一道找规律的题
找规律（1，100）（2,3)(3,10)(4,5)（5,14)(6,7)(7,16)(8,11)（9,19).........请向下写出连续的3个组合加点思维过程好吗?...
找规律
（1，100） （2,3) (3,10) (4,5)
（5,14) (6,7) (7,16) (8,11)
（9,19).........
请向下写出连续的3个组合
加点思维过程好吗?
写些易懂的好吗?
这是高二的题啊!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 展开
（1，100） （2,3) (3,10) (4,5)
（5,14) (6,7) (7,16) (8,11)
（9,19).........
请向下写出连续的3个组合
加点思维过程好吗?
写些易懂的好吗?
这是高二的题啊!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 展开
22个回答
展开全部
(1,100)
(2,3 )
(3,10 )
(4,5 )
(5,14 )
(6,7 )
(7,16 )
(8,11 )
(9,19 )
(10,13 )
(11,24 )
(12,17 )
我原是二楼的,大家要过程,我只能修改了,同时鄙视楼上抄袭者
看成是函数y=ax^8+bx^7+cx^6+dx^5+ex^4+fx^3+gx^2+hx+i
g.m文件为：function y=g(x,k)
y=x^k;
end
>> for k=1:9
B(k)=g(2,9-k)
end
B =
256 0 0 0 0 0 0 0 0
B =
256 128 0 0 0 0 0 0 0
B =
256 128 64 0 0 0 0 0 0
B =
256 128 64 32 0 0 0 0 0
B =
256 128 64 32 16 0 0 0 0
B =
256 128 64 32 16 8 0 0 0
B =
256 128 64 32 16 8 4 0 0
B =
256 128 64 32 16 8 4 2 0
B =
256 128 64 32 16 8 4 2 1
>> for k=1:9
A(k)=g(1,9-k)
end
A =
1
A =
1 1
A =
1 1 1
A =
1 1 1 1
A =
1 1 1 1 1
A =
1 1 1 1 1 1
A =
1 1 1 1 1 1 1
A =
1 1 1 1 1 1 1 1
A =
1 1 1 1 1 1 1 1 1
>> for k=1:9
C(k)=g(3,9-k)
end
C =
6561
C =
6561 2187
C =
6561 2187 729
C =
6561 2187 729 243
C =
6561 2187 729 243 81
C =
Columns 1 through 5
6561 2187 729 243 81
Column 6
27
C =
Columns 1 through 5
6561 2187 729 243 81
Columns 6 through 7
27 9
C =
Columns 1 through 5
6561 2187 729 243 81
Columns 6 through 8
27 9 3
C =
Columns 1 through 5
6561 2187 729 243 81
Columns 6 through 9
27 9 3 1
>> for k=1:9
D(k)=g(4,9-k)
end
D =
65536
D =
65536 16384
D =
65536 16384 4096
D =
65536 16384 4096 1024
D =
65536 16384 4096 1024 256
D =
Columns 1 through 5
65536 16384 4096 1024 256
Column 6
64
D =
Columns 1 through 5
65536 16384 4096 1024 256
Columns 6 through 7
64 16
D =
Columns 1 through 5
65536 16384 4096 1024 256
Columns 6 through 8
64 16 4
D =
Columns 1 through 5
65536 16384 4096 1024 256
Columns 6 through 9
64 16 4 1
>> for k=1:9
E(k)=g(5,9-k)
end
E =
390625
E =
390625 78125
E =
390625 78125 15625
E =
390625 78125 15625 3125
E =
390625 78125 15625 3125 625
E =
Columns 1 through 5
390625 78125 15625 3125 625
Column 6
125
E =
Columns 1 through 5
390625 78125 15625 3125 625
Columns 6 through 7
125 25
E =
Columns 1 through 5
390625 78125 15625 3125 625
Columns 6 through 8
125 25 5
E =
Columns 1 through 5
390625 78125 15625 3125 625
Columns 6 through 9
125 25 5 1
>> for k=1:9
F(k)=g(6,9-k)
end
F =
1679616
F =
1679616 279936
