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2 \times 3
2×3
2^{34}
234
a_{i-1}
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\frac{2}{3}
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\sqrt{2}
2
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∑i=13
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Comments
Look at the input given:
1
2
3
4
3
0 1 2 3 4 5
6 7 8 9 0 1
2 3 4 5 6 7
This means you got 3 cubes, each of these cubes whose faces are given to be the 3 sextuplets of integers.
Now's let's form all the non-negative integers starting 0 by using each of the die at most once to form the digits.
Can we form the number 0 from these 3 dice? Yes.
Can we form the number 1 from these 3 dice? Yes.
Can we form the number 2 from these 3 dice? Yes.
Can we form the number 3 from these 3 dice? Yes. ⋮
Can we form the number 85 from these 3 dice? Yes.
Can we form the number 86 from these 3 dice? Yes.
Can we form the number 87 from these 3 dice? Yes.
Can we form the number 88 from these 3 dice? No. (Because there's no 2 dice that has a face of 8)
@Nazmus Sakib, That is, there are n dice, with a number of 0-9 on each face. Find the longest consecutive number in the group, you can not use all the dice. For example, there is only one 8 in example 1, so 88 cannot be combined, and 1 -87 can be combined, all answers are 87, this is a water problem, n range is 1-3, direct violence is enough, save all combinations into an array, and then traverse to find out the number that cannot be combined.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*
or_italics_
**bold**
or__bold__
paragraph 1
paragraph 2
[example link](https://brilliant.org)
> This is a quote
\(
...\)
or\[
...\]
to ensure proper formatting.2 \times 3
2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
Comments
Look at the input given:
Now's let's form all the non-negative integers starting 0 by using each of the die at most once to form the digits.
Can we form the number 0 from these 3 dice? Yes.
Can we form the number 1 from these 3 dice? Yes.
Can we form the number 2 from these 3 dice? Yes.
Can we form the number 3 from these 3 dice? Yes.
⋮
Can we form the number 85 from these 3 dice? Yes.
Can we form the number 86 from these 3 dice? Yes.
Can we form the number 87 from these 3 dice? Yes.
Can we form the number 88 from these 3 dice? No. (Because there's no 2 dice that has a face of 8)
So the answer is 87.
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Shouldn't it be like this?
Can we form the number 87 from these 3 dice? Yes.
Can we form the number 88 from these 3 dice? No. (No two cubes with digit 8)
So the answer is 87.
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You're right. I've updated my text.
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@Nazmus Sakib, That is, there are n dice, with a number of 0-9 on each face. Find the longest consecutive number in the group, you can not use all the dice. For example, there is only one 8 in example 1, so 88 cannot be combined, and 1 -87 can be combined, all answers are 87, this is a water problem, n range is 1-3, direct violence is enough, save all combinations into an array, and then traverse to find out the number that cannot be combined.