Dwelling upon the triangular numbers

[K Sengupta]

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.

 

[Jimmy Snyder]

Spoiler

There are two solutions
Jim = 27966
Hank = 15400
Larry = 58311

-and-

Jim = 27966
Hank = 58311
Larry = 15400

I used brute force to solve this.

 

[Gokul43201]

jimmy, you've been brutal today.