F =
1679616 279936 46656
F =
1679616 279936 46656 7776
F =
1679616 279936 46656 7776 1296
F =
Columns 1 through 5
1679616 279936 46656 7776 1296
Column 6
216
F =
Columns 1 through 5
1679616 279936 46656 7776 1296
Columns 6 through 7
216 36
F =
Columns 1 through 5
1679616 279936 46656 7776 1296
Columns 6 through 8
216 36 6
F =
Columns 1 through 5
1679616 279936 46656 7776 1296
Columns 6 through 9
216 36 6 1
>> for k=1:9
G(k)=g(7,9-k)
end
G =
5764801
G =
5764801 823543
G =
5764801 823543 117649
G =
5764801 823543 117649 16807
G =
5764801 823543 117649 16807 2401
G =
Columns 1 through 5
5764801 823543 117649 16807 2401
Column 6
343
G =
Columns 1 through 5
5764801 823543 117649 16807 2401
Columns 6 through 7
343 49
G =
Columns 1 through 5
5764801 823543 117649 16807 2401
Columns 6 through 8
343 49 7
G =
Columns 1 through 5
5764801 823543 117649 16807 2401
Columns 6 through 9
343 49 7 1
>> for k=1:9
H(k)=g(8,9-k)
end
H =
16777216
H =
16777216 2097152
H =
16777216 2097152 262144
H =
16777216 2097152 262144 32768
H =
16777216 2097152 262144 32768 4096
H =
Columns 1 through 5
16777216 2097152 262144 32768 4096
Column 6
512
H =
Columns 1 through 5
16777216 2097152 262144 32768 4096
Columns 6 through 7
512 64
H =
Columns 1 through 5
16777216 2097152 262144 32768 4096
Columns 6 through 8
512 64 8
H =
Columns 1 through 5
16777216 2097152 262144 32768 4096
Columns 6 through 9
512 64 8 1
>> for k=1:9
I(k)=g(9,9-k)
end
I =
43046721
I =
43046721 4782969
I =
43046721 4782969 531441
I =
43046721 4782969 531441 59049
I =
43046721 4782969 531441 59049 6561
I =
Columns 1 through 5
43046721 4782969 531441 59049 6561
Column 6
729
I =
Columns 1 through 5
43046721 4782969 531441 59049 6561
Columns 6 through 7
729 81
I =
Columns 1 through 5
43046721 4782969 531441 59049 6561
Columns 6 through 8
729 81 9
I =
Columns 1 through 5
43046721 4782969 531441 59049 6561
Columns 6 through 9
729 81 9 1
>> M=[A;B;C;D;E;F;G;H;I]
M =
Columns 1 through 5
1 1 1 1 1
256 128 64 32 16
6561 2187 729 243 81
65536 16384 4096 1024 256
390625 78125 15625 3125 625
1679616 279936 46656 7776 1296
5764801 823543 117649 16807 2401
16777216 2097152 262144 32768 4096
43046721 4782969 531441 59049 6561
Columns 6 through 9
1 1 1 1
8 4 2 1
27 9 3 1
64 16 4 1
125 25 5 1
216 36 6 1
343 49 7 1
512 64 8 1
729 81 9 1
>> N=[100,3,10,5,14,7,16,11,19]'
N =
100
3
10
5
14
7
16
11
19
>> Q=N/M
??? Error using ==> mrdivide
Matrix dimensions must agree.
