| author | Madhusudan.C.S <madhusudancs@gmail.com> |
| Thu, 08 Oct 2009 18:59:47 +0530 | |
| changeset 64 | 333092b68926 |
| child 94 | 8c92864c184b |
| permissions | -rw-r--r-- |
|
64
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
1 |
import math |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
2 |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
3 |
def aliquot(n): |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
4 |
sum = 0 |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
5 |
for i in range(1, int(math.sqrt(n))+1): |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
6 |
if n % i == 0: |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
7 |
sum += i + n/i |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
8 |
return sum |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
9 |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
10 |
amicable = [] |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
11 |
for n in range(10000, 100000): |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
12 |
m = aliquot(n) |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
13 |
if aliquot(m) == n: |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
14 |
amicable.append((m, n)) |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
15 |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
16 |
print amicable |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
17 |
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333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
18 |
# please please please profile this. |