<SYSTEM_TASK:>
Solve the following problem using Python, implementing the functions described below, one line at a time
<END_TASK>
<USER_TASK:>
Description:
 def input_line_to_visible_line(self):
 """ Return the dictionary mapping the line numbers of the input buffer to the lines of the screen. When a line spans several rows at the screen, the first row appears in the dictionary. """

        result = {}
        for k, v in self.visible_line_to_input_line.items():
            if v in result:
                result[v] = min(result[v], k)
            else:
                result[v] = k
        return result