In many races competitors wear a RFID tag on their shoes or bibs. When the racer crosses a sensor a computer logs the racer's number along with the current time. Sensors can be placed along the course to accurately calculate the racer's finish time or pace and also to verify that the racer crossed key checkpoints. Consider such a system in use for a half-marathon running race, which is 13.1 miles. In this problem there are only three sensors: at the start, at the 7-mile point, and at the finish line. Here is sample data for three racers. The first line is the gun time in the 24-hour time format (HH MM SS). The gun time is when the race begins. Subsequent lines are recorded by sensors and contain the sensor ID (0-start, 1-midpoint, 2-finish) followed by the racer's number followed by the time stamp. The start time may be different than the gun time because sometimes it takes a racer a little while to get to the starting line when there is a large pack. 08 00 00 0 100 08 00 00 0 132 08 00 13 0 182 08 00 15 1 100 0850 46 1 182 08 51 15 1 132 08 51 18 2 132 09 34 16 2 100 09 35 10 2 |19209|45|15