I added several print statements to instrument my `train_naive_bayes`

function and here’s what I see when I run that test cell:

```
type(wordlist) <class 'list'>
V = 9165, len(wordlist) 11436
V: 9165, V_pos: 5804, V_neg: 5632, D: 8000, D_pos: 4000, D_neg: 4000, N_pos: 27547, N_neg: 27152
freq_pos for smile = 47
freq_neg for smile = 9
loglikelihood for smile = 1.5577981920239676
0.0
9165
```

The most common error on this function is simply to add one to `N_pos`

and `N_neg`

for each occurrence. The intent here is that you add the actual frequency each time by looking it up in the `freqs`

dictionary that was passed in as an argument.

Of course there are other moving parts here, e.g. check the order of operations on your computation of `p_w_pos`

and `p_w_neg`

.