Algorithm


Problem Name: 621. Task Scheduler

Given a characters array tasks, representing the tasks a CPU needs to do, where each letter represents a different task. Tasks could be done in any order. Each task is done in one unit of time. For each unit of time, the CPU could complete either one task or just be idle.

However, there is a non-negative integer n that represents the cooldown period between two same tasks (the same letter in the array), that is that there must be at least n units of time between any two same tasks.

Return the least number of units of times that the CPU will take to finish all the given tasks.

 

Example 1:

Input: tasks = ["A","A","A","B","B","B"], n = 2
Output: 8
Explanation: 
A -> B -> idle -> A -> B -> idle -> A -> B
There is at least 2 units of time between any two same tasks.

Example 2:

Input: tasks = ["A","A","A","B","B","B"], n = 0
Output: 6
Explanation: On this case any permutation of size 6 would work since n = 0.
["A","A","A","B","B","B"]
["A","B","A","B","A","B"]
["B","B","B","A","A","A"]
...
And so on.

Example 3:

Input: tasks = ["A","A","A","A","A","A","B","C","D","E","F","G"], n = 2
Output: 16
Explanation: 
One possible solution is
A -> B -> C -> A -> D -> E -> A -> F -> G -> A -> idle -> idle -> A -> idle -> idle -> A

 

Constraints:

  • 1 <= task.length <= 104
  • tasks[i] is upper-case English letter.
  • The integer n is in the range [0, 100].
 

Code Examples

#1 Code Example with C Programming

Code - C Programming


int cmp(const void *a, const void *b) {
    return *(int *)a < *(int *)b ?  1 :
           *(int *)a > *(int *)b ? -1 : 0;
}
int leastInterval(char* tasks, int tasksSize, int n) {
    int c[26] = { 0 };
    int i, k;
    for (i = 0; i  <  tasksSize; i ++) {
        c[tasks[i] - 'A'] ++;
    }
    qsort(c, 26, sizeof(int), cmp);
    i = 1;
    while (i  <  26 && c[i] == c[0]) {
        i ++;
    }
    k = (c[0] - 1) * (n + 1) + i;
    return tasksSize > k ? tasksSize : k;
}
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Input

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tasks = ["A","A","A","B","B","B"], n = 2

Output

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8

#2 Code Example with C++ Programming

Code - C++ Programming


class Solution {
public:
    int leastInterval(vector<char>& tasks, int n) {
        unordered_mapm;
        for(auto x: tasks) m[x]++;
        priority_queue < pair<int, char>>pq;
        for(auto x: m) pq.push(make_pair(x.second, x.first));
        int sum = 0;
        while(!pq.empty()){
            int time = 0;
            vector < pair<int, char>>v;
            for(int i = 0; i  <  n + 1; i++)
                if(!pq.empty()){
                    v.push_back(pq.top());
                    pq.pop();
                    time++;
                }
            for(auto x: v) if(--x.first) pq.push(x);
            sum += !pq.empty() ? n + 1 : time;
        }
        return sum;
    }
};
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Input

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tasks = ["A","A","A","B","B","B"], n = 2

Output

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8

#3 Code Example with Java Programming

Code - Java Programming


class Solution {
  public int leastInterval(char[] tasks, int n) {
    int[] frequencies = new int[26];
    for (char task : tasks) {
      frequencies[task - 'A']++;
    }
    Arrays.sort(frequencies);
    int maxFrequency = frequencies[25];
    int idleTime = (maxFrequency - 1) * n;
    for (int i = frequencies.length - 2; i >= 0 && idleTime > 0; i--) {
      idleTime -= Math.min(maxFrequency - 1, frequencies[i]);
    }
    idleTime = Math.max(0, idleTime);
    return idleTime + tasks.length;
  }
}
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Input

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tasks = ["A","A","A","B","B","B"], n = 0

Output

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6

#4 Code Example with Javascript Programming

Code - Javascript Programming


const leastInterval = function (tasks, n) {
  const len = tasks.length
  const cnt = Array(26).fill(0)

  const A = 'A'.charCodeAt(0)
  let maxFreq = 0,
    maxFreqCnt = 0
  for (const ch of tasks) {
    const idx = ch.charCodeAt(0) - A
    cnt[idx]++
    if (maxFreq === cnt[idx]) {
      maxFreqCnt++
    } else if (maxFreq < cnt[idx]) {
      maxFreqCnt = 1
      maxFreq = cnt[idx]
    }
  }

  const slot = maxFreq - 1
  const numOfPerSlot = n - (maxFreqCnt - 1)
  const available = len - maxFreq * maxFreqCnt
  const idles = Math.max(0, slot * numOfPerSlot - available)
  return len + idles
}
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Input

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tasks = ["A","A","A","B","B","B"], n = 0

Output

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6

#5 Code Example with Python Programming

Code - Python Programming


class Solution:
    def leastInterval(self, tasks, n):
        cnt = sorted(collections.Counter(tasks).values())
        idles = (cnt[-1] - 1) * n
        for i in range(len(cnt) - 1): idles -= min(cnt[i], cnt[-1] - 1)
        return idles > 0 and idles + len(tasks) or len(tasks)
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Input

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tasks = ["A","A","A","A","A","A","B","C","D","E","F","G"], n = 2

Output

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16

#6 Code Example with C# Programming

Code - C# Programming


using System;

namespace LeetCode
{
    public class _0621_TaskScheduler
    {
        public int LeastInterval(char[] tasks, int n)
        {
            var count = new int[26];
            foreach (var ch in tasks)
                count[ch - 'A']++;

            Array.Sort(count);
            var max = count[25];
            var left_count = max - 1;
            var idleTime = left_count * (n + 1);
            for (int i = 25; i >= 0 && count[i] > 0 && idleTime > 0; i--)
                idleTime -= Math.Min(left_count, count[i]);

            if (idleTime > 0) return idleTime + tasks.Length;
            else return tasks.Length;
        }
    }
}
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Input

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tasks = ["A","A","A","A","A","A","B","C","D","E","F","G"], n = 2

Output

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16
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