Datasets:
jlh
/
home-credit-synthetic-example

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
TARGET
float64
0
1
NAME_CONTRACT_TYPE
float64
0
1
CODE_GENDER
float64
0
1
FLAG_OWN_CAR
float64
0
1
FLAG_OWN_REALTY
float64
0
1
CNT_CHILDREN
float64
0
6
AMT_INCOME_TOTAL
float64
0
0
AMT_CREDIT
float64
0
24
AMT_ANNUITY
float64
0
27
AMT_GOODS_PRICE
float64
0
23
NAME_TYPE_SUITE
float64
0
6
NAME_INCOME_TYPE
float64
1
7
NAME_EDUCATION_TYPE
float64
0
4
NAME_FAMILY_STATUS
float64
0
5
NAME_HOUSING_TYPE
float64
0
5
REGION_POPULATION_RELATIVE
float64
0
31
DAYS_BIRTH
float64
0
31
DAYS_EMPLOYED
float64
0
31
DAYS_REGISTRATION
float64
6
31
DAYS_ID_PUBLISH
float64
4
31
OWN_CAR_AGE
float64
0
22
FLAG_MOBIL
float64
1
1
FLAG_EMP_PHONE
float64
0
1
FLAG_WORK_PHONE
float64
0
1
FLAG_CONT_MOBILE
float64
0
1
FLAG_PHONE
float64
0
1
FLAG_EMAIL
float64
0
1
OCCUPATION_TYPE
float64
0
17
CNT_FAM_MEMBERS
float64
0
8
REGION_RATING_CLIENT
float64
0
2
REGION_RATING_CLIENT_W_CITY
float64
0
2
WEEKDAY_APPR_PROCESS_START
float64
0
6
HOUR_APPR_PROCESS_START
float64
1
23
REG_REGION_NOT_LIVE_REGION
float64
0
1
REG_REGION_NOT_WORK_REGION
float64
0
1
LIVE_REGION_NOT_WORK_REGION
float64
0
1
REG_CITY_NOT_LIVE_CITY
float64
0
1
REG_CITY_NOT_WORK_CITY
float64
0
1
LIVE_CITY_NOT_WORK_CITY
float64
0
1
ORGANIZATION_TYPE
float64
0
31
EXT_SOURCE_1
float64
0
31
EXT_SOURCE_2
float64
0
31
EXT_SOURCE_3
float64
0
31
APARTMENTS_AVG
float64
0
31
BASEMENTAREA_AVG
float64
0
31
YEARS_BEGINEXPLUATATION_AVG
float64
0
31
YEARS_BUILD_AVG
float64
0
31
COMMONAREA_AVG
float64
0
31
ELEVATORS_AVG
float64
0
31
ENTRANCES_AVG
float64
0
31
FLOORSMAX_AVG
float64
0
31
FLOORSMIN_AVG
float64
0
31
LANDAREA_AVG
float64
0
31
LIVINGAPARTMENTS_AVG
float64
0
31
LIVINGAREA_AVG
float64
0
31
NONLIVINGAPARTMENTS_AVG
float64
0
31
NONLIVINGAREA_AVG
float64
0
31
APARTMENTS_MODE
float64
0
31
BASEMENTAREA_MODE
float64
0
31
YEARS_BEGINEXPLUATATION_MODE
float64
0
31
YEARS_BUILD_MODE
float64
0
31
COMMONAREA_MODE
float64
0
31
ELEVATORS_MODE
float64
0
26
ENTRANCES_MODE
float64
0
30
FLOORSMAX_MODE
float64
0
25
FLOORSMIN_MODE
float64
0
25
LANDAREA_MODE
float64
0
31
LIVINGAPARTMENTS_MODE
float64
0
31
LIVINGAREA_MODE
float64
0
31
NONLIVINGAPARTMENTS_MODE
float64
0
31
NONLIVINGAREA_MODE
float64
0
31
APARTMENTS_MEDI
float64
0
31
BASEMENTAREA_MEDI
float64
0
31
YEARS_BEGINEXPLUATATION_MEDI
float64
0
31
YEARS_BUILD_MEDI
float64
0
31
COMMONAREA_MEDI
float64
0
31
ELEVATORS_MEDI
float64
0
31
ENTRANCES_MEDI
float64
0
31
FLOORSMAX_MEDI
float64
0
31
FLOORSMIN_MEDI
float64
0
31
LANDAREA_MEDI
float64
0
31
LIVINGAPARTMENTS_MEDI
float64
0
31
LIVINGAREA_MEDI
float64
0
31
NONLIVINGAPARTMENTS_MEDI
float64
0
31
NONLIVINGAREA_MEDI
float64
0
31
FONDKAPREMONT_MODE
float64
0
3
HOUSETYPE_MODE
float64
0
2
TOTALAREA_MODE
float64
0
31
WALLSMATERIAL_MODE
float64
0
6
EMERGENCYSTATE_MODE
float64
0
1
OBS_30_CNT_SOCIAL_CIRCLE
float64
0
2
DEF_30_CNT_SOCIAL_CIRCLE
float64
0
1
OBS_60_CNT_SOCIAL_CIRCLE
float64
0
2
DEF_60_CNT_SOCIAL_CIRCLE
float64
0
1
DAYS_LAST_PHONE_CHANGE
float64
3
31
FLAG_DOCUMENT_2
float64
0
0
FLAG_DOCUMENT_3
float64
0
1
FLAG_DOCUMENT_4
float64
0
1
FLAG_DOCUMENT_5
float64
0
1
FLAG_DOCUMENT_6
float64
0
1
FLAG_DOCUMENT_7
float64
