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#If the integers from 1 to 999,999,999 are written as words, sorted alphabetically, and concatenated, what is the 51 billionth letter? | |
#where strings have no spaces | |
import time | |
singles = ["", "one", "two", "three", "four", "five", "six", "seven", "eight", "nine"] | |
singles.sort() | |
teens = ["ten", "eleven", "twelve", "thirteen", "fourteen", "fifteen", "sixteen", | |
"seventeen", "eighteen", "nineteen"] | |
teens.sort() | |
decades = ["twenty", "thirty", "forty", "fifty", "sixty", "seventy", "eighty", "ninety"] | |
decades.sort() | |
def get_full_decade(): | |
for x in decades: | |
for y in singles: | |
yield x + y; | |
def create_century(): | |
c = [x for x in get_full_decade()] | |
c.extend(singles) | |
c.extend(teens) | |
c.sort() | |
return c | |
century = create_century() | |
def get_hundreds(): | |
for x in century: | |
if not x == "": | |
yield x | |
if not x in singles: | |
continue | |
for c in century: | |
if not x == "": | |
yield x + "hundred" + c | |
def get_thousands(): | |
for x in get_hundreds(): | |
yield x | |
yield x + "thousand" | |
for y in get_hundreds(): | |
yield x + "thousand" + y | |
def get_millions(): | |
for x in get_hundreds(): | |
yield x | |
yield x + "million" | |
for y in get_thousands(): | |
yield x + "million" + y | |
#base 1 | |
def main(index_to_find): | |
count = 0; | |
start = time.time() | |
for x in get_millions(): | |
prev = count | |
count += len(x) | |
if count >= index_to_find: | |
idx = index_to_find - prev | |
print "this is the number ", x | |
print "this is character", x[idx - 1] | |
print "elapsed: ", time.time() - start | |
break |
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