问题简介 本文将介绍计算机算法中的经典问题——最大子数组问题(maximum subarray problem)。所谓的最大子数组问题,指的是:给定一个数组A,寻找A的和最大的非空连续子数组。比如,数组 A = [-2, -3, 4, -1, -2, 1, 5, -3], 最大子数组应为[4, -1, -2, 1, 5],其和为7。 首先,如果A中的元素全部为正(或非负数)
本文将介绍计算机算法中的经典问题——最大子数组问题(maximum subarray problem)。所谓的最大子数组问题,指的是:给定一个数组A,寻找A的和最大的非空连续...
1: int maxSubArray(int A[], int n) {2: // Start typing your C/C++ solution below3: // DO NOT write int main() function4: int maxV = INT_MIN;5: return maxArray(A, 0, n-1, maxV);6: }7: int maxArray(int A[], int left, int right, int& maxV)8: {9: if(left>ri...
The maximum subarray problem is the task of finding the contiguous subarray within a one-dimensional array of numbers (containing at least one positive number) which has the largest sum. For example, for the sequence of values −2, 1, −3, 4, −1, 2, 1, −5, 4; the contiguous...
subarray and the minimum subarray problems. Themaximum subarray problemis to find the contiguous subarray having the largest sum. Likewise, the minimum subarray problem is to find the contiguous subarray having the smallest sum. Variants of Kadane’s algorithm can solve these problems in O(N) ...
then the underlined subarray would be the one we are looking for (its "score" is 7×4 = 28) . Notice that if we changed "sum" into "min" the problem would be solvable in time. Similarly, if we changed "sum" into "gcd" the problem would still be solvable in ...
problem: Find the contiguous subarray within an array (containing at least one number) which has the largest sum. For example, given the array [−2,1,−3,4,−1,2,1,−5,4], the contiguous subarray [4,−1,2,1] has the largest sum = 6. ...
T. Takaoka, Efficient Algorithms for the Maximum Subarray Problem by Distance Matrix Multiplication, Electronic Notes in Theoretical Computer Science, Vol. 61, 2002, pp. 1-10.Efficient algorithms for the Maximum Subarray problem by distance matrix multiplication - Takaoka - 2002 () Citation Context ...
Hello everyone, I would like to quickly compute maximum sum subarray with queries (changeith element tox). Can we do it faster thanO(log(n))per query? The answer is no, and here is the reasoning. You can answer this question using some logic by reducing the problem to a known one. ...
Explanation: Subarray [4, −1, 2, 1] is the max sum contiguous subarray with a sum of 6. We would tackle this problem in the following two ways: Simple Approach Optimized Approach: Kadane’s Algorithm Simple Approach A simple approach to solving the Maximum Subarray Sum problem involves ...