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EXAMPLE
| There are exactly 27 such triples:
1. {1,2,1816}^2={1,4,3297856}
2. {1,2,1964}^2={1,4,3857296}
3. {1,2,2414}^2={1,4,5827396}
4. {1,2,2527}^2={1,4,6385729}
5. {1,2,2927}^2={1,4,8567329}
6. {1,2,3094}^2={1,4,9572836}
7. {1,7,934}^2={1,49,872356}
8. {1,8,733}^2={1,64,537289}
9. {1,16,272}^2={1,256,73984}
10. {1,25,272}^2={1,625,73984}
11. {2,4,733}^2={4,16,537289}
12. {2,5,374}^2={4,25,139876}
13. {2,5,626}^2={4,25,391876}
14. {2,17,124}^2={4,289,15376}
15. {3,18,126}^2={9,324,15876}
16. {4,5,272}^2={16,25,73984}
17. {4,28,73}^2={16,784,5329}
18. {5,28,37}^2={25,784,1369}
19. {5,28,44}^2={25,784,1936}
20. {5,29,86}^2={25,841,7396}
21. {6,9,273}^2={36,81,74529}
22. {6,9,282}^2={36,81,79524}
23. {6,27,72}^2={36,729,5184}
24. {9,18,87}^2={81,324,7569}
25. {9,24,57}^2={81,576,3249}
26. {9,27,66}^2={81,729,4356}
27. {19,23,28}^2={361,529,784}.
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