Datasets:
jlh
/
home-credit-synthetic-example

Dataset card Viewer Files Community
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
1
1
0
0
10
6
9
6
7
4
3
1
9
12
0
22
23
0
1
1
0
1
0
0
3
0
2
0
6
13
0
0
0
0
0
0
15
16
19
19
2
0
31
24
1
2
2
10
7
0
3
2
0
0
2
0
31
24
1
2
2
8
5
0
3
2
0
0
2
0
31
24
1
2
2
10
7
0
3
2
0
0
2
0
1
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
0
1
0
0
0
0
10
6
10
6
1
4
1
1
8
6
1
31
10
4
1
1
1
1
0
0
4
0
1
1
4
13
0
0
0
0
1
1
18
21
26
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
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
1
0
0
0
0
4
2
3
6
4
4
3
1
10
18
0
21
14
4
1
1
0
1
0
1
10
0
1
1
6
15
0
0
0
0
0
0
23
13
21
25
2
1
31
25
1
2
2
10
1
1
1
2
0
0
2
1
31
25
1
2
2
8
1
1
2
2
0
0
2
1
31
25
1
2
2
10
1
1
1
2
0
0
2
0
2
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
3
0
0
0
0
1
0
0
7
5
6
1
7
4
0
1
3
13
1
18
26
4
1
1
0
1
0
0
8
0
1
1
3
17
0
0
0
0
0
0
2
16
2
18
4
3
31
22
0
0
8
5
1
1
3
2
0
0
4
3
31
22
0
0
8
4
1
1
3
2
0
0
4
3
31
22
0
0
8
5
1
1
3
2
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
0
0
0
1
0
0
5
6
5
6
4
4
0
1
14
13
1
24
26
4
1
1
0
1
0
0
11
0
0
0
6
18
0
0
0
0
0
0
16
16
21
24
4
3
31
21
0
2
6
6
7
3
3
3
0
0
3
2
31
21
0
0
5
4
5
2
2
2
0
0
3
2
31
21
0
0
5
5
6
2
2
2
0
0
2
0
5
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
2
0
0
1
1
0
0
0
1
2
1
4
1
4
3
1
13
25
1
30
17
11
1
1
0
1
0
0
8
0
1
1
5
15
0
0
0
1
0
1
2
5
8
16
7
6
31
21
2
0
15
5
1
2
6
6
0
0
7
6
31
21
2
0
14
4
1
2
6
6
0
0
7
6
31
21
2
0
15
5
1
2
6
6
0
0
2
0
6
4
0
0
0
0
0
31
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
1
0
0
0
0
0
1
1
1
6
3
4
3
1
8
7
31
19
11
4
1
0
0
1
0
0
8
0
1
1
4
18
0
0
0
0
0
0
31
16
28
6
3
4
31
26
2
0
6
5
1
4
3
4
0
0
4
4
31
26
2
0
6
4
1
4
3
4
0
0
3
4
31
26
2
0
6
5
1
4
3
4
0
0
2
0
4
4
0
0
0
0
1
20
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
2
0
0
1
1
1
0
0
7
7
6
6
3
4
1
1
13
7
31
22
11
1
1
0
0
1
0
1
8
0
1
1
0
14
0
0
0
0
0
0
31
26
29
22
0
0
30
18
0
0
4
2
4
0
0
0
0
1
0
0
30
18
0
0
4
2
3
0
0
1
0
1
0
0
30
18
0
0
4
2
4
0
0
0
0
1
2
0
1
5
0
0
0
0
0
26
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
1
0
1
0
0
0
0
2
1
1
5
1
2
1
1
9
11
1
31
29
4
1
1
0
1
0
0
8
0
1
1
1
9
0
0
0
0
0
0
1
16
19
26
1
1
31
23
0
1
1
10
1
2
1
1
0
0
1
1
31
23
0
1
1
8
1
2
1
1
0
0
1
1
31
23
0
1
1
10
1
2
1
1
0
0
2
0
1
5
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
1
1
0
0
0
6
3
5
6
3
4
1
1
4
3
31
27
13
2
1
0
0
1
1
0
8
0
1
1
2
14
0
0
0
0
0
0
31
16
12
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
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
1
0
1
0
1
0
0
7
3
6
1
1
4
1
1
11
19
1
21
14
4
1
1
0
1
0
0
8
1
1
1
2
9
0
0
0
0
1
1
13
16
3
5
2
2
31
24
0
0
4
5
1
0
1
1
0
0
2
2
31
25
0
0
4
4
1
0
2
1
0
0
2
2
31
24
0
0
4
5
1
0
1
