17?

That would mean 17 stacks and the smallest being (100-16) = 84

The 17 columns of 84 coins = 1428 total in the equal sized stacks

The number of extras is 0 on top of the first,1 on the second ,2 on the third and so on...,3, ...,14,15,16

so this time we have:

column 1 extras + column 17 extras = 0+16=16

column 2 extras + column 16 extras = 1+15=16

column 3 extras + column 15 extras = 2+14=16

column 4 extras + column 14 extras = 3+13=16

column 5 extras + column 13 extras = 4+12=16

column 6 extras + column 12 extras = 5+11=16

column 7 extras + column 11 extras = 6+10=16

column 8 extras + column 10 extras = 7 + 9=16

column 9 extras =

**8**Extras = (8x16)+9 = 128 +9=136 total extras

1428+136=

**1564**I enjoy problem solving of any kind.

Make it even simpler:

Call the number of stacks N

If N is

odd, the total number of extras is N

and the total of coins in the same sized stacks is 101xN - (NxN)

Combined "extras + same" for odd number of stacks:

102xN - (NxN)If N is

even, the total number of extras is 1/2xN

and the total of coins in the same-sized stacks is 101xN - (NxN)

Combined "extras + same" for even number of stacks:

101.5xN - (NxN)Yes, I enjoy problem solving - this was fun

Edited in green to show my error. I had a 9 instead of 8 extra in column 9

- When I value " being

*right*" more than what

**IS** right, I am then right...a fool.

- How much squash could a Sasquatch squash if a Sasquatch would squash squash?

- Real men play Fizzbin.