一、palindrome-partitioning
題目描述
Given a string s, partition s such that every substring of the partition is a palindrome.
Return all possible palindrome partitioning of s.
For example, given s ="aab",
Return
[
["aa","b"],
["a","a","b"]
]
思路:動態規劃+深度優先遍曆(DFS)
1、用動態規範演算法劃分子迴文串
2、用DFS遍曆可能的情況
代碼:
class Solution {public: vector<vector<string> > partition(string s){ vector<vector<string> > result; vector<string> array; if(s.length()==0) return result; vector<vector<bool> > flag = dp(s); dfs(s, 0, flag, array, result); return result; } void dfs(string s, int begin, vector<vector<bool> > flag, vector<string> array, vector<vector<string> > &result) { if(begin==s.length()) { result.push_back(array); //array.clear(); return; } for(int i=begin;i<s.length();++i) { if(flag[begin][i]==1) { vector<string> temp(array); temp.push_back(s.substr(begin,i+1-begin)); //cout << "begin=" << begin << "; i+1=" << (i+1) << endl; //cout << array.back() << endl; dfs(s, i+1, flag, temp, result); } } } vector<vector<bool> > dp(string s){ int len = s.length(); vector<vector<bool> > flag(len, vector<bool>(len, 0)); int i, j; for(i=len-1; i>=0; --i){ for(j=i; j<len; ++j){ if(j == i) flag[i][j] = true; else{ if(s[i] == s[j] && (j == i+1 || flag[i+1][j-1] == true)){ flag[i][j] = true; } } } } return flag; }};
本地測試代碼:
vector<vector<bool> > dp(string s);//動態規劃,劃分子串void dfs(string s, int begin, vector<vector<bool> > flag, vector<string> array, vector<vector<string> > &result);//深度優先遍曆vector<vector<string> > partition(string s);int main(){string s = "abcbad";//cout << s.substr(1, 2) << endl;vector<vector<bool> > flag = dp(s);int i, j;for(i=0; i<flag.size(); ++i){//列印flagfor(j=0; j<flag[i].size(); ++j)cout << flag[i][j] << ' ';cout << endl;}//vector<vector<string> > result;//vector<string> array;//dfs(s, 0, flag, array, result);vector<vector<string> > result = partition(s);for(i=0; i<result.size(); ++i){for(j=0; j<result[i].size(); ++j){cout << result[i][j] << ' ';}cout << endl;}return 0;}
二、add-binary
題目描述
Given two binary strings, return their sum (also a binary string).
For example,
a ="11"
b ="1"
Return"100"
代碼:
class Solution {public: string addBinary(string a, string b) { string sum;//輸出 int up=0;//進位 int i=a.length()-1; int j=b.length()-1; while(i>=0 && j>=0){ int temp = a[i]+b[j]-'0'-'0' + up;//當前位上 數位和 if(temp == 3){ up = 1; sum.insert(sum.begin(), '1'); } else if(temp == 2){ up = 1; sum.insert(sum.begin(), '0'); } else if(temp == 1){ up = 0; sum.insert(sum.begin(), '1'); } else if(temp == 0){ up = 0; sum.insert(sum.begin(), '0'); } --i; --j; } while(i>=0){//此時如果i>=0,說明a長,對a餘下的位元進行操作 int temp = a[i] - '0' +up; if(temp == 2){ up = 1; sum.insert(sum.begin(), '0'); } else if(temp == 1){ up = 0; sum.insert(sum.begin(), '1'); } else if(temp == 0){ up = 0; sum.insert(sum.begin(), '0'); } --i; } while(j>=0){//此時如果j>=0,說明b長,對b餘下的位元進行操作 int temp = b[j] - '0' + up; if(temp == 2){ up = 1; sum.insert(sum.begin(), '0'); } else if(temp == 1){ up = 0; sum.insert(sum.begin(), '1'); } else if(temp == 0){ up = 0; sum.insert(sum.begin(), '0'); } --j; } if(up == 1)//判斷最高位是否有進位 sum.insert(sum.begin(), '1'); return sum; }};
本地測試代碼:
int main(){string a;string b;cout << "a: ";getline(cin, a);cout << "b: ";getline(cin, b);string s = addBinary(a, b);//string s = "ss";cout << s << endl;return 0;}