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Added Maths Section#36
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15 changes: 15 additions & 0 deletionsMaths/catalan.py
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,15 @@ | ||
| def catalan(n): | ||
| if (n == 0 or n == 1): | ||
| return 1 | ||
| catalan = [0]*(n+1) | ||
| catalan[0] = 1 | ||
| catalan[1] = 1 | ||
| for i in range(2, n + 1): | ||
| catalan[i] = 0 | ||
| for j in range(i): | ||
| catalan[i] = catalan[i] + catalan[j] * catalan[i-j-1] | ||
| return catalan[n] | ||
| print("Enter value of n:") | ||
| a=int(input()) | ||
| print(f"Catalan Number(nth) is : {catalan(a)}") |
18 changes: 18 additions & 0 deletionsMaths/check_prime.py
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,18 @@ | ||
| def check(n): | ||
| if(n==1): | ||
| return False | ||
| if(n==2 or n==3): | ||
| return True | ||
| i=2 | ||
| while i*i<=n: | ||
| if(n%i==0): | ||
| return False | ||
| i+=1 | ||
| return True | ||
| print("Enter number :") | ||
| a=int(input()) | ||
| if(check(a)): | ||
| print(f"{a} is a prime number") | ||
| else: | ||
| print(f"{a} is not a prime number") |
9 changes: 9 additions & 0 deletionsMaths/gcd.py
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,9 @@ | ||
| def computeGCD(x, y): | ||
| while(y): | ||
| x, y = y, x % y | ||
| return x | ||
| print("Enter two numbers:") | ||
| a,b=map(int,input().split()) | ||
| print(f"Gcd of {a} and {b} is {computeGCD(a,b)}") |
21 changes: 21 additions & 0 deletionsMaths/prime_factors.py
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,21 @@ | ||
| def prime_factors(n): | ||
| i=2 | ||
| ans=[] | ||
| while i*i<=n: | ||
| if(n%i==0): | ||
| ans.append(i) | ||
| while(n%i==0): | ||
| n=n//i | ||
| i+=1 | ||
| if(n!=1): | ||
| ans.append(n) | ||
| if(len(ans)==0): | ||
| print("No prime factors") | ||
| else: | ||
| print("Prime factors are : ",end=" ") | ||
| print(*ans) | ||
| print("Enter number:") | ||
| a=int(input()) | ||
| prime_factors(a) |
18 changes: 18 additions & 0 deletionsMaths/sieve.py
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,18 @@ | ||
| def sieve(n): | ||
| prime=[1]*(n+1) | ||
| prime[0],prime[1]=0,0 | ||
| i=2 | ||
| while i*i<=n: | ||
| if(prime[i]): | ||
| for j in range(i*i,n+1,i): | ||
| prime[j]=0 | ||
| i+=1 | ||
| print("Primes are : ") | ||
| for i in range(0,n+1): | ||
| if(prime[i]): | ||
| print(i,end=" ") | ||
| print() | ||
| print("Enter upper bound of prime:") | ||
| a=int(input()) | ||
| sieve(a) |
10 changes: 10 additions & 0 deletionsREADME.md
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