1
0
0
1
0
1
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
1
0
5
0
0
1
0
1
0
0
2
1
2
6
1
4
1
1
3
22
1
31
22
4
1
1
0
1
1
0
8
1
1
1
2
12
1
1
0
1
1
1
25
7
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
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
6
0
1
1
1
1
0
0
1
0
1
6
1
4
1
1
3
8
1
31
15
4
1
1
0
1
0
0
4
0
2
2
1
12
0
0
0
0
0
0
2
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
0
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
0
1
0
0
0
12
5
12
6
4
1
1
1
5
24
1
25
25
1
1
1
0
1
0
1
3
0
1
1
6
18
0
0
0
0
0
0
6
16
23
22
3
0
31
22
0
0
6
5
6
2
2
2
0
0
3
0
31
23
0
0
6
4
5
2
2
3
0
0
3
0
31
22
0
0
6
5
6
2
2
2
0
0
0
0
2
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
3
0
0
0
0
0
2
0
1
1
1
6
7
4
0
2
3
21
1
22
12
4
1
1
0
1
0
0
3
3
2
2
5
6
0
0
0
0
0
0
6
16
0
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
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
1
0
0
0
15
6
14
2
7
4
1
1
4
15
1
26
31
2
1
1
0
1
0
0
4
0
1
1
5
15
0
0
0
0
1
1
23
21
3
19
3
2
31
24
1
2
4
0
7
2
3
3
0
0
3
2
31
24
1
2
4
0
5
2
3
3
0
0
3
2
31
24
1
2
4
0
7
2
3
3
0
0
2
0
0
1
1
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
8
5
6
5
7
4
1
1
3
25
1
30
15
3
1
1
0
1
0
0
6
1
1
1
5
14
0
0
0
0
0
0
14
16
4
21
0
2
30
24
1
2
1
1
7
2
3
0
0
0
0
2
30
24
1
2
1
1
5
2
3
0
0
0
0
2
30
24
1
2
1
1
7
2
3
0
0
0
2
0
0
6
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
2
0
0
0
0
1
0
0
1
2
1
2
1
4
1
1
7
18
0
24
30
4
1
1
0
1
0
0
10
0
1
1
3
13
0
0
0
0
1
1
23
23
23
8
6
0
31
20
0
0
1
5
6
2
4
2
0
0
6
0
31
21
0
0
1
4
5
2
5
3
0
0
6
0
31
21
0
0
1
5
6
2
5
2
0
0
2
0
2
5
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
0
1
0
0
1
1
1
6
3
1
3
1
7
17
31
25
10
4
1
0
0
1
0
0
8
0
2
2
5
8
0
0
0
0
0
0
31
16
24
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
17
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
4
0
0
0
0
1
0
0
6
2
5
6
3
1
2
1
7
7
31
25
11
4
1
0
0
1
0
0
8
0
2
2
0
11
0
0
0
0
0
0
31
24
17
14
1
2
31
22
0
0
2
5
1
0
0
1
0
0
1
2
31
22
0
0
2
4
1
0
0
1
0
1
1
2
31
22
0
0
2
5
1
0
0
1
0
0
3
0
1
5
0
0
0
0
1
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
2
0
0
1
1
1
0
0
5
3
5
6
7
1
1
1
6
25
1
31
27
7
1
1
0
1
0
0
8
0
1
1
6
6
0
0
0
0
0
0
0
6
24
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
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
2
0
0
1
1
1
0
0
0
1
0
6
1
1
3
1
15
26
1
28
27
8
1
1
0
1
1
0
8
0
1
1
0
15
0
0
0
1
1
1
2
14
26
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
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
1
0
0
0
1
0
1
3
4
5
1
13
3
31
31
11
4
1
0
0
1
0
0
8
0
1
1
2
14
0
0
0
0
0
0
31
16
21
26
1
1
31
30
0
0
2
5
6
0
1
0
0
0
1
1
31
30
0
0
2
4
5
0
1
0
0
0
1
1
31
30
0
0
2
5
6
0
1
0
0
0
2
0
0
5
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