>> Q=det(M)
Q =
5.0566e+015
>> inv(M)
ans =
Columns 1 through 6
0.0000 -0.0002 0.0007 -0.0014 0.0017 -0.0014
-0.0011 0.0085 -0.0292 0.0569 -0.0694 0.0542
0.0205 -0.1556 0.5167 -0.9806 1.1632 -0.8833
-0.2139 1.5639 -5.0125 9.2028 -10.5903 7.8250
1.3554 -9.4264 28.9021 -51.0681 56.8976 -40.9292
-5.3243 34.5847 -100.3250 169.7903 -183.0903 128.4875
12.6241 -74.4179 201.5806 -325.9500 340.9375 -234.1861
-16.4607 83.8429 -209.6333 324.9500 -331.2500 223.6333
9.0000 -36.0000 84.0000 -126.0000 126.0000 -84.0000
Columns 7 through 9
0.0007 -0.0002 0.0000
-0.0264 0.0073 -0.0009
0.4194 -0.1139 0.0135
-3.6264 0.9639 -0.1125
18.5549 -4.8431 0.5568
-57.1472 14.6931 -1.6687
102.5250 -26.0429 2.9297
-96.7000 24.3357 -2.7179
36.0000 -9.0000 1.0000
>> P=inv(M)
P =
Columns 1 through 6
0.0000 -0.0002 0.0007 -0.0014 0.0017 -0.0014
-0.0011 0.0085 -0.0292 0.0569 -0.0694 0.0542
0.0205 -0.1556 0.5167 -0.9806 1.1632 -0.8833
-0.2139 1.5639 -5.0125 9.2028 -10.5903 7.8250
1.3554 -9.4264 28.9021 -51.0681 56.8976 -40.9292
-5.3243 34.5847 -100.3250 169.7903 -183.0903 128.4875
12.6241 -74.4179 201.5806 -325.9500 340.9375 -234.1861
-16.4607 83.8429 -209.6333 324.9500 -331.2500 223.6333
9.0000 -36.0000 84.0000 -126.0000 126.0000 -84.0000
Columns 7 through 9
0.0007 -0.0002 0.0000
-0.0264 0.0073 -0.0009
0.4194 -0.1139 0.0135
-3.6264 0.9639 -0.1125
18.5549 -4.8431 0.5568
-57.1472 14.6931 -1.6687
102.5250 -26.0429 2.9297
-96.7000 24.3357 -2.7179
36.0000 -9.0000 1.0000
>> Q=P*N
Q =
1.0e+003 *
0.0000
-0.0010
0.0177
-0.1639
0.9052
-3.0313
5.9686
-6.2693
2.6740
>>
>> W=Q'
W =
1.0e+003 *
Columns 1 through 6
0.0000 -0.0010 0.0177 -0.1639 0.9052 -3.0313
Columns 7 through 9
5.9686 -6.2693 2.6740
>> Z=zeros(9,1)
Z =
0
0
0
0
0
0
0
0
0
>> for k=1:9
Z(k)=g(10,9-k)
Z =
0
0
0
0
0
0
0
0
1
>> for k=1:9
Z(k)=g(10,9-k)
end
Z =
100000000
0
0
0
0
0
0
0
1
Z =
100000000
10000000
0
0
0
0
0
0
1
Z =
100000000
10000000
1000000
0
0
0
0
0
1
Z =
100000000
10000000
1000000
100000
0
0
0
0
1
Z =
100000000
10000000
1000000
100000
10000
0
0
0
1
Z =
100000000
10000000
1000000
100000
10000
1000
0
0
1
Z =
100000000
10000000
1000000
100000
10000
1000
100
0
1
Z =
100000000
10000000
1000000
100000
10000
1000
100
10
1
Z =
100000000
10000000
1000000
100000
10000
1000
100
10
1
>> y=W*Z
y =
2.0140e+003 y(10)
>> for k=1:9
Z(k)=g(11,9-k)
end
Z =
214358881
10000000
1000000
100000
10000
1000
100
10
1
Z =
214358881
19487171
1000000
100000
10000
1000
100
10
1
Z =
214358881
19487171
1771561
100000
10000
1000
100
10
1
Z =
214358881
19487171
1771561
161051
10000
1000
100
10
1
Z =
214358881
19487171
1771561
161051
14641
1000
100
10
1
Z =
214358881
19487171
1771561
161051
14641
1331
100
10
1
Z =
214358881
19487171
1771561
161051
14641
1331
121
10
1
Z =
214358881
19487171
1771561
161051
14641
1331
121
11
1
Z =
214358881
19487171
1771561
161051
