296 || 141147 || 148066 || 155050 || 162097 || 169206 || 176375 || 183603 || 190889 || 198231 || 205627 || 213077 || 220579 || style="background: lightgreen"|228133 || 235737 || 243391 || 251093 || 258842 || 266639 || 274481 || 282368 || 290300 || 298275 || 306293 || 314353 || 322454 || 330597 || 338780 || 347003 || 355265
+
| 17582 || 22018 || 26713 || 31646 || 36798 || 42155 || 47704 || 53436 || 59341 || 65411 || 71638 || 78017 || 84542 || 91207 || 98007 || 104939 || 111998 || 119180 || 126482 || 133902 || 141435 || 149079 || 156832 || 164691 || 172653 || 180717 || 188880 || 197141 || 205497 || 213946 || 222488 || 231120 || 239841 || 248650 || 257544 || 266523 || 275585 || 284729 || 293955 || 303259 || 312642 || 322103 || 331640 || 341253 || 350939 || 360700 || 370533 || 380437 || 390413
 
|-
 
|-
 
! 33
 
! 33
−
| 21566 || 26461 || 31544 || 36797 || 42205 || 47756 || 53439 || 59245 || 65168 || 71201 || 77338 || 83573 || 89904 || 96324 || 102832 || 109423 || 116094 || 122843 || 129667 || 136564 || 143531 || 150566 || 157668 || 164834 || 172064 || 179354 || 186704 || 194113 || 201578 || 209100 || 216675 || 224304 || 231986 || style="background: lightgreen"|239718 || 247501 || 255333 || 263214 || 271142 || 279116 || 287137 || 295202 || 303312 || 311465 || 319662 || 327900 || 336180 || 344501 || 352863 || 361264
+
| 17822 || 22319 || 27078 || 32078 || 37300 || 42730 || 48356 || 54166 || 60152 || 66304 || 72617 || 79083 || 85696 || 92452 || 99345 || 106372 || 113527 || 120808 || 128210 || 135730 || 143366 || 151115 || 158974 || 166940 || 175011 || 183185 || 191459 || 199833 || 208303 || 216868 || 225527 || 234277 || 243117 || 252046 || 261061 || 270163 || 279349 || 288618 || 297969 || 307401 || 316912 || 326502 || 336169 || 345913 || 355732 || 365626 || 375593 || 385633 || 395744
 
|-
 
|-
 
! 34
 
! 34
−
| 21908 || 26880 || 32044 || 37380 || 42874 || 48512 || 54285 || 60184 || 66201 || 72329 || 78563 || 84897 || 91328 || 97850 || 104461 || 111156 || 117933 || 124789 || 131721 || 138727 || 145805 || 152951 || 160166 || 167445 || 174789 || 182195 || 189662 || 197187 || 204771 || 212412 || 220107 || 227857 || 235661 || 243516 || style="background: lightgreen"|251422 || 259378 || 267383 || 275437 || 283537 || 291685 || 299878 || 308116 || 316399 || 324725 || 333094 || 341505 || 349958 || 358452 || 366987
+
| 18045 || 22598 || 27417 || 32480 || 37768 || 43266 || 48962 || 54845 || 60906 || 67135 || 73527 || 80074 || 86770 || 93611 || 100591 || 107705 || 114950 || 122322 || 129817 || 137432 || 145163 || 153009 || 160966 || 169032 || 177204 || 185481 || 193859 || 202337 || 210914 || 219586 || 228353 || 237213 || 246164 || 255205 || 264333 || 273549 || 282850 || 292235 || 301704 || 311253 || 320884 || 330594 || 340383 || 350248 || 360191 || 370208 || 380300 || 390466 || 400704
 
|-
 
|-
 
! 35
 
! 35
−
| 22231 || 27277 || 32517 || 37932 || 43507 || 49229 || 55087 || 61073 || 67178 || 73397 || 79723 || 86151 || 92677 || 99295 || 106004 || 112798 || 119675 || 126632 || 133667 || 140776 || 147958 || 155210 || 162531 || 169919 || 177371 || 184886 || 192463 || 200100 || 207796 || 215549 || 223359 || 231223 || 239141 || 247112 || 255135 || style="background: lightgreen"|263209 || 271332 || 279505 || 287725 || 295993 || 304307 || 312667 || 321072 || 329521 || 338014 || 346549 || 355127 || 363747 || 372407
+
| 18251 || 22855 || 27729 || 32849 || 38198 || 43758 || 49519 || 55469 || 61599 || 67899 || 74364 || 80985 || 87758 || 94676 || 101736 || 108931 || 116258 || 123714 || 131294 || 138996 || 146816 || 154751 || 162798 || 170956 || 179221 || 187592 || 196066 || 204640 || 213314 || 222086 || 230952 || 239913 || 248966 || 258109 || 267342 || 276663 || 286069 || 295562 || 305138 || 314796 || 324536 || 334357 || 344257 || 354235 || 364290 || 374422 || 384629 || 394910 || 405265
 
