做题博客链接
https://blog.youkuaiyun.com/qq_43349112/article/details/108542248
题目链接
https://leetcode-cn.com/problems/range-sum-query-immutable/
描述
给定一个整数数组 nums,求出数组从索引 i 到 j(i ≤ j)范围内元素的总和,包含 i、j 两点。
实现 NumArray 类:
NumArray(int[] nums) 使用数组 nums 初始化对象
int sumRange(int i, int j) 返回数组 nums 从索引 i 到 j(i ≤ j)范围内元素的总和,包含 i、j 两点(也就
是 sum(nums[i], nums[i + 1], ... , nums[j]))
提示:
0 <= nums.length <= 104
-105 <= nums[i] <= 105
0 <= i <= j < nums.length
最多调用 104 次 sumRange 方法
示例
输入:
["NumArray", "sumRange", "sumRange", "sumRange"]
[[[-2, 0, 3, -5, 2, -1]], [0, 2], [2, 5], [0, 5]]
输出:
[null, 1, -1, -3]
解释:
NumArray numArray = new NumArray([-2, 0, 3, -5, 2, -1]);
numArray.sumRange(0, 2); // return 1 ((-2) + 0 + 3)
numArray.sumRange(2, 5); // return -1 (3 + (-5) + 2 + (-1))
numArray.sumRange(0, 5); // return -3 ((-2) + 0 + 3 + (-5) + 2 + (-1))
初始代码模板
class NumArray {
public NumArray(int[] nums) {
}
public int sumRange(int left, int right) {
}
}
/**
* Your NumArray object will be instantiated and called as such:
* NumArray obj = new NumArray(nums);
* int param_1 = obj.sumRange(left,right);
*/
代码
前缀和、模板题,定义一个数组,每个元素一个区间的和,例如用s[i]保存数组a[0] - a[i]的值。
具体题目可能会有些变动,不过思路就是这样。
数据大的时候考虑越界问题。
class NumArray {
int[] s;
public NumArray(int[] nums) {
s = new int[nums.length + 1];
for (int i = 1; i < s.length; i++) {
s[i] = s[i - 1] + nums[i - 1];
}
}
public int sumRange(int left, int right) {
return s[right + 1] - s[left];
}
}
/**
* Your NumArray object will be instantiated and called as such:
* NumArray obj = new NumArray(nums);
* int param_1 = obj.sumRange(left,right);
*/