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Bài tập Tin ứng dụng trong địa chất

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BÀI TẬP THỰC HÀNH TIN ỨNG DỤNG
T.T

X

Y

Pb

Ti

V

Mn

Co

Ni

Cr

Cu

Zn

Ga

Be

Zr


1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30

31
32
33
34
35
36
37
38
39
40

330
775
938
1100
1263
560
885
1048
1210
1373
1698
1860
520
683
1008
1170
1495
1820
2460

790
953
1278
1440
1603
1765
1928
2090
2415
2578
2740
2903
1070
1233
1395
1720
2045
2370
2533
3020
3183

5645
4983
5099
5215
5331
4585
4818
4934

5050
5166
5399
5515
4305
4421
4654
4770
5003
5235
5545
4260
4376
4609
4725
4841
4958
5074
5190
5423
5539
5655
5771
4220
4336
4453
4685
4918
5150
5266

5615
5731

15
10
0.5
5
0.5
0.5
0.5
0
0.5
0.5
0.5
0.5
5
5
30
50
5
0.5
0.5
0.5
0.5
0
20
15
10
5
5

2
0
30
5
0.5
15
1
1
1
10
1
5
5

20
30
20
50
50
50
50
30
50
50
50
30
50
50
50
50

50
30
30
30
30
30
20
20
20
20
20
20
20
10
30
20
20
15
15
15
35
20
20
35

300
200
100
200
100

200
200
200
300
100
300
200
200
200
200
200
200
200
300
300
300
300
300
300
300
300
300
50
200
100
300
200
200
100
200

100
200
100
20
150

500
1500
500
1500
1500
1500
1500
1000
1000
1500
1500
1000
1500
1500
1500
500
1500
1000
1000
1500
1000
1000
1000
700

800
800
1000
1500
1000
300
1000
500
1000
500
1500
300
1000
1000
500
300

1
2
3
3
1
2
3
2
1
8
5
3
3

5
3
0.5
2
2
2
5
3
2
2
2
1
5
3
5
1
2
2
0.5
2
2
5
0.5
1
0.5
3
1

5
10

5
20
20
20
30
20
30
20
30
20
20
30
20
30
30
20
10
20
20
10
20
10
30
20
30
5
10
3
20
10

5
5
5
10
3
3
2
2

3
5
3
5
5
5
5
3
5
5
2
5
5
10
5
5
5
5
5
5
5

3
3
3
5
5
5
3
5
3
5
5
10
10
20
10
10
10
5
5

30
10
1
10
5
5
5
10
10
10

5
1
5
10
50
150
10
5
5
10
5
3
30
20
10
20
20
5
5
10
10
5
20
5
5
5
10
5
5
5


10
5
0
0
0
0
5
5
10
10
5
5
10
10
25
30
5
5
0
10
10
5
10
10
10
5
10
5
10

20
5
10
10
10
10
10
5
5
5
5

0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
1
1
1

1
1
1
1
1
1
1
1
1
0.5
0.5
0.5
1
1
1
1
1
1
1
2
1
1

0.1
0.2
0.2
0.2
0.2
0.2
0.2

0.2
0.2
0.2
0.2
0.2
0.2
0.2
0.2
0
0.2
0.2
0.2
0.2
0
0.2
0.2
0.2
0.2
0.2
0.2
0.1
0.1
0.2
0.1
0.1
0.2
0.1
0.2
0
0.1

0.1
0.1
0.1

0.5
1
1
1
1
1
1
0.5
1
1
1
0.5
1
1
1
0.5
0.5
1
0.5
1
0.5
0.5
0.5
0.5
0.5
0.5

0.5
1
1
0.5
1
0.5
1
0.5
1
0.5
0.5
0.5
1
1

1


41
42
43
44
45
46
47
48
49
50
51
52

53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82

83
84
85

540
703
865
1028
1190
1353
1515
1678
1840
2003
2165
2328
2490
2815
3140
3465
3628
3790
650
813
975
1138
1300
1463
1625
2113

4063
600
925
1088
1250
1413
1575
1738
1900
2063
2225
2713
2875
3038
3525
3688
4175
4338
4500

3585
3701
3818
3934
4050
4166
4283
4399
4515
4631

4748
4864
4980
5213
5445
5678
5794
5910
3425
3541
3658
3774
3890
4006
4123
4471
5866
3150
3383
3499
3615
3731
3848
3964
4080
4196
4313
4661
4778
4894

5243
5359
5708
5824
5940

5
5
10
5
2
2
2
3
2
1
5
0.5
0.5
0.5
0.5
0.5
0.5
2
3
1
1
2
2
3

10
5
5
5
0.5
15
0.5
0.5
0
50
30
1
5
5
5
5
1
1
20
15
2

10
10
40
20
20
20
35
35

20
10
10
10
10
5
5
5
5
10
10
10
5
10
10
10
30
30
30
30
30
40
40
20
10
20
20
20
20
45

45
20
10
10
10
20
20

150
50
20
10
100
50
300
300
50
20
10
10
150
400
20
30
50
200
100
200
200
200

200
200
100
100
100
50
100
100
200
200
200
200
200
100
200
200
200
100
100
100
100
100
50

300
300
300
300
500
300

300
700
600
800
700
600
300
200
200
200
300
500
300
200
200
200
300
500
500
1000
500
200
500
500
500
500
300
1000
1000
300

300
500
800
700
500
500
600
800
300

5
2
2
1
0.5
1
2
2
3
2
0.5
3
1
2
3
0.5
1
0.5
1
2

1
1
1
2
0.5
2
2
1
3
0.5
5
3
2
2
1
2
2
1
0
1
2
2
1
3
1

2

1
6

8
1
3
5
10
5
3
2
1
1
1
7
8
1
1
3
3
2
3
2
2
3
5
3
1
5
6
7
1
1

1
1
8
1
2
1
1
2
2
3
3
3
10

5
5
5
5
5
5
5
10
5
5
5
3
3
3
2
2

3
10
5
5
3
3
3
3
3
3
5
2
3
3
2
5
2
5
3
2
3
5
5
5
10
10
10
10
10


2
3
10
3
3
3
5
3
1
1
2
2
1
5
5
5
1
2
2
2
3
5
10
10
10
3
5
1
10
20

5
5
10
100
50
5
10
5
10
5
5
5
10
10
5

5
5
15
5
5
5
5
5
5
5
5
5
5
5

5
5
5
5
5
5
5
5
10
10
10
5
5
5
5
5
5
10
10
50
50
5
5
5
15
5
5
5
20
5

10

0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
1
1
2
2
1
1
0.5
0.5

0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1

0.1
0.1
0.1
0.1
0.2
0.2
0.1
0.1
0.1
0.1
0.1
0.1

0.2
0.2
0.2
0.2
0.2
0.2
0.1
0.1
0.1
0.1
0.2
0.2
0.1
0.1
0.1
0
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0
0.1
0.1

