98434 – We Solve Problems

Problem № 98434 11-13

Two people are playing. The first player writes out numbers from left to right, randomly alternating between 0 and 1, until there are 1999 numbers in total. Each time after the first one writes out the next digit, the second changes two numbers from the already written row $($ when only one digit is written, the second misses its move $)$. Is the second player always able to ensure that, after his last move, the arrangement of the numbers is symmetrical relative to the middle number?


Add to My Problems
My Problem Set reset
No Problems selected
Print Collection