Blitz 100% Chart

The smallest attacker stack that conquers a territory with 100% certainty under Balanced Blitz, for every defender stack up to 300 — with the exact minimum, average and maximum troops the attack costs you. Attacker stack counts every troop on your territory, the way players call battles: a 4v1 is a 4-stack attacking a single defender. One troop always stays behind, so a stack of 4 rolls 3 troops in the blitz.

Defender stack	Attacker stack (100% win)	Min attacker loss	Avg. attacker loss	Max attacker loss	Avg. attacker troops left
1	4	0	0.1	2	2.9
2	6	0	0.9	3	4.1
3	7	0	1.5	5	4.5
4	9	0	2.4	6	5.6
5	10	1	3.2	7	5.8
6	11	1	4.0	9	6.0
7	12	1	4.8	10	6.2
8	13	2	5.6	11	6.4
9	15	2	6.5	12	7.5
10	16	3	7.4	13	7.6
11	17	4	8.2	14	7.8
12	18	4	9.0	15	8.0
13	19	5	9.9	16	8.1
14	20	5	10.7	17	8.3
15	21	6	11.6	18	8.4
16	22	6	12.4	20	8.6
17	23	7	13.2	21	8.8
18	24	8	14.0	22	9.0
19	25	8	14.9	23	9.1
20	26	9	15.7	24	9.3
21	27	10	16.5	25	9.5
22	28	10	17.4	26	9.6
23	29	11	18.3	27	9.7
24	30	12	19.1	28	9.9
25	31	12	19.9	29	10.1
26	32	13	20.8	30	10.2
27	33	14	21.6	31	10.4
28	34	14	22.5	32	10.5
29	35	15	23.3	33	10.7
30	36	16	24.1	34	10.9
31	37	16	25.0	35	11.0
32	38	17	25.9	36	11.1
33	39	18	26.7	37	11.3
34	40	18	27.5	38	11.5
35	41	19	28.4	39	11.6
36	42	20	29.2	40	11.8
37	43	20	30.1	41	11.9
38	44	21	31.0	42	12.0
39	45	22	31.8	42	12.2
40	46	22	32.6	43	12.4
41	47	23	33.5	44	12.5
42	48	24	34.3	45	12.7
43	49	25	35.1	46	12.9
44	50	25	36.0	47	13.0
45	51	26	36.9	48	13.1
46	52	27	37.7	49	13.3
47	53	27	38.6	50	13.4
48	54	28	39.4	51	13.6
49	55	29	40.3	52	13.7
50	56	30	41.1	53	13.9
51	57	30	42.0	54	14.0
52	58	31	42.8	55	14.2
53	59	32	43.7	56	14.3
54	60	32	44.5	57	14.5
55	61	33	45.4	58	14.6
56	61	34	46.1	59	13.9
57	62	35	46.9	60	14.1
58	63	35	47.8	61	14.2
59	64	36	48.7	62	14.3
60	65	37	49.5	63	14.5
61	66	37	50.4	64	14.6
62	67	38	51.2	65	14.8
63	68	39	52.1	66	14.9
64	69	40	52.9	66	15.1
65	70	40	53.8	67	15.2
66	71	41	54.7	68	15.3
67	72	42	55.5	69	15.5
68	73	43	56.3	70	15.7
69	74	43	57.2	71	15.8
70	75	44	58.1	72	15.9
71	76	45	58.9	73	16.1
72	77	46	59.7	74	16.3
73	78	46	60.6	75	16.4
74	78	47	61.4	76	15.6
75	79	48	62.2	77	15.8
76	80	49	63.1	78	15.9
77	81	49	63.9	79	16.1
78	82	50	64.8	80	16.2
79	83	51	65.7	81	16.3
80	84	52	66.5	81	16.5
81	85	52	67.4	82	16.6
82	86	53	68.2	83	16.8
83	87	54	69.1	84	16.9
84	88	55	69.9	85	17.1
85	89	55	70.8	86	17.2
86	90	56	71.6	87	17.4
87	91	57	72.5	88	17.5
88	92	58	73.3	89	17.7
89	93	58	74.2	90	17.8
90	93	59	74.9	91	17.1
91	94	60	75.8	92	17.2
92	95	61	76.6	93	17.4
93	96	61	77.5	94	17.5
94	97	62	78.4	95	17.6
95	98	63	79.2	96	17.8
96	99	64	80.1	96	17.9
97	100	64	80.9	97	18.1
98	101	65	81.8	98	18.2
99	102	66	82.6	99	18.4
100	103	67	83.5	100	18.5
101	104	67	84.3	101	18.7
102	105	68	85.2	102	18.8
103	105	69	86.0	103	18.0
104	106	70	86.8	104	18.2
105	107	70	87.7	105	18.3
