Difference between revisions of "NPDs"

Revision as of 19:50, 7 December 2021

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
525-600	30%
451-525	50%
400-450	20%

Defense

NPDs spawn with defense based on this formula 120 * exp(0.0058 * [Total Land]) 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 1700-2200 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).

NPD Defense
Land Size	Base Defense	Low Range (85%)	High Range (15%)
400	1221	1099-1343	1404-1465
425	1412	1271-1553	1624-1694
450	1632	1469-1795	1877-1958
475	1887	1698-2076	2170-2264
500	2181	1963-2399	2508-2617
525	2521	2269-2773	2899-3025
550	2915	2624-3207	3352-3498
575	3369	3032-3706	3874-4043
600	3895	3506-4285	4479-4674

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 between 90 over a twelve hour period. 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])^-1.5)

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
4	3353	4285	5292	6366	7504	8704	9961	11274	12639	14056	15522	17036	18596	20201	21849	23540	25273	27046	28859	30710	32600	34527	36490	38489	40524	42593	44696	46832	49002	51204	53438	55704	58001	60328	62686	65074	67492	69939	72414	74918	77450	80011	82599	85214	87856	90525	93220	95942	98689
5	5472	6994	8636	10389	12248	14205	16257	18399	20628	22940	25333	27803	30349	32968	35659	38419	41246	44140	47099	50120	53204	56349	59553	62816	66136	69513	72945	76432	79973	83567	87213	90911	94660	98458	102307	106204	110149	114142	118183	122269	126402	130581	134804	139072	143384	147740	152139	156581	161065
6	6558	8383	10350	12452	14679	17025	19484	22052	24723	27494	30362	33323	36374	39513	42738	46046	49435	52903	56449	60071	63767	67536	71376	75286	79266	83313	87427	91606	95850	100157	104527	108959	113452	118005	122617	127288	132017	136803	141645	146543	151496	156504	161566	166681	171850	177070	182342	187666	193041
7	7202	9205	11366	13674	16119	18696	21396	24216	27149	30192	33341	36592	39943	43390	46931	50564	54285	58094	61988	65965	70023	74162	78379	82673	87043	91487	96005	100594	105254	109985	114783	119650	124584	129584	134648	139777	144970	150226	155543	160922	166361	171860	177419	183036	188711	194444	200234	206080	211982
8	7630	9753	12043	14488	17079	19808	22670	25657	28765	31989	35325	38770	42321	45973	49725	53573	57516	61552	65677	69891	74191	78576	83045	87594	92224	96933	101719	106582	111520	116531	121616	126772	132000	137297	142663	148098	153599	159168	164801	170500	176263	182090	187979	193931	199944	206018	212152	218346	224600
9	7947	10157	12542	15088	17787	20630	23609	26720	29957	33315	36790	40377	44075	47878	51786	55794	59900	64103	68400	72788	77267	81833	86487	91225	96047	100951	105936	111000	116142	121361	126657	132027	137471	142988	148576	154236	159966	165765	171632	177567	183569	189638	195771	201969	208232	214557	220946	227397	233909
10	8201	10483	12944	15572	18357	21291	24367	27577	30918	34384	37970	41672	45488	49414	53447	57583	61822	66159	70593	75123	79745	84458	89261	94151	99128	104189	109333	114560	119867	125254	130719	136261	141880	147574	153342	159183	165097	171082	177137	183263	189457	195720	202050	208447	214910	221439	228033	234690	241411
11	8422	10765	13293	15991	18852	21865	25023	28320	31751	35310	38992	42795	46713	50745	54886	59134	63487	67941	72495	77146	81892	86733	91665	96687	101797	106995	112278	117645	123095	128627	134239	139931	145701	151548	157471	163470	169543	175689	181908	188198	194559	200991	207492	214061	220698	227403	234174	241011	247913
12	8625	11024	13612	16376	19305	22390	25624	29001	32514	36158	39929	43823	47836	51964	56205	60555	65012	69574	74237	79000	83861	88817	93867	99010	104244	109566	114976	120472	126054	131718	137466	143294	149203	155190	161256	167399	173617	179911	186279	192721	199235	205821	212478	219205	226002	232868	239801	246803	253871
13	8818	11271	13917	16742	19737	22891	26198	29650	33242	36968	40823	44805	48907	53128	57464	61911	66468	71132	75899	80769	85738	90806	95969	101227	106578	112020	117551	123170	128876	134668	140544	146503	152544	158665	164867	171147	177505	183940	190451	197037	203697	210430	217236	224114	231063	238082	245171	252329	259556
