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Wish

This page details the full effects of rolls invested into $boostwish.

Effects[]

Along with the added $wishlist chance, each roll invested grants +10% $firstwish chance.

Rolls invested Added $wl spawn Total $wl spawn Total $fw spawn Total $fw spawn
(incl. $wl spawn)
1 +20% +20% +10% +30%
2 +20% +40% +20% +60%
3 +20% +60% +30% +90%
4 +20% +80% +40% +120%
5 +20% +100% +50% +150%
6 +15% +115% +60% +175%
7 +15% +130% +70% +200%
8 +15% +145% +80% +225%
9 +15% +160% +90% +250%
10 +15% +175% +100% +275%
11 +15% +190% +110% +300%
12 +15% +205% +120% +325%
13 +15% +220% +130% +350%
14 +15% +235% +140% +375%
15 +15% +250% +150% +400%
16 +10% +260% +160% +420%
17 +10% +270% +170% +440%
18 +10% +280% +180% +460%
19 +10% +290% +190% +480%
20 +10% +300% +200% +500%
21 +10% +310% +210% +520%
22 +10% +320% +220% +540%
23 +10% +330% +230% +560%
24 +10% +340% +240% +580%
25 +10% +350% +250% +600%
26 +10% +360% +260% +620%
27 +10% +370% +270% +640%
28 +10% +380% +280% +660%
29 +10% +390% +290% +680%
30 +10% +400% +300% +700%
31 +10% +410% +310% +720%
32 +10% +420% +320% +740%
33 +10% +430% +330% +760%
34 +10% +440% +340% +780%
35 +10% +450% +350% +800%
36 +10% +460% +360% +820%
37 +10% +470% +370% +840%
38 +10% +480% +380% +860%
39 +10% +490% +390% +880%
40 +10% +500% +400% +900%
41 +10% +510% +410% +920%
42 +10% +520% +420% +940%
43 +10% +530% +430% +960%
44 +10% +540% +440% +980%
45 +10% +550% +450% +1000%
46 +10% +560% +460% +1020%
47 +10% +570% +470% +1040%
48 +10% +580% +480% +1060%
49 +10% +590% +490% +1080%
50 +10% +600% +500% +1100%
51 +10% +610% +510% +1120%
52 +10% +620% +520% +1140%
53 +10% +630% +530% +1160%
54 +10% +640% +540% +1180%
55 +10% +650% +550% +1200%
56 +10% +660% +560% +1220%
57 +10% +670% +570% +1240%
58 +10% +680% +580% +1260%
59 +10% +690% +590% +1280%
60 +10% +700% +600% +1300%
61 +10% +710% +610% +1320%
62 +10% +720% +620% +1340%
63 +10% +730% +630% +1360%
64 +10% +740% +640% +1380%
65 +10% +750% +650% +1400%
66 +10% +760% +660% +1420%
67 +10% +770% +670% +1440%
68 +10% +780% +680% +1460%
69 +10% +790% +690% +1480%
70 +10% +800% +700% +1500%
71 +10% +810% +710% +1520%
72 +10% +820% +720% +1540%
73 +10% +830% +730% +1560%
74 +10% +840% +740% +1580%
75 +10% +850% +750% +1600%
76 +10% +860% +760% +1620%
77 +10% +870% +770% +1640%
78 +10% +880% +780% +1660%
79 +10% +890% +790% +1680%
80 +10% +900% +800% +1700%
81 +10% +910% +810% +1720%
82 +10% +920% +820% +1740%
83 +10% +930% +830% +1760%
84 +10% +940% +840% +1780%
85 +10% +950% +850% +1800%
86 +10% +960% +860% +1820%
87 +10% +970% +870% +1840%
88 +10% +980% +880% +1860%
89 +10% +990% +890% +1880%
90 +10% +1000% +900% +1900%
91 +10% +1010% +910% +1920%
92 +10% +1020% +920% +1940%
93 +10% +1030% +930% +1960%
94 +10% +1040% +940% +1980%
95 +10% +1050% +950% +2000%
96 +10% +1060% +960% +2020%
97 +10% +1070% +970% +2040%
98 +10% +1080% +980% +2060%
99 +10% +1090% +990% +2080%
100 +10% +1100% +1000% +2100%
