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37 Sudoku Solver
- // ----------------Seeing Discuss-----------
- /*
- copying codes
- url
- https://discuss.leetcode.com/topic/5002/a-simple-dfs-solution
- Analysis:
-
- */
- class Solution {
- public:
- bool isValidSudoku(vector<vector<char> > &board) {
- return true;
- }
- void solveSudoku(vector<vector<char> > &board) {
- util(board, 0);
- }
- bool util(vector<vector<char>>& board, int pos)
- {
- if (pos >= 81)
- return true;
- int i = pos / 9;
- int j = pos % 9;
- if (board[i][j] != '.')
- return util(board, pos + 1);
- else
- {
- for (char c = '1'; c <= '9'; c++)
- {
- if (!isInRow(board, i,c) && !isInCol(board, j, c) && !isInRec(board, i, j, c))
- {
- board[i][j] = c;
- if (util(board, pos + 1))
- return true;
- else
- board[i][j] = '.';
- }
- }
- return false;
- }
- }
-
- bool isInRow(vector<vector<char>>& board, int i, char c)
- {
- vector<char>& row = board[i];
- for (int k = 0; k < 9; k++)
- {
- if (row[k] == c)
- return true;
- }
- return false;
- }
- bool isInCol(vector<vector<char>>& board,int j, char c)
- {
- for (int k = 0; k < 9; k++)
- {
- if (board[k][j] == c)
- return true;
- }
- return false;
- }
- bool isInRec(vector<vector<char>>& board, int i, int j, char c)
- {
- int bigrow = i / 3, bigcol = j / 3;
- for (int m = 3 * bigrow; m < 3 * (bigrow + 1); m++)
- {
- for (int n = 3 * bigcol; n < 3 * (bigcol + 1); n++)
- if (board[m][n] == c)
- return true;
- }
- return false;
- }
- };
- // ----------------Seeing Discuss-----------
- /*
- copying codes
- url
- https://discuss.leetcode.com/topic/2710/a-simple-solution-in-cpp
- */
- class Solution {
- public:
- bool isNumber(string s)
- {
- int i=0;
- for(;s[i]==' ';i++) {}
- if(s[i]=='+' || s[i]=='-') i++;
- int n_nm,n_pt;
- for(n_nm=0,n_pt=0;(s[i]<='9' && s[i]>='0')|| s[i]=='.';i++)
- s[i] =='.'?n_pt++:n_nm++;
- if(n_pt>1 || n_nm<1) return false;
- if(s[i]=='e')
- {
- i++;
- if(s[i]=='+' || s[i]=='-')i++;
- int n_nm=0;
- for(;s[i]>='0' && s[i]<='9';i++,n_nm++){}
- if(n_nm<1) return false;
- }
- for(;s[i]==' ';i++){}
- return s[i]==0;
- }
- };
- // ---------------------Seeing Discuss -------------
- /*
- copying codes
- url:
- https://discuss.leetcode.com/topic/20210/my-ac-very-clean-c-code
- The idea is start from every position of the board, and then see if we can
- find a word starting from this position with checking if is_end is true in TrieNode structure
-
- */
- class TrieNode{
- public:
- bool is_end;
- vector<TrieNode*> children;
- TrieNode(){
- is_end=false;
- children=vector<TrieNode*>(26, NULL);
- }
- };
-
- class Trie{
- public:
- TrieNode* getRoot(){return root;}
- Trie(vector<string>& words){
- root=new TrieNode();
- for(int i=0; i<words.size(); ++i)
- addWord(words[i]);
- }
- void addWord(const string& word){
- TrieNode* cur=root;
- for(int i=0; i<word.size(); ++i){
- int index=word[i]-'a';
- if(cur->children[index]==NULL)
- cur->children[index]=new TrieNode();
- cur=cur->children[index];
- }
- cur->is_end=true;
- }
- private:
- TrieNode* root;
- };
-
- class Solution {
- public:
- vector<string> findWords(vector<vector<char>>& board, vector<string>& words) {
- Trie* trie = new Trie(words);
- TrieNode* root=trie->getRoot();
- set<string> result_set;
- for(int x=0; x<board.size(); ++x)
- for(int y=0; y<board[0].size(); ++y)
- findWords(board, x, y, root, "", result_set);
-
- vector<string> result;
- for(auto it:result_set) result.push_back(it);
- return result;
- }
- private:
- void findWords(vector<vector<char>>& board, int x, int y, TrieNode* root, string word, set<string>& result){
- if(x<0||x>=board.size()||y<0||y>=board[0].size() || board[x][y]==' ') return;
-
- if(root->children[board[x][y]-'a'] != NULL){
- word=word+board[x][y];
- root=root->children[board[x][y]-'a'];
- if(root->is_end) result.insert(word);
- char c=board[x][y];
- board[x][y]=' ';
- findWords(board, x+1, y, root, word, result);
- findWords(board, x-1, y, root, word, result);
- findWords(board, x, y+1, root, word, result);
- findWords(board, x, y-1, root, word, result);
- board[x][y]=c;
- }
- }
- };
- // -------------------TLE 1st depth first search--------------------
- // 35 / 37 test cases passed.