|-
 
|-
 
! 36
 
! 36
−
| 22535 || 27650 || 32962 || 38451 || 44102 || 49903 || 55841 || 61909 || 68098 || 74401 || 80814 || 87330 || 93945 || 100654 || 107454 || 114342 || 121313 || 128365 || 135496 || 142703 || 149983 || 157334 || 164755 || 172244 || 179798 || 187416 || 195097 || 202838 || 210639 || 218499 || 226415 || 234387 || 242414 || 250494 || 258627 || 266811 || 275045 || style="background: lightgreen"|283330 || 291663 || 300044 || 308472 || 316946 || 325466 || 334031 || 342639 || 351292 || 359987 || 368724 || 377503
+
| 18437 || 23089 || 28012 || 33185 || 38588 || 44205 || 50025 || 56036 || 62228 || 68593 || 75123 || 81812 || 88654 || 95643 || 102774 || 110043 || 117445 || 124977 || 132635 || 140415 || 148315 || 156331 || 164461 || 172701 || 181051 || 189507 || 198067 || 206730 || 215492 || 224353 || 233310 || 242362 || 251508 || 260745 || 270071 || 279487 || 288990 || 298579 || 308253 || 318010 || 327850 || 337771 || 347772 || 357852 || 368010 || 378245 || 388556 || 398942 || 409403
 
|-
 
|-
 
! 37
 
! 37
−
| 22819 || 27998 || 33377 || 38935 || 44658 || 50531 || 56544 || 62688 || 68955 || 75338 || 81831 || 88429 || 95127 || 101921 || 108807 || 115781 || 122840 || 129981 || 137202 || 144499 || 151871 || 159315 || 166829 || 174412 || 182061 || 189775 || 197553 || 205392 || 213291 || 221249 || 229265 || 237338 || 245465 || 253647 || 261882 || 270169 || 278508 || 286896 || style="background: lightgreen"|295334 || 303821 || 312355 || 320936 || 329563 || 338235 || 346953 || 355714 || 364518 || 373366 || 382255
+
| 18603 || 23297 || 28265 || 33484 || 38936 || 44604 || 50476 || 56541 || 62789 || 69212 || 75801 || 82550 || 89454 || 96506 || 103702 || 111036 || 118505 || 126105 || 133831 || 141682 || 149653 || 157741 || 165944 || 174260 || 182685 || 191217 || 199855 || 208595 || 217437 || 226377 || 235415 || 244549 || 253777 || 263097 || 272508 || 282009 || 291598 || 301273 || 311034 || 320880 || 330808 || 340818 || 350910 || 361080 || 371330 || 381658 || 392062 || 402542 || 413097
 
|-
 
|-
 
! 38
 
! 38
−
| 23081 || 28320 || 33760 || 39383 || 45171 || 51111 || 57193 || 63408 || 69747 || 76203 || 82771 || 89445 || 96220 || 103092 || 110057 || 117111 || 124251 || 131474 || 138778 || 146159 || 153615 || 161145 || 168746 || 176415 || 184153 || 191955 || 199822 || 207751 || 215741 || 223791 || 231899 || 240064 || 248285 || 256561 || 264891 || 273273 || 281707 || 290192 || 298727 || style="background: lightgreen"|307311 || 315943 || 324622 || 333349 || 342121 || 350938 || 359800 || 368706 || 377655 || 386646
+
| 18749 || 23480 || 28486 || 33746 || 39241 || 44953 || 50871 || 56984 || 63281 || 69753 || 76394 || 83197 || 90154 || 97262 || 104513 || 111905 || 119433 || 127092 || 134879 || 142791 || 150824 || 158976 || 167244 || 175624 || 184115 || 192714 || 201419 || 210228 || 219139 || 228150 || 237259 || 246464 || 255764 || 265157 || 274642 || 284217 || 293881 || 303632 || 313469 || 323392 || 333398 || 343487 || 353657 || 363907 || 374237 || 384646 || 395131 || 405694 || 416331
 
|-
 
|-
 
! 39
 
! 39
−
| 23321 || 28614 || 34111 || 39792 || 45640 || 51642 || 57788 || 64067 || 70472 || 76995 || 83631 || 90374 || 97220 || 104163 || 111200 || 118327 || 125542 || 132840 || 140219 || 147677 || 155211 || 162819 || 170499 || 178248 || 186066 || 193949 || 201898 || 209909 || 217982 || 226116 || 234308 || 242558 || 250864 || 259226 || 267642 || 276112 || 284633 || 293207 || 301830 || 310503 || style="background: lightgreen"|319225 || 327995 || 336811 || 345675 || 354584 || 363538 || 372536 || 381578 || 390663
+
| 18873 || 23635 || 28676 || 33970 || 39501 || 45252 || 51209 || 57362 || 63701 || 70216 || 76901 || 83749 || 90753 || 97907 || 105207 || 112648 || 120225 || 127935 || 135774 || 143739 || 151825 || 160031 || 168353 || 176789 || 185337 || 193993 || 202756 || 211623 || 220593 || 229664 || 238833 || 248099 || 257461 || 266917 || 276464 || 286103 || 295831 || 305647 || 315550 || 325538 || 335610 || 345766 || 356004 || 366322 || 376721 || 387198 || 397753 || 408386 || 419094
 
