Write a program that, given a sequence of lines with words, tells which is the last line that has the words in increasing (lexicographic) order.
Input
Input consists of a sequence of lines with words. Each line begins with a number n, followed by n words made up of only lowercase letters.
Output
Print the index of the last line with the words in (not necessary strictly) increasing order. If there is no such line, tell so. Follow the format of the examples.
Input
5 i am not in order 2 neither me 4 i yes yes yes 1 idem
Output
The last line in increasing order is 4.
Input
4 one two three four 5 e d c b a
Output
There is no line in increasing order.
Input
0
Output
The last line in increasing order is 1.