- // the TLE data point:
- // ["aaaa","aaaa","aaaa","aaaa","bcde","fghi","jklm","nopq","rstu","vwxy","zzzz"]
- // ["aaaaaaaaaaaaaaaa","aaaaaaaaaaaaaaab","aaaaaaaaaaaaaaac","aaaaaaaaaaaaaaad","aaaaaaaaaaaaaaae","aaaaaaaaaaaaaaaf","aaaaaaaaaaaaaaag","aaaaaaaaaaaaaaah","aaaaaaaaaaaaaaai","aaaaaaaaaaaaaaaj","aaaaaaaaaaaaaaak","aaaaaaaaaaaaaaal","aaaaaaaaaaaaaaam","aaaaaaaaaaaaaaan","aaaaaaaaaaaaaaao","aaaaaaaaaaaaaaap","aaaaaaaaaaaaaaaq","aaaaaaaaaaaaaaar","aaaaaaaaaaaaaaas","aaaaaaaaaaaaaaat","aaaaaaaaaaaaaaau","aaaaaaaaaaaaaaav","aaaaaaaaaaaaaaaw","aaaaaaaaaaaaaaax","aaaaaaaaaaaaaaay","aaaaaaaaaaaaaaaz","aaaaaaaaaaaaaaaa","aaaaaaaaaaaaaaab","aaaaaaaaaaaaaaac","aaaaaaaaaaaaaaad","aaaaaaaaaaaaaaae","aaaaaaaaaaaaaaaf","aaaaaaaaaaaaaaag","aaaaaaaaaaaaaaah","aaaaaaaaaaaaaaai","aaaaaaaaaaaaaaaj","aaaaaaaaaaaaaaak","aaaaaaaaaaaaaaal","aaaaaaaaaaaaaaam","aaaaaaaaaaaaaaan","aaaaaaaaaaaaaaao","aaaaaaaaaaaaaaap","aaaaaaaaaaaaaaaq","aaaaaaaaaaaaaaar","aaaaaaaaaaaaaaas","aaaaaaaaaaaaaaat","aaaaaaaaaaaaaaau","aaaaaaaaaaaaaaav","aaaaaaaaaaaaaaaw","aaaaaaaaaaaaaaax","aaaaaaaaaaaaaaay","aaaaaaaaaaaaaaaz","aaaaaaaaaaaaaaba","aaaaaaaaaaaaaabb","aaaaaaaaaaaaaabc","aaaaaaaaaaaaaabd","aaaaaaaaaaaaaabe","aaaaaaaaaaaaaabf","aaaaaaaaaaaaaabg","aaaaaaaaaaaaaabh","aaaaaaaaaaaaaabi","aaaaaaaaaaaaaabj","aaaaaaaaaaaaaabk","aaaaaaaaaaaaaabl","aaaaaaaaaaaaaabm","aaaaaaaaaaaaaabn","aaaaaaaaaaaaaabo","aaaaaaaaaaaaaabp","aaaaaaaaaaaaaabq","aaaaaaaaaaaaaabr","aaaaaaaaaaaaaabs","aaaaaaaaaaaaaabt","aaaaaaaaaaaaaabu","aaaaaaaaaaaaaabv","aaaaaaaaaaaaaabw","aaaaaaaaaaaaaabx","aaaaaaaaaaaaaaby","aaaaaaaaaaaaaabz","aaaaaaaaaaaaaaca","aaaaaaaaaaaaaacb","aaaaaaaaaaaaaacc","aaaaaaaaaaaaaacd","aaaaaaaaaaaaaace","aaaaaaaaaaaaaacf","aaaaaaaaaaaaaacg","aaaaaaaaaaaaaach","aaaaaaaaaaaaaaci","aaaaaaaaaaaaaacj","aaaaaaaaaaaaaack","aaaaaaaaaaaaaacl","aaaaaaaaaaaaaacm","aaaaaaaaaaaaaacn","aaaaaaaaaaaaaaco","aaaaaaaaaaaaaacp","aaaaaaaaaaaaaacq","aaaaaaaaaaaaaacr","aaaaaaaaaaaaaacs","aaaaaaaaaaaaaact","aaaaaaaaaaaaaacu","aaaaaaaaaaaaaacv","aaaaaaaaaaaaaacw","aaaaaaaaaaaaaacx","aaaaaaaaaaaaaacy","aaaaaaaaaaaaaacz","aaaaaaaaaaaaaada","aaaaaaaaaaaaaadb","aaaaaaaaaaaaaadc","aaaaaaaaaaaaaadd","aaaaaaaaaaaaaade","aaaaaaaaaaaaaadf","aaaaaaaaaaaaaadg","aaaaaaaaaaaaaadh","aaaaaaaaaaaaaadi","aaaaaaaaaaaaaadj","aaaaaaaaaaaaaadk","aaaaaaaaaaaaaadl","aaaaaaaaaaaaaadm","aaaaaaaaaaaaaadn","aaaaaaaaaaaaaado","aaaaaaaaaaaaaadp","aaaaaaaaaaaaaadq","aaaaaaaaaaaaaadr","aaaaaaaaaaaaaads","aaaaaaaaaaaaaadt","aaaaaaaaaaaaaadu","aaaaaaaaaaaaaadv","aaaaaaaaaaaaaadw","aaaaaaaaaaaaaadx","aaaaaaaaaaaaaady","aaaaaaaaaaaaaadz","aaaaaaaaaaaaaaea","aaaaaaaaaaaaaaeb","aaaaaaaaaaaaaaec","aaaaaaaaaaaaaaed","aaaaaaaaaaaaaaee","aaaaaaaaaaaaaaef","aaaaaaaaaaaaaaeg","aaaaaaaaaaaaaaeh","aaaaaaaaaaaaaaei","aaaaaaaaaaaaaaej","aaaaaaaaaaaaaaek","aaaaaaaaaaaaaael","aaaaaaaaaaaaaaem","aaaaaaaaaaaaaaen","aaaaaaaaaaaaaaeo","aaaaaaaaaaaaaaep","aaaaaaaaaaaaaaeq","aaaaaaaaaaaaaaer","aaaaaaaaaaaaaaes","aaaaaaaaaaaaaaet","aaaaaaaaaaaaaaeu","aaaaaaaaaaaaaaev","aaaaaaaaaaaaaaew","aaaaaaaaaaaaaaex","aaaaaaaaaaaaaaey","aaaaaaaaaaaaaaez","aaaaaaaaaaaaaafa","aaaaaaaaaaaaaafb","aaaaaaaaaaaaaafc","aaaaaaaaaaaaaafd","aaaaaaaaaaaaaafe","aaaaaaaaaaaaaaff","aaaaaaaaaaaaaafg","aaaaaaaaaaaaaafh","aaaaaaaaaaaaaafi","aaaaaaaaaaaaaafj","aaaaaaaaaaaaaafk","aaaaaaaaaaaaaafl","aaaaaaaaaaaaaafm","aaaaaaaaaaaaaafn","aaaaaaaaaaaaaafo","aaaaaaaaaaaaaafp","aaaaaaaaaaaaaafq","aaaaaaaaaaaaaafr","aaaaaaaaaaaaaafs","aaaaaaaaaaaaaaft","aaaaaaaaaaaaaafu","aaaaaaaaaaaaaafv","aaaaaaaaaaaaaafw","aaaaaaaaaaaaaafx","aaaaaaaaaaaaaafy","aaaaaaaaaaaaaafz","aaaaaaaaaaaaaaga","aaaaaaaaaaaaaagb","aaaaaaaaaaaaaagc","aaaaaaaaaaaaaagd","aaaaaaaaaaaaaage","aaaaaaaaaaaaaagf","aaaaaaaaaaaaaagg","aaaaaaaaaaaaaagh","aaaaaaaaaaaaaagi","aaaaaaaaaaaaaagj","aaaaaaaaaaaaaagk","aaaaaaaaaaaaaagl","aaaaaaaaaaaaaagm","aaaaaaaaaaaaaagn","aaaaaaaaaaaaaago","aaaaaaaaaaaaaagp","aaaaaaaaaaaaaagq","aaaaaaaaaaaaaagr","aaaaaaaaaaaaaags","aaaaaaaaaaaaaagt","aaaaaaaaaaaaaagu","aaaaaaaaaaaaaagv","aaaaaaaaaaaaaagw","aaaaaaaaaaaaaagx","aaaaaaaaaaaaaagy","aaaaaaaaaaaaaagz","aaaaaaaaaaaaaaha","aaaaaaaaaaaaaahb","aaaaaaaaaaaaaahc","aaaaaaaaaaaaaahd","aaaaaaaaaaaaaahe","aaaaaaaaaaaaaahf","aaaaaaaaaaaaaahg","aaaaaaaaaaaaaahh","aaaaaaaaaaaaaahi","aaaaaaaaaaaaaahj","aaaaaaaaaaaaaahk","aaaaaaaaaaaaaahl","aaaaaaaaaaaaaahm","aaaaaaaaaaaaaahn","aaaaaaaaaaaaaaho","aaaaaaaaaaaaaahp","aaaaaaaaaaaaaahq","aaaaaaaaaaaaaahr","aaaaaaaaaaaaaahs","aaaaaaaaaaaaaaht","aaaaaaaaaaaaaahu","aaaaaaaaaaaaaahv","aaaaaaaaaaaaaahw","aaaaaaaaaaaaaahx","aaaaaaaaaaaaaahy","aaaaaaaaaaaaaahz","aaaaaaaaaaaaaaia","aaaaaaaaaaaaaaib","aaaaaaaaaaaaaaic","aaaaaaaaaaaaaaid","aaaaaaaaaaaaaaie","aaaaaaaaaaaaaaif","aaaaaaaaaaaaaaig","aaaaaaaaaaaaaaih","aaaaaaaaaaaaaaii","aaaaaaaaaaaaaaij","aaaaaaaaaaaaaaik","aaaaaaaaaaaaaail","aaaaaaaaaaaaaaim","aaaaaaaaaaaaaain","aaaaaaaaaaaaaaio","aaaaaaaaaaaaaaip","aaaaaaaaaaaaaaiq","aaaaaaaaaaaaaair","aaaaaaaaaaaaaais","aaaaaaaaaaaaaait","aaaaaaaaaaaaaaiu","aaaaaaaaaaaaaaiv","aaaaaaaaaaaaaaiw","aaaaaaaaaaaaaaix","aaaaaaaaaaaaaaiy","aaaaaaaaaaaaaaiz","aaaaaaaaaaaaaaja","aaaaaaaaaaaaaajb","aaaaaaaaaaaaaajc","a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- // Code
- /*
- class Solution {
- public:
- int row,col;
- int targetk;
- string str;
- int dx[4]={-1,0,1,0};
- int dy[4]={0,-1,0,1};
- char used='#';
- vector< vector<char> > grid;
- vector< vector<char> > origin;
- vector< string> ans;
- bool flag;
- vector<string> findWords(vector< vector<char> >& board, vector<string>& words)
- {
- row=board.size();
- if (row==0) return ans;
- col=board[0].size();
- grid.resize(row+2);
- for(int i=0;i<=col+1;i++)
- grid[0].push_back(used);
- for(int i=0;i<row;i++)
- {
- grid[i+1].push_back(used);
- for(int j=0;j<col;j++)
- grid[i+1].push_back(board[i][j]);
- grid[i+1].push_back(used);
- }
- origin=grid;
- for(int i=0;i<=col+1;i++)
- grid[row+1].push_back(used);
- col+=2;row+=2;
- int lw=words.size();
- vector<string> tmpw;
- map<string,bool> repeat;
- for(int t=0;t<lw;t++)
- {
- if (repeat.find(words[t])==repeat.end())
- {
- repeat[words[t]]=true;
- tmpw.push_back(words[t]);
- }
- }
- words=tmpw;
- lw=words.size();
- for(int t=0;t<lw;t++)
- {
- grid=origin;
- str=words[t];
- targetk=str.size();
- flag=false;
- for(int i=0;i<row;i++)
- {
- for(int j=0;j<col;j++)
- {
- if (grid[i][j]==str[0])
- {
- char saved = grid[i][j];
- grid[i][j]=used;
- depthSearsh(i,j,1);
- grid[i][j]=saved;
- if (flag) break;
- }
- }
- if (flag) break;
- }
- }
- return ans;
- }
- void depthSearsh(int x,int y,int k)
- {
- if (k==targetk)
- {
- flag=true;
- ans.push_back(str);
- return ;
- }
- for(int i=0;i<4;i++)
- {
- char saved;
- int tmpx=x+dx[i],tmpy=y+dy[i];
- if (grid[tmpx][tmpy]==str[k])
- {
- saved=grid[tmpx][tmpy];
- grid[tmpx][tmpy]=used;
- depthSearsh(tmpx,tmpy,k+1);
- if (flag) return ;
- grid[tmpx][tmpy]=saved;
- }
- }
- return ;
- }
- };
- */
-
- // -------------------- Seeing Discuss ----------
- /*
- copying codes
- url
- https://discuss.leetcode.com/topic/14406/my-concise-code-20ms-stack-based-o-n-one-trick-used
