Difference between revisions of "2002 OIM Problems/Problem 1"
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== Problem == | == Problem == | ||
| − | The integers from 1 to 2002, both inclusive, are written on a blackboard in increasing order <math>1, 2, \cdots , 2001, 2002</math>. Then, those in first, fourth place, seventh place, etc. are | + | The integers from 1 to 2002, both inclusive, are written on a blackboard in increasing order <math>1, 2, \cdots , 2001, 2002</math>. Then, those in first, fourth place, seventh place, etc. are erased, that is, those who occupy the places of the form <math>3k + 1</math>. In the new list the numbers that are in the places of the form <math>3k + 1</math> are erased. This process is repeated until all numbers are deleted from the list. What was the last number that was erased? |
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
Latest revision as of 04:38, 14 December 2023
Problem
The integers from 1 to 2002, both inclusive, are written on a blackboard in increasing order 
. Then, those in first, fourth place, seventh place, etc. are erased, that is, those who occupy the places of the form 
. In the new list the numbers that are in the places of the form are erased. This process is repeated until all numbers are deleted from the list. What was the last number that was erased?
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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