106	108	71	88.6	106	18.4
107	109	72	89.4	107	18.6
108	110	73	90.3	108	18.7
109	111	73	91.1	108	18.9
110	112	74	92.0	109	19.0
111	113	75	92.8	110	19.2
112	114	76	93.7	111	19.3
113	115	76	94.5	112	19.5
114	116	77	95.4	113	19.6
115	117	78	96.3	114	19.7
116	118	79	97.1	115	19.9
117	118	80	97.8	116	19.2
118	119	80	98.7	117	19.3
119	120	81	99.6	118	19.4
120	121	82	100.4	119	19.6
121	122	83	101.3	120	19.7
122	123	83	102.2	120	19.8
123	124	84	103.0	121	20.0
124	125	85	103.9	122	20.1
125	126	86	104.7	123	20.3
126	127	86	105.6	124	20.4
127	128	87	106.4	125	20.6
128	129	88	107.3	126	20.7
129	129	89	108.1	127	19.9
130	130	90	108.9	128	20.1
131	131	90	109.8	129	20.2
132	132	91	110.6	130	20.4
133	133	92	111.5	131	20.5
134	134	93	112.3	131	20.7
135	135	93	113.2	132	20.8
136	136	94	114.1	133	20.9
137	137	95	114.9	134	21.1
138	138	96	115.8	135	21.2
139	139	96	116.6	136	21.4
140	140	97	117.5	137	21.5
141	140	98	118.2	138	20.8
142	141	99	119.1	139	20.9
143	142	100	119.9	140	21.1
144	143	100	120.8	141	21.2
145	144	101	121.7	142	21.3
146	145	102	122.6	142	21.4
147	146	103	123.4	143	21.6
148	147	103	124.2	144	21.8
149	148	104	125.1	145	21.9
150	149	105	126.0	146	22.0
151	150	106	126.8	147	22.2
152	151	107	127.7	148	22.3
153	151	107	128.4	149	21.6
154	152	108	129.3	150	21.7
155	153	109	130.2	151	21.8
156	154	110	131.0	152	22.0
157	155	110	131.9	152	22.1
158	156	111	132.8	153	22.2
159	157	112	133.6	154	22.4
160	158	113	134.5	155	22.5
161	159	114	135.3	156	22.7
162	160	114	136.2	157	22.8
163	161	115	137.0	158	23.0
164	161	116	137.8	159	22.2
165	162	117	138.6	160	22.4
166	163	117	139.5	161	22.5
167	164	118	140.4	162	22.6
168	165	119	141.2	163	22.8
169	166	120	142.1	163	22.9
170	167	121	142.9	164	23.1
171	168	121	143.8	165	23.2
172	169	122	144.7	166	23.3
173	170	123	145.5	167	23.5
174	171	124	146.4	168	23.6
175	171	124	147.1	169	22.9
176	172	125	148.0	170	23.0
177	173	126	148.9	171	23.1
178	174	127	149.7	172	23.3
179	175	128	150.6	172	23.4
180	176	128	151.4	173	23.6
181	177	129	152.3	174	23.7
182	178	130	153.2	175	23.8
183	179	131	154.0	176	24.0
184	180	131	154.8	177	24.2
185	181	132	155.7	178	24.3
186	181	133	156.5	179	23.5
187	182	134	157.3	180	23.7
188	183	135	158.2	181	23.8
189	184	135	159.1	182	23.9
190	185	136	159.9	183	24.1
191	186	137	160.8	183	24.2
192	187	138	161.6	184	24.4
193	188	139	162.5	185	24.5
194	189	139	163.3	186	24.7
195	190	140	164.2	187	24.8
196	191	141	165.1	188	24.9
197	191	142	165.8	189	24.2
198	192	142	166.7	190	24.3
199	193	143	167.6	191	24.4
200	194	144	168.4	192	24.6
201	195	145	169.3	192	24.7
202	196	146	170.1	193	24.9
203	197	146	171.0	194	25.0
204	198	147	171.9	195	25.1
205	199	148	172.7	196	25.3
206	200	149	173.6	197	25.4
207	201	150	174.4	198	25.6
208	201	150	175.2	199	24.8
209	202	151	176.1	200	24.9
210	203	152	176.9	201	25.1
211	204	153	177.8	202	25.2
