Zigzag:即循环对角线结构
0 | 8 | 16 | |||||||||
1 | 7 | 9 | 15 | 17 | |||||||
2 | 6 | 10 | 14 | 18 | |||||||
3 | 5 | 11 | 13 | 19 | |||||||
4 | 12 | 20 |
向下循环:nRows
斜角线循环:nRows-2(减去首尾两个端点)
重复
Solution 1: 结果正确,但超时了
class Solution {
public:
string convert(string s, int numRows) {
int ilength = s.length();
int gap = 2*numRows - 2;
string sresult; //resulted string
int i;
if(ilength <= numRows || numRows == 1)
{
return s;
}
for ( i = 0; i <= numRows; i ++)
{
int ipoint = i; //current location in string s,range in (0,numRows)
int ichange = 1; //lable two kinds of steps
int step1 = gap - 2*i;
int step2 = 2*i;
sresult += s[ipoint];
while(sresult.length() < ilength)
{
if(ichange)
{
ipoint += step1;
sresult += s[ipoint];
ichange = 1 - ichange;
}
else
{
ipoint += step2;
sresult += s[ipoint];
ichange = 1 - ichange;
}
}
}
return sresult;
}
};
Solution 2:一种效率较高的做法
class Solution {
public:
string convert(string s, int numRows) {
if(numRows == 1) return s;
vector<string> res(numRows);
int i = 0, j, gap = numRows-2;
while(i < s.size()){
for(j = 0; i < s.size() && j < numRows; ++j)
{
res[j].push_back( s[i++]);
}
for(j = gap; i < s.size() && j > 0; --j)
{
res[j].push_back( s[i++]);
}
}
string str = "";
for(i = 0; i < numRows; ++i)
str += res[i];
return str;}
把每一行设为一个string向量,共numRows行(行号从0开始)
按照zigzag的顺序,先给每一行依次读取一个数据,中间过渡的行有gap=numRows-2行,倒着回去从第gap行到第1行(行号从0开始)依次再读取数据,直至到s的末尾。