|-
 
|-
 
! 40
 
! 40
−
| 23538 || 28880 || 34428 || 40162 || 46064 || 52122 || 58325 || 64662 || 71127 || 77711 || 84409 || 91215 || 98124 || 105131 || 112234 || 119428 || 126709 || 134075 || 141523 || 149050 || 156654 || 164333 || 172084 || 179905 || 187795 || 195752 || 203775 || 211861 || 220009 || 228218 || 236486 || 244813 || 253196 || 261636 || 270131 || 278679 || 287280 || 295932 || 304636 || 313390 || 322193 || 331044 || style="background: lightgreen"|339943 || 348888 || 357880 || 366917 || 375999 || 385125 || 394295
+
| 18976 || 23764 || 28832 || 34155 || 39716 || 45498 || 51488 || 57675 || 64048 || 70599 || 77320 || 84205 || 91247 || 98440 || 105780 || 113262 || 120880 || 128632 || 136514 || 144522 || 152653 || 160903 || 169271 || 177753 || 186347 || 195050 || 203861 || 212776 || 221795 || 230915 || 240134 || 249451 || 258864 || 268371 || 277971 || 287662 || 297443 || 307312 || 317269 || 327311 || 337439 || 347650 || 357943 || 368318 || 378773 || 389308 || 399921 || 410611 || 421377
 
|-
 
|-
 
! 41
 
! 41
−
| 23731 || 29117 || 34711 || 40492 || 46443 || 52551 || 58804 || 65194 || 71711 || 78350 || 85102 || 91964 || 98930 || 105995 || 113156 || 120409 || 127750 || 135177 || 142686 || 150275 || 157942 || 165683 || 173498 || 181384 || 189339 || 197361 || 205449 || 213602 || 221817 || 230093 || 238430 || 246825 || 255277 || 263786 || 272351 || 280969 || 289641 || 298365 || 307140 || 315965 || 324841 || 333765 || 342737 || style="background: lightgreen"|351756 || 360821 || 369933 || 379090 || 388291 || 397535
+
| 19057 || 23866 || 28955 || 34301 || 39886 || 45693 || 51708 || 57921 || 64322 || 70901 || 77651 || 84565 || 91637 || 98861 || 106232 || 113746 || 121397 || 129182 || 137098 || 145140 || 153305 || 161591 || 169994 || 178513 || 187143 || 195884 || 204732 || 213686 || 222743 || 231902 || 241161 || 250517 || 259970 || 269518 || 279159 || 288891 || 298714 || 308626 || 318625 || 328711 || 338881 || 349136 || 359474 || 369893 || 380393 || 390972 || 401630 || 412366 || 423179
 
|-
 
|-
 
! 42
 
! 42
−
| 23901 || 29326 || 34959 || 40782 || 46775 || 52927 || 59225 || 65660 || 72225 || 78910 || 85712 || 92623 || 99638 || 106754 || 113966 || 121271 || 128665 || 136145 || 143708 || 151351 || 159072 || 166869 || 174740 || 182682 || 190694 || 198774 || 206920 || 215131 || 223405 || 231740 || 240137 || 248592 || 257105 || 265675 || 274300 || 282980 || 291714 || 300500 || 309338 || 318227 || 327166 || 336154 || 345190 || 354274 || 363405 || style="background: lightgreen"|372581 || 381803 || 391070 || 400381
+
| 19117 || 23940 || 29045 || 34409 || 40010 || 45835 || 51870 || 58102 || 64522 || 71122 || 77893 || 84829 || 91923 || 99170 || 106564 || 114101 || 121776 || 129586 || 137526 || 145593 || 153784 || 162095 || 170525 || 179070 || 187727 || 196495 || 205371 || 214353 || 223438 || 232626 || 241913 || 251299 || 260782 || 270359 || 280030 || 289793 || 299646 || 309589 || 319620 || 329737 || 339939 || 350226 || 360595 || 371047 || 381580 || 392192 || 402884 || 413653 || 424499
 
|-
 
|-
 
! 43
 
! 43
−
| 24047 || 29505 || 35173 || 41031 || 47062 || 53251 || 59588 || 66062 || 72667 || 79394 || 86236 || 93190 || 100248 || 107408 || 114664 || 122014 || 129453 || 136978 || 144587 || 152278 || 160046 || 167891 || 175810 || 183801 || 191862 || 199991 || 208187 || 216448 || 224773 || 233159 || 241607 || 250114 || 258679 || 267301 || 275980 || 284713 || 293500 || 302340 || 311232 || 320176 || 329169 || 338212 || 347304 || 356443 || 365629 || 374862 || 384141 || style="background: lightgreen"|393465 || 402833
+
| 19155 || 23988 || 29103 || 34477 || 40090 || 45927 || 51973 || 58218 || 64651 || 71264 || 78048 || 84998 || 92106 || 99367 || 106776 || 114328 || 122019 || 129844 || 137800 || 145883 || 154090 || 162418 || 170865 || 179426 || 188101 || 196887 || 205780 || 214780 || 223884 || 233089 || 242395 || 251800 || 261301 || 270898 || 280588 || 290370 || 300243 || 310206 || 320256 || 330394 || 340616 || 350923 || 361314 || 371786 || 382340 || 392974 || 403686 || 414477 || 425345
 