101 +10% +1110% +1010% +2120%
102 +10% +1120% +1020% +2140%
103 +10% +1130% +1030% +2160%
104 +10% +1140% +1040% +2180%
105 +10% +1150% +1050% +2200%
106 +10% +1160% +1060% +2220%
107 +10% +1170% +1070% +2240%
108 +10% +1180% +1080% +2260%
109 +10% +1190% +1090% +2280%
110 +10% +1200% +1100% +2300%
111 +10% +1210% +1110% +2320%
112 +10% +1220% +1120% +2340%
113 +10% +1230% +1130% +2360%
114 +10% +1240% +1140% +2380%
115 +10% +1250% +1150% +2400%
116 +10% +1260% +1160% +2420%
117 +10% +1270% +1170% +2440%
118 +10% +1280% +1180% +2460%
119 +10% +1290% +1190% +2480%
120 +10% +1300% +1200% +2500%
121 +10% +1310% +1210% +2520%
122 +10% +1320% +1220% +2540%
123 +10% +1330% +1230% +2560%
124 +10% +1340% +1240% +2580%
125 +10% +1350% +1250% +2600%
126 +10% +1360% +1260% +2620%
127 +10% +1370% +1270% +2640%
128 +10% +1380% +1280% +2660%
129 +10% +1390% +1290% +2680%
130 +10% +1400% +1300% +2700%
131 +10% +1410% +1310% +2720%
132 +10% +1420% +1320% +2740%
133 +10% +1430% +1330% +2760%
134 +10% +1440% +1340% +2780%
135 +10% +1450% +1350% +2800%
136 +10% +1460% +1360% +2820%
137 +10% +1470% +1370% +2840%
138 +10% +1480% +1380% +2860%
139 +10% +1490% +1390% +2880%
140 +10% +1500% +1400% +2900%
141 +10% +1510% +1410% +2920%
142 +10% +1520% +1420% +2940%
143 +10% +1530% +1430% +2960%
144 +10% +1540% +1440% +2980%
145 +10% +1550% +1450% +3000%
146 +10% +1560% +1460% +3020%
147 +10% +1570% +1470% +3040%
148 +10% +1580% +1480% +3060%
149 +10% +1590% +1490% +3080%
150 +10% +1600% +1500% +3100%
151 +10% +1610% +1510% +3120%
152 +10% +1620% +1520% +3140%
153 +10% +1630% +1530% +3160%
154 +10% +1640% +1540% +3180%
155 +10% +1650% +1550% +3200%
156 +10% +1660% +1560% +3220%
157 +10% +1670% +1570% +3240%
158 +10% +1680% +1580% +3260%
159 +10% +1690% +1590% +3280%
160 +10% +1700% +1600% +3300%
161 +10% +1710% +1610% +3320%
162 +10% +1720% +1620% +3340%
163 +10% +1730% +1630% +3360%
164 +10% +1740% +1640% +3380%
165 +10% +1750% +1650% +3400%
166 +10% +1760% +1660% +3420%
167 +10% +1770% +1670% +3440%
168 +10% +1780% +1680% +3460%
169 +10% +1790% +1690% +3480%
170 +10% +1800% +1700% +3500%
171 +10% +1810% +1710% +3520%
172 +10% +1820% +1720% +3540%
173 +10% +1830% +1730% +3560%
174 +10% +1840% +1740% +3580%
175 +10% +1850% +1750% +3600%
176 +10% +1860% +1760% +3620%
177 +10% +1870% +1770% +3640%
178 +10% +1880% +1780% +3660%
179 +10% +1890% +1790% +3680%
180 +10% +1900% +1800% +3700%
181 +10% +1910% +1810% +3720%
182 +10% +1920% +1820% +3740%
183 +10% +1930% +1830% +3760%
184 +10% +1940% +1840% +3780%
185 +10% +1950% +1850% +3800%
186 +10% +1960% +1860% +3820%
187 +10% +1970% +1870% +3840%
188 +10% +1980% +1880% +3860%
189 +10% +1990% +1890% +3880%
190 +10% +2000% +1900% +3900%
191 +10% +2010% +1910% +3920%
192 +10% +2020% +1920% +3940%
193 +10% +2030% +1930% +3960%
194 +10% +2040% +1940% +3980%
195 +10% +2050% +1950% +4000%
196 +10% +2060% +1960% +4020%
197 +10% +2070% +1970% +4040%
198 +10% +2080% +1980% +4060%
199 +10% +2090% +1990% +4080%
200 +10% +2100% +2000% +4100%