0.1
0.1
0.1

0.5
1
1
1
1
0.5
0.5
0.5
1
1
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5

0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
1
1
0.5


86
87
88
89
90
91
92
93
94

95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124

125
126
127
128
129
130

865
1190
1353
1840
2003
2165
2653
2815
2978
3140
3303
3628
3953
4115
4440
1000
1163
1325
1488
1975
2300
2463
2625

2950
3113
3275
3438
3600
3763
3925
4413
4575
4738
975
1138
1463
2438
2600
2763
2925
4063
4225
4388
4550
4713

3090
3323
3439
3788
3904
4020
4369

4485
4601
4718
4834
5066
5299
5415
5648
2935
3051
3168
3284
3633
3865
3981
4098
4330
4446
4563
4679
4795
4911
5028
5376
5493
5609
2685
2801
3034
3731

3848
3964
4080
4894
5010
5126
5243
5359

1
1
1
5
0.5
0.5
0.5
0.5
0.5
1
1
1
1
3
10
5
3
2
5
5
5

10
10
5
5
5
3
10
3
5
5
3
0.5
0.5
0.5
0.5
5
15
20
15
1
1
5
5
0

35
40
20
10
10

10
10
10
10
10
15
10
15
15
10
10
10
10
15
10
15
10
10
10
10
15
15
10
10
10
10
15
15
10
35

40
45
20
20
20
45
20
45
35
30

100
100
100
50
30
30
30
20
20
10
10
10
10
20
30
50
50
50
50

20
20
200
100
100
100
100
300
300
300
300
200
200
30
10
100
100
100
200
100
50
30
50
50
100
100

500
700
1000

700
300
500
600
300
300
200
300
200
300
300
300
200
300
300
700
500
300
500
300
800
500
300
300
300
800
300
300
300
200

300
700
300
500
600
600
500
200
200
700
500
700

2
1
2
2
3
3
1
2
3
2
1
2
2
1
3
3
3

2
2
2
1
1
3
3
1
2
1
2
2
3
3
1
2
3
2
1
2
2
1
3
3
3
2
2
2

3


5
10
10
3
5
2
3
1
1
8
8
8
8
5
1
6
6
2
2
3
8
10
10
10
5
5
6
3
8

3
5
2
5
8
5
5
6
5
1
6
5
3
10
2
5

10
10
10
10
10
5
10
5
5
5
5
3
5

5
3
3
5
5
5
5
5
5
5
5
5
5
3
3
3
3
3
3
3
5
20
25
30
35
20
2
3
2
5

3
5

5
3
3
3
5
3
5
2
3
1
1
1
2
5
10
10
5
5
10
5
5
10
10
5
2
5
10

10
5
5
5
5
2
5
5
1
10
30
50
10
5
5
10
5
3

5
5
5
5
5
5
5
5
5
5
5

5
5
5
15
15
5
5
5
20
10
5
5
3
3
3
10
20
5
3
3
3
5
5
5
10
5
15
35
10
5

5
5
5
5

1
0.5
0.5
0.5
1
0.5
1
1
1
1
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5
0.5
0.5

0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5

0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1

0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.2
0.3
0.5
0.5
0.5
0.2
0.2
0.2
0.2
0.2
0.2
0.2
0.1
0.2
0.1
0.2
0.1
0.1
0.1
0.1

0.1
0
0.1
0.1
0.1
0.1

0.5
0.5
0.5
0.5
0.5
1
1
2
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
1
2
0.5
0.5
0.5

1
0.5
0.5
1
2
1
1
1
1
0.5
0.5
1
0.5
0.5
0.5
0.5
1
0.5
0.5
0.5
0.5
0.5


131
132
133
134
135
136

137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166

167
168
169
170
171
172
173
174
175

4875
1070
1233
1558
1720
2045
2208
2370
2533
2858
3183
3670
3995
4158
4645
4808
1180
1343
1505
1668

1830
2155
2318
2480
2643
2805
2968
3293
3455
3618
3780
4268
4593
4755
1453
1534
1615
3403
3565
3728
3890
4053
4215
4378
4703

5475
2490
2606
2839

2955
3188
3304
3420
3536
3769
4001
4350
4583
4699
5048
5164
2330
2446
2563
2679
2795
3028
3144
3260
3376
3493
3609
3841
3958
4074
4190
4539
4771
4888

2281
2339
2398
3676
3792
3909
4025
4141
4257
4374
4606

10
0
0
20
50
10
15
0.5
1
0.5
0.5
0.5
1
0.5
0.5
0.5
0.5
3

25
50
5
20
10
0.5
0.5
15
10
15
0.5
0.5
1
0.5
0.5
0.5
5
10
0
0
0
0
0
10
15
5
0.5

20
20

20
30
20
20
20
35
10
20
20
30
15
10
15
10
10
30
35
20
30
30
30
50
50
30
30
50
50
30
50
30

50
30
50
30
30
30
20
20
20
40
45
35
20

100
100
100
50
100
50
100
100
100
100
100
100
100
100
30
100

50
50
100
50
100
200
200
200
200
100
100
100
100
100
100
50
100
100
200
200
300
200
200
300
200
300
300
500
300


800
800
700
600
500
1000
1000
1000
500
1000
500
500
300
300
700
300
300
500
600
1000
1000
1000
500
1500
1500
1200
1000
1500
1500
1000

1000
1200
1000
1500
1000
500
800
1000
1000
500
300
500
700
600
1000

1
1
3
2
0.5
2
1
1
0.5
0.5
1
0.5
5
2

2
2
0.5
3
2
2
2
1
5
5
5
3
2
2
2
5
1
0.5
3
5
5
2
2
1
1
1
2
2
3
2

2

4

5
3
5
5
5
5
10
10
8
20
10
10
3
3
2
2
2
10
5
3
10
5
3
10
5
3

5
5
5
10
10
20
20
5
10
20
20
5
10
10
5
10
10
20
10

5
5
5
5
3
10
20
30
5
50

30
50
3
10
5
3
10
3
2
2
3
3
3
10
5
2
5
5
5
3
3
5
5
5
10
10
10
3
5
5

5
3
3
5
3

10
5
5
50
100
10
20
5
3
5
10
10
3
5
5
3
5
5
50
100
10
30
5
5

5
50
20
20
3
3
5
5
5
5
10
10
5
3
3
5
3
10
30
20
3

5
5
5
20
50
5
10
5

5
5
10
10
10
5
5
5
0
10
20
50
10
30
5
10
10
15
15
15
5
5
10
10
10
5
10
10
5
10

10
10
10
15
20
10
10

0.5
0.5
0.5
0.5
1
1
0.5
0.5
0.5
0.5
1
1
1
0.5
0.5
1
1
1
1
0.5
1
0.5

0.5
0.5
0.5
1
0.5
0.5
0.5
0.5
1
1
1
0.5
1
1
0.5
1
1
1
0.5
0.5
1
1
1

0.1
0.1
0
0
0.1
0.1

0.2
0.2
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0
0.1
0
0
0
0.1
0.1
0.2
0.1
0.1