|-
 
|-
 
! 44
 
! 44
−
| 24170 || 29656 || 35353 || 41241 || 47302 || 53523 || 59892 || 66400 || 73038 || 79800 || 86677 || 93666 || 100761 || 107957 || 115251 || 122638 || 130115 || 137679 || 145327 || 153056 || 160865 || 168750 || 176709 || 184741 || 192843 || 201014 || 209252 || 217555 || 225922 || 234352 || 242842 || 251393 || 260002 || 268668 || 277391 || 286169 || 295001 || 303886 || 312824 || 321813 || 330853 || 339942 || 349080 || 358266 || 367499 || 376779 || 386105 || 395477 || style="background: lightgreen"|404893
+
| 19172 || 24009 || 29129 || 34508 || 40126 || 45968 || 52019 || 58270 || 64709 || 71327 || 78118 || 85074 || 92189 || 99456 || 106872 || 114430 || 122128 || 129960 || 137923 || 146013 || 154228 || 162563 || 171017 || 179587 || 188269 || 197063 || 205964 || 214972 || 224084 || 233298 || 242612 || 252025 || 261535 || 271140 || 280839 || 290630 || 300512 || 310483 || 320543 || 330689 || 340921 || 351237 || 361637 || 372119 || 382682 || 393325 || 404047 || 414848 || 425725
 
|-
 
|-
 
! 45
 
! 45
−
| 24270 || 29779 || 35500 || 41412 || 47498 || 53745 || 60140 || 66675 || 73341 || 80130 || 87036 || 94054 || 101178 || 108404 || 115727 || 123145 || 130653 || 138248 || 145928 || 153690 || 161530 || 169448 || 177440 || 185505 || 193641 || 201846 || 210118 || 218455 || 226857 || 235321 || 243847 || 252433 || 261078 || 269780 || 278539 || 287353 || 296222 || 305144 || 314118 || 323145 || 332222 || 341348 || 350524 || 359748 || 369020 || 378338 || 387703 || 397113 || 406568
+
| 19169 || 24005 || 29124 || 34502 || 40119 || 45960 || 52011 || 58260 || 64698 || 71315 || 78105 || 85060 || 92173 || 99439 || 106854 || 114411 || 122107 || 129938 || 137899 || 145988 || 154202 || 162536 || 170988 || 179556 || 188237 || 197029 || 205929 || 214935 || 224046 || 233258 || 242571 || 251982 || 261491 || 271094 || 280791 || 290581 || 300461 || 310431 || 320488 || 330633 || 340863 || 351178 || 361575 || 372056 || 382617 || 393258 || 403979 || 414777 || 425653
 
|-
 
|-
 
! 46
 
! 46
−
| 24348 || 29874 || 35613 || 41544 || 47650 || 53916 || 60333 || 66888 || 73575 || 80386 || 87314 || 94354 || 101501 || 108750 || 116097 || 123539 || 131071 || 138690 || 146395 || 154181 || 162047 || 169990 || 178007 || 186098 || 194260 || 202491 || 210789 || 219154 || 227582 || 236074 || 244627 || 253240 || 261912 || 270642 || 279429 || 288272 || 297169 || 306119 || 315123 || 324178 || 333284 || 342440 || 351645 || 360898 || 370200 || 379548 || 388942 || 398383 || 407868
+
| 19146 || 23977 || 29090 || 34461 || 40071 || 45905 || 51948 || 58190 || 64620 || 71230 || 78012 || 84958 || 92063 || 99321 || 106726 || 114274 || 121961 || 129783 || 137735 || 145814 || 154017 || 162342 || 170784 || 179342 || 188013 || 196794 || 205683 || 214679 || 223778 || 232980 || 242281 || 251682 || 261178 || 270771 || 280456 || 290234 || 300102 || 310060 || 320106 || 330238 || 340456 || 350758 || 361144 || 371612 || 382160 || 392789 || 403497 || 414282 || 425145
 
|-
 
|-
 
! 47
 
! 47
−
| 24404 || 29942 || 35695 || 41639 || 47759 || 54040 || 60471 || 67042 || 73744 || 80570 || 87515 || 94571 || 101734 || 109000 || 116364 || 123822 || 131371 || 139009 || 146731 || 154535 || 162418 || 170380 || 178416 || 186525 || 194706 || 202955 || 211273 || 219656 || 228104 || 236615 || 245188 || 253821 || 262513 || 271263 || 280070 || 288933 || 297851 || 306822 || 315846 || 324921 || 334048 || 343225 || 352452 || 361726 || 371049 || 380419 || 389835 || 399297 || 408804
+
| 19104 || 23924 || 29026 || 34386 || 39984 || 45805 || 51835 || 58064 || 64480 || 71075 || 77842 || 84773 || 91863 || 99105 || 106494 || 114026 || 121696 || 129500 || 137435 || 145497 || 153682 || 161989 || 170413 || 178952 || 187604 || 196366 || 205236 || 214212 || 223291 || 232473 || 241754 || 251134 || 260610 || 270182 || 279846 || 289603 || 299449 || 309386 || 319409 || 329520 || 339716 || 349995 || 360358 || 370803 || 381329 || 391934 || 402619 || 413381 || 424220
 
|}
 
|}
 
* Highlighted cells are the land size at which the expected land multiplier is equal to 1 (closest to base DP formula)
 
* Highlighted cells are the land size at which the expected land multiplier is equal to 1 (closest to base DP formula)
 
</div>
 
</div>

Latest revision as of 14:38, 20 October 2023

Non-Player Dominions or bots are randomly generated dominions that are spawned prior to OOP to facilitate attacking since inactive dominions are virtually non-existent after adding Click-Through Protection (CTP). Since Round 23, about half of them will automatically train and explore land.

