1、Two Sum

Given an array of integers, return indices of the two numbers such that they add up to a specific target.

You may assume that each input would have exactly one solution, and you may not use the same element twice.

Example:

Given nums = [2, 7, 11, 15], target = 9,

Because nums[0] + nums[1] = 2 + 7 = 9,
return [0, 1].
思路:
关键词:一遍迭代map
建立map,迭代一遍数组,第一个迭代开始检查numToFind是否存在于map中。存在就返回两者的index;
不存在就把当前的数组nums[i]插入到map。重复迭代下去。 C++:
class Solution {
public:
vector<int> twoSum(vector<int>& nums, int target) {
vector<int> res;
unordered_map<int,int> hash_map;
for(int i=;i<nums.size();i++)
{
int numToFind=target-nums[i];
if(hash_map.find(numToFind)!=hash_map.end())
{
res.push_back(i);
res.push_back(hash_map[numToFind]);
return res;
}
else
hash_map[nums[i]]=i;
}
return res;
}
};

python:

class Solution:
def twoSum(self, nums, target):
"""
:type nums: List[int]
:type target: int
:rtype: List[int]
"""
maps={}
for i in range(len(nums)):
if target-nums[i] in maps:
return i,maps[target-nums[i]]
else:
maps[nums[i]]=i
return -1,-1

7、Reverse Integer

Given a 32-bit signed integer, reverse digits of an integer.

Example 1:

Input: 123
Output: 321

Example 2:

Input: -123
Output: -321

Example 3:

Input: 120
Output: 21

Note:
Assume we are dealing with an environment which could only store integers within the 32-bit signed integer range: [−231,  231 − 1]. For the purpose of this problem, assume that your function returns 0 when the reversed integer overflows.

C++:
class Solution {
public:
int reverse(int x) {
long long res = ;
while(x) {
res = res* + x%;
x /= ;
}
return (res<INT_MIN || res>INT_MAX) ? : res;
}
};

python:

class Solution:
def reverse(self, x):
"""
:type x: int
:rtype: int
""" if x < 0:
result = (0 - int(str(0-x)[::-1]))
if result <= 2147483647 and result >= -2147483648:
return result
else:
return 0
else:
result = int(str(x)[::-1])
if result <= 2147483647 and result >= -2147483648:
return result
else:
return 0

9、Palindrome Number

Determine whether an integer is a palindrome. An integer is a palindrome when it reads the same backward as forward.

Example 1:

Input: 121
Output: true

Example 2:

Input: -121
Output: false
Explanation: From left to right, it reads -121. From right to left, it becomes 121-. Therefore it is not a palindrome.

Example 3:

Input: 10
Output: false
Explanation: Reads 01 from right to left. Therefore it is not a palindrome.

Follow up:

Coud you solve it without converting the integer to a string?

C++

//思路:反转后一样

class Solution {
public:
bool isPalindrome(int x) {
if(x<0|| (x!=0 &&x%10==0)) return false;
int sum=0;
int x1=x;
while(x)
{
sum = sum*10+x%10;
x = x/10;
}

return (x1==sum);
}
};

 

python

def isPalindrome(self, x):
if x < 0:
return False
p, res = x, 0
while p:
res = res * 10 + p % 10
p /= 10
return res == x

14、Longest Common Prefix

Write a function to find the longest common prefix string amongst an array of strings.

If there is no common prefix, return an empty string "".

Example 1:

Input: ["flower","flow","flight"]
Output: "fl"

Example 2:

Input: ["dog","racecar","car"]
Output: ""
Explanation: There is no common prefix among the input strings.

Note:

All given inputs are in lowercase letters a-z.