212	205	153	178.6	202	25.4
213	206	154	179.5	203	25.5
214	207	155	180.4	204	25.6
215	208	156	181.2	205	25.8
216	209	157	182.1	206	25.9
217	210	157	182.9	207	26.1
218	210	158	183.7	208	25.3
219	211	159	184.6	209	25.4
220	212	160	185.4	210	25.6
221	213	161	186.3	211	25.7
222	214	161	187.1	211	25.9
223	215	162	188.0	212	26.0
224	216	163	188.9	213	26.1
225	217	164	189.7	214	26.3
226	218	164	190.5	215	26.5
227	219	165	191.4	216	26.6
228	219	166	192.2	217	25.8
229	220	167	193.0	218	26.0
230	221	168	193.9	219	26.1
231	222	168	194.8	220	26.2
232	223	169	195.6	220	26.4
233	224	170	196.5	221	26.5
234	225	171	197.4	222	26.6
235	226	172	198.2	223	26.8
236	227	172	199.1	224	26.9
237	228	173	199.9	225	27.1
238	228	174	200.7	226	26.3
239	229	175	201.6	227	26.4
240	230	176	202.4	228	26.6
241	231	176	203.3	229	26.7
242	232	177	204.2	229	26.8
243	233	178	205.0	230	27.0
244	234	179	205.9	231	27.1
245	235	180	206.7	232	27.3
246	236	180	207.6	233	27.4
247	237	181	208.5	234	27.5
248	238	182	209.3	235	27.7
249	238	183	210.0	236	27.0
250	239	183	210.9	237	27.1
251	240	184	211.8	238	27.2
252	241	185	212.7	238	27.3
253	242	186	213.5	239	27.5
254	243	187	214.4	240	27.6
255	244	187	215.2	241	27.8
256	245	188	216.1	242	27.9
257	246	189	216.9	243	28.1
258	246	190	217.7	244	27.3
259	247	191	218.6	245	27.4
260	248	191	219.4	246	27.6
261	249	192	220.3	247	27.7
262	250	193	221.2	247	27.8
263	251	194	222.0	248	28.0
264	252	195	222.9	249	28.1
265	253	195	223.7	250	28.3
266	254	196	224.6	251	28.4
267	255	197	225.5	252	28.5
268	255	198	226.2	253	27.8
269	256	199	227.0	254	28.0
270	257	199	227.9	255	28.1
271	258	200	228.8	256	28.2
272	259	201	229.7	256	28.3
273	260	202	230.5	257	28.5
274	261	203	231.4	258	28.6
275	262	203	232.2	259	28.8
276	263	204	233.1	260	28.9
277	264	205	234.0	261	29.0
278	264	206	234.7	262	28.3
279	265	207	235.6	263	28.4
280	266	207	236.4	264	28.6
281	267	208	237.3	265	28.7
282	268	209	238.2	265	28.8
283	269	210	239.0	266	29.0
284	270	211	239.9	267	29.1
285	271	211	240.7	268	29.3
286	272	212	241.6	269	29.4
287	273	213	242.5	270	29.5
288	273	214	243.2	271	28.8
289	274	215	244.1	272	28.9
290	275	215	244.9	273	29.1
291	276	216	245.8	274	29.2
292	277	217	246.7	274	29.3
293	278	218	247.5	275	29.5
294	279	218	248.4	276	29.6
295	280	219	249.2	277	29.8
296	281	220	250.1	278	29.9
297	281	221	250.9	279	29.1
298	282	222	251.7	280	29.3
299	283	222	252.6	281	29.4
300	284	223	253.5	282	29.5

Defender stack	Attacker stack (100% win)	Min attacker loss	Avg. attacker loss	Max attacker loss	Avg. attacker troops left
1	4	0	0.1	2	2.9
2	6	0	0.9	3	4.1
3	10	0	2.8	7	6.2
4	13	1	3.9	10	8.1
5	15	1	5.5	13	8.5
6	18	2	7.3	15	9.7
7	20	3	8.9	17	10.1
8	22	4	10.5	20	10.5
9	24	5	12.2	22	10.8
10	27	6	13.9	24	12.1
11	29	7	15.5	26	12.5
12	31	8	17.2	28	12.8
13	33	10	18.8	31	13.2
14	35	11	20.5	33	13.5
