Two octopuses need gloves for a boxing match, requiring eight gloves each. To guarantee that both wear the same color, a minimum of 31 gloves must be drawn. If the goal is to ensure they wear different colors, at least 24 gloves should be drawn. With 23 gloves chosen, it is assured that at least one octopus can have gloves of either color in sufficient quantity to satisfy the conditions. In a separate puzzle related to multiplication, certain digits are replaced by stars, and the specific digits must be determined based on multiplication rules, with initial derivations showing that specific values must be allocated for H, I, and F based on carry amounts.
If the lone glove left behind is red, both octopuses can wear green gloves. If the lone glove left behind is green, both octopuses can wear red gloves.
Imagine the first 16 choices are all of one colour. You will then need 8 of the other.
With 23 gloves, at least 7 are one colour (say red) and at least 8 are the other (say green). If there there exactly 7 red, then both octopuses can wear green.
H must be 1 since F plus the carry of (D+G) must be 10 or larger. In fact, since the carry of D+E can at most be 1, it must be the case that H = 1, I = 0, and F = 9.
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