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 ~1.74:1.
+
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 2:1.
 
{| class="wikitable"
 
{| class="wikitable"
 
|+ NPD Distribution
 
|+ NPD Distribution
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 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 || 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
 
|}
 
|}
 +
 +
==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] * 0.95 * (([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
 +
| 3428 || style="background: lightgreen"|4293 || 5209 || 6171 || 7175 || 8220 || 9302 || 10420 || 11571 || 12755 || 13969 || 15213 || 16485 || 17785 || 19111 || 20462 || 21839 || 23239 || 24663 || 26110 || 27579 || 29069 || 30581 || 32113 || 33666 || 35238 || 36830 || 38441 || 40070 || 41718 || 43383 || 45067 || 46767 || 48485 || 50219 || 51970 || 53737 || 55520 || 57319 || 59133 || 60963 || 62807 || 64667 || 66541 || 68430 || 70333 || 72251 || 74182 || 76127
 +
|-
 +
! 2
 +
| 5758 || 7211 || 8749 || style="background: lightgreen"|10364 || 12052 || 13806 || 15624 || 17501 || 19435 || 21423 || 23463 || 25552 || 27689 || 29872 || 32099 || 34369 || 36681 || 39033 || 41425 || 43855 || 46322 || 48826 || 51365 || 53939 || 56547 || 59188 || 61861 || 64567 || 67304 || 70071 || 72869 || 75696 || 78552 || 81437 || 84350 || 87291 || 90259 || 93254 || 96275 || 99323 || 102396 || 105494 || 108618 || 111766 || 114939 || 118135 || 121356 || 124600 || 127867
 +
|-
 +
! 3
 +
| 7059 || 8840 || 10725 || 12706 || 14774 || 16925 || 19153 || 21455 || 23825 || 26262 || 28763 || 31324 || 33943 || 36619 || 39350 || 42133 || 44967 || 47850 || 50782 || 53761 || 56786 || 59855 || 62968 || 66123 || 69320 || 72557 || 75835 || 79151 || 82506 || 85899 || 89328 || 92794 || 96296 || 99832 || 103403 || 107008 || 110647 || 114318 || 118022 || 121758 || 125525 || 129323 || 133153 || 137012 || 140901 || 144820 || 148768 || 152744 || 156750
 +
|-
 +
! 4
 +
| 7894 || 9885 || 11993 || 14208 || 16521 || 18926 || style="background: lightgreen"|21417 || 23991 || 26642 || 29367 || 32163 || 35027 || 37956 || 40948 || 44001 || 47113 || 50282 || 53507 || 56786 || 60117 || 63499 || 66931 || 70411 || 73940 || 77514 || 81135 || 84800 || 88508 || 92260 || 96053 || 99888 || 103764 || 107679 || 111634 || 115627 || 119658 || 123727 || 127832 || 131974 || 136151 || 140364 || 144612 || 148893 || 153209 || 157558 || 161940 || 166355 || 170801 || 175280
 +
|-
 +
! 5
 +
| 8490 || 10632 || 12899 || 15281 || 17769 || 20356 || 23036 || 25803 || 28655 || 31586 || 34593 || 37673 || 40824 || 44042 || 47326 || 50673 || 54081 || 57550 || 61076 || 64659 || 68296 || 71988 || 75731 || 79526 || 83371 || 87265 || 91207 || 95195 || 99230 || 103311 || 107435 || 111604 || 115815 || 120068 || 124363 || 128699 || 133075 || 137490 || 141945 || 146438 || 150969 || 155537 || 160143 || 164784 || 169462 || 174175 || 178923 || 183706 || 188523
 +
|-
 +
! 6
 +
| 8955 || 11214 || 13606 || 16118 || 18742 || 21470 || 24297 || 27216 || 30224 || style="background: lightgreen"|33315 || 36487 || 39736 || 43059 || 46454 || 49917 || 53448 || 57043 || 60701 || 64421 || 68199 || 72036 || 75930 || 79878 || 83881 || 87936 || 92044 || 96201 || 100409 || 104665 || 108968 || 113319 || 117715 || 122157 || 126644 || 131174 || 135747 || 140362 || 145020 || 149718 || 154457 || 159237 || 164055 || 168913 || 173808 || 178742 || 183713 || 188722 || 193766 || 198847
 +
|-
 +
! 7
 +
| 9344 || 11701 || 14196 || 16818 || 19556 || 22403 || 25352 || 28398 || 31536 || 34762 || style="background: lightgreen"|38071 || 41461 || 44928 || 48470 || 52084 || 55768 || 59519 || 63336 || 67217 || 71160 || 75164 || 79226 || 83346 || 87522 || 91754 || 96039 || 100377 || 104767 || 109208 || 113699 || 118238 || 122826 || 127460 || 132141 || 136868 || 141640 || 146456 || 151315 || 156218 || 161163 || 166149 || 171177 || 176245 || 181354 || 186502 || 191689 || 196914 || 202178 || 207479
 +
|-
 +
! 8
 +
| 9687 || 12131 || 14718 || 17436 || 20274 || 23226 || 26284 || 29442 || 32695 || 36039 || 39470 || 42985 || style="background: lightgreen"|46580 || 50252 || 53999 || 57818 || 61707 || 65664 || 69688 || 73776 || 77926 || 82138 || 86409 || 90739 || 95126 || 99569 || 104067 || 108618 || 113222 || 117877 || 122584 || 127340 || 132145 || 136998 || 141898 || 146846 || 151839 || 156877 || 161959 || 167086 || 172256 || 177468 || 182723 || 188019 || 193356 || 198734 || 204151 || 209609 || 215105
 +
|-
 +
! 9
 +
| 10003 || 12527 || 15199 || 18005 || 20936 || 23984 || 27142 || 30403 || 33763 || 37216 || 40759 || 44389 || 48101 || style="background: lightgreen"|51893 || 55762 || 59706 || 63722 || 67809 || 71963 || 76185 || 80471 || 84820 || 89231 || 93702 || 98233 || 102821 || 107465 || 112165 || 116919 || 121727 || 126587 || 131498 || 136460 || 141472 || 146532 || 151641 || 156797 || 162000 || 167248 || 172542 || 177881 || 183264 || 188690 || 194159 || 199670 || 205224 || 210818 || 216453 || 222129
