Given a 4 × 4 4 \times 4 4 × 4 matrix with rows I, II, III, IV and columns I, II, III, IV, letters are placed such that meaningful 4-letter words are ...

Given a $4 \times 4$ matrix with rows I, II, III, IV and columns I, II, III, IV, letters are placed such that meaningful 4-letter words are formed in each column (top to bottom) and row (left to right). Letters are coded as follows: A=1, B=2, C=3, D=4, E=5, F=1, G=2, H=3, I=4, ..., Y=5, Z=1. The value of each cell is the sum of the letter's code and the place value of its row and column. No letter is repeated more than twice in the entire matrix. If a letter appears in a row and column intersection, it cannot appear again in that row or column.

Given:

• Column I: positions I, II, IV contain letters V, A, T respectively.
• Column II: positions III, IV contain letters H, O respectively.
• Column III: position II contains letter R.
• Column IV: positions I, III, IV contain letters N, T, S respectively.

Find the difference between the total value of column III and the total value of row I.