"BerNafta and Sons"
Recently, due to the rise in global oil prices, a new oil field was discovered in Berlandia. There are N oil rigs that have been constructed. The government of Berlandia has allocated funds for only one, but very long, straight pipeline. The people of Berlandia aim to maximize their benefit by laying the pipeline through the greatest number of rigs possible. You have been hired by the corporation "BerOil and Sons" as a programmer. Your task is to write a program that calculates the maximum number of rigs through which a single straight pipeline can be laid.
Input
The first line of the input file contains a natural number N (1 ≤ N ≤ 600). The following N lines provide the locations of the oil rigs. Each rig is described by a pair of numbers representing its coordinates in a rectangular coordinate system. All coordinates are integers that do not exceed 10^3 in absolute value.
Output
Output a single natural number—the maximum number of rigs through which a single straight pipeline can be laid.