Credit Scoring

Published on June 2016 | Categories: Documents | Downloads: 55 | Comments: 0 | Views: 334
of 70
Download PDF   Embed   Report

Comments

Content

Credit

balance_credit_acc
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
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0

1
1
2
1
1
1
1
1
4
2
1
1
1
2
1
1
1
2
2
4
1
2
2
2
1
2
1
2
4
3
3
4
4
4
1
1
4
4
4
4
4
1
4
2
2
1

duration moral
18
9
12
12
12
10
8
6
18
24
11
30
6
48
18
6
11
18
36
11
6
12
36
12
6
11
12
9
15
42
30
36
36
24
15
6
12
12
18
24
12
24
18
24
18
18

verw
4
4
2
4
4
4
4
4
4
2
4
4
4
3
2
2
4
2
4
4
4
4
2
4
4
3
2
4
2
4
4
4
4
2
2
4
4
4
2
4
4
2
4
4
2
2

2
0
9
0
0
0
0
0
3
3
0
1
3
10
3
3
0
3
3
0
0
0
5
4
0
3
2
3
0
1
3
0
0
3
0
0
0
3
1
1
5
10
0
9
6
0

hoehe
sparkont beszeit
1049
1
2
2799
1
3
841
2
4
2122
1
3
2171
1
3
2241
1
2
3398
1
4
1361
1
2
1098
1
1
3758
3
1
3905
1
3
6187
2
4
1957
1
4
7582
2
1
1936
5
4
2647
3
3
3939
1
3
3213
3
2
2337
1
5
7228
1
3
3676
1
3
3124
1
2
2384
1
2
1424
1
4
4716
5
2
4771
1
4
652
1
5
1154
1
5
3556
5
3
4796
1
5
3017
1
5
3535
1
4
6614
1
5
1376
3
4
1721
1
2
860
1
5
1495
1
5
1934
1
5
3378
5
3
3868
1
5
996
5
4
1755
1
5
1028
1
3
2825
5
4
1239
5
3
1216
1
2

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

4
4
4
1
4
3
4
4
4
1
4
1
4
4
4
4
4
4
1
4
4
4
2
4
2
4
4
4
3
2
4
4
1
4
4
4
2
3
4
1
4
4
1
2
2
2
2

24
18
24
24
12
36
9
12
24
12
12
15
21
36
12
24
48
36
12
6
12
24
12
24
21
30
36
24
12
9
21
24
21
15
24
36
18
15
15
12
24
36
6
24
12
30
30

2
4
2
4
2
2
4
4
2
4
4
2
2
2
4
2
4
3
3
4
2
2
2
3
4
2
2
2
2
2
4
4
4
2
4
4
2
4
4
2
4
3
4
3
4
2
0

9
6
0
9
0
3
0
3
1
3
3
3
3
0
0
1
3
0
0
3
3
3
3
0
2
3
3
2
3
2
1
0
0
3
0
3
0
1
2
0
1
3
0
0
0
3
9

1258
1864
1474
1382
640
3919
1224
2331
6313
385
1655
1053
3160
3079
1163
2679
3578
10875
1344
1237
3077
2284
1567
2032
2745
1867
2299
929
3399
2030
3275
1940
1602
1979
2022
3342
5866
2360
1520
3651
2346
4454
666
1965
1995
2991
4221

1
2
2
2
1
1
1
5
5
1
1
1
5
5
3
1
5
1
1
2
1
1
1
1
4
5
3
5
5
5
1
4
1
5
1
5
2
3
5
4
1
1
4
5
2
5
1

4
3
2
4
3
3
3
5
5
4
5
2
5
3
3
2
5
5
3
3
3
4
3
5
4
5
5
4
5
4
5
5
5
5
3
5
3
3
5
3
4
3
4
3
2
5
3

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

1
2
4
2
2
1
2
4
1
2
2
4
4
4
4
4
4
1
1
2
4
2
2
2
4
4
4
2
4
2
4
4
4
4
4
4
4
3
4
3
4
4
4
2
1
2
3

9
18
27
12
36
9
42
24
15
24
36
24
24
12
18
24
12
15
6
12
12
21
18
9
24
9
24
36
36
6
15
15
24
15
6
18
24
24
18
6
18
10
6
12
24
6
24

2
4
4
4
3
2
4
4
2
3
3
4
2
4
2
2
4
2
2
4
2
2
2
4
2
4
2
2
4
2
4
2
4
2
2
2
4
2
2
2
2
2
2
2
1
4
4

3
2
2
3
9
2
9
2
9
9
0
3
0
9
3
3
6
0
2
0
2
2
0
2
1
6
2
3
1
3
3
3
3
4
2
0
3
2
2
2
3
0
2
0
0
8
3

1364
6361
4526
3573
4455
2136
5954
3777
806
4712
7432
1851
1393
1412
1473
1533
2012
3959
428
2366
763
3976
6260
1919
2603
936
3062
4795
5842
2063
1459
1213
5103
874
2978
1820
2872
1925
2515
2116
1453
1364
1543
1318
2325
932
3148

1
1
4
1
1
1
1
4
1
5
1
1
1
1
1
1
5
1
1
3
1
5
1
1
4
3
3
1
1
1
1
3
1
5
3
1
2
1
1
1
1
1
4
4
2
5
5

4
5
2
3
3
3
4
3
3
3
3
4
3
3
2
2
4
3
5
4
3
4
4
4
3
5
5
2
5
2
3
5
2
2
3
3
5
3
3
3
2
3
3
5
4
4
3

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

4
4
2
4
4
4
1
1
4
2
3
4
4
2
2
4
1
4
2
2
4
3
4
4
3
4
4
4
4
4
3
1
3
4
4
4
4
2
4
4
4
4
1
4
4
4
4

36
9
24
9
36
21
24
12
12
24
12
12
48
24
12
24
12
30
48
12
12
24
24
15
15
9
30
24
15
6
36
12
12
24
12
24
24
12
18
48
9
18
30
30
9
36
12

2
2
2
4
2
2
2
2
2
4
1
2
4
2
2
4
2
4
1
4
4
4
2
4
2
4
4
4
4
4
2
2
2
2
2
2
4
4
2
3
2
4
0
4
2
2
2

3
6
3
2
3
1
1
2
9
3
3
3
1
0
3
3
3
3
9
2
3
9
2
2
6
0
3
9
2
3
3
0
3
3
3
3
9
1
9
3
4
0
9
3
9
9
0

3835
3832
5084
2406
2394
2476
2964
1262
1542
1743
409
2171
8858
3512
1158
2684
1498
5954
6416
3617
1291
1275
3972
3343
392
2134
5771
4526
2788
1382
5848
1228
1297
1552
1963
3235
4139
1804
1950
12749
1236
1055
8072
2831
1449
5742
2390

5
5
5
1
5
5
5
5
1
1
4
1
5
2
3
1
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
1
1
1
1
3
2
2
1
3
1
1
5
1
1
2
5

5
5
5
1
3
5
5
5
4
5
3
2
4
4
3
3
3
4
5
5
3
3
4
3
2
3
4
3
4
3
3
3
3
4
4
5
3
2
4
4
2
2
2
3
4
4
5

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

4
2
3
4
2
2
4
4
4
4
4
4
4
4
4
3
1
1
2
1
2
2
4
3
1
1
3
2
3
4
3
1
4
1
3
4
4
1
4
1
4
4
2
4
4
4
1

24
36
21
24
36
48
24
12
33
6
18
12
48
30
28
18
24
21
18
12
15
48
9
4
24
24
6
9
10
10
6
47
10
18
30
24
27
18
24
18
14
21
48
24
6
39
30

2
2
2
2
2
2
2
2
4
4
4
2
1
2
1
1
2
2
2
2
2
1
2
2
1
1
4
2
2
2
2
2
2
1
4
3
3
2
4
2
3
2
1
2
0
2
2

3
6
0
3
6
0
0
3
1
0
2
3
9
3
1
3
2
0
9
3
3
0
3
0
2
2
0
0
0
1
0
0
0
3
3
1
1
2
3
0
0
9
9
3
3
1
1

3430
2273
2923
1901
3711
8487
2255
1262
7253
6761
1817
2141
3609
2333
7824
1445
7721
3763
4439
1107
1444
12169
2753
1494
2828
2483
1299
1549
3949
2901
709
10722
1287
1940
3656
4679
8613
2659
1516
4380
802
1572
3566
1278
426
8588
3857

3
1
2
2
5
5
5
1
1
1
1
2
1
3
5
5
5
5
1
1
5
5
2
5
3
3
1
5
1
5
4
1
5
1
5
1
4
4
4
2
1
4
2
1
1
2
1

5
4
3
3
3
4
2
3
4
4
3
4
3
5
2
4
2
4
5
3
2
1
5
2
3
3
3
2
2
2
2
2
5
2
5
4
3
3
3
3
3
5
4
5
5
5
3

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

2
1
4
1
4
4
4
4
4
4
4
4
4
4
2
4
2
2
4
4
4
3
1
4
1
4
4
4
3
4
4
4
2
4
4
4
4
4
4
4
4
4
4
2
1
3
3

12
24
21
24
4
39
15
60
18
18
6
24
18
24
15
21
18
18
12
36
36
15
15
10
10
5
15
11
10
9
12
22
9
36
12
15
6
36
6
24
24
12
15
21
24
9
6

2
2
2
2
2
2
4
2
2
4
1
2
4
3
2
2
3
3
2
2
4
2
3
4
2
2
2
4
2
2
2
2
2
2
4
1
2
3
2
2
2
1
2
4
2
2
3

0
3
2
3
2
1
3
0
9
3
3
1
3
2
5
1
0
5
3
3
1
9
2
2
3
9
2
0
2
2
3
3
3
0
2
3
1
2
5
2
1
8
3
9
3
3
3

685
1603
2241
2384
601
2569
1316
10366
1568
629
1750
3488
1800
4151
2631
5248
2899
6204
804
3595
5711
2687
3643
2146
2315
3448
2708
1393
1275
1313
1493
2675
2118
909
1258
1569
1236
7678
660
2835
2670
3447
3568
3652
3660
1126
683