Land Size[edit]

NPDs are located in Realm 0 'The Graveyard' along with inactive dominions that have not left protection. NPDs spawn at a human to bot ratio of 2:1.

NPD Distribution
Land Size Percentage of NPDs
526-600 20%
525 15%
400-524 65%

Defense[edit]

NPDs spawn with defense based on this formula 45.8 * exp(0.0075 * [Total Land]) up to 525 acres and this formula 710 * exp(0.003 * [Total Land]) above 525 acres, multiplied by a random factor. The random factor for ~85% of NPDs is +/- 10%, but for the remaining ~15% it is +15-20%. Dominions on the lower end of the spectrum will spawn with a random amount of offensive specialists to mask the increased networth of those on the higher end. Every NPD will have an additional 1000-1700 defense incoming during the first 12 hours. The larger dominions are more likely to have Guard Towers, but none of them have walls until later in the round (so no need to castle spy at OOP). Prior to Round 30, NPDs greater than 525 acres had their defense greatly increased to prevent them from being easy targets OOP.

NPD Defense
Land Size Base Defense Low Range (85%) High Range (15%)
400 920 874-966 1058-1104
425 1110 1055-1166 1277-1332
450 1338 1271-1405 1539-1606
475 1615 1534-1696 1857-1938
500 1947 1850-2044 2239-2336
525 2349 2232-2466 2701-2819
550 3697 3327-4067 4252-4436
575 3985 3587-4384 4583-4782
600 4295 3866-4725 4939-5154

Behavior[edit]

All NPDs will actively perform automated actions and grow toward a predetermined size between 400 and 4800 acres. Each NPD has around a 1 in 3 chance of 'logging in' each hour. They will build barren acres, cast spells, train defense, train spies/wizards to a 0.05 ratio, invest, and explore (no sooner than 12 hours after OOP). They will cast their spells any time they drop below 4 hours remaining, therefore it is rare that they drop off, but not impossible. If they recast, it is around 30 minutes into the hour. Each NPD is limited to exploring 15 acres in a single hour and can explore if they have less than 90 acres incoming when they take their actions. As such, they can have between 90 and 104 acres incoming at any time. NPDs will train defense up to the following formulas.

Post-OOP DP Formula[edit]

(0.039 * [DaysAsFraction]^4) - (0.45 * [DaysAsFraction]^3) + (12.3 * [DaysAsFraction]^2) + (5950 * [DaysAsFraction]) - 19400

Expected Land Size[edit]

(0.063 * [DaysAsFraction]^3) - (4.8 * [DaysAsFraction]^2) + (181 * [DaysAsFraction]) - 116

Final DP By Land[edit]

[DP Formula] * (([Expected Land Size] / [Land])^-1.375)