Examples[]

When is investing in $boostwish worth it, and what is the best amount of rolls to invest? The answer to this question depends completely on your current progress, and includes factors such as:

  • How many extra rolls you have
  • Your pool size (how many characters you can roll)
  • Your $wishlist size
  • etc.

The following tables provide examples for different levels of investment. These examples assume playing in Gamemode 2 (8 base rolls and a pool size based on $limroul).

Disclaimers[]

It should be noted that while boosting your wish spawn rate gives a greater chance to spawn your wished characters in any given roll, having more rolls can result in:

  • More keys overall
  • More kakera from $bku if your characters have gold keys
  • More chances to spawn any character you like, even if it's not on your $wishlist

Thus, these tables only represent the pure math behind wishlist/key spawn rate and do not take into account $bku earnings or other character preferences. The only additional bonus from having less rolls is saved time.

These tables also don't take $boostkakera into account, which may be more worth investing in depending on how many claimed characters are in the server or your personal goals.

These tables assume the following:

  • $personalrare / $setrare is at the lowest possible value (claimed and unclaimed characters have equal chance to spawn)
  • For the purposes of key calculations, it is assumed that your wishlist is filled up with your own claimed characters; if not, the number of rolled keys would be slightly less. It also does not take into account double keys, which is dependent on your pool breakdown and can be calculated afterwards.

A display of 100% isn't actually 100%, it is just rounded up.

Low investment[]

This example assumes that the player has completed Kakera Badges, Step 16 of Tutorials, and a few floors of Kakera Tower. Using $bw does NOT increase your chance to roll your wish at this level of investment.

$wl size: 13 characters
Wishlist spawn bonus: +150% (all) • +150% ($fw)
Pool size: 7000 characters
Characters claimed by you: 100 characters
Rolls per hour: 14

Rolls invested $wl / $fw
Boost from $bw
Effective $wl chance Effective $fw chance Approx. wishes
in roll period
Approx. keys
in roll period
0 +0% / +0% 6.29% 0.84% 0.06 0.24
1 +20% / +10% 6.31% 0.84% 0.06 0.23
2 +40% / +20% 6.25% 0.83% 0.06 0.21
3 +60% / +30% 6.13% 0.8% 0.06 0.2
4 +80% / +40% 5.94% 0.77% 0.06 0.18
5 +100% / +50% 5.67% 0.73% 0.06 0.17
6 +115% / +60% 5.27% 0.68% 0.05 0.15

Medium investment[]

$wl size: 50 characters
Wishlist spawn bonus: +150% (all) • +195% ($fw)
Pool size: 4000 characters
Characters claimed by you: 500 characters
Rolls per hour: 38

Rolls invested $wl / $fw
Boost from $bw
Effective $wl chance Effective $fw chance Approx. wishes
in roll period
Approx. keys
in roll period
0 +0% / +0% 69.38% 4.07% 1.17 5.36
1 +20% / +10% 71.14% 4.21% 1.22 5.3
2 +40% / +20% 72.67% 4.34% 1.27 5.23
3 +60% / +30% 73.98% 4.46% 1.32 5.16
4 +80% / +40% 75.11% 4.56% 1.36 5.08
5 +100% / +50% 76.06% 4.65% 1.4 5
6 +115% / +60% 76.41% 4.69% 1.41 4.89
7 +130% / +70% 76.67% 4.72% 1.42 4.79
8 +145% / +80% 76.84% 4.73% 1.43 4.68
9 +160% / +90% 76.92% 4.74% 1.43 4.57
10 +175% / +100% 76.92% 4.73% 1.43 4.45
11 +190% / +110% 76.83% 4.71% 1.42 4.33
12 +205% / +120% 76.65% 4.68% 1.41 4.21
13 +220% / +130% 76.39% 4.64% 1.4 4.09
14 +235% / +140% 76.04% 4.59% 1.39 3.96
15 +250% / +150% 75.59% 4.52% 1.37 3.83
16 +260% / +160% 74.72% 4.43% 1.33 3.69
17 +270% / +170% 73.75% 4.32% 1.3 3.54
18 +280% / +180% 72.68% 4.2% 1.26 3.39
19 +290% / +190% 71.49% 4.08% 1.21 3.24
20 +300% / +200% 70.19% 3.95% 1.17 3.09
21 +310% / +210% 68.75% 3.8% 1.12 2.93
22 +320% / +220% 67.16% 3.65% 1.08 2.77
23 +330% / +230% 65.41% 3.49% 1.02 2.62
24 +340% / +240% 63.48% 3.32% 0.97 2.45
25 +350% / +250% 61.35% 3.15% 0.92 2.29
26 +360% / +260% 59% 2.96% 0.86 2.13
27 +370% / +270% 56.4% 2.76% 0.8 1.96
28 +380% / +280% 53.53% 2.56% 0.74 1.79
29 +390% / +290% 50.35% 2.34% 0.67 1.62
30 +400% / +300% 46.83% 2.12% 0.61 1.45

High investment[]