0
1
0
0
1
3
1
6
1
4
3
1
20
27
1
26
23
4
1
1
1
1
0
0
9
0
0
0
2
10
0
0
0
0
1
1
2
13
10
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
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
1
0
0
1
1
1
0
0
5
3
5
6
7
4
0
1
11
15
1
29
31
9
1
1
1
1
1
0
9
0
1
1
5
10
0
0
0
0
1
1
23
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
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
1
0
0
0
3
1
3
6
4
4
1
3
15
11
1
25
21
3
1
1
1
1
0
0
11
1
1
1
2
11
0
0
0
0
0
0
6
12
26
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
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
3
0
1
0
0
1
0
0
2
1
2
6
1
4
3
1
14
30
1
27
27
4
1
1
0
1
0
0
0
0
0
0
5
14
0
0
0
0
0
0
2
16
9
13
3
0
29
3
0
7
7
8
9
1
2
4
1
1
3
0
29
4
0
6
7
6
7
1
2
4
1
1
3
0
29
3
0
7
7
8
9
1
2
4
1
1
0
0
4
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
2
0
0
0
0
1
0
0
6
2
5
6
7
4
1
1
2
15
1
29
31
4
1
1
0
1
0
0
14
0
2
2
0
14
0
0
0
0
1
1
18
16
4
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
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
8
0
0
0
0
1
0
0
2
2
1
6
7
4
3
1
4
16
1
24
11
4
1
1
0
1
0
1
1
0
1
1
0
9
0
0
0
0
0
0
15
16
21
12
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
2
1
0
0
1
1
0
0
2
1
1
6
4
4
1
1
13
21
1
22
13
3
1
1
0
1
0
0
11
1
1
1
1
11
0
0
0
0
0
0
16
16
25
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
11
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
1
0
0
3
2
3
6
7
4
1
1
13
12
1
26
24
4
1
1
0
1
0
0
14
0
1
1
4
15
0
0
0
0
0
0
2
16
24
7
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
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
1
1
0
1
1
1
1
0
5
6
5
6
7
1
1
3
12
19
1
30
9
1
1
1
0
1
0
0
4
2
1
1
6
13
0
0
0
0
1
1
6
21
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
1
0
1
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
0
0
0
0
1
0
0
1
1
1
6
7
4
1
1
12
10
1
20
18
4
1
1
0
1
0
0
1
0
1
1
2
8
0
0
0
0
0
0
15
16
19
6
4
2
31
26
0
1
1
10
1
0
3
1
0
0
4
2
31
26
0
1
1
8
1
0
4
1
0
0
4
2
31
26
0
1
1
10
1
0
3
1
0
0
2
0
31
5
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
6
0
0
1
1
1
0
0
0
1
0
6
7
4
1
1
2
14
1
26
28
1
1
1
1
1
0
0
8
1
1
1
5
14
0
0
0
0
1
1
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
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
6
0
0
0
0
0
0
0
0
1
0
6
1
4
0
1
8
12
1
29
22
4
1
1
0
1
0
0
8
0
1
1
1
15
0
0
0
0
0
0
18
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
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
1
0
0
8
5
7
6
3
4
1
1
5
4
31
19
10
4
1
0
0
1
0
0
8
0
0
0
6
18
0
0
0
0
0
0
31
16
23
30
3
2
31
26
1
0
3
5
1
2
3
1
0
0
3
2
31
26
1
0
3
4
1
2
3
1
0
0
3
2
31
26
1
0
3
5
1
2
3
1
0
0
3
0
1
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
1
0
1
0
0
0
0
1
1
2
2
1
4
3
5