1
1
1
1
1
3
3
1
2
3
3
2
1
2
2
5
5
1
1
1
4
1
1
1
1
1
1
1
1
1
1
3
1
3
1
2
3
3
3
3
1
3
1
1
1
2
1

4
5
5
5
2
3
3
5
3
5
5
4
3
3
3
3
5
3
5
5
5
4
5
2
5
4
2
2
2
5
2
5
3
5
2
5
3
4
4
5
5
3
5
4
3
5
2

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

3
4
2
1
4
1
4
4
4
4
4
4
2
4
4
4
4
2
4
1
3
3
4
3
4
1
4
1
4
4
4
4
2
1
4
4
3
4
4
4
4
4
1
4
4
4
3

12
12
21
21
6
6
9
9
15
12
15
6
6
15
36
9
6
12
18
12
24
24
9
9
24
6
6
21
54
12
48
6
24
6
15
24
12
15
6
10
12
11
10
10
24
10
6

2
2
3
2
2
4
2
2
3
4
2
4
3
3
2
2
3
2
3
1
2
2
4
2
2
2
1
2
0
4
4
4
2
2
2
1
2
4
0
2
2
2
4
2
4
2
4

2
1
0
3
0
3
3
0
3
6
2
3
9
2
1
2
9
2
3
8
3
2
3
3
0
2
0
3
1
3
1
0
0
0
1
9
3
3
0
0
3
9
2
0
0
0
0

2251
4675
2353
3357
672
338
2697
2507
1478
3565
2221
1898
1449
960
8133
2301
1743
983
2320
339
5152
3749
3074
745
1469
1374
783
2606
9436
930
2751
250
1201
662
1300
1559
3016
1360
1204
1597
2073
2142
2132
1546
1287
1418
1343

1
5
1
4
1
3
1
3
1
5
3
5
2
4
1
2
2
4
1
1
1
1
5
1
2
1
5
1
5
5
5
4
1
1
5
1
1
1
2
3
2
4
5
1
4
2
1

3
2
3
2
1
5
3
5
3
2
3
3
5
4
3
2
3
2
1
5
4
2
3
3
5
3
3
2
3
5
5
3
2
2
5
4
3
3
3
3
3
5
2
3
5
3
5

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

4
4
4
4
4
4
4
1
1
1
4
4
4
1
4
4
4
4
4
3
1
4
4
4
4
1
4
4
1
4
3
4
4
1
4
4
4
4
3
2
1
1
1
4
2
1
4

18
18
24
18
6
22
24
24
9
10
10
12
30
24
18
9
12
10
10
10
12
12
10
24
48
12
6
36
24
10
18
15
12
12
6
9
12
12
24
12
15
24
24
24
24
6
21

2
4
4
4
4
2
3
2
4
4
2
2
4
1
4
2
4
2
2
4
4
4
4
2
4
4
2
4
2
4
2
4
4
2
4
2
2
0
2
0
2
2
2
4
4
2
3

0
3
6
3
3
0
0
2
5
0
1
1
3
1
1
0
0
3
6
0
0
6
2
0
9
0
3
1
1
0
0
0
0
2
2
2
3
2
3
8
0
2
9
3
1
4
2

2662
6070
1927
2404
1554
1283
717
1747
1288
1038
2848
1413
3077
3632
3229
3577
682
1924
727
781
2121
701
2069
1525
7629
3499
1346
10477
2924
1231
1961
5045
1255
1858
1221
1388
2279
2759
1258
1410
1403
3021
6568
2578
7758
343
1591

5
1
5
1
1
5
5
1
2
1
2
4
5
1
5
2
2
1
3
1
1
1
5
4
5
1
2
5
1
1
1
5
1
1
5
1
5
1
3
1
1
1
1
4
4
1
2

4
5
3
3
4
4
5
2
5
4
3
4
5
3
1
3
4
3
5
5
3
3
3
4
5
3
5
5
3
5
5
5
5
2
3
3
3
5
3
3
3
3
3
5
5
2
4

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

1
1
2
2
4
1
1
4
2
4
2
2
4
3
1
4
3
3
4
4
2
2
4
4
2
2
2
1
4
4
2
4
2
2
4
4
4
4
4
4
4
4
4
4
1
4
2

27
12
27
15
30
18
21
60
9
42
9
9
24
10
24
15
12
6
15
24
9
24
12
12
12
27
12
6
24
18
48
15
9
18
42
13
24
12
24
12
28
11
24
18
15
12
11

2
0
3
2
4
2
2
4
2
4
2
2
2
2
2
2
4
4
4
2
2
3
2
3
2
2
2
2
2
2
2
2
2
2
2
2
3
4
3
4
4
4
4
4
4
2
4

3
5
1
5
3
2
2
0
0
2
3
2
0
4
1
1
0
6
3
2
3
3
3
1
0
9
9
1
3
3
10
1
9
9
3
3
9
3
9
3
3
3
1
3
2
3
0

3416
1108
5965
1514
6742
3650
3599
13756
276
4041
458
918
7393
1225
2812
3029
1480
1047
1471
5511
1206
6403
707
1503
6078
2528
1037
1352
3181
4594
5381
4657
1391
1913
7166
1409
2978
976
2375
522
2743
1154
5804
1169
1478
776
1322

1
1
1
2
5
1
1
5
1
3
1
1
1
1
5
1
3
1
1
2
1
1
1
1
1
1
2
3
1
1
5
1
1
4
5
2
5
5
3
3
1
2
4
5
1
1
4

3
4
5
3
4
2
4
5
3
3
3
3
3
3
5
4
1
3
3
3
5
2
3
3
4
2
4
1
2
2
1
3
3
2
4
1
3
5
3
5
5
1
3
3
5
3
3

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

2
4
4
4
2
2
1
2
4
4
2
2
4
4
4
4
1
2
4
4
1
4
4
4
4
4
4
2
2
1
2
2
1
2
2
2
2
4
2
2
4
1
2
3
2
4
2

16
12
15
12
39
9
12
9
30
12
15
18
12
7
15
6
27
18
21
27
39
15
12
12
6
12
36
9
12
20
10
24
14
60
20
18
24
12
20
18
15
28
12
12
12
15
36

4
2
4
4
3
4
2
2
4
3
4
4
4
3
4
3
4
4
4
3
4
2
4
2
4
2
2
2
2
2
2
4
2
3
3
2
3
2
2
4
2
2
2
2
2
2
2

0
0
3
3
6
6
6
0
3
5
9
9
9
3
6
3
9
9
2
9
2
3
3
2
3
3
1
3
3
2
0
6
0
3
10
9
2
1
1
2
1
0
0
2
1
0
3

1175
2133
1829
717
11760
1501
1200
3195
4530
1555
2326
1887
1264
846
1532
935
2442
3590
2288
5117
14179
1386
618
1574
700
886
4686
790
766
2212
7308
5743
3973
7418
2629
1941
2333
2445
6468
7374
3812
4006
7472
1424
2028
5324
2323

1
5
1
1
2
1
5
5
1
4
3
5
5
5
2
1
1
1
1
1
5
5
1
1
5
5
1
3
3
5
1
1
1
5
1
4
5
5
5
1
2
1
5
5
5
3
1

1
5
5
5
4
5
3
3
4
5
3
3
5
5
3
3
5
1
2
4
4
3
5
3
5
3
3
3
3
4
1
2
1
3
3
3
2
2
1
1
2
3
1
5
3
5
4

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

4
4
4
4
4
3
4
4
4
4
2
4
2
4
4
4
4
4
2
4
4
4
4
1
4
1
4
4
4
4
1
4
4
4
4
4
4
4
4
4
1
4
4
2
2
4
2

12
18
24
36
15
36
24
18
24
12
18
27
18
24
12
12
12
18
18
12
12
18
12
18
24
12
24
6
24
12
12
24
24
6
24
24
6
12
24
24
6
6
6
24
30
15
24

2
2
2
2
2
2
2
2
2
4
2
2
2
3
4
4
4
4
4
2
2
2
4
0
4
4
2
2
4
4
2
2
4
2
4
2
4
4
4
4
2
4
2
4
2
2
2

6
2
3
9
2
3
8
2
3
6
5
5
2
9
2
2
9
2
2
9
0
3
2
9
3
1
3
3
1
0
3
0
0
3
5
1
3
3
1
2
0
0
6
0
2
0
3

1393
1984
999
7409
2186
4473
937
3422
3105
2748
3872
5190
3001
3863
5801
1592
1185
3780
3612
1076
3527
2051
3331
3104
2611
1409
1311
2108
4042
926
1680
1249
2463
1595
2058
7814
1740
1240
6842
5150
1203
2080
1538
3878
3832
3186
2896

1
1
5
5
5
1
1
1
5
1
1
5
1
1
5
4
1
1
1
1
5
1
1
1
1
1
2
1
5
1
3
1
2
1
1
1
1
5
5
1
2
3
1
2
1
4
2

5
3
5
5
4
5
2
5
2
5
1
5
4
3
5
4
3
2
5
3
2
2
5
4
5
5
4
4
4
1
5
2
4
4
3
4
5
5
3
5
5
3
2
2
2
4
2

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

2
4
4
4
4
4
4
4
2
4
1
2
4
4
4
4
3
1
1
2
4
4
4
2
2
2
2
2
4
2
2
3
2
4
2
4
4
4
2
4
2
3
4
2
4
4
2

24
36
24
36
36
36
6
18
12
36
12
12
18
18
4
24
12
18
18
24
4
4
7
18
9
48
12
18
4
8
30
10
12
12
12
12
12
10
11
33
48
12
24
14
20
18
60

3
2
2
4
2
2
2
2
4
4
2
2
2
4
4
4
2
4
2
2
4
4
4
0
2
2
2
4
4
2
2
4
2
4
2
4
2
2
2
3
0
2
2
2
4
4
2

9
6
3
2
2
2
3
3
1
3
3
3
3
3
3
1
3
3
3
3
0
0
3
2
3
3
2
2
3
9
3
3
0
2
0
6
0
8
2
9
0
2
1
9
0
1
0

6967
1819
5943
7127
3349
10974
518
1126
1860
9566
701
2930
1505
2238
1503
2197
1881
1880
2389
1967
3380
1455
730
3244
1670
3979
1922
1295
1544
907
1715
1347
1007
1402
2002
2096
1101
894
1577
2764
8358
1474
5433
1410
3485
3850
7408