$wl size: 100 characters
Wishlist spawn bonus: +150% (all) • +260% ($fw)
Pool size: 2000 characters
Characters claimed by you: 1000 characters
Rolls per hour: 68

Rolls invested $wl / $fw
Boost from $bw
Effective $wl chance Effective $fw chance Approx. wishes
in roll period
Approx. keys
in roll period
0 +0% / +0% 99.98% 14.89% 7.89 36.3
1 +20% / +10% 99.99% 15.35% 8.32 36.05
2 +40% / +20% 99.99% 15.77% 8.72 35.79
3 +60% / +30% 99.99% 16.16% 9.1 35.51
4 +80% / +40% 100% 16.53% 9.45 35.22
5 +100% / +50% 100% 16.86% 9.78 34.91
6 +115% / +60% 100% 17.08% 9.97 34.54
7 +130% / +70% 100% 17.28% 10.14 34.15
8 +145% / +80% 100% 17.46% 10.3 33.76
9 +160% / +90% 100% 17.62% 10.44 33.36
10 +175% / +100% 100% 17.76% 10.57 32.96
11 +190% / +110% 100% 17.89% 10.69 32.54
12 +205% / +120% 100% 17.99% 10.79 32.12
13 +220% / +130% 100% 18.07% 10.87 31.69
14 +235% / +140% 100% 18.13% 10.95 31.26
15 +250% / +150% 100% 18.18% 11 30.81
16 +260% / +160% 100% 18.16% 10.97 30.32
17 +270% / +170% 100% 18.12% 10.92 29.82
18 +280% / +180% 100% 18.07% 10.87 29.32
19 +290% / +190% 100% 18% 10.8 28.81
20 +300% / +200% 100% 17.93% 10.74 28.3
21 +310% / +210% 100% 17.84% 10.66 27.79
22 +320% / +220% 100% 17.73% 10.57 27.27
23 +330% / +230% 100% 17.62% 10.48 26.75
24 +340% / +240% 100% 17.49% 10.38 26.23
25 +350% / +250% 100% 17.35% 10.28 25.7
26 +360% / +260% 100% 17.2% 10.17 25.16
27 +370% / +270% 100% 17.04% 10.05 24.63
28 +380% / +280% 100% 16.86% 9.92 24.09
29 +390% / +290% 100% 16.67% 9.78 23.54
30 +400% / +300% 100% 16.47% 9.64 23
31 +410% / +310% 100% 16.26% 9.5 22.45
32 +420% / +320% 100% 16.03% 9.34 21.89
33 +430% / +330% 100% 15.8% 9.18 21.34
34 +440% / +340% 100% 15.55% 9.02 20.78
35 +450% / +350% 100% 15.29% 8.84 20.21
36 +460% / +360% 100% 15.02% 8.66 19.65
37 +470% / +370% 100% 14.73% 8.48 19.08
38 +480% / +380% 99.99% 14.44% 8.29 18.5
39 +490% / +390% 99.99% 14.13% 8.09 17.93
40 +500% / +400% 99.99% 13.81% 7.89 17.35
41 +510% / +410% 99.99% 13.48% 7.68 16.77
42 +520% / +420% 99.98% 13.14% 7.46 16.18
43 +530% / +430% 99.98% 12.79% 7.24 15.59
44 +540% / +440% 99.97% 12.42% 7.01 15
45 +550% / +450% 99.97% 12.04% 6.78 14.41
46 +560% / +460% 99.96% 11.65% 6.54 13.81
47 +570% / +470% 99.94% 11.25% 6.3 13.21
48 +580% / +480% 99.93% 10.84% 6.05 12.61
49 +590% / +490% 99.9% 10.41% 5.79 12
50 +600% / +500% 99.87% 9.98% 5.53 11.39
51 +610% / +510% 99.82% 9.53% 5.27 10.78
52 +620% / +520% 99.75% 9.07% 5 10.17
53 +630% / +530% 99.66% 8.6% 4.72 9.55
54 +640% / +540% 99.52% 8.11% 4.44 8.93
55 +650% / +550% 99.33% 7.61% 4.15 8.31
56 +660% / +560% 99.06% 7.1% 3.86 7.68
57 +670% / +570% 98.66% 6.58% 3.57 7.06
58 +680% / +580% 98.09% 6.05% 3.27 6.43
59 +690% / +590% 97.24% 5.5% 2.96 5.8
60 +700% / +600% 96% 4.94% 2.65 5.16

External Links[]

  • $boostwish comparison spreadsheet by Higgs#1204. The same disclaimers in the Disclaimers section apply here, as well as the disclaimer that this calculator may be less accurate at larger $wl sizes due to not adjusting for wishlist's effect on pool size.

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