- Analysis:
- The idea is simple, use a stack to save the index of each vector entry in a ascending order;
- once the current entry is smaller than the one with the index s.top(), then that means the
- rectangle with the height height[s.top()] ends at the current position, so calculate its area
- and update the maximum.
- The only trick I use to avoid checking whether the stack is empty (due to pop) and also avoiding
- emptying the stack at the end (i.e. after going through the vector, s is not empty and we have to
- consider those in the stack) is to put a dummy "0" at the beginning of vector "height" and the end
- of "height": the first one makes sure the stack will never be empty (since all the height entries are >=0)
- and the last one will flush all the remaining non-zero entries of the stack at the end of "for" iteration.
- This trick helps us keep the code concise.
- */
- class Solution {
- public:
- int largestRectangleArea(vector<int>& heights)
- {
- heights.insert(heights.begin(),0);
- heights.push_back(0);
- int len = heights.size();
- int i ,res = 0,idx;
- stack<int> s;
- s.push(0);
- for(i=1;i<len;i++)
- {
- while(heights[i]<heights[idx=s.top()])
- {
- s.pop();
- res = max(res,heights[idx] * (i-s.top()-1));
- }
- s.push(i);
- }
- heights.erase(heights.begin());
- heights.pop_back();
- return res;
- }
- };
- // ---------------------- TLE -------------------
- /*
- 92 / 94 test cases passed.
- TLE point
- 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- Code
- class Solution {
- public:
- int largestRectangleArea(vector<int>& heights)
- {
- int ans = 0;
- int lh = heights.size();
- int lhm = lh -1;
- int left,right;
- for(int i=0;i<lh;i++)
- {
- if (heights[i]<=0) continue;
- left = i;right = i;
- while (left>0 && heights[left]>=heights[i])
- left--;
- if (heights[left]<heights[i]) left++;
- while (right<lhm && heights[right]>=heights[i])
- right++;
- if (heights[right]<heights[i]) right--;
- int nums = (right-left+1)*heights[i];
- if (nums>ans) ans=nums;
- }
- return ans;
- }
- };
- */
- // ----------------Seeing Discuss-----------
- /*
- copying codes
- url
- https://discuss.leetcode.com/topic/17224/a-really-simple-and-readable-c-solution-only-cost-12ms
- Analysis:
- First, check the four border of the matrix. If there is a element is
- 'O', alter it and all its neighbor 'O' elements to '1'.
