human
I found an interesting problem on https://www.codewars.com/kata/53cf7e37e9876c35a60002c9:
[Currying and partial application](http://www.2ality.com/2011/09/currying-vs-part-eval.html) are two ways of transforming a function into another function with a generally smaller arity. While they are often confused with each other, they work differently. The goal is to learn to differentiate them.

## Currying

> Is the technique of transforming a function that takes multiple arguments in such a way that it can be called as a chain of functions each with a single argument.

Currying takes a function:

```
f: X × Y → R
```

and turns it into a function:

```
f': X → (Y → R)
```

Instead of calling `f` with two arguments, we invoke `f'` with the first argument. The result is a function that we then call with the second argument to produce the result. Thus, if the uncurried `f` is invoked as:

```
f(3, 5)
```

then the curried `f'` is invoked as:

`f'(3)(5)`

### Example

Given this function:

```python
def add(x, y, z):
  return x + y + z
```

We can call in a normal way:

```python
add(1, 2, 3) # => 6
```

But we can create a curried version of `add(a, b, c)`function:

```python
curriedAdd = lambda a: (lambda b: (lambda c: add(a,b,c)))
curriedAdd(1)(2)(3) # => 6
```

## Partial application

> Is the process of fixing a number of arguments to a function, producing another function of smaller arity.

Partial application takes a function:

```
f: X × Y → R
```

and a fixed value `x` for the first argument to produce a new function

```
f': Y → R
```

`f'` does the same as `f`, but only has to fill in the second parameter which is why its arity is one less than the arity of `f`. One says that the first argument is bound to `x`.

### Example

```python
partialAdd = lambda a: (lambda *args: add(a,*args))
partialAdd(1)(2, 3) # => 6
```

-------------

Your work is to implement a generic `curryPartial()` function allows either currying or partial application.

For example:

```python
curriedAdd = curryPartial(add)
curriedAdd(1)(2)(3) # => 6

partialAdd = curryPartial(add, 1)
partialAdd(2, 3) # => 6
```

We want the...

I tried it in Python, but could not do it. Can you solve it?

 Can you provide a the Python program you requested?
assistant
#Here is the Python program you requested.

def curry_partial(f,*initial_args):
    def f1(*args):
        def f2(*args2):

            if not callable(f):                             return f     #we are done already
            elif f.__code__.co_argcount == 0:               return f(*(args+args2))# nested call
            elif f.__code__.co_argcount > len(args+args2):  return f1(*(args+args2))#not enough args
            else:                                           return f(*(args+args2)[0:f.__code__.co_argcount])#victory

        return f2
    return f1(*initial_args)()