diff --git a/Week_01/W01#0011_maxArea.cpp b/Week_01/W01#0011_maxArea.cpp new file mode 100644 index 0000000..6cc564a --- /dev/null +++ b/Week_01/W01#0011_maxArea.cpp @@ -0,0 +1,34 @@ +class Solution { +public: + int maxArea(vector& height) { + int i, j; + int hi, hj; + int s; + + i = 0; + hi = height[i]; + j = height.size() - 1; + hj = height[j]; + + s = 0; + + while (i < j) + { + s = max(s, (j-i)*min(hi, hj)); + + if (hi <= hj) + { + ++i; + hi = height[i]; + } + else + { + --j; + hj = height[j]; + } + } + + return s; + } +}; + diff --git a/Week_01/W01#0020_isValid.cpp b/Week_01/W01#0020_isValid.cpp new file mode 100644 index 0000000..4ec343e --- /dev/null +++ b/Week_01/W01#0020_isValid.cpp @@ -0,0 +1,26 @@ +class Solution { +public: + bool isValid(string s) { + stack stck; + int n = s.size(); + + for (int i = 0; i < n; ++i) + { + if (s[i] == '(' || s[i] == '[' || s[i] == '{') + stck.push(s[i]); + else if (stck.empty()) + return false; + else if (s[i] == ')' && stck.top() == '(') + stck.pop(); + else if (s[i] == ']' && stck.top() == '[') + stck.pop(); + else if (s[i] == '}' && stck.top() == '{') + stck.pop(); + else + return false; + } + + return stck.empty(); + } +}; + diff --git a/Week_01/W01#0155_minStack.cpp b/Week_01/W01#0155_minStack.cpp new file mode 100644 index 0000000..84ec0c5 --- /dev/null +++ b/Week_01/W01#0155_minStack.cpp @@ -0,0 +1,39 @@ +class MinStack { +public: + /** initialize your data structure here. */ + int minStack[7500], mn[7500]; + int i = 0; + + MinStack() { + + } + + void push(int x) { + minStack[i] = x; + if (i) mn[i] = min(mn[i-1], x); + else mn[i] = x; + ++i; + } + + void pop() { + --i; + } + + int top() { + return minStack[i-1]; + } + + int getMin() { + return mn[i-1]; + } +}; + +/** + * Your MinStack object will be instantiated and called as such: + * MinStack* obj = new MinStack(); + * obj->push(x); + * obj->pop(); + * int param_3 = obj->top(); + * int param_4 = obj->getMin(); + */ + diff --git a/Week_02/W02#0001_twoSum.cpp b/Week_02/W02#0001_twoSum.cpp new file mode 100644 index 0000000..cf56011 --- /dev/null +++ b/Week_02/W02#0001_twoSum.cpp @@ -0,0 +1,20 @@ +class Solution { +public: + vector twoSum(vector& nums, int target) { + int i, j, k; + for (i=0; i > groupAnagrams(vector& strs) + { + vector > str2; + vector > ans; + vector temp; + string tmp; + int n = strs.size(); + int l, r; + int i, j; + + for (i = 0; i < n; ++i) + { + tmp = strs[i]; + sort(tmp.begin(), tmp.end()); + str2.emplace_back(make_pair(tmp, i)); + } + sort(str2.begin(), str2.end()); + + l = 0; r = 0; + for (i = 0; r < n; ++i) + { + while (r < n && str2[l].first == str2[r].first) + ++r; + for (j = l; j < r; ++j) + temp.emplace_back(strs[str2[j].second]); + ans.emplace_back(temp); + temp.clear(); + l = r; + } + + return ans; + } +}; + diff --git a/Week_03/W03#0046_permute.py b/Week_03/W03#0046_permute.py new file mode 100644 index 0000000..d376614 --- /dev/null +++ b/Week_03/W03#0046_permute.py @@ -0,0 +1,4 @@ +class Solution: + def permute(self, nums: List[int]) -> List[List[int]]: + return list(itertools.permutations(nums)) + diff --git a/Week_03/W03#0047_permuteUnique.py b/Week_03/W03#0047_permuteUnique.py new file mode 100644 index 0000000..e8f52bd --- /dev/null +++ b/Week_03/W03#0047_permuteUnique.py @@ -0,0 +1,19 @@ +class Solution: + def permuteUnique(self, nums: List[int]) -> List[List[int]]: + + def backtrack(current_len = 0): + if current_len == n: + res.append(nums[:]) + return + backtrack(current_len + 1) + for i in range(0, current_len): + nums[current_len], nums[i] = nums[i], nums[current_len] + backtrack(current_len + 1) + nums[current_len], nums[i] = nums[i], nums[current_len] + + nums.sort() + n = len(nums) + res = [] + backtrack() + return res + diff --git a/Week_04/W04#0045_jump.cpp b/Week_04/W04#0045_jump.cpp new file mode 100644 index 0000000..6217603 --- /dev/null +++ b/Week_04/W04#0045_jump.cpp @@ -0,0 +1,21 @@ +class Solution { +public: + int jump(vector& nums) { + int end = 0; //最远可及处 + int currend; + int size = nums.size(); + int step = 0; + for (int i = 0; (i < size) && (i <= end); ) { + if (end >= size - 1) return step; + currend = end; + while (i <= currend) { + end = max(end, nums[i] + i); + ++i; + } + ++step; + // if (end >= size - 1) return step; + } + + return -1; //不可及 + } +}; diff --git a/Week_04/W04#0055_canJump.cpp b/Week_04/W04#0055_canJump.cpp new file mode 100644 index 0000000..a6f99ad --- /dev/null +++ b/Week_04/W04#0055_canJump.cpp @@ -0,0 +1,13 @@ +class Solution { +public: + bool canJump(vector& nums) { + int end = 0; + int size = nums.size(); + for (int i = 0; (i < size) && (i <= end); ++i) { + end = max(end, nums[i] + i); + if (end >= (size - 1)) return true; + } + return false; + } +}; + diff --git a/Week_06/README.md b/Week_06/README.md index 50de304..d71cf6f 100644 --- a/Week_06/README.md +++ b/Week_06/README.md @@ -1 +1,64 @@ -瀛︿範绗旇 \ No newline at end of file +学习笔记 + +DP五步骤: + +1、定义状态 + +2、状态转移方程(含边界条件) + +3、初始化 + +4、计算顺序(注意避免下标越界) + +5、结果 + +------------- + +以 leetcode#63 “不同路径2” 为例: + +1、定义状态 + + dp[i][j] = 从左上角(0,0)到(i,j)的路径条数 + +2、状态转移方程(含边界条件) + + if obstacleGrid[i][j] == 1: + + dp[i][j] = 0 + + else: + + dp[i][j] = dp[i][j-1] + dp[i-1][j] + + (边界条件:需满足i-1/j-1>=0) + +3、初始化 + + m = len(obstacleGrid) + + n = len(obstacleGrid[0]) + + dp = [[0 for _ in range(n)] for _ in range(m)] + + dp[0][0] = 1 if obstacleGrid[0][0] == 0 else 0 + +4、计算顺序(注意避免下标越界) + + for i in range(1, m): + + dp[i][0] = 0 if obstacleGrid[i][0] == 1 else min(1, dp[i-1][0]) + + for j in range(1, n): + + dp[0][j] = 0 if obstacleGrid[0][j] == 1 else min(1, dp[0][j-1]) + + for i in range(1, m): + + for j in range(1, n): + + 状态转移方程(按以上顺序,已自然满足边界条件 i-1/j-1 >= 0) +5、结果 + + dp[m-1][n-1] + + diff --git a/Week_06/W06#0064_minPathSum.py b/Week_06/W06#0064_minPathSum.py new file mode 100644 index 0000000..e478401 --- /dev/null +++ b/Week_06/W06#0064_minPathSum.py @@ -0,0 +1,45 @@ +class Solution: + def minPathSum(self, grid: List[List[int]]) -> int: + m = len(grid) + n = len(grid[0]) + + if m==0 or n==0: return 0 + + dp = [[0 for _ in range(n)] for _ in range(m)] + dp[0][0] = grid[0][0] + + for i in range(1,m): dp[i][0] = dp[i-1][0] + grid[i][0] + for j in range(1,n): dp[0][j] = dp[0][j-1] + grid[0][j] + + for i in range(1,m): + for j in range(1,n): + dp[i][j] = grid[i][j] + min(dp[i-1][j], dp[i][j-1]) + + return dp[m-1][n-1] + + """ +1、定义状态 + dp[i,j]表示从左上角(0,0)到坐标(i,j)的最小路径和 + m = len(grid) + n = len(grid[0]) + 左上角dp[0][0] + 右下角dp[m][n] +2、状态转移(描述边界条件) + dp[i][j] = grid[i][j] + min(dp[i-1][j], dp[i][j-1]) + (边界条件:要保证 i-1>=0, j-1>=0 即 i>0, j>0) +3、初始化 + dp[0][0] = grid[0][0] +4、计算顺序 + 为保证第2点中的边界条件, + 应首先单独计算dp[0][j]及dp[i][0] + 后续双重循环迭代即可,无须再判边界条件 + 注:形如 + dp[i][j] = grid[i][j] + \ + min( dp[i-1][j] if i>0 else float('inf'), \ + dp[i][j-1] if j>0 else float('inf') ) + 这样的语句会list index out of range, + 因为在执行if子句前已经先执行了dp[i-1][j] + 故而只能采取上述 先首行首列 再迭代 的顺序 +5、结果 + dp[m-1][n-1] +""" diff --git a/Week_06/W06#0091_numDecodings.py b/Week_06/W06#0091_numDecodings.py new file mode 100644 index 0000000..69f61c5 --- /dev/null +++ b/Week_06/W06#0091_numDecodings.py @@ -0,0 +1,71 @@ +class Solution: + def numDecodings(self, s: str) -> int: + n = len(s) + + if n==0: return 0 + if s[0]=='0': return 0 + + dp = [0]*(n+1) + dp[0], dp[1] = 1, 1 + + for i in range(2, n+1): + if s[i-1]=='0': #XXXXXXXXX[0] + if s[i-2] in {'1','2'}: #XXXX[1-2][0] + dp[i] = dp[i-2] + else: #XXXX[3-9,0][0] + return 0 + elif s[i-1]<='6': #XXXXXXXXX[1-6] + if s[i-2] in {'1','2'}: #XXXX[1-2][1-6] + dp[i] = dp[i-2] + dp[i-1] + else: #XXXX[3-9,0][1-6] + dp[i] = dp[i-1] + else: #XXXXXXXXX[7-9] + if s[i-2] == '1': #XXXX[1][7-9] + dp[i] = dp[i-2] + dp[i-1] + else: #XXXX[0,2-9][7-9] + dp[i] = dp[i-1] + print(s[:i],dp) + + print(dp) + return dp[n] + + """ +1、定义状态 + dp[i]为s[0:i]的,即0..(i-1)数字序列的解码总数 + 其中,dp[0]特定为1 +2、状态转移(描述边界条件) + 计算dp[i]时, + if s[i-1]=='0': #XXXXXXXXX[0] + if s[i-2] in {'1','2'}: #XXXX[1-2][0] + dp[i] = dp[i-2] + else: #XXXX[3-9,0][0] + return 0 + elif s[i-1]<='6': #XXXXXXXXX[1-6] + if s[i-2] in {'1','2'}: #XXXX[1-2][1-6] + dp[i] = dp[i-2] + dp[i-1] + else: #XXXX[3-9,0][1-6] + dp[i] = dp[i-1] + else: #XXXXXXXXX[7-9] + if s[i-2] == '1': #XXXX[1][7-9] + dp[i] = dp[i-2] + dp[i-1] + else: #XXXX[0,2-9][7-9] + dp[i] = dp[i-1] + + (由于初始化时特设dp[0],dp[1]且i从2算起,边界条件肯定满足,无需额外判定) + + 注1:根据示例3,以下两种特判直接返回 0 + a)s[0]=='0' 则直接输出 0 + b)中间出现'0'而必须与前数字结合时,只能是'10'/'20',其他情况直接输出 0 + 注2:本题为使满足边界条件,使dp[i]与s[i-1]错了一位来对应,如下示意: + X X A B C D X X X + s[?] .. ... s[i-3] s[i-2] s[i-1] ... + dp[?] ... dp[i-3] dp[i-2] dp[i-1] dp[i] ... + 带来的另一影响是:dp数组共需n+1个元素[0..n] +3、初始化 + 特判 if s[0]=='0': return 0 + dp[0], dp[1] = 1, 1 +4、计算顺序及范围 + i in range(2,n+1) +5、结果 + dp[n] +""" diff --git a/Week_07/W070036_isValidSudoku.py b/Week_07/W070036_isValidSudoku.py new