LG | Onsite | Mario Jump Game

Hi Leetcoders,

I would like to share a problem from past LG coding challenge test. They use lengthy problem description, so I rephrase the problem as below:

Given an array of N<150000 size, each item with value 0<P<500. We want to make multiple jumps over the value at certain indexes in the array so that:
For each jump:

  • even jump (jumpCounter = even) will add value equal to P[i] where i is the index in the array
  • odd jump (jumpCounter = odd) will decrease equal to P[i] where i is the index in the array
  • find the total value such that it goes maximum.
  • there is no minimum constrain on the number of jump, but its max is N.
    Example: P = [7,2,1,8,4,3,5,6]
    Make 8 jumps => total value = 7-2+1-8+4-3+5-6=-2
    Make only 5 jumps => total value = 7-1+8-3+6=17 (note that the value of array[i] in odd jump should be selected to minize the creasing value)
    Make only 3 jumps => total value = 7-1+8 = 16
    Thus making 5 jump with value = 17 is the max achievable. Neither making too many jumps or too few jump would help.
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