【LeetCode】754. Reach a Number 解題報告(Python & C++)
阿新 • • 發佈:2018-11-27
作者: 負雪明燭
id: fuxuemingzhu
個人部落格: http://fuxuemingzhu.cn/
目錄
題目地址:https://leetcode.com/problems/reach-a-number/description/
題目描述
You are standing at position 0
on an infinite number line. There is a goal at position target
On each move, you can either go left or right. During the n-th move (starting from 1), you take n steps.
Return the minimum number of steps required to reach the destination.
Example 1:
Input: target = 3 Output: 2 Explanation: On the first move we step from 0 to 1. On the second step we step from 1 to 3.
Example 2:
Input: target = 2
Output: 3
Explanation:
On the first move we step from 0 to 1.
On the second move we step from 1 to -1.
On the third move we step from -1 to 2.
Note:
- target will be a non-zero integer in the range [-10^9, 10^9].
題目大意
每次走的步數是增加1步,方向是可以向左或者向右,求通過多少步之後能到達target。
解題方法
數學
非常不喜歡數學題,所以花花醬和Grandyang大神的帖子粘在這裡了。
花花醬:https://zxi.mytechroad.com/blog/math/leetcode-754-reach-a-number/
Grandyang大神:http://www.cnblogs.com/grandyang/p/8456022.html
class Solution(object):
def reachNumber(self, target):
"""
:type target: int
:rtype: int
"""
target = abs(target)
k = 0
sum = 0
while sum < target:
k += 1
sum += k
d = sum - target
if d % 2 == 0:
return k
return k + 1 + (k % 2)
C++版本如下:
class Solution {
public:
int reachNumber(int target) {
target = abs(target);
int k = 0;
int sum = 0;
while (sum < target) {
sum += (++k);
}
const int d = sum - target;
if (d % 2 == 0) return k;
return k + 1 + (k % 2);
}
};
日期
2018 年 11 月 26 日 —— 11月最後一週!