Charting the years
I’m mapping the years from 1905 to 2023, pinpointing key milestones like 1949, 1919, 1933, 1965, 1981, 1997, 2013, and 2023. It’s intriguing to see a potential pattern emerging among these years.
Weighing options
I'm piecing together whether the years are odd, leap, prime, or crucial for Chinese leaders, with a step of 4 years from 1905 to 2023. Progressing through these ideas.
Assessing the median's role
Interestingly enough, the minimal sum of |n−1949| + |n−1905| + ... + |n−2023| is achieved at the median 1964. This suggests n should be 1964 for optimal results.
Refining the calculations
I’m concluding that the problem asks for the minimal sum of absolute differences for a range. The unclear part is specifying which years to include.
Determining the range
I'm working through the range from 1905 to 2023, totaling 119 terms. The minimal sum occurs when n is the median, 1964.
Summing up differences
Summing absolute differences from 1964 to each year from 1905 to 2023 results in a total of 3540. This approach showcases the accuracy of the calculations.
Reassessing the pattern
I'm considering steps and sequences from 1905 to 2023, like yearly intervals and specific years at fixed intervals, to identify a pattern or confirm calculations.
Verifying assumptions
I’m thinking n should be 1964, as it minimizes the sum of absolute differences with years from 1905 to 2023.
Evaluating year sequences
I’m weighing the years from 1905 to 2023, likely 3540, but checking if n must be a positive integer.
Thought for 11 seconds