2
1
5
1
1
1
1
5
1
1
1
1
1
1
1
5
1
1
1
1
1
1
5
1
1
5
1
1
1
1
5
5
4
3
1
1
1
5
4
1
3
1
5
3
5
1
2

4
3
2
2
3
1
3
2
1
3
3
4
3
3
4
4
3
4
2
5
4
4
5
3
2
4
3
2
4
2
3
4
3
4
4
4
3
4
2
3
2
2
1
5
2
4
2

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

3
4
2
2
4
4
4
3
4
2
2
2
2
1
1
1
1
1
1
4
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
4
1
1
1
1
2
1
1
2

24
30
24
36
6
12
48
12
36
26
30
36
48
36
12
33
42
24
24
24
12
12
24
18
36
18
12
12
8
36
24
30
36
12
21
30
36
36
24
6
12
36
15
6
6
48
24

2
3
3
3
4
4
2
2
2
2
1
2
0
2
2
4
2
1
2
2
2
2
2
4
2
2
2
2
4
4
1
0
4
2
4
2
2
2
4
2
2
2
4
3
4
2
2

3
9
3
9
0
2
3
0
6
1
2
1
9
2
6
2
3
3
2
3
4
2
1
0
2
3
2
2
10
2
0
2
2
2
0
3
2
1
2
0
2
2
2
2
0
1
2

1377
4272
1553
9857
362
1935
10222
1330
9055
7966
3496
6948
12204
3446
684
4281
7174
1546
2359
3621
741
7865
2910
5302
3620
3509
3017
1657
1164
6229
1193
4583
5371
708
571
2522
5179
8229
2028
1374
1289
2712
975
1050
609
4788
3069

2
2
2
2
2
1
5
1
5
1
4
1
5
1
1
3
5
1
2
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
5
1
1
1
1
1
1
2

5
3
4
4
3
5
4
2
3
2
3
3
3
5
3
3
4
4
1
5
1
5
4
5
3
4
2
3
5
2
1
3
3
3
5
5
4
3
4
1
3
5
3
1
4
4
5

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

2
1
1
1
1
1
1
1
1
2
4
4
1
1
1
1
4
4
4
1
1
1
1
1
1
1
1
1
1
1
1
3
1
1
4
1
4
4
2
2
2
2
2
4
2
2
2

12
12
12
15
24
12
30
18
30
12
24
24
12
12
24
6
12
18
6
12
15
42
24
36
36
24
12
13
20
24
36
42
24
48
24
36
24
48
30
18
24
6
12
24
48
18
24

2
2
2
2
2
2
4
2
2
4
2
4
4
2
4
4
2
4
2
2
4
2
2
2
2
2
4
4
4
4
4
0
4
4
4
2
4
3
3
2
2
2
2
4
3
3
4

0
2
2
2
1
0
1
0
2
0
1
10
1
2
1
2
0
3
8
2
2
2
2
2
0
2
2
9
2
1
2
9
1
1
6
10
3
3
9
9
2
3
8
3
9
9
3

836
2577
1620
1845
6579
1893
10623
2249
3108
958
9277
6314
1526
3590
6615
1872
2859
1582
1238
2578
1433
7882
4169
3959
3249
3149
2246
1797
4272
2957
2348
6289
6419
6143
1597
15857
2223
7238
2503
2622
4351
368
754
2424
6681
2427
1216

2
1
1
1
1
1
1
2
1
1
5
1
1
1
1
1
5
4
5
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
5
2
2
5
5
5
5
5
5
2

2
3
3
2
1
3
5
4
2
4
3
1
5
3
1
1
1
5
1
1
3
4
3
1
4
2
5
2
5
5
3
2
5
5
5
1
5
5
5
3
3
5
5
5
3
5
2

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

2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
3
1
2
2
2
2
2
2
2
1
4
2
2
3
1
4
1
2
4
4
4
3
4
2
1
1
2
1
1

6
7
6
8
12
12
6
8
12
7
13
18
7
13
18
18
8
12
6
9
18
15
6
10
12
20
15
12
24
10
36
18
24
60
12
6
15
12
60
12
24
45
24
36
36
18
30

2
2
2
2
2
3
2
4
2
2
4
2
2
2
2
2
2
2
4
4
4
4
2
1
2
3
4
2
4
2
1
2
2
2
2
2
3
2
3
3
2
4
4
2
4
3
2

3
3
3
3
3
3
3
0
3
3
3
3
3
3
3
3
3
3
0
3
3
3
3
3
3
1
3
3
2
2
4
2
3
3
0
5
1
2
3
0
3
1
3
1
1
6
2

753
2576
590
1414
1103
585
1068
713
1092
2329
882
866
2415
2101
1301
1113
760
625
1323
1138
1795
2728
484
1048
1155
7057
1537
2214
1585
1521
3990
3049
1282
10144
1168
454
3594
1768
15653
2247
1413
4576
1231
8335
5800
8471
3622

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
5
1
1
1
5
5
1
1
1
5
1
2
2
1
1
1
1
1
1
1
2
4
5
1
5
4

3
3
2
3
4
3
5
5
3
2
2
3
3
2
5
3
4
2
5
3
5
4
4
3
5
4
5
3
4
3
2
2
3
4
3
2
2
3
4
3
3
1
5
5
3
3
5

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

1
4
3
2
1
4
4
1
4
4
4
4
1
4
2
2
2
3
4
4
1
2
4
4
4
2
2
4
4
1
1
4
2
4
2
2
4
4
1
4
4
4
2
4
2
3
2

6
15
24
30
48
48
24
42
36
9
6
36
48
24
18
72
48
15
21
36
24
18
21
12
36
60
42
60
15
15
36
6
9
18
15
20
12
12
24
30
30
6
24
24
9
24
36

4
2
4
4
1
4
2
4
4
4
2
0
2
2
2
2
3
2
3
3
2
2
2
2
4
3
1
2
4
2
2
2
2
4
2
0
2
2
2
4
2
2
2
4
2
2
3

3
4
2
0
9
6
0
5
9
6
0
5
6
9
2
3
6
6
1
1
2
1
0
0
1
3
1
0
1
0
1
4
3
3
5
1
2
3
2
1
1
2
1
5
6
2
0

1169
1262
3617
2181
7685
6110
3757
3394
6304
1244
3518
2613
7476
4591
1924
5595
6224
1905
2993
8947
4020
2779
2782
1884
11054
9157
9283
6527
3368
2511
5493
1338
1082
1149
1308
6148
1736
3059
2996
7596
4811
1766
2760
5507
1199
2892
2862

5
3
5
5
1
1
1
1
5
5
1
1
1
4
5
2
1
1
1
5
1
1
3
1
5
5
1
5
4
1
1
3
1
4
1
2
1
4
5
5
5
1
5
1
1
1
2

5
4
5
5
4
3
5
1
5
5
3
3
4
3
2
3
5
5
3
4
3
3
4
5
3
3
1
3
5
1
5
3
5
3
5
5
4
4
3
5
4
3
5
5
4
5
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

1
2
2
2
1
1
1
2
2
2
1
4
2
4
4
2
4
2
1
1
1
1
1
1
1
2
1
2
4
2
1
2
2
1
4
2
2
2
2
2
3
1
1
3
2
3
3

9
9
24
6
15
24
12
30
36
48
18
21
60
24
9
39
18
9
15
24
9
18
36
36
36
18
6
18
15
30
24
36
6
12
24
6
15
24
24
15
15
24
12
30
36
18
21

2
4
2
2
0
4
0
2
4
2
2
0
2
3
2
4
4
1
2
2
2
2
2
3
2
3
4
4
2
4
3
2
1
1
2
1
3
0
4
0
2
1
2
3
0
2
4

0
6
1
0
0
0
0
0
0
3
3
0
6
0
3
3
0
0
4
3
0
4
0
9
0
2
2
3
6
2
3
0
6
3
3
0
5
9
2
0
3
2
6
9
9
2
6

654
1136
4113
14555
950
1199
1082
2150
2820
3060
2600
5003
6288
2538
1478
4933
1530
1437
1275
1823
1422
1217
9271
2145
1842
4297
3384
1245
4623
8386
1024
14318
433
2149
2397
931
1512
4241
4736
1778
2327
6872
795
1908
1953
2864
2319

1
4
3
5
1
1
1
1
1
1
1
5
1
1
1
1
1
2
5
1
1
1
1
1
1
1
1
1
2
1
1
1
4
1
3
2
4
1
1
1
1
1
1
1
1
1
1

3
5
2
1
5
5
3
3
2
4
3
3
3
5
4
4
3
4
3
1
2
3
4
4
2
5
3
3
3
4
2
5
2
3
5
2
3
3
2
2
2
2
2
5
5
3
2

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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
3
1
1
1
2
1
1
2
1
1
1
2
1
4
1
2
4
3
1
2
4
2
1
1
1
1
2
2
1
2
2
2
4
4
3
4
2
4
2
4
4
1
2
4
2
2

24
24
24
24
24
18
12
24
18
60
24
6
48
60
18
18
9
18
10
12
8
9
48
36
24
21
24
6
48
12
12
48
36
36
36
36
6
24
18
24
18
12
36
18
12
24
24

2
2
2
2
2
2
2
2
0
3
2
1
2
2
2
2
1
3
2
2
2
2
2
3
2
2
3
3
0
4
2
2
0
3
3
2
2
2
0
2
1
2
2
4
2
2
4

0
0
0
0
0
0
0
0
0
9
2
6
9
9
5
3
1
2
0
0
2
2
3
6
3
3
3
0
9
0
5
3
3
3
9
3
2
1
9
2
0
0
6
2
2
10
10

915
947
1381
1285
1371
1042
900
1207
2278
6836
3345
1198
15672
7297
1943
3190
5129
1808
1240
759
1237
1980
10961
6887
1938
1835
1659
1209
3844
4843
639
5951
3804
4463
7980
4210
4611
11560
4165
4057
6458
1386
1977
1928
1123
11328
11938

5
1
5
5
5
5
5
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
4
1
1
1
1
1
2
1
1
1
1
1
5
1
1
1
1
1
1
3
5
1
3
1
1

