NPDs

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	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)