303. Range Sum Query - Immutable

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303. Range Sum Query - Immutable
Difficulty: Easy

Given an integer array nums, find the sum of the elements between indices i and j (i ≤ j), inclusive.
Example: Given nums = [-2, 0, 3, -5, 2, -1]
sumRange(0, 2) -> 1
sumRange(2, 5) -> -1
sumRange(0, 5) -> -3
Note:
You may assume that the array does not change.
There are many calls to sumRange function.

给定一个整数序列,求指定子序列和。
提示:数组不会发生变化;大量sumRange函数调用。

题目本身非常简单,只需要遍历 i 到 j ,累计得到和即可。但是,这样是TLE(time limit exceeded)的,所给提示也就没有意义了。

所以,题目考察的是效能,换一个方向思考,我们可以存储前i个元素的和;
那么[i,j]子序列和 =sum[j]−sum[i−1];
注意,i==0时,直接返回sum[j]即可。

struct NumArray {    int* a;    int* sum;    int len;};/** Initialize your data structure here. */struct NumArray* NumArrayCreate(int* nums, int numsSize) {    int i,temp;    struct NumArray* numarray;    numarray=(struct NumArray*)malloc(sizeof(struct NumArray));    numarray->a=nums;    numarray->len=numsSize;    numarray->sum=(int*)malloc(numarray->len*sizeof(int));    temp=0;    for(i=0;i<numsSize;i++)    //记录前i个值之和    {        temp+=numarray->a[i];        numarray->sum[i]=temp;    }    return numarray;}int sumRange(struct NumArray* numArray, int i, int j) {         if(i==0)     //若i=0直接为前j个值之和        return numArray->sum[j];    else         //若i>0则前j个值之和减去前i-1个值之和即为i到j的值之和        return numArray->sum[j]-numArray->sum[i-1];}/** Deallocates memory previously allocated for the data structure. */void NumArrayFree(struct NumArray* numArray) {    free(numArray->sum);    free(numArray);}// Your NumArray object will be instantiated and called as such:// struct NumArray* numArray = NumArrayCreate(nums, numsSize);// sumRange(numArray, 0, 1);// sumRange(numArray, 1, 2);//  (numArray);

要点:
1,结构体指针需要初始化,

struct NumArray* numarray=(struct NumArray*)malloc  (sizeof(struct NumArray));

2,结构体指针的成员指针同样需要初始化,

numarray->sum=(int*)malloc(numarray->len*sizeof(int));
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