John came across a wonderful application called yahoo answers.
And our John decided to have the highest score on yahoo answers,
he has taken the following decisions
- I will answer a maximum of 50 questions/day (initially the limit may be lower depending on my level)
- I will ask a maximum of 50 questions/day (initially the limit may be lower depending on my level)
- I will put half of my questions to vote
- I will choose best answer for half of my questions
- I will vote a maximum of 50 questions/day
- I will choose best answer for 50 questions/day
- And I assume 10% of my answers will be chosen as best answer by someone else.
Ok How many days does John take to reach level 7?
Assumption:
- once i reach a particular level in a day, the Q&A for that level is reset to 0 for the day
- when u say choose best answer for 50qn/day, i assume u want to rate the contribution=>1 point
Starting with a initial fixed 100 points.
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At Level I, per day i can earn
10 answers - 20
10 questions
5 qna to vote - 25
5 qna to best answer - 25
10 qns to vote - 10
10 qns to rate - 10
1 best answer - 10
total = 100 points
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For level 2, i need 150 more points; so i take 1.5 days to get to level 2.
cumulative total = 250
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At level 2 i can earn per day -
20 answers - 40
20 questions
10 qna to vote - 50
10 qna to best answer - 50
20 qns to vote - 20
20 qns to rate - 20
2 best answer - 20
total = 200 points
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For level 3, i need 1000-250=750 more points; so i take 750/200=3.75 days to get to level 3
Cumulative Points = 1000
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At level 3, i can earn per day-
30 answers - 60
30 questions
15 qna to vote - 75
15 qna to best answer - 75
30 qns to vote - 30
30 qns to rate - 30
3 best answer - 30
total = 300 points
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For level 4, i need 2500-1000=1500 more points; so i take 1500/300=5 days to get to level 4
Cumulative Points = 2500
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At level 4, i can earn per day-
40 answers - 80
40 questions
20 qna to vote - 100
20 qna to best answer - 100
40 qns to vote - 40
40 qns to rate - 40
4 best answer - 40
total = 400 points
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For level 5, i need 5000-2500=2500 more points; so i take 2500/400=6.25 days to get to level 5
Cumulative Points = 5000
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At level 5, i can earn per day-
50 answers - 100
50 questions
25 qna to vote - 125
25 qna to best answer - 125
50 qns to vote - 50
50 qns to rate - 50
5 best answer - 50
total = 500 points
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For level 6, i need 10000-5000=5000 more points; so i take 5000/500 = 10 days to get to level 6
Cumulative Points = 10000
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At level 6, i can earn per day-
50 answers - 100
50 questions
25 qna to vote - 125
25 qna to best answer - 125
50 qns to vote - 50
50 qns to rate - 50
5 best answer - 50
total = 500 points
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For level 7, i need 25000-10000=15000 more points; so i take 15000/500 = 30 days to get to level 7
Cumulative Points = 15000
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so adding up all the days together = 1.5+3.75+5+6.25+10+30 = 56 days
56 days to level 7!!