At my butcher shop, you can buy 2 pounds of chicken thigh and 1 pound of chicken feet for 738 cents, and 3 pounds of chicken thigh and 1 pound of chicken heart for 852 cents.

For how many ordered sets of integers $(t, f, h )$, with each of the element between 0 and 100 inclusive, can you determine the exact total cost of $t$ pounds of chicken thigh, $f$ pounds of chicken feet, and $h$ pounds of chicken heart?

Assume that the cost per pound of any given meat is constant.

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