目录

62 不同路径

1143 最长公共子序列

714  买卖股票的最佳时机含手续费

72 编辑距离

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62 不同路径

class Solution {
public:int uniquePaths(int m, int n) {vector<vector<int>>dp(m,vector<int>(n));for(int i = 0;i < n;i++)dp[0][i] = 1;for(int i = 0;i < m;i++)dp[i][0] = 1;for(int i = 1;i < m;i++){for(int j = 1;j < n;j++){dp[i][j] += dp[i - 1][j];dp[i][j] += dp[i][j - 1];}}return dp[m - 1][n - 1];}
};

时间复杂度O(mn)

空间复杂度O(mn)

1143 最长公共子序列

class Solution {
public:int longestCommonSubsequence(string text1, string text2) {vector<vector<int>>dp(text1.size() + 1,vector<int>(text2.size() + 1));for(int i = 1;i <= text1.size();i++){for(int j = 1;j <= text2.size();j++){if(text1[i - 1] == text2[j - 1]){dp[i][j] = dp[i - 1][j - 1] + 1;}else{dp[i][j] = max(dp[i - 1][j],dp[i][j - 1]);}}}return dp[text1.size()][text2.size()];}
};

时间复杂度O(mn)

空间复杂度O(mn)

714  买卖股票的最佳时机含手续费

class Solution {
public:int maxProfit(vector<int>& prices, int fee) {int res = 0;int pay = fee + prices[0];for(int i = 1;i < prices.size();i++){if(prices[i] > pay){res += prices[i] - pay;pay = prices[i];}else if(pay > prices[i] + fee){pay = prices[i] + fee;//开始新的一轮}}return res;}
};

时间复杂度O(n)

空间复杂度O(1)

72 编辑距离

 

class Solution {
public:int minDistance(string word1, string word2) {vector<vector<int>>dp(word1.size() + 1,vector<int>(word2.size() + 1));for(int i = 0;i <= word1.size();i++)dp[i][0] = i;for(int i = 0;i <= word2.size();i++)dp[0][i] = i;for(int i = 1;i <= word1.size();i++){for(int j = 1;j <= word2.size();j++){dp[i][j] = min(dp[i - 1][j],dp[i][j - 1]) + 1;//增和删if(word1[i - 1] != word2[j - 1]){dp[i][j] = min(dp[i - 1][j - 1] + 1,dp[i][j]);}else{dp[i][j] = min(dp[i - 1][j - 1],dp[i][j]);}}}return dp[word1.size()][word2.size()];}
};

时间复杂度O(mn)

空间复杂度O(mn)