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Time Limit: 2 s Memory Limit: 256 MB Total points: 100

#22541. Bessie 的秘密牧場

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Farmer John 從牧場切下了幾乎無限多塊各種整數邊長的正方形草皮,有時 FJ 沒有正確啟動刀片,甚至切出了邊長為 0 的草皮。他將它們整齊堆放,Bessie 某天下午發現了這些草皮。

Bessie 一直想為秘密牧場鋪上美味的草,決定搬恰好四塊草皮過去,切成 $1\times1$ 小塊,鋪滿牧場的 $N$($1 \le N \le 10,000$)個單位正方形。

她想知道選四塊草皮鋪滿牧場有多少種方式。如果牧場大小為 4,有五種選擇:$(1,1,1,1)$、$(2,0,0,0)$、$(0,2,0,0)$、$(0,0,2,0)$、$(0,0,0,2)$。順序算數:$(4,3,2,1)$ 和 $(1,2,3,4)$ 是不同的選擇。

輸入格式

  • 第 1 行:一個整數 $N$。

輸出格式

  • 第 1 行:一個整數,表示 Bessie 為牧場選四塊草皮的不同方式數。

範例

輸入格式 1

4

輸出格式 1

5

題目作者:Jeffrey Wang,2007

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