15	37	12	22.2	35	13.8
16	39	13	23.9	37	14.1
17	41	14	25.5	39	14.5
18	44	16	27.3	41	15.7
19	46	17	29.0	43	16.0
20	48	18	30.7	45	16.3
21	50	19	32.3	47	16.7
22	52	21	34.1	49	16.9
23	54	22	35.8	51	17.2
24	56	23	37.4	53	17.6
25	58	25	39.1	55	17.9
26	60	26	40.8	57	18.2
27	62	27	42.5	59	18.5
28	64	29	44.2	61	18.8
29	66	30	45.9	63	19.1
30	68	32	47.6	65	19.4
31	70	33	49.3	67	19.7
32	72	34	51.0	69	20.0
33	74	36	52.7	71	20.3
34	75	37	54.3	73	19.7
35	77	38	56.0	75	20.0
36	79	40	57.7	77	20.3
37	81	41	59.4	79	20.6
38	83	43	61.1	81	20.9
39	85	44	62.8	83	21.2
40	87	45	64.5	85	21.5
41	89	47	66.2	87	21.8
42	91	48	67.9	88	22.1
43	93	50	69.6	90	22.4
44	95	51	71.3	92	22.7
45	97	53	73.0	94	23.0
46	99	54	74.7	96	23.3
47	101	56	76.4	98	23.6
48	103	57	78.1	100	23.9
49	104	58	79.7	102	23.3
50	106	60	81.5	104	23.5
51	108	61	83.2	106	23.8
52	110	63	84.9	108	24.1
53	112	64	86.6	110	24.4
54	114	66	88.3	111	24.7
55	116	67	90.0	113	25.0
56	118	69	91.7	115	25.3
57	120	70	93.4	117	25.6
58	122	72	95.1	119	25.9
59	124	73	96.8	121	26.2
60	125	74	98.4	123	25.6
61	127	76	100.1	125	25.9
62	129	77	101.8	127	26.2
63	131	79	103.6	128	26.4
64	133	80	105.3	130	26.7
65	135	82	107.0	132	27.0
66	137	83	108.7	134	27.3
67	139	85	110.4	136	27.6
68	140	86	112.0	138	27.0
69	142	88	113.7	140	27.3
70	144	89	115.4	142	27.6
71	146	91	117.2	144	27.8
72	148	92	118.9	145	28.1
73	150	94	120.6	147	28.4
74	152	95	122.3	149	28.7
75	154	97	124.0	151	29.0
76	155	98	125.6	153	28.4
77	157	100	127.3	155	28.7
78	159	101	129.1	157	28.9
79	161	103	130.8	159	29.2
80	163	104	132.5	160	29.5
81	165	106	134.2	162	29.8
82	167	107	135.9	164	30.1
83	169	109	137.6	166	30.4
84	170	110	139.2	168	29.8
85	172	112	140.9	170	30.1
86	174	113	142.6	172	30.4
87	176	115	144.4	173	30.6
88	178	116	146.1	175	30.9
89	180	118	147.8	177	31.2
90	182	119	149.5	179	31.5
91	183	121	151.1	181	30.9
92	185	122	152.8	183	31.2
93	187	124	154.6	185	31.4
94	189	125	156.2	186	31.8
95	191	127	158.0	188	32.0
96	193	128	159.7	190	32.3
97	195	130	161.4	192	32.6
98	196	132	163.0	194	32.0
99	198	133	164.8	196	32.2
100	200	135	166.5	198	32.5
101	202	136	168.2	199	32.8
102	204	138	169.9	201	33.1
103	206	139	171.6	203	33.4
104	208	141	173.3	205	33.7
105	209	142	174.9	207	33.1
106	211	144	176.7	209	33.3
107	213	145	178.4	211	33.6
108	215	147	180.1	212	33.9
109	217	148	181.8	214	34.2
110	219	150	183.5	216	34.5
111	220	151	185.1	218	33.9
112	222	153	186.9	220	34.1
113	224	155	188.6	222	34.4
114	226	156	190.3	223	34.7
115	228	158	192.0	225	35.0
116	230	159	193.7	227	35.3
117	232	161	195.4	229	35.6
118	233	162	197.1	231	34.9
119	235	164	198.8	233	35.2
120	237	165	200.5	234	35.5
121	239	167	202.2	236	35.8
122	241	168	203.9	238	36.1
123	243	170	205.7	240	36.3
124	244	172	207.2	242	35.8
125	246	173	209.0	244	36.0
126	248	175	210.7	245	36.3
127	250	176	212.4	247	36.6
128	252	178	214.1	249	36.9
