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Data Disorder (Posted on 2010-10-30) Difficulty: 3 of 5
A certain function is of the form n*ka-m*(k-b)c, where all variables are integers. Results are computed for the function as k is increased by increments of 10 from some initial number, t. As the results become very large, it becomes impracticable to print-out every digit, so that the numerous leading digits are redacted as xxx.

A section of the print-out, containing the 451st to 460th results, reads as follows:
451. xxx1438
452. xxx5808
453. xxx2478
454. xxx0748
455. xxx5158
456. xxx0088
457. xxx2618
458. xxx9828
459. xxx5968
460. xxx6098

There is reason to suspect that, although the respective values of these results have been correctly recorded, their order (451-60) may have become scrambled.

In what order should the remainder of the results be placed, assuming that entries 454 and 457 are in their correct positions?

What would the correct order be if entries 451 and 456 are correct?

Bonus: What is the correct order of the results, assuming that the minimum possible number of results has been scrambled?

See The Solution Submitted by broll    
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