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+---
+layout: ../../layouts/CheatSheet.astro
+title: "Competitive Programming Python Cheatsheet"
+---
+
+## Synopsis
+
+Competitive programming is a mind sport usually held over the Internet or a local network, involving participants trying to program according to provided specifications. Competitive programming is recognized and supported by several multinational software and Internet companies.
+
+There are many different types of competitive programming competitions, including:
+
+| Type                                                                          | Description                                                                                                                                                      |
+| ----------------------------------------------------------------------------- | ---------------------------------------------------------------------------------------------------------------------------------------------------------------- |
+| [ACM-ICPC](https://icpc.baylor.edu/)                                          | The ACM International Collegiate Programming Contest (ICPC) is an annual multi-tiered competitive programming competition among the universities of the world.   |
+| [Google Code Jam](https://codingcompetitions.withgoogle.com/codejam)          | Google Code Jam is a programming competition organized and run by Google.                                                                                        |
+| [Google Kick Start](https://codingcompetitions.withgoogle.com/kickstart)      | Google Kick Start is a global online coding competition, consisting of three-hour rounds of algorithmic puzzles designed by Google engineers and held virtually. |
+| [Google Hash Code](https://codingcompetitions.withgoogle.com/hashcode)        | Google Hash Code is a team-based programming competition, organized by Google for students and professionals around the world.                                   |
+| [Facebook Hacker Cup](https://www.facebook.com/codingcompetitions/hacker-cup) | Facebook Hacker Cup is a worldwide programming competition organized by Facebook.                                                                                |
+
+## standard-python-templates
+
+### standard libraries to import 
+
+```python
+from math import sqrt, ceil, floor
+from time import time 
+from itertools import count, combinations 
+from functools import reduce
+```
+
+### template-for-gcd
+
+```python
+def gcd(a, b):
+    if b == 0:
+        return a
+    return gcd(b, a%b)
+
+```
+
+### sieve-of-eratosthenes
+
+```python
+def SieveOfEratosthenes(n):
+
+    nums = {}
+    for i in range(2, n+1):
+        nums[i] = 1
+
+    for i in nums:
+        if nums[i] == 1:
+            k = 2
+            m = k*i
+            while m <= n:
+                k+=1
+                nums[m] = 0
+                m = k*i
+
+    ans = []
+    for k in nums:
+        if nums[k] == 1:
+            ans.append(k)
+    
+    return ans
+```
+
+### prime-factorization
+
+```python
+def PrimeFact(n):
+    factors = {}
+    for i in range(2, int(sqrt(n)) + 1):
+        c = 0
+        while n % i == 0:
+            n//=i
+            c+=1
+            factors[i] = c
+    if n > 1:
+        factors[n] = 1
+    return factors
+```