| author | Prabhu Ramachandran <prabhu@aero.iitb.ac.in> |
| Mon, 21 Jun 2010 00:49:03 -0400 | |
| branch | scipy2010 |
| changeset 412 | ca04d463c573 |
| parent 380 | 669b72283b55 |
| child 428 | ee689f7c3122 |
| 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 |
def is_perfect_square(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
|
2 |
i = 1 |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
3 |
while i * i < 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 |
i += 1 |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
5 |
return i * i == n, i |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
6 |
|
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
7 |
def gcd(a, b): |
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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
|
8 |
if a % b == 0: |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
9 |
return b |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
10 |
else: |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
11 |
return gcd(b, a%b) |
|
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
12 |
|
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380
669b72283b55
Updated after Day 2 at GRDCS
Santosh G. Vattam <vattam.santosh@gmail.com>
parents:
354
diff
changeset
|
13 |
for a in range(3, 101): |
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669b72283b55
Updated after Day 2 at GRDCS
Santosh G. Vattam <vattam.santosh@gmail.com>
parents:
354
diff
changeset
|
14 |
for b in range( a+1, 101, 2): |
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354
5dc6c3673f9d
Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents:
94
diff
changeset
|
15 |
if gcd( a, b ) == 1: |
|
5dc6c3673f9d
Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents:
94
diff
changeset
|
16 |
is_ps, c = is_perfect_square((a * a) + (b * b)) |
|
5dc6c3673f9d
Changes made during REC Chennai workshop.
Puneeth Chaganti <punchagan@fossee.in>
parents:
94
diff
changeset
|
17 |
if is_ps: print a, b, c |