0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1

0.5
1
0.5
0.5
1
1
1
1
5
1
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1

1
1
0.5
1
1
0.5
1
2
0.5
0.5
0.5
1
1
0.5
1
0.5
0.5
1
1
0.5
0.5
1
1
1
1


176
177
178

179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208

209
210
211
212
213
214
215
216
217
218
219
220

1510
1591
1673
1754
1835
1916
1998
2160
2241
2323
925
1088
1250
1575
1738
1819
1900

1981
2063
2144
2225
2306
2388
2550
2713
2875
3038
3200
3363
3525
3688
3850
4013
4175
4338
4500
4663
1630
1711
1874
1955
2036
2118
2199
2280

2200

2258
2316
2374
2433
2491
2549
2665
2723
2781
1680
1796
1913
2145
2261
2319
2378
2436
2494
2552
2610
2668
2726
2843
2959
3075
3191
3308
3424
3540
3656

3773
3889
4005
4121
4238
4354
2040
2098
2214
2273
2331
2389
2447
2505

0.5
0.5
0
0
0
0
10
1
15
20
5
0.5
0.5
0.5
0.5

0.5
0.5
0.5
5
0.5
0.5
0.5
20
10
5
5
50
20
15
5
3
3
0.5
5
0.5
5
5
5
5
5
0.5
20
10
0
0.5


20
30
30
30
30
30
50
50
30
30
30
30
20
20
20
10
20
35
40
20
10
15
10
20
20
20
30
30
30

30
20
20
30
30
30
45
30
30
20
30
30
20
20
50
50

300
300
200
200
50
100
200
200
200
200
100
200
100

200
100
100
100
100
30
10
10
10
200
100
50
100
100
200
200
300
200
200
200
300
200
100
100
100
100
300
200
200
200

300
300

1000
1000
500
700
800
500
600
1000
1000
1000
500
1000
1000
1500
1500
1000
1000
1500
1500
500
500
500
500
700
800
500
500

500
1000
500
600
700
500
1000
1500
200
1000
800
300
1000
500
500
1000
1500
1000

3
1
2
3
2
1
0.5
1
2
1
1

1
2
5
2
2
1
3
8
5
3
2
2
1
2
2
1
0.5
1
2
2
1
3
1
2
1
2
2
3
3
1

2
3
8
1

5

20
5
20
5
10
5
20
10
20
10
5
10
10
5
10
10
10
5
5
2
1
1
2

3
3
3
5
3
3
5
10
10
3
2
5
3
5
10
10
10
10
10
10
3
10

3
10
10
10
5
5
10

5
5
5
10
20
10
10
10
10
10
10
5
5
5
5
3
3
3
3
3
3
3
3
3
3
2
3
5
3
5

5
3
5
5
2
5
3
3

5
5
2
1
1
5
10
5
30
50
10
5
3
3
2
2
3
5
10
5
3

2
3
5
5
30
100
30
30
10
5
3
5
3
3
5
5
3
1
5
5
50
10
5
10

5
5
10
5
5

10
10
10
10
10
5
10
5
5
10
10
5
5
5
5
5
5
20
10
10
30
50
20
10
10
10
10
5
5
5

5
5
5
5
5
10
10
10
10
10

0.5
0.5
1
1
1
1
1
1
1
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1

1
1
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
1
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
1
1
0.5
1

0.1
0.1
0.1

0
0.1
0
0.1
0
0.1
0
0
0.2
0.2
0.2
0.2
0.2
0.2
0.2
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1

0.1
0.1
0
0
0.1
0.1
0.1
0.1
0.1
0.1
0
0.1

1
1
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5
2
1
1
1
1
1

1
2
1
1
1
1
0.5
0.5
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5



221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250

251
252
253
254
255
256
257
258
259
260
261
262
263
264
265

2361
2443
1045
1208
1370
1533
1695
1858
1939
2020
2101
2183
2264
2345

2426
2508
2670
2833
2995
3158
3239
3320
3401
3483
3645
3808
3970
4133
4295
4945
1760
1841
1923
2004
2085
2166
2248
2329
2410
2491
2573
990
1153
1315

1478

2563
2621
1500
1616
1733
1849
1965
2081
2139
2198
2256
2314
2372
2430
2488
2546
2663
2779
2895
3011
3069
3127
3186
3244
3360
3476
3592
3709

3825
4290
1880
1938
1996
2054
2113
2171
2229
2287
2345
2403
2461
1220
1336
1453
1569

0.5
0.5
0
0
0
5
3
0.5
0.5
0
0.5
20

0
0
0
0
0
0
0.5
0
15
10
5
5
5
5
10
5
0.5
5
3
5
2
0.5
0.5
15
15
25
20
10
5
10

5
5
5

50
50
30
50
50
50
30
50
50
30
30
50
20
20
10
30
30
30
30
30
30
20
20
20
20
20

20
20
20
20
20
20
40
45
20
10
5
5
10
35
20
20
30
30
30

300
300
200
200
200
100
200
100
100
100

100
200
300
200
500
200
200
200
200
200
200
100
100
50
100
100
100
50
50
100
100
50
100
100
50
500
500
500
500
500

500
300
100
100
100

1000
1500
1000
1000
1500
1500
500
1500
1000
500
500
1000
500
300
300
1000
1000
1500
1000
500
1000
500
1000
500

1500
1500
1500
1000
1000
1500
1500
1500
1500
1500
1000
500
500
500
500
300
500
500
1500
1500
1000

2
2
1
3
3
5
2
2

2
1
1
5
2
2
1
2
1
2
2
3
2
0.5
3
1
2
5
8
1
0.5
1
2
8
5
3
2
1
2
2

1
3
1
5
3
8
2

6

10
5
10
5
20
10
10
10
20
5
5
10
5
5
5
10
5
10
3
10

10
5
10
5
5
10
10
10
10
10
5
5
5
3
3
5
3
5
5
10
10
10
10
10
5

3
3
5
5

10
10
10
5
5
10
10
5
5
5
10
10
10
10
10
10
10
10
10
10
20
20
20
20
30
20
10
20
10
20

