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QOJ

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

#22734. 天平

Statistics

Farmer John 有稱牛天平和 $N$ ($1 \le N \le 1000$) 個已知質量砝碼(均 31 位容納),用在一側。牛放一側,砝碼另側直到平衡。不能同側,牛有機會就踢砝碼到他臉上。一側總質量超 $C$ ($1 \le C < 2^{30}$) 會壞。

砝碼由小至大,第三個起每個至少前兩個之和。

求砝碼可精確量的最大質量,總量不大於 $C$,可能不能全放。

寫程式由列表及天平承受上限求合法精確稱量最大值。

輸入格式

第 1 列:空格分隔正整數 $N$、$C$。

第 $2..N+1$ 列:每列一正整數砝碼質量,保證非遞減。

輸出格式

第 1 列:一整數,最大準確安全測量質量。

範例

輸入格式 1

3 15
1
10
20

輸出格式 1

11

說明

三砝碼 1、10、20,一側上限 15。

用 1 和 10 量 11,任何可組更大值皆弄壞。

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