14	9007	11513	14216	17102	20161	23383	26761	30287	33956	37762	41700	45767	49958	54269	58698	63241	67896	72660	77530	82504	87580	92757	98031	103402	108867	114426	120076	125816	131645	137561	143563	149650	155821	162074	168409	174824	181318	187891	194542	201269	208072	214951	221903	228928	236027	243197	250438	257750	265131
15	9196	11755	14514	17461	20584	23874	27323	30923	34669	38555	42576	46728	51007	55409	59931	64569	69322	74185	79158	84236	89419	94704	100090	105573	111153	116829	122597	128458	134409	140449	146578	152792	159093	165477	171945	178495	185126	191837	198627	205496	212442	219464	226562	233736	240983	248304	255697	263162	270699
16	9387	11999	14816	17824	21012	24370	27890	31565	35389	39355	43460	47698	52066	56559	61175	65910	70761	75726	80801	85985	91276	96671	102168	107765	113461	119254	125143	131125	137200	143365	149621	155965	162396	168913	175515	182201	188969	195820	202751	209762	216852	224021	231266	238588	245986	253459	261006	268626	276319
17	9581	12247	15122	18192	21446	24873	28466	32217	36120	40168	44358	48684	53142	57728	62439	67272	72223	77290	82471	87762	93162	98668	104278	109992	115805	121718	127728	133834	140034	146327	152712	159187	165751	172403	179141	185965	192873	199865	206940	214096	221333	228649	236044	243518	251068	258695	266398	274176	282028
18	9779	12499	15434	18567	21888	25386	29053	32882	36865	40997	45273	49688	54237	58918	63726	68659	73712	78884	84171	89571	95083	100702	106429	112260	118193	124228	130362	136594	142922	149345	155861	162469	169169	175958	182835	189800	196851	203987	211207	218511	225897	233364	240912	248539	256245	264030	271891	279829	287843
19	9980	12757	15751	18950	22339	25909	29652	33559	37624	41841	46205	50711	55354	60132	65039	70073	75230	80509	85905	91416	97041	102776	108621	114572	120628	126787	133047	139407	145866	152421	159071	165816	172653	179582	186601	193709	200905	208188	215557	223011	230549	238170	245873	253658	261523	269468	277491	285593	293772
20	10185	13019	16075	19339	22798	26442	30261	34249	38397	42701	47155	51753	56492	61368	66376	71513	76777	82163	87670	93295	99036	104889	110853	116927	123107	129393	135782	142273	148864	155554	162341	169224	176202	183273	190436	197690	205034	212467	219988	227595	235288	243066	250927	258872	266899	275007	283195	291463	299810
21	10394	13285	16404	19735	23265	26983	30881	34950	39183	43575	48120	52813	57649	62624	67735	72977	78349	83846	89465	95205	101063	107036	113123	119321	125628	132042	138562	145185	151912	158738	165665	172689	179809	187025	194335	201738	209232	216817	224492	232255	240105	248042	256065	264172	272363	280637	288993	297431	305949
22	10605	13556	16738	20136	23738	27532	31509	35661	39980	44462	49099	53887	58821	63898	69112	74462	79942	85551	91285	97142	103119	109213	115424	121747	128183	134727	141380	148138	155001	161967	169034	176201	183466	190829	198288	205841	213488	221227	229058	236978	244989	253087	261273	269545	277902	286345	294871	303480	312171
23	10819	13829	17075	20542	24216	28086	32143	36379	40785	45357	50088	54972	60006	65184	70504	75961	81552	87274	93123	99098	105195	111413	117748	124199	130764	137440	144227	151121	158122	165228	172438	179749	187161	194671	202280	209986	217787	225682	233670	241750	249922	258183	266534	274972	283498	292110	300808	309591	318457
24	11034	14103	17414	20950	24697	28644	32782	37101	41595	46258	51082	56064	61198	66479	71904	77470	83172	89007	94973	101066	107284	113625	120086	126666	133361	140170	147091	154123	161263	168510	175862	183319	190878	198538	206298	214156	222112	230164	238311	246552	254885	263311	271827	280434	289129	297912	306783	315739	324782
25	11249	14378	17754	21358	25179	29203	33421	37825	42407	47160	52079	57157	62391	67776	73307	78981	84794	90743	96825	103037	109377	115842	122429	129136	135962	142904	149960	157129	164408	171797	179293	186895	194601	202411	210322	218334	226445	234654	242959	251361	259857	268447	277130	285904	294769	303723	312767	321898	331117
26	11464	14653	18092	21766	25659	29760	34058	38546	43216	48059	53072	58248	63581	69068	74705	80487	86411	92474	98672	105002	111463	118051	124764	131599	138555	145629	152820	160126	167544	175073	182712	190459	198312	206271	214333	222497	230763	239129	247593	256155	264813	273567	282415	291356	300390	309516	318732	328037	337432
