text: Gijswijt 's Sequence | if the sequence is a ( 1 ) a ( 2 ) a ( 3 ) . . a ( n - 1 ) check if the sequence can be represented as x * ( y ^ k ) find the largest value of k ; count ; pattern of elements of size i from the end of sequence ; count ; extract the pattern in a reverse order ; check how many times the pattern is repeated ; if the element dosent match ; if the end of pattern is reached set value of k = 0 and increase the count ; return the max count ; print first n terms of Gijswijt 's sequence ; set the count ; stoes the element ; print the first n terms of the sequence ; push the element ; find the count for next number ; Driver Code
code: def find_count ( ele ) : NEW_LINE INDENT count = 0 NEW_LINE for i in range ( len ( ele ) ) : NEW_LINE INDENT p = [ ] NEW_LINE c = 0 NEW_LINE j = len ( ele ) - 1 NEW_LINE while j >= ( len ( ele ) - 1 - i ) and j >= 0 : NEW_LINE INDENT p . append ( ele [ j ] ) NEW_LINE j -= 1 NEW_LINE DEDENT j = len ( ele ) - 1 NEW_LINE k = 0 NEW_LINE while j >= 0 : NEW_LINE INDENT if ele [ j ] != p [ k ] : NEW_LINE INDENT break NEW_LINE DEDENT j -= 1 NEW_LINE k += 1 NEW_LINE if k == len ( p ) : NEW_LINE INDENT c += 1 NEW_LINE k = 0 NEW_LINE DEDENT DEDENT count = max ( count , c ) NEW_LINE DEDENT return count NEW_LINE DEDENT def solve ( n ) : NEW_LINE INDENT count = 1 NEW_LINE ele = [ ] NEW_LINE for i in range ( n ) : NEW_LINE INDENT print ( count , end = " ▁ " ) NEW_LINE ele . append ( count ) NEW_LINE count = find_count ( ele ) NEW_LINE DEDENT DEDENT if __name__ == " _ _ main _ _ " : NEW_LINE INDENT n = 10 NEW_LINE solve ( n ) NEW_LINE DEDENT