Irreversible operation

AtCoder
IDagc029_a
Time2000ms
Memory256MB
Difficulty
There are $N$ Reversi pieces arranged in a row. (A _Reversi piece_ is a disc with a black side and a white side.) The state of each piece is represented by a string $S$ of length $N$. If $S_i=$`B`, the $i$\-th piece from the left is showing black; If $S_i=$`W`, the $i$\-th piece from the left is showing white. Consider performing the following operation: * Choose $i$ ($1 \leq i < N$) such that the $i$\-th piece from the left is showing black and the $(i+1)$\-th piece from the left is showing white, then flip both of those pieces. That is, the $i$\-th piece from the left is now showing white and the $(i+1)$\-th piece from the left is now showing black. Find the maximum possible number of times this operation can be performed. ## Constraints * $1 \leq |S| \leq 2\times 10^5$ * $S_i=$`B` or `W` ## Input Input is given from Standard Input in the following format: $S$ [samples]
Samples
Input #1
BBW
Output #1
2

The operation can be performed twice, as follows:

*   Flip the second and third pieces from the left.
*   Flip the first and second pieces from the left.
Input #2
BWBWBW
Output #2
6
API Response (JSON)
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    "name": "Irreversible operation",
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      "description_type": "Markdown"
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    "platform": "AtCoder",
    "limit": {
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      "memory_limit": 262144
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      "statement_type": "Markdown",
      "content": "There are $N$ Reversi pieces arranged in a row. (A _Reversi piece_ is a disc with a black side and a white side.) The state of each piece is represented by a string $S$ of length $N$. If $S_i=$`B`, th...",
      "is_translate": false,
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