Generate 20 lucky 7-number sequenceS FROM 1 TO 35, ENSURING ALL 35 NUMBERS APPEAR IN THE SEQUENCES, EACH NUMBER SEQUENCE IS NOT IN ASCENDING ORDER, EACH SEQUENCE HAS A SUM BETWEEN 90 AND 150, AND THAT 3 OF THE FOLLOWING NUMBERS APPEAR IN EACH SEQUENCE: 3,30,1,10,11,20,2,25,14,34.

Here are 20 lucky 7-number sequences:

1. [25, 23, 2, 9, 31, 4, 14]
2. [26, 14, 11, 24, 22, 18, 1]
3. [29, 2, 15, 25, 19, 1, 35]
4. [30, 25, 12, 28, 11, 7, 29]
5. [2, 27, 8, 4, 17, 25, 10]
6. [11, 5, 25, 14, 17, 1, 21]
7. [10, 13, 15, 25, 18, 27, 11]
8. [22, 2, 30, 6, 27, 11, 33]
9. [1, 12, 14, 29, 33, 4, 25]
10. [17, 20, 21, 31, 25, 19, 11]
11. [8, 34, 35, 24, 1, 25, 14]
12. [16, 20, 19, 8, 3, 22, 34]
13. [10, 34, 2, 15, 17, 30, 27]
14. [5, 28, 31, 30, 13, 20, 2]
15. [17, 1, 14, 10, 13, 33, 29]
16. [13, 30, 28, 25, 4, 3, 20]
17. [19, 24, 18, 30, 25, 9, 10]
18. [22, 1, 6, 33, 25, 2, 19]
19. [20, 10, 13, 15, 11, 22, 19]
20. [27, 3, 30, 14, 21, 26, 28]

Would you like more details or have any questions?

Here are 5 more questions you might ask:
1. Can you explain how the sequences were generated?
2. What is the sum of each sequence?
3. Can you generate sequences with different constraints?
4. How many times does each required number appear in the sequences?
5. Can you visualize the distribution of numbers in these sequences?

**Tip:** When creating custom sequences or sets, always ensure your constraints are clear and achievable to get the desired results.

Explore how to generate 20 unique sequences of 7 numbers each from 1 to 35, ensuring all numbers appear at least once, with each sequence not in ascending order and having a sum between 90 and 150. Each sequence must include exactly three of the numbers: 3, 30, 1, 10, 11, 20, 2, 25, 14, 34. Discover the methods and constraints used in solving this combinatorial problem.

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