Auburn weather in July

In July, Auburn sees average daytime highs of 82°F and overnight lows near 64°F, with 3.6 in of rain across 10.6 wet days and about 14.8 hours of daylight. It is the 1st-warmest and 8th-wettest month of the year here.

Day-to-day highs hold fairly steady near 82°F through the month. The sky is clear or mostly clear about 25% of the time in July, and the air most often feels humid.

Daylight stretches from about 15 hours at the start of July to 14 h 24 min by month's end. Set against the rest of the year, July is Auburn's 7th-clearest and 11th-windiest month. For the whole year in context, see Auburn's year-round climate.

Daytime high: 82°; 1st warmest
Overnight low: 64°; 12th coldest
Rainfall: 3.6 in; 10.6 wet days
Daylight: 14 h 48 min; 4:29 AM – 7:17 PM
Cloud cover: 60%; 7th clearest
Wind: 6 mph; 11th windiest
Solar energy: 5.87 kWh/m²
Travel score: 6.2; out of 10

Auburn is town in Worcester County, Massachusetts, United States.

Density: 394/km²; people per km²
Founded: 1714

Air quality: WHO Ambient Air Quality Database. Density & description: Wikidata (CC0), GeoNames.

← June Auburn year-round climate August →Best places to visit in July

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

Temperature in July

Average highAverage lowShaded bands: 10–90% of days

Day-to-day highs hold fairly steady near 82°F through the month.

A typical July day in Auburn reaches about 82°F in the afternoon and slips back to 64°F overnight — a 17°F spread between the day's warmth and the night's chill. On most days the high lands between 73°F and 91°F. Set against its neighbours, July runs about 5°F warmer than June and about 2°F warmer than August.

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31
Avg high (°F)	81	81	81	81	81	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82	82
Avg low (°F)	63	63	63	63	63	64	64	64	64	64	64	64	64	64	64	64	65	65	65	65	65	65	65	65	65	65	65	65	65	65	64

	Avg high (°F)	Avg low (°F)
1	81	63
2	81	63
3	81	63
4	81	63
5	81	63
6	82	64
7	82	64
8	82	64
9	82	64
10	82	64
11	82	64
12	82	64
13	82	64
14	82	64
15	82	64
16	82	64
17	82	65
18	82	65
19	82	65
20	82	65
21	82	65
22	82	65
23	82	65
24	82	65
25	82	65
26	82	65
27	82	65
28	82	65
29	82	65
30	82	65
31	82	64

How July really feels in Auburn

Once humidity and wind are folded in, July averages 0 days that feel above 90°F and 0 that feel at or below 32°F — the comfort signal a plain temperature reading hides.

Days feeling ≥ 90°F

heat index over the day's high

Days feeling ≤ 32°F

wind chill below the day's low

July sits comfortably in between — no days that feel dangerously hot or drop to a hard freeze once humidity and wind are folded in.

Auburn weather by month

How July compares with the rest of the year at a glance. July is the 1st-warmest and 8th-wettest month here — the current month is highlighted below.

Month	High / Low (°F)	Rainfall (inches)	Wet days	Snow days	Daylight (hours)	Travel score
Jan	34° / 20°	3.4	9.8	6.4	9.3	0.0
Feb	37° / 21°	3.1	8.6	5.7	10.3	0.0
Mar	44° / 29°	4.2	10.7	5.2	11.6	0.9
Apr	56° / 39°	3.7	11.3	1.5	13.1	3.7
May	67° / 49°	3.2	10.8	0	14.4	5.9
Jun	76° / 58°	3.9	11.5	0	15	6.5
Jul	82° / 64°	3.6	10.6	0	14.8	6.2
Aug	80° / 63°	3.8	10.2	0	13.7	6.6
Sep	72° / 55°	3.6	8.5	0	12.3	6.9
Oct	60° / 44°	3.9	9.8	0.3	10.8	5.0
Nov	49° / 35°	3.4	9.1	1.2	9.6	2.1
Dec	39° / 26°	4.3	10.5	5.5	9	0.1

Cloud cover in July

ClearMostly clearPartly cloudyMostly cloudyOvercast

The sky is clear or mostly clear about 25% of the time in July.

Beyond those clear spells, partly cloudy skies cover about 23% of July, with mostly cloudy or overcast conditions the remaining 51%.

