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<h1>1093. Count PAT's (25)</h1>
<div id="problemContent">
<p>
The string <i>APPAPT</i> contains two <i>PAT</i>'s as substrings. The first one is formed by the 2nd, the 4th, and the 6th characters, and the second one is formed by the 3rd, the 4th, and the 6th characters.
</p>
<p>Now given any string, you are supposed to tell the number of <i>PAT</i>'s contained in the string.</p>
<p><b>
Input Specification:
</b></p>
<p>Each input file contains one test case. For each case, there is only one line giving a string of no more than 10<sup>5</sup> characters containing only P, A, or T.
</p>
<p><b>
Output Specification:
</b></p>
<p>
For each test case, print in one line the number of <i>PAT</i>'s contained in the string. Since the result may be a huge number, you only have to output the result moded by 1000000007.
</p>
<b>Sample Input:</b><pre>
APPAPT
</pre>
<b>Sample Output:</b><pre>
2
</pre>
</div>