一.题目
Total Accepted: 53222 Total Submissions: 216499 Difficulty: Hard
Given an array of non-negative integers, you are initially positioned at the first index of the array.
Each element in the array represents your maximum jump length at that position.
Your goal is to reach the last index in the minimum number of jumps.
For example:
Given array A = [2,3,1,1,4]
The minimum number of jumps to reach the last index is 2
. (Jump 1
step from index 0 to 1, then 3
steps to the last index.)
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二.解题技巧
这道题可以用贪心法来实现,每次选择下下一跳的位置最远的地方来作为下一跳,这样就可以用最小的步数来到达最后一个位置。
三.实现代码
#include <vector>
#include <algorithm>
#include <climits>
using std::vector;
using std::max_element;
class Solution
{
public:
int jump(vector<int>& nums)
{
const vector<int>::size_type SIZE = nums.size();
const vector<int>::size_type LastIndex = SIZE - 1;
if (SIZE < 2)
{
return 0;
}
//
for (vector<int>::size_type Index = 0; Index < SIZE; ++Index)
{
nums[Index] += Index;
}
vector<int>::iterator Now = nums.begin();
int Result = 1;
while (Now != nums.end())
{
if (*Now >= LastIndex)
{
return Result;
}
if (Now == nums.begin() + *Now)
{
return INT_MAX;
}
Now = max_element(Now + 1, nums.begin() + *Now + 1);
++Result;
}
return Result;
}
};
四.体会
这道题和Jump Game类似,只是返回值不一样。
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