Game Engine - Warrior XP

Warriors can be trained by using Experience to level them up.

Each warrior has an initial need for experience (5 to 12 for rarity 1 to 8). This need increases roughly by 1 every 10 level. The first increase is surprisingly at level 7, and there are further exceptions from this rule - the dark grey cells in the table below are placed where a need has increased (not certain for rarity 8 - maybe the 9-equal-need exception occurs at level 97-105 instead of 67-75)

When advancing with books (xp in multiples of 10), some levels are unreachable, as a book advances the warrior by two levels at once.

The table below provides the calculated total XP amount for a warrior with a rarity. Together with the Warrior Cards, this may be used to compute a "best A/D increase per XP" ratio for your current warriors - to decide which one to advance first (modified by which 5 to 10 of your warriors are your attack/defense leaders).

Warrior total XP by level and rarity
Level	Rarity
Level	1	2	3	4	5	6	7	8	9
1	0	0	0	0	0	0	0	0	0
2	5	6	7	8	9	10	11	12	13
3	10	12	14	16	18	20	22	24	26
4	15	18	21	24	27	30	33	36	39
5	20	24	28	32	36	40	44	48	52
6	25	30	35	40	45	50	55	60	66
7	31	37	43	49	55	61	67	73	80
8	37	44	51	58	65	72	79	86	94
9	43	51	59	67	75	83	91	99	108
10	49	58	67	76	85	94	103	112	122
11	55	65	75	85	95	105	115	125
12	61	72	83	94	105	116	127	138
13	67	79	91	103	115	127	139	151
14	73	86	99	112	125	138	151	164
15	79	93	107	121	135	149	163	177
16	85	100	115	130	145	160	175	190
17	92	108	124	140	156	172	188	204
18	99	116	133	150	167	184	201	218
19	106	124	142	160	178	196	214	232
20	113	132	151	170	189	208	227	246
21	120	140	160	180	200	220	240	260
22	127	148	169	190	211	232	253	274
23	134	156	178	200	222	244	266	288
24	141	164	187	210	233	256	279	302
25	148	172	196	220	244	268	292	316
26	155	180	205	230	255	280	305	330
27	163	189	215	241	267	293	319	345
28	171	198	225	252	279	306	333	360
29	179	207	235	263	291	319	347	375
30	187	216	245	274	303	332	361	390	430
31	195	225	255	285	315	345	375	405
32	203	234	265	296	327	358	389	420
33	211	243	275	307	339	371	403	435
34	219	252	285	318	351	384	417	450
35	227	261	295	329	363	397	431	465
36	235	270	305	340	375	410	445	480
37	244	280	316	352	388	424	460	496
38	253	290	327	364	401	438	475	512
39	262	300	338	376	414	452	490	528
40	271	310	349	388	427	466	505	544
41	280	320	360	400	440	480	520	560
42	289	330	371	412	453	494	535	576
43	298	340	382	424	466	508	550	592
44	307	350	393	436	479	522	565	608
45	316	360	404	448	492	536	580	624
46	325	370	415	460	505	550	595	640
47	335	381	427	473	519	565	611	657
48	345	392	439	486	533	580	627	674
49	355	403	451	499	547	595	643	691	771
50	365	414	463	512	561	610	659	708	790
51	375	425	475	525	575	625	675	725
52	385	436	487	538	589	640	691	742
53	395	447	499	551	603	655	707	759
54	405	458	511	564	617	670	723	776
55	415	469	523	577	631	685	739	793
56	426	481	536	591	646	700	755	810
57	437	493	549	605	661	716	772	828
58	448	505	562	619	676	732	789	846
59	459	517	575	633	691	748	806	864
60	470	529	588	647	706	764	823	882
61	481	541	601	661	721	780	840	900
62	492	553	614	675	736	796	857	918
63	503	565	627	689	751	812	874	936
64	514	577	640	703	766	828	891	954
65	525	589	653	717	781	844	908	972
66	537	602	667	732	797	860	925	990
67	549	615	681	747	813	877	943	1009
68	561	628	695	762	829	894	961	1028
69	573	641	709	777	845	911	979	1047	1182
70	585	654	723	792	861	928	997	1066	1204
71	597	667	737	807	877	945	1015	1085
72	609	680	751	822	893	962	1033	1104
73	621	693	765	837	909	979	1051	1123
74	633	706	779	852	925	996	1069	1142
75	645	719	793	867	941	1013	1087	1161
76	658	733	808	883	958	1031	1106	1180
77	671	747	823	899	975	1049	1125	1200
78	684	761	838	915	992	1067	1144	1220
79	697	775	853	931	1009	1085	1163	1240	1407
