CF644A.Parliament of Berland

入门

通过率:0%

时间限制:1.00s

内存限制:256MB

AC君温馨提醒

该题目为【codeforces】题库的题目,您提交的代码将被提交至codeforces进行远程评测,并由ACGO抓取测评结果后进行展示。由于远程测评的测评机由其他平台提供,我们无法保证该服务的稳定性,若提交后无反应,请等待一段时间后再进行重试。

题目描述

There are n parliamentarians in Berland. They are numbered with integers from 1 to n. It happened that all parliamentarians with odd indices are Democrats and all parliamentarians with even indices are Republicans.

New parliament assembly hall is a rectangle consisting of a × b chairs — a rows of b chairs each. Two chairs are considered neighbouring if they share as side. For example, chair number 5 in row number 2 is neighbouring to chairs number 4 and 6 in this row and chairs with number 5 in rows 1 and 3. Thus, chairs have four neighbours in general, except for the chairs on the border of the hall

We know that if two parliamentarians from one political party (that is two Democrats or two Republicans) seat nearby they spent all time discussing internal party issues.

Write the program that given the number of parliamentarians and the sizes of the hall determine if there is a way to find a seat for any parliamentarian, such that no two members of the same party share neighbouring seats.

伯兰德有 nn 名议员,编号为 11 到 nn。已知所有编号为奇数的议员是民主党人,所有编号为偶数的议员是共和党人。

新议会大厅是一个由 a×ba \times b 个座位组成的矩形——共 aa 行,每行 bb 个座位。若两个座位有一条公共边,则称它们为相邻座位。例如,第 22 行第 55 号座位与同一行的第 44 号和第 66 号座位相邻,也与第 11 行和第 33 行的第 55 号座位相邻。因此,一般情况下每个座位有 44 个相邻座位,但位于大厅边缘的座位除外。

我们已知:若两名同党派议员(即两名民主党人或两名共和党人)坐在相邻座位上,则他们会将全部时间用于讨论党内事务。

请编写一个程序:给定议员总数 nn 和大厅尺寸 aa、bb,判断是否存在一种安排方式,使得每名议员均有座位,且任意两名同党派议员均不坐在相邻座位上。

输入格式

The first line of the input contains three integers n, a and b (1 ≤ n ≤ 10 000, 1 ≤ a, b ≤ 100) — the number of parliamentarians, the number of rows in the assembly hall and the number of seats in each row, respectively.

输入的第一行包含三个整数 nn、aa 和 bb(1 ≤ n ≤ 10 0001 ≤ n ≤ 10\,000,1 ≤ a, b ≤ 1001 ≤ a,\,b ≤ 100),分别表示议会代表人数、会议厅的行数以及每行的座位数。

输出格式

If there is no way to assigns seats to parliamentarians in a proper way print -1.

Otherwise print the solution in a lines, each containing b integers. The j-th integer of the i-th line should be equal to the index of parliamentarian occupying this seat, or 0 if this seat should remain empty. If there are multiple possible solution, you may print any of them.

如果无法以恰当的方式为议员分配座位,则输出 -1。

否则,输出 a 行解,每行包含 b 个整数。第 i 行的第 j 个整数应等于坐在该座位上的议员的编号;若该座位应保持空置,则输出 0。若存在多种可能的解,输出任意一种即可。

输入输出样例

  • 输入#1

    3 2 2

    输出#1

    0 3
    1 2
  • 输入#2

    8 4 3

    输出#2

    7 8 3
    0 1 4
    6 0 5
    0 2 0
  • 输入#3

    10 2 2

    输出#3

    -1

说明/提示

In the first sample there are many other possible solutions. For example,

3 2
0 1

and

2 1
3 0

The following assignment

3 2
1 0

is incorrect, because parliamentarians 1 and 3 are both from Democrats party but will occupy neighbouring seats.

在第一个样例中,还有许多其他可能的解。例如,

3 2
0 1

以及

2 1
3 0

以下安排

3 2
1 0

是不正确的,因为议员 1 和 3 均来自民主党,但却将坐在相邻的座位上。

输入解题思路,AI测评打分。不知道怎么写?

首页