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  1. Minimum Time Required
  2. Discussions

Minimum Time Required

  • IchbinJasmin
     + 0 comments

    JS Solution

    If minDays += 1 instead of minDays = midDays + 1 is used, the time complexity would exceed the limit. Can anyone explain why?

    function minTime(machines, goal) {
  let minDays = 0;
  let maxDays = Math.max(...machines) * goal;

  while (minDays < maxDays) { 
    let midDays = Math.floor((minDays + maxDays) / 2);
    let totalItems = 0;

    for (let machine of machines) {
      totalItems += Math.floor(midDays / machine);
    }

    if (totalItems < goal) {
      minDays = midDays + 1;
    } else {
      maxDays = midDays;
    }
  }
  return minDays;
}

// console.log(minTime([2, 3, 2], 10)); // 8
// console.log(minTime([2, 3], 5)); // 6
// console.log(minTime([1, 3, 4], 10)); // 7
// console.log(minTime([4, 5, 6], 12)); // 20