 +
|-
 +
! 10
 +
| 10304 || 12904 || 15655 || 18546 || 21565 || 24705 || 27957 || 31317 || 34777 || 38334 || 41984 || 45722 || 49546 || 53452 || style="background: lightgreen"|57437 || 61500 || 65636 || 69846 || 74125 || 78473 || 82888 || 87368 || 91912 || 96517 || 101184 || 105909 || 110694 || 115535 || 120432 || 125384 || 130390 || 135449 || 140560 || 145722 || 150934 || 156196 || 161507 || 166866 || 172273 || 177726 || 183225 || 188769 || 194358 || 199992 || 205669 || 211389 || 217152 || 222956 || 228802
 +
|-
 +
! 11
 +
| 10596 || 13269 || 16099 || 19071 || 22176 || 25405 || 28749 || 32204 || 35762 || 39420 || 43173 || 47017 || 50949 || 54966 || 59064 || style="background: lightgreen"|63242 || 67496 || 71824 || 76225 || 80696 || 85236 || 89843 || 94515 || 99251 || 104050 || 108910 || 113829 || 118808 || 123843 || 128936 || 134083 || 139286 || 144541 || 149850 || 155210 || 160621 || 166083 || 171593 || 177153 || 182760 || 188415 || 194117 || 199864 || 205657 || 211495 || 217377 || 223303 || 229272 || 235284
 +
|-
 +
! 12
 +
| 10884 || 13630 || 16536 || 19590 || 22779 || 26095 || 29531 || 33079 || 36734 || 40491 || 44346 || 48295 || 52334 || 56460 || 60669 || 64960 || style="background: lightgreen"|69330 || 73776 || 78296 || 82889 || 87553 || 92285 || 97084 || 101949 || 106877 || 111869 || 116922 || 122036 || 127209 || 132439 || 137727 || 143071 || 148469 || 153922 || 159428 || 164986 || 170596 || 176256 || 181967 || 187727 || 193535 || 199392 || 205295 || 211246 || 217242 || 223284 || 229371 || 235502 || 241677
 +
|-
 +
! 13
 +
| 11171 || 13989 || 16972 || 20106 || 23380 || 26783 || 30309 || 33951 || 37703 || 41559 || 45516 || 49569 || 53714 || 57949 || 62269 || 66673 || 71158 || style="background: lightgreen"|75722 || 80361 || 85075 || 89862 || 94718 || 99644 || 104637 || 109696 || 114819 || 120006 || 125254 || 130563 || 135932 || 141359 || 146844 || 152385 || 157981 || 163632 || 169337 || 175095 || 180905 || 186766 || 192678 || 198639 || 204650 || 210709 || 216817 || 222971 || 229173 || 235420 || 241713 || 248051
 +
|-
 +
! 14
 +
| 11459 || 14350 || 17410 || 20625 || 23983 || 27474 || 31091 || 34827 || 38675 || 42631 || 46690 || 50847 || 55100 || 59443 || 63875 || 68393 || 72994 || 77675 || style="background: lightgreen"|82434 || 87270 || 92179 || 97161 || 102214 || 107336 || 112525 || 117781 || 123101 || 128485 || 133931 || 139438 || 145005 || 150631 || 156315 || 162056 || 167853 || 173705 || 179611 || 185570 || 191583 || 197647 || 203762 || 209928 || 216144 || 222409 || 228722 || 235083 || 241492 || 247947 || 254449
 +
|-
 +
! 15
 +
| 11749 || 14714 || 17851 || 21148 || 24590 || 28170 || 31879 || 35709 || 39655 || 43712 || 47873 || 52136 || 56496 || 60950 || 65494 || 70127 || 74844 || 79643 || 84523 || style="background: lightgreen"|89481 || 94516 || 99624 || 104805 || 110056 || 115377 || 120766 || 126221 || 131741 || 137326 || 142972 || 148680 || 154449 || 160277 || 166163 || 172107 || 178107 || 184163 || 190274 || 196439 || 202657 || 208927 || 215249 || 221622 || 228046 || 234519 || 241042 || 247613 || 254232 || 260898
 +
|-
 +
! 16
 +
| 12043 || 15081 || 18297 || 21676 || 25205 || 28874 || 32675 || 36601 || 40646 || 44803 || 49069 || 53438 || 57907 || 62472 || 67130 || 71878 || 76713 || 81633 || 86634 || 91716 || style="background: lightgreen"|96876 || 102112 || 107422 || 112805 || 118259 || 123782 || 129374 || 135032 || 140755 || 146543 || 152394 || 158306 || 164280 || 170313 || 176405 || 182556 || 188763 || 195026 || 201345 || 207718 || 214145 || 220625 || 227158 || 233742 || 240377 || 247062 || 253797 || 260581 || 267414
 +
|-
 +
! 17
 +
| 12339 || 15453 || 18748 || 22210 || 25826 || 29585 || 33480 || 37503 || 41647 || 45907 || 50278 || 54755 || 59334 || 64011 || 68784 || 73649 || 78603 || 83644 || 88769 || 93976 || style="background: lightgreen"|99263 || 104628 || 110069 || 115585 || 121173 || 126832 || 132562 || 138359 || 144224 || 150154 || 156149 || 162207 || 168328 || 174510 || 180752 || 187054 || 193414 || 199832 || 206306 || 212836 || 219422 || 226061 || 232755 || 239501 || 246300 || 253150 || 260051 || 267002 || 274003
 +
|-
 +
! 18
 +
| 12639 || 15828 || 19204 || 22750 || 26454 || 30305 || 34294 || 38415 || 42660 || 47023 || 51500 || 56086 || 60776 || 65568 || 70456 || 75440 || 80514 || 85677 || 90927 || 96261 || 101676 || style="background: lightgreen"|107172 || 112745 || 118395 || 124119 || 129916 || 135784 || 141723 || 147730 || 153804 || 159945 || 166151 || 172420 || 178752 || 185146 || 191601 || 198116 || 204690 || 211322 || 218011 || 224756 || 231557 || 238413 || 245324 || 252287 || 259304 || 266373 || 273493 || 280665
 +
|-
 +
! 19
 +
| 12942 || 16208 || 19664 || 23295 || 27088 || 31031 || 35116 || 39336 || 43682 || 48150 || 52735 || 57430 || 62233 || 67139 || 72145 || 77248 || 82444 || 87731 || 93106 || 98568 || 104113 || 109740 || style="background: lightgreen"|115447 || 121232 || 127094 || 133029 || 139039 || 145119 || 151270 || 157490 || 163778 || 170133 || 176552 || 183036 || 189584 || 196193 || 202864 || 209595 || 216386 || 223236 || 230143 || 237107 || 244127 || 251203 || 258334 || 265519 || 272757 || 280048 || 287391
