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2014 Portugal MO
Problems
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FINALS - Portuguese Mathematical Olympiad (High-School) P1
Source:
4/6/2014
The ship Meridiano do Bacalhau does its fishing business during
64
64
64
days. Each day the capitain chooses a direction which may be either north or south and the ship sails that direction in that day. On the first day of business the ship sails
1
1
1
mile, on the second day sails
2
2
2
miles; generally, on the
n
n
n
-th day it sails
n
n
n
miles. After of the
64
64
64
-th day, the ship was
2014
2014
2014
miles north from its initial position. What is the greatest number of days that the ship could have sailed south?
algebra unsolved
algebra