27	11676	14924	18428	22170	26135	30312	34690	39261	44017	48951	54056	59328	64761	70350	76091	81980	88014	94189	100502	106950	113531	120241	127078	134040	141125	148331	155655	163096	170652	178321	186102	193992	201991	210097	218309	226625	235044	243565	252186	260907	269726	278642	287654	296761	305963	315257	324644	334123	343691
28	11886	15192	18759	22567	26604	30856	35313	39966	44807	49830	55027	60393	65923	71612	77457	83452	89594	95880	102306	108870	115568	122399	129359	136446	143658	150993	158449	166023	173715	181521	189442	197474	205617	213868	222227	230692	239263	247936	256712	265589	274567	283643	292817	302088	311454	320916	330471	340120	349860
29	12091	15455	19083	22957	27063	31388	35922	40656	45581	50690	55977	61435	67061	72849	78794	84892	91140	97535	104072	110749	117563	124512	131592	138802	146138	153600	161184	168889	176713	184655	192712	200883	209166	217560	226063	234675	243393	252216	261144	270174	279306	288539	297871	307302	316831	326455	336176	345991	355899
30	12290	15709	19397	23336	27510	31906	36515	41327	46333	51526	56900	62449	68167	74050	80093	86292	92644	99144	105789	112576	119503	126566	133763	141091	148549	156133	163843	171675	179628	187701	195891	204196	212616	221149	229792	238546	247408	256377	265451	274631	283913	293299	302785	312371	322057	331840	341721	351698	361770
31	12483	15955	19701	23701	27940	32406	37086	41973	47058	52332	57790	63426	69234	75209	81347	87643	94094	100695	107444	114338	121373	128547	135856	143299	150874	158577	166407	174362	182440	190639	198957	207392	215944	224610	233389	242279	251280	260389	269606	278929	288357	297889	307524	317260	327097	337034	347069	357202	367432
32	12667	16190	19991	24050	28352	32883	37633	42592	47751	53103	58642	64361	70254	76317	82545	88934	95480	102179	109027	116023	123161	130441	137858	145411	153097	160913	168859	176931	185128	193447	201888	210448	219126	227919	236827	245849	254982	264226	273578	283038	292605	302278	312055	321935	331917	342000	352183	362465	372846
33	12841	16413	20266	24381	28741	33335	38150	43177	48407	53833	59448	65245	71220	77366	83680	90157	96793	103583	110526	117618	124854	132234	139753	147410	155201	163125	171180	179363	187673	196107	204663	213341	222138	231052	240083	249229	258487	267858	277339	286929	296628	306433	316344	326360	336479	346701	357024	367448	377971
34	13004	16621	20523	24690	29106	33758	38635	43725	49022	54517	60203	66074	72124	78349	84743	91302	98022	104899	111930	119111	126440	133913	141527	149281	157172	165197	173354	181641	190056	198597	207262	216050	224958	233986	243131	252393	261769	271259	280860	290573	300394	310324	320361	330504	340752	351103	361558	372114	382770
35	13155	16814	20761	24976	29444	34150	39082	44232	49590	55149	60901	66840	72960	79257	85725	92360	99158	106115	113227	120492	127905	135465	143168	151012	158994	167112	175363	183746	192259	200899	209664	218554	227566	236698	245950	255319	264803	274403	284116	293941	303876	313921	324074	334335	344701	355173	365748	376427	387207
36	13292	16989	20978	25237	29751	34506	39490	44694	50108	55724	61536	67537	73722	80084	86619	93324	100192	107222	114409	121749	129240	136879	144662	152588	160653	168855	177193	185664	194265	202995	211852	220835	229941	239168	248516	257983	267567	277267	287081	297008	307047	317197	327456	337824	348299	358879	369565	380355	391248
37	13415	17146	21172	25470	30026	34825	39855	45107	50571	56239	62105	68161	74403	80824	87420	94186	101118	108212	115465	122874	130434	138143	145998	153997	162137	170415	178830	187379	196059	204870	213809	222875	232065	241378	250812	260366	270039	279828	289733	299752	309884	320127	330481	340945	351516	362195	372979	383869	394862
38	13522	17284	21341	25674	30266	35104	40174	45468	50976	56689	62602	68707	74998	81471	88119	94940	101927	109079	116390	123857	131478	139249	147167	155230	163435	171780	180262	188879	197629	206510	215521	224659	233922	243310	252820	262450	272200	282068	292052	302151	312364	322690	333127	343674	354330	365094	375965	386942	398023
39	13613	17400	21485	25847	30470	35340	40445	45775	51319	57072	63024	69170	75504	82020	88714	95580	102615	109815	117175	124693	132365	140188	148160	156277	164538	172938	181478	190153	198962	207904	216975	226175	235501	244952	254526	264221	274037	283971	294023	304190	314472	324867	335374	345993	356721	367557	378502	389552	400708
