Algorithm
Problem Name: 768. Max Chunks To Make Sorted II
You are given an integer array arr
.
We split arr
into some number of chunks (i.e., partitions), and individually sort each chunk. After concatenating them, the result should equal the sorted array.
Return the largest number of chunks we can make to sort the array.
Example 1:
Input: arr = [5,4,3,2,1] Output: 1 Explanation: Splitting into two or more chunks will not return the required result. For example, splitting into [5, 4], [3, 2, 1] will result in [4, 5, 1, 2, 3], which isn't sorted.
Example 2:
Input: arr = [2,1,3,4,4] Output: 4 Explanation: We can split into two chunks, such as [2, 1], [3, 4, 4]. However, splitting into [2, 1], [3], [4], [4] is the highest number of chunks possible.
Constraints:
1 <= arr.length <= 2000
0 <= arr[i] <= 108
Code Examples
#1 Code Example with Javascript Programming
Code -
Javascript Programming
const maxChunksToSorted = function(arr) {
const clonedArr = arr.slice(0);
let sum1 = 0;
let sum2 = 0;
let res = 0;
clonedArr.sort((a, b) => a - b);
for (let i = 0; i < arr.length; i++) {
sum1 += arr[i];
sum2 += clonedArr[i];
if (sum1 === sum2) res += 1;
}
return res;
};
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#2 Code Example with Python Programming
Code -
Python Programming
class Solution:
def maxChunksToSorted(self, arr):
mx, mn, res, check = 0, 10 ** 9, 0, [[0, 0] for _ in range(len(arr))]
for i in range(len(arr)):
if arr[i] > mx: mx = arr[i]
check[i][0] = mx
for i in range(len(arr) -1, -1, -1):
check[i][1] = mn
if arr[i] < mn: mn = arr[i]
for c in check:
if c[0] <= c[1]: res += 1
return res
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