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2018 ones in a row 2018 Malaysia OMK Juniors B3

Source:

September 19, 2021
combinatorics

Problem Statement

Given 20182018 ones in a row: 1   1   1   1   ...   1   1   1   1⏟2018   ones\underbrace{1\,\,\,1\,\,\,1\,\,\,1 \,\,\, ... \,\,\,1 \,\,\,1 \,\,\,1 \,\,\,1}_{2018 \,\,\, ones} in which plus symbols (+)(+) are allowed to be inserted in between the ones. What is the maximum number of plus symbols (+)(+) that need to be inserted so that the resulting sum is 8102?
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