 +
|-
 +
! 20
 +
| 13248 || 16590 || 20128 || 23845 || 27727 || 31763 || 35945 || 40264 || 44713 || 49286 || 53979 || 58785 || 63701 || 68723 || 73847 || 79070 || 84389 || 89801 || 95303 || 100893 || 106569 || 112329 || 118171 || style="background: lightgreen"|124092 || 130092 || 136168 || 142319 || 148543 || 154839 || 161206 || 167642 || 174146 || 180717 || 187354 || 194056 || 200822 || 207650 || 214540 || 221491 || 228502 || 235572 || 242701 || 249887 || 257129 || 264428 || 271783 || 279192 || 286655 || 294171
 +
|-
 +
! 21
 +
| 13555 || 16975 || 20594 || 24397 || 28369 || 32499 || 36778 || 41197 || 45749 || 50429 || 55230 || 60147 || 65177 || 70316 || 75558 || 80902 || 86344 || 91882 || 97511 || 103231 || 109039 || 114932 || 120909 || 126968 || style="background: lightgreen"|133107 || 139323 || 145617 || 151985 || 158427 || 164942 || 171527 || 178182 || 184905 || 191696 || 198553 || 205476 || 212462 || 219512 || 226624 || 233797 || 241031 || 248325 || 255678 || 263088 || 270556 || 278081 || 285662 || 293298 || 300988
 +
|-
 +
! 22
 +
| 13862 || 17360 || 21062 || 24951 || 29013 || 33237 || 37613 || 42132 || 46788 || 51574 || 56484 || 61513 || 66657 || 71912 || 77274 || 82739 || 88305 || 93968 || 99726 || 105575 || 111515 || 117542 || 123655 || 129851 || style="background: lightgreen"|136129 || 142487 || 148923 || 155436 || 162025 || 168687 || 175422 || 182228 || 189104 || 196049 || 203062 || 210141 || 217287 || 224496 || 231770 || 239106 || 246504 || 253964 || 261483 || 269062 || 276700 || 284395 || 292148 || 299958 || 307823
 +
|-
 +
! 23
 +
| 14170 || 17745 || 21529 || 25505 || 29657 || 33974 || 38447 || 43067 || 47826 || 52718 || 57737 || 62878 || 68136 || 73508 || 78988 || 84575 || 90264 || 96053 || 101938 || 107917 || 113989 || 120150 || 126398 || 132732 || 139149 || style="background: lightgreen"|145648 || 152227 || 158884 || 165619 || 172429 || 179313 || 186270 || 193299 || 200398 || 207566 || 214803 || 222107 || 229476 || 236911 || 244410 || 251973 || 259597 || 267284 || 275031 || 282838 || 290704 || 298629 || 306612 || 314651
 +
|-
 +
! 24
 +
| 14476 || 18128 || 21994 || 26055 || 30297 || 34708 || 39278 || 43997 || 48859 || 53856 || 58984 || 64236 || 69608 || 75095 || 80694 || 86402 || 92214 || 98127 || 104140 || 110248 || 116451 || 122745 || 129128 || 135599 || 142154 || 148794 || style="background: lightgreen"|155515 || 162316 || 169196 || 176153 || 183186 || 190294 || 197474 || 204727 || 212050 || 219443 || 226904 || 234433 || 242029 || 249690 || 257415 || 265205 || 273057 || 280971 || 288947 || 296983 || 305079 || 313234 || 321448
 +
|-
 +
! 25
 +
| 14779 || 18508 || 22455 || 26601 || 30932 || 35436 || 40101 || 44919 || 49883 || 54985 || 60220 || 65582 || 71066 || 76669 || 82385 || 88212 || 94146 || 100183 || 106322 || 112559 || 118891 || 125317 || 131834 || 138440 || 145133 || 151912 || 158774 || style="background: lightgreen"|165717 || 172742 || 179845 || 187025 || 194281 || 201612 || 209016 || 216493 || 224041 || 231659 || 239345 || 247100 || 254921 || 262809 || 270762 || 278779 || 286859 || 295002 || 303206 || 311472 || 319798 || 328183
 +
|-
 +
! 26
 +
| 15079 || 18883 || 22910 || 27140 || 31558 || 36153 || 40912 || 45828 || 50892 || 56098 || 61439 || 66909 || 72505 || 78221 || 84053 || 89998 || 96052 || 102211 || 108474 || 114837 || 121298 || 127854 || 134503 || 141242 || 148071 || 154987 || 161988 || style="background: lightgreen"|169072 || 176239 || 183485 || 190811 || 198214 || 205693 || 213248 || 220876 || 228576 || 236348 || 244191 || 252102 || 260082 || 268129 || 276243 || 284422 || 292666 || 300974 || 309344 || 317777 || 326272 || 334827
 +
|-
 +
! 27
 +
| 15372 || 19251 || 23356 || 27668 || 32173 || 36857 || 41709 || 46721 || 51883 || 57190 || 62635 || 68212 || 73917 || 79744 || 85690 || 91750 || 97922 || 104202 || 110586 || 117073 || 123660 || 130343 || 137122 || 143993 || 150954 || 158005 || 165142 || 172364 || style="background: lightgreen"|179670 || 187058 || 194526 || 202074 || 209699 || 217400 || 225176 || 233027 || 240950 || 248945 || 257011 || 265146 || 273350 || 281622 || 289960 || 298365 || 306834 || 315368 || 323965 || 332625 || 341346
 +
|-
 +
! 28
 +
| 15659 || 19609 || 23791 || 28184 || 32773 || 37544 || 42486 || 47591 || 52850 || 58256 || 63802 || 69484 || 75294 || 81230 || 87287 || 93460 || 99747 || 106144 || 112647 || 119255 || 125964 || 132772 || 139677 || 146676 || 153768 || 160949 || 168220 || 175577 || 183019 || style="background: lightgreen"|190544 || 198152 || 205840 || 213607 || 221452 || 229373 || 237370 || 245441 || 253585 || 261801 || 270088 || 278444 || 286870 || 295364 || 303925 || 312552 || 321245 || 330002 || 338824 || 347708
 +
|-
 +
! 29
 +
