10195_StarryNig

2022-5-16 18:16| 发布者: Hocassian| 查看: 64| 评论: 0|原作者: 肇庆学院ACM合集

摘要:
C:\Users\Administrator\Downloads\2019-10-12-10-14-3-89504650411100-Problem List-采集的数据-后羿采集器.html

Pro.ID

10195

Title

Starry Night

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=10195

AC

4

Submit

7

Ratio

57.14%

时间&空间限制

  • Time Limit: 400/200 MS (Java/Others)     Memory Limit: 65536/65536 K (Java/Others)
  • 描述

    High up in the night sky, the shining stars appear in clusters of various shapes. A cluster is a non-empty group of neighbouring stars, adjacent in horizontal, vertical or diagonal direction. A cluster cannot be a part of a larger cluster.

    Clusters may be similar. Two clusters are similar if they have the same shape and number of stars, irrespective of their orientation. In general, the number of possible orientations for a cluster is eight, as Figure 1 exemplifies.

    Figure 1. Eight similar clusters

    The night sky is represented by a sky map, which is a two-dimensional matrix of 0's and 1's. A cell contains the digit 1 if it has a star, and the digit 0 otherwise.

    Given a sky map, mark all the clusters with lower case letters. Similar clusters must be marked with the same letter; non-similar clusters must be marked with different letters.

    You mark a cluster with a lower case letter by replacing every 1 in the cluster by that lower case letter.

    输入

    Multiple test cases. For each case,

    The first two lines contain, respectively, the width W and the height H of a sky map. The sky map is given in the following H lines, of W characters each.

    0 ≤ W (width of the sky map) ≤ 100

    0 ≤ H (height of the sky map) ≤ 100

    0 ≤ Number of clusters ≤ 500

    0 ≤ Number of non-similar clusters ≤ 26 (a..z)

    1 ≤ Number of stars per cluster ≤ 160

    输出

    Description

    High up in the night sky, the shining stars appear in clusters of various shapes. A cluster is a non-empty group of neighbouring stars, adjacent in horizontal, vertical or diagonal direction. A cluster cannot be a part of a larger cluster.

    Clusters may be similar. Two clusters are similar if they have the same shape and number of stars, irrespective of their orientation. In general, the number of possible orientations for a cluster is eight, as Figure 1 exemplifies.

    Figure 1. Eight similar clusters

    The night sky is represented by a sky map, which is a two-dimensional matrix of 0's and 1's. A cell contains the digit 1 if it has a star, and the digit 0 otherwise.

    Given a sky map, mark all the clusters with lower case letters. Similar clusters must be marked with the same letter; non-similar clusters must be marked with different letters.

    You mark a cluster with a lower case letter by replacing every 1 in the cluster by that lower case letter.

    Input

    Multiple test cases. For each case,

    The first two lines contain, respectively, the width W and the height H of a sky map. The sky map is given in the following H lines, of W characters each.

    0 ≤ W (width of the sky map) ≤ 100

    0 ≤ H (height of the sky map) ≤ 100

    0 ≤ Number of clusters ≤ 500

    0 ≤ Number of non-similar clusters ≤ 26 (a..z)

    1 ≤ Number of stars per cluster ≤ 160

    Output

    For each case, the output contains the same map as the input file, except that the clusters are marked as described in Task.

    There will generally be more than one way to label the clusters with letters. Your program should choose the labeling such that if the entire output file is read as a string, this string will be minimal in the lexicographical ordering.

    Output a blank line after each case.

    Sample Input

    23
    15
    10001000000000010000000
    01111100011111000101101
    01000000010001000111111
    00000000010101000101111
    00000111010001000000000
    00001001011111000000000
    10000001000000000000000
    00101000000111110010000
    00001000000100010011111
    00000001110101010100010
    00000100110100010000000
    00010001110111110000000
    00100001110000000100000
    00001000100001000100101
    00000001110001000111000

    In this case, the sky map has width 23 and height 15. Just to make it clearer, notice that this input file corresponds to the following picture of the sky.


    Figure 2. Picture of the sky

    Sample Output

    a000a0000000000b0000000
    0aaaaa000ccccc000d0dd0d
    0a0000000c000c000dddddd
    000000000c0b0c000d0dddd
    00000eee0c000c000000000
    0000e00e0ccccc000000000
    b000000e000000000000000
    00b0f000000ccccc00a0000
    0000f000000c000c00aaaaa
    0000000ddd0c0b0c0a000a0
    00000b00dd0c000c0000000
    000g000ddd0ccccc0000000
    00g0000ddd0000000e00000
    0000b000d0000f000e00e0b
    0000000ddd000f000eee000

    This is one possible result for the sample input above. Notice that this output file corresponds to the following picture.


    Figure 3. Picture with the clusters marked

    Source

    样例输入

    23
    15
    10001000000000010000000
    01111100011111000101101
    01000000010001000111111
    00000000010101000101111
    00000111010001000000000
    00001001011111000000000
    10000001000000000000000
    00101000000111110010000
    00001000000100010011111
    00000001110101010100010
    00000100110100010000000
    00010001110111110000000
    00100001110000000100000
    00001000100001000100101
    00000001110001000111000

    In this case, the sky map has width 23 and height 15. Just to make it clearer, notice that this input file corresponds to the following picture of the sky.


    Figure 2. Picture of the sky

    样例输出

    a000a0000000000b0000000
    0aaaaa000ccccc000d0dd0d
    0a0000000c000c000dddddd
    000000000c0b0c000d0dddd
    00000eee0c000c000000000
    0000e00e0ccccc000000000
    b000000e000000000000000
    00b0f000000ccccc00a0000
    0000f000000c000c00aaaaa
    0000000ddd0c0b0c0a000a0
    00000b00dd0c000c0000000
    000g000ddd0ccccc0000000
    00g0000ddd0000000e00000
    0000b000d0000f000e00e0b
    0000000ddd000f000eee000

    This is one possible result for the sample input above. Notice that this output file corresponds to the following picture.


    Figure 3. Picture with the clusters marked

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