Given a sequence of integers we are interested in frequencies of the sums of consecutive number pairs. For instance, the sums of consecutive number pairs of the input sequence are . Note that pair sums and have frecuency two, and the first pair in the sequence achieving a frecuency sum greater than one is . Write a program that given a limit and a sequence of integers computes the first pair of consecutive numbers achieving a frequency sum greater than . For instance, provided that is one and given the previous input sequence the first pair achieving a frequency sum greater than is .
Input consists of a nonnegative integer followed by a sequence of two or more integers.
The first pair of consecutive numbers in the input sequence achieving
frequency sum greater than
.
If there is no such a pair, the message
not found must be printed.
Input
1 5 7 6 5 8 4 5
Output
5 8
Input
2 5 7 6 5 8 4 5
Output
not found
Input
2 1 2 2 1 0 0 0 1 5 3 -3 -1 4
Output
3 -3