file mode 100644 index 0000000..2faff75 --- /dev/null +++ b/Week_07/W070036_isValidSudoku.py @@ -0,0 +1,33 @@ +class Solution: + def isValidSudoku(self, board: List[List[str]]) -> bool: + def judge(grid: str, ss: set) -> bool: + # print(grid, ss) + if grid==".": return True + if grid in ss: return False + ss.add(grid) + return True + + for i in range(9): + set_c = set() + set_r = set() + set_b = set() + for j in range(9): + # print("3sets befor ij:",set_c, set_r, set_b) + if not judge(board[i][j], set_c): + print(i,j,"i,j,False!") + return False + # print("3sets befor ji:",set_c, set_r, set_b) + if not judge(board[j][i], set_r): + print(i,j,"j,i,False!") + return False + # print("3sets befor bl:",set_c, set_r, set_b) + block_ul_x = 3 * (i % 3) + block_ul_y = 3 * (i // 3) + grid_x = block_ul_x + (j % 3) + grid_y = block_ul_y + (j // 3) + if not judge(board[grid_x][grid_y], set_b): + # print(i,j,block_ul_x,block_ul_y,grid_x,grid_y,"block False!") + return False + return True + + diff --git a/Week_07/W070208_Trie.py b/Week_07/W070208_Trie.py new file mode 100644 index 0000000..216c070 --- /dev/null +++ b/Week_07/W070208_Trie.py @@ -0,0 +1,51 @@ +class Trie: + + def __init__(self): + """ + Initialize your data structure here. + """ + self.root = {} + self.end_of_word = "#" + + + def insert(self, word: str) -> None: + """ + Inserts a word into the trie. + """ + node = self.root + for char in word: + node = node.setdefault(char, {}) + node[self.end_of_word] = self.end_of_word + + + def search(self, word: str) -> bool: + """ + Returns if the word is in the trie. + """ + node = self.root + for char in word: + if char not in node: + return False + node = node[char] + return self.end_of_word in node + + + def startsWith(self, prefix: str) -> bool: + """ + Returns if there is any word in the trie that starts with the given prefix. + """ + node = self.root + for char in prefix: + if char not in node: + return False + node = node[char] + return True + + + +# Your Trie object will be instantiated and called as such: +# obj = Trie() +# obj.insert(word) +# param_2 = obj.search(word) +# param_3 = obj.startsWith(prefix) + diff --git a/Week_07/W070212_findWords.py b/Week_07/W070212_findWords.py new file mode 100644 index 0000000..f9bab48 --- /dev/null +++ b/Week_07/W070212_findWords.py @@ -0,0 +1,35 @@ +class Solution: + def findWords(self, board: List[List[str]], words: List[str]) -> List[str]: + # 鏍规嵁words寤虹珛Trie鏍 + trie = {} + for word in words: + node = trie + for char in word: + node = node.setdefault(char, {}) + node['#'] = True + + # dfs锛氭悳绱 board 涓槸鍚﹀瓨鍦ㄤ笌 words 鍒楄〃鐩稿悓鐨勫崟璇 + def dfs(i, j, node, pre, visited): #(i,j)褰撳墠鍧愭爣锛宯ode褰撳墠缁撶偣锛宲re鍓嶉潰鐨勫瓧绗︿覆锛寁isited宸茶闂潗鏍 + if '#' in node: + # res.add(pre) + res.append(pre) ; node.pop('#') #pop key鍘婚噸锛屽垯res鍙洿鎺ョ敤list + for (di, dj) in ((-1, 0), (1, 0), (0, -1), (0, 1)): #Py鎶宸э細浠ュ厓缁勬潵瀹炵幇鍒嗙粍閬嶅巻 + _i, _j = i+di, j+dj + if 0 <= _i < m and 0 <= _j < n: #Py璇硶锛氭敮鎸 a List[List[str]]: + mask = ~((~ 0) << n) + ans = [] + + # 鍙傛暟sol涓簊tr鍨嬶紝渚濇鏀炬鐩樻渶涓婃柟level琛屽凡瑙e嚭鐨囧悗鎵鍦ㄥ垪鏁帮紝鍒楁暟浠庢渶鍙0鍒楀悜宸﹂掑璁℃暟 + def dfs(sol, level, cols, pies, nas): + if level == n: + ans.append(sol) + return + possible = ~(cols | pies | nas) & mask + while possible: + next_possible = possible & (possible-1) + curr_col = possible ^ next_possible + possible = next_possible + dfs(sol + chr(45 + len(bin(curr_col))), level + 1, \ + cols | curr_col, \ + (pies | curr_col) << 1, \ + (nas | curr_col) >> 1 ) + + dfs('', 0, 0, 0, 0) + return [["."*(n-ord(C)+48-1) + "Q" + "."*(ord(C)-48) for C in sol] for sol in ans] + diff --git a/Week_08/W080052_totalNQueens.py b/Week_08/W080052_totalNQueens.py new file mode 100644 index 0000000..4732b1f --- /dev/null +++ b/Week_08/W080052_totalNQueens.py @@ -0,0 +1,22 @@ +class Solution: + def totalNQueens(self, n: int) -> int: + mask = ~((~ 0) << n) + self.ans = 0 + + def dfs(level, cols, pies, nas): + if level == n: + self.ans += 1 + return + possible = ~(cols | pies | nas) & mask + while possible: + next_possible = possible & (possible-1) + curr_col = possible ^ next_possible + possible = next_possible + dfs(level + 1, \ + cols | curr_col, \ + (pies | curr_col) << 1, \ + (nas | curr_col) >> 1 ) + + dfs(0, 0, 0, 0) + return self.ans + diff --git a/Week_08/W080190_reverseBits.py b/Week_08/W080190_reverseBits.py new file mode 100644 index 0000000..ed7c97c --- /dev/null +++ b/Week_08/W080190_reverseBits.py @@ -0,0 +1,12 @@ +class Solution: + def reverseBits(self, n: int) -> int: + res = 0 + for _ in range(32): + bit = n & 1 + res <<= 1 + res += bit + n >>= 1 + return res + + # 涓琛屼唬鐮侊細 + # return int("0b"+("0"*32+bin(n)[2:])[-32:][::-1], base=2) diff --git a/Week_08/W080191_hammingWeight.py b/Week_08/W080191_hammingWeight.py new file mode 100644 index 0000000..4a0bd15 --- /dev/null +++ b/Week_08/W080191_hammingWeight.py @@ -0,0 +1,8 @@ +class Solution: + def hammingWeight(self, n: int) -> int: + s = 0 + while n != 0: + n &= n-1 + s += 1 + return s + diff --git a/Week_08/W080231_isPowerOfTwo.py b/Week_08/W080231_isPowerOfTwo.py new file mode 100644 index 0000000..7b16265 --- /dev/null +++ b/Week_08/W080231_isPowerOfTwo.py @@ -0,0 +1,4 @@ +class Solution: + def isPowerOfTwo(self, n: int) -> bool: + if 0 == n: return False + return n & n-1 == 0 diff --git a/Week_09/README.md b/Week_09/README.md index 50de304..1d43e8d 100644 --- a/Week_09/README.md +++ b/Week_09/README.md @@ -1 +1,65 @@ -瀛︿範绗旇 \ No newline at end of file + +学习笔记 + +DP五步骤: + +1、定义状态 + +2、状态转移方程(含边界条件) + +3、初始化 + +4、计算顺序(注意避免下标越界) + +5、结果 + +------------- + +以 leetcode#63 “不同路径2” 为例: + +1、定义状态 + + dp[i][j] = 从左上角(0,0)到(i,j)的路径条数 + +2、状态转移方程(含边界条件) + + if obstacleGrid[i][j] == 1: + + dp[i][j] = 0 + + else: + + dp[i][j] = dp[i][j-1] + dp[i-1][j] + + (边界条件:需满足i-1/j-1>=0) + +3、初始化 + + m = len(obstacleGrid) + + n = len(obstacleGrid[0]) + + dp = [[0 for _ in range(n)] for _ in