0
1
FLAG_DOCUMENT_8
float64
0
1
FLAG_DOCUMENT_9
float64
0
1
FLAG_DOCUMENT_10
float64
0
0
FLAG_DOCUMENT_11
float64
0
1
FLAG_DOCUMENT_12
float64
0
0
FLAG_DOCUMENT_13
float64
0
1
FLAG_DOCUMENT_14
float64
0
1
FLAG_DOCUMENT_15
float64
0
1
FLAG_DOCUMENT_16
float64
0
1
FLAG_DOCUMENT_17
float64
0
1
FLAG_DOCUMENT_18
float64
0
1
FLAG_DOCUMENT_19
float64
0
1
FLAG_DOCUMENT_20
float64
0
1
FLAG_DOCUMENT_21
float64
0
1
AMT_REQ_CREDIT_BUREAU_HOUR
float64
0
5
AMT_REQ_CREDIT_BUREAU_DAY
float64
0
4
AMT_REQ_CREDIT_BUREAU_WEEK
float64
0
5
AMT_REQ_CREDIT_BUREAU_MON
float64
0
15
AMT_REQ_CREDIT_BUREAU_QRT
float64
0
0
AMT_REQ_CREDIT_BUREAU_YEAR
float64
0
9
0
0
0
0
1
0
0
1
1
1
6
7
4
1
1
8
8
1
19
16
4
1
1
0
1
0
0
8
0
2
2
0
7
0
0
0
0
0
0
1
16
16
16
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
13
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
6
0
1
0
0
1
0
0
1
1
1
6
1
4
2
4
8
11
1
28
22
4
1
1
0
1
0
0
8
0
1
1
0
9
0
0
0
0
1
1
6
16
24
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
30
0
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
0
0
0
6
7
4
1
1
10
26
1
18
21
4
1
1
0
1
1
0
8
0
1
1
0
18
0
0
0
0
1
1
2
8
21
20
2
2
31
25
1
0
6
5
6
3
2
1
0
0
3
3
31
25
1
0
6
4
5
3
2
1
0
0
2
2
31
25
1
0
6
5
6
3
2
1
0
0
2
0
2
4
0
0
0
0
0
23
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
4
0
0
0
0
1
0
0
3
5
3
5
7
1
1
1
3
6
0
21
12
4
1
1
1
1
0
0
3
0
1
1
5
13
0
0
0
0
0
0
21
16
26
25
3
2
31
24
1
2
4
7
7
2
3
4
0
0
3
2
31
24
1
2
4
5
5
2
3
4
0
0
3
2
31
24
1
2
4
7
7
2
3
4
0
0
2
0
7
4
0
0
0
0
0
30
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
1
0
0
4
3
3
6
3
4
3
1
3
3
31
19
11
4
1
0
0
1
0
0
8
0
2
2
1
7
0
0
0
0
0
0
31
16
23
14
3
14
31
29
0
6
3
9
8
1
0
2
0
0
1
0
31
29
0
5
2
5
6
0
1
0
0
0
3
14
31
29
0
6
3
9
8
1
0
2
0
0
2
0
5
5
0
0
0
0
0
26
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
3
0
0
0
0
0
0
0
5
2
4
6
7
2
3
1
8
29
1
26
25
4
1
1
1
1
0
0
3
0
1
1
0
17
0
0
0
1
1
0
25
16
26
6
1
0
31
21
0
0
3
5
1
0
1
1
0
0
2
1
31
21
0
0
3
4
1
0
1
1
0
0
2
0
31
21
0
0
3
5
1
0
1
1
0
0
2
0
1
0
0
0
0
0
0
27
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
1
0
0
0
0
1
0
0
5
3
5
6
1
1
1
1
31
22
1
30
31
4
1
1
0
1
0
0
10
1
0
0
4
19
0
0
0
0
0
0
2
16
16
16
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
1
0
0
1
1
1
6
1
1
0
1
3
11
1
23
21
4
1
1
0
1
1
0
8
0
1
1
2
11
0
0
0
0
0
0
30
24
26
13
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
18
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
4
1
0
1
1
0
0
0
1
1
1
6
7
1
1
1
12
27
1
26
21
3
1
1
0
1
1
0
4
0
1
1
4
7
0
0
0
0
0
0
2
16
2
15
7
5
31
26
1
6
5
11
12
6
5
6
0
0
2
1
31
26
0
2
2
8
9
4
2
2
0
0
7
5
31
26
1
7
6
10
12
5
5
7
0
0
2
0
6
4
0
0
0
0
0
29
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
1
0
1
1
0
1
0
0
1
1
1
6
7
4
0
1
3
6
1
30
28
4
1
1
0
1
0
0
8
0
1
1
1
15
0
0
0
0
1
1
18
16
20
18
3
2
31
24
1
2
4
7
7
2
3
0
0
0
3
2
31
24
1
2
4
5
5
2
3
0
0
0
3
2
31
24
1
2
4
7
7
2
3
0
0
0
2
0
0
4
0
0
0
0
0
27
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
2
1
1
1
7
4
1
1
5
19
0
28
6
4
1
1
0
1
0
0
11
1
1
1
6
16
0
0
0
0
0
0
16
14
27
27
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
1
1
0
1
0
1
0
0
6
2
5
6
7
4
1
1
6
9
1
23
15
4
1
1
0
1
0
0
4
1
1
1
6
9
0
0
0
0
0
0
2
16
26
15
6
