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Generate the following sequence: | |
[1, 11, 21, 1211, 111221, 312211, 13112221 ] | |
Starting with "1", generate a sequence of numbers that describe the previous member of the sequence. | |
In this example, "1" is followed by "11" because there's "one 1". Then, to describe "11", you use "21" because | |
there are "two 1's". The next, 1211, describes "21" because there's "1 2, and 1 1". The next is "1 1, 1 2, 2 2s, and 2 1s" | |
hence "111221", Which leads to "3 1, 2 2, 1 1". | |
def make_sequence(num_to_produce): | |
initial = "1" | |
for sequence_num in range(0,num_to_produce): | |
this_string = "" | |
current_num = None | |
current_count = 0 | |
for index, number in enumerate(initial): | |
if number == current_num: | |
current_count += 1 | |
else: | |
if current_count >= 1: | |
this_string += "{}{}".format(current_count, current_num) | |
current_num = number | |
current_count = 1 | |
if len(initial) == index + 1: | |
this_string += "{}{}".format(current_count, current_num) | |
initial = this_string | |
yield this_string | |
if __name__ == "__main__": | |
print list(make_sequence(50)) | |
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