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

#22339. 母牛的骰子

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Bessie 喜愛桌遊與角色扮演遊戲,因此說服 Farmer John 開車帶她去愛好商店,買了三顆骰子。這些公平骰子分別有 $S1$、$S2$、$S3$ 個面,$(2 \le S1 \le 20; 2 \le S2 \le 20; 2 \le S3 \le 40)$。

Bessie 不停擲骰子,想知道三顆骰子的點數和中哪個出現最多。

給定三顆骰子各自的面數,求出現最頻繁的點數和。若多個和並列最多,報告其中最小的。

輸入格式

  • 第 1 行:三個空格分隔整數 $S1$、$S2$、$S3$。

輸出格式

  • 第 1 行:所有可能組合中出現最多的最小整數和。

範例

輸入格式 1

3 2 3

輸出格式 1

5

說明

以下是全部可能結果。

1 1 1 -> 3  1 2 1 -> 4  2 1 1 -> 4  2 2 1 -> 5  3 1 1 -> 5  3 2 1 -> 6 1 1 2 -> 4  1 2 2 -> 5  2 1 2 -> 5  2 2 2 -> 6  3 1 2 -> 6  3 2 2 -> 7 1 1 3 -> 5  1 2 3 -> 6  2 1 3 -> 6  2 2 3 -> 7  3 1 3 -> 7  3 2 3 -> 8

5 和 6 都出現最多,各五次,所以答案是 5。

子任務

分值:70

題目作者:Rob Kolstad,2008

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