4
31
27
3
6
5
12
13
4
5
7
0
0
6
4
31
27
3
5
5
9
10
4
5
7
0
0
6
4
31
27
3
6
5
12
13
4
5
7
0
0
2
0
7
4
0
0
0
0
0
31
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
1
0
1
0
0
11
4
10
6
1
4
1
1
11
21
1
22
13
4
1
1
0
1
1
0
8
0
1
1
1
14
0
0
0
0
0
0
2
16
24
19
2
2
31
25
0
2
2
10
12
0
1
2
0
0
2
2
31
26
0
2
2
8
9
0
2
2
0
0
2
2
31
25
0
2
2
10
12
0
1
2
0
0
2
0
1
4
0
0
0
0
0
18
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
2
0
0
0
1
0
0
0
0
1
0
6
7
4
1
1
1
19
1
23
9
2
1
1
0
1
0
0
12
0
1
1
1
14
0
0
0
0
0
0
23
11
6
15
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
20
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
5
0
0
0
1
0
0
0
4
4
3
6
7
1
1
1
31
25
1
29
23
2
1
1
0
1
1
1
3
1
0
0
1
19
0
0
0
0
0
0
28
22
27
9
6
2
31
27
14
9
4
16
17
0
5
6
1
2
2
0
31
22
5
2
1
14
13
0
2
2
0
1
5
2
31
29
14
7
3
17
17
0
4
5
0
2
2
0
9
0
0
0
0
0
0
19
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
1
0
0
0
1
0
0
0
6
4
6
6
3
4
1
1
2
7
31
30
11
0
1
0
0
1
0
0
8
0
1
1
6
16
0
0
0
0
0
0
31
16
13
22
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
3
1
0
0
0
0
0
0
2
1
1
1
7
4
3
1
13
12
0
18
30
4
1
1
0
1
0
0
8
0
1
1
4
11
0
0
0
0
0
0
0
16
25
11
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
1
0
0
3
2
3
6
7
4
2
1
11
16
1
25
12
4
1
1
1
1
1
0
8
0
1
1
5
16
0
0
0
0
0
0
10
16
25
16
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
11
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
7
0
0
0
0
1
0
0
0
0
0
6
3
4
3
1
9
9
31
21
16
4
1
0
0
1
1
0
8
0
2
2
4
12
0
0
0
0
0
0
31
18
18
28
2
2
31
26
0
0
6
5
6
2
2
2
0
0
3
2
31
26
0
0
6
4
5
2
2
2
0
0
2
2
31
26
0
0
6
5
6
2
2
2
0
0
2
0
2
4
0
0
0
0
0
13
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
0
0
1
0
0
1
0
1
6
1
2
0
1
4
31
1
26
30
4
1
1
0
1
0
0
17
0
1
1
5
13
1
1
0
1
1
0
2
4
21
10
0
2
31
24
1
0
2
1
7
0
3
0
0
0
0
2
31
24
1
0
2
1
5
0
3
0
0
0
0
2
31
24
1
0
2
1
7
0
3
0
0
0
2
0
0
5
0
0
0
0
0
30
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
2
3
6
7
4
3
1
6
10
1
26
19
4
1
1
0
1
1
0
8
0
1
1
1
8
0
0
0
1
1
1
23
16
12
26
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
13
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
4
0
0
0
0
1
0
0
8
6
7
6
1
4
1
1
5
10
1
18
19
4
1
1
0
1
1
0
0
0
0
0
0
13
0
0
0
0
0
0
2
16
20
9
0
1
31
25
0
0
3
2
4
0
0
0
0
1
0
1
31
25
0
0
3
2
3
0
0
0
0
1
0
1
31
25
0
0
3
2
4
0
0
0
0
1
0
0
0
4
0
0
0
0
0
12
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
1
0
0
0
1
0
0
2
2
2
1
7
4
1
1
4
25
1
30
15
4
1
1
1
1
0
0
3
0
2
2
5
11
0
0
0
0
0
0
6
12
18
3
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
28
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
1
0
0
1
0
1
0
0
5
2
3
5
7
2
1
4
4
9
1
19
19
4
1
1
0
1
0
0
12
0
2
2
5
16
0
0
0
0
0
0
18
16
11
23
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
10
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
1
0
0
0
1
1
0
0
0
1
0
6
3
4
1
1
13
8
31
24
20
5
1
0
0
1
0
0
8
0
1
1
6
12
0
0
0
0
0
0
31
16
5
23
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
29
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
1
0
0
2
1
2
6
3
4
3
1
8
5
31
27
14
4
1
0
0
1
1
1
8
0
1
1
1
9
0
0
0
0
0
0
31
16
19
8
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
23
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