14641
1331
121
11
1
>> y=W*Z
y =
1.6149e+004 y(11)
(2,3 )
(3,10 )
(4,5 )
(5,14 )
(6,7 )
(7,16 )
(8,11 )
(9,19 )
(10,13 )
(11,24 )
(12,17 )
我原是二楼的,大家要过程,我只能修改了,同时鄙视楼上抄袭者
看成是函数y=ax^8+bx^7+cx^6+dx^5+ex^4+fx^3+gx^2+hx+i
g.m文件为：function y=g(x,k)
y=x^k;
end
>> for k=1:9
B(k)=g(2,9-k)
end
B =
256 0 0 0 0 0 0 0 0
B =
256 128 0 0 0 0 0 0 0
B =
256 128 64 0 0 0 0 0 0
B =
256 128 64 32 0 0 0 0 0
B =
256 128 64 32 16 0 0 0 0
B =
256 128 64 32 16 8 0 0 0
B =
256 128 64 32 16 8 4 0 0
B =
256 128 64 32 16 8 4 2 0
B =
256 128 64 32 16 8 4 2 1
>> for k=1:9
A(k)=g(1,9-k)
end
A =
1
A =
1 1
A =
1 1 1
A =
1 1 1 1
A =
1 1 1 1 1
A =
1 1 1 1 1 1
A =
1 1 1 1 1 1 1
A =
1 1 1 1 1 1 1 1
A =
1 1 1 1 1 1 1 1 1
>> for k=1:9
C(k)=g(3,9-k)
end
C =
6561
C =
6561 2187
C =
6561 2187 729
C =
6561 2187 729 243
C =
6561 2187 729 243 81
C =
Columns 1 through 5
6561 2187 729 243 81
Column 6
27
C =
Columns 1 through 5
6561 2187 729 243 81
Columns 6 through 7
27 9
C =
Columns 1 through 5
6561 2187 729 243 81
Columns 6 through 8
27 9 3
C =
Columns 1 through 5
6561 2187 729 243 81
Columns 6 through 9
27 9 3 1
>> for k=1:9
D(k)=g(4,9-k)
end
D =
65536
D =
65536 16384
D =
65536 16384 4096
D =
65536 16384 4096 1024
D =
65536 16384 4096 1024 256
D =
Columns 1 through 5
65536 16384 4096 1024 256
Column 6
64
D =
Columns 1 through 5
65536 16384 4096 1024 256
Columns 6 through 7
64 16
D =
Columns 1 through 5
65536 16384 4096 1024 256
Columns 6 through 8
64 16 4
D =
Columns 1 through 5
65536 16384 4096 1024 256
Columns 6 through 9
64 16 4 1
>> for k=1:9
E(k)=g(5,9-k)
end
E =
390625
E =
390625 78125
E =
390625 78125 15625
E =
390625 78125 15625 3125
E =
390625 78125 15625 3125 625
E =
Columns 1 through 5
390625 78125 15625 3125 625
Column 6
125
E =
Columns 1 through 5
390625 78125 15625 3125 625
Columns 6 through 7
125 25
E =
Columns 1 through 5
390625 78125 15625 3125 625
Columns 6 through 8
125 25 5
E =
Columns 1 through 5
390625 78125 15625 3125 625
Columns 6 through 9
125 25 5 1
>> for k=1:9
F(k)=g(6,9-k)
end
F =
1679616
F =
1679616 279936
F =
1679616 279936 46656
F =
1679616 279936 46656 7776
F =
1679616 279936 46656 7776 1296
F =
Columns 1 through 5
1679616 279936 46656 7776 1296
Column 6
216
F =
Columns 1 through 5
1679616 279936 46656 7776 1296
Columns 6 through 7
216 36
F =
Columns 1 through 5
1679616 279936 46656 7776 1296
Columns 6 through 8
216 36 6
F =
Columns 1 through 5
1679616 279936 46656 7776 1296
Columns 6 through 9
216 36 6 1
>> for k=1:9
G(k)=g(7,9-k)
end
G =
5764801
G =
5764801 823543
G =
5764801 823543 117649
G =
5764801 823543 117649 16807
G =
5764801 823543 117649 16807 2401
G =
Columns 1 through 5
5764801 823543 117649 16807 2401
Column 6
343
G =
Columns 1 through 5
5764801 823543 117649 16807 2401
Columns 6 through 7
343 49
G =
Columns 1 through 5
5764801 823543 117649 16807 2401
