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leetcode-410-分割数组的最大值

时间:2020-07-26 11:01:44      阅读:80      评论:0      收藏:0      [点我收藏+]

题目描述:

技术分享图片

 

 技术分享图片

 

 方法:二分法 O(N*log(summ - maxn))

class Solution:
    def splitArray(self, nums: List[int], m: int) -> int:
        n = len(nums)
        s = 0
        for num in nums: s += num
        l, r, ans = 0, s, s
        while l <= r:
            mid = (l + r) // 2
            flag, cnt, now = True, 1, 0
            for i in range(n):
                if nums[i] > mid:
                    flag = False
                    break
                if now + nums[i] > mid:
                    cnt += 1
                    now = 0
                now += nums[i]
            if flag and cnt <= m: ans, r = mid, mid - 1
            else: l = mid + 1
        return ans

 方法二:动态规划  来自官方题解: O(N2M) O(NM)

class Solution:
    def splitArray(self, nums: List[int], m: int) -> int:
        n = len(nums)
        f = [[10**18] * (m + 1) for _ in range(n + 1)]
        sub = [0]
        for elem in nums:
            sub.append(sub[-1] + elem)
        
        f[0][0] = 0
        for i in range(1, n + 1):
            for j in range(1, min(i, m) + 1):
                for k in range(i):
                    f[i][j] = min(f[i][j], max(f[k][j - 1], sub[i] - sub[k]))
        
        return f[n][m]

作者:LeetCode-Solution
链接:https://leetcode-cn.com/problems/split-array-largest-sum/solution/fen-ge-shu-zu-de-zui-da-zhi-by-leetcode-solution/
来源:力扣(LeetCode)
著作权归作者所有。商业转载请联系作者获得授权,非商业转载请注明出处。

 

leetcode-410-分割数组的最大值

原文:https://www.cnblogs.com/oldby/p/13379193.html

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