5
4
3
4
3
3
3
2
2
5
5
5
3
5
2
3
5
4
5
4
3
2
4
3
2
3
2
1
4
5
3
3
3
3
2
3
2
3
3
4
5
3
5
2
3
3
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

2
2
2
2
2
2
1
2
3
4
1
1
1
1
1
4
1
2
4
1
3
2
2
2
2
1
4
4
4
2
2
2
1
1
1
1
3
1
2
2
2
1
1
1
2
2
1

27
30
60
36
36
45
12
24
24
18
48
24
36
42
12
48
48
12
18
40
15
12
36
12
24
48
36
18
36
24
30
30
48
9
24
18
9
48
15
15
48
24
36
24
36
60
36

4
3
1
2
2
2
1
4
4
2
2
1
2
2
2
2
2
2
4
4
4
2
2
2
2
2
4
2
3
1
4
4
2
2
1
2
0
2
1
2
2
2
4
2
2
2
4

3
3
10
3
6
3
3
9
0
2
0
2
3
3
3
9
9
3
0
6
3
0
1
2
0
4
0
3
9
6
0
0
3
3
10
2
3
0
0
0
0
0
6
3
2
0
1

2520
1919
14782
2671
12612
3031
626
1935
1344
1533
3931
3349
2302
3965
727
3914
4308
1534
2775
5998
1271
1295
9398
951
1355
3051
7855
433
9572
1837
4249
5234
6758
1366
1358
2473
1337
7763
1264
2631
6560
3123
8065
2439
9034
14027
9629

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

3
2
5
3
3
3
3
5
4
2
4
2
3
2
2
3
2
2
4
3
3
2
2
2
2
3
3
1
2
4
1
1
3
2
5
1
2
5
3
3
4
2
3
2
2
4
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

2
1
2
2
4
4
2
4
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
2
2
2

12
18
24
18
21
27
27
10
24
12
36
18
18
18
18
30
24
48
24
12
42
36
24
18
12
12
48
48
24
12
24
27
21
18
24
12
48
48
18
12
12
12
16
20
9
18
24

2
2
3
2
3
2
2
2
2
2
3
2
0
4
1
2
3
0
3
4
3
1
0
2
2
0
0
4
1
1
2
0
3
2
1
2
2
0
4
2
2
2
4
4
2
4
2

3
2
2
1
9
0
9
0
0
0
0
2
2
2
2
2
0
2
0
0
3
2
2
2
2
2
1
1
2
0
0
9
6
2
9
8
1
9
0
0
0
0
0
0
2
0
0

1484
1131
2064
12976
2580
2570
3915
1309
4817
2579
2225
4153
3114
2124
1553
2406
1333
7119
4870
691
4370
2746
4110
2462
1282
2969
4605
6331
3552
697
1442
5293
3414
2039
3161
902
10297
14421
1056
1274
1223
1372
2625
2235
959
884
1246

5
1
1
1
3
1
1
5
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

3
1
1
1
2
3
3
3
4
2
5
3
2
3
3
4
1
3
3
5
4
5
5
3
3
2
5
5
4
2
4
1
2
3
3
4
4
3
5
2
5
4
5
3
3
5
2

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

2
4
2
4
2
1
2
4
4
1
4
2
3
2
4
3
1
2
2
2
2
4
2
2
1
2
2
4
1
1
1
4
2
3
1
1
1
2
1
2
1
2
4
2
1
1
4

36
48
12
12
36
12
15
10
30
18
12
45
12
21
48
12
18
21
30
30
24
18
12
54
24
15
48
24
18
45
21
48
27
18
45
6
30
48
6
12
12
24
18
48
18
48
12

3
4
2
2
2
2
1
2
1
1
4
4
4
2
4
1
4
2
2
0
2
2
2
0
2
2
2
3
2
2
1
2
0
2
0
2
2
0
2
2
2
2
3
4
2
2
4

0
0
0
6
0
3
0
2
1
0
3
3
0
9
1
9
5
9
2
9
3
0
3
9
2
3
2
9
3
3
0
9
9
3
9
6
5
10
0
2
1
3
9
2
3
3
9

8086
10127
888
719
12389
709
6850
2210
7485
1442
797
4746
939
1188
11590
609
1190
2767
3441
4280
3092
6761
1331
15945
3234
802
9960
8648
1345
1845
1647
4844
8318
2100
11816
448
11998
18424
14896
2762
3386
2039
2169
5096
1882
6999
2292

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

5
3
5
5
3
5
1
3
1
4
5
2
4
5
3
2
1
5
3
3
2
3
2
2
2
5
2
2
3
3
3
1
5
3
5
2
2
3
5
5
5
2
3
3
3
4
1

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

1
1
1
2
1
2
1
1
1
1
1
4
2
1

14
12
18
24
18
24
18
18
12
24
24
21
12
30

2
2
2
2
2
2
2
4
0
2
2
4
2
2

0
3
0
0
6
1
1
0
3
3
0
0
3
2

8978
674
976
2718
750
12579
7511
3966
6199
1987
2303
12680
6468
6350

1
2
1
1
1
1
5
1
1
1
1
5
5
5

5
4
2
3
1
5
5
5
3
3
5
5
1
5

rate

famges
4
2
2
3
4
1
1
2
4
1
2
1
1
2
2
2
1
1
4
1
1
1
4
4
1
2
4
2
3
4
4
4
4
4
2
1
4
2
2
4
4
4
4
4
4
4

buerge
2
3
2
3
3
3
3
3
2
2
3
4
2
3
4
3
3
4
3
3
3
3
3
3
3
3
2
3
3
3
3
3
3
2
3
2
3
3
3
2
2
2
2
3
3
2

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
3
1
1
1
1

wohnzeit verm
4
2
4
2
4
3
4
4
4
4
2
4
4
4
4
3
2
3
4
4
3
3
1
3
3
4
4
4
2
4
4
4
4
1
3
4
1
2
1
2
4
4
3
3
4
3

alter
2
1
1
1
2
1
1
1
3
4
1
3
3
4
3
1
1
1
1
2
1
1
4
2
1
2
2
1
4
4
2
3
3
3
1
4
1
4
2
3
1
1
1
4
4
3

weitkred
21
36
23
39
38
48
39
40
65
23
36
24
31
31
23
44
40
25
36
39
37
49
33
26
44
51
24
37
29
56
47
37
34
28
36
39
38
26
31
41
23
58
36
34
61
23

wohn
3
3
3
3
1
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
1
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3

bishkred
1
1
1
1
2
1
2
2
2
1
1
1
2
2
1
1
2
1
2
2
1
2
1
2
2
2
1
2
2
3
2
2
2
2
2
2
2
2
2
1
2
2
2
2
3
1

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

4
4
4
4
4
2
3
1
3
4
2
4
4
4
4
4
4
2
4
1
2
4
1
4
3
4
4
4
2
2
1
4
4
4
4
4
2
2
4
1
4
4
3
4
4
2
2

3
2
4
3
1
3
3
3
3
2
3
4
3
3
3
2
3
3
3
2
3
3
2
3
3
3
3
3
3
3
3
3
4
3
2
3
3
3
3
3
3
2
2
2
3
2
2

1
1
1
1
1
1
1
2
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
2
3
1
2
2
1
4
4
3
4
2
3
4
4
1
1
2
2
1
4
2
1
4
2
4
4
2
3
1
4
4
3
2
4
2
2
2
4
3
3
4
4
4
1
4
1

1
1
1
1
1
1
1
1
3
1
1
1
2
1
1
4
1
3
1
2
3
3
3
4
3
3
3
3
3
3
3
1
3
3
3
3
3
3
2
2
3
1
1
3
3
3
3

25
30
33
26
49
23
30
49
41
58
63
27
41
36
44
29
47
45
43
27
52
28
22
60
32
58
39
31
37
24
36
60
30
35
37
51
30
36
63
31
35
34
39
42
27
25
28

3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3

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

1
2
1
2
1
1
2
1
1
4
2
1
1
1
1
1
1
2
2
2
1
1
1
2
2
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
2
2
2
1
1
2

3
2
4
1
2
3
2
4
4
4
2
4
2
4
3
4
4
3
2
3
4
2
3
4
2
4
4
4
2
4
4
4
3
4
1
2
3
2
3
2
3
2
4
4
2
1
3

3
3
3
2
1
3
2
3
2
3
2
4
3
2
4
2
2
2
2
1
2
3
3
3
2
3
3
2
3
4
2
3
4
2
3
4
3
3
3
3
2
2
1
3
3
2
3

1
1
1
1
1
1
1
1
1
1
1
3
3
3
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

4
1
2
1
2
2
1
4
4
2
2
2
2
2
4
3
2
2
1
3
1
3
3
3
4
2
3
1
2
3
2
3
3
1
2
2
4
2
4
2
1
4
2
4
3
3
2

1
4
1
1
1
1
1
1
2
2
2
3
1
1
1
3
3
2
2
3
1
3
1
3
3
3
4
4
2
3
3
2
4
1
3
2
1
1
1
1
1
3
1
1
3
2
3

59
41
32
23
30
25
41
40
22
34
54
33
31
29
39
38
61
29
49
36
26
35
28
35
28
52
32
30
35
30
43
47
47
24
32
30
36
26
43
41
26
64
33
54
32
39
31

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

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

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

2
1
2
2
4
4
4
2
2
4
3
2
2
2
3
4
4
3
4
1
4
2
2
4
4
4
4
3
2
1
4
4
3
3
4
3
3
3
4
4
1
4
2
4
3
2
4

2
3
2
3
2
3
3
1
3
3
2
2
3
3
1
3
2
3
2
3
2
1
2
3
2
3
2
3
2
2
3
2
4
3
3
1
3
3
3
3
2
2
3
2
2
3
3

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

4
4
4
3
4
4
4
4
4
2
3
2
1
3
1
2
1
2
3
4
2
4
4
2
4
4
2
2
3
1
1
2
4
1
2
2
3
4
1
1
4
1
3
2
2
2
3

1
1
3
3
3
1
4
2
3
2
1
3
4
3
3
1
3
3
4
3
2
1
2
4
2
3
3
1
3
3
3
1
1
3
3
3
2
2
3
3
1
2
3
3
3
3
3

