Five young athletes named Jay, Ken, Lee, Mike, and Nick took part in a contest of five events: the high jump, the shot put, the mile run, the hurdles, and the 100-meter dash.   It was agreed that a first-place finish would receive 1 point, a second-place finish 2 points, and so on; and that the competitor with the lowest point total would be declared the overall pentathlon winner.   As it turned out, there were no ties in any single event, and no ties for overall points in the pentathlon.   When the meet was over, the five athletes made a number of statements, which are recorded below.   These statements, all true, will enable a dedicated logician to determine the placement of all the athletes in each event and in the final standings.

STATEMENTS

JAY:
1. Mike beat me in the high jump, but lost to Lee in the shot put.
2. Ken finished with 14 points in the pentathlon.

KEN:
3. Mike was first in two events, but he did not win the pentathlon.
4. Jay did not finish last in the mile or the shot put, but Nick was last in the hurdles.

LEE:
5. Nick beat me in the shot put and in just one other event, and he beat Jay in the high jump; but Nick did not place first in either the shot put or high jump.
6. Jay finis~ed one place ahead of me in the hurdles, but lost to me in the shot put.

MIKE:
7. Ken beat Nick in the mile, but lost to him in the 1 OO-meter dash; neither man placed first in either event.
8. I did not win the mile, and Jay did not finish second in the 100-meter dash.

NICK:
9. Jay finished in a different position in each event.
10. Without winning either event, Lee beat Mike in the high jump, and beat Ken in the mile. 

High Jump 		Shot Put 		Mile
1. 			1. 			1.
2. 			2. 			2.
3. 			3. 			3.
4. 			4. 			4.
5. 			5. 			5.

Hurdles 		Dash
1. 			1.
2. 			2.
3. 			3.
4. 			4.
5. 			5.