Leetcode Problem 2604. Minimum Time to Eat All Grains

2604. Minimum Time to Eat All Grains

Leetcode Solutions

Binary Search + Greedy + Two Pointers

  1. Sort the arrays hens and grains in non-decreasing order.
  2. Perform a binary search on the time range from 0 to the maximum possible time.
  3. For each time t in the binary search, check if it is possible for the hens to finish all grains within t seconds using the greedy approach.
  4. For the greedy approach, iterate over the sorted hens array and use a pointer g to track the position of the left-most remaining grain.
  5. For each hen, calculate the maximum range [left, right] it can travel within the given time t.
  6. If there is a grain to the left of the hen, determine the optimal strategy to collect it and move forward.
  7. Consume all grains within the range [left, right] and update the grain pointer g.
  8. If all grains are consumed, return true; otherwise, return false.
  9. The binary search narrows down to the minimal time t required for all hens to finish the grains.
UML Thumbnail

Greedy Approach with Dynamic Programming

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