Goal: one face of opposite colors

distance  positions
    0      699984
    1     2189088
    2      762048
    3       23040

Average distance = 1.0294


Goal: one face of a single color

distance  positions
    0        22654  0.62%
    1       132828  3.62%
    2       626354 17.05%
    3      2057908 56.01%
    4       832588 22.66%
    5         1828  0.05%

Average distance = 2.966


Goal: two opposite faces of two opposite colors

distance  positions
    0        14832
    1        29376
    2       175392
    3       851040
    4      2066688
    5       535680
    6         1152

Average distance = 3.779

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Goal: 3 or more stickers of the same color on at least one face.

distance  positions
    0      1075254
    1      2149200
    2       447630
    3         2076

Average distance = 0.830

Goal: Exactly 3 stickers of the same color on at least one face.

distance  positions
    0      1060856
    1      2140980
    2       470142
    3         2182

Average distance = 0.840