| 15936 || 19957 || 24213 || 28684 || 33354 || 38210 || 43240 || 48436 || 53788 || 59290 || 64934 || 70716 || 76630 || 82671 || 88835 || 95118 || 101517 || 108027 || 114646 || 121371 || 128199 || 135128 || 142155 || 149279 || 156496 || 163805 || 171204 || 178692 || 186266 || 193925 || style="background: lightgreen"|201667 || 209492 || 217397 || 225381 || 233443 || 241581 || 249796 || 258084 || 266446 || 274880 || 283385 || 291960 || 300605 || 309318 || 318098 || 326945 || 335858 || 344835 || 353877
 +
|-
 +
! 30
 +
| 16204 || 20293 || 24620 || 29166 || 33914 || 38852 || 43966 || 49249 || 54691 || 60285 || 66025 || 71904 || 77917 || 84060 || 90327 || 96716 || 103222 || 109841 || 116571 || 123409 || 130352 || 137397 || 144543 || 151786 || 159124 || 166556 || 174079 || 181693 || 189394 || 197182 || 205054 || style="background: lightgreen"|213010 || 221048 || 229166 || 237363 || 245639 || 253991 || 262418 || 270920 || 279496 || 288144 || 296863 || 305653 || 314512 || 323440 || 332436 || 341498 || 350626 || 359820
 +
|-
 +
! 31
 +
| 16460 || 20613 || 25009 || 29626 || 34450 || 39465 || 44661 || 50027 || 55555 || 61237 || 67068 || 73040 || 79148 || 85387 || 91754 || 98243 || 104852 || 111576 || 118412 || 125358 || 132411 || 139567 || 146825 || 154183 || 161637 || 169186 || 176829 || 184562 || 192385 || 200296 || 208292 || style="background: lightgreen"|216374 || 224538 || 232785 || 241112 || 249518 || 258002 || 266563 || 275199 || 283910 || 292694 || 301552 || 310480 || 319479 || 328548 || 337686 || 346891 || 356164 || 365503
 +
|-
 +
! 32
 +
| 16703 || 20917 || 25377 || 30063 || 34958 || 40047 || 45319 || 50765 || 56374 || 62140 || 68057 || 74116 || 80315 || 86646 || 93107 || 99692 || 106398 || 113221 || 120158 || 127207 || 134363 || 141625 || 148990 || 156456 || 164020 || 171681 || 179436 || 187283 || 195222 || 203249 || 211364 || 219564 || style="background: lightgreen"|227849 || 236217 || 244667 || 253197 || 261806 || 270493 || 279257 || 288096 || 297010 || 305998 || 315058 || 324190 || 333392 || 342665 || 352006 || 361415 || 370892
 +
|-
 +
! 33
 +
| 16931 || 21203 || 25724 || 30474 || 35435 || 40594 || 45938 || 51458 || 57144 || 62989 || 68986 || 75129 || 81412 || 87830 || 94378 || 101053 || 107851 || 114767 || 121799 || 128944 || 136198 || 143559 || 151025 || 158593 || 166260 || 174026 || 181886 || 189841 || 197888 || 206025 || 214250 || 222563 || 230961 || style="background: lightgreen"|239443 || 248008 || 256655 || 265381 || 274187 || 283071 || 292031 || 301066 || 310177 || 319361 || 328617 || 337945 || 347344 || 356813 || 366351 || 375957
 +
|-
 +
! 34
 +
| 17143 || 21468 || 26046 || 30856 || 35879 || 41103 || 46514 || 52103 || 57860 || 63779 || 69851 || 76070 || 82432 || 88930 || 95561 || 102320 || 109202 || 116206 || 123326 || 130560 || 137905 || 145359 || 152918 || 160581 || 168344 || 176207 || 184166 || 192221 || 200368 || 208607 || 216936 || 225352 || 233856 || 242444 || style="background: lightgreen"|251117 || 259871 || 268708 || 277624 || 286618 || 295691 || 304840 || 314064 || 323363 || 332736 || 342181 || 351698 || 361285 || 370943 || 380669
 +
|-
 +
! 35
 +
| 17338 || 21713 || 26343 || 31207 || 36288 || 41571 || 47043 || 52696 || 58519 || 64504 || 70646 || 76936 || 83370 || 89943 || 96649 || 103484 || 110445 || 117528 || 124730 || 132046 || 139475 || 147013 || 154658 || 162408 || 170260 || 178212 || 186262 || 194408 || 202649 || 210981 || 219405 || 227917 || 236517 || 245204 || 253975 || style="background: lightgreen"|262829 || 271766 || 280784 || 289881 || 299056 || 308310 || 317639 || 327044 || 336523 || 346076 || 355701 || 365398 || 375165 || 385002
 +
|-
 +
! 36
 +
| 17515 || 21934 || 26612 || 31526 || 36658 || 41995 || 47524 || 53234 || 59116 || 65163 || 71367 || 77722 || 84221 || 90861 || 97636 || 104541 || 111573 || 118728 || 126003 || 133394 || 140899 || 148514 || 156237 || 164066 || 171999 || 180032 || 188164 || 196393 || 204718 || 213135 || 221645 || 230244 || 238932 || 247707 || 256568 || 265513 || 274541 || style="background: lightgreen"|283650 || 292840 || 302110 || 311457 || 320882 || 330383 || 339959 || 349609 || 359333 || 369128 || 378995 || 388933
 +
|-
 +
! 37
 +
| 17673 || 22132 || 26852 || 31810 || 36989 || 42374 || 47952 || 53714 || 59650 || 65751 || 72011 || 78423 || 84981 || 91681 || 98516 || 105484 || 112580 || 119799 || 127140 || 134598 || 142170 || 149854 || 157647 || 165547 || 173551 || 181656 || 189862 || 198165 || 206565 || 215058 || 223645 || 232322 || 241088 || 249942 || 258883 || 267909 || 277018 || 286210 || style="background: lightgreen"|295483 || 304836 || 314268 || 323777 || 333364 || 343026 || 352764 || 362575 || 372459 || 382415 || 392442
 +
|-
 +
! 38
 +
| 17812 || 22306 || 27062 || 32059 || 37279 || 42706 || 48328 || 54135 || 60117 || 66266 || 72575 || 79037 || 85647 || 92399 || 99288 || 106310 || 113461 || 120737 || 128135 || 135652 || 143283 || 151027 || 158881 || 166843 || 174909 || 183078 || 191348 || 199717 || 208182 || 216742 || 225396 || 234141 || 242976 || 251899 || 260910 || 270006 || 279187 || 288450 || 297796 || style="background: lightgreen"|307222 || 316728 || 326312 || 335974 || 345712 || 355526 || 365413 || 375375 || 385409 || 395515