Columns 6 through 8
343 49 7
G =
Columns 1 through 5
5764801 823543 117649 16807 2401
Columns 6 through 9
343 49 7 1
>> for k=1:9
H(k)=g(8,9-k)
end
H =
16777216
H =
16777216 2097152
H =
16777216 2097152 262144
H =
16777216 2097152 262144 32768
H =
16777216 2097152 262144 32768 4096
H =
Columns 1 through 5
16777216 2097152 262144 32768 4096
Column 6
512
H =
Columns 1 through 5
16777216 2097152 262144 32768 4096
Columns 6 through 7
512 64
H =
Columns 1 through 5
16777216 2097152 262144 32768 4096
Columns 6 through 8
512 64 8
H =
Columns 1 through 5
16777216 2097152 262144 32768 4096
Columns 6 through 9
512 64 8 1
>> for k=1:9
I(k)=g(9,9-k)
end
I =
43046721
I =
43046721 4782969
I =
43046721 4782969 531441
I =
43046721 4782969 531441 59049
I =
43046721 4782969 531441 59049 6561
I =
Columns 1 through 5
43046721 4782969 531441 59049 6561
Column 6
729
I =
Columns 1 through 5
43046721 4782969 531441 59049 6561
Columns 6 through 7
729 81
I =
Columns 1 through 5
43046721 4782969 531441 59049 6561
Columns 6 through 8
729 81 9
I =
Columns 1 through 5
43046721 4782969 531441 59049 6561
Columns 6 through 9
729 81 9 1
>> M=[A;B;C;D;E;F;G;H;I]
M =
Columns 1 through 5
1 1 1 1 1
256 128 64 32 16
6561 2187 729 243 81
65536 16384 4096 1024 256
390625 78125 15625 3125 625
1679616 279936 46656 7776 1296
5764801 823543 117649 16807 2401
16777216 2097152 262144 32768 4096
43046721 4782969 531441 59049 6561
Columns 6 through 9
1 1 1 1
8 4 2 1
27 9 3 1
64 16 4 1
125 25 5 1
216 36 6 1
343 49 7 1
512 64 8 1
729 81 9 1
>> N=[100,3,10,5,14,7,16,11,19]'
N =
100
3
10
5
14
7
16
11
19
>> Q=N/M
??? Error using ==> mrdivide
Matrix dimensions must agree.
>> Q=det(M)
Q =
5.0566e+015
>> inv(M)
ans =
Columns 1 through 6
0.0000 -0.0002 0.0007 -0.0014 0.0017 -0.0014
-0.0011 0.0085 -0.0292 0.0569 -0.0694 0.0542
0.0205 -0.1556 0.5167 -0.9806 1.1632 -0.8833
-0.2139 1.5639 -5.0125 9.2028 -10.5903 7.8250
1.3554 -9.4264 28.9021 -51.0681 56.8976 -40.9292
-5.3243 34.5847 -100.3250 169.7903 -183.0903 128.4875
12.6241 -74.4179 201.5806 -325.9500 340.9375 -234.1861
-16.4607 83.8429 -209.6333 324.9500 -331.2500 223.6333
9.0000 -36.0000 84.0000 -126.0000 126.0000 -84.0000
Columns 7 through 9
0.0007 -0.0002 0.0000
-0.0264 0.0073 -0.0009
0.4194 -0.1139 0.0135
-3.6264 0.9639 -0.1125
18.5549 -4.8431 0.5568
-57.1472 14.6931 -1.6687
102.5250 -26.0429 2.9297
-96.7000 24.3357 -2.7179
36.0000 -9.0000 1.0000
>> P=inv(M)
P =
Columns 1 through 6
0.0000 -0.0002 0.0007 -0.0014 0.0017 -0.0014
-0.0011 0.0085 -0.0292 0.0569 -0.0694 0.0542
0.0205 -0.1556 0.5167 -0.9806 1.1632 -0.8833
-0.2139 1.5639 -5.0125 9.2028 -10.5903 7.8250
1.3554 -9.4264 28.9021 -51.0681 56.8976 -40.9292
-5.3243 34.5847 -100.3250 169.7903 -183.0903 128.4875
12.6241 -74.4179 201.5806 -325.9500 340.9375 -234.1861
-16.4607 83.8429 -209.6333 324.9500 -331.2500 223.6333