6
29
1
23
25
4
1
1
0
1
0
0
8
0
1
1
5
12
0
0
0
0
1
1
1
5
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
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
0
1
2
0
5
3
4
6
7
4
0
1
15
15
1
29
31
4
1
1
0
1
0
0
10
3
1
1
0
16
0
0
0
0
0
0
23
16
20
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
1
0
0
1
1
0
0
0
1
3
1
6
7
4
1
1
2
14
0
27
29
22
1
1
0
1
0
0
8
1
2
2
2
6
0
0
0
0
1
1
29
16
12
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
0
0
1
0
0
0
0
0
1
1
1
6
4
2
1
1
15
16
1
28
14
4
1
1
0
1
0
0
3
1
1
1
5
11
0
0
0
0
0
0
16
16
26
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
18
0
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
0
1
0
1
0
0
5
4
5
1
7
4
1
1
3
18
1
24
19
4
1
1
1
1
1
0
8
1
1
1
1
10
0
1
1
0
1
1
3
16
14
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
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
1
0
0
0
0
1
0
0
5
3
5
1
3
4
1
1
6
4
31
16
11
4
1
0
0
1
0
0
8
0
1
1
1
13
0
0
0
0
0
0
31
16
22
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
15
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
5
2
5
1
7
4
5
2
10
13
1
22
25
4
1
1
0
1
1
0
1
0
1
1
5
16
0
0
0
0
0
0
21
16
23
21
1
3
31
20
2
0
4
5
6
2
1
2
0
0
2
3
31
20
2
0
4
4
5
2
1
2
0
0
2
3
31
20
2
0
4
5
6
2
1
2
0
0
2
0
3
5
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
1
0
0
1
1
1
1
0
3
6
3
6
7
1
1
1
2
21
1
30
11
0
1
1
0
1
1
1
3
2
1
1
5
10
0
0
0
0
0
0
17
6
28
12
4
2
31
24
1
7
6
10
7
2
3
4
0
0
3
2
31
24
1
5
5
8
5
2
3
4
0
0
4
2
31
24
1
7
6
10
7
2
3
4
0
0
2
0
3
0
0
0
0
0
0
30
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
1
0
0
0
1
1
1
0
14
7
14
6
7
1
1
1
2
19
1
31
9
5
1
1
0
1
0
1
0
2
1
1
0
10
0
0
0
0
0
0
2
20
20
8
5
4
31
25
1
6
5
10
12
0
4
6
0
0
6
4
31
26
1
5
5
8
9
0
5
6
0
0
6
4
31
25
1
6
5
10
12
0
4
6
0
0
2
0
5
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
1
0
0
0
0
1
0
0
1
2
1
6
4
4
1
1
6
12
1
19
22
4
1
1
0
1
0
0
10
0
1
1
5
9
0
0
0
0
0
0
15
16
23
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
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
0
0
0
0
0
0
0
6
4
6
6
7
1
3
1
8
26
1
18
25
4
1
1
1
1
1
0
3
0
1
1
0
12
0
0
0
0
0
0
23
26
28
23
2
2
31
25
0
7
6
5
6
0
2
2
0
0
2
2
31
25
0
6
6
4
5
0
2
2
0
0
2
2
31
25
0
7
6
5
6
0
2
2
0
0
2
0
2
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
2
0
0
0
0
1
0
0
2
5
2
1
7
4
1
1
3
22
1
23
29
4
1
1
0
1
0
1
14
0
1
1
0
15
0
0
0
0
0
0
23
13
22
13
2
2
31
24
1
0
4
5
7
3
3
1
0
0
2
2
31
24
1
0
4
4
5
0
3
1
0
0
2
2
31
24
1
0
4
5
7
3
3
1
0
0
2
0
1
5
0
0
0
0
0
30
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
1
0
1
1
0
0
0
0
0
6
7
1
1
1
13
13
1
26
28
3
1
1
0
1
0
0
10
0
1
1
6
15
0
0
0
0
0
0
2
24
19
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
16
0
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
