问题:
给定n个数据,分成5个数组,所有子数组的和值尽可能相等
代码:
#子数组和类节点,存储和值和子数组编号
class node:
def __init__(self,a,b):
self.num=a
self.idx=b
#小顶堆实现函数
def HeapAdjust(s, a, n):
temp = s[a]
i=a*2
while i <= n:
if (i < n and s[i].num> s[i + 1].num):
i+=1
if (temp.num <= s[i].num):
break
s[a] = s[i]
a = i
i *= 2
s[a] = temp
def HeapSort(s, n):
i = n // 2
while i >= 1:
HeapAdjust(s, i, n)
i-=1
#类似哈夫曼树的构成规则的思路,将小的元素放在一起,同大的相当
def split_array(arr):
if len(arr)<=5:
res=[[x] for x in arr]
for i in range(5-len(res)):
res.append([])
return res
res=[[] for i in range(5)]
arr.sort(reverse=True)
nums=[[node(-1,-1)]]#堆排序第一个元素占位
for idx in range(5):
res[idx].append(arr[idx])
nums.append(node(arr[idx],idx))
HeapSort(nums,len(nums)-1)
for item in arr[5:]:
top_id=nums[1].idx
res[top_id].append(item)
nums[1].num+=item
HeapAdjust(nums,1,len(nums)-1)
return res
print(split_array([3,4,5,6,7,8,100,101,200,300,400,500]))
测试用例:
print(split_array([3,4,5,6,7,8,100,101,200,300,400,500]))
测试结果:
[[500], [400], [300], [200, 8, 5, 4], [101, 100, 7, 6, 3]]
原文:https://www.cnblogs.com/BetterThanEver_Victor/p/13040299.html