Put 1,2,3 The 100 natural numbers are randomly divided into 50 groups with two numbers in each group. Now, one of the two numbers in each group is recorded as a and the other as B Take it into algebraic formula 1 / 2 (a + B - | A-B |) to calculate and get the result. After 50 groups are brought in, you can get 50 values, and find the [minimum value] of the sum of these 50 values
The calculation of 1 / 2 (a + B - | A-B |) is to take the smaller number of ab. after 50 calculations, the smaller number is retained
So the minimum value of 50 values is from 1 + 2 + 3 +. + 50 = 51 × 25 = 1275