Dwelling upon the triangular numbers

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SUMMARY

Hank, Jim, and Larry each selected distinct five-digit triangular numbers following the digit pattern DWELL, where each letter corresponds to a unique base-10 digit. Jim's number is particularly notable as it shares no digits with the numbers chosen by Hank or Larry. The problem was solved using a brute force approach, ensuring that none of the selected numbers contained leading zeros.

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  • Knowledge of constraints in number selection, such as leading zeros
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K Sengupta
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Each of Hank, Jim and Larry chose a different five-digit triangular number whose digits had the pattern DWELL, where each different letter represents a different base-10 digit. Jim's triangular number had no digit in common with either Hank's or Larry's.

Determine the numbers chosen by each of the three individuals.

Note: None of the numbers can contain any leading zero.
 
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There are two solutions
Jim = 27966
Hank = 15400
Larry = 58311

-and-

Jim = 27966
Hank = 58311
Larry = 15400
I used brute force to solve this.
 
jimmy, you've been brutal today.
 

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