2
0
0
0
0
0
0
0
6
3
5
6
7
4
5
1
3
23
1
25
17
4
1
1
0
1
0
0
3
0
1
1
4
15
0
0
0
0
1
1
15
14
22
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
22
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
1
0
1
0
1
1
0
0
1
0
1
6
1
4
5
1
20
4
0
26
12
2
1
1
1
1
1
0
10
0
0
0
1
16
0
0
0
0
0
0
8
16
24
26
2
2
31
24
1
0
4
5
7
2
3
3
0
0
2
2
31
24
1
0
4
4
5
2
3
3
0
0
2
2
31
24
1
0
4
5
7
2
3
3
0
0
2
0
1
5
0
0
0
0
0
27
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
1
3
1
6
1
4
2
1
4
22
1
31
29
4
1
1
0
1
0
1
3
0
2
2
0
15
0
0
0
0
0
0
20
16
21
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
20
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
6
0
0
1
1
0
0
0
3
3
3
6
7
4
1
1
10
15
1
22
30
3
1
1
1
1
0
0
16
0
1
1
4
15
0
0
0
0
0
0
2
16
23
11
9
5
31
27
3
8
7
12
13
4
3
9
0
0
9
6
31
27
3
7
7
9
10
4
3
10
0
0
9
5
31
27
3
8
7
12
13
4
3
9
0
0
2
0
9
4
0
0
0
0
0
21
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
3
0
0
0
0
0
0
0
5
3
5
6
7
4
1
1
4
12
1
29
23
4
1
1
1
1
0
0
14
1
1
1
4
19
0
0
0
0
0
0
23
16
25
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
28
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
2
0
1
2
1
6
7
4
1
1
8
23
1
28
16
4
1
1
0
1
0
0
10
3
1
1
1
16
0
0
0
0
1
1
19
16
8
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
29
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
2
0
0
0
0
1
1
0
6
3
5
6
7
4
1
1
2
18
1
29
12
4
1
1
1
1
0
0
8
2
1
1
6
10
0
0
0
0
0
0
15
16
17
18
0
0
30
18
0
0
0
0
1
0
0
0
0
0
0
0
30
18
0
0
0
0
1
0
0
0
0
0
0
0
30
18
0
0
0
0
1
0
0
0
0
0
0
2
0
6
1
0
0
0
0
23
0
1
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
0
0
3
3
3
6
1
4
1
1
4
24
1
28
31
4
1
1
0
1
0
0
14
1
1
1
6
15
0
0
0
0
1
1
2
20
24
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
1
0
0
1
0
1
0
0
5
3
5
6
7
1
3
1
3
27
1
20
19
4
1
1
0
1
1
0
8
0
1
1
5
13
0
0
0
0
0
0
23
16
18
20
4
1
31
26
1
2
2
10
1
3
3
5
0
0
4
1
31
26
1
2
2
8
1
3
3
5
0
0
4
1
31
26
1
2
2
10
1
3
3
5
0
0
2
0
5
5
0
0
0
0
0
24
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
2
0
1
0
0
1
0
0
0
0
0
6
1
1
3
1
20
31
1
27
29
4
1
1
1
1
0
0
14
0
0
0
5
11
0
0
0
0
0
0
25
9
16
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
27
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
4
2
3
6
3
4
2
1
8
8
31
27
13
4
1
0
0
1
0
0
8
0
1
1
1
14
0
0
0
0
0
0
31
16
20
11
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
28
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
1
0
0
2
1
2
6
3
4
2
1
4
7
31
23
11
4
1
0
0
1
0
0
8
0
1
1
1
9
0
0
0
0
0
0
31
16
20
27
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
29
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
1
1
0
5
2
4
6
1
4
0
1
8
20
1
30
13
4
1
1
0
1
0
0
3
2
1
1
5
10
0
0
0
1
1
0
15
9
13
19
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
4
0
0
0
0
0
0
0
2
1
1
6
7
4
0
1
2
18
1
28
14
4
1
1
0
1
0
0
8
1
1
1
2
13
0
0
0
0
1
1
23
12
20
19
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
21
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
4
0
0
0
1
1
0
0
1
1
1
6
3
4
1
1
2
5
31
16
14
1
1
0
0
1
0
0
8
0
1
1
2
11
0
0
0
0
0
0
31
16
1
24
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
2
0
0
0
0
1
0
0
6
5
5
6
4
1
1
1
8
18
1
31
30
4
1
1
0
1
0
1
10
0
1
1
5
7
0
0
0
0
0