129	254	179	215.9	251	37.1
130	255	181	217.5	253	36.5
131	257	182	219.2	255	36.8
132	259	184	221.0	256	37.0
133	261	185	222.6	258	37.4
134	263	187	224.4	260	37.6
135	265	189	226.1	262	37.9
136	266	190	227.7	264	37.3
137	268	192	229.4	266	37.6
138	270	193	231.2	267	37.8
139	272	195	232.9	269	38.1
140	274	196	234.6	271	38.4
141	276	198	236.3	273	38.7
142	277	199	237.9	275	38.1
143	279	201	239.7	277	38.3
144	281	203	241.4	278	38.6
145	283	204	243.1	280	38.9
146	285	206	244.8	282	39.2
147	286	207	246.4	284	38.6
148	288	209	248.2	286	38.8
149	290	210	249.9	288	39.1
150	292	212	251.6	289	39.4
151	294	213	253.3	291	39.7
152	296	215	255.0	293	40.0
153	297	217	256.6	295	39.4
154	299	218	258.4	297	39.6
155	301	220	260.1	298	39.9
156	303	221	261.8	300	40.2
157	305	223	263.6	302	40.4
158	307	224	265.2	304	40.8
159	308	226	266.9	306	40.1
160	310	228	268.6	308	40.4
161	312	229	270.3	309	40.7
162	314	231	272.0	311	41.0
163	316	232	273.8	313	41.2
164	317	234	275.4	315	40.6
165	319	235	277.1	317	40.9
166	321	237	278.9	319	41.1
167	323	239	280.5	320	41.5
168	325	240	282.3	322	41.7
169	327	242	284.0	324	42.0
170	328	243	285.6	326	41.4
171	330	245	287.4	328	41.6
172	332	246	289.1	329	41.9
173	334	248	290.8	331	42.2
174	336	250	292.5	333	42.5
175	337	251	294.1	335	41.9
176	339	253	295.8	337	42.2
177	341	254	297.6	339	42.4
178	343	256	299.3	340	42.7
179	345	257	301.0	342	43.0
180	347	259	302.7	344	43.3
181	348	261	304.3	346	42.7
182	350	262	306.1	348	42.9
183	352	264	307.8	349	43.2
184	354	265	309.5	351	43.5
185	356	267	311.3	353	43.7
186	357	268	312.9	355	43.1
187	359	270	314.6	357	43.4
188	361	272	316.3	358	43.7
189	363	273	318.1	360	43.9
190	365	275	319.8	362	44.2
191	366	276	321.4	364	43.6
192	368	278	323.1	366	43.9
193	370	279	324.8	368	44.2
194	372	281	326.6	369	44.4
195	374	283	328.3	371	44.7
196	376	284	330.0	373	45.0
197	377	286	331.6	375	44.4
198	379	287	333.4	377	44.6
199	381	289	335.1	378	44.9
200	383	291	336.8	380	45.2
201	385	292	338.5	382	45.5
202	386	294	340.1	384	44.9
203	388	295	341.9	386	45.1
204	390	297	343.6	387	45.4
205	392	298	345.3	389	45.7
206	394	300	347.1	391	45.9
207	395	302	348.6	393	45.4
208	397	303	350.4	395	45.6
209	399	305	352.1	396	45.9
210	401	306	353.8	398	46.2
211	403	308	355.6	400	46.4
212	404	310	357.1	402	45.9
213	406	311	358.9	404	46.1
214	408	313	360.6	406	46.4
215	410	314	362.3	407	46.7
216	412	316	364.1	409	46.9
217	413	318	365.7	411	46.3
218	415	319	367.4	413	46.6
219	417	321	369.2	415	46.8
220	419	322	370.9	416	47.1
221	421	324	372.6	418	47.4
222	423	325	374.3	420	47.7
223	424	327	375.9	422	47.1
224	426	329	377.7	424	47.3
225	428	330	379.4	425	47.6
226	430	332	381.1	427	47.9
227	432	333	382.8	429	48.2
228	433	335	384.5	431	47.5
229	435	337	386.2	433	47.8
230	437	338	387.9	434	48.1
231	439	340	389.6	436	48.4
232	441	341	391.3	438	48.7
