You are given two arrays (without duplicates) nums1 and nums2 where nums1’s elements are subset of nums2. Find all the next greater numbers for nums1's elements in the corresponding places of nums2.
The Next Greater Number of a number x in nums1 is the first greater number to its right in nums2. If it does not exist, output -1 for this number.
Example 1:
Input: nums1 = [4,1,2], nums2 = [1,3,4,2]. Output: [-1,3,-1] Explanation: For number 4 in the first array, you cannot find the next greater number for it in the second array, so output -1. For number 1 in the first array, the next greater number for it in the second array is 3. For number 2 in the first array, there is no next greater number for it in the second array, so output -1.
Example 2:
Input: nums1 = [2,4], nums2 = [1,2,3,4]. Output: [3,-1] Explanation: For number 2 in the first array, the next greater number for it in the second array is 3. For number 4 in the first array, there is no next greater number for it in the second array, so output -1.
Note:
- All elements in
nums1andnums2are unique. - The length of both
nums1andnums2would not exceed 1000.
Key observation:
Suppose we have a decreasing sequence followed by a greater number
For example [5, 4, 3, 2, 1, 6] then the greater number 6 is the next greater element for all previous numbers in the sequence
x greater than
stack.peek() we pop all elements less than
x and for all the popped ones, their next greater element is
x
For example
[9, 8, 7, 3, 2, 1, 6]
[9, 8, 7, 3, 2, 1] and then we see
6 which is greater than
1 so we pop
1 2 3 whose next greater element should be
6
class Solution(object):
def nextGreaterElement(self, findNums, nums):
a = findNums
b = nums
m = {}
s = []
for i in b:
while len(s) and s[-1] < i:
m[s.pop()] = i
s += i,
res = []
for i in a:
res += m.get(i,-1),
return res
"""
#a.sort()
#b.sort()
#print a,b
res = []
for i in a:
pos = b.index(i)
#bb = b[pos:]
j = pos
while j < len(b):
if b[j] > i:
res += b[j],
break
j += 1
if j == len(b):
res += -1,
return res
:type findNums: List[int]
:type nums: List[int]
:rtype: List[int]
"""

本文介绍了一种使用栈高效解决寻找数组中下一个更大元素的问题。通过观察递减序列及其后第一个较大数的特点,利用栈保持递减子序列,并巧妙地找到对应每个元素的下一个更大数。
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