9.0000 -36.0000 84.0000 -126.0000 126.0000 -84.0000
Columns 7 through 9
0.0007 -0.0002 0.0000
-0.0264 0.0073 -0.0009
0.4194 -0.1139 0.0135
-3.6264 0.9639 -0.1125
18.5549 -4.8431 0.5568
-57.1472 14.6931 -1.6687
102.5250 -26.0429 2.9297
-96.7000 24.3357 -2.7179
36.0000 -9.0000 1.0000
>> Q=P*N
Q =
1.0e+003 *
0.0000
-0.0010
0.0177
-0.1639
0.9052
-3.0313
5.9686
-6.2693
2.6740
>>
>> W=Q'
W =
1.0e+003 *
Columns 1 through 6
0.0000 -0.0010 0.0177 -0.1639 0.9052 -3.0313
Columns 7 through 9
5.9686 -6.2693 2.6740
>> Z=zeros(9,1)
Z =
0
0
0
0
0
0
0
0
0
>> for k=1:9
Z(k)=g(10,9-k)
Z =
0
0
0
0
0
0
0
0
1
>> for k=1:9
Z(k)=g(10,9-k)
end
Z =
100000000
0
0
0
0
0
0
0
1
Z =
100000000
10000000
0
0
0
0
0
0
1
Z =
100000000
10000000
1000000
0
0
0
0
0
1
Z =
100000000
10000000
1000000
100000
0
0
0
0
1
Z =
100000000
10000000
1000000
100000
10000
0
0
0
1
Z =
100000000
10000000
1000000
100000
10000
1000
0
0
1
Z =
100000000
10000000
1000000
100000
10000
1000
100
0
1
Z =
100000000
10000000
1000000
100000
10000
1000
100
10
1
Z =
100000000
10000000
1000000
100000
10000
1000
100
10
1
>> y=W*Z
y =
2.0140e+003 y(10)
>> for k=1:9
Z(k)=g(11,9-k)
end
Z =
214358881
10000000
1000000
100000
10000
1000
100
10
1
Z =
214358881
19487171
1000000
100000
10000
1000
100
10
1
Z =
214358881
19487171
1771561
100000
10000
1000
100
10
1
Z =
214358881
19487171
1771561
161051
10000
1000
100
10
1
Z =
214358881
19487171
1771561
161051
14641
1000
100
10
1
Z =
214358881
19487171
1771561
161051
14641
1331
100
10
1
Z =
214358881
19487171
1771561
161051
14641
1331
121
10
1
Z =
214358881
19487171
1771561
161051
14641
1331
121
11
1
Z =
214358881
19487171
1771561
161051
14641
1331
121
11
1
>> y=W*Z
y =
1.6149e+004 y(11)
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（1，100）
(2,3)
(3,10)
(4,5)
（5,14)
(6,7)
(7,16)
(8,11)
（9,19).........
所以..
(10,?)
(11,?)
(12,?)
(2,3)
(3,10)
(4,5)
（5,14)
(6,7)
(7,16)
(8,11)
（9,19).........
所以..
(10,?)
(11,?)
(12,?)
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1,100)
2,3 )
3,10 )
4,5 )
5,14 )
6,7 )
7,16 )
8,11 )
9,19 )
10,13 )
11,24 )
12,17 )
2,3 )
3,10 )
4,5 )
5,14 )
6,7 )
7,16 )
8,11 )
9,19 )
10,13 )
11,24 )
12,17 )
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我只知道（10.19）(12.51)
因为3－5是2 5－7是2 7－11是4（2×2）
11－19是8（2×4） 所以19－51是32(4*8)
至于11是什么，我就不知道了......
因为3－5是2 5－7是2 7－11是4（2×2）
11－19是8（2×4） 所以19－51是32(4*8)
至于11是什么，我就不知道了......
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这道题太强了.汗!!研究了半天,仍是毫无头绪.实在是无能为力.!!!我也想知道!!!
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（1，100） （2,3) (3,10) (4,5)
（5,14) (6,7) (7,16) (8,11)
（9,19)
---------------------------------
(10,?)
(11,?)
(12,?)
高手实在太难了!!!~~~~
（5,14) (6,7) (7,16) (8,11)
（9,19)
---------------------------------
(10,?)
(11,?)
(12,?)
高手实在太难了!!!~~~~
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