C++

First one: check from strs[][] to strs[i][]. If matches, check strs[][] to strs[i][].
思路:ans由0开始添加前缀
Code: class Solution {
public:
string longestCommonPrefix(vector<string>& strs) {
if(strs.size()==)
return "";
string ans="";
int max=INT_MAX;
for(auto& s:strs)
{
max=(max>s.length())?s.length():max;
}
for(int i=;i<max;i++)
{
bool flag=true;
char x=strs[][i];
for(auto& s:strs)
{
if(s[i]!=x)
{
flag=false;
break;
}
}
if(flag==false)
return ans;
ans+=x;
}
return ans;
}
}; ////////////////////////////////////////////////// Second one: assume the prefix is strs[]. Compair with strs[i], and cut the letters which don’t match.
ans由最小的串开始不断减少前缀
Code: class Solution {
public:
string longestCommonPrefix(vector<string>& strs) {
if(strs.size()==)
return "";
string ans=strs[];
int max=INT_MAX;
for(auto& s:strs)
{
if(s.length()==)
return "";
int i=;
for(i=;i<ans.length()&&i<s.length();i++)
{
if(s[i]!=ans[i])
break; //跳出整个循环
}
ans=ans.substr(,i);
} return ans;
}
}; //////////////////////////////////// Third one: use a Trie data structure to save the strs. Search the trie, and stops when a TrieNode has more than one son.
数据结构trie
Code: class TrieNode{
public:
bool val;
TrieNode* next[];
int sons;
TrieNode() :val(false), sons()
{
for (int i = ; i < ; i++)
next[i] = nullptr;
}
}; class Trie{
private:
TrieNode* putst(string& s, TrieNode * node, int loc, TrieNode *father)
{
if (s.length() == )
{
node->val = true;
node->sons++;
return node;
}
if (node == nullptr)
{
node = new TrieNode();
if (father != nullptr)
father->sons++;
}
if (loc == s.length())
{
node->val = true;
return node;
}
if (s[loc] >= 'a')
node->next[s[loc] - 'a'] = putst(s, node->next[s[loc] - 'a'], loc + , node);
else
node->next[s[loc] - 'A' + ] = putst(s, node->next[s[loc] - 'A' + ], loc + , node);
return node;
} public:
TrieNode *root;
void insert(string & str){ putst(str, root, , nullptr); }
Trie(){ root = new TrieNode(); }
}; class Solution {
private:
string findPre(TrieNode * node)
{
if (node == nullptr || (node != nullptr&&node->sons > ))
return string("");
int i = ;
for (i = ; i < ; i++)
{
if (node->next[i] != nullptr)
break;
}
if (i == )
return string("");
char temp1 = ((i>) ? ('A' + i) : ('a' + i));
string temp;
temp.insert(temp.begin(), temp1);
if (node->val)
{
return string("");
}
else
{
return temp + findPre(node->next[i]);
}
} public:
string longestCommonPrefix(vector<string>& strs) {
Trie a;
for (auto& str : strs)
a.insert(str);
return findPre(a.root);
}
};

python:good trick

def longestCommonPrefix(strs):
if not strs:
return "" for i, letter_group in enumerate(zip(*strs)): #返回所有字符串各自第一个元素组成的第一组元祖,例如("a","a")
if len(set(letter_group)) > 1:
return strs[0][:i]
else: #如果长度不一样,for在最短的字符串结束并跳到else
return min(strs) strs=["abcd","adef"]
print(longestCommonPrefix(strs))

同c++的第二种方法

 def longestCommonPrefix(self, strs):
"""
:type strs: List[str]
:rtype: str
"""
if not strs:
return ""
shortest = min(strs,key=len)
for i, ch in enumerate(shortest):
for other in strs:
if other[i] != ch:
return shortest[:i]
return shortest

20、Valid Parentheses

Given a string containing just the characters '('')''{''}''[' and ']', determine if the input string is valid.

An input string is valid if:

  1. Open brackets must be closed by the same type of brackets.
  2. Open brackets must be closed in the correct order.

Note that an empty string is also considered valid.

Example 1:

Input: "()"
Output: true

Example 2:

Input: "()[]{}"
Output: true

Example 3:

Input: "(]"
Output: false

Example 4:

Input: "([)]"
Output: false

Example 5:

Input: "{[]}"
Output: true

C++

class Solution {
public:
bool isValid(string s) {
stack<char> paren;
for (char& c : s) {
switch (c) {
case '(': paren.push(c); break;
case '{': paren.push(c); break;
case '[': paren.push(c); break;
case ')': if (paren.empty() || paren.top()!='(') return false; else paren.pop(); break;
case '}': if (paren.empty() || paren.top()!='{') return false; else paren.pop(); break;
case ']': if (paren.empty() || paren.top()!='[') return false; else paren.pop(); break;
default: ; // pass
}
}
return paren.empty() ;
}
};

python

class Solution:
def isValid(self, s):
stack = []
dict = {"]":"[", "}":"{", ")":"("}
for char in s:
if char in dict.values():
stack.append(char)
elif char in dict.keys():
if stack == [] or dict[char] != stack.pop():
return False
else:
return False
return stack == []

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