第 478 场 AtCoder Beginner Contest
B
配料
Topping
AtCoder
⌀ 0
原题
← AC →

配料AI (CI翻译)

Problem Statement

题目描述

AI (CI翻译)

Takahashi is at a ramen shop.

高桥正在一家拉面店里。AI (CI翻译)

This shop has $N$ kinds of toppings, and the $i$-th topping has a price of $i$ and a happiness of $W_i$.

这家店有 $N$ 种配料,第 $i$ 种配料的价格为 $i$,带来的幸福值为 $W_i$。AI (CI翻译)

Takahashi chooses three distinct kinds of toppings so that the total price is at most $V$. Find the maximum possible total happiness of the toppings he chooses.

高桥要从中选择三种互不相同的配料,使总价格不超过 $V$。求所选配料的幸福值之和的最大值。AI (CI翻译)

The constraints guarantee that there is at least one way to choose three distinct kinds of toppings so that the total price is at most $V$.

保证至少存在一种选择三种互不相同的配料且总价格不超过 $V$ 的方案。AI (CI翻译)

Constraints

约束条件

AI (CI翻译)
  • $3 \leq N \leq 100$
  • $6 \leq V \leq 3N-3$
  • $1 \leq W_i \leq 10^6$
  • All input values are integers.
  • $3 \leq N \leq 100$
  • $6 \leq V \leq 3N-3$
  • $1 \leq W_i \leq 10^6$
  • 所有输入值均为整数。
AI (CI翻译)

Input

输入格式

AI (CI翻译)

The input is given from Standard Input in the following format:

输入从标准输入按以下格式给出:AI (CI翻译)

N V
W_1 W_2 \dots W_N

N V
W_1 W_2 \dots W_N
AI (CI翻译)

Output

输出格式

AI (CI翻译)

Output the answer in one line.

将答案输出到一行中。AI (CI翻译)

样例

Input #1
5 9
31 41 59 26 53
Output #1
143
When choosing the first, third, and fifth toppings, the total price is $1+3+5=9$, and the total happiness is $31+59+53=143$.
Input #2
10 16
102228 448944 131224 326172 500169 670309 976672 579051 974511 773940
Output #2
2095925
When choosing the second, sixth, and seventh toppings, the total price is $2+6+7=15$, and the total happiness is $448944+670309+976672=2095925$.
题目信息
题号
abc478_b
时间限制
2 s
内存限制
1024 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(gpt-6.1-sol),如有出入请以原文为准。