Base Defense by Day/Land
Day/Land 450 530 610 690 770 850 930 1010 1090 1170 1250 1330 1410 1490 1570 1650 1730 1810 1890 1970 2050 2130 2210 2290 2370 2450 2530 2610 2690 2770 2850 2930 3010 3090 3170 3250 3330 3410 3490 3570 3650 3730 3810 3890 3970 4050 4130 4210 4290
1 3607 4517 5480 6492 7548 8647 9786 10962 12173 13418 14695 16004 17342 18709 20104 21526 22974 24448 25946 27468 29013 30581 32171 33783 35417 37071 38745 40440 42154 43887 45639 47410 49199 51006 52831 54672 56531 58407 60300 62208 64133 66074 68030 70002 71989 73991 76008 78040 80086
2 6061 7591 9209 10910 12686 14533 16446 18422 20458 22551 24698 26897 29146 31444 33788 36178 38612 41088 43605 46163 48760 51396 54069 56778 59523 62303 65117 67965 70846 73759 76704 79680 82686 85723 88790 91885 95009 98162 101342 104550 107785 111047 114334 117648 120988 124353 127743 131158 134597
3 7431 9305 11290 13374 15552 17816 20161 22584 25079 27645 30276 32972 35730 38547 41421 44350 47333 50369 53455 56591 59774 63005 66282 69603 72968 76376 79826 83317 86849 90420 94030 97678 101364 105086 108845 112640 116470 120335 124234 128166 132132 136130 140161 144223 148317 152442 156598 160784 165000
4 8309 10405 12624 14955 17390 19922 22545 25253 28044 30913 33856 36870 39954 43103 46317 49593 52929 56323 59774 63281 66841 70453 74117 77831 81594 85405 89263 93167 97116 101109 105146 109225 113347 117509 121713 125956 130239 134560 138920 143317 147752 152223 156730 161273 165850 170463 175110 179791 184505
5 8937 11192 13578 16085 18704 21427 24248 27161 30163 33248 36414 39656 42972 46360 49817 53340 56928 60579 64290 68062 71891 75776 79717 83712 87759 91858 96007 100206 104453 108748 113090 117477 121910 126388 130909 135473 140079 144727 149416 154145 158915 163724 168571 173457 178381 183342 188340 193375 198445
6 9426 11804 14322 16966 19728 22600 25576 28649 31815 35069 38408 41828 45326 48899 52545 56261 60045 63896 67811 71789 75828 79926 84083 88296 92565 96888 101265 105693 110173 114703 119283 123911 128587 133309 138078 142891 147750 152652 157598 162587 167617 172690 177803 182956 188150 193383 198654 203964 209313
7 9835 12317 14943 17703 20585 23582 26686 29893 33196 36591 40075 43643 47293 51021 54826 58703 62652 66670 70755 74905 79120 83396 87733 92129 96583 101094 105661 110282 114956 119683 124461 129290 134169 139096 144072 149094 154164 159279 164440 169645 174894 180186 185521 190899 196317 201777 207278 212819 218399
8 10197 12770 15493 18353 21341 24448 27667 30991 34416 37936 41548 45247 49031 52897 56841 60861 64955 69120 73355 77658 82027 86461 90957 95515 100133 104810 109544 114335 119181 124082 129036 134042 139100 144208 149367 154574 159830 165133 170484 175880 181322 186809 192340 197915 203533 209194 214896 220641 226426
9 10530 13187 15999 18953 22038 25247 28570 32003 35540 39175 42905 46725 50632 54624 58697 62848 67076 71377 75751 80194 84706 89284 93927 98634 103403 108232 113121 118068 123073 128133 133249 138419 143642 148918 154244 159622 165049 170526 176051 181623 187243 192909 198621 204378 210179 216025 221914 227846 233820
10 10846 13583 16479 19522 22700 26005 29429 32965 36607 40352 44194 48129 52154 56265 60460 64736 69091 73522 78027 82604 87251 91967 96749 101597 106509 111484 116520 121615 126770 131983 137252 142577 147957 153391 158878 164417 170008 175649 181340 187080 192868 198704 204588 210518 216493 222515 228581 234691 240844
11 11153 13968 16946 20075 23343 26742 30262 33899 37644 41495 45446 49492 53631 57859 62173 66570 71048 75605 80237 84944 89722 94572 99490 104475 109526 114642 119820 125061 130361 135722 141140 146616 152149 157737 163379 169075 174824 180625 186477 192379 198332 204333 210383 216481 222626 228818 235056 241339 247667
12 11456 14347 17407 20621 23978 27468 31085 34820 38667 42623 46680 50837 55088 59431 63862 68379 72979 77659 82417 87252 92161 97142 102193 107314 112503 117757 123076 128459 133904 139410 144976 150601 156283 162023 167819 173669 179574 185533 191544 197607 203721 209886 216100 222364 228676 235036 241443 247897 254397
13 11759 14725 17866 21164 24610 28193 31905 35738 39687 43747 47912 52178 56541 60999 65547 70183 74903 79707 84591 89553 94591 99704 104889 110144 115470 120863 126322 131847 137435 143086 148799 154572 160405 166296 172244 178249 184310 190426 196596 202818 209094 215421 221799 228228 234707 241234 247811 254435 261106
14 12062 15105 18326 21710 25245 28920 32727 36660 40711 44875 49147 53523 57999 62572 67237 71993 76835 81763 86773 91863 97031 102275 107594 112985 118448 123980 129580 135247 140980 146777 152637 158559 164542 170585 176687 182847 189064 195337 201666 208049 214487 220977 227520 234115 240760 247456 254202 260997 267841
15 12368 15488 18791 22261 25885 29653 33557 37589 41743 46012 50393 54880 59470 64158 68941 73817 78783 83835 88972 94191 99490 104867 110321 115849 121450 127122 132865 138675 144553 150497 156506 162578 168712 174909 181165 187481 193856 200288 206777 213323 219923 226578 233287 240048 246863 253728 260645 267612 274629
16 12676 15875 19260 22817 26531 30394 34395 38528 42785 47161 51652 56251 60955 65760 70663 75661 80750 85929 91194 96543 101975 107486 113076 118742 124483 130297 136183 142139 148163 154256 160414 166638 172926 179277 185690 192164 198698 205291 211942 218651 225416 232237 239113 246044 253028 260065 267155 274296 281488
