author | Christopher Burns <chris.d.burns@gmail.com> |
Mon, 28 Jun 2010 23:17:31 -0500 | |
branch | scipy2010 |
changeset 428 | ee689f7c3122 |
parent 380 | 669b72283b55 |
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): |
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: |
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): |
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: |
428
ee689f7c3122
REF: Minor formatting tweaks in exercise solutions.
Christopher Burns <chris.d.burns@gmail.com>
parents:
380
diff
changeset
|
11 |
return gcd(b, a % b) |
64
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
12 |
|
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): |
428
ee689f7c3122
REF: Minor formatting tweaks in exercise solutions.
Christopher Burns <chris.d.burns@gmail.com>
parents:
380
diff
changeset
|
14 |
for b in range(a + 1, 101, 2): |
ee689f7c3122
REF: Minor formatting tweaks in exercise solutions.
Christopher Burns <chris.d.burns@gmail.com>
parents:
380
diff
changeset
|
15 |
if gcd(a, b) == 1: |
354
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)) |
428
ee689f7c3122
REF: Minor formatting tweaks in exercise solutions.
Christopher Burns <chris.d.burns@gmail.com>
parents:
380
diff
changeset
|
17 |
if is_ps: |
ee689f7c3122
REF: Minor formatting tweaks in exercise solutions.
Christopher Burns <chris.d.burns@gmail.com>
parents:
380
diff
changeset
|
18 |
print a, b, c |