CF1428G1.Lucky Numbers (Easy Version)

省选/NOI-

通过率:0%

时间限制:3.00s

内存限制:256MB

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题目描述

This is the easy version of the problem. The only difference is that in this version q=1q=1. You can make hacks only if all versions of the problem are solved.

Zookeeper has been teaching his qq sheep how to write and how to add. The ii-th sheep has to write exactly kk non-negative integers with the sum nin_i.

Strangely, sheep have superstitions about digits and believe that the digits 33, 66, and 99 are lucky. To them, the fortune of a number depends on the decimal representation of the number; the fortune of a number is equal to the sum of fortunes of its digits, and the fortune of a digit depends on its value and position and can be described by the following table. For example, the number 319319 has fortune F2+3F0F_{2} + 3F_{0}.

Each sheep wants to maximize the sum of fortune among all its kk written integers. Can you help them?

这是该问题的简单版本。唯一的区别是,在此版本中 q=1q=1。仅当该问题的所有版本均被解决时,才允许进行 Hack。

动物园管理员(Zookeeper)正在教他的 qq 只绵羊如何书写和加法运算。第 ii 只绵羊必须恰好写出 kk 个非负整数,且这些整数之和为 nin_i。

奇怪的是,绵羊对数字怀有迷信,认为数字 33、66 和 99 是幸运数字。对它们而言,一个数的“运势”(fortune)取决于该数的十进制表示;一个数的运势等于其各位数字的运势之和,而每位数字的运势则取决于该数字的值及其所在位置,具体由下表给出。例如,数字 319319 的运势为 F2+3F0F_{2} + 3F_{0}。

每只绵羊都希望最大化其所写的 kk 个整数的运势总和。你能帮助它们吗?

输入格式

The first line contains a single integer kk (1≤k≤9999991 \leq k \leq 999999): the number of numbers each sheep has to write.

The next line contains six integers F0F_0, F1F_1, F2F_2, F3F_3, F4F_4, F5F_5 (1≤Fi≤1091 \leq F_i \leq 10^9): the fortune assigned to each digit.

The next line contains a single integer qq (q=1q = 1): the number of sheep.

Each of the next qq lines contains a single integer nin_i (1≤ni≤9999991 \leq n_i \leq 999999): the sum of numbers that ii-th sheep has to write. In this version, there is only one line.

第一行包含一个整数 kk(1≤k≤9999991 \leq k \leq 999999):每只绵羊需要书写的数字个数。

第二行包含六个整数 F0F_0, F1F_1, F2F_2, F3F_3, F4F_4, F5F_5(1≤Fi≤1091 \leq F_i \leq 10^9):分别对应数字 00 至 55 的运势值。

第三行包含一个整数 qq(q=1q = 1):绵羊的数量。

接下来的 qq 行中,每行包含一个整数 nin_i(1≤ni≤9999991 \leq n_i \leq 999999):第 ii 只绵羊需要书写的数字之和。在本版本中,仅有一行。

输出格式

Print qq lines, where the ii-th line contains the maximum sum of fortune of all numbers of the ii-th sheep. In this version, you should print only one line.

输出 qq 行,其中第 ii 行包含第 ii 只羊的所有数字的运势之和的最大值。在本版本中,你只需输出一行。

输入输出样例

  • 输入#1

    3
    1 2 3 4 5 6
    1
    57

    输出#1

    11
  • 输入#2

    3
    1 2 3 4 5 6
    1
    63

    输出#2

    8

说明/提示

In the first test case, 57=9+9+3957 = 9 + 9 + 39. The three 99's contribute 1⋅31 \cdot 3 and 33 at the tens position contributes 2⋅12 \cdot 1. Hence the sum of fortune is 1111.

In the second test case, 63=35+19+963 = 35 + 19 + 9. The sum of fortune is 88.

在第一个测试用例中,57=9+9+3957 = 9 + 9 + 39。三个 99 在个位上,贡献 1⋅31 \cdot 3;3939 中的 33 在十位上,贡献 2⋅12 \cdot 1。因此幸运值之和为 1111。

在第二个测试用例中,63=35+19+963 = 35 + 19 + 9。幸运值之和为 88。

输入解题思路,AI测评打分。不知道怎么写?

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