Difference between revisions of "NPDs"
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− | '''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 land. | + | '''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== | ==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 | + | 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. |
{| 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 || 15% |
|- | |- | ||
− | | 400- | + | | 400-524 || 65% |
|} | |} | ||
==Defense== | ==Defense== | ||
− | NPDs spawn with defense based on this formula <code> | + | 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 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. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ NPD Defense | |+ NPD Defense | ||
|- | |- | ||
− | ! Land Size !! Base Defense !! Low Range !! High Range | + | ! Land Size !! Base Defense !! Low Range (85%) !! High Range (15%) |
|- | |- | ||
− | | 400 || | + | | 400 || 920 || 874-966 || 1058-1104 |
|- | |- | ||
− | | 425 || | + | | 425 || 1110 || 1055-1166 || 1277-1332 |
|- | |- | ||
− | | 450 || | + | | 450 || 1338 || 1271-1405 || 1539-1606 |
|- | |- | ||
− | | 475 || | + | | 475 || 1615 || 1534-1696 || 1857-1938 |
|- | |- | ||
− | | 500 || | + | | 500 || 1947 || 1850-2044 || 2239-2336 |
|- | |- | ||
− | | 525 || | + | | 525 || 2349 || 2232-2466 || 2701-2819 |
|- | |- | ||
− | | 550 || | + | | 550 || 3697 || 3327-4067 || 4252-4436 |
|- | |- | ||
− | | 575 || | + | | 575 || 3985 || 3587-4384 || 4583-4782 |
|- | |- | ||
− | | 600 || | + | | 600 || 4295 || 3866-4725 || 4939-5154 |
|} | |} | ||
+ | |||
+ | ==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. | ||
+ | ====Post-OOP DP Formula==== | ||
+ | <code>(0.039 * [DaysAsFraction]^4) - (0.45 * [DaysAsFraction]^3) + (12.3 * [DaysAsFraction]^2) + (5950 * [DaysAsFraction]) - 19400</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;"> | ||
+ | {| class="wikitable" | ||
+ | |+ 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> |
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.
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.
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)
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)