- Then ,alter all the 'O' to 'X'
- At last,alter all the '1' to 'O'
- 哦,我还说有要怎么处理边界上的O,原来一开始就把所有跟边界连着的O都标记出来。
- 然后,最后再把这些标记过的O都变成O。
- 小结:
- 先把特殊的地方找出来单独标注,最后处理完所有后,再把特殊的地方覆盖上去。
- 也是不错的办法。
- */
- class Solution {
- public:
- void solve(vector<vector<char> >& board)
- {
- int i,j;
- int row = board.size();
- if(!row) return ;
- int col=board[0].size();
- for(i=0;i<row;i++)
- {
- check(board,i,0,row,col);
- if(col>1)
- check(board,i,col-1,row,col);
- }
- for(j=1;j+1<col;j++)
- {
- check(board,0,j,row,col);
- if(row>1)
- check(board,row-1,j,row,col);
- }
- for(i=0;i<row;i++)
- {
- for(j=0;j<col;j++)
- if (board[i][j]=='O') board[i][j]='X';
- }
- for(i=0;i<row;i++)
- {
- for(j=0;j<col;j++)
- if(board[i][j]=='1')
- board[i][j]='O';
- }
- }
- void check(vector<vector<char> >&vec,int i,int j,int row,int col)
- {
- if(vec[i][j]=='O')
- {
- vec[i][j]='1';
- if(i>1) check(vec,i-1,j,row,col);
- if(j>1) check(vec,i,j-1,row,col);
- if(i+1<row) check(vec,i+1,j,row,col);
- if(j+1<col) check(vec,i,j+1,row,col);
- }
- return ;
- }
- };
- // -----------------WA-------------
- /* 26 / 60 test cases passed.
- My thoughts:
- 1. 对于每个联通快,每次看连着的O,若这个O不在边界上,则如集合;否则,整个快都报废;
- 2. 当一整块没有可扩展的O,并且,没有O在边界上,则把他们都变成X
- 3. 注意判重
- */
- // ------------------- Seeing Discuss ---------------
- /*
- copying codes
- url
- https://discuss.leetcode.com/topic/25794/17-line-o-n-log-n-time-o-n-space-c-accepted-easy-solution-w-explanations
-
- Analysis:
- Step 1:
- Use a multimap to sort all boundary points. For a start point of an interval,
- let the height be positive; otherwise, let the height be negative. Time complexity: O(n log n)
- Step 2:
- Use a multiset (rather than a heap/priority_queue) to maintain the current set of heights
- to be considered. If a new start point is met, insert the height into the set, otherwise,
- delete the height. The current max height is the back() element of the multiset.
- For each point, the time complexity is O(log n). The overall time complexity is O(n log n).
- Step 3:
- Delete the points with equal heights. Time: O(n)
- Time Complexity: O(n log n)
- Space Complexity: O(n)
- */
-
- class Solution {
- public:
- vector<pair<int, int> > getSkyline(vector<vector<int>>& buildings)
- {
- multimap<int,int> coords;
- for(const vector<int> & building:buildings)
- {
- coords.emplace(building[0],building[2]);
- coords.emplace(building[1],-building[2]);
- }
- multiset<int> heights ={0};
- vector<pair<int,int> > corners;
- int x = -1;
- int y = 0;
- for(const pair<int,int> &p : coords)
- {
- if((x>=0)&&(p.first!=x)&&(corners.empty() || (corners.rbegin()->second !=y)))
- {
- corners.emplace_back(x,y);
- }
- if(p.second>=0)
- {
- heights.insert(p.second);
- }
- else
- {
- heights.erase(heights.find(-p.second));
- }
- x=p.first;
- y=*heights.rbegin();
- }
- if(!corners.empty()) corners.emplace_back(x,0);
- return corners;
- }
- };
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