17 12989 16266 19735 23379 27185 31143 35243 39477 43839 48324 52924 57637 62457 67381 72404 77525 82740 88046 93441 98922 104488 110135 115862 121668 127551 133508 139538 145641 151814 158057 164367 170744 177187 183695 190265 196899 203594 210349 217164 224038 230970 237959 245005 252106 259263 266473 273738 281055 288424
18 13305 16662 20215 23947 27846 31900 36099 40437 44905 49498 54211 59038 63975 69019 74165 79410 84752 90187 95713 101327 107028 112812 118679 124626 130651 136754 142931 149182 155505 161899 168363 174895 181495 188160 194891 201686 208543 215463 222444 229485 236585 243744 250961 258235 265566 272952 280393 287888 295436
19 13623 17061 20699 24521 28513 32664 36965 41406 45981 50685 55510 60453 65508 70673 75942 81313 86783 92348 98007 103756 109593 115516 121523 127613 133783 140031 146356 152757 159232 165779 172398 179087 185845 192670 199562 206519 213541 220627 227775 234985 242255 249586 256976 264424 271930 279493 287113 294787 302517
20 13945 17463 21187 25099 29186 33435 37837 42383 47066 51880 56820 61879 67054 72340 77734 83232 88830 94527 100319 106203 112178 118241 124390 130623 136939 143335 149809 156361 162988 169690 176465 183312 190229 197215 204270 211391 218579 225832 233148 240528 247971 255474 263039 270663 278346 286087 293886 301742 309654
21 14268 17868 21678 25681 29862 34210 38713 43365 48157 53083 58136 63313 68608 74016 79535 85160 90889 96718 102644 108665 114778 120982 127273 133651 140112 146656 153281 159984 166766 173623 180555 187560 194637 201786 209004 216290 223644 231065 238551 246102 253717 261395 269134 276935 284796 292717 300697 308734 316830
22 14592 18274 22171 26264 30540 34986 39592 44350 49250 54288 59457 64751 70166 75697 81341 87094 92953 98914 104974 111132 117384 123729 130163 136685 143294 149986 156761 163617 170552 177565 184655 191819 199057 206367 213749 221201 228723 236312 243968 251691 259478 267330 275245 283223 291263 299364 307524 315745 324024
23 14916 18679 22662 26847 31218 35763 40471 45333 50343 55492 60775 66187 71722 77376 83146 89026 95015 101108 107303 113597 119988 126473 133051 139718 146473 153314 160239 167247 174336 181504 188751 196074 203473 210945 218491 226108 233796 241554 249380 257274 265234 273260 281351 289506 297724 306005 314346 322749 331212
24 15238 19083 23152 27427 31892 36535 41345 46313 51430 56691 62088 67617 73271 79048 84942 90949 97067 103292 109621 116051 122580 129205 135924 142735 149636 156625 163700 170859 178101 185425 192828 200309 207868 215502 223210 230992 238846 246772 254767 262831 270963 279163 287428 295759 304155 312614 321136 329720 338366
25 15557 19482 23637 28002 32560 37301 42211 47283 52508 57879 63389 69034 74807 80704 86721 92855 99101 105456 111918 118483 125148 131912 138772 145726 152772 159907 167130 174439 181833 189310 196868 204506 212223 220017 227887 235832 243851 251942 260105 268338 276641 285012 293451 301957 310528 319165 327865 336629 345456
26 15872 19877 24116 28568 33219 38056 43066 48240 53571 59050 64672 70431 76321 82338 88477 94735 101107 107591 114183 120881 127682 134583 141582 148676 155864 163144 170513 177971 185514 193142 200854 208646 216519 224471 232501 240607 248788 257043 265371 273771 282241 290782 299392 308069 316814 325626 334502 343444 352449
27 16181 20264 24585 29125 33866 38797 43904 49180 54614 60200 65932 71802 77807 83941 90200 96579 103076 109686 116407 123235 130168 137203 144339 151571 158899 166321 173834 181436 189126 196903 204764 212709 220735 228842 237028 245292 253632 262048 270538 279101 287737 296444 305221 314068 322983 331966 341016 350131 359312
28 16483 20642 25043 29667 34497 39520 44723 50096 55632 61322 67160 73141 79257 85505 91881 98379 104997 111730 118576 125532 132594 139760 147029 154396 161861 169420 177073 184817 192651 200573 208581 216673 224849 233107 241445 249863 258359 266931 275580 284303 293099 301969 310910 319921 329003 338153 347371 356657 366008
29 16775 21008 25488 30194 35110 40221 45516 50985 56619 62410 68352 74438 80663 87022 93511 100125 106860 113713 120680 127759 134947 142240 149637 157135 164733 172426 180215 188097 196069 204132 212281 220518 228839 237243 245729 254296 262943 271667 280469 289347 298300 307327 316426 325598 334840 344153 353534 362985 372502
30 17057 21361 25916 30701 35699 40896 46280 51841 57570 63458 69500 75688 82018 88484 95081 101806 108654 115622 122707 129905 137213 144629 152150 159774 167499 175322 183242 191255 199362 207560 215846 224221 232682 241227 249856 258567 267359 276230 285179 294206 303309 312488 321740 331065 340463 349932 359472 369080 378758
31 17326 21698 26325 31186 36263 41542 47011 52660 58479 64461 70598 76884 83313 89881 96583 103414 110370 117448 124645 131956 139380 146913 154553 162298 170144 178091 186135 194276 202511 210838 219255 227762 236356 245037 253802 262650 271581 280592 289683 298853 308099 317423 326821 336294 345840 355459 365149 374909 384740
32 17582 22018 26713 31646 36798 42155 47704 53436 59341 65411 71638 78017 84542 91207 98007 104939 111998 119180 126482 133902 141435 149079 156832 164691 172653 180717 188880 197141 205497 213946 222488 231120 239841 248650 257544 266523 275585 284729 293955 303259 312642 322103 331640 341253 350939 360700 370533 380437 390413