5
3
2
2
2
3
3
5
5
5
5

5
3
5
3
10
10
10
2
3
1
2
30
2
5
2
5
2
3

2
5
30
20
2
5
10
10
10
10
5
10
10
5
10
5
3
30
20
80
20
20
10
10
2
3
2

10
10

10
5
10
5
5
5
5
5
5
10
10
5
10
10
5
10
10
10
10
15
10
5
5
10
5
10
10
5
5
0

5
5
5
30
10
10
20
50
30
5
0
0
5

1
1
1
0.5
1
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5

1
1
0.5
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
1
1
1
1
1
1
1
1
1
1
0.5
0.5
0.5
0.5
1
1


0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0
0.1
0.1
0.1
0.1
0
0
0.1
0.1
0.1
0.1
0.1
0
0
0.1
0.2
0.2
0.2
0.2
0.2
0.2
0.2

0.2
0.2
0.2
0.2
0.1
0
0.1
0.1
0.1
0.1
0.1
0.1
0
0
0

1
0.5
0.5
0.5
0.5
0.5
1
1
0.5
1
0.5
2
0.5
0.5

0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
1
1
1
1
0.5
1
1
1
0.5

0.5


266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292

293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310

1803
1884
1965
2128
2209
2371
2696
3021
3103
3184
3265

3428
3509
3590
3671
3753
3915
4078
4240
4403
4565
4890
1865
1946
2028
2109
2190
2271
2353
2434
2515
2596
2678
1130
1293
1618
1943
2024
2105
2186
2349

2430
2511
2674
2755

1801
1859
1918
2034
2092
2208
2441
2673
2731
2789
2847
2964
3022
3080
3138
3196
3312
3429
3545
3661
3777
4010
1710
1768
1826

1884
1943
2001
2059
2117
2175
2233
2291
1050
1166
1399
1631
1689
1748
1806
1922
1980
2038
2154
2213

5
5
5
1
5
5
1
15
5

5
15
20
5
0.5
0.5
0.5
15
1
0.5
0.5
0
5
0
0
0.5
0
0.5
0
0
0.5
1
50
15
10
30
15
10
10
5

0.5
0.5
0.5
0.5
0.5
0.5

20
30
20
30
30
30
30
30
30
30
20
30
30
30
30
30
20
10
30
30
30
10
20

20
20
30
30
20
20
20
30
30
30
30
30
30
20
50
30
50
30
20
30
20
20

100
100
200
100
200
100
200

100
50
100
50
100
100
100
100
200
100
30
200
200
200
300
200
300
300
200
200
300
200
300
200
300
300
200
200
100
200

100
50
100
100
200
200
200
100

1000
1000
500
1500
1000
1000
1500
500
1500
1500
500
1500
1000
1000
1500
300
1500
500
1500
1500
1500

500
1000
1000
500
1500
1500
1000
500
1000
1500
1500
1500
1000
1500
1500
1500
1500
1500
1500
300
1500
1500
1000
1500

1
2
2
3
3

1
2
2
1
3
1
2
1
2
2
3
3
1
2
8
5
1
2
2
1
3
3
3
2
2
2
1
1
2
1

2
2
1
3
8
5
2
2
2
1

7

5
10
10
10
20
20
20
10
20
5
10
10
20
10
20
20
3

3
20
20
20
5
20
10
20
10
10
5
5
30
10
30
20
20
10
20
10
30
20
20
20
20
20
10
20

3

10
10
10
10
30
10
10
5
5
2
3
10
5
5
5
10
10
5
5
5
3
5
3
3
5
5
3
2
10
10

10
10
10
10
10
5
10
10
10
10
10
15
30
25

1
2
2
2
1
1
3
20
10
10
20
50
10
5
3

5
20
5
2
3
10
5
3
5
10
10
5
5
3
2
1
100
50
30
50
30
30
30
20
5
5
5
3
3
2


5
10
10
10
10
10
10
15
5
5
5
5
5
5
5
5
10
10
10
10
10
30
10
30
5
10
10
10
10

10
10
35
25
15
10
10
10
10
5
5
10
5
5
5
5

0.5
1
1
1
1
1
1
1
1
0.5
1
1
1

1
1
1
0.5
1
1
0.5
1
0.5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0.5

0.5
0.5

0.1
0
0
0
0.1
0
0
0
0.1
0
0
0.1
0.1
0
0.1
0
0.2
0.1
0.1
0.1
0.1
0.2
0.1
0.1
0.1
0.1
0.1

0.1
0.1
0
0
0
0.1
0
0.1
0.1
0.1
0.1
0.1
0.1
0
0.2
0.1
0.1
0.2

0.5
0.5
0.5
1
0.5
0.5
0.5
0.5
1
1
0.5

2
1
0.5
0.5
0.5
2
2
0.5
1
1
2
0.5
0.5
0.5
2
3
1
1
1
0.5
0.5
1
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5

1
1
1
1


311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334

335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355

2918
3080
3243
3405
3568
3730
3893
4055

4218
4380
4543
1975
2056
2219
2300
2544
2625
2706
2788
1220
1383
1545
1708
2033
2195
2276
2358
2439
2520
2601
2683
2764
3008
3170
3333
3658
3820
4145

4308
4470
4633
1500
1825
1988
2313

2329
2445
2561
2678
2794
2910
3026
3143
3259
3375
3491
1545
1603
1719
1778
1952
2010
2068
2126
890
1006
1123

1239
1471
1588
1646
1704
1762
1820
1878
1936
1994
2169
2285
2401
2634
2750
2982
3099
3215
3331
845
1078
1194
1426

0.5
0.5
1
0.5
0.5
1

1
3
3
2
1
1
0.5
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0
0.5
0.5
5
15
10
5
15
20
0
0
0
0.5
0

0.5
0.5
0.5
0.5
10
15
10
3
5

20
20
20
20
20
20
20
20
20
30
20
30
10
30
30
20
20
30
30
30

30
30
30
30
30
30
20
30
30
30
30
30
30
30
30
30
30
30
30
30
30
30
20
30
30

50
30
10
50

20
20
30
200
100
50
100
200
100
200
200
200
300
200
100
200
200
200
300
300
200
100
200
200
300
300
300
300
300
300

300
200
200
200
200
200
200
200
200
100
100

500
1000
1000
500
500
500
300
500
500
500
300
1000
300
500
500
500
500
1500

500
1000
1500
1000
1000
1000
500
1000
500
1000
1000
500
1000
1000
1000
300
1000
1000
1000
1000
1000
1000
1500
1500
1000
1500
1500

1
3

3
1
2
1
2
2
3
3
1
2
3
2
1
2
2
1
3
3
3
2
2
2
1
1
3
2
0.5
2
3
1

2
0.5
1
2
1
2
2
1
3
3
3
5
2

8

3
2
3
2
1
1
8
2
3
3
10
20
10
20

20
10
10
10
20
20
10
20
10
10
20
20
20
20
20
30
30
30
30
30
30
20
20
20
20
20
20
20
10
30