45
64
42
31
25
46
49
49
36
48
42
29
35
38
26
35
23
38
59
28
35
36
25
28
23
48
25
74
24
28
24
24
23
32
31
36
27
44
34
37
23
30
25
33
27
31
50

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

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

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

3
3
1
4
2
1
4
3
3
1
4
3
1
4
3
4
1
2
1
2
4
4
3
1
4
4
1
4
1
1
2
1
4
3
4
3
2
4
4
3
4
4
4
4
4
4
4

3
3
2
3
4
2
3
3
3
3
2
3
2
3
3
3
2
3
3
3
3
3
3
3
3
3
3
3
3
2
4
2
3
3
3
3
3
3
2
3
3
2
3
3
4
3
1

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

2
1
1
4
2
2
1
2
2
3
2
1
1
2
4
4
2
2
1
2
1
4
4
2
4
4
1
2
1
4
2
1
2
4
4
3
2
2
1
4
2
4
2
1
4
2
4

3
3
3
3
3
3
2
3
3
4
4
4
1
3
1
3
2
1
1
1
2
4
3
1
1
1
1
1
2
1
1
1
2
4
2
3
3
3
1
3
3
1
3
1
3
3
2

31
32
28
29
27
24
54
25
35
45
28
35
27
30
40
49
30
24
33
20
23
36
35
29
22
22
74
35
37
31
27
35
45
36
49
35
27
28
43
35
27
36
30
36
39
45
40

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

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

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

2
4
4
4
1
4
2
2
3
4
2
3
4
2
3
1
4
2
4
4
4
2
1
1
3
1
2
4
4
1
4
3
2
4
2
4
2
2
2
3
4
4
4
2
2
2
2

4
2
3
3
2
3
4
3
2
3
3
2
3
3
2
3
3
3
3
3
3
3
2
2
3
3
3
2
2
3
2
3
3
3
2
3
3
2
4
3
3
2
2
3
2
1
2

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

3
4
2
4
3
4
2
4
4
3
4
4
2
3
2
3
4
4
4
2
2
4
4
3
4
4
3
4
2
4
3
4
2
4
4
4
4
4
4
4
4
3
2
3
4
4
1

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

25
55
50
64
23
24
47
42
24
32
45
23
24
35
25
26
43
44
38
28
38
26
27
23
52
74
27
35
23
20
34
40
37
36
22
34
50
40
23
53
35
35
54
27
28
49
29

1
3
3
1
3
3
3
3
3
1
1
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
1
3
3
3
3
3
3
3
3
1
3
3
3
3
3
3
1
3
3
3
1

2
2
2
1
1
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
1
2
1
2
2
2
2
2
2
2
2
2
2
1
2
1
2
1
2
2
2
1
2
2
2
2

1
1
2
1
1
1
2
1
1
2
1
1
2
2
1
1
1
1
1
1
2
1
2
2
1
1
2
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
2
1
1
1

1
1
1
4
1
4
1
2
4
2
2
1
1
3
1
2
1
1
2
4
4
2
1
3
4
1
1
4
2
4
4
2
4
3
4
4
3
4
4
3
4
1
2
3
4
3
1

2
2
1
2
2
3
3
3
4
3
2
3
1
2
2
2
3
2
4
4
3
2
3
2
4
3
3
2
3
3
3
2
3
3
3
3
4
3
3
3
2
1
2
3
2
3
3

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

2
4
4
2
4
4
2
4
3
1
4
2
2
2
2
4
2
4
3
1
2
4
2
2
4
2
2
4
2
4
3
2
1
4
4
4
1
2
1
2
2
2
3
2
4
2
4

3
3
2
3
1
3
1
4
1
2
3
1
3
2
2
2
1
1
1
3
3
3
1
1
1
1
1
2
2
1
3
1
2
1
4
3
3
2
4
4
1
1
1
1
1
1
1

46
20
47
29
54
52
32
51
33
37
20
34
31
30
30
22
34
19
34
45
25
26
33
28
41
36
26
28
39
65
38
41
26
41
45
40
24
31
35
40
28
28
27
31
37
35
46

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

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

1
1
2
1
1
2
1
1
2
2
1
2
2
2
1
1
2
1
2
1
1
1
2
1
1
1
1
1
1
4
2
2
1
1
1
1
1
2
1
1
1
1
2
1
2
1
2

4
3
3
2
1
4
4
4
3
4
1
3
3
1
2
1
4
1
4
4
4
4
2
4
4
3
2
2
3
3
3
1
4
4
1
4
4
2
3
2
2
2
2
2
2
4
4

3
3
2
2
2
2
4
3
3
3
3
3
3
2
3
3
2
3
3
3
3
3
4
2
1
2
3
3
3
3
2
2
3
2
4
2
3
3
2
3
2
1
4
3
2
2
3

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

3
4
2
2
2
4
4
1
4
3
2
2
2
4
4
2
3
4
4
4
2
2
1
3
2
2
4
4
4
4
2
4
4
1
2
2
4
4
3
2
4
2
2
2
4
1
3

2
3
3
3
3
2
3
2
1
2
1
2
3
3
4
1
3
2
4
4
2
3
3
3
3
1
4
4
4
1
3
3
1
3
2
1
4
2
3
1
3
1
3
3
4
1
1

32
33
33
26
24
25
54
24
48
49
32
55
40
22
38
26
51
38
46
63
30
32
26
34
46
29
42
42
63
32
23
59
61
22
27
26
37
34
57
31
28
24
21
34
29
27
34

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

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

1
2
2
2
2
1
2
1
2
2
1
1
2
1
1
1
2
1
1
2
2
2
2
1
2
2
1
2
1
2
1
1
2
1
2
1
1
2
1
1
1
1
1
1
1
1
2

3
4
1
4
2
1
1
2
4
4
4
4
1
2
2
2
2
2
4
4
4
1
4
4
2
4
3
1
4
3
3
3
2
3
2
2
4
4
4
4
4
4
4
4
4
4
4

3
3
3
3
3
2
2
3
4
3
3
2
3
3
2
3
3
2
3
3
2
3
3
4
3
2
3
2
2
3
3
3
4
4
4
2
3
3
3
3
3
2
3
3
3
4
2

1
1
1
3
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

2
3
2
2
3
4
4
4
4
4
3
1
4
2
4
2
4
4
4
1
4
2
2
4
2
1
4
2
4
2
4
2
1
3
4
4
4
4
2
4
2
4
2
3
4
2
4

3
1
3
1
2
3
3
4
1
1
1
2
2
3
1
3
4
2
4
3
1
3
1
1
3
2
1
2
2
3
4
3
1
1
2
1
1
3
3
2
3
1
1
2
3
1
3

27
28
30
22
36
22
26
63
22
36
24
30
43
37
26
33
66
50
35
25
25
33
30
41
32
32
39
23
26
32
40
30
27
36
29
64
32
35
44
42
29
57
27
29
44
28
40

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

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

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

2
4
4
4
2
2
4
1
4
4
2
4
4
3
4
3
4
3
4
3
4
4
4
4
4
4
2
4
4
4
2
2
1
1
2
4
4
2
1
4
1
3
1
3
4
1
4

3
2
3
3
3
2
2
2
2
3
3
4
3
3
2
2
3
4
2
3
3
4
3
3
3
2
3
2
3
3
3
2
3
3
3
3
3
4
1
3
2
3
2
2
3
2
3

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

3
4
4
4
3
3
4
2
4
4
4
4
4
4
3
2
4
3
4
4
4
2
4
2
4
2
2
3
3
4
4
4
4
1
3
2
2
4
4
4
4
2
2
4
2
4
4

3
4
3
1
4
3
2
1
3
4
3
1
4
4
3
1
3
3
2
3
2
1
1
1
4
3
4
1
1
3
4
4
4
1
3
2
2
3
1
2
3
3
1
1
3
4
3

68
52
46
52
32
34
23
33
26
55
27
28
57
36
31
24
43
40
23
26
30
40
56
50
36
21
32
66
66
39
70
24
22
27
29
35
29
26
60
40
23
45
24
55
30
35
24

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

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

3
1
2
3
1
2
1
1
1
2
1
2
1
1
1
1
4
3
1
2
2
1
1
1
2
1
1
1
1
1
1
2
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1

4
4
4
3
1
4
4
4
4
2
2
4
2
1
2
3
3
3
3
2
2
4
2
3
4
4
4
2
3
1
3
4
4
3
4
3
2
4
2
4
3
1
1
4
2
2
2

3
3
3
3
2
3
4
3
3
2
2
3
2
3
3
2
2
1
2
4
3
3
3
3
4
3
4
4
3
2
4
4
4
3
1
3
4
2
3
3
3
4
2
1
4
2
3

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

4
4
2
2
4
2
3
4
2
4
4
4
4
2
4
2
2
2
4
2
3
1
4
1
3
3
3
2
4
2
1
2
3
2
2
3
2
2
4
4
2
2
2
2
1
3
1

2
4
3
2
1
3
3
2
3
4
3
2
1
4
2
2
1
3
2
1
2
1
2
2
1
1
2
1
2
2
1
1
2
2
1
3
1
1
2
3
2
3
4
3
2
3
3

47
47
25
37
33
31
27
47
25
57
67
48
40
32
49
35
27
35
37
26
45
33
42
31
46
54
26
29
43
38
35
28
27
51
33
38
30
38
46
33
43
24
56
37
22
20
29

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

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

3
2
2
2
1
1
2
3
2
3
1
4
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
2
1
2
1
2
2
2
1
1
1
1
1
1
1
1

4
4
1
2
4
4
3
4
4
2
4
2
4
2
2
4
2
4
4
4
1
2
4
1
4
4
4
4
2
3
4
4
4
3
3
2
3
4
4
2
1
4
2
1
2
3
4

3
3
2
2
2
2
2
2
3
2
4
2
3
2
3
3
2
4
2
2
2
3
3
2
2
3
3
2
3
4
2
3
4
2
3
3
4
2
2
2
2
2
2
4
1
3
2

