题目链接:https://leetcode.com/problems/remove-k-digits/

Given a non-negative integer num represented as a string, remove k digits from the number so that the new number is the smallest possible.

Note:

  • The length of num is less than 10002 and will be ≥ k.
  • The given num does not contain any leading zero.

Example 1:

Input: num = "1432219", k = 3
Output: "1219"
Explanation: Remove the three digits 4, 3, and 2 to form the new number 1219 which is the smallest.

Example 2:

Input: num = "10200", k = 1
Output: "200"
Explanation: Remove the leading 1 and the number is 200. Note that the output must not contain leading zeroes.

Example 3:

Input: num = "10", k = 2
Output: "0"
Explanation: Remove all the digits from the number and it is left with nothing which is 0

思路:其基本思想是利用栈尽量维持一个递增的序列,也就是说将字符串中字符依次入栈,如果当前字符串比栈顶元素小,并且还可以继续删除元素,那么就将栈顶元素删掉,这样可以保证将当前元素加进去一定可以得到一个较小的序列.也可以算是一个贪心思想.最后我们只取前len-k个元素构成一个序列即可,如果这样得到的是一个空串那就手动返回0.还有一个需要注意的是字符串首字符不为0

代码如下:

class Solution {
public:
    string removeKdigits(string num, int k) {
        string ans;
        int n = k, len = num.size(), cnt = 0;
        for(auto val: num)
        {
            while(!ans.empty() && n > 0 && val < ans.back())
            {
                n--;
                ans.pop_back();
            }
            ans.push_back(val);
        }
        while(ans[cnt]=='0') cnt++;
        ans = ans.substr(cnt, len-k-cnt);
        return !ans.size()?"0":ans;
    }
};



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