0
21
20
21
15
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
19
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
3
0
0
0
0
0
0
0
4
1
3
6
1
4
1
1
2
12
1
26
24
4
1
1
0
1
0
0
14
0
1
1
6
6
0
0
0
0
0
0
28
16
20
10
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
1
1
0
0
0
4
4
3
1
1
1
1
1
15
13
1
22
25
2
1
1
1
1
0
0
10
1
1
1
0
19
0
0
0
0
0
0
11
16
27
21
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
20
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
2
0
0
0
0
1
0
0
1
1
1
6
7
4
0
5
7
23
1
24
20
4
1
1
0
1
0
0
11
0
2
2
1
8
0
0
0
0
0
0
16
11
21
18
2
0
31
24
1
0
6
5
7
3
3
2
0
4
2
0
31
24
1
0
6
4
5
3
3
2
0
5
2
0
31
24
1
0
6
5
7
3
3
2
0
4
2
0
3
4
0
0
0
0
0
18
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
2
0
1
0
0
1
0
0
0
0
0
6
3
4
1
1
13
4
31
30
11
4
1
0
0
1
1
0
8
0
1
1
5
9
0
0
0
0
0
0
31
16
9
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
23
0
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
0
1
0
6
7
4
1
5
7
27
1
26
29
4
1
1
0
1
0
0
14
1
2
2
0
10
0
0
0
1
1
0
2
7
21
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
1
0
0
1
0
1
0
0
7
6
6
6
7
4
1
1
4
19
1
30
10
4
1
1
1
1
1
1
14
0
1
1
4
11
0
0
0
0
1
1
2
14
17
28
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
2
0
0
1
1
0
0
0
5
4
4
6
1
4
1
1
15
12
1
23
25
10
1
1
0
1
0
0
4
0
1
1
6
13
0
0
0
0
0
0
30
11
20
8
3
2
31
24
1
2
4
7
7
2
3
2
0
0
3
2
31
24
1
2
4
5
5
2
3
2
0
0
3
2
31
24
1
2
4
7
7
2
3
2
0
0
2
0
1
4
0
0
0
0
0
27
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
4
0
1
0
0
1
0
0
0
0
0
6
7
4
1
1
0
15
1
29
30
4
1
1
0
1
0
0
8
0
2
2
5
10
0
0
0
0
0
0
3
16
22
27
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
20
0
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
0
0
1
0
0
0
1
0
6
1
1
0
5
7
24
1
30
21
4
1
1
0
1
0
1
5
1
2
2
5
10
0
0
0
0
0
0
2
12
10
18
5
2
31
24
1
2
1
10
7
2
3
2
0
0
5
2
31
24
1
2
1
8
5
2
3
2
0
0
5
2
31
24
1
2
1
10
7
2
3
2
0
0
2
0
2
5
0
0
0
0
0
25
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
8
1
0
0
0
0
0
0
1
2
1
6
7
4
1
1
5
24
1
24
17
4
1
1
0
1
1
0
8
0
1
1
2
12
0
0
0
0
0
0
28
15
23
21
4
3
31
26
1
0
8
5
6
4
3
4
0
0
4
3
31
26
1
0
8
4
5
4
3
4
0
0
4
3
31
26
1
0
8
5
6
4
3
4
0
0
2
0
3
5
0
0
0
0
0
31
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
1
0
0
0
1
0
0
0
1
2
1
6
7
1
3
1
0
22
1
28
30
5
1
1
1
1
1
0
6
0
1
1
5
5
0
0
0
0
0
0
17
15
26
16
1
2
31
20
0
0
3
4
1
0
1
1
0
0
1
2
31
20
0
0
3
3
1
0
1
1
0
0
1
2
31
20
0
0
3
4
1
0
1
1
0
0
2
0
1
4
0
0
0
0
0
26
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
2
0
0
1
1
1
0
0
2
3
1
1
4
1
3
1
6
25
1
25
18
4
1
1
0
1
0
0
10
0
1
1
5
5
0
0
0
0
1
1
28
16
24
19
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
28
0
0
0
0
0
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
0
6
2
5
6
3
4
1
1
8
8
31
15
15
3
1
0
0
1
0
0
8
0
1
1
5
10
0
0
0
0
0
0
31
16
29
19
3
2
31
24
1
3
3
10
12
1
2
3
0
0
3
2
31
24
1
3
3
8
9
1
3
3
0
0
3
2
31
24
1
3
3
10
12
1
2
3
0
0
2
0
3
4
0
0
0
0
0
25
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
3
0
1
1
1
1
0
0
1
0
1
6
7
4
1
1
4
22
1
28
12
0
1
1
0
1
0
0
8
1
1
1
2
14
0
0
0
0
0
0
23
16
23
20
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
21
0
0
0
0
0
0
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
6
3
