CF545A.Toy Cars

入门

通过率:0%

时间限制:1.00s

内存限制:256MB

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题目描述

Little Susie, thanks to her older brother, likes to play with cars. Today she decided to set up a tournament between them. The process of a tournament is described in the next paragraph.

There are n toy cars. Each pair collides. The result of a collision can be one of the following: no car turned over, one car turned over, both cars turned over. A car is good if it turned over in no collision. The results of the collisions are determined by an n × n matrix А: there is a number on the intersection of the і-th row and j-th column that describes the result of the collision of the і-th and the j-th car:

  • - 1: if this pair of cars never collided.  - 1 occurs only on the main diagonal of the matrix.
  • 0: if no car turned over during the collision.
  • 1: if only the i-th car turned over during the collision.
  • 2: if only the j-th car turned over during the collision.
  • 3: if both cars turned over during the collision.

Susie wants to find all the good cars. She quickly determined which cars are good. Can you cope with the task?

小苏西在她哥哥的帮助下,喜欢玩小汽车。今天,她决定为这些小汽车举办一场锦标赛。锦标赛的过程如下所述。

共有 nn 辆玩具小汽车。每一对小汽车都会发生一次碰撞。每次碰撞的结果可能是以下三种情况之一:没有小汽车翻倒、仅一辆小汽车翻倒、两辆小汽车均翻倒。若一辆小汽车在所有碰撞中均未翻倒,则称其为“好车”。各次碰撞的结果由一个 n×nn \times n 矩阵 AA 给出:矩阵中第 ii 行第 jj 列的元素描述了第 ii 辆与第 jj 辆小汽车之间的碰撞结果:

  • −1-1:表示该对小汽车从未发生碰撞;−1-1 仅出现在矩阵的主对角线上;
  • 00:表示此次碰撞中没有小汽车翻倒;
  • 11:表示此次碰撞中仅第 ii 辆小汽车翻倒;
  • 22:表示此次碰撞中仅第 jj 辆小汽车翻倒;
  • 33:表示此次碰撞中两辆小汽车均翻倒。

小苏西希望找出所有“好车”。她已迅速确定了哪些小汽车是好车。你能否完成这项任务?

输入格式

The first line contains integer n (1 ≤ n ≤ 100) — the number of cars.

Each of the next n lines contains n space-separated integers that determine matrix A.

It is guaranteed that on the main diagonal there are  - 1, and  - 1 doesn't appear anywhere else in the matrix.

It is guaranteed that the input is correct, that is, if A__ij = 1, then A__ji = 2, if A__ij = 3, then A__ji = 3, and if A__ij = 0, then A__ji = 0.

第一行包含一个整数 nn(1≤n≤1001 \leq n \leq 100)—— 表示汽车的数量。

接下来的 nn 行,每行包含 nn 个用空格分隔的整数,用于确定矩阵 AA。

保证主对角线上的元素均为 −1-1,且 −1-1 不在矩阵的其他任何位置出现。

保证输入是合法的,即:若 Aij=1A_{ij} = 1,则 Aji=2A_{ji} = 2;若 Aij=3A_{ij} = 3,则 Aji=3A_{ji} = 3;若 Aij=0A_{ij} = 0,则 Aji=0A_{ji} = 0。

输出格式

Print the number of good cars and in the next line print their space-separated indices in the increasing order.

输出好车的数量,下一行按升序输出它们以空格分隔的索引。

输入输出样例

  • 输入#1

    3
    -1 0 0
    0 -1 1
    0 2 -1

    输出#1

    2
    1 3
  • 输入#2

    4
    -1 3 3 3
    3 -1 3 3
    3 3 -1 3
    3 3 3 -1

    输出#2

    0

输入解题思路,AI测评打分。不知道怎么写?

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