How to sum integers from 1 to n - sum

I must sum of the even integers between 1 and ' n ' (inclusive). For example for n = 5 program return 6(2+4). How to make it?

a = 0
for (i in n):
if (i.IsEven()):
a += i
return a
or something like that, also you can substitute iseven() for something simple like checking i%2 ==0

1..5 |> Enum.filter(&(rem(&1, 2) == 0)) |> Enum.sum
(In elixir. You didn't say which language.)

Related

i am new, program gives error "there are no type variables left in list"

How the game works is that there is a 3-digit number, and you have to guess it. If you guess a digit in the right spot, you get a strike, and if you guess a digit but in the wrong spot you get a ball. I've coded it like this.
x = random.randint(1, 9)
y = random.randint(1, 9)
z = random.randint(1, 9)
userguessunlisted = input('What number do you want to guess?')
numbertoguess = list[x, y, z]
userguess = list(userguessunlisted)
b = 0
s = 0
while 0 == 0:
if userguess[0] == numbertoguess[0]:
s = s + 1
if userguess[0] == numbertoguess[1]:
b = b + 1
if userguess[0] == numbertoguess[2]:
b = b + 1
if userguess[1] == numbertoguess[0]:
b = b + 1
if userguess[1] == numbertoguess[1]:
s = s + 1
if userguess[1] == numbertoguess[2]:
b = b + 1
if userguess[2] == numbertoguess[0]:
b = b + 1
if userguess[2] == numbertoguess[1]:
b = b + 1
if userguess[2] == numbertoguess[2]:
s = s + 1
print(s + "S", b + "B")
if s != 3:
b = 0
s = 0
else:
print('you win!')
break
When you said list[x, y, z] on line 5, you used square brackets, which python interprets to be a type annotation. For example, if I wanted to specify that a variable is a list of ints, I could say
my_list_of_ints: list[int] = [1, 2, 3]
I think what you meant to do is create a new list from x, y, and z. One way to do this is
numbertoguess = list([x, y, z])
which is probably what you meant to write. This is valid because the list function takes an iterable as its one and only argument.
However, the list portion is redundant; square brackets on the right-hand side of an assignment statement already means "create a list with this content," so instead you should simply say
numbertoguess = [x, y, z]
A few other notes:
input will return a string, but you are comparing that string to integers further down, so none of the comparisons will ever be true. What you want to say is something like the following:
while True:
try:
userguessunlisted = int(input('What number do you want to guess?'))
except:
continue
break
What this code does is attempts to parse the string returned from input into an int. If it fails to do so, which would happen if the user inputted something other than a valid integer, an exception would be thrown, and the except block would be entered. continue means go to the top of the loop, so the input line runs repeatedly until a valid int is entered. When that happens, the except block is skipped, so break runs, which means "exit the loop."
userguessunlisted is only ever going to contain 1 number as written, so userguess will be a list of length 1, and all of the comparisons using userguess[1] and userguess[2] will throw an IndexError. Try to figure out how to wrap the code from (1) in another loop to gather multiple guesses from the user. Hint: use a for loop with range.
It might also be that you meant for the user to input a 3-digit number all at once. In that case, you can use a list comprehension to grab each character from the input and parse it into a separate int. This is probably a bit complicated for a beginner, so I'll help you out:
[int(char) for char in input('What number do you want to guess?')]
print(s + "S", b + "B") will throw TypeError: unsupported operand type(s) for +: 'int' and 'str'. There are lots of ways to combine non-string types with strings, but the most modern way is using f-strings. For example, to combine s with "S", you can say f"{s}S".
When adding some amount to a variable, instead of saying e.g. b = b + 1, you can use the += operator to more concisely say b += 1.
It's idiomatic in python to use snake_case for variables and Pascal case for classes. So instead of writing e.g. numbertoguess, you should use number_to_guess. This makes your code more readable and familiar to other python programmers.
Happy coding!

Does `if` work only in combination with `else` in Series.apply(lambda x)?