20

5
5
5
5
5
2
2
3
5
5
10
10
2
5
3
3
5
5
5
5
10
5
5
5
10
10
5
5

5
5
5
5
3
3
5
5
10
10
10
5
10
5
5
3
10

1
2
3
3
1
2
1
5
10
5
5
5

5
3
2
1
1
3
3
5
3
2
3
5
10
10
20
30
20
50
50
5
10
10
5
3
3
3
5
20
20
20

20
10
20

5
5
5
5
5
10
5
20
20
10
10
5
5
5
5
5
5
5
0
5
5
5
5
5
5
5

10
10
10
10
20
5
10
10
5
10
10
5
10
15
15
15
5
5
10

1
1
1
1
1
0.5
0.5
0.5
0.5
1

1
1
1
1
1
1
1
1
1
0.5
0.5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
2
1
1
1

0.1
0.2
0.2
0.1
0.1
0.1
0.1
0
0.1
0.1
0.1
0.1
0.3
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0

0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0
0.1
0.1

2
2
2
1
2
1
1
1

1
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5
1
0.5
0.5
0.5
0.5
0.5
0.5
1
1
0.5
1
0.5
1
0.5
0.5
1
0.5
0.5

0.5
0.5
0.5
0.5
0.5
0.5
0.5


356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376

377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400

2475
2800
2963
3125
3288

3450
3613
3775
3938
4100
1440
1603
1765
1928
2090
2253
2415
2578
2740
2903
3065
3228
3390
3553
3715
3878
4040
4203
4365
4528
4690
4853
1760
2223
2385

2548
2873
3035
3360
3523
4823
1983
2145
2308
2470

1543
1775
1891
2008
2124
2240
2356
2473
2589
2705
555
671
788
904
1020
1136
1253
1369
1485

1601
1718
1834
1950
2066
2183
2299
2415
2531
2648
2764
2880
2996
540
866
983
1099
1331
1448
1680
1796
2726
496
613
729
845

2
15
0.5

25
10
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
1
1
1
1
0.5
0.5
0.5
0.5
0.5
10
0.5
0
0.5
25
0.5

15
5
0.5
5
5
0.5
0.5
0
0.5
0.5
0
5

30
30
30
30
20
20
20
20
20
20
20
30
20
30
20
20
20

20
20
20
20
30
30
30
30
30
30
30
30
20
30
30
20
20
20
20
20
30
30
20
20
20
20
20
20

30

100
300
300
100
100
200
200
100
100
50
100
50
50
30
10
20
10
10
10
30
100
100
100
50
100
100
100
50
50
50

100
30
100
50
100
100
200
100
100
100
200
200
200
100

1000
1500
1000
1000
1000
1000
1500
1500
1500
1500
1500
1500
1500
1500
1500

500
300
300
500
500
500
1000
500
1000
1000
1500
1500
1000
500
300
500
500
500
1000
500
1000
1000
1000
500
500
300
500
1000
500
500


2
1
1
3
3
1
2
8
5
2
3
3
1
2
3
2
1
2
2
1
3
3
3
2
2
2
1
1
3

2
0.5
2
1
1
1
0.5
1
2
0.5
3
2
2
2
1
5

9

10
20
20
30
10
10
20
20
20
10
10

20
20
10
10
2
2
2
2
2
1
5
5
3
5
5
5
5
3
7
2
3
2
2
6
2
2
10
10
3
5

5
5
5
5

50
10
10
10
10
10
10
20
20
20
20
30
20
30
10
10
5
5
5
5
3
5
5
2
5

5
3
25
35
30
35
2
2
2
5
2
2
5
10
3
3
5
5
5
5

5
10
5
50
20
5
3
2
1

5
10
10
10
10
5
5
3
3
3
2
3
10
5
10
10
3
5
20
10
5
5
50
5
30
10
5
10
10
5

1
1
2
3
5
10

10
10
10
20
10
5
5
10
10
10
5
10
10
5
5
5
5
10
10
5
5
5
5

0
5
5
0
15
10
0
5
30
5
20
10
0
5
10
5
5
10
5
5
5
5

1
1
1
1
1
1
2

1
1
1
1
1
1
1
1
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
1
0.5
1
0.5
1
1
1
1

0.5
1
1
1
0.5
0.5
0.5
0.5

0.2
0.1
0
0.1
0.5
0.5
0.5
0.3
0.2
0.2
0.1
0.1
0.1
0.2
0.1
0.1
0.1
0.1
0
0
0

0
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0
0
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0
0
0
0
0.1
0.1
0.1

5
0.5
0.5
0.5
0.5

1
1
1
1
1
1
0.5
0.5
1
0.5
1
1
1
1
1
2
1
0.5
1
1
1
1
0.5
1
1
0.5
1
0.5
1
1

1
1
1
0.5
1
0.5
0.5
2
1
1


401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418

419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445

2633
2958

3120
3283
3445
3608
3770
3933
4095
4258
4420
4745
2275
2600
2763
2925
3088
3250
3413
3575
3738
3900
4063
4225
4388
4550
4713
4875
2883
3370
3533
3858

4020
4183
4345
4670
4833
2840
3003
3328
3490
3653
3815
3978
4140

961
1194
1310
1426
1543
1659
1775
1891
2008
2124
2240
2473
430
663
779
895

1011
1128
1244
1360
1476
1593
1709
1825
1941
2058
2174
2290
616
965
1081
1314
1430
1546
1663
1895
2011
335
451
684
800
916
1033
1149
1265


10
15
25
50
25
5
0.5
0.5
0
0
0.5
0.5
0.5
20
0
0
0.5
0.5
0
0
0.5
0.5
0
1
1
0.5
1
1
2
1

1
0
15
0.5
0.5
0
0.5
0.5
0.5
20
15
30
5
25
0

20
20
20
20
20
20
20
20
20
20
20
20
20
20

10
10
10
20
20
10
20
20
20
20
20
20
20
20
20
20
30
30
30
30
30
30
30
20
20
30
20
20
20
20

20

200
200
100
200
200
200
200
200
100
100
200
100
100
100
30
30
30
30
30
30
20
30
100
10
20
20
20
10

50
20
100
100
100
100
200
200
100
50
100
100
100
100
100
100
100

500
500
500
500
500
300
500
300
500
500
500
500

500
500
500
300
300
200
300
200
300
300
500
1000
1000
500
500
500
500
500
1000
1500
1000
500
1000
1000
1000
1000
1000
1500
1000
1000