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

4
4
1
4
2
2
1
2
2
2
2
1
2
1
1
4
2
1
1
4
1
1
2
4
2
1
2
1
1
2
1
2
1
4
4
3
2
3
1
2
1
1
4
2
4
1
2

3
4
3
2
3
3
1
1
3
3
1
1
4
3
1
3
3
2
3
3
1
1
2
3
3
3
2
2
1
1
3
2
1
3
2
1
1
2
1
3
3
2
2
1
1
3
2

36
37
44
23
28
26
29
21
34
31
40
27
32
25
42
43
44
32
27
20
37
42
46
33
22
41
37
27
42
26
26
27
22
37
30
49
27
40
20
26
30
33
26
35
44
27
24

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

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

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

4
2
3
1
4
4
4
4
2
2
4
2
2
4
4
1
4
4
1
2
4
4
2
2
1
4
3
2
3
4
1
2
3
2
4
1
4
2
2
4
4
2
2
4
4
4
4

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

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

2
2
2
3
4
4
3
1
4
3
2
2
2
2
4
4
3
4
1
4
3
4
1
4
2
1
1
2
4
4
4
2
2
3
4
3
2
2
2
3
1
2
3
1
3
3
4

4
2
2
2
3
1
3
1
4
3
3
3
3
3
3
3
3
3
2
3
2
4
4
4
2
1
1
1
4
4
4
1
2
2
1
2
2
2
2
2
2
2
2
2
2
2
4

47
26
23
31
52
43
37
26
35
30
34
35
48
42
40
23
30
24
33
31
22
53
34
36
37
25
34
27
51
23
29
32
28
38
65
39
29
26
30
75
21
41
25
35
37
26
30

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

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

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

4
2
2
4
4
4
3
4
2
2
2
4
4
2
2
4
4
4
4
3
4
2
4
4
2
4
3
3
1
4
3
2
2
4
4
2
4
3
4
4
1
4
4
4
4
4
4

2
1
2
2
3
2
3
3
1
3
1
3
3
3
3
3
3
3
3
2
2
3
3
3
3
3
3
3
2
3
4
1
2
2
3
1
3
3
3
3
2
3
3
3
3
3
3

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

2
1
3
1
2
4
4
3
4
3
4
2
4
2
4
4
4
4
4
4
3
4
4
3
4
1
3
1
4
4
2
1
4
4
4
3
4
3
2
4
4
4
4
4
4
2
4

2
3
2
2
4
2
4
3
2
1
4
4
4
2
4
4
4
3
2
4
2
2
2
2
4
4
2
2
2
2
2
2
4
4
4
3
2
3
2
3
2
2
2
2
4
2
4

23
42
30
46
29
29
38
30
31
47
48
27
66
29
75
36
38
46
36
55
25
45
28
30
39
22
60
28
24
63
46
33
44
58
54
43
52
32
41
34
48
38
38
53
38
42
38

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

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

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

2
2
3
4
4
4
4
4
4
1
4
4
3
2
4
4
4
4
2
4
3
4
3
4
3
3
4
4
4
4
3
1
4
2
4
3
1
3
2
2
4
3
4
3
3
1
4

2
3
4
3
3
4
3
3
2
2
3
4
3
2
4
2
2
4
1
3
2
3
4
3
4
3
3
3
3
1
2
2
2
2
4
4
2
3
3
2
4
3
2
3
3
2
2

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

3
2
3
2
3
4
4
4
4
1
4
2
2
4
2
4
2
1
4
4
4
2
3
4
3
4
4
3
3
2
2
1
2
4
3
1
2
2
4
2
2
4
4
4
4
2
4

1
1
1
1
1
1
3
1
1
1
1
1
1
2
1
1
1
1
3
1
1
1
1
1
1
2
1
2
2
3
4
2
3
1
1
2
2
1
3
3
2
3
2
4
3
3
2

64
35
26
33
29
20
28
47
49
45
23
25
34
23
32
26
44
26
28
25
48
35
28
23
40
36
50
24
40
31
29
45
32
21
27
22
46
24
21
36
28
27
57
47
34
23
57

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

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

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

4
4
4
4
2
1
4
4
4
4
2
4
4
2
4
2
4
4
3
3
2
1
1
4
4
2
1
4
3
1
2
1
4
4
4
3
3
2
2
1
2
1
4
3
4
3
4

3
3
3
3
2
3
2
3
3
2
3
3
3
3
2
4
3
3
3
3
3
4
2
3
3
3
3
3
3
2
3
1
3
3
3
4
2
1
4
3
2
4
3
3
2
1
3

1
1
2
1
3
1
2
2
1
1
3
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

4
3
4
4
4
3
4
4
4
4
3
2
1
3
3
2
4
4
2
2
2
3
2
4
2
2
2
4
4
4
4
4
4
3
4
4
4
4
4
4
4
2
4
4
4
4
3

1
2
4
1
3
4
4
3
1
2
2
3
4
2
1
3
4
3
1
3
3
3
3
3
3
4
4
4
4
3
4
1
3
1
3
3
1
1
3
3
2
2
4
4
2
4
4

67
36
20
36
37
31
62
65
36
41
26
27
50
54
27
24
50
40
28
31
27
21
31
39
30
27
55
34
23
23
42
62
37
46
38
31
31
61
20
63
24
21
36
44
67
51
30

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

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

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

4
4
3
1
4
4
4
4
4
4
4
1
4
4
4
2
3
2
4
4
3
4
2
2
4
4
1
4
3
2
4
4
4
4
3
1
3
1
2
2
2
2
4
4
4
2
2

3
3
2
3
3
3
3
2
1
3
3
2
3
3
3
3
3
3
2
3
3
4
3
3
2
1
1
4
3
3
4
3
2
1
3
2
4
3
2
2
2
1
2
3
3
3
1

1
1
1
1
1
1
1
3
1
1
1
1
1
1
1
3
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

3
3
4
2
3
4
4
2
4
4
4
4
4
4
2
2
2
3
2
2
2
3
1
1
4
3
4
2
2
2
4
2
2
1
2
1
3
4
4
1
3
1
4
4
4
1
1

3
4
3
2
3
3
3
4
3
1
4
2
4
3
3
1
2
4
3
3
4
1
3
3
3
4
1
3
2
2
1
4
2
4
3
2
2
1
3
1
1
2
2
1
4
1
3

28
32
28
23
33
60
48
24
27
28
65
29
42
47
22
25
32
29
24
30
27
47
24
24
34
40
44
33
40
49
48
57
24
29
35
32
61
36
25
26
25
55
53
66
61
34
33

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

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

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

4
4
4
4
4
4
4
4
3
3
4
4
2
4
4
2
2
4
1
4
3
2
1
4
4
3
4
4
4
3
4
2
4
4
4
4
1
1
2
3
2
2
4
2
4
2
2

2
3
2
2
2
2
4
2
2
3
3
2
3
3
2
2
2
2
2
3
2
2
3
3
1
2
2
3
3
3
3
2
2
3
3
3
2
2
3
1
3
2
3
3
2
3
3

1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2

2
3
2
4
4
2
2
4
3
4
2
4
2
4
4
2
4
1
4
2
4
2
2
3
3
2
2
4
4
4
2
2
1
2
4
2
4
4
2
3
4
2
4
2
4
3
3

3
4
2
4
1
2
3
2
3
4
2
4
3
4
1
1
4
1
4
1
1
3
4
2
2
1
3
2
4
2
3
1
3
3
3
3
2
3
3
3
4
2
4
1
3
3
3

29
38
35
32
25
33
23
24
28
63
39
35
23
36
23
24
74
22
48
26
24
19
27
29
32
25
29
47
34
43
30
22
42
26
27
26
32
23
36
43
39
26
40
31
29
29
39

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

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

1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
1
2
1
1
1
2
2
1
1
2
2
1
2
1
1
2
1
2
2

4
4
3
4
1
4
4
4
4
4
4
4
4
4
4
4
3
1
2
4
3
3
1
4
3
3
4
3
1
4
4
4
3
3
4
4
4
4
2
2
3
4
3
4
4
4
4

3
3
2
2
3
3
2
1
3
4
3
3
1
3
4
1
2
4
3
3
3
2
4
2
2
3
2
2
1
2
4
4
2
2
3
3
3
3
4
2
3
2
2
2
3
3
3

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

2
3
4
4
4
4
4
4
2
1
4
4
4
3
3
2
4
1
2
3
4
1
4
4
4
4
2
4
1
4
2
2
2
4
3
1
2
4
2
4
2
1
2
4
1
2
4

2
4
4
4
4
2
1
1
1
2
4
4
3
3
4
1
2
1
2
4
4
3
3
3
3
3
1
1
3
4
3
3
3
2
3
3
3
4
2
3
2
2
4
1
4
4
3

23
30
60
50
47
21
24
31
37
43
46
30
31
34
33
38
24
23
31
27
39
25
28
27
25
54
25
22
28
34
28
28
31
22
40
25
34
42
25
28
24
27
25
35
29
27
24

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

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

2
2
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
4
1
1
2
1
2
1
2
2
1
1
1
1
2
1
1
2
1
1
2
1
1
1
2

2
4
3
3
4
3
4
4
2
4
4
2
1
4
4
4
4
3
3
4
3
4
3
2
2
4
3
4
3
4
4
2
2
1
4
4
4
2
3
3
1
2
2
4
1
4
4

4
2
2
2
3
2
3
3
3
3
3
3
2
2
3
2
3
3
3
3
3
3
3
3
2
2
3
3
3
3
2
3
3
2
3
4
3
3
3
2
1
1
3
4
2
3
3

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

1
2
2
4
2
3
2
4
3
1
4
3
4
4
3
4
2
4
4
3
2
4
4
2
4
3
4
4
4
2
4
4
1
4
2
4
4
2
3
1
1
3
4
2
2
4
2

1
3
2
4
1
1
3
2
2
1
4
3
2
1
3
1
1
4
4
2
2
3
4
3
3
2
4
4
3
3
3
2
2
1
2
2
4
3
1
1
1
3
2
2
3
3
1

25
33
34
38
41
21
36
27
31
33
57
42
26
24
44
23
43
53
53
35
26
31
23
22
20
25
24
46
27
46
23
50
26
20
31
21
39
25
30
37
46
36
43
33
29
36
23