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31
Clearer (%)	47	48	48	49	50	50	51	51	51	51	51	51	51	50	50	49	49	48	47	47	46	46	46	47	47	47	48	48	47	48	49
Cloudier (%)	53	52	52	51	50	50	49	49	49	49	49	49	49	50	50	51	51	52	53	53	54	54	54	53	53	53	52	52	53	52	51

	Clearer (%)	Cloudier (%)
1	47	53
2	48	52
3	48	52
4	49	51
5	50	50
6	50	50
7	51	49
8	51	49
9	51	49
10	51	49
11	51	49
12	51	49
13	51	49
14	50	50
15	50	50
16	49	51
17	49	51
18	48	52
19	47	53
20	47	53
21	46	54
22	46	54
23	46	54
24	47	53
25	47	53
26	47	53
27	48	52
28	48	52
29	47	53
30	48	52
31	49	51

Chance of precipitation in July

Any precipitation

Auburn gets around 3.6 in of rain over 10.6 wet days in July. The line is the day-by-day chance of measurable precipitation.

Day to day, the chance of measurable rain averages around 35% and peaks near 36% on the wettest days.

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31
Rain chance (%)	35	35	35	34	34	34	34	34	34	34	34	34	35	35	35	35	35	36	36	36	36	36	36	36	36	36	36	36	36	36	36

	Rain chance (%)
1	35
2	35
3	35
4	34
5	34
6	34
7	34
8	34
9	34
10	34
11	34
12	34
13	35
14	35
15	35
16	35
17	35
18	36
19	36
20	36
21	36
22	36
23	36
24	36
25	36
26	36
27	36
28	36
29	36
30	36
31	36

Humidity in July

DryComfortableHumidMuggyOppressiveMiserable

Most of July feels humid — the stacked bands show each day's mix of comfort levels, read off the dew point.

By dew point, July lands in the humid band about 28% of days. Sticky, muggy-or-worse air turns up on roughly 27% of them.

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31
Dry (%)	29	28	27	27	26	26	26	25	24	24	23	22	22	21	21	20	20	19	19	18	17	17	16	16	16	16	16	16	16	17	17
Comfortable (%)	25	25	26	26	26	26	26	26	26	26	26	25	25	25	24	24	23	23	23	23	23	23	23	23	23	24	24	24	24	24	24
Humid (%)	24	24	25	25	25	25	25	26	26	26	27	27	28	28	29	29	30	30	30	31	31	31	31	31	31	31	30	30	30	29	29
Muggy (%)	18	19	19	19	19	19	19	19	20	20	21	21	22	22	22	22	22	23	23	23	23	24	24	24	24	24	24	24	24	24	24
Oppressive (%)	3	4	4	4	4	4	4	4	4	4	4	4	4	4	4	5	5	5	5	6	6	6	6	6	6	6	6	6	6	6	7

	Dry (%)	Comfortable (%)	Humid (%)	Muggy (%)	Oppressive (%)
1	29	25	24	18	3
2	28	25	24	19	4
3	27	26	25	19	4
4	27	26	25	19	4
5	26	26	25	19	4
6	26	26	25	19	4
7	26	26	25	19	4
8	25	26	26	19	4
9	24	26	26	20	4
10	24	26	26	20	4
11	23	26	27	21	4
12	22	25	27	21	4
13	22	25	28	22	4
14	21	25	28	22	4
15	21	24	29	22	4
16	20	24	29	22	5
17	20	23	30	22	5
18	19	23	30	23	5
19	19	23	30	23	5
20	18	23	31	23	6
21	17	23	31	23	6
22	17	23	31	24	6
23	16	23	31	24	6
24	16	23	31	24	6
25	16	23	31	24	6
26	16	24	31	24	6
27	16	24	30	24	6
28	16	24	30	24	6
29	16	24	30	24	6
30	17	24	29	24	6
31	17	24	29	24	7

Wind in July

Winds average 6 mph in July.

Across July, daily wind ranges from about 6 mph on the calmest days to 7 mph at its breeziest. It stays fairly steady from day to day.

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31
Wind speed (mph)	7	7	7	7	7	7	7	7	7	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6	6
Feels	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm	calm

	Wind speed (mph)	Feels
1	7	calm
2	7	calm
3	7	calm
4	7	calm
5	7	calm
6	7	calm
7	7	calm
8	7	calm
9	7	calm
10	6	calm
11	6	calm
12	6	calm
13	6	calm
14	6	calm
15	6	calm
16	6	calm
17	6	calm
18	6	calm
19	6	calm
20	6	calm
21	6	calm
22	6	calm
23	6	calm
24	6	calm
25	6	calm
26	6	calm
27	6	calm
28	6	calm
29	6	calm
30	6	calm
31	6	calm

Sunrise & sunset in July

DaylightNight

Daylight runs from about 15 hours at the start of July to 14 h 24 min by month's end. The lit band spans sunrise to sunset each day.

Days shrink by about 36 minutes over July. Sunrise moves from 4:19 AM to 4:43 AM, and sunset from 7:22 PM to 7:04 PM.