 +
|-
 +
! 39
 +
| 17930 || 22454 || 27242 || 32272 || 37526 || 42989 || 48649 || 54494 || 60516 || 66706 || 73056 || 79561 || 86215 || 93012 || 99947 || 107015 || 114214 || 121539 || 128986 || 136552 || 144234 || 152030 || 159936 || 167950 || 176070 || 184293 || 192618 || 201042 || 209563 || 218180 || 226891 || 235694 || 244588 || 253571 || 262641 || 271798 || 281039 || 290364 || 299772 || 309261 || style="background: lightgreen"|318830 || 328478 || 338203 || 348006 || 357885 || 367838 || 377866 || 387966 || 398139
 +
|-
 +
! 40
 +
| 18027 || 22576 || 27390 || 32448 || 37730 || 43223 || 48914 || 54791 || 60845 || 67069 || 73454 || 79995 || 86685 || 93518 || 100491 || 107599 || 114836 || 122201 || 129688 || 137296 || 145020 || 152858 || 160807 || 168865 || 177029 || 185297 || 193667 || 202137 || 210705 || 219369 || 228128 || 236979 || 245921 || 254952 || 264072 || 273279 || 282571 || 291947 || 301405 || 310946 || 320567 || 330267 || style="background: lightgreen"|340046 || 349902 || 359835 || 369842 || 379925 || 390080 || 400308
 +
|-
 +
! 41
 +
| 18104 || 22672 || 27507 || 32586 || 37892 || 43408 || 49123 || 55025 || 61105 || 67356 || 73768 || 80337 || 87055 || 93918 || 100921 || 108059 || 115327 || 122723 || 130243 || 137883 || 145640 || 153511 || 161495 || 169587 || 177786 || 186090 || 194495 || 203002 || 211606 || 220307 || 229103 || 237992 || 246972 || 256042 || 265201 || 274447 || 283779 || 293195 || 302694 || 312275 || 321937 || 331679 || 341500 || style="background: lightgreen"|351398 || 361373 || 371423 || 381549 || 391748 || 402020
 +
|-
 +
! 42
 +
| 18161 || 22743 || 27593 || 32688 || 38010 || 43543 || 49276 || 55197 || 61296 || 67566 || 73999 || 80588 || 87327 || 94211 || 101236 || 108396 || 115687 || 123106 || 130649 || 138313 || 146094 || 153991 || 161999 || 170116 || 178341 || 186670 || 195102 || 203635 || 212266 || 220995 || 229818 || 238734 || 247743 || 256841 || 266029 || 275303 || 284664 || 294110 || 303639 || 313250 || 322942 || 332714 || 342566 || 352495 || 362501 || style="background: lightgreen"|372583 || 382740 || 392970 || 403274
 +
|-
 +
! 43
 +
| 18197 || 22788 || 27648 || 32753 || 38086 || 43630 || 49374 || 55307 || 61418 || 67700 || 74146 || 80748 || 87501 || 94399 || 101437 || 108612 || 115918 || 123351 || 130910 || 138589 || 146385 || 154297 || 162321 || 170455 || 178696 || 187042 || 195491 || 204041 || 212689 || 221435 || 230276 || 239210 || 248236 || 257353 || 266559 || 275852 || 285231 || 294696 || 304243 || 313874 || 323585 || 333377 || 343248 || 353197 || 363223 || 373325 || 383502 || style="background: lightgreen"|393753 || 404078
 +
|-
 +
! 44
 +
| 18213 || 22809 || 27673 || 32782 || 38120 || 43669 || 49418 || 55356 || 61473 || 67761 || 74212 || 80820 || 87579 || 94483 || 101528 || 108709 || 116021 || 123462 || 131027 || 138712 || 146516 || 154435 || 162466 || 170608 || 178856 || 187209 || 195666 || 204223 || 212879 || 221633 || 230481 || 239424 || 248458 || 257583 || 266797 || 276098 || 285486 || 294959 || 304515 || 314154 || 323875 || 333675 || 343555 || 353513 || 363548 || 373659 || 383845 || 394105 || style="background: lightgreen"|404439
 +
|-
 +
! 45
 +
| 18210 || 22805 || 27668 || 32777 || 38113 || 43662 || 49410 || 55347 || 61463 || 67750 || 74200 || 80807 || 87564 || 94467 || 101511 || 108690 || 116002 || 123441 || 131004 || 138689 || 146491 || 154409 || 162439 || 170579 || 178826 || 187178 || 195633 || 204189 || 212843 || 221595 || 230442 || 239383 || 248416 || 257539 || 266752 || 276052 || 285438 || 294909 || 304464 || 314101 || 323820 || 333619 || 343497 || 353453 || 363486 || 373595 || 383780 || 394038 || 404371
 +
|-
 +
! 46
 +
| 18189 || 22778 || 27635 || 32738 || 38068 || 43610 || 49351 || 55281 || 61389 || 67669 || 74111 || 80710 || 87460 || 94355 || 101390 || 108561 || 115863 || 123293 || 130848 || 138523 || 146317 || 154225 || 162245 || 170375 || 178612 || 186954 || 195399 || 203945 || 212589 || 221331 || 230167 || 239098 || 248120 || 257232 || 266433 || 275722 || 285097 || 294557 || 304100 || 313726 || 323433 || 333220 || 343087 || 353031 || 363052 || 373149 || 383322 || 393568 || 403888
 +
|-
 +
! 47
 +
| 18149 || 22728 || 27575 || 32667 || 37985 || 43515 || 49244 || 55161 || 61256 || 67521 || 73950 || 80535 || 87270 || 94149 || 101169 || 108325 || 115611 || 123025 || 130563 || 138222 || 145998 || 153889 || 161892 || 170004 || 178224 || 186548 || 194974 || 203501 || 212127 || 220849 || 229667 || 238577 || 247580 || 256672 || 265854 || 275122 || 284477 || 293916 || 303439 || 313044 || 322730 || 332496 || 342340 || 352263 || 362262 || 372338 || 382488 || 392712 || 403009
 +
|}
 +
* Highlighted cells are the land size at which the expected land multiplier is equal to 1 (closest to base DP formula)
 +
</div>