5
6
1
4
5
1
5
14
1
17
28
4
1
1
0
1
0
0
8
0
1
1
3
13
0
0
0
0
0
0
2
16
24
27
3
0
31
21
0
0
6
5
6
2
3
3
0
0
4
0
31
21
0
0
6
4
5
2
3
3
0
0
3
0
31
21
0
0
6
5
6
2
3
3
0
0
0
0
2
4
0
0
0
0
0
19
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
1
0
0
6
3
5
6
1
4
1
1
1
16
1
21
13
4
1
1
0
1
0
0
8
0
2
2
6
16
0
0
0
0
1
1
2
16
17
22
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
19
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
1
0
0
3
2
2
6
3
1
1
1
7
6
31
30
9
4
1
0
0
1
0
0
8
0
1
1
4
15
0
0
0
0
0
0
31
25
14
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
28
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
1
0
0
0
0
1
0
0
3
2
3
6
7
4
1
1
7
21
1
27
28
4
1
1
1
1
1
0
8
1
2
2
2
13
0
0
0
1
1
0
23
9
12
5
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
23
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
1
1
0
2
0
5
4
5
6
7
1
1
1
3
19
1
26
25
3
1
1
1
1
0
0
8
3
1
1
0
8
0
0
0
0
0
0
23
16
19
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
25
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
0
1
0
0
2
2
2
6
7
4
1
1
8
10
0
16
17
4
1
1
0
1
0
0
3
0
1
1
6
17
0
0
0
0
0
0
21
16
21
4
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
29
0
0
0
0
0
0
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
6
3
5
1
7
1
1
1
4
24
1
30
22
4
1
1
0
1
0
0
1
0
1
1
1
10
0
0
0
0
1
1
2
17
17
8
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
18
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
1
1
0
1
0
1
1
0
3
4
3
6
7
4
1
1
4
21
1
30
26
4
1
1
1
1
1
0
16
2
1
1
2
9
0
0
0
0
1
1
2
16
19
6
0
0
31
20
0
0
0
0
1
0
0
0
0
0
0
0
31
21
0
0
0
0
1
0
0
0
0
0
0
0
31
20
0
0
0
0
1
0
0
0
0
0
2
0
0
6
0
0
0
0
0
26
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
1
1
1
0
0
5
3
4
6
7
4
1
1
8
19
1
21
12
5
1
1
0
1
0
0
4
0
1
1
4
17
0
0
0
0
0
0
23
16
22
24
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
4
0
0
0
0
0
0
0
1
1
1
6
3
4
3
1
6
1
31
24
10
4
1
0
0
1
1
0
8
0
1
1
5
9
0
0
0
0
0
0
31
16
11
21
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
1
1
0
0
0
4
2
4
1
7
4
0
1
3
26
1
25
18
7
1
1
1
1
1
0
1
0
1
1
0
12
0
0
0
0
0
0
23
16
21
12
4
3
31
24
1
5
4
10
7
0
3
5
0
0
4
3
31
24
1
4
4
8
5
0
3
5
0
0
4
3
31
24
1
5
4
10
7
0
3
5
0
0
2
0
5
5
0
0
0
0
0
22
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
0
3
3
2
6
7
1
1
1
31
8
1
30
30
4
1
1
0
1
0
0
8
0
0
0
4
10
0
0
0
0
0
0
2
27
20
7
6
2
31
25
3
7
3
21
0
0
5
6
0
0
6
2
31
25
3
6
3
17
0
0
5
7
0
0
6
2
31
25
3
7
3
21
0
0
5
6
0
0
2
0
5
4
0
0
0
0
0
29
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
1
0
0
0
0
0
0
0
1
1
1
6
7
4
1
1
11
10
1
20
19
4
1
1
1
1
1
0
8
0
1
1
1
14
0
0
0
0
0
0
16
16
6
10
2
2
31
22
1
0
6
5
6
2
2
2
0
0
2
3
31
23
1
0
6
4
5
2
2
2
0
0
2
2
31
22
1
0
6
5
6
2
2
2
0
0
2
0
2
4
0
0
0
0
0
19
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
1
1
1
0
0
11
9
10
6
1
4
1
1
3
19
1
31
31
4
1
1
0
1
0
0
8
0
2
2
2
6
0
0
0
0
0
0
2
6
12
18
1
2
31
24
1
0
3
5
7
2
3
1
0
0
2
2
31
24
1
0
3
4
5
2
3
2
0
0
2
2
31
24
1
0
3
5
7
2
3
1
0
0
2
0
2
5
0
0
0
0
0
28
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
2
0
0
1
0
0
0
0
0
1
0
6
4
4
3
1
2
28
1
19
22
4
1
1
1
1
0
0
6
0
1
1
6
9
0
0
0
1
1
0
23
4
12
8
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
18
