|
| 1 | +package com.thealgorithm.binsearch; |
| 2 | + |
| 3 | +/** |
| 4 | + * @author: Subham Santra |
| 5 | + */ |
| 6 | +public class KokoEatingBananas { |
| 7 | + public int minEatingSpeed(int[] piles, int h) { |
| 8 | + long hi = 0L; |
| 9 | + long lo = 1; |
| 10 | + for (int pile : piles) { |
| 11 | + hi = Math.max(pile, hi); |
| 12 | + } |
| 13 | + // System.out.printf("Range speed %d to %d\n", lo, hi); |
| 14 | + // start binary search |
| 15 | + long minimumSpeed = 1L; |
| 16 | + while (lo <= hi) { |
| 17 | + long mid = ((hi - lo) >> 1) + lo; |
| 18 | + long kokoFinishTime = kokoFinishTime(piles, mid); |
| 19 | + // System.out.printf("finish time %d for speed %d\n", kokoFinishTime, mid); |
| 20 | + if (kokoFinishTime <= h) { |
| 21 | + // Taking exact same time or even less, we shall reduce speed and check |
| 22 | + minimumSpeed = mid; |
| 23 | + hi = mid - 1; |
| 24 | + } else { |
| 25 | + // Taking more time to finish, to reduce time, we need to increase speed |
| 26 | + lo = mid + 1; |
| 27 | + } |
| 28 | + } |
| 29 | + return (int) minimumSpeed; |
| 30 | + } |
| 31 | + |
| 32 | + long kokoFinishTime(int[] piles, long speed) { |
| 33 | + long carry = 0L; |
| 34 | + for (double pile : piles) { |
| 35 | + carry += (long) Math.ceil(pile / speed); |
| 36 | + } |
| 37 | + return carry; |
| 38 | + } |
| 39 | + |
| 40 | + public static void main(String[] args) { |
| 41 | + System.out.println(new KokoEatingBananas().minEatingSpeed(new int[] {3, 6, 7, 11}, 8)); |
| 42 | + System.out.println(new KokoEatingBananas().minEatingSpeed(new int[] {100}, 99)); |
| 43 | + System.out.println( |
| 44 | + new KokoEatingBananas() |
| 45 | + .minEatingSpeed(new int[] {805306368, 805306368, 805306368}, 1000000000)); |
| 46 | + } |
| 47 | +} |
0 commit comments