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1. Mr Greedy

2. Mr Grumpy

3. Mr Happy

4. Mr Nosey

5. Mr Rush

6. Mr Small

7. Mr Strong

8. Mr Tall

9. Mr Tickle

10. Mr Topsy-Turvy

?

Mr Nosey?

This algorithm is for finding an item in a sorted list or determining that it is not in the list.

Is Mr Nosey in the list opposite?

First find the middle of the list:

(10+1)/2 = 5.5 so take 6th item

Compare Mr Nosey and Mr Small,

Nosey comes before Small so reduce the list to the first half.

1. Mr Greedy

2. Mr Grumpy

3. Mr Happy

4. Mr Nosey

5. Mr Rush

6. Mr Small

7. Mr Strong

8. Mr Tall

9. Mr Tickle

10. Mr Topsy-Turvy

1. Mr Greedy

2. Mr Grumpy

3. Mr Happy

4. Mr Nosey

5. Mr Rush

?

Mr Nosey?

Now find the middle

(1+5)/2 = 3rd item

Compare Mr Nosey and Mr Happy ,

Nosey comes after Happy so reduce the list to the second half.

1. Mr Greedy

2. Mr Grumpy

3. Mr Happy

4. Mr Nosey

5. Mr Rush

6. Mr Small

7. Mr Strong

8. Mr Tall

9. Mr Tickle

10. Mr Topsy-Turvy

4. Mr Nosey

5. Mr Rush

1. Mr Greedy

2. Mr Grumpy

3. Mr Happy

4. Mr Nosey

5. Mr Rush

?

Mr Nosey?

Find the middle

(4+5)/2 = 4.5 so take item 5

Compare Mr Nosey and Mr Rush, Nosey comes before Rush so take first half of list

1. Mr Greedy

2. Mr Grumpy

3. Mr Happy

4. Mr Nosey

5. Mr Rush

6. Mr Small

7. Mr Strong

8. Mr Tall

9. Mr Tickle

10. Mr Topsy-Turvy

4. Mr Nosey

5. Mr Rush

4. Mr Nosey

1. Mr Greedy

2. Mr Grumpy

3. Mr Happy

4. Mr Nosey

5. Mr Rush

?

Mr Nosey?

Compare Mr Nosey and Mr Nosey,

We have found him!