机器学习实践之手写数字识别－数据初识_手写数字集train.csv-优快云博客

本文链接：https://blog.youkuaiyun.com/net_wolf_007/article/details/51672830

本文介绍了一次使用Kaggle平台上的手写数字识别数据集进行机器学习实践的经历。通过展示训练数据的具体格式和部分内容，读者可以了解到每条数据记录包含一个数字标签及对应28x28像素矩阵的灰度值。此实战旨在帮助初学者更好地理解手写数字识别任务的数据处理过程。

摘要生成于 C知道，由 DeepSeek-R1 满血版支持，前往体验 >

最近想整理下机器学习的知识，最好的方法还是实践。打算用kaggle的题目来练习。

首先使用的是手写数字识别。

题目网址： https://www.kaggle.com/c/digit-recognizer

数据下载地址： https://www.kaggle.com/c/digit-recognizer/data

训练数据：test.csv，测试数据：test.csv

文件格式：第一为列的标识，后面的都为数据。测试数据有28000个，训练数据为 42000个。

cat test.csv |wc -l
   28001
cat train.csv |wc -l
   42001

数据格式：第一个为数字，后面为数据。数据维度 28*28

数据显示：

def displayFile(fileName):
    line_number = 0
    with open(fileName, "r") as mFile:
        for line in mFile:
            line_number += 1
            if line_number <= 1:continue
            if line_number > 10: break
            lst = line.split(',')
            print("  num: {}".format(lst[0]))
            for i in range(28):
                print(",".join(["%3s" % item for item in lst[i*28+1: i*28+29]]))

displayFile("data/train.csv")

显示内容：

  num: 1
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  0,  0,  0,  0,  0,  0,  0,  0,  0, 22,188,253,245, 93,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
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  num: 0
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  0,  0,  0,  0,  0,  0,  0,  0, 13, 86,250,254,254,254,254,217,246,151, 32,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 16,179,254,254,254,254,254,254,254,254,254,231, 54, 15,  0,  0,  0,  0,  0,  0,  0
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  0,  0,  0,  0,  0,  0, 61,191,254,254,254,254,254,109, 83,199,254,254,254,254,243, 85,  0,  0,  0,  0,  0,  0
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  0,  0,  0,  0,  0,  0, 28,247, 17,  0,  0,  0,  0,  0,  0,  0,  0, 27,202,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,242,155,  0,  0,  0,  0,  0,  0,  0,  0, 27,254, 63,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,160,207,  6,  0,  0,  0,  0,  0,  0,  0, 27,254, 65,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,127,254, 21,  0,  0,  0,  0,  0,  0,  0, 20,239, 65,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 77,254, 21,  0,  0,  0,  0,  0,  0,  0,  0,195, 65,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 70,254, 21,  0,  0,  0,  0,  0,  0,  0,  0,195,142,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 56,251, 21,  0,  0,  0,  0,  0,  0,  0,  0,195,227,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,222,153,  5,  0,  0,  0,  0,  0,  0,  0,120,240, 13,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0, 67,251, 40,  0,  0,  0,  0,  0,  0,  0, 94,255, 69,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,234,184,  0,  0,  0,  0,  0,  0,  0, 19,245, 69,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,234,169,  0,  0,  0,  0,  0,  0,  0,  3,199,182, 10,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,154,205,  4,  0,  0, 26, 72,128,203,208,254,254,131,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0, 61,254,129,113,186,245,251,189, 75, 56,136,254, 73,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0, 15,216,233,233,159,104, 52,  0,  0,  0, 38,254, 73,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 18,254, 73,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 18,254, 73,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  5,206,106,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,186,159,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  6,209,101,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 0

  num: 0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  1, 25,130,155,254,254,254,157, 30,  2,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  8,103,253,253,253,253,253,253,253,253,114,  2,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 11,208,253,253,253,253,253,253,253,253,253,253,107,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 31,253,253,253,253,253,253,253,253,253,253,253,215,101,  3,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0, 23,210,253,253,253,248,161,222,222,246,253,253,253,253,253, 39,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,136,253,253,253,229, 77,  0,  0,  0, 70,218,253,253,253,253,215, 91,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  5,214,253,253,253,195,  0,  0,  0,  0,  0,104,224,253,253,253,253,215, 29,  0,  0,  0,  0
  0,  0,  0,  0,  0,116,253,253,253,247, 75,  0,  0,  0,  0,  0,  0, 26,200,253,253,253,253,216,  4,  0,  0,  0
  0,  0,  0,  0,  0,254,253,253,253,195,  0,  0,  0,  0,  0,  0,  0,  0, 26,200,253,253,253,253,  5,  0,  0,  0
  0,  0,  0,  0,  0,254,253,253,253, 99,  0,  0,  0,  0,  0,  0,  0,  0,  0, 25,231,253,253,253, 36,  0,  0,  0
  0,  0,  0,  0,  0,254,253,253,253, 99,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,223,253,253,253,129,  0,  0,  0
  0,  0,  0,  0,  0,254,253,253,253, 99,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,127,253,253,253,129,  0,  0,  0
  0,  0,  0,  0,  0,254,253,253,253, 99,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,139,253,253,253, 90,  0,  0,  0
  0,  0,  0,  0,  0,254,253,253,253, 99,  0,  0,  0,  0,  0,  0,  0,  0,  0, 78,248,253,253,253,  5,  0,  0,  0
  0,  0,  0,  0,  0,254,253,253,253,216, 34,  0,  0,  0,  0,  0,  0,  0, 33,152,253,253,253,107,  1,  0,  0,  0
  0,  0,  0,  0,  0,206,253,253,253,253,140,  0,  0,  0,  0,  0, 30,139,234,253,253,253,154,  2,  0,  0,  0,  0
  0,  0,  0,  0,  0, 16,205,253,253,253,250,208,106,106,106,200,237,253,253,253,253,209, 22,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0, 82,253,253,253,253,253,253,253,253,253,253,253,253,253,209, 22,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  1, 91,253,253,253,253,253,253,253,253,253,253,213, 90,  7,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  1, 18,129,208,253,253,253,253,159,129, 90,  4,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 0