0
0
0
1
0
0
4
3
3
1
3
4
1
1
15
3
31
22
11
4
1
0
0
1
0
0
8
0
1
1
6
15
0
0
0
0
0
0
31
16
24
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
28
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
2
0
0
0
1
1
0
0
4
2
3
1
7
2
1
1
8
15
1
28
20
2
1
1
0
1
0
0
8
1
1
1
2
13
0
0
0
0
0
0
13
16
22
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
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
6
0
0
0
1
0
0
0
7
4
6
6
7
1
1
1
9
15
1
25
31
4
1
1
0
1
0
0
14
0
2
1
0
8
0
0
0
0
0
0
2
22
16
18
3
3
31
22
0
0
6
5
6
1
2
2
0
0
3
3
31
22
0
0
6
4
5
1
2
2
0
0
3
3
31
22
0
0
6
5
6
1
2
2
0
0
2
0
2
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
0
0
1
0
1
0
0
2
2
2
6
7
4
3
1
13
27
1
26
22
4
1
1
0
1
0
0
8
0
1
1
1
9
0
0
0
0
0
0
26
4
17
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
0
0
0
1
1
1
0
0
2
2
2
1
4
1
1
1
12
18
1
21
14
3
1
1
0
1
1
0
16
1
1
1
5
12
0
0
0
0
0
0
21
5
22
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
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
4
0
1
1
0
1
0
0
6
5
6
6
1
1
1
1
31
10
1
31
18
4
1
1
0
1
0
0
10
0
0
0
0
12
0
0
0
0
0
0
30
16
28
18
31
31
31
31
31
31
12
31
9
18
31
31
31
31
31
31
31
31
31
26
11
25
7
19
31
31
31
31
31
31
31
31
31
31
12
31
9
19
31
31
31
31
3
0
31
2
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
1
0
0
0
0
1
0
0
6
4
5
1
7
3
1
1
8
19
1
26
17
4
1
1
0
1
0
0
14
1
1
1
5
8
0
0
0
0
0
0
28
16
7
18
1
1
31
24
1
0
3
4
7
0
3
1
0
1
1
0
31
24
1
0
3
4
5
0
3
0
0
0
1
1
31
24
1
0
3
5
7
0
3
1
0
1
2
0
1
5
0
1
0
1
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
2
2
2
6
7
1
3
1
15
30
1
28
27
2
1
1
0
1
1
0
14
0
1
1
4
12
0
0
0
1
1
0
25
2
1
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
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
1
0
0
0
0
5
4
5
6
7
4
1
1
12
22
1
30
10
4
1
1
1
1
1
0
4
0
1
1
6
12
0
0
0
0
1
1
2
16
25
18
0
2
30
24
1
2
2
1
7
2
3
0
0
0
0
2
30
24
1
2
2
1
5
2
3
0
0
0
0
2
30
24
1
2
2
1
7
2
3
0
0
0
2
0
0
6
0
0
0
0
0
9
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
0
0
0
1
0
0
0
0
0
6
7
1
1
1
2
28
1
27
27
4
1
1
1
1
1
0
3
1
1
1
0
18
0
1
1
0
1
1
1
10
28
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
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
1
0
0
0
3
1
2
6
7
4
5
1
8
9
1
28
16
6
1
1
0
1
0
1
0
0
1
1
4
18
0
0
0
0
0
0
0
19
21
6
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
4
0
0
0
0
1
0
0
9
6
8
6
3
4
1
1
3
7
31
31
12
4
1
0
0
1
0
0
8
0
1
1
5
18
0
0
0
0
0
0
31
16
18
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
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
0
0
0
1
0
1
0
0
0
1
0
6
3
4
1
1
15
4
31
26
12
4
1
0
0
1
0
0
8
0
1
1
4
12
0
0
0
0
0
0
31
16
27
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
