There is a discrete function. It is specified for integer arguments from 1 to N (2 ≤ N ≤ 100000). Each value of the function is longint (signed long in C++). You have to find such two points of the function for which all points between them are below than straight line connecting them and inclination of this straight line is the largest.
There is an N in the first line. Than N lines follow with the values of the function for the arguments 1, 2, …, N respectively.
A pair of integers, which are abscissas of the desired points, should be written into one line of output. The first number must be less than the second one. If it is any ambiguity your program should write the pair with the smallest first number.
Problem Source: Third Open USTU Collegiate Programming Contest (PhysTech Cup), March 18, 2000