1000
1000
500

1
1
1
2
2
2
5
1
0.5
3
1
5
2
2
1
0.5
1
2
2
3
2
0.5
3
1
2
3

0.5
1
0.5
1
2
1
1
1
2
2
2
2
1
3
1
5
3
2
2

10

10
10
5
10
5
5
5
10

5
5
5
5
5
5
3
2
1
3
2
6
2
3
20
2
2
6
2
2
1
1
3
3
5
5
5
10
5
12

2
5
2
12
12
3
3

10
5
2
3
2
3
3
3
3
2
3
3
3
2
3
5
5
5
5
5
5
5

20
10
10
10
10
10
5
5
5
10
5
5
5
5
5
2
2
2
15
25
25
5
5

20
30
50
100
50
10

5
5
5
5
5
5
3
30
3
2
3
5
3
3
5
5
5
5
5
3
5
10
5
5
10
3
30
1
2
5

5
3
2
30
30
80
10
50
2

10
10
20
30
20
10
10
10
5
5
5
5
5
10
0
0
0
0
0
0

0
0
10
5
5
5
5
5
5
10
5
5
10
5
5
10
5
0
0
15
15
35
5
20
5

0.5
0.5
0.5
1

0.5
0.5
0.5
0.5
1
0.5
0.5
1
0.5
1
1
0.5
0.5
1
0.5
1
0.5
0.5
2
1
1
1
1
1
0.5
2
1
0.5
1
1

1
1
1
1
1
1
1
0.5
0.5
0.5
0.5

0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0
0
0
0
0.1
0.1
0.1
0.1

0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.2
0.1
0.2
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1

1
1

1
2
2
0.5
1
1
1
1
0.5
0.5
0.5
0.5
1
1
1
1
1
1
1
0.5
1
3
2
1
1
1
3
1
1
1

1
1
1
1
1
0.5
1
1
0.5
1
2
1
1


446
447
448
449
450
451
452
453
454
455
456
457
458
459
460

461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490


4465
4628
4790
4953
3135
3298
3460
3623
3785
3948
4273
4435
4598
4760
3235
3560
3723
3885
4048
4210
4373
4535
4860
3685
3848
4173
4498
4660
4823

4985
4295
4458
4620
4945
4155
4236
4724
4886
4823
4985
1820
1983
2145
2308
2470

1498
1614
1730
1846
293
409
525
641
758
874
1106
1223
1339

1455
120
353
469
585
701
818
934
1050
1283
180
296
529
761
878
994
1110
348
464
580
813
30
88
437
553
2726
2843
380
496
613

729
845

0.5
0.5
0
0
0
15
0
0
0
0
15
0
1
0.5
0.5
10
0.5
15
10
0.5
20
5
5
1
20
10
5

1
1
1
0.5
0.5
1
1
1
2
2
2
3
10
10
15
5
5
3

20
30
20
20
30
10
20
20
20
20
20

20
20
15
20
20
10
20
20
5
20
10
10
35
15
10
20
10
10
20
20
20
15
20
15
20
20
15
15
35
10

20
15
15
30

100
200
200
200
300
100
200
200
100
300
300
300
300
200
200
300
20
200
300
20
100
10
150
150
150

10
10
150
150
20
10
10
150
150
10
20
50
100
200
200
200
300
200
200
100

1000
1000
300
500
500
300
300
200
300

500
500
300
300
500
300
1000
500
1000
500
500
1000
300
600
700
500
600
700
500
500
600
700
700
1000
1000
500
700
500
300
1000

800
300
800
800
700
700

1
2
2
1
0.5
1
2
2
1
3
1
2
1
2
2
3
3
1
2
3
2
3
3

1
2
1
2
2
3
3
1
2
3
2
1
2
2
1
3
3
3
2
2
2
1

11

5
5
5
5
10

5
10
10
10
10
10
15
20
10
10
10
12
5
15
8
5
1
1
2
1
1
2
1
2
2
2
2
2
3
2

5
3
3
5
10
5
10
10
5
5

3
2
3
2
5
2
2
2
2
2
5
10
10
5
5
5
5
2
5

25
3
5
10
10
25
10
10
5
5
10
25
10
15
10
30
10
5
15
5
10
25
5
5
3
20

2
5
3

10
5
30
3
20
20
10
30
5
5
3
5
20
5
20
10
5
50
2
1
3
2
3
5
2
3
3
2
3
2

3
3
5
2
2
5
30
10
20
2
2
5

5
5
5
5
10
15
10
10
10
20
10
10
10
10
10
10
5

10
10
5
20
5
5
5
15
5
5
5
5
3
3
3
3
3
3
5
5
5
20
20
5
20
5
5
5

0.5

0.5
0.5
1
1
1
1
1
0.5
1
1
1
1
1
1
1
1
1
1
1
1
1
0.5
1
0.5
1
1
1
1
1
1

1
1
0.5
1
1
1
0.5
0.5
1
0.5
1
0.5
0.5
0.5

0.1
0.1
0
0.1
0
0
0
0.1
0.1
0.1
0.1
0
0
0
0

0.1
0.1
0
0
0.1
0
0.1
0.1
0.2
0.1
0.2
0.2
0.2
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1


2
2
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5
2
0.5
1
0.5
0.5
1
0.5
0.5
0.5
1

0.5
0.5
1
1
1
0.5
1
1
1
1
0.5
0.5
0.5
0.5
0.5
0.5


491
492
493
494
495
496
497
498
499
500
501
502

503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518

2633
2958
3120
3283
3445
3608
3770
3933
4095
4258
4420
4583
4745

2275
2438
2600
3575
3738
3900
4063
4225
4388
4550
4713
4875
2720
2883
3045

Giá trị hàm
lượng
Trị số Clark

961
1194
1310
1426
1543
1659
1775
1891
2008
2124

2240
2356
2473
430
546
663
1360
1476
1593
1709
1825
1941
2058
2174
2290
500
616
733