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
3
0
0
0
0
1
0
0
5
3
4
6
3
4
2
1
13
3
31
31
16
4
1
0
0
1
0
0
8
0
1
1
4
15
0
0
0
0
0
0
31
16
26
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
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
1
0
0
0
1
0
6
7
4
1
1
5
23
1
30
13
4
1
1
0
1
0
0
8
1
1
1
1
18
0
0
0
0
0
0
18
6
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
1
0
0
1
1
1
0
0
0
1
0
5
7
4
1
1
13
29
1
27
26
2
1
1
0
1
0
0
8
1
1
1
4
17
0
0
0
0
0
0
2
3
23
6
3
0
31
26
0
0
6
5
6
1
2
3
0
0
3
0
31
26
0
0
6
4
5
1
2
3
0
0
3
0
31
26
0
0
6
5
6
1
2
3
0
0
2
0
2
4
0
0
0
0
0
23
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
1
0
0
0
0
0
0
0
6
7
4
1
1
7
14
1
21
29
4
1
1
1
1
0
0
8
1
2
2
0
8
0
0
0
0
0
0
2
19
17
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
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
2
1
0
1
1
1
0
0
6
2
5
6
7
4
1
1
9
12
1
17
23
0
1
1
0
1
0
0
8
0
2
2
1
12
0
0
0
0
1
1
2
16
18
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
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
2
0
0
0
0
1
0
0
2
1
2
6
1
4
1
1
13
18
1
23
12
4
1
1
0
1
0
0
8
0
1
1
6
11
0
0
0
0
1
1
11
16
18
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
15
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
1
1
1
6
1
2
0
1
2
29
1
30
25
4
1
1
1
1
0
0
0
0
1
1
5
19
0
0
0
0
0
0
2
16
20
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
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
1
1
0
1
1
0
0
1
0
1
6
7
4
3
1
4
30
1
29
28
22
1
1
0
1
0
0
14
0
1
1
4
10
0
0
0
1
1
0
25
16
0
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
0
0
0
0
0
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
9
8
9
6
7
1
0
1
3
16
1
30
12
4
1
1
1
1
1
0
0
0
1
1
6
22
0
0
0
0
0
0
18
20
14
18
3
2
31
22
1
0
6
5
7
1
2
2
0
0
3
2
31
22
1
0
6
4
5
1
2
3
0
0
3
2
31
22
1
0
6
5
7
1
2
3
0
0
0
0
2
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
1
0
0
0
1
1
0
0
5
5
5
6
7
4
1
1
14
17
1
24
11
3
1
1
0
1
1
0
8
1
0
0
0
16
0
0
0
0
1
1
2
16
27
23
0
1
31
19
0
0
2
2
4
0
0
0
0
0
0
1
31
20
0
0
2
2
3
0
0
0
0
0
0
1
31
19
0
0
2
2
4
0
0
0
0
0
2
0
0
5
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
0
1
0
6
3
4
3
1
0
2
31
24
10
4
1
0
0
1
1
0
8
0
1
1
1
8
0
0
0
0
0
0
31
16
27
18
1
2
31
24
1
2
4
4
7
2
3
3
0
0
1
2
31
24
1
2
4
3
5
2
3
3
0
0
1
2
31
24
1
2
4
4
7
2
3
3
0
0
2
0
1
4
0
0
0
0
0
26
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
1
0
0
1
0
0
0
0
0
1
7
4
0
1
13
10
1
26
20
4
1
1
0
1
0
0
8
1
1
1
1
11
0
0
0
0
0
0
6
22
20
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
17
0
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
1
0
0
1
0
0
1
1
1
6
7
1
1
1
8
28
1
30
25
4
1
1
0
1
0
0
3
0
1
1
0
14
0
0
0
1
1
0
21
10
24
17
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
1
1
0
0
0
