Spiral Matrix
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Given a matrix of m x n elements (m rows, n columns), return all elements of the matrix in spiral order.
For example,
Given the following matrix:
[ [ 1, 2, 3 ], [ 4, 5, 6 ], [ 7, 8, 9 ]]
You should return [1,2,3,6,9,8,7,4,5]
.
solution
同Spiral Matrix II
class Solution {public: vector<int> spiralOrder(vector<vector<int>>& matrix) { vector<int> ret; if(matrix.empty() || matrix[0].empty()) return ret; int m = matrix.size(); int n = matrix[0].size(); if(m == 1 && n == 1) { ret.push_back(matrix[0][0]); return ret; } int rowBegin = 0; int rowEnd = m - 1; int colBegin = 0; int colEnd = n - 1; while (rowBegin <= rowEnd && colBegin <= colEnd) { //左-->右 for(int i = colBegin;i<= colEnd;i++) { ret.push_back(matrix[rowBegin][i]); } rowBegin++; //上-->下 for(int i = rowBegin;i<= rowEnd;i++) { ret.push_back(matrix[i][colEnd]); } colEnd--; //右-->左,加if判断,避免重复 if(rowBegin <= rowEnd) { for(int i = colEnd; i>= colBegin;i--) { ret.push_back(matrix[rowEnd][i]); } rowEnd--; } //下-->上,加if判断,避免重复 if(colBegin <= colEnd) { for(int i = rowEnd;i>=rowBegin;i--) { ret.push_back(matrix[i][colBegin]); } colBegin++; } } return ret; }};
对于每一层(记为层i),以(i,i)位置出发,向右到达(i,n-1-i),向下到达(m-1-i,n-1-i),向左到达(m-1-i,i),再向上回到起点。
所有层次遍历完成后,即得到所求数组
注意:i==m-1-i 或者 i==n-1-i时,不要来回重复遍历。
//http://www.cnblogs.com/ganganloveu/p/4157376.html//剑指offer还是哪里有这个题,解法似乎没这么复杂class Solution {public: vector<int> spiralOrder(vector<vector<int> > &matrix) { vector<int> ret; if(matrix.empty() || matrix[0].empty()) return ret; int m = matrix.size(); int n = matrix[0].size(); int layer = (min(m,n)+1) / 2; for(int i = 0; i < layer; i ++) { //row i: top-left --> top-right for(int j = i; j < n-i; j ++) ret.push_back(matrix[i][j]); //col n-1-i: top-right --> bottom-right for(int j = i+1; j < m-i; j ++) ret.push_back(matrix[j][n-1-i]); //row m-1-i: bottom-right --> bottom-left if(m-1-i > i) { for(int j = n-1-i-1; j >= i; j --) ret.push_back(matrix[m-1-i][j]); } //col i: bottom-left --> top-left if(n-1-i > i) { for(int j = m-1-i-1; j > i; j --) ret.push_back(matrix[j][i]); } } return ret; }};
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