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
0
0
0
1
0
0
8
4
9
1
7
4
1
1
11
17
1
20
10
4
1
1
0
1
1
0
10
1
1
1
1
16
0
0
0
0
0
0
23
19
25
24
1
2
30
24
1
0
4
4
7
2
3
1
0
0
1
2
30
24
1
0
4
3
5
2
3
1
0
0
1
2
30
24
1
0
4
4
7
2
3
1
0
0
2
0
1
5
0
1
0
1
0
20
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
6
0
0
1
1
1
0
0
0
0
0
6
7
4
1
1
13
10
1
28
19
6
1
1
0
1
0
0
8
0
1
1
1
16
0
0
0
0
0
0
8
16
7
14
1
1
31
21
1
0
4
5
1
1
1
1
0
0
2
1
31
22
1
0
4
4
1
1
1
1
0
0
2
1
31
22
1
0
4
5
1
1
1
1
0
0
2
0
2
4
0
0
0
0
0
27
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
5
0
0
1
1
1
0
0
9
5
6
6
7
4
1
1
3
13
1
18
26
2
1
1
0
1
0
0
4
0
1
1
5
16
0
0
0
0
0
0
23
16
28
26
1
2
30
24
1
2
2
4
7
2
3
0
0
0
1
2
30
24
1
2
2
3
5
2
3
0
0
0
1
2
30
24
1
2
2
4
7
2
3
0
0
0
2
0
0
5
0
0
0
0
0
20
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
7
0
0
0
1
1
0
0
5
4
5
1
3
4
1
1
6
6
31
24
14
0
1
0
0
1
0
0
8
0
1
1
5
7
0
0
0
0
0
0
31
16
24
18
5
2
31
27
1
2
2
10
12
2
4
3
0
0
5
2
31
27
1
2
2
8
9
2
4
3
0
0
5
2
31
27
1
2
2
10
12
2
4
3
0
0
2
0
2
4
0
0
0
0
0
17
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
2
0
0
1
1
0
0
0
5
3
4
6
3
4
1
2
2
9
31
26
16
7
1
0
0
1
0
0
8
0
2
2
5
11
0
0
0
0
0
0
31
16
24
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
16
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
1
1
0
0
0
1
0
0
3
3
3
6
7
4
1
1
4
28
1
31
30
4
1
1
0
1
1
0
14
1
2
2
6
12
0
0
0
0
1
1
2
16
20
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
30
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
1
0
0
0
1
1
0
0
2
1
1
6
7
3
5
1
15
12
1
22
24
1
1
1
0
1
0
0
8
0
1
1
4
9
0
0
0
0
0
0
2
16
9
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
1
0
0
1
1
0
0
0
3
3
3
5
7
4
3
1
0
19
1
25
11
0
1
1
0
1
0
0
4
0
2
2
1
15
0
0
0
1
1
0
2
16
10
9
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
2
0
0
0
0
0
0
0
3
2
3
6
3
4
1
1
0
6
31
30
22
4
1
0
0
1
0
0
8
0
2
2
5
7
0
0
0
0
0
0
31
16
10
26
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
25
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
1
0
0
0
1
1
0
0
4
4
3
6
1
4
1
1
20
17
1
28
24
2
1
1
1
1
0
0
14
0
0
0
6
12
0
0
0
0
1
1
2
16
24
27
6
2
31
30
3
10
4
17
16
0
5
5
1
1
6
2
31
30
3
8
4
14
13
0
5
6
1
1
6
2
31
30
3
10
4
17
16
0
5
5
1
1
2
0
6
4
0
0
0
0
0
28
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
1
0
1
0
0
11
6
10
6
1
4
1
1
31
14
1
28
29
4
1
1
0
1
1
1
8
0
0
0
5
17
0
0
0
1
0
0
2
23
27
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
19
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
0
0
1
1
0
0
0
1
0
6
7
4
2
1
7
11
1
20
20
4
1
1
0
1
1
0
8
0
1
1
1
19
0
0
0
0
0
0
2
26
25
21
5
0
31
26
1
5
4
12
7
4
4
5
0
0
5
0
31
26
1
4
4
9
5
4
4
5
0
0
5
0
31
26
1
5
4
12
7
4
4
5
0
0
2
0
4
4
0
0
0
0
0
13
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
1
0
0
1
1
0
0
0
1
2
1
6
1
4
1
1
4
28
1
28
22
22
1
1
0
1
0
1
8
0
1
1
6
12
0
0
0
1
1
0
2
22
26
14
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
5
0
0
1
1
0
0
0
3
2
3
6
7
4
1
1
1
25
1
25
19
12
1
1
0
1
0
0
8
0
2
2
1
15
0
1
1
0
1
1
7
16
10
19
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
1
0
0
1
0
0
0
0
1
2
1
6
7
1
2
1
13
26
1
25
17
4
1
1
1
1
1
1
8
0
1
1
6
16
0
0
0
0
0
0
23
16
10
25
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
