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

#22795. 邮票

Statistics

给定邮票面值集合(如 {1, 3, 5})和信封最多可贴的张数(如五张)。求能支付的最长连续邮资区间。用 {1, 3, 5}、最多五张,可以组成:

  1: 1        6: 1+5       11: 5+5+1     16: 5+5+3+3      21: 5+5+5+3+3
  2: 1+1      7: 5+1+1     12: 5+5+1+1   17: 5+5+5+1+1    22: ????
  3: 3        8: 5+3       13: 5+5+3     18: 5+5+5+3
  4: 1+3      9: 5+3+1     14: 5+5+3+1   19: 5+5+5+3+1
  5: 5       10: 5+5       15: 5+5+5     20: 5+5+5+5

似乎无法用至多五张组成 22 分。因此可组成 $[1,21]$ 范围,共 21 个连续面值。但最长连续区间不一定从 1 开始。

输入格式

  • 第 $1$ 行:空格分隔整数 $S$($1 \le S \le 20$),邮票种类数,及 $E$($1 \le E \le 10$),信封最多可贴张数。

  • 第 $2$ 行:$S$ 个不同的空格分隔正整数,邮票面值($1 \le \text{stampval} \le 1000$)。

输出格式

组合邮票可组成的连续面值个数的最大值。

样例

输入格式 1

3 5
1 3 5

输出格式 1

21

题目来源:1995 ACM 总决赛。

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