33 17822 22319 27078 32078 37300 42730 48356 54166 60152 66304 72617 79083 85696 92452 99345 106372 113527 120808 128210 135730 143366 151115 158974 166940 175011 183185 191459 199833 208303 216868 225527 234277 243117 252046 261061 270163 279349 288618 297969 307401 316912 326502 336169 345913 355732 365626 375593 385633 395744
34 18045 22598 27417 32480 37768 43266 48962 54845 60906 67135 73527 80074 86770 93611 100591 107705 114950 122322 129817 137432 145163 153009 160966 169032 177204 185481 193859 202337 210914 219586 228353 237213 246164 255205 264333 273549 282850 292235 301704 311253 320884 330594 340383 350248 360191 370208 380300 390466 400704
35 18251 22855 27729 32849 38198 43758 49519 55469 61599 67899 74364 80985 87758 94676 101736 108931 116258 123714 131294 138996 146816 154751 162798 170956 179221 187592 196066 204640 213314 222086 230952 239913 248966 258109 267342 276663 286069 295562 305138 314796 324536 334357 344257 354235 364290 374422 384629 394910 405265
36 18437 23089 28012 33185 38588 44205 50025 56036 62228 68593 75123 81812 88654 95643 102774 110043 117445 124977 132635 140415 148315 156331 164461 172701 181051 189507 198067 206730 215492 224353 233310 242362 251508 260745 270071 279487 288990 298579 308253 318010 327850 337771 347772 357852 368010 378245 388556 398942 409403
37 18603 23297 28265 33484 38936 44604 50476 56541 62789 69212 75801 82550 89454 96506 103702 111036 118505 126105 133831 141682 149653 157741 165944 174260 182685 191217 199855 208595 217437 226377 235415 244549 253777 263097 272508 282009 291598 301273 311034 320880 330808 340818 350910 361080 371330 381658 392062 402542 413097
38 18749 23480 28486 33746 39241 44953 50871 56984 63281 69753 76394 83197 90154 97262 104513 111905 119433 127092 134879 142791 150824 158976 167244 175624 184115 192714 201419 210228 219139 228150 237259 246464 255764 265157 274642 284217 293881 303632 313469 323392 333398 343487 353657 363907 374237 384646 395131 405694 416331
39 18873 23635 28676 33970 39501 45252 51209 57362 63701 70216 76901 83749 90753 97907 105207 112648 120225 127935 135774 143739 151825 160031 168353 176789 185337 193993 202756 211623 220593 229664 238833 248099 257461 266917 276464 286103 295831 305647 315550 325538 335610 345766 356004 366322 376721 387198 397753 408386 419094
40 18976 23764 28832 34155 39716 45498 51488 57675 64048 70599 77320 84205 91247 98440 105780 113262 120880 128632 136514 144522 152653 160903 169271 177753 186347 195050 203861 212776 221795 230915 240134 249451 258864 268371 277971 287662 297443 307312 317269 327311 337439 347650 357943 368318 378773 389308 399921 410611 421377
41 19057 23866 28955 34301 39886 45693 51708 57921 64322 70901 77651 84565 91637 98861 106232 113746 121397 129182 137098 145140 153305 161591 169994 178513 187143 195884 204732 213686 222743 231902 241161 250517 259970 269518 279159 288891 298714 308626 318625 328711 338881 349136 359474 369893 380393 390972 401630 412366 423179
42 19117 23940 29045 34409 40010 45835 51870 58102 64522 71122 77893 84829 91923 99170 106564 114101 121776 129586 137526 145593 153784 162095 170525 179070 187727 196495 205371 214353 223438 232626 241913 251299 260782 270359 280030 289793 299646 309589 319620 329737 339939 350226 360595 371047 381580 392192 402884 413653 424499
43 19155 23988 29103 34477 40090 45927 51973 58218 64651 71264 78048 84998 92106 99367 106776 114328 122019 129844 137800 145883 154090 162418 170865 179426 188101 196887 205780 214780 223884 233089 242395 251800 261301 270898 280588 290370 300243 310206 320256 330394 340616 350923 361314 371786 382340 392974 403686 414477 425345
44 19172 24009 29129 34508 40126 45968 52019 58270 64709 71327 78118 85074 92189 99456 106872 114430 122128 129960 137923 146013 154228 162563 171017 179587 188269 197063 205964 214972 224084 233298 242612 252025 261535 271140 280839 290630 300512 310483 320543 330689 340921 351237 361637 372119 382682 393325 404047 414848 425725
45 19169 24005 29124 34502 40119 45960 52011 58260 64698 71315 78105 85060 92173 99439 106854 114411 122107 129938 137899 145988 154202 162536 170988 179556 188237 197029 205929 214935 224046 233258 242571 251982 261491 271094 280791 290581 300461 310431 320488 330633 340863 351178 361575 372056 382617 393258 403979 414777 425653
46 19146 23977 29090 34461 40071 45905 51948 58190 64620 71230 78012 84958 92063 99321 106726 114274 121961 129783 137735 145814 154017 162342 170784 179342 188013 196794 205683 214679 223778 232980 242281 251682 261178 270771 280456 290234 300102 310060 320106 330238 340456 350758 361144 371612 382160 392789 403497 414282 425145
47 19104 23924 29026 34386 39984 45805 51835 58064 64480 71075 77842 84773 91863 99105 106494 114026 121696 129500 137435 145497 153682 161989 170413 178952 187604 196366 205236 214212 223291 232473 241754 251134 260610 270182 279846 289603 299449 309386 319409 329520 339716 349995 360358 370803 381329 391934 402619 413381 424220
  • Highlighted cells are the land size at which the expected land multiplier is equal to 1 (closest to base DP formula)
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