Put 1, 2, 3 The 100 natural numbers, 100, are randomly divided into 50 groups with two numbers in each group. Now, record any value of the two numbers in each group as a and the other as B, and substitute them into the algebraic formula 12 (| A-B | + A + b) to calculate the result. After 50 groups of numbers are substituted, 50 values can be obtained, then the maximum sum of the 50 values is___ ．

Put 1, 2, 3 The 100 natural numbers, 100, are randomly divided into 50 groups with two numbers in each group. Now, record any value of the two numbers in each group as a and the other as B, and substitute them into the algebraic formula 12 (| A-B | + A + b) to calculate the result. After 50 groups of numbers are substituted, 50 values can be obtained, then the maximum sum of the 50 values is___ ．

① If a ≥ B, then the absolute value sign in the algebraic formula can be directly removed, and the algebraic formula is equal to a. ② if b > A, then the absolute value sign is opposite, and the algebraic formula is equal to B. thus, if you input a pair of numbers, you can get the largest number in the pair of numbers (which has nothing to do with who is a and who is b). Since it is summation, you need to put these 50 numbers