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

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

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

2
2
4
4
1
4
1
2
4
4
4
4
4
2
2
4
2
4
2
4
3
2
2
3
4
4
1
2
4
4
4
3
2
4
2
4
1
1
1
1
3
1
4
2
4
1
4

3
3
3
3
3
3
3
3
2
3
2
3
4
2
2
2
2
1
2
2
4
3
3
3
2
3
2
3
4
3
3
3
2
3
3
2
1
2
3
2
3
4
4
2
2
4
3

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

4
2
4
4
4
4
2
2
1
4
3
2
2
4
4
1
4
2
4
4
2
4
1
4
4
3
2
2
3
4
2
2
4
2
4
4
1
2
4
2
4
1
2
3
4
1
2

3
4
3
3
4
1
2
1
1
4
2
2
1
2
3
1
4
3
3
3
3
3
3
4
1
3
3
3
1
4
2
3
4
1
3
2
4
2
4
2
4
2
3
3
3
1
3

42
44
41
41
37
57
34
25
53
32
33
24
28
39
24
26
55
61
21
26
22
68
22
58
23
37
26
27
26
23
40
33
42
37
29
23
34
32
68
25
35
22
28
30
25
34
42

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

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

4
1
1
1
1
1
1
1
1
2
1
2
3
1
2
1
3
2
1
2
1
2
1
1
1
1
1
2
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
2
2
2

1
4
1
3
4
4
1
1
4
2
4
4
2
4

1
4
2
2
2
2
3
2
3
3
3
3
3
3

1
1
1
1
1
1
1
1
1
1
2
1
1
1

4
1
2
4
1
2
4
4
2
4
1
4
1
4

2
2
3
2
1
4
2
1
2
1
1
4
4
2

45
20
23
20
27
44
51
33
28
21
45
30
52
31

3
3
3
3
3
3
3
1
3
3
3
3
3
3

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

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

beruf

pers
3
3
2
2
2
2
2
2
1
1
3
3
3
4
2
3
2
3
3
2
3
2
2
3
2
3
3
2
3
3
3
3
4
3
3
3
2
3
3
4
3
2
3
3
3
3

telef
1
2
1
2
1
2
1
2
1
1
2
1
1
1
1
2
2
1
1
1
2
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
1

gastarb
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
2
1
1
2
2
1
2
1
2
1
2

Random
1
1
1
2
2
2
2
2
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

3
3
1
3
7
10
3
5
3
9
7
3
10
8
10
1
8
9
2
7
7
5
2
1
7
9
6
7
10
8
3
10
9
10
8
8
1
8
6
7
10
3
10
2
2
6

3
3
3
3
2
3
3
3
4
2
2
3
3
3
3
4
3
3
2
3
3
3
3
3
3
3
3
3
4
3
4
3
3
3
3
3
3
3
3
3
3
3
2
3
3
3
3

1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1

2
1
2
2
1
2
1
2
2
2
2
1
2
1
2
2
2
2
1
1
2
2
2
2
2
2
1
2
1
2
2
2
2
1
2
2
2
2
1
1
2
1
2
2
1
1
1

1
1
1
1
1
1
1
1
1
1
1
2
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

4
3
8
9
7
8
5
4
2
4
2
10
5
1
5
4
1
3
10
1
1
2
6
7
9
8
9
2
8
2
5
1
2
6
9
6
8
2
8
1
4
9
4
6
8
3
1

3
3
2
2
4
3
2
3
2
4
3
3
3
4
3
3
3
3
3
4
3
3
2
3
3
3
3
4
3
4
2
3
3
3
3
4
3
3
3
3
3
3
3
3
3
2
3

1
1
2
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
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1

1
2
2
1
2
1
1
2
1
2
1
2
2
2
2
2
1
2
2
2
2
2
1
2
2
2
2
2
2
2
1
2
2
1
2
2
2
1
2
2
1
2
1
2
1
1
2

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

2
3
5
1
7
1
8
7
9
6
10
9
1
6
6
2
1
10
2
4
5
8
7
6
9
5
7
8
1
9
2
10
8
9
1
2
6
3
5
4
8
7
2
1
6
7
6

2
2
3
4
3
4
3
2
3
2
3
3
3
3
3
2
3
3
3
3
3
3
3
3
3
3
3
4
3
3
3
2
3
3
4
4
2
3
3
4
3
3
3
3
3
3
3

1
1
1
1
1
1
2
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
2
2
1
1
1
1
1
1
1
1
1
1
1
1

2
1
2
1
1
2
2
2
2
1
1
1
2
2
2
1
1
1
1
2
1
2
2
2
2
2
1
2
1
2
1
1
1
1
2
2
2
1
2
2
2
1
1
2
1
2
2

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
6
5
3
10
10
7
9
8
4
3
2
9
3
4
9
9
8
6
9
4
10
4
10
10
3
3
7
10
4
5
10
3
4
2
1
8
9
7
2
1
7
3
2
6
6
6

3
3
4
4
3
3
3
3
4
4
3
3
3
4
3
2
3
2
4
4
3
4
3
2
3
3
1
1
2
3
1
2
2
4
2
2
3
3
2
2
2
2
3
4
2
4
4

2
2
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
2
1
1
1
2
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1

2
1
2
2
1
1
1
1
2
2
1
1
1
1
2
1
2
1
2
2
1
2
2
1
2
2
1
1
1
1
1
2
1
2
1
2
1
1
1
2
1
1
1
2
1
2
2

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
1
2
1
1
2
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1

7
6
5
1
4
4
9
4
7
7
2
1
9
2
2
4
4
8
1
10
1
6
6
5
6
9
2
9
1
6
10
6
8
2
9
9
3
2
8
5
1
7
9
2
1
6
1

2
3
3
2
2
3
2
4
2
4
2
3
3
3
2
3
3
2
3
3
4
3
2
3
2
2
2
4
3
3
3
3
2
3
2
2
3
3
2
3
4
2
4
3
3
3
3

1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
2
1
1
1
1
1

1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
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
8
10
6
9
3
7
1
3
3
10
3
10
9
3
9
10
2
1
3
2
3
7
8
6
3
6
1
6
1
3
10
4
10
2
2
7
2
10
9
2
9
2
7
2
4
10

2
3
3
3
1
3
3
2
3
2
3
2
3
3
3
3
2
2
3
2
3
3
3
2
2
2
2
4
2
3
3
2
3
2
3
3
3
3
3
2
3
3
3
2
3
2
3

1
1
1
1
1
1
2
1
1
2
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
2
1
2
1
1
2
2
1
1
1
1
2
1
1
1
2
1
1
2

1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
2
1
2
1
1
1
1
1
2
1
1
2
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
2
2
1
1
2
2
1
2
2

7
7
7
7
6
5
9
6
5
4
3
6
7
9
2
1
4
6
8
10
8
3
4
8
4
9
1
6
1
7
1
3
1
4
7
4
9
6
2
10
4
6
9
9
5
1
2

3
3
3
3
3
3
3
2
3
3
3
3
3
3
4
3
3
3
3
3
3
3
3
3
4
3
3
3
3
2
4
3
2
3
3
3
3
3
2
2
3
2
2
3
3
3
4

1
1
1
1
1
1
1
1
2
1
2
1
2
1
1
2
1
1
1
1
1
1
1
2
2
1
2
1
2
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

1
2
2
1
2
1
2
1
1
2
1
1
2
1
2
1
2
2
2
2
1
1
1
2
1
1
2
1
2
1
1
2
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1

2
1
1
1
1
1
1
2
2
1
1
2
1
2
1
2
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

8
1
3
8
5
3
10
3
10
7
7
8
4
3
1
8
2
6
6
5
4
5
4
7
6
5
10
5
7
5
6
9
3
3
9
10
4
4
1
10
4
6
7
1
10
5
9

4
3
4
3
3
3
2
4
2
3
3
3
2
3
3
3
1
2
3
3
3
3
3
3
3
3
2
1
3
3
1
3
3
3
3
3
3
3
3
3
3
2
3
3
3
3
3

1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
1
2
1
1

1
1
2
1
1
1
1
2
1
2
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
2
1
2
2
2
2
2
2
2
2
1
2
1
2
2
1
1
1
2
2
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

9
10
9
2
3
9
2
8
10
5
2
7
10
10
4
5
10
4
2
3
7
8
6
9
5
2
1
9
8
1
5
5
6
6
10
4
4
7
7
3
10
7
1
6
3
3
2

1
4
3
3
3
4
3
2
4
3
3
3
2
3
3
3
4
1
3
3
4
3
3
3
3
3
4
2
2
3
4
3
3
2
3
2
2
3
4
4
3
2
1
4
3
3
3

1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
2
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

2
2
2
1
2
2
2
1
2
1
1
1
1
1
1
1
2
2
2
1
2
2
1
1
1
1
2
1
1
2
2
2
1
1
2
2
1
2
2
2
2
1
1
2
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

6
3
10
9
6
2
10
9
10
4
8
5
5
3
2
4
7
2
10
9
8
8
6
4
5
1
2
3
10
5
2
5
8
5
5
5
1
8
10
1
5
6
2
6
1
10
6

3
3
3
3
2
3
2
3
3
2
3
3
3
3
3
3
3
4
3
3
4
3
3
3
3
3
3
3
3
1
3
3
3
3
3
4
3
3
4
3
3
3
3
3
3
3
3

2
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1

2
1
1
1
1
1
1
2
1
1
2
2
1
1
2
1
1
2
2
2
2
1
1
2
1
1
2
1
2
1
1
1
2
1
2
2
1
2
2
2
2
1
1
2
1
1
1

1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
2
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

9
3
2
1
7
3
1
2
1
8
2
4
3
8
8
10
10
6
6
8
6
5
10
9
3
9
3
7
10
8
7
7
4
8
3
10
7
2
10
5
6
7
7
6
6
7
6

4
3
3
3
4
4
3
3
4
3
2
3
4
3
2
3
2
4
3
3
3
2
2
3
3
3
2
3
2
3
3
3
3
3
3
2
3
3
3
3
3
4
4
3
3
3
4

1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
2
1
1
1
1
2
2
1
1
1
2
1
1
2
1
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
1
1