233	442	343	393.0	440	48.0
234	444	344	394.7	442	48.3
235	446	346	396.5	443	48.5
236	448	348	398.2	445	48.8
237	450	349	399.9	447	49.1
238	451	351	401.5	449	48.5
239	453	352	403.2	451	48.8
240	455	354	405.0	452	49.0
241	457	356	406.7	454	49.3
242	459	357	408.4	456	49.6
243	460	359	410.0	458	49.0
244	462	360	411.7	460	49.3
245	464	362	413.5	461	49.5
246	466	364	415.2	463	49.8
247	468	365	416.9	465	50.1
248	469	367	418.6	467	49.4
249	471	368	420.3	469	49.7
250	473	370	422.0	470	50.0
251	475	372	423.7	472	50.3
252	477	373	425.5	474	50.5
253	478	375	427.1	476	49.9
254	480	376	428.8	478	50.2
255	482	378	430.5	479	50.5
256	484	380	432.2	481	50.8
257	486	381	434.0	483	51.0
258	487	383	435.6	485	50.4
259	489	384	437.3	487	50.7
260	491	386	439.1	488	50.9
261	493	388	440.7	490	51.3
262	495	389	442.5	492	51.5
263	496	391	444.1	494	50.9
264	498	392	445.9	496	51.1
265	500	394	447.6	497	51.4
266	502	396	449.3	499	51.7
267	504	397	451.0	501	52.0
268	505	399	452.6	503	51.4
269	507	400	454.4	505	51.6
270	509	402	456.1	506	51.9
271	511	404	457.8	508	52.2
272	512	405	459.5	510	51.5
273	514	407	461.2	512	51.8
274	516	408	462.9	513	52.1
275	518	410	464.6	515	52.4
276	520	412	466.3	517	52.7
277	521	413	468.0	519	52.0
278	523	415	469.7	521	52.3
279	525	416	471.5	522	52.5
280	527	418	473.2	524	52.8
281	529	420	474.9	526	53.1
282	530	421	476.5	528	52.5
283	532	423	478.2	530	52.8
284	534	424	480.0	531	53.0
285	536	426	481.7	533	53.3
286	538	428	483.4	535	53.6
287	539	429	485.0	537	53.0
288	541	431	486.8	539	53.2
289	543	432	488.5	540	53.5
290	545	434	490.2	542	53.8
291	547	436	491.9	544	54.1
292	548	437	493.6	546	53.4
293	550	439	495.3	548	53.7
294	552	440	497.0	549	54.0
295	554	442	498.8	551	54.2
296	556	444	500.5	553	54.5
297	557	445	502.1	555	53.9
298	559	447	503.8	557	54.2
299	561	448	505.5	558	54.5
300	563	450	507.3	560	54.7

Why 100% attacks exist

Balanced Blitz rounds any win-or-lose chance of 5% or less to certainty, and trims the luckiest and unluckiest 10% of outcomes from the result. That means a big enough attack does not just probably win — it always wins. This chart is computed from the exact Balanced Blitz probabilities (no simulations): for each defender stack it finds the first attacking stack whose chance of defeat rounds to zero.

Notice that the attacker's edge grows with size: taking a 200-stack only needs a 194-stack (193 troops rolling), because the attacker's three dice against two compound over hundreds of rolls. On a capital the defender rolls three dice as well, and the guarantee roughly doubles in price.

Want the odds for an attack that is not in this chart? Use the Blitz Calculator for any battle up to 500v500, including the full outcome distribution. And if you are wondering what skipping the blitz slider costs you, see Full Send vs the Blitz Slider.