Difference between revisions of "NPDs"

Revision as of 03:29, 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

Attacking bots gives you normal prestige gains as human targets for four attacks. Starting with the 5th your prestige gain will dip by 10% each successive hit, but will always give you at least 50% of the normal prestige.

Behavior

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)

@@ Line 16: / Line 16: @@
 ==Defense==
-NPDs spawn with defense based on this formula <code>45.8 * exp(0.0075 * [Total Land])</code> below 525 acres and this formula <code>710 * exp(0.003 * [Total Land])</code> at 525 acres and above, 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.
 Every NPD will have an additional 1000-1700 defense incoming during the first 12 hours.