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==Land Size==
 
==Land Size==
−
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.
+
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 ~1.74:1.
 
{| class="wikitable"
 
{| class="wikitable"
 
|+ NPD Distribution
 
|+ NPD Distribution
Line 8: Line 8:
 
! Land Size !! Percentage of NPDs
 
! Land Size !! Percentage of NPDs
 
|-
 
|-
−
| 526-600 || 20%
+
| 525-600 || 30%
 
|-
 
|-
−
| 525 || 15%
+
| 451-525 || 50%
 
|-
 
|-
−
| 400-524 || 65%
+
| 400-450 || 20%
 
|}
 
|}
  
 
==Defense==
 
==Defense==
−
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.
+
NPDs spawn with defense based on this formula <code>120 * exp(0.0058 * [Total Land])</code> 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 1000-1700 defense incoming during the first 12 hours.
+
Every NPD will have an additional 20-35% 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.
 
 
{| class="wikitable"
 
{| class="wikitable"
 
|+ NPD Defense
 
|+ NPD Defense
Line 26: Line 24:
 
! Land Size !! Base Defense !! Low Range (85%) !! High Range (15%)
 
! Land Size !! Base Defense !! Low Range (85%) !! High Range (15%)
 
|-
 
|-
−
| 400 || 920 || 874-966 || 1058-1104
+
| 400 || 1221 || 1099-1343 || 1404-1465
 
|-
 
|-
−
| 425 || 1110 || 1055-1166 || 1277-1332
+
| 425 || 1412 || 1271-1553 || 1624-1694
 
|-
 
|-
−
| 450 || 1338 || 1271-1405 || 1539-1606
+
| 450 || 1632 || 1469-1795 || 1877-1958
 
|-
 
|-
−
| 475 || 1615 || 1534-1696 || 1857-1938
+
| 475 || 1887 || 1698-2076 || 2170-2264
 
|-
 
|-
−
| 500 || 1947 || 1850-2044 || 2239-2336
+
| 500 || 2181 || 1963-2399 || 2508-2617
 
|-
 
|-
−
| 525 || 2349 || 2232-2466 || 2701-2819
+
| 525 || 2521 || 2269-2773 || 2899-3025
 
|-
 
|-
−
| 550 || 3697 || 3327-4067 || 4252-4436
+
| 550 || 2915 || 2624-3207 || 3352-3498
 
|-
 
|-
−
| 575 || 3985 || 3587-4384 || 4583-4782
+
| 575 || 3369 || 3032-3706 || 3874-4043
 
|-
 
|-
−
| 600 || 4295 || 3866-4725 || 4939-5154
+
| 600 || 3895 || 3506-4285 || 4479-4674
 
|}
 
|}
  
 
==Behavior==
 
==Behavior==
−
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.
+
On average, 50% of NPDs will begin to perform actions starting a few hours after OOP. Those that are inactive will remain inactive for the duration of the round. Each has a 1/3 chance of 'logging in' each hour. They will build barren acres, cast spells, train defense, train spies/wizards to a 0.05 ratio, and explore. 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 within the first minute or so of the hour. Each NPD is limited to exploring 18 acres in a single hour and between 72-89 over a twelve hour period. NPDs will train defense up to the following formula, which is then increased by 2% each time they are successfully invaded.
−
====Post-OOP DP Formula====
+
====Post-OOP DPA Formula====
−
<code>(0.039 * [DaysAsFraction]^4) - (0.45 * [DaysAsFraction]^3) + (12.3 * [DaysAsFraction]^2) + (5950 * [DaysAsFraction]) - 19400</code>
+
<code>(-0.0181 * [DaysAsFraction]^2)) + (2.5797 * [DaysAsFraction]) - 4.1725</code>
−
====Expected Land Size====
 
−
<code>(0.063 * [DaysAsFraction]^3) - (4.8 * [DaysAsFraction]^2) + (181 * [DaysAsFraction]) - 116</code>
 
−
====Final DP By Land====
 
−
<code>[DP Formula] * (([Expected Land Size] / [Land])^-1.375)</code>
 
  
−
<div style="overflow: auto;">
+
====Additional DPA to phase out over first 10 days====
−
{| class="wikitable"
+
<code>max(0, 5 - [DaysAsFraction]/2)</code>
−
|+ 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)
 
−
</div>
 

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