factorial

R: How can I calculate large numbers in n-choose-k? [duplicate]

空扰寡人 提交于 2020-05-13 04:12:33
问题 This question already has answers here : How would you program Pascal's triangle in R? (2 answers) How to work with large numbers in R? (1 answer) Closed 3 years ago . For a class assignment, I need to create a function that calculates n Choose k. I did just that, and it works fine with small numbers (e.g. 6 choose 2), but I'm supposed to get it work with 200 choose 50, where it naturally doesn't. The answer is too large and R outputs NaN or Inf, saying: > q5(200, 50) [1] "NaN" Warning

R: How can I calculate large numbers in n-choose-k? [duplicate]

你。 提交于 2020-05-13 04:11:06
问题 This question already has answers here : How would you program Pascal's triangle in R? (2 answers) How to work with large numbers in R? (1 answer) Closed 3 years ago . For a class assignment, I need to create a function that calculates n Choose k. I did just that, and it works fine with small numbers (e.g. 6 choose 2), but I'm supposed to get it work with 200 choose 50, where it naturally doesn't. The answer is too large and R outputs NaN or Inf, saying: > q5(200, 50) [1] "NaN" Warning

Foobar - Test cases not passing - Disorderly escape - 2

会有一股神秘感。 提交于 2020-03-28 06:58:34
问题 0/10 test cases are passing. Here is the challenge description: (to keep formatting nice - i put the description in a paste bin) Link to challenge description: https://pastebin.com/UQM4Hip9 Here is my trial code - PYTHON - (0/10 test cases passed) from math import factorial from collections import Counter from fractions import gcd def cycle_count(c, n): cc=factorial(n) for a, b in Counter(c).items(): cc//=(a**b)*factorial(b) return cc def cycle_partitions(n, i=1): yield [n] for i in range(i,

Coq: Prove equality of two factorial functions using induction

徘徊边缘 提交于 2020-02-04 11:47:49
问题 I want to prove that two factorial functions are equivalent in Coq using induction. The base case n = 0 is easy, however, the induction case is more complicated. I see, that if I could rewrite (visit_fac_v2 n' (n * a)) to n * (visit_fac_v2 n' a) , I would be done. However, translating this idea into Coq causes me troubles. How would one go about proving this in Coq? Fixpoint fac_v1 (n : nat) : nat := match n with | 0 => 1 | S n' => n * (fac_v1 n') end. Fixpoint visit_fac_v2 (n a : nat) : nat

Coq: Prove equality of two factorial functions using induction

可紊 提交于 2020-02-04 11:47:15
问题 I want to prove that two factorial functions are equivalent in Coq using induction. The base case n = 0 is easy, however, the induction case is more complicated. I see, that if I could rewrite (visit_fac_v2 n' (n * a)) to n * (visit_fac_v2 n' a) , I would be done. However, translating this idea into Coq causes me troubles. How would one go about proving this in Coq? Fixpoint fac_v1 (n : nat) : nat := match n with | 0 => 1 | S n' => n * (fac_v1 n') end. Fixpoint visit_fac_v2 (n a : nat) : nat

Coq: Prove equality of two factorial functions using induction

▼魔方 西西 提交于 2020-02-04 11:47:14
问题 I want to prove that two factorial functions are equivalent in Coq using induction. The base case n = 0 is easy, however, the induction case is more complicated. I see, that if I could rewrite (visit_fac_v2 n' (n * a)) to n * (visit_fac_v2 n' a) , I would be done. However, translating this idea into Coq causes me troubles. How would one go about proving this in Coq? Fixpoint fac_v1 (n : nat) : nat := match n with | 0 => 1 | S n' => n * (fac_v1 n') end. Fixpoint visit_fac_v2 (n a : nat) : nat

Python recursive Factorial Function [duplicate]

让人想犯罪 __ 提交于 2020-01-23 03:04:32
问题 This question already has answers here : Understanding recursion in Python (4 answers) Closed 5 months ago . Found this solution to make a factorial() function in python, but I am having trouble with understanding ' why ' it works. The function is : def factorial(x): if x <= 1: return 1 else: return x * factorial(x-1) I'm having trouble understanding where the actual multiplication happens? It would seem to me, that the function would keep calling itself until it gets to 1, and returns 1. Can

recursive factorial function

我的梦境 提交于 2020-01-22 09:32:09
问题 how can I combine these two functions in to one recursive function to have this result: factorial(6) 1! = 1 2! = 2 3! = 6 4! = 24 5! = 120 6! = 720 these are the codes def factorial( n ): if n <1: # base case return 1 else: return n * factorial( n - 1 ) # recursive call def fact(n): for i in range(1, n+1 ): print "%2d! = %d" % ( i, factorial( i ) ) fact(6) 1! = 1 2! = 2 3! = 6 4! = 24 5! = 120 6! = 720 as you see execution of these two gives a correct answer, I just want to make it to one

recursive factorial function

此生再无相见时 提交于 2020-01-22 09:32:07
问题 how can I combine these two functions in to one recursive function to have this result: factorial(6) 1! = 1 2! = 2 3! = 6 4! = 24 5! = 120 6! = 720 these are the codes def factorial( n ): if n <1: # base case return 1 else: return n * factorial( n - 1 ) # recursive call def fact(n): for i in range(1, n+1 ): print "%2d! = %d" % ( i, factorial( i ) ) fact(6) 1! = 1 2! = 2 3! = 6 4! = 24 5! = 120 6! = 720 as you see execution of these two gives a correct answer, I just want to make it to one

How to check if a number is an integer in Pari/GP?

僤鯓⒐⒋嵵緔 提交于 2020-01-17 06:18:12
问题 I'm trying to write an if statement like this if(denominator([(i-1)! + 1] / i)-1,print(hi),print(ho)) i can be any integer for example 10, when I set i to 10 it gives this error. ? [(x-1)! + 1] / x *** this should be an integer: [(x-1)!+1]/x ^----------- I really only need to check if [(x-1)! + 1] / x is an integer or not the denominator thing is what I came up with, I also tried Mod but couldn't get that working either. 回答1: It seems that you are confused with the names x and i . Please, see