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2.66 kB
| var NumArray = function(nums) { | |
| this.nums = nums; | |
| this.st = []; | |
| this.constructST(); | |
| }; | |
| //construct segment tree :: start | |
| NumArray.prototype.constructSTUtil = function(segmentStart, segmentEnd, segmentTreeIndex){ | |
| var mid; | |
| // 如果数组只包含一个元素 | |
| // 将其存储与线段树的当前节点并返回 | |
| if(segmentStart === segmentEnd){ | |
| this.st[segmentTreeIndex] = this.nums[segmentStart]; | |
| return this.st[segmentTreeIndex]; | |
| } | |
| // 如果有不止一个元素, | |
| // 则递归计算左右子树,并将两者之和存储与节点内,并返回 | |
| mid = this.getMid(segmentStart,segmentEnd); | |
| this.st[segmentTreeIndex] = this.constructSTUtil(segmentStart , mid ,segmentTreeIndex*2+1) + | |
| this.constructSTUtil(mid+1, segmentEnd ,segmentTreeIndex*2+2); | |
| return this.st[segmentTreeIndex]; | |
| } | |
| NumArray.prototype.constructST = function(){ | |
| var n = this.nums.length; | |
| if(n === 0){ | |
| return false; | |
| } | |
| this.constructSTUtil( 0, n-1, 0); | |
| } | |
| //construct segment tree :: end | |
| //update array and segment tree :: start | |
| NumArray.prototype.update = function(index, value){ | |
| var n = this.nums.length, | |
| diff = value - this.nums[index] | |
| this.nums[index] = value; | |
| this.updateUtil(0,n-1,index,diff,0) | |
| } | |
| NumArray.prototype.updateUtil = function(segmentStart , segmentEnd , index , diff ,segmentTreeIndex){ | |
| if(index < segmentStart || index > segmentEnd){ | |
| return; | |
| } | |
| // 如果输入下标在节点范围之内, | |
| // 则更新节点及其孩子的值 | |
| this.st[segmentTreeIndex] += diff; | |
| if (segmentStart != segmentEnd){ | |
| var mid = this.getMid(segmentStart, segmentEnd); | |
| this.updateUtil(segmentStart, mid, index, diff, 2*segmentTreeIndex + 1); | |
| this.updateUtil(mid+1, segmentEnd, index, diff, 2*segmentTreeIndex + 2); | |
| } | |
| } | |
| //update array and segment tree :: end | |
| //get sum :: start | |
| NumArray.prototype.sumRange = function(start ,end){ | |
| var self = this, | |
| n = this.nums.length; | |
| var getSumUtil = function(segmentStart ,segmentEnd , start, end, segmentTreeIndex){ | |
| var mid; | |
| // 如果当前节点存储的线段是区间的一部分, | |
| // 返回当前线段的和 | |
| if(segmentStart >= start && segmentEnd <= end){ | |
| return self.st[segmentTreeIndex]; | |
| } | |
| if(start > segmentEnd || end < segmentStart){ | |
| return 0; | |
| } | |
| mid = self.getMid(segmentStart,segmentEnd); | |
| return getSumUtil(segmentStart ,mid ,start , end, 2*segmentTreeIndex+1) + | |
| getSumUtil(mid+1 ,segmentEnd ,start , end, 2*segmentTreeIndex+2) | |
| } | |
| return getSumUtil(0,n-1,start,end,0); | |
| } | |
| NumArray.prototype.getMid = function(start , end){ | |
| return start + Math.floor((end - start)/2); | |
| } | |