I'm getting a SyntaxError for:
housing['Lot Area'].apply(lambda x: x + 50000 if x > 20000)
When I add else, the code runs fine:
housing['Lot Area'].apply(lambda x: x + 50000 if x > 20000 else x)
Does if only work in combination with else here? I'd like to increment x with 50000 only if x > 20000 -- otherwise I'd like x to remain unchanged. I find the else part a bit redundant here. Besides the first question before, is there any way to write this code without the else part?
Base on your description , even apply is not need here
housing.loc[housing['Lot Area']>20000,'Lot Area']+=50000
Comment from Alex :
if the if statement resolves to False for a value, then apply() doesn't return and just lets the value in the Series as it is
you're getting a SyntaxError because you are typing invalid syntax. the ternary operator must be used like
expression if bool else other_expression

Solving and producing and equation with variables indexed by a given set (Haskell)

I want to solve the following problem in Haskell:
Let n be a natural number and let A = [d_1 , ..., d_r] be a set of positive numbers.
I want to find all the positive solutions of the following equation:
n = Sum d_i^2 x_i.
For example if n= 12 and the set A= [1,2,3]. I would like to solve the following equation over the natural numbers:
x+4y+9z=12.
It's enough to use the following code:
[(x,y,z) | x<-[0..12], y<-[0..12], z<-[0..12], x+4*y+9*z==12]
My problem is if n is not fixed and also the set A are not fixed. I don't know how to "produce" a certain amount of variables indexed by the set A.
Instead of a list-comprehension you can use a recursive call with do-notation for the list-monad.
It's a bit more tricky as you have to handle the edge-cases correctly and I allowed myself to optimize a bit:
solve :: Integer -> [Integer] -> [[Integer]]
solve 0 ds = [replicate (length ds) 0]
solve _ [] = []
solve n (d:ds) = do
let maxN = floor $ fromIntegral n / fromIntegral (d^2)
x <- [0..maxN]
xs <- solve (n - x * d^2) ds
return (x:xs)
it works like this:
It's keeping track of the remaining sum in the first argument
when there this sum is 0 where are obviously done and only have to return 0's (first case) - it will return a list of 0s with the same length as the ds
if the remaining sum is not 0 but there are no d's left we are in trouble as there are no solutions (second case) - note that no solutions is just the empty list
in every other case we have a non-zero n (remaining sum) and some ds left (third case):
now look for the maximum number that you can pick for x (maxN) remember that x * d^2 should be <= n so the upper limit is n / d^2 but we are only interested in integers (so it's floor)
try all from x from 0 to maxN
look for all solutions of the remaining sum when using this x with the remaining ds and pick one of those xs
combine x with xs to give a solution to the current subproblem
The list-monad's bind will handle the rest for you ;)
examples
λ> solve 12 [1,2,3]
[[0,3,0],[3,0,1],[4,2,0],[8,1,0],[12,0,0]]
λ> solve 37 [2,3,4,6]
[[3,1,1,0],[7,1,0,0]]
remark
this will fail when dealing with negative numbers - if you need those you gonna have to introduce some more cases - I'm sure you figure them out (it's really more math than Haskell at this point)
Some hints:
Ultimately you want to write a function with this signature:
solutions :: Int -> [Int] -> [ [Int] ]
Examples:
solutions 4 [1,2] == [ [4,0], [0,1] ]
-- two solutions: 4 = 4*1^2 + 0*2^2, 4 = 0*1^2 + 1*2^2
solutions 22 [2,3] == [ [1,2] ]
-- just one solution: 22 = 1*2^2 + 2*3^2
solutions 10 [2,3] == [ ]
-- no solutions
Step 2. Define solutions recursively based on the structure of the list:
solutions x [a] = ...
-- This will either be [] or a single element list
solutions x (a:as) = ...
-- Hint: you will use `solutions ... as` here

Why is my conditional expression != ignored?

Here's my Fibonacci code using python 3.5
z = 0
x = 0
y = 1
while z != 317811:
x = x + y
z = x
print (z)
y = x + y
z = y
print (z)
I am wondering why this prints to infinity when setting the condition to
z != 317811
but works when it is below this number like
z != 196418
or a number greater than this like
z!= 514229
I tried a different approach (z <= 317811) but it prints up to 514229.
Thank you for your time.
KD
You're only testing alternate Fibonnaci numbers as the stopping condition: 317811 is getting missed.
One fix would be to test both x and y.
this is just logical problem
you are printing two
z != 317811
for this condition
"z"
is updated twice once in first z assignment i.e z = x
but "z" again get updated at second assignment z = y and then "z" is not sutisfying the condition(z != 317811) and not equal to 317811 but it is now 514229
Note: it will always work for number being printed at the second steps as this value of Z will be compared in while condition in loop
You are increasing z value twice a loop, but only checking once.
What actually is happening is that z is increasing with the fibonacci serie. Last values of z are:
196418
317811
514229
But you are only checking the stop condition once every two assignment. In this case you are checking that 196418 != 317811 and 514229 != 317811, thus never matching it.
One possible fix could be to test if z != 317811 after the first print. Even if in this case I would prefer testing "<" instead of "!="