Revision as of 20:22, 23 June 2022

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

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

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

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

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

Expected Land Size

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

Final DP By Land

[DP Formula] * 0.95 * (([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 3428 4293 5209 6171 7175 8220 9302 10420 11571 12755 13969 15213 16485 17785 19111 20462 21839 23239 24663 26110 27579 29069 30581 32113 33666 35238 36830 38441 40070 41718 43383 45067 46767 48485 50219 51970 53737 55520 57319 59133 60963 62807 64667 66541 68430 70333 72251 74182 76127
2 5758 7211 8749 10364 12052 13806 15624 17501 19435 21423 23463 25552 27689 29872 32099 34369 36681 39033 41425 43855 46322 48826 51365 53939 56547 59188 61861 64567 67304 70071 72869 75696 78552 81437 84350 87291 90259 93254 96275 99323 102396 105494 108618 111766 114939 118135 121356 124600 127867
3 7059 8840 10725 12706 14774 16925 19153 21455 23825 26262 28763 31324 33943 36619 39350 42133 44967 47850 50782 53761 56786 59855 62968 66123 69320 72557 75835 79151 82506 85899 89328 92794 96296 99832 103403 107008 110647 114318 118022 121758 125525 129323 133153 137012 140901 144820 148768 152744 156750
4 7894 9885 11993 14208 16521 18926 21417 23991 26642 29367 32163 35027 37956 40948 44001 47113 50282 53507 56786 60117 63499 66931 70411 73940 77514 81135 84800 88508 92260 96053 99888 103764 107679 111634 115627 119658 123727 127832 131974 136151 140364 144612 148893 153209 157558 161940 166355 170801 175280
5 8490 10632 12899 15281 17769 20356 23036 25803 28655 31586 34593 37673 40824 44042 47326 50673 54081 57550 61076 64659 68296 71988 75731 79526 83371 87265 91207 95195 99230 103311 107435 111604 115815 120068 124363 128699 133075 137490 141945 146438 150969 155537 160143 164784 169462 174175 178923 183706 188523
6 8955 11214 13606 16118 18742 21470 24297 27216 30224 33315 36487 39736 43059 46454 49917 53448 57043 60701 64421 68199 72036 75930 79878 83881 87936 92044 96201 100409 104665 108968 113319 117715 122157 126644 131174 135747 140362 145020 149718 154457 159237 164055 168913 173808 178742 183713 188722 193766 198847
7 9344 11701 14196 16818 19556 22403 25352 28398 31536 34762 38071 41461 44928 48470 52084 55768 59519 63336 67217 71160 75164 79226 83346 87522 91754 96039 100377 104767 109208 113699 118238 122826 127460 132141 136868 141640 146456 151315 156218 161163 166149 171177 176245 181354 186502 191689 196914 202178 207479
8 9687 12131 14718 17436 20274 23226 26284 29442 32695 36039 39470 42985 46580 50252 53999 57818 61707 65664 69688 73776 77926 82138 86409 90739 95126 99569 104067 108618 113222 117877 122584 127340 132145 136998 141898 146846 151839 156877 161959 167086 172256 177468 182723 188019 193356 198734 204151 209609 215105
9 10003 12527 15199 18005 20936 23984 27142 30403 33763 37216 40759 44389 48101 51893 55762 59706 63722 67809 71963 76185 80471 84820 89231 93702 98233 102821 107465 112165 116919 121727 126587 131498 136460 141472 146532 151641 156797 162000 167248 172542 177881 183264 188690 194159 199670 205224 210818 216453 222129
10 10304 12904 15655 18546 21565 24705 27957 31317 34777 38334 41984 45722 49546 53452 57437 61500 65636 69846 74125 78473 82888 87368 91912 96517 101184 105909 110694 115535 120432 125384 130390 135449 140560 145722 150934 156196 161507 166866 172273 177726 183225 188769 194358 199992 205669 211389 217152 222956 228802
11 10596 13269 16099 19071 22176 25405 28749 32204 35762 39420 43173 47017 50949 54966 59064 63242 67496 71824 76225 80696 85236 89843 94515 99251 104050 108910 113829 118808 123843 128936 134083 139286 144541 149850 155210 160621 166083 171593 177153 182760 188415 194117 199864 205657 211495 217377 223303 229272 235284
12 10884 13630 16536 19590 22779 26095 29531 33079 36734 40491 44346 48295 52334 56460 60669 64960 69330 73776 78296 82889 87553 92285 97084 101949 106877 111869 116922 122036 127209 132439 137727 143071 148469 153922 159428 164986 170596 176256 181967 187727 193535 199392 205295 211246 217242 223284 229371 235502 241677
13 11171 13989 16972 20106 23380 26783 30309 33951 37703 41559 45516 49569 53714 57949 62269 66673 71158 75722 80361 85075 89862 94718 99644 104637 109696 114819 120006 125254 130563 135932 141359 146844 152385 157981 163632 169337 175095 180905 186766 192678 198639 204650 210709 216817 222971 229173 235420 241713 248051
14 11459 14350 17410 20625 23983 27474 31091 34827 38675 42631 46690 50847 55100 59443 63875 68393 72994 77675 82434 87270 92179 97161 102214 107336 112525 117781 123101 128485 133931 139438 145005 150631 156315 162056 167853 173705 179611 185570 191583 197647 203762 209928 216144 222409 228722 235083 241492 247947 254449
15 11749 14714 17851 21148 24590 28170 31879 35709 39655 43712 47873 52136 56496 60950 65494 70127 74844 79643 84523 89481 94516 99624 104805 110056 115377 120766 126221 131741 137326 142972 148680 154449 160277 166163 172107 178107 184163 190274 196439 202657 208927 215249 221622 228046 234519 241042 247613 254232 260898
