Bridge at Midnight (contributed by Denis Borris) Eleven people on a war games weekend come to a railroad trestle. It is midnight and there is no moon. Crossing is very dangerous because the ties are slippery and unevenly spaced, but they need to get over in the shortest possible time. The people are of widely differing ages and fitness. The time it will take the people to cross is 5, 10, 15, 20, 30, 30, 35, 45, 50, 55 and 65 minutes, respectively. Each person knows everyone's time. They have just 2 small flashlights, and each one casts only enough light to allow two people to cross safely. Whenever 2 people cross together, they cross in the time of the slower person. Once they begin crossing, both flashlights are in constant motion, being carried across and back on the bridge. They are never held waiting for someone to arrive. The flashlights can be handed off at either end, but not part way. Crossers never turn around or stop on the bridge. The last sets of crossers all finish together. Also, the two people who need 30 minutes hate each other and will not cross together. How long does it take for everyone to cross? How is this accomplished?