3
1
2
6
7
4
1
1
2
25
1
31
27
4
1
1
0
1
0
0
4
0
1
1
5
12
0
0
0
0
0
0
30
3
25
6
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
1
0
0
0
0
0
0
0
0
0
0
1
0
0
1
0
1
0
0
1
1
1
1
3
3
1
1
13
2
31
21
14
4
1
0
0
1
0
0
8
0
1
1
0
10
0
0
0
0
0
0
31
16
5
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
29
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
1
0
6
3
6
6
7
4
1
1
1
20
1
16
17
4
1
1
1
1
0
0
6
2
1
1
6
12
0
0
0
0
0
0
16
16
26
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
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
4
0
0
1
1
1
0
0
3
2
3
6
7
4
1
1
10
16
1
20
12
5
1
1
1
1
0
0
8
0
1
1
5
9
0
0
0
0
0
0
2
16
9
23
3
3
31
26
2
0
8
5
6
1
3
3
0
0
4
3
31
26
2
0
8
4
5
1
3
3
0
0
3
3
31
26
2
0
8
5
6
1
3
3
0
0
2
0
4
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
3
0
0
0
0
1
0
0
2
1
2
6
4
2
2
1
11
6
1
25
14
4
1
1
0
1
0
0
3
0
1
1
0
12
0
0
0
0
0
0
6
16
25
14
3
2
31
24
1
3
3
12
7
2
3
4
0
0
4
2
31
24
1
3
3
9
5
2
3
4
0
0
3
2
31
24
1
3
3
12
7
2
3
4
0
0
2
0
3
5
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
0
0
0
14
7
14
6
7
1
1
2
20
23
1
30
11
4
1
1
1
1
1
0
8
1
0
0
2
17
0
1
1
0
1
1
17
11
27
10
5
3
31
29
2
5
5
12
13
3
3
5
0
0
3
2
31
29
0
3
3
9
10
3
3
3
0
0
5
3
31
29
2
6
5
12
13
3
3
5
0
0
2
0
6
4
0
0
0
0
0
14
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
1
0
0
0
1
0
0
7
5
7
1
3
4
1
1
8
5
31
14
11
4
1
0
0
1
0
0
8
0
1
1
1
12
0
0
0
0
0
0
31
16
24
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
23
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
2
0
0
1
0
1
0
0
1
1
1
6
3
4
1
1
2
1
31
19
11
4
1
0
0
1
0
0
8
0
1
1
2
10
0
0
0
0
0
0
31
16
20
18
5
3
31
26
0
10
9
10
12
4
4
5
0
0
3
2
31
26
0
6
6
8
9
3
3
4
0
0
5
3
31
26
0
10
9
10
12
4
4
5
0
0
1
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
0
0
0
1
0
0
0
0
3
3
3
6
7
4
2
1
8
26
1
26
18
4
1
1
1
1
0
0
8
0
1
1
2
12
0
0
0
0
0
0
2
16
9
20
3
3
31
26
0
0
6
5
6
3
2
2
0
0
3
3
31
26
0
0
6
4
5
3
2
3
0
0
3
3
31
26
0
0
6
5
6
3
2
2
0
0
2
0
2
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
1
1
1
0
0
3
4
3
6
7
4
1
1
6
22
1
30
11
3
1
1
0
1
0
0
4
0
1
1
4
9
0
0
0
1
1
0
6
16
22
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
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
8
0
0
1
0
0
0
0
24
13
23
6
1
1
1
1
31
12
1
24
23
4
1
1
1
1
0
1
8
1
0
0
6
14
0
1
1
0
1
1
2
16
28
24
5
0
31
25
0
7
2
28
29
4
4
6
0
0
5
0
31
25
0
6
2
22
23
4
5
6
0
0
5
0
31
25
0
7
2
28
29
4
4
6
0
0
2
0
5
4
0
0
0
0
0
31
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
1
0
1
1
1
0
0
3
5
3
1
1
4
1
1
12
20
1
30
24
3
1
1
0
1
0
0
8
1
1
1
0
14
0
0
0
0
1
1
8
16
2
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
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
1
1
1
0
0
5
9
5
6
7
4
1
1
11
15
0
23
11
2
1