27
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
1
0
1
1
1
0
0
0
1
1
1
6
7
4
0
1
8
14
1
22
27
0
1
1
0
1
0
0
4
0
1
1
6
9
0
0
0
0
0
0
30
16
22
18
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
27
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
1
1
1
2
0
8
5
8
6
3
4
1
2
1
20
31
27
12
5
1
0
0
1
1
1
8
3
1
1
6
4
0
0
0
1
0
0
31
24
23
24
2
3
31
24
1
0
5
5
7
0
3
2
0
0
2
3
31
24
1
0
5
4
5
0
3
2
0
0
2
3
31
24
1
0
5
5
7
0
3
2
0
0
2
0
1
0
0
0
0
0
0
28
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
1
0
1
0
0
1
0
1
6
7
2
1
1
12
27
1
26
19
4
1
1
0
1
1
0
14
0
1
1
0
8
0
0
0
1
1
0
2
16
11
14
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
1
2
1
6
3
1
5
1
15
1
31
14
13
4
1
0
0
1
0
0
8
0
1
1
4
11
0
0
0
0
0
0
31
16
25
29
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
0
3
5
3
4
7
4
1
1
3
17
1
31
16
4
1
1
0
1
0
0
14
0
1
1
6
10
0
0
0
0
0
0
23
14
17
21
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
31
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
2
0
0
0
0
1
0
0
7
3
5
6
7
4
1
1
2
17
1
30
8
4
1
1
0
1
0
0
14
0
1
1
4
12
0
0
0
0
0
0
2
16
8
21
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
27
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
1
0
0
2
3
2
6
1
4
1
1
8
28
1
31
29
4
1
1
0
1
0
0
0
0
1
1
5
15
0
0
0
0
0
0
23
16
26
21
2
2
31
21
0
0
2
5
6
1
2
1
0
1
2
3
31
21
0
0
2
4
5
1
2
1
0
1
2
2
31
21
0
0
2
5
6
1
2
1
0
1
2
0
2
5
0
0
0
0
0
24
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
0
1
0
0
1
1
1
6
4
1
1
1
5
19
1
21
27
4
1
1
0
1
0
0
3
0
0
0
2
14
0
1
1
0
0
0
23
12
23
16
2
1
31
23
1
2
2
10
12
2
1
2
0
0
2
1
31
23
1
2
2
8
9
2
2
2
0
0
2
1
31
23
1
2
2
10
12
2
1
2
0
0
2
0
2
4
0
0
0
0
0
27
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
1
0
1
1
0
0
0
1
1
1
6
7
4
3
1
12
27
1
28
20
2
1
1
0
1
0
0
8
0
1
1
2
11
1
1
0
1
1
0
2
16
20
19
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
22
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
1
0
0
5
5
5
6
7
1
1
1
14
14
0
30
27
4
1
1
0
1
0
0
8
0
0
0
2
14
0
0
0
0
0
0
6
16
22
14
5
0
31
24
0
4
7
7
10
3
4
4
0
0
5
0
31
22
0
0
8
4
5
1
4
3
0
0
5
0
31
24
0
3
8
5
10
3
4
4
0
0
2
0
3
4
0
0
0
0
0
28
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
2
0
0
0
1
0
0
0
4
2
4
6
7
4
3
1
15
25
1
29
18
1
1
1
0
1
0
0
14
0
1
1
5
18
0
0
0
0
0
0
2
16
24
11
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
29
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
2
0
1
1
0
0
0
0
1
0
1
6
1
4
1
2
1
14
1
19
29
4
1
1
0
1
0
0
10
0
1
1
0
7
0
0
0
0
0
0
16
16
22
24
1
1
31
24
1
0
2
8
7
2
3
1
0
0
0
1
31
24
1
0
1
4
5
2
3
1
0
0
1
1
31
24
1
0
1
8
7
2
3
1
0
0
2
0
1
0
0
0
0
0
0
21
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
3
0
0
0
1
1
0
0
6
3
5
6
1
1
1
1
4
13
0
26
25
0
1
1
0
1
0
0
8
0
1
1
6
17
0
0
0
0
0
0
19
16
28
8
4
2
31
24
1
0
2
5
7
0
3
2
0
0
4
3
31
24
1
0
2
4
5
0
3
2
0
0
4
2
31
24
1
0
2
5
7
0
3
2
0
0
2
0
2
5
0
0
0
0
0
28
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
1
0
0
1
1
1
0
0
3
2
3
6
7
4
1
4
3
24
1
24
25
5
1
1
0
1
0
0
4
1
1
1
0
10
0
0
0
1
1
0
23
16
24
16
3
2
31
24
1
2
4
7
7
2
3
3
0
0
3
2
31
24
1
2
4
5
5
2
3
3
0
0
3
2
31
24
1
2
4
7
7
2
3
3
0
0
2
0
3
4
0
0
0
0
0
26
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
2