80	710	789	868	947	1026	1103	1182	1260	1430
81	723	803	883	963	1043	1121	1201	1280
82	736	817	898	979	1060	1139	1220	1300
83	749	831	913	995	1077	1157	1239	1320
84	762	845	928	1011	1094	1175	1258	1340
85	775	859	943	1027	1111	1193	1277	1360
86	789	874	959	1044	1129	1212	1297	1380
87	803	889	975	1061	1147	1231	1317	1401
88	817	904	991	1078	1165	1250	1337	1422
89	831	919	1007	1095	1183	1269	1357	1443
90	845	934	1023	1112	1201	1288	1377	1464
91	859	949	1039	1129	1219	1307	1397	1485
92	873	964	1055	1146	1237	1326	1417	1506
93	887	979	1071	1163	1255	1345	1437	1527
94	901	994	1087	1180	1273	1364	1457	1548
95	915	1009	1103	1197	1291	1383	1477	1569
96	930	1025	1120	1215	1310	1403	1498	1590
97	945	1041	1137	1233	1329	1423	1519	1612
98	960	1057	1154	1251	1348	1443	1540	1634
99	975	1073	1171	1269	1367	1463	1561	1656	1896
100	990	1089	1188	1287	1386	1483	1582	1678	1922
101	-	-	-	-	-	1503	1603	1700
102	-	-	-	-	-	1523	1624	1722
103	-	-	-	-	-	1543	1645	1744
104	-	-	-	-	-	1563	1666	1766
105	-	-	-	-	-	1583	1687	1788
106	-	-	-	-	-	1604	1709	1811
107	-	-	-	-	-	1625	1731	1834
108	-	-	-	-	-	1646	1753	1857
109	-	-	-	-	-	1667	1775	1880	2160
110	-	-	-	-	-	1688	1797	1903	2187
111	-	-	-	-	-	1709	1819	1926
112	-	-	-	-	-	1730	1841	1949
113	-	-	-	-	-	1751	1863	1972
114	-	-	-	-	-	1772	1885	1995
115	-	-	-	-	-	1793	1907	2018
116	-	-	-	-	-	1815	1930	2042
117	-	-	-	-	-	1837	1953	2066
118	-	-	-	-	-	1859	1976	2090
119	-	-	-	-	-	1881	1999	2114
120	-	-	-	-	-	1903	2022	2138
121	-	-	-	-	-	1925	2045	2162
122	-	-	-	-	-	1947	2068	2186
123	-	-	-	-	-	1969	2091	2210
124	-	-	-	-	-	1991	2114	2234
125	-	-	-	-	-	2013	2137	2258
126	-	-	-	-	-	2036	2161	2283
127	-	-	-	-	-	2059	2185	2308
128	-	-	-	-	-	2082	2209	2333
129	-	-	-	-	-	2105	2233	2358
130	-	-	-	-	-	2128	2257	2383
131	-	-	-	-	-	2151	2281	2408
132	-	-	-	-	-	2174	2305	2433
133	-	-	-	-	-	2197	2329	2458
134	-	-	-	-	-	2220	2353	2483
135	-	-	-	-	-	2243	2377	2508
136	-	-	-	-	-	2267	2402	2534
137	-	-	-	-	-	2291	2427	2560
138	-	-	-	-	-	2315	2452	2586
139	-	-	-	-	-	2339	2477	2612
140	-	-	-	-	-	2363	2502	2638
141	-	-	-	-	-	2387	2527	2664
142	-	-	-	-	-	2411	2552	2690
143	-	-	-	-	-	2435	2577	2716
144	-	-	-	-	-	2459	2602	2742
145	-	-	-	-	-	2483	2627	2768
146	-	-	-	-	-	2508	2653	2795
147	-	-	-	-	-	2533	2679	2822
148	-	-	-	-	-	2558	2705	2849
149	-	-	-	-	-	2583	2731	2876	3347
150	-	-	-	-	-	2608	2757	2903	3379
151	-	-	-	-	-	-	-	2930
152	-	-	-	-	-	-	-	2957
153	-	-	-	-	-	-	-	2984
154	-	-	-	-	-	-	-	3011
155	-	-	-	-	-	-	-	3038
156	-	-	-	-	-	-	-	3066
157	-	-	-	-	-	-	-	3094
158	-	-	-	-	-	-	-	3122
159	-	-	-	-	-	-	-	3150
160	-	-	-	-	-	-	-	3178
161	-	-	-	-	-	-	-	3206
162	-	-	-	-	-	-	-	3234
163	-	-	-	-	-	-	-	3262
164	-	-	-	-	-	-	-	3290
165	-	-	-	-	-	-	-	3318
166	-	-	-	-	-	-	-	3347
167	-	-	-	-	-	-	-	3376
168	-	-	-	-	-	-	-	3405
169	-	-	-	-	-	-	-	3434
170	-	-	-	-	-	-	-	3463
171	-	-	-	-	-	-	-	3492
172	-	-	-	-	-	-	-	3521
173	-	-	-	-	-	-	-	3550
174	-	-	-	-	-	-	-	3579
175	-	-	-	-	-	-	-	3608
176	-	-	-	-	-	-	-	3638
177	-	-	-	-	-	-	-	3668
178	-	-	-	-	-	-	-	3698
179	-	-	-	-	-	-	-	3728
180	-	-	-	-	-	-	-	3758	4412
181	-	-	-	-	-	-	-	3788
182	-	-	-	-	-	-	-	3818
183	-	-	-	-	-	-	-	3848
184	-	-	-	-	-	-	-	3878
185	-	-	-	-	-	-	-	3908
186	-	-	-	-	-	-	-	3939
187	-	-	-	-	-	-	-	3970
188	-	-	-	-	-	-	-	4001
189	-	-	-	-	-	-	-	4032
190	-	-	-	-	-	-	-	4063
191	-	-	-	-	-	-	-	4094
192	-	-	-	-	-	-	-	4125
193	-	-	-	-	-	-	-	4156
194	-	-	-	-	-	-	-	4187
195	-	-	-	-	-	-	-	4218
196	-	-	-	-	-	-	-	4250
197	-	-	-	-	-	-	-	4282
198	-	-	-	-	-	-	-	4314
199	-	-	-	-	-	-	-	4346
200	-	-	-	-	-	-	-	4378	5166
...	-	-	-	-	-	-	-	-	...
220	-	-	-	-	-	-	-	-	5971
221	-	-	-	-	-	-	-	-	6013
...	-	-	-	-	-	-	-	-	...
250	-	-	-	-	-	-	-	-	7277
251	-	-	-	-	-	-	-	-	7323
...	-	-	-	-	-	-	-	-	...
279	-	-	-	-	-	-	-	-	8653
280	-	-	-	-	-	-	-	-	8702
...	-	-	-	-	-	-	-	-	...
299	-	-	-	-	-	-	-	-	9666
300	-	-	-	-	-	-	-	-	9718

