410. Split Array Largest Sum 把数组划分为m组,怎样使最大和最小

[抄题]:

Given an array which consists of non-negative integers and an integer m, you can split the array into m non-empty continuous subarrays. Write an algorithm to minimize the largest sum among these m subarrays.

Note:
If n is the length of array, assume the following constraints are satisfied:

  • 1 ≤ n ≤ 1000
  • 1 ≤ m ≤ min(50, n)

Examples:

Input:
nums = [7,2,5,10,8]
m = 2

Output:
18

Explanation:
There are four ways to split nums into two subarrays.
The best way is to split it into [7,2,5] and [10,8],
where the largest sum among the two subarrays is only 18.

[暴力解法]:

时间分析:

空间分析:

[优化后]:

时间分析:

空间分析:

[奇葩输出条件]:

[奇葩corner case]:

[思维问题]:

p.p1 { margin: 0.0px 0.0px 0.0px 0.0px; line-height: 22.0px; font: 15.0px "Helvetica Neue" }

不知道干嘛用二分法:二分法可以通过mid的移动 找一个位置

[英文数据结构或算法,为什么不用别的数据结构或算法]:

[一句话思路]:

想不到:最大的数肯定要分隔开,就看能往左划几个数和它一组

[7,2,5,10,8,105550]
3
返回105550

分组不超过m就往左扩展 否则往右

[输入量]:空: 正常情况:特大:特小:程序里处理到的特殊情况:异常情况(不合法不合理的输入):

[画图]:

[一刷]:

[二刷]:

[三刷]:

[四刷]:

[五刷]:

[五分钟肉眼debug的结果]:

[总结]:

多试试几个case 自然就明白了

[复杂度]:Time complexity: O() Space complexity: O()

[算法思想:递归/分治/贪心]:

[关键模板化代码]:

[其他解法]:

[Follow Up]:

[LC给出的题目变变变]:

[代码风格] :

[是否头一次写此类driver funcion的代码] :

原文地址:https://www.cnblogs.com/immiao0319/p/9097881.html

时间: 2024-11-14 17:09:57

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