range(m)] + + dp[0][0] = 1 if obstacleGrid[0][0] == 0 else 0 + +4、计算顺序(注意避免下标越界) + + for i in range(1, m): + + dp[i][0] = 0 if obstacleGrid[i][0] == 1 else min(1, dp[i-1][0]) + + for j in range(1, n): + + dp[0][j] = 0 if obstacleGrid[0][j] == 1 else min(1, dp[0][j-1]) + + for i in range(1, m): + + for j in range(1, n): + + 状态转移方程(按以上顺序,已自然满足边界条件 i-1/j-1 >= 0) +5、结果 + + dp[m-1][n-1] + + diff --git a/Week_09/W090044_isMatch.py b/Week_09/W090044_isMatch.py new file mode 100644 index 0000000..fa34459 --- /dev/null +++ b/Week_09/W090044_isMatch.py @@ -0,0 +1,19 @@ +class Solution: + def isMatch(self, s: str, p: str) -> bool: + if not p: return not s + first_match = bool(s) and (p[0] in {s[0], '?'}) + if p[0] == '*': + return self.isMatch(s, p[1:]) or \ + bool(s) and self.isMatch(s[1:], p) + else: + return first_match and self.isMatch(s[1:], p[1:]) + + """ + 注: leetcode上于 1601 / 1811 个通过测试用例 超时。 待改进 + 超时用例: + +"ababaaabbaabbabbababbaabbaababbaaabaabbaabbbbaabbaabab" +"*b**a" + + """ + diff --git a/Week_09/W090387_firstUniqChar.py b/Week_09/W090387_firstUniqChar.py new file mode 100644 index 0000000..152f637 --- /dev/null +++ b/Week_09/W090387_firstUniqChar.py @@ -0,0 +1,11 @@ +class Solution: + def firstUniqChar(self, s: str) -> int: + if len(s) == 0: return -1 + dict = [0 for _ in range(256)] + for ch in s: + dict[ord(ch)] += 1 + for i in range(len(s)): + ch = s[i] + if dict[ord(ch)] == 1: return i + return -1 + diff --git a/Week_09/W090917_reverseOnlyLetters.py b/Week_09/W090917_reverseOnlyLetters.py new file mode 100644 index 0000000..6f749df --- /dev/null +++ b/Week_09/W090917_reverseOnlyLetters.py @@ -0,0 +1,27 @@ +class Solution: + def reverseOnlyLetters(self, S: str) -> str: + def isAlpha(ch): + return "A" <= ch <= "Z" or "a" <= ch <= "z" + + n = len(S) + i = 0 + j = n - 1 + ans = "" + while j >= 0: + while i < n and not isAlpha(S[i]): + ans += S[i] + i += 1 + + while j >= 0 and not isAlpha(S[j]): + j -= 1 + + if j >= 0: + ans += S[j] + j -= 1 + i += 1 + + while i < n: + ans += S[i] + i += 1 + + return ans diff --git "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md" "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md" index 50de304..f411e9a 100644 --- "a/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md" +++ "b/Week_\346\257\225\344\270\232\346\200\273\347\273\223/README.md" @@ -1 +1,32 @@ -瀛︿範绗旇 \ No newline at end of file + +# 毕业总结: + + +## 关键方法:五毒神掌 + + +## 算法3阶梯: +### 一、基础 +#### 1、基础数据结构及实现: + * 线性表:数组、链表、栈、队列 + * 哈希表、映射、集合 + * 树、图 +#### 2、编程基本功: + * 熟练掌握特定语言的上述基础数据结构的实现代码 + * 掌握函数调用时嵌套的局部变量作用域、传值vs传引用、数组深拷贝vs浅拷贝等机制 +#### 3、时间、空间复杂度分析方法 + +### 二、递归思维方式 + * 背熟递归模板,通过树图遍历、分治、回溯等算法的练习,循序渐进地掌握、熟练运用递归思维方式。 + * 很多算法是递归实现。这类似数学归纳法思想,关键是找到重复性,避免人肉递归。递归思维是理解高级算法的基础。 + * BFS、DFS。DFS也用到递归思想;BFS形式上与DFS有相似处,可对照学。 + +### 三、动态规划 + * 动态规划初级到高级:升维、状态转移方程更复杂 + (字符串查找、编辑距离等) + +### 其他算法及进阶 + * 算法进阶:剪枝、去重优化;双向BFS;启发式搜索 + +* 相对独立的算法:贪心、二分、字典树、并查集、位运算、布隆过滤器、LRU、AVL树与红黑树、排序 +