40	13688	17495	21603	25989	30637	35534	40666	46025	51600	57384	63369	69549	75917	82469	89199	96103	103177	110415	117816	125375	133089	140955	148971	157132	165438	173885	182471	191193	200051	209041	218162	227412	236789	246292	255918	265667	275536	285525	295631	305854	316192	326644	337209	347886	358672	369568	380572	391683	402901
41	13745	17569	21693	26098	30765	35682	40837	46218	51816	57624	63634	69840	76235	82814	89573	96505	103608	110877	118309	125900	133646	141545	149594	157790	166130	174612	183234	191993	200888	209916	219075	228364	237780	247322	256989	266778	276689	286719	296868	307134	317515	328011	338620	349341	360173	371115	382165	393322	404587
42	13785	17620	21756	26173	30854	35786	40955	46351	51966	57791	63819	70042	76456	83054	89832	96785	103908	111199	118652	126264	134033	141955	150027	158247	166611	175118	183765	192550	201470	210524	219710	229025	238469	248039	257733	267551	277490	287550	297728	308024	318435	328961	339601	350353	361216	372190	383272	394462	405758
43	13807	17648	21791	26215	30904	35844	41021	46426	52050	57884	63922	70155	76579	83188	89977	96941	104076	111378	118843	126468	134250	142184	150270	158502	166880	175401	184062	192860	201795	210864	220064	229395	238854	248439	258150	267983	277939	288014	298209	308521	318949	329493	340150	350919	361800	372791	383891	395099	406414
44	13812	17654	21799	26224	30915	35856	41035	46442	52068	57904	63944	70180	76606	83217	90008	96975	104112	111417	118885	126512	134296	142234	150322	158557	166938	175462	184125	192927	201865	210937	220141	229475	238937	248525	258239	268076	278035	288114	298312	308628	319060	329607	340268	351041	361925	372920	384024	395236	406555
45	13799	17638	21779	26201	30887	35824	40998	46401	52021	57852	63886	70116	76537	83142	89927	96887	104019	111317	118778	126398	134175	142106	150186	158415	166788	175304	183960	192754	201683	210747	219942	229268	238721	248302	258007	267835	277785	287855	298044	308350	318773	329310	339961	350725	361599	372584	383678	394880	406189
46	13770	17601	21733	26145	30822	35748	40911	46302	51911	57730	63751	69968	76374	82966	89736	96682	103798	111080	118526	126130	133891	141804	149868	158079	166434	174932	183569	192345	201256	210300	219476	228782	238215	247775	257459	267267	277195	287244	297411	307696	318097	328612	339240	349981	360832	371794	382864	394042	405327
47	13725	17543	21661	26059	30720	35629	40776	46149	51739	57539	63540	69736	76122	82691	89440	96362	103455	110713	118133	125713	133448	141335	149372	157555	165883	174353	182962	191708	200590	209604	218750	228025	237427	246955	256607	266382	276278	286294	296427	306678	317044	327524	338118	348823	359638	370564	381597	392738	403986
48	13663	17464	21564	25943	30583	35471	40594	45943	51509	57282	63256	69425	75782	82323	89041	95932	102993	110219	117607	125152	132853	140705	148706	156853	165144	173576	182146	190854	199695	208670	217775	227008	236368	245854	255463	265195	275047	285017	295106	305311	315631	326064	336610	347268	358035	368912	379896	390988	402185
49	13587	17367	21444	25798	30413	35273	40368	45688	51222	56963	62904	69039	75361	81865	88545	95399	102420	109606	116952	124456	132113	139922	147878	155980	164225	172610	181133	189792	198584	207509	216563	225745	235053	244486	254042	263719	273516	283431	293464	303612	313874	324250	334737	345335	356043	366859	377782	388812	399947
50	13497	17252	21302	25627	30211	35039	40101	45385	50883	56586	62488	68581	74861	81322	87959	94767	101742	108880	116178	123631	131238	138995	146899	154947	163137	171466	179933	188534	197269	206134	215128	224249	233496	242866	252359	261972	271704	281554	291519	301600	311795	322101	332519	343047	353684	364428	375279	386236	397297

Highlighted cells are the land size at which the expected land multiplier is equal to 1 (closest to base DP formula)

@@ Line 44: / Line 44: @@
 |}
-Attacking bots gives you normal [[prestige]] gains as human targets for four attacks. Starting with the 5th your prestige gain will dip by 5% each successive hit, but will always give you 50% of the normal prestige.
+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==