  num: 0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  3,141,202,254,193, 44,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  5,165,254,179,163,249,244, 72,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,135,254,150,  0,  0,189,254,243, 31,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 82,248,209,  5,  0,  0,164,236,254,115,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  8,211,254, 58,  0,  0,  0,  0, 33,230,212,  6,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,119,254,156,  3,  0,  0,  0,  0, 18,230,254, 33,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0, 10,212,254, 35,  0,  0,  0,  0,  0, 33,254,254, 33,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,116,254,154,  3,  0,  0,  0,  0,  0, 33,254,254, 33,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,124,254,115,  0,  0,  0,  0,  0,  0,160,254,239, 23,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,203,254, 35,  0,  0,  0,  0,  0,  0,197,254,178,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 23,239,221, 11,  0,  0,  0,  0,  0,  0,198,255,123,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 23,238,178,  0,  0,  0,  0,  0,  0, 10,219,254, 96,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 30,249,204,  0,  0,  0,  0,  0,  0, 25,235,254, 62,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 26,243,204,  0,  0,  0,  0,  0,  0, 91,254,248, 36,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 33,254,204,  0,  0,  0,  0,  0, 67,241,254,133,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 33,254,214,  7,  0,  0,  0, 50,242,254,194, 24,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  5,193,254, 78,  0,  0, 19,128,254,195, 36,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,103,254,222, 74,143,235,254,228, 83,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0, 30,242,254,254,254,254,252, 84,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0, 23, 64,158,200,174, 61,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 0

  num: 7
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0, 82,152, 71, 51, 51, 21, 41, 51, 51, 51, 51,113,193,152, 30,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,122,253,252,253,252,223,243,253,252,253,252,253,252,233, 30,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,123,102, 41,102,102,102,102,102,102,102,162,254,253,142,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,203,102,  0,  0,  0,  0,  0,  0,  0,  0,183,253,212, 20,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,203,142,  0,  0,  0,  0,  0,  0,  0, 11,213,254, 91,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0, 41,243,102,  0,  0,  0,  0,  0,  0,  0, 51,252,172, 10,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0, 41,223,102,  0,  0,  0,  0,  0,  0,  0,214,253,102,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0, 20, 20,  0,  0,  0,  0,  0,  0,  0,253,252,102,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 62,254,253, 41,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,102,253,171,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,163,254, 91,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,203,253, 50,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 51,253,254, 50,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 51,252,253, 50,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 51,253,254, 50,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 51,252,213, 10,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,152,253, 82,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,233,252,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 21,255,253,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 20,253,212,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 0

  num: 3
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0, 21,130,190,254,254,250,175,135, 96, 96, 16,  4,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0, 26,102,186,254,254,248,222,222,225,254,254,254,254,254,206,112,  4,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,207,254,254,177,117, 39,  0,  0, 56,248,102, 48, 48,103,192,254,135,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0, 91,111, 36,  0,  0,  0,  0,  0, 72, 92,  0,  0,  0,  0, 12,224,210,  5,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 50,139,240,254, 66,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  7,121,220,254,244,194, 15,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  8,107,112,112,112, 87,112,141,218,248,177, 68, 20,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 77,221,254,254,254,254,254,225,104, 39,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0, 10, 32, 32, 32, 32,130,215,195, 47,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  6,111,231,174,  5,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0, 47, 18,  0,  0,  0,  0,  0,  0,  0,  0,  0, 40,228,205, 35,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0, 22,234, 42,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 56,212,226, 38,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0, 96,157,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 30,215,188,  9,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0, 96,142,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 86,254, 68,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0, 71,202, 15,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  6,214,151,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0, 10,231, 86,  2,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,191,207,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0, 93,248,129,  7,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,117,238,112,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0, 94,248,209, 73, 12,  0,  0,  0,  0,  0,  0, 42,147,252,136,  9,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 48,160,215,230,158, 74, 64, 94,153,223,250,214,105,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0, 11,129,189,234,224,255,194,134, 75,  6,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 0

  num: 5
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 41,149,156,179,254,254,201,119, 46,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 13,147,241,253,253,254,253,253,253,253,245,160,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 31,224,253,253,180,174,175,174,174,174,174,223,247,145,  6,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  7,197,254,253,165,  2,  0,  0,  0,  0,  0,  0, 12,102,184, 16,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,152,253,254,162, 18,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,235,254,158, 15,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0, 74,250,253, 15,  0,  0,  0, 16, 20, 19,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  7,199,253,253,  0,  0, 25,130,235,254,247,145,  6,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0, 20,253,253,177,100,219,240,253,253,254,253,253,125,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  5,193,253,253,254,253,253,200,155,155,238,253,229, 23,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0, 61,249,254,241,150, 30,  0,  0,  0,215,254,254, 58,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0, 36, 39, 30,  0,  0,  0,  0,  0,214,253,234, 31,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 41,241,253,183,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,201,253,253,102,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,114,254,253,154,  5,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 62,254,255,241, 30,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 10,118,235,253,249,103,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0, 55, 81,  0,102,211,253,253,253,135,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0, 79,243,234,254,253,253,216,117,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0, 48,245,253,254,207,126, 27,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0
  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0, 0