(Wiki table source code) Calculation program:

 #!/usr/bin/env ruby
 
 def more(level, rarity)
   change =
       case
       when rarity < 6
         56
       when rarity < 8
         76
       else
         106
       end
   offset =
     if level < change
       (level + 3) / 10
     else
       (level + 4) / 10
     end
 end
 
 def max_level(rarity)
   case
   when rarity < 6
     100
   when rarity < 8
     150
   else
     200
   end
 end
 
 min_rarity = 1
 max_rarity = 8
 rarity_to_xp = 4
 last_level = max_level(max_rarity)
 
 xp = [[0] * last_level] * min_rarity
 dxp = [0] * min_rarity
 
 (min_rarity..max_rarity).each do |rarity|
   start_dxp = rarity + rarity_to_xp
   xpr = (2..last_level).inject([0]) do |memo, level|
     memo << (memo.last + start_dxp + more(level, rarity))
   end
   xp << xpr
   dxp << 0
 end
 
 xp.transpose.each_with_index do |xpsum, index|
   level = index + 1
   puts "|-\n|#{level}"
   (min_rarity..max_rarity).each do |rarity|
     if level > max_level(rarity)
       puts "| -"
     else
       m = more(level, rarity)
       cell_type =
           if dxp[rarity] < m
             dxp[rarity] = m
             "!"
           else
             "|"
           end
       puts "#{cell_type} style=\"text-align:center;\"|#{xpsum[rarity]}"
     end
   end
 end

There are some helpful rules, how you can determine even for a high level monster, which base xp class it has:

rarity + 4 (rule of thumb at least for rarity 1 - 7)
From the change in "to go" when you level up:
- Level 30: to go 3
- Level 31: to go 5
- (you had to put in only 1x 10 XP)
- (both levels have equal xp requirements)
- => the difference in to go is what is missing as required XP for the next level up
- => Level 31 takes 10 + 5 - 3 = 12 XP
- => it's a base 9 warrior
From the combination of % and to go
- After level up to 30: 45% (system rounds up)
- At level 30: to go 5
- => 5 equals 55%
- => level up to 31 requires 5 * 100/ 55 = 9 XP
- => it's a base 6 warrior
From the to go and a lookup into the table
- At level 29: to go 3
- => the warrior has always n * 10 XP
- => the required XP is n * 10 + 3 XP ("ends with digit 3")
- => the only matching required XP for the next level(!) is 303
- => it's a base 9 warrior

Game Engine - Warrior XP

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