5
15
15
3
1
5
5
1
1
5
2

2
2
1
1
1
2
10
10
5
0.5
5
5
5
5
0.5
5
5

35
30
20
30
30
30
30
30
30
50
50
50

30
50
50
40
30
30
30
30
20
20
30
10
20
20
10
20

50
100
100
100
100
100
100
100
100
100
100
50
50

100
100
100
200
200
200
200
200
100
200
200
100
50
100
100

500
300
200
800
1000
700
1000
1000
700
1000
1000
1000
500
1000

1000
500
1000
1000
1000
500
300
1000
1500
1000
1000
1000
1500
1500

1
3
2
0.5
2
0.5
1
2
0.5
1
2
5
2
2
2

0.5
5
1
1
1
5
1
5
3
1
5
5
3

1
2
2
3
3
2
2
1
1
1
1
2
2
5
10
10

5
10
5
10
2
5
10
5
10
5
12
15

3
2
3
2
2
3
5
10
10
10
5
2
2
5
10
10
10

10
10
10
10
5
5
10
5
10
5
5

2
10
10
5
3
3
2
5
3
5
3
3
10
5
3
3
5
10

10
10
3
3
2
1
10
10
5
10

5
5
5
5
5
5
5
5
10
5
0
5
5
5
5
5
5
10
15

10
10
5
5
5
5
10
5
5

0.5
1
1
1
0.5
0.5
0.5
1
1
1
0.5
0.5
0.5
0.5
1
1
0.5
1
1
1

1
0.5
1
0.5
1
1
0.5
1

0.2
0
0
0.1
0.1
0.1
0.1
0.1
0
0.1
0.1
0.1
0.1
0.1
0.1
0
0.1
0.1
0.1
0.1
0

0.1
0.1
0.3
0.1
0.1
0.1
0.2

1
0.5
0.5
0.5
0.5
0.5
0.5
0.5
0.5
1
0.5
0.5
1
0.5
0.5
0.5
0.5
1
0.5
0.5
0.5
0.5

0.5
1
0.5
1
1
0.5

Pb
Ti
0.001 0.001

V
0.001

Mn
0.001

Co
0.001

Ni
0.001

Cr
Cu
Zn
0.001 0.002 0.01

Ga
0.001


Be
0.001

Zr
0.0002

0.001

0.15

0.9

0.003

0.005

0.01

0.001

0.00015

0.00015

0.02

0.01

0.05


Bảng: giá trị hàm lượng và trị số Clark các nguyên tố

YÊU CẦU:
1. Bằng phương pháp xử lý thông tin logic hãy xác định các nguyên tố có giá trị tin
cao ứng với P=0.8
2. Tính hệ số tương quan cặp giữa các nguyên tố (rxy).
3. Xác định các nguyên tố chỉ thị cho việc tìm kiếm Cu.

12


4. Tính đặc trưng thống kê của nguyên tố địa hóa Cu, Pb, Zn trên theo phương
pháp phân khoảng:
5. Vẽ sơ đồ đồng hàm lượng các nguyên tố Cu, Pb, Zn theo bậc hàm lượng:
X;

X +σ;

X + 2σ ;

X + 3σ

6. Khoanh định diện tích triển vọng tìm kiếm Pb.
7. Tô mầu theo các bậc hàm lượng đã vẽ.
Cho biết: Trị số Clark (%) của các nguyên tố như sau
Co = 0,003; Cu = 0,01; Pb =0,001; Zn = 0,05Ga = 0,001; Ni = 0,005; Cr = 0,01;
Be = 0,00015; V = 0.15; Mn = 0.9; Ti = 0,02; Zr = 0,00015

BÀI LÀM

1. Bằng phương pháp xử lý thông tin logic hãy xác định các nguyên
tố có giá trị tin cao tương ứng với P =0,8
* Từ ma trận tài liệu gốc

(Bảng 1) và dựa vào trị số Clark chuyển ma trận tài liệu gốc về

dạng ma trận “0 – 1”. Kết quả xác định ma trận “0 - 1” được thể hiện ở bảng dưới đây:
Bảng 1: Ma trận 0-1
Pb
1
1
0
1
0
0
0
0
0
0
0
0
1
1

Ti
1
1
1
1
1

1
1
1
1
1
1
1
1
1

V
1
1
0
1
0
1
1
1
1
0
1
1
1
1

Mn
0
1
0

1
1
1
1
1
1
1
1
1
1
1

Co
0
0
1
1
0
0
1
0
0
1
1
1
1
1

Ni
1

1
1
1
1
1
1
1
1
1
1
1
1
1

Cr
0
0
0
0
0
0
0
0
0
0
0
0
0
1


13

Cu
1
1
0
1
1
1
1
1
1
1
1
0
1
1

Zn
1
1
0
0
0
0
1
1
1
1
1

1
1
1

Ga
0
0
0
0
0
0
0
0
0
0
0
0
0
0

Be
0
1
1
1
1
1
1
1
1

1
1
1
1
1

Zr
0
1
1
1
1
1
1
0
1
1
1
0
1
1


1
1
1
0
0
0
0

0
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

0
0
0
0
0
0
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0

0
1
1
1
1
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0

1
1
1
1
1

1
1
1
1
1
1
1
1
0
1
0
1
1
1
0
1
0
1
0
0
1
1
0
0
0
0
0
1
1
0

0
0
0
1
1
0
0
0
1
0

1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
0
1
0
1

0
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

1
0
0

0
0
1
1
0
0
0
0
1
1
1
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
0
0
0
0

0
1
0
0
1
0
0
1
0
0
0
0

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1

1
1
1
1
1
0
0
0
0
0
1
1
0
0
1
1
1
0
0
0
0
0
1
1
0
0
0
0

0

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0

0
0
1
0
0
0
0
0
0
0
0
0
1
0
14

1
1
1
1
1
1
1
0
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
0
0
0
1
0
0
0
0
0
0
1
1
1
0
0

0

1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1

1
0
0
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

0
0
0

1
0
1
1
1
1
0
1
1
1
1
1
1
0
0
1
0
0
1
0
1
0
0
0
0
0

0
0
0
0
1
1
0
0
0
0
0
0
1
1
1
1
1
1
0

1
0
0
1
0
1
0
0
0
0

0
0
0
1
1
0
1
0
1
0
1
0
0
0
1
1
0
1
1
1
1
0
0
0
1
1
1
0
0
0

0
0
0
0
0


1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
1
1
1
1
1
1
1
1

1
1
1
1
1
1
1
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1

0
0
0
0
0
1
1

1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0

0
0
0
0
0
0
0
0

1
1
1
1
1
0
0
0
0
0
0
1
1
1
1
1
0
1
1
1
0

0
0
0
0
0
0
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
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
1
0
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
0
1
1
0
0
0
0
0
0

0
0
0
0
0
1
0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
1
1
0
0

0
0
0

0
0
1
0
0
1
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
1
1
0
1
0
0

0
0
1
1
1
1
1
0
1
1
0
0

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

0
0
0
0
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
0
0
0
0
0
0
0
0
0
15


0
0
1
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0

1
0
1
0
0
0
0
0
0
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1

1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
1
0

0
0
1
0
1
1
1
1
1
0
0
0
0
0
0
0
0

0
0
0
1
1
0
0
0
0
0
0
0

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
0
0
0
0
0
0
0
1
1
1
0

0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
0
1
0
1


1
1
1
1
1
1
1
1
1

1
1
1
1
0
0
0
0
1
1
1
1
1
1
1
1
0
1
0
0
1
1
1
1
0
1
0
0
0
1

0
0
0
0
1
1

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
0
0
0
0
0
1
1

0
0
1
0
0
0
0

1
1
1
1
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

0
0
0
0
0
0
0
0

0
0
0
0
0
0
0
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
1
1
0
1
0
0
0
0
0
0
0
0
0

