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QOJ

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#5038. 城市

Statistiques

歡迎來到西安,各位 ICPC 參賽者。

西安是一座美麗的古都,曾是周、秦、漢、唐等朝代的首都。由於歷史悠久,西安的街道呈現網格狀分佈。

Coach Pang 對這種街道結構很感興趣,他想在黑板上畫一個 $n \times m$ 的網格進行研究。該網格由 $n + 1$ 條垂直線段和 $m + 1$ 條水平線段組成。這些垂直與水平線段在恰好 $(n + 1) \times (m + 1)$ 個點處相交,形成了 $n \times m$ 個單位正方形。我們將這 $(n + 1) \times (m + 1)$ 個交點稱為網格點。請輸出滿足以下三個條件的線段 $l$(不限於垂直或水平線段)的數量:

  1. 長度不為零。
  2. $l$ 的兩個端點皆為網格點。
  3. $l$ 的中點為網格點。

輸入格式

輸入僅包含一行,包含兩個整數 $n, m$ ($1 \le n, m \le 1000$)。

輸出格式

請在單行中輸出答案。

範例

輸入 1

1 1

輸出 1

0

輸入 2

2 3

輸出 2

14

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