I think I found a solution that uses the Sliding Window approach with O(N+M) time instead of O(N * M * Length)
def find_word_concatenation(string, words):
result_indices = []
if len(words) == 0 or len(words[0]) == 0:
return []
#Get hashmap of word frequencies
word_frequencies = {}
for word in words:
if word in word_frequencies:
word_frequencies[word] += 1
else:
word_frequencies[word] = 1
#Start_index keeps track of the start of a new word
window_start, matched, start_index = 0, 0, 0
word_length = len(words[0])
for window_end in range(len(string)):
if string[start_index: window_end + 1] in word_frequencies:
word_frequencies[string[start_index: window_end + 1]] -= 1
if word_frequencies[string[start_index: window_end + 1]] == 0:
matched += 1
start_index = window_end + 1
if matched == len(word_frequencies):
result_indices.append(window_start)
word_frequencies[string[window_start: window_start + word_length]] += 1
matched -= 1
window_start += word_length
#If the length the current window is larger than the length of 2 words
# We know that soomething is wrong, so we move the start_index pointer to the second word in the window
if window_end - window_start + 1 > word_length * 2:
if string[window_start: window_end - word_length] in word_frequencies:
word_frequencies[string[window_start: window_start + word_length]] += 1
if word_frequencies[string[window_start: window_start + word_length]] != 0:
matched -= 1
window_start += word_length
start_index = window_end
return result_indices
Sorry for the bad formatting XD. Let me know if I missed something.