0
0
0
1
1

0
0
0
0
0
1
1
0
0
1
0
0
0
0
0
1
1
1
0
0
0
0
0
1
0
0
0
0
0
0

0
0
0
1
0
0
0
0
1
0

0
1
1
1
1
1
1
1
0
1
0
1
0
1
1
1
1
1
1

0
1
1
0
1
0
1
1
0
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
1
1

0
0
0

0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
1
1

1
0
1
1
1
0
1
0
0
1
0
0
16

1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1

0
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
1
1
0
1
1
1


1
1
1
1
0
0
0
1
1
1
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
0
1
1

0
1
0
0
0
0
0
0
0
0
0
0
0
0

0
0
1
0
0
0
0
0
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0
0

0
0
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
0
0
0
1
1
1
1
1
1
0
0
0
1
0
0
0
0
0

0
1

0
0
0
0
0
0
1
1
0
1
0
1
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1

1
1
1
1
1
0
0
1
0
1
1
1
1


1
1
1
0
0
0
0
0
1
0
0
0
1
0
1

1
0
1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0


1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
0
0
0
1
1

0
0
0
0
0
0
0
0
0
0
0
0
0

0
0
0
0
0
1
0
0
0
1
1
1
0
1
1
0
1
1
1
1
1
0
0
1
0
0
0
0
0
0

0
0

0
0
1
0
1
1
1
1
1
0
0
0
0
0
1
0
1
1
1
0
0
0
0
1
0
0
0

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

0
1
1
1
0
0
0
0
0
1
0

0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
0
0
0
1
0
0
1
0
1
0
0
0

0
0
0
0

0
0
1
1
0
1
1
1
1
0
1
0
0
0
0
1
0
0
1
1
0
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0

0
0
0
0
0
0
0
0
1

1
1
1
0
0
0
0
0
0
0
1
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0

0
0
0
0
0
0
22

0
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0

0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
0
0
0
1
0

1
1
1
1
0
1

1
0
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
1
1
1
0
0
0
0
0

0
0
0
0
0
0
0
0
0
1
1
0
1
0
1
1
1
1
0
1

1
1
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
1
0
1
1
0
0
1
0

0
0
0
0

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
1
1
0
1
1
1
1
0
1
1
0
1
0
1
1
1
1

1
0
1
0
0
1
1
1
1
1
1
1
1
0
1
1
1
1
0
0
0
0
1
1
1
1
1


0

0
0
0
1
1
0
1
1
1
1
1
0
1
0
0
0
0
0
0
1
1
1
1
1
0
0
0
0
0
0

1
0
0
0
0
1
0
1
0
0
1
0
1
1

0
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
1
1
1
1
1
0
1
1
0
1
1


0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
0
0
0
0
1
1

1
1
0
1
1
0
1
1
1
1
1
1
1
0
1
1

0
0
0
0
1
1
0
0
0
0
0
1
1

1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0

1
0

1
0
0
1
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
1
1
0
0
0

0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
1
0
0

1
0
0
1
0
0
1
0
0
0
0

0
0
1
1
1
1
1
1
0
1
0
1
1
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
1
1
1

0
0
0
1
1
1
1
1
1
0
0
0
1
0
0
0
0
0
0
0
0
1
1
1
0

0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
0
0
23

0
1
1
1
1
1
0
1

1
1
1
1
0
1
0
0
1
1
0
0
1
1
1
1
1
0
0
1
0
1
1
1
0
1
1
1
1
1

1
0
1
1
1
1
1

0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
0
0
1
1
1

1
1
1
0
1
1
0
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
1
1
1
1
1
0
1

1
1
1
1
1
1
1
1
1

0
0
0
0
0
0
0
0
1
0
1
0
0
0
0
0
0
0
0
0

0
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
1
0
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
1
1
1
0
0
0
0
0
0

1
0
0
0
0
0
0
0
1
0
0


0
1
1
1
1
1
1
1
1
1
1
0
0
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

0

1
0
0
1
0
0
1
0
0
1
1
1
0
1
0
1
1
0
0
1
0
1
0
0
1
1
1
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1

0
0
0
1
1
1
0
0
1
1
0
0
0
1
1

0
0
0
0
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1


0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0

0
1
0
1
1
0
1
1
1
0
1
1
0
1
1
1

1
0
1
1
0
0
0
0
0
1
1
0
0

1
0
0
0
0
0
1
1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1

0
0

1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
1
1
1
1
0

0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1

1
0
0
1
1
1
1
1
0
0
1

1
1
1
1
1
1
0
1
0
1
1
0
0
0
1
0
0
0
0
0
0
0
1
1
1
0
0
0
0
1

1
1
1
1
24

1
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
1
1
1
0

0
1
0
1
1
1
0
0
0
1
0
1
0
0
1
1
0
0
1
1
1

1
1
1
1
1
1
1
1

1
1
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1

1
1
1
1
1
1
1

1
1
1
0
1
0
1
1
1
1
1
1
1
1
0
1
1
1
0
0
1
0

1
0
0
0
0
1
1
1
0
0
0
1
1
1
0
0
0
0
1
1
0
1
1

0
0
0
0
1
0

1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0

0
0
0
0
0
0
0
0
0

1
0
1
0
0
1
0
0
0
1
0
0
1
1
1
0
1
1
1
1

0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0


1
0
1

1
1
1
0
1
1

1
1
1
1
0
1
1
0
1

1
1
0
1
1
0
0
0
0

0
0
1

1
1
1
1
1
1

0
1
0
1
1
0
1
1
1

1
0
1
1
1
1
1
1
1

1
1
0

0
1
0
1
0
0

1
0
0
0
0
1
1
1
1

1
1
1
1
1
1
1
1
1

1
1
0

1
0
1
1
0
1

0
0
0
0
1
0
0
0
1

0
0
0
0
1
0
1
1
0

* Sau đó thực hiện thuật toán đếm và tính tổng ta xác định được ma trận tần suất
xuất hiện nij như sau:


Bảng 2: Ma trận tần suất xuất hiện
Pb
Ti
V
Mn
Co
Ni
Cr
Cu
Zn
Ga
Be
Zr

Pb
301
234
123
124
81
197
102
224
286
152
55
122

Ti
234

421
193
227
118
321
148
295
397
239
67
185

V
123
193
229
118
64
191
65
161
221
136
43
90

Mn
124
227
118

99
48
131
172
117
163
110
41
70

Co
81
118
64
48
147
111
48
108
135
77
35
76

Ni
197
321
191
131
111

365
131
261
348
210
74
148

Cr
102
148
65
172
48
131
172
117
163
110
41
70

Cu
224
295
161
117
108
261
117

346
328
193
70
155

* Xác định giá trị thông tin của các tính chất theo công thức :

25

Zn
286
397
221
163
135
348
163
328
481
260
85
205

Ga
152
239
136
110
77

210
110
193
260
277
41
107

Be
55
67
43
41
35
74
41
70
85
41
96
52

Zr
122
185
90
70
76
148
70

155
205
107
52
229


×