| author | Madhusudan.C.S <madhusudancs@gmail.com> |
| Sun, 11 Oct 2009 16:51:43 +0530 | |
| changeset 94 | 8c92864c184b |
| parent 64 | 333092b68926 |
| child 354 | 5dc6c3673f9d |
| 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: |
|
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: |
|
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 |
|
|
94
8c92864c184b
Almost last set of official solutions and final quiz.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
64
diff
changeset
|
13 |
a = 3 |
|
8c92864c184b
Almost last set of official solutions and final quiz.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
64
diff
changeset
|
14 |
while a < 100: |
|
8c92864c184b
Almost last set of official solutions and final quiz.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
64
diff
changeset
|
15 |
b = a + 1 |
|
8c92864c184b
Almost last set of official solutions and final quiz.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
64
diff
changeset
|
16 |
while b < 100: |
|
8c92864c184b
Almost last set of official solutions and final quiz.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
64
diff
changeset
|
17 |
is_ps, c = is_perfect_square((a * a) + (b * b)) |
|
8c92864c184b
Almost last set of official solutions and final quiz.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
64
diff
changeset
|
18 |
if is_ps and gcd(a, b) == 1: |
|
64
333092b68926
Added quiz tex file and all exercise problems Madhu worked out.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
diff
changeset
|
19 |
print a, b, c |
|
94
8c92864c184b
Almost last set of official solutions and final quiz.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
64
diff
changeset
|
20 |
b += 1 |
|
8c92864c184b
Almost last set of official solutions and final quiz.
Madhusudan.C.S <madhusudancs@gmail.com>
parents:
64
diff
changeset
|
21 |
a += 1 |