16 12043 15081 18297 21676 25205 28874 32675 36601 40646 44803 49069 53438 57907 62472 67130 71878 76713 81633 86634 91716 96876 102112 107422 112805 118259 123782 129374 135032 140755 146543 152394 158306 164280 170313 176405 182556 188763 195026 201345 207718 214145 220625 227158 233742 240377 247062 253797 260581 267414
17 12339 15453 18748 22210 25826 29585 33480 37503 41647 45907 50278 54755 59334 64011 68784 73649 78603 83644 88769 93976 99263 104628 110069 115585 121173 126832 132562 138359 144224 150154 156149 162207 168328 174510 180752 187054 193414 199832 206306 212836 219422 226061 232755 239501 246300 253150 260051 267002 274003
18 12639 15828 19204 22750 26454 30305 34294 38415 42660 47023 51500 56086 60776 65568 70456 75440 80514 85677 90927 96261 101676 107172 112745 118395 124119 129916 135784 141723 147730 153804 159945 166151 172420 178752 185146 191601 198116 204690 211322 218011 224756 231557 238413 245324 252287 259304 266373 273493 280665
19 12942 16208 19664 23295 27088 31031 35116 39336 43682 48150 52735 57430 62233 67139 72145 77248 82444 87731 93106 98568 104113 109740 115447 121232 127094 133029 139039 145119 151270 157490 163778 170133 176552 183036 189584 196193 202864 209595 216386 223236 230143 237107 244127 251203 258334 265519 272757 280048 287391
20 13248 16590 20128 23845 27727 31763 35945 40264 44713 49286 53979 58785 63701 68723 73847 79070 84389 89801 95303 100893 106569 112329 118171 124092 130092 136168 142319 148543 154839 161206 167642 174146 180717 187354 194056 200822 207650 214540 221491 228502 235572 242701 249887 257129 264428 271783 279192 286655 294171
21 13555 16975 20594 24397 28369 32499 36778 41197 45749 50429 55230 60147 65177 70316 75558 80902 86344 91882 97511 103231 109039 114932 120909 126968 133107 139323 145617 151985 158427 164942 171527 178182 184905 191696 198553 205476 212462 219512 226624 233797 241031 248325 255678 263088 270556 278081 285662 293298 300988
22 13862 17360 21062 24951 29013 33237 37613 42132 46788 51574 56484 61513 66657 71912 77274 82739 88305 93968 99726 105575 111515 117542 123655 129851 136129 142487 148923 155436 162025 168687 175422 182228 189104 196049 203062 210141 217287 224496 231770 239106 246504 253964 261483 269062 276700 284395 292148 299958 307823
23 14170 17745 21529 25505 29657 33974 38447 43067 47826 52718 57737 62878 68136 73508 78988 84575 90264 96053 101938 107917 113989 120150 126398 132732 139149 145648 152227 158884 165619 172429 179313 186270 193299 200398 207566 214803 222107 229476 236911 244410 251973 259597 267284 275031 282838 290704 298629 306612 314651
24 14476 18128 21994 26055 30297 34708 39278 43997 48859 53856 58984 64236 69608 75095 80694 86402 92214 98127 104140 110248 116451 122745 129128 135599 142154 148794 155515 162316 169196 176153 183186 190294 197474 204727 212050 219443 226904 234433 242029 249690 257415 265205 273057 280971 288947 296983 305079 313234 321448
25 14779 18508 22455 26601 30932 35436 40101 44919 49883 54985 60220 65582 71066 76669 82385 88212 94146 100183 106322 112559 118891 125317 131834 138440 145133 151912 158774 165717 172742 179845 187025 194281 201612 209016 216493 224041 231659 239345 247100 254921 262809 270762 278779 286859 295002 303206 311472 319798 328183
26 15079 18883 22910 27140 31558 36153 40912 45828 50892 56098 61439 66909 72505 78221 84053 89998 96052 102211 108474 114837 121298 127854 134503 141242 148071 154987 161988 169072 176239 183485 190811 198214 205693 213248 220876 228576 236348 244191 252102 260082 268129 276243 284422 292666 300974 309344 317777 326272 334827
27 15372 19251 23356 27668 32173 36857 41709 46721 51883 57190 62635 68212 73917 79744 85690 91750 97922 104202 110586 117073 123660 130343 137122 143993 150954 158005 165142 172364 179670 187058 194526 202074 209699 217400 225176 233027 240950 248945 257011 265146 273350 281622 289960 298365 306834 315368 323965 332625 341346
28 15659 19609 23791 28184 32773 37544 42486 47591 52850 58256 63802 69484 75294 81230 87287 93460 99747 106144 112647 119255 125964 132772 139677 146676 153768 160949 168220 175577 183019 190544 198152 205840 213607 221452 229373 237370 245441 253585 261801 270088 278444 286870 295364 303925 312552 321245 330002 338824 347708
29 15936 19957 24213 28684 33354 38210 43240 48436 53788 59290 64934 70716 76630 82671 88835 95118 101517 108027 114646 121371 128199 135128 142155 149279 156496 163805 171204 178692 186266 193925 201667 209492 217397 225381 233443 241581 249796 258084 266446 274880 283385 291960 300605 309318 318098 326945 335858 344835 353877
30 16204 20293 24620 29166 33914 38852 43966 49249 54691 60285 66025 71904 77917 84060 90327 96716 103222 109841 116571 123409 130352 137397 144543 151786 159124 166556 174079 181693 189394 197182 205054 213010 221048 229166 237363 245639 253991 262418 270920 279496 288144 296863 305653 314512 323440 332436 341498 350626 359820
31 16460 20613 25009 29626 34450 39465 44661 50027 55555 61237 67068 73040 79148 85387 91754 98243 104852 111576 118412 125358 132411 139567 146825 154183 161637 169186 176829 184562 192385 200296 208292 216374 224538 232785 241112 249518 258002 266563 275199 283910 292694 301552 310480 319479 328548 337686 346891 356164 365503
