MathDB

The ship Meridiano do Bacalhau does its fishing business during

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

mile, on the second day sails

2

miles; generally, on the

n

-th day it sails

n

miles. After of the

64

-th day, the ship was

2014

miles north from its initial position. What is the greatest number of days that the ship could have sailed south?

Problem Statement