MRCTF2021 plane复现

题目名称：

plane

题目描述：

this plane cannot fly

Hint:

plane：721x-402y+9110z-1197483=0

复现:

题目附件为一张图片，图片名：(153, 15, 120),(51, 104, 132),(229, 38, 115).png

比赛时看到这张图片直接就是懵的，莫得任何想法。赛后和大师傅们交流了一下才知道是什么意思。要是比赛时多想想估计也就做出来了呜呜。

hint实际上是一个平面方程，这题主要考的就是理解，实际难度并不大。plane除了有飞机的意思以外，还有平面的意思，而一个平面由三点确定。图片名的三个点，正好可以求出一个确定的平面。平面的计算是高中知识，已经忘得差不多了，只能现场补补了。

import numpy as np
mark_pic = [(153, 15, 120),(51, 104, 132),(229, 38, 115)]

sign1 = np.array(mark_pic[0]) #以矩阵格式保存坐标
sign2 = np.array(mark_pic[1])
sign3 = np.array(mark_pic[2])

AB = np.asmatrix(sign1 - sign2) 
AC = np.asmatrix(sign1 - sign3)

n = np.cross(AB, AC) #向量相乘求法向量
# Ax+By+Cz = -D
Ax = n[0][0]
By = n[0][1]
Cz = n[0][2]
D = -(Ax*sign1[0] + By*sign1[1] + Cz*sign1[2]) #任意代入一个坐标点求平面
print(Ax, By, Cz, D)

#-721 402 -9110 1197483

求出来的结果即为hint1的平面方程。

一个平面方程有三个未知数，一个像素点的颜色RGB也恰好是三位，尝试将像素点带进方程，大于0则为则颜色为0，小于0则颜色为1，脚本如下：

from PIL import Image
import numpy as np

Ax,By,Cz,D = 721,-402,9110,-1197483
pic = Image.open("(153, 15, 120),(51, 104, 132),(229, 38, 115).png")
a,b = pic.size
pic_flag = Image.new('L', (a,b))
for y in range(b):
    for x in range(a):
        r1,g1,b1 = pic.getpixel((x,y))
        if r1*Ax+ g1*By + b1*Cz+ D > 0:
            pic_flag.putpixel((x, y), 0)
        else:
            pic_flag.putpixel((x, y), 255)
            #print(flag)
pic_flag.show()
#pic_flag.save("flag.png")

得到图片：

最后读取二进制即可获得flag，读取方式有点特殊，需要从最下面一行开始读取，且需要点特殊操作。

读取二进制后得到字符串：

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

连续base64解密后即可得到flag

最终一把梭脚本如下：

from PIL import Image
from Crypto.Util.number import *
import base64
import numpy as np
mark_pic = [(153, 15, 120),(51, 104, 132),(229, 38, 115)]

sign1 = np.array(mark_pic[0]) #以矩阵格式保存坐标
sign2 = np.array(mark_pic[1])
sign3 = np.array(mark_pic[2])

AB = np.asmatrix(sign1 - sign2) 
AC = np.asmatrix(sign1 - sign3)

n = np.cross(AB, AC) #向量相乘求法向量
# Ax+By+Cz = -D
Ax = -n[0][0]
By = -n[0][1]
Cz = -n[0][2]
D = -(Ax*sign1[0] + By*sign1[1] + Cz*sign1[2]) #任意代入一个坐标点求平面
#print(Ax, By, Cz, D)

pic = Image.open("(153, 15, 120),(51, 104, 132),(229, 38, 115).png")
a,b = pic.size
pic_flag = Image.new('L', (a,b))
for y in range(b):
    for x in range(a):
        r1,g1,b1 = pic.getpixel((x,y))
        if r1*Ax+ g1*By + b1*Cz+ D > 0:
            pic_flag.putpixel((x, y), 0)
        else:
            pic_flag.putpixel((x, y), 255)
            #print(flag)
#pic_flag.show()
#pic_flag.save("flag.png")

sign = ''
for x in range(a):
    for y in range(b):
        if pic_flag.getpixel((x,400-y-1)):
            sign += '1'
        else:
            sign += '0'
flag1 = long_to_bytes(int(sign, 2))
flag = b''
for i in range(0,20000,50):
    flag += flag1[i:i+50][::-1]

while 1:
    try:
        flag = base64.b64decode(flag)
    except:
        print(flag)
        break