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: 1,10,11,17,16,19,23,32,20,2,32,23,30,3.

Here are 20 lucky 7-number sequences based on the new constraints:

1. [14, 23, 4, 17, 20, 3, 27]
2. [17, 29, 3, 28, 19, 2, 27]
3. [25, 2, 15, 16, 28, 7, 1]
4. [22, 12, 3, 16, 19, 1, 20]
5. [19, 27, 12, 21, 15, 17, 16]
6. [32, 7, 28, 12, 4, 23, 17]
7. [16, 30, 31, 9, 13, 17, 20]
8. [11, 25, 7, 23, 4, 24, 20]
9. [34, 2, 3, 25, 21, 1, 19]
10. [11, 24, 19, 3, 8, 15, 12]
11. [19, 2, 7, 14, 29, 23, 28]
12. [34, 5, 12, 32, 16, 23, 24]
13. [31, 26, 18, 30, 11, 6, 23]
14. [24, 10, 3, 8, 23, 18, 5]
15. [29, 1, 4, 17, 26, 30, 33]
16. [14, 24, 32, 1, 30, 22, 21]
17. [10, 30, 13, 26, 9, 1, 4]
18. [3, 4, 1, 32, 2, 22, 35]
19. [19, 6, 3, 11, 31, 21, 4]
20. [28, 35, 12, 22, 1, 30, 20]

Would you like more details or have any questions?

Here are 5 more questions you might ask:
1. Can you show the frequency of each number in these sequences?
2. How are the required numbers distributed in the sequences?
3. Can you generate similar sequences with different sum constraints?
4. What is the maximum and minimum sum of these sequences?
5. Can you verify if each number from 1 to 35 appears at least once?

**Tip:** When generating random sequences, always double-check your constraints to ensure they align with your requirements, especially when multiple conditions need to be met.

Explore how to generate 20 unique 7-number sequences from 1 to 35, ensuring each sequence contains specific numbers, is non-ascending, and has a sum between 90 and 150. This problem integrates probability, combinatorics, and constraint optimization techniques.

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