Finds a contiguous subarray with the largest sum within an array of numbers.
- Use a greedy approach to keep track of the current
sumand the current maximum,maxSum. SetmaxSumto-Infinityto make sure that the highest negative value is returned, if all values are negative. - Define variables to keep track of the maximum start index,
sMax, maximum end index,eMaxand current start index,s. - Use
Array.prototype.forEach()to iterate over the values and add the current value to thesum. - If the current
sumis greater thanmaxSum, update the index values and themaxSum. - If the
sumis below0, reset it to0and update the value ofsto the next index. - Use
Array.prototype.slice()to return the subarray indicated by the index variables.
代码实现
const maxSubarray = (...arr) => {
let maxSum = -Infinity,
sum = 0;
let sMax = 0,
eMax = arr.length - 1,
s = 0;
arr.forEach((n, i) => {
sum += n;
if (maxSum < sum) {
maxSum = sum;
sMax = s;
eMax = i;
}
if (sum < 0) {
sum = 0;
s = i + 1;
}
});
return arr.slice(sMax, eMax + 1);
};
maxSubarray(-2, 1, -3, 4, -1, 2, 1, -5, 4); // [4, -1, 2, 1]