Not Equal to This OR That in Lua

I am trying to verify that a variable is NOT equal to either this or that. I tried using the following codes, but neither works:
if x ~=(0 or 1) then
print( "X must be equal to 1 or 0" )
return
end
if x ~= 0 or 1 then
print( "X must be equal to 1 or 0" )
return
end
Is there a way to do this?
Your problem stems from a misunderstanding of the or operator that is common to people learning programming languages like this. Yes, your immediate problem can be solved by writing x ~= 0 and x ~= 1, but I'll go into a little more detail about why your attempted solution doesn't work.
When you read x ~=(0 or 1) or x ~= 0 or 1 it's natural to parse this as you would the sentence "x is not equal to zero or one". In the ordinary understanding of that statement, "x" is the subject, "is not equal to" is the predicate or verb phrase, and "zero or one" is the object, a set of possibilities joined by a conjunction. You apply the subject with the verb to each item in the set.
However, Lua does not parse this based on the rules of English grammar, it parses it in binary comparisons of two elements based on its order of operations. Each operator has a precedence which determines the order in which it will be evaluated. or has a lower precedence than ~=, just as addition in mathematics has a lower precedence than multiplication. Everything has a lower precedence than parentheses.
As a result, when evaluating x ~=(0 or 1), the interpreter will first compute 0 or 1 (because of the parentheses) and then x ~= the result of the first computation, and in the second example, it will compute x ~= 0 and then apply the result of that computation to or 1.
The logical operator or "returns its first argument if this value is different from nil and false; otherwise, or returns its second argument". The relational operator ~= is the inverse of the equality operator ==; it returns true if its arguments are different types (x is a number, right?), and otherwise compares its arguments normally.
Using these rules, x ~=(0 or 1) will decompose to x ~= 0 (after applying the or operator) and this will return 'true' if x is anything other than 0, including 1, which is undesirable. The other form, x ~= 0 or 1 will first evaluate x ~= 0 (which may return true or false, depending on the value of x). Then, it will decompose to one of false or 1 or true or 1. In the first case, the statement will return 1, and in the second case, the statement will return true. Because control structures in Lua only consider nil and false to be false, and anything else to be true, this will always enter the if statement, which is not what you want either.
There is no way that you can use binary operators like those provided in programming languages to compare a single variable to a list of values. Instead, you need to compare the variable to each value one by one. There are a few ways to do this. The simplest way is to use De Morgan's laws to express the statement 'not one or zero' (which can't be evaluated with binary operators) as 'not one and not zero', which can trivially be written with binary operators:
if x ~= 1 and x ~= 0 then
print( "X must be equal to 1 or 0" )
return
end
Alternatively, you can use a loop to check these values:
local x_is_ok = false
for i = 0,1 do
if x == i then
x_is_ok = true
end
end
if not x_is_ok then
print( "X must be equal to 1 or 0" )
return
end
Finally, you could use relational operators to check a range and then test that x was an integer in the range (you don't want 0.5, right?)
if not (x >= 0 and x <= 1 and math.floor(x) == x) then
print( "X must be equal to 1 or 0" )
return
end
Note that I wrote x >= 0 and x <= 1. If you understood the above explanation, you should now be able to explain why I didn't write 0 <= x <= 1, and what this erroneous expression would return!
For testing only two values, I'd personally do this:
if x ~= 0 and x ~= 1 then
print( "X must be equal to 1 or 0" )
return
end
If you need to test against more than two values, I'd stuff your choices in a table acting like a set, like so:
choices = {[0]=true, [1]=true, [3]=true, [5]=true, [7]=true, [11]=true}
if not choices[x] then
print("x must be in the first six prime numbers")
return
end
x ~= 0 or 1 is the same as ((x ~= 0) or 1)
x ~=(0 or 1) is the same as (x ~= 0).
try something like this instead.
function isNot0Or1(x)
return (x ~= 0 and x ~= 1)
end
print( isNot0Or1(-1) == true )
print( isNot0Or1(0) == false )
print( isNot0Or1(1) == false )