Statement

Marco is a great fan of the Himalaya mountains. For his next trip there, Marco wants to go through a sequence of N peaks on a straight line of varying height H_i (for i=0 … N-1), moving from the left to the right only using his beloved bobsleigh! More precisely, when starting with his bobsleigh in a peak, Marco runs up to a speed of V m/s, then lets its bobsleigh proceed on free fall, as long as it has enough energy to keep going. More precisely, Marco starts with a kinetic energy of 1/2 M V^2, where M is the mass of Marco and his bobsleigh. When moving from the i-th peak to the i+1-th peak, if H_i > H_i+1 then Marco will gain M G (H_i - H_i+1) kinetic energy, otherwise he will lose M G (H_i+1 - H_i) kinetic energy, where G = 10 m/s^2 is the gravitational acceleration. The bobsleigh can keep moving as long as the kinetic energy does not become negative...