1
0
1
0
0
3
1
1
1
6
13
0
0
0
0
0
0
19
16
28
20
18
15
31
24
1
21
18
10
7
25
3
2
0
0
18
15
31
24
1
18
18
8
5
26
3
2
0
0
18
15
31
24
1
21
18
10
7
26
3
2
0
0
2
0
2
4
0
0
0
0
0
8
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
1
0
0
0
0
0
6
3
4
1
1
15
2
31
26
11
4
1
0
0
1
1
0
8
0
1
1
4
10
0
0
0
0
0
0
31
8
13
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
2
0
0
1
0
0
0
0
2
0
2
6
4
1
3
5
8
30
1
27
26
4
1
1
1
1
0
0
3
0
1
1
6
17
0
0
0
1
1
0
21
3
19
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
1
0
0
0
0
0
0
0
0
1
0
0
0
0
1
1
0
4
3
3
6
7
1
1
5
8
21
1
31
23
4
1
1
0
1
0
1
6
2
1
1
2
13
0
0
0
0
0
0
30
10
10
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
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
2
1
6
7
2
0
1
14
24
1
18
31
4
1
1
0
1
0
0
8
0
0
0
1
14
0
0
0
0
0
0
18
16
12
18
8
5
31
24
2
8
4
14
15
2
6
8
0
2
6
5
31
25
2
6
3
11
13
1
5
6
0
0
6
5
31
25
2
8
3
14
16
3
5
7
0
2
2
0
6
4
0
0
0
0
0
18
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
1
0
0
0
0
1
0
0
1
2
1
6
1
4
3
1
7
11
1
27
22
4
1
1
0
1
0
0
3
0
2
2
2
13
0
0
0
0
0
0
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
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
1
1
1
6
3
4
5
1
8
3
31
18
12
4
1
0
0
1
0
0
8
0
1
1
3
12
0
0
0
0
0
0
31
16
27
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
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
0
0
0
0
0
1
3
1
6
7
1
1
1
2
23
1
28
15
4
1
1
0
1
0
0
6
1
2
2
2
12
0
0
0
0
1
1
11
19
21
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
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
3
0
0
0
0
1
1
0
9
5
6
6
1
4
1
1
14
22
1
23
20
4
1
1
0
1
1
0
8
2
0
0
0
17
0
0
0
0
0
0
16
16
14
8
8
5
31
24
2
8
4
14
15
2
6
8
0
2
6
5
31
25
2
6
3
11
13
1
5
6
0
0
6
5
31
25
2
8
3
14
16
3
5
7
0
2
2
0
6
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
1
1
1
1
0
0
2
2
2
6
7
1
2
1
4
11
1
29
22
2
1
1
0
1
1
0
8
0
1
1
0
11
0
0
0
0
1
1
3
7
21
15
1
0
31
24
1
0
4
5
7
2
3
1
0
0
2
0
31
24
1
0
4
4
5
2
3
1
0
0
2
0
31
24
1
0
4
5
7
2
3
1
0
0
2
0
1
5
0
0
0
0
0
15
0
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
0
0
0
0
0
0
6
3
5
6
7
4
5
1
9
19
1
22
11
4
1
1
0
1
1
0
8
0
1
1
4
9
0
0
0
0
0
0
18
16
12
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
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
0
1
0
0
1
1
1
6
7
1
1
1
9
23
1
30
11
4
1
1
0
1
1
1
10
0
2
1
1
7
0
0
0
0
0
0
1
17
7
30
2
2
31
20
0
0
4
5
6
3
2
2
0
0
2
2
31
20
0
0
4
4
5
3
2
2
0
0
2
2
31
20
0
0
4
5
6
3
2
2
0
0
2
0
1
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
2
0
0
0
0
0
0
0
3
2
3
6
7
4
1
5
6
23
1
30
16
4
1
1
0
1
0
0
8
0
1
1
4
9
0
0
0
0
0
0
11
21
8
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
26
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
4