リスト内の連続で値を持つような場合、その期間と期間内の平均のリストが欲しい

check_continuous.py

lists = [0, 1, 2, 0, 1, 4, 0, 2, 3, 3]

# periods = [2, 2, 3]
# average = [1.5, 2.5, 2.6]
# が欲しい

periods = []
average = []
amount = 0
k = 0
period = 0
for i, list in enumerate(lists):
        if i >= k + period:
                if list > 0:
                        period = 1
                        amount = list
                        k = i
                        while len(lists) > k+1 and lists[k+1] > 0:
                                period += 1
                                amount += lists[k+1]
                                k += 1
                        print(period, amount/period)