<p>The string <code>&quot;PAYPALISHIRING&quot;</code> is written in a zigzag pattern on a given number of rows like this: (you may want to display this pattern in a fixed font for better legibility)</p>

<pre>
P   A   H   N
A P L S I I G
Y   I   R
</pre>

<p>And then read line by line: <code>&quot;PAHNAPLSIIGYIR&quot;</code></p>

<p>Write the code that will take a string and make this conversion given a number of rows:</p>

<pre>
string convert(string s, int numRows);
</pre>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> s = &quot;PAYPALISHIRING&quot;, numRows = 3
<strong>Output:</strong> &quot;PAHNAPLSIIGYIR&quot;
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> s = &quot;PAYPALISHIRING&quot;, numRows = 4
<strong>Output:</strong> &quot;PINALSIGYAHRPI&quot;
<strong>Explanation:</strong>
P     I    N
A   L S  I G
Y A   H R
P     I
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> s = &quot;A&quot;, numRows = 1
<strong>Output:</strong> &quot;A&quot;
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= s.length &lt;= 1000</code></li>
	<li><code>s</code> consists of English letters (lower-case and upper-case), <code>&#39;,&#39;</code> and <code>&#39;.&#39;</code>.</li>
	<li><code>1 &lt;= numRows &lt;= 1000</code></li>
</ul>

class Solution {
public:
    void make_move(int &row, int &col, bool &isDiag, const int &numRows) {
        if (row == numRows - 1) {
                isDiag = 1;
        }
        if (row == 0){
            isDiag = 0;
        }
        if (isDiag == 0) {
            ++row;
        }
        else {
            --row;
            col++;
        }
    }


    string convert(string s, int numRows) {
        int numFullCols = s.size() / numRows + 1;
        int numCols = numFullCols + (numFullCols - 1) * (numRows - 2);
        vector<vector<char>> zigZagMatrix(numRows, vector<char>(numCols, 0));

        if (numRows == 1)
            return s;
            
        int len = s.size();
        int i = 0, j = 0;
        bool direction = 0;
        for (int k = 0; k < len; ++k) {
            zigZagMatrix[i][j] = s[k];
            make_move(i, j, direction, numRows);
        }

        string out = "";
        for (auto &vectCh : zigZagMatrix) {
            for (auto ch : vectCh )
                if (ch != 0) {
                    out.push_back(ch);
                }

        }

        return out;    
    }
};
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