32 16703 20917 25377 30063 34958 40047 45319 50765 56374 62140 68057 74116 80315 86646 93107 99692 106398 113221 120158 127207 134363 141625 148990 156456 164020 171681 179436 187283 195222 203249 211364 219564 227849 236217 244667 253197 261806 270493 279257 288096 297010 305998 315058 324190 333392 342665 352006 361415 370892
33 16931 21203 25724 30474 35435 40594 45938 51458 57144 62989 68986 75129 81412 87830 94378 101053 107851 114767 121799 128944 136198 143559 151025 158593 166260 174026 181886 189841 197888 206025 214250 222563 230961 239443 248008 256655 265381 274187 283071 292031 301066 310177 319361 328617 337945 347344 356813 366351 375957
34 17143 21468 26046 30856 35879 41103 46514 52103 57860 63779 69851 76070 82432 88930 95561 102320 109202 116206 123326 130560 137905 145359 152918 160581 168344 176207 184166 192221 200368 208607 216936 225352 233856 242444 251117 259871 268708 277624 286618 295691 304840 314064 323363 332736 342181 351698 361285 370943 380669
35 17338 21713 26343 31207 36288 41571 47043 52696 58519 64504 70646 76936 83370 89943 96649 103484 110445 117528 124730 132046 139475 147013 154658 162408 170260 178212 186262 194408 202649 210981 219405 227917 236517 245204 253975 262829 271766 280784 289881 299056 308310 317639 327044 336523 346076 355701 365398 375165 385002
36 17515 21934 26612 31526 36658 41995 47524 53234 59116 65163 71367 77722 84221 90861 97636 104541 111573 118728 126003 133394 140899 148514 156237 164066 171999 180032 188164 196393 204718 213135 221645 230244 238932 247707 256568 265513 274541 283650 292840 302110 311457 320882 330383 339959 349609 359333 369128 378995 388933
37 17673 22132 26852 31810 36989 42374 47952 53714 59650 65751 72011 78423 84981 91681 98516 105484 112580 119799 127140 134598 142170 149854 157647 165547 173551 181656 189862 198165 206565 215058 223645 232322 241088 249942 258883 267909 277018 286210 295483 304836 314268 323777 333364 343026 352764 362575 372459 382415 392442
38 17812 22306 27062 32059 37279 42706 48328 54135 60117 66266 72575 79037 85647 92399 99288 106310 113461 120737 128135 135652 143283 151027 158881 166843 174909 183078 191348 199717 208182 216742 225396 234141 242976 251899 260910 270006 279187 288450 297796 307222 316728 326312 335974 345712 355526 365413 375375 385409 395515
39 17930 22454 27242 32272 37526 42989 48649 54494 60516 66706 73056 79561 86215 93012 99947 107015 114214 121539 128986 136552 144234 152030 159936 167950 176070 184293 192618 201042 209563 218180 226891 235694 244588 253571 262641 271798 281039 290364 299772 309261 318830 328478 338203 348006 357885 367838 377866 387966 398139
40 18027 22576 27390 32448 37730 43223 48914 54791 60845 67069 73454 79995 86685 93518 100491 107599 114836 122201 129688 137296 145020 152858 160807 168865 177029 185297 193667 202137 210705 219369 228128 236979 245921 254952 264072 273279 282571 291947 301405 310946 320567 330267 340046 349902 359835 369842 379925 390080 400308
41 18104 22672 27507 32586 37892 43408 49123 55025 61105 67356 73768 80337 87055 93918 100921 108059 115327 122723 130243 137883 145640 153511 161495 169587 177786 186090 194495 203002 211606 220307 229103 237992 246972 256042 265201 274447 283779 293195 302694 312275 321937 331679 341500 351398 361373 371423 381549 391748 402020
42 18161 22743 27593 32688 38010 43543 49276 55197 61296 67566 73999 80588 87327 94211 101236 108396 115687 123106 130649 138313 146094 153991 161999 170116 178341 186670 195102 203635 212266 220995 229818 238734 247743 256841 266029 275303 284664 294110 303639 313250 322942 332714 342566 352495 362501 372583 382740 392970 403274
43 18197 22788 27648 32753 38086 43630 49374 55307 61418 67700 74146 80748 87501 94399 101437 108612 115918 123351 130910 138589 146385 154297 162321 170455 178696 187042 195491 204041 212689 221435 230276 239210 248236 257353 266559 275852 285231 294696 304243 313874 323585 333377 343248 353197 363223 373325 383502 393753 404078
44 18213 22809 27673 32782 38120 43669 49418 55356 61473 67761 74212 80820 87579 94483 101528 108709 116021 123462 131027 138712 146516 154435 162466 170608 178856 187209 195666 204223 212879 221633 230481 239424 248458 257583 266797 276098 285486 294959 304515 314154 323875 333675 343555 353513 363548 373659 383845 394105 404439
45 18210 22805 27668 32777 38113 43662 49410 55347 61463 67750 74200 80807 87564 94467 101511 108690 116002 123441 131004 138689 146491 154409 162439 170579 178826 187178 195633 204189 212843 221595 230442 239383 248416 257539 266752 276052 285438 294909 304464 314101 323820 333619 343497 353453 363486 373595 383780 394038 404371
46 18189 22778 27635 32738 38068 43610 49351 55281 61389 67669 74111 80710 87460 94355 101390 108561 115863 123293 130848 138523 146317 154225 162245 170375 178612 186954 195399 203945 212589 221331 230167 239098 248120 257232 266433 275722 285097 294557 304100 313726 323433 333220 343087 353031 363052 373149 383322 393568 403888
47 18149 22728 27575 32667 37985 43515 49244 55161 61256 67521 73950 80535 87270 94149 101169 108325 115611 123025 130563 138222 145998 153889 161892 170004 178224 186548 194974 203501 212127 220849 229667 238577 247580 256672 265854 275122 284477 293916 303439 313044 322730 332496 342340 352263 362262 372338 382488 392712 403009
  • 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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