2
2
2
2
2
2
1
2
2
1
1
1
2
1
1
2
2
2
1
2
1
1
2
2
2
2
1
1
1
2
1
2
1
2
2
1
2
2
1
2
1
2
2
2
2
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
10
4
2
3
8
2
10
10
10
9
1
3
3
7
4
2
4
9
10
10
10
9
4
9
1
8
9
1
2
10
10
6
10
2
3
3
6
3
4
7
1
2
1
9
6
8

3
2
3
2
2
3
3
3
2
3
3
4
4
3
2
3
4
2
3
3
3
4
4
4
3
3
4
3
4
2
1
3
3
2
3
3
3
3
2
4
2
3
3
4
3
3
3

1
1
1
2
1
1
1
1
2
1
2
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
1
1
1
1
2
1
2
1
2
1
1
1
2
1
1
1
2
1

2
1
2
2
1
2
2
1
2
1
2
2
2
1
1
1
2
1
1
1
1
2
2
2
1
1
1
1
2
2
1
1
1
1
1
1
1
1
1
2
1
1
1
2
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
2
1
1
1

9
5
7
7
4
1
4
9
3
9
6
9
4
4
2
2
1
2
7
6
9
4
2
4
1
3
5
5
3
2
7
6
8
5
5
8
9
10
6
3
3
5
5
9
2
1
2

2
3
3
3
4
3
4
4
2
2
3
4
4
2
4
4
4
3
4
4
3
3
3
4
4
3
3
2
3
3
3
3
4
2
3
4
3
3
3
3
2
3
3
3
3
3
3

1
1
1
1
1
1
2
2
1
2
1
1
1
2
1
1
1
1
2
1
1
2
1
1
2
1
1
1
1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
2
1
2

1
1
1
1
2
2
2
2
1
1
2
2
1
1
2
2
2
1
2
1
1
1
1
2
2
1
1
1
1
2
2
1
2
1
1
1
1
1
1
1
2
1
1
1
2
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

7
8
4
7
9
7
2
6
7
9
5
4
7
10
4
3
2
2
3
1
4
4
6
6
10
6
9
9
6
2
1
6
2
2
1
9
1
4
6
2
1
4
10
7
9
10
6

3
3
2
3
3
3
3
2
3
3
3
2
3
2
2
2
2
2
3
2
2
3
2
2
2
4
3
2
3
2
1
2
2
3
2
2
2
2
3
3
3
3
4
3
3
3
3

1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
2
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
2
1
1
1
1
1
1
1
1
1
2
1
2
2
1
1
1
2
2
1
1
1
1
1
1
2
1
1
1
1
2
2
1
1
2
1
2
2
2

1
2
2
2
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

10
6
6
6
10
9
1
9
4
4
10
8
1
7
9
10
10
1
6
10
6
4
2
10
3
10
8
10
8
6
4
9
3
6
9
4
6
6
2
10
8
10
9
3
1
8
8

3
3
3
3
3
3
3
1
3
2
3
3
4
4
3
3
3
4
2
4
3
3
4
4
4
4
4
3
3
3
3
3
2
3
2
3
2
2
3
3
2
3
3
3
4
3
3

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

2
2
1
1
1
2
2
1
1
1
1
1
2
2
1
1
1
2
1
2
1
2
1
2
2
1
2
2
2
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
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

7
8
8
7
7
5
1
7
9
8
10
5
8
7
4
6
3
7
2
4
2
8
7
5
9
4
3
4
8
1
4
3
8
8
5
1
10
8
9
3
8
10
3
9
9
4
1

2
3
3
1
3
2
3
3
3
3
3
3
3
2
3
3
3
3
3
4
4
2
3
3
3
4
4
3
4
3
3
4
3
3
3
2
3
2
2
1
2
3
3
4
4
2
3

1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
2
1

1
1
1
2
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
2
2
2
2
2
2
1
2
1
1
2
1
1
2
1
1
2
1
1
1
2
1
2
2
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

7
5
1
10
3
7
10
4
1
8
1
1
6
2
2
6
7
6
2
2
8
1
4
5
9
7
10
8
2
10
2
4
10
8
7
8
8
2
10
2
8
1
10
3
5
5
5

3
3
3
3
3
3
3
3
3
3
4
3
3
3
3
3
4
3
2
3
3
3
3
3
3
3
2
4
2
3
3
3
3
4
3
3
3
4
3
3
4
3
4
2
2
4
4

1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
2
1
1
1
1
1
2

1
1
1
1
1
1
1
1
1
2
2
1
2
1
1
1
2
1
1
1
1
1
2
2
1
2
2
2
1
2
1
1
2
2
2
1
1
1
1
2
2
1
2
1
1
2
2

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

10
4
1
5
3
1
5
1
10
8
5
1
2
9
7
10
10
10
5
10
7
8
9
1
7
6
3
3
10
3
1
3
10
5
6
10
10
9
6
1
9
3
1
4
6
6
2

2
4
4
3
3
3
2
3
2
2
3
3
3
3
2
3
3
3
3
3
3
3
4
3
2
3
3
3
3
2
4
4
3
3
4
1
4
4
3
3
3
3
4
3
4
4
3

1
1
1
1
2
1
1
1
2
2
2
2
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
2
1
2
1
1
2
1
1
1
2
1
1
2
1
1
1
1
2
2
1
2
1
2
1
2
1
1
1
1
1
2
1
2
1
2
1
1
2
1
1
2
2
2
2
2

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

9
1
3
3
9
5
6
6
7
10
2
8
8
8
4
3
6
8
3
10
9
5
2
6
2
8
8
5
3
7
1
10
2
6
4
5
1
3
6
7
8
2
2
2
5
8
1

3
3
4
4
2
3
3
2
3
2
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
2
3
3
3
3
3
3
2

1
1
1
1
2
1
2
1
1
2
1
1
1
1
1
1
2
2
2
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
1
1
2
1

2
1
2
2
1
1
2
1
2
1
2
1
1
1
1
1
1
1
1
1
2
1
1
1
1
1
1
2
1
2
1
2
1
1
2
1
2
2
1
1
1
1
2
1
1
2
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
2
2
1
1
1

2
10
7
8
6
10
6
8
3
1
4
6
6
9
8
8
7
4
2
1
2
6
7
6
7
6
9
1
4
1
4
5
4
8
10
7
10
3
2
6
10
7
4
2
1
1
1

4
3
2
2
3
2
4
2
4
2
2
2
3
3
2
1
1
2
3
2
3
3
3
3
2
3
3
3
3
3
2
4
4
3
3
3
2
4
4
3
3
3
3
4
3
3
4

1
1
2
2
1
1
2
1
1
2
2
1
1
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
2
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

2
1
1
1
2
1
2
1
2
1
1
1
2
1
1
1
1
1
1
1
2
1
1
2
2
1
2
2
1
2
1
2
2
1
1
1
2
2
2
2
2
2
2
2
1
2
2

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
2
1
1
1
1
1
1
1
1
1

9
7
1
4
8
5
8
6
9
5
3
7
2
2
7
1
8
6
7
8
10
3
1
6
6
4
8
5
8
5
3
8
8
2
4
1
9
7
10
2
4
10
1
1
10
10
4

4
3
2
2
1
4
3
3
3
2
3
4
4
3

1
1
1
1
1
1
2
1
1
2
1
1
1
1

2
1
1
2
1
2
2
2
2
1
1
2
2
1

2
1
1
1
1
1
1
1
1
1
1
1
1
1

4
4
5
10
5
6
2
4
7
1
4
10
2
3

Variable

Description

Credit

Credibality (DV)

balance_credit_acc

Balance of current account

duration

duration in months (metric)

moral

Payment of previous credits

verw

Purpose of credit

hoehe

Amount of credit in "Deutsche Mark" (metric)

sparkont

Value of savings or stocks

beszeit

Has been employed by current employer for

rate

Installment in % of available income

famges

Marital Status / Sex

buerge

Further debtors / Guarantors

wohnzeit

Living in current household for

verm

Most valuable available assets

alter

Age in years (metric)

weitkred

Further running credits

wohn

Type of apartment

bishkred

Number of previous credits at this bank (including
the running one)

beruf

Occupation

pers

Number of persons entitled to maintenance

telef

Telephone

gastarb

Foreign worker

Categories
Good
Bad
no balance or debit
0 <= ... < 200
... >= 200 DM or checking account for at least 1 year
no running account
no previous credits / paid back all previous credits
paid back previous credits at this bank
no problems with current credits at this bank
hesitant payment of previous credits
problematic running account / there are further credits running but at other
banks
new car
used car
items of furniture
radio / television
household appliances
repair
education
vacation
retraining
business
other
< 100,- DM
100,- <= ... < 500,- DM
500,- <= ... < 1000,- DM
>= 1000,- DM
not available / no savings
unemployed
<= 1 year
1 <= ... < 4 years
4 <= ... < 7 years
>= 7 years
>= 35
25 <= ... < 35
20 <= ... < 25
< 20
male: divorced / living apart
female: divorced / living apart / married
male: single
male: married / widowed
female: single
none
Co-Applicant
Guarantor

Score
1
0
2
3
4
1
2
4
3
0
1
1
2
3
4
5
6
7
8
9
10
0
2
3
4
5
1
1
2
3
4
5
1
2
3
4
1
2
2
3
4
1
2
3

< 1 year
1 <= ... < 4 years
4 <= ... < 7 years
>= 7 years
Ownership of house or land
Savings contract with a building society / Life insurance
Car / Other
not available / no assets

1
2
3
4
4
3
2
1

at other banks
at department store or mail order house
no further running credits
rented flat
owner-occupied flat
free apartment

1
2
3
2
3
1

one
two or three
four or five
six or more
unemployed / unskilled with no permanent residence
unskilled with permanent residence
skilled worker / skilled employee / minor civil servant
executive / self-employed / higher civil servant

1
2
3
4
1
2
3
4
2
1
1
2
1
2

0 to 2
3 and more
no
yes
yes
no

Sponsor Documents

Or use your account on DocShare.tips

Hide

Forgot your password?

Or register your new account on DocShare.tips

Hide

Lost your password? Please enter your email address. You will receive a link to create a new password.

Back to log-in

Close