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31
Daylight (h)	15.0	15.0	15.0	15.0	15.0	15.0	15.0	15.0	14.9	14.9	14.9	14.9	14.9	14.8	14.8	14.8	14.8	14.7	14.7	14.7	14.7	14.6	14.6	14.6	14.5	14.5	14.5	14.5	14.4	14.4	14.4
Sunrise (AM)	4:19	4:20	4:20	4:21	4:21	4:22	4:23	4:23	4:24	4:25	4:25	4:26	4:27	4:27	4:28	4:29	4:30	4:31	4:32	4:32	4:33	4:34	4:35	4:36	4:37	4:38	4:39	4:40	4:41	4:42	4:43
Sunset (PM)	7:22	7:22	7:22	7:22	7:21	7:21	7:21	7:21	7:20	7:20	7:19	7:19	7:19	7:18	7:17	7:17	7:16	7:16	7:15	7:14	7:13	7:13	7:12	7:11	7:10	7:09	7:08	7:07	7:06	7:05	7:04

	Daylight (h)	Sunrise (AM)	Sunset (PM)
1	15.0	4:19	7:22
2	15.0	4:20	7:22
3	15.0	4:20	7:22
4	15.0	4:21	7:22
5	15.0	4:21	7:21
6	15.0	4:22	7:21
7	15.0	4:23	7:21
8	15.0	4:23	7:21
9	14.9	4:24	7:20
10	14.9	4:25	7:20
11	14.9	4:25	7:19
12	14.9	4:26	7:19
13	14.9	4:27	7:19
14	14.8	4:27	7:18
15	14.8	4:28	7:17
16	14.8	4:29	7:17
17	14.8	4:30	7:16
18	14.7	4:31	7:16
19	14.7	4:32	7:15
20	14.7	4:32	7:14
21	14.7	4:33	7:13
22	14.6	4:34	7:13
23	14.6	4:35	7:12
24	14.6	4:36	7:11
25	14.5	4:37	7:10
26	14.5	4:38	7:09
27	14.5	4:39	7:08
28	14.5	4:40	7:07
29	14.4	4:41	7:06
30	14.4	4:42	7:05
31	14.4	4:43	7:04

Solar energy in July

Daily solar energy (kWh/m²)

Average shortwave solar energy reaching the ground each day in July, about 5.87 kWh/m² — the sunniest month for solar.

For context, solar energy here swings from a low near 1.61 kWh/m² to a high of 5.87 kWh/m² in July across the year — July's 5.87 kWh/m² sits near the top of that range.

	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31
Solar energy (kWh/m²)	6.1	6.1	6.1	6.1	6.1	6.1	6.1	6.1	6.0	6.0	6.0	6.0	6.0	5.9	5.9	5.9	5.8	5.8	5.8	5.8	5.7	5.7	5.7	5.6	5.6	5.6	5.6	5.5	5.5	5.5	5.5
Level	Intense	Intense	Intense	Intense	Intense	Intense	Intense	Intense	Intense	Intense	Intense	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright	Bright

	Solar energy (kWh/m²)	Level
1	6.1	Intense
2	6.1	Intense
3	6.1	Intense
4	6.1	Intense
5	6.1	Intense
6	6.1	Intense
7	6.1	Intense
8	6.1	Intense
9	6.0	Intense
10	6.0	Intense
11	6.0	Intense
12	6.0	Bright
13	6.0	Bright
14	5.9	Bright
15	5.9	Bright
16	5.9	Bright
17	5.8	Bright
18	5.8	Bright
19	5.8	Bright
20	5.8	Bright
21	5.7	Bright
22	5.7	Bright
23	5.7	Bright
24	5.6	Bright
25	5.6	Bright
26	5.6	Bright
27	5.6	Bright
28	5.5	Bright
29	5.5	Bright
30	5.5	Bright
31	5.5	Bright

Planning a trip in July

Is July a good time to visit Auburn?

Our two travel scores rate July for general sightseeing and for beach or pool weather — 0 (poor) to 10 (ideal).

6.2

Sightseeing

4th-best month of the year

6.6

Beach & pool

1st-best month of the year

July is a reasonable time to visit Auburn for sightseeing. The water and warmth also suit a beach or pool day.

What to pack for Auburn in July

From July's temperature range, rain chance, sun and wind — what's worth putting in the bag.

In July, Auburn sees daytime highs around 82°F and nights near 64°F. Pack light clothes. Worth having: rain gear and sun protection. About 11 days see rain.

light clothesrain gearsun protection

UV index in Auburn in July

LowModerateHighVery highExtreme

Clear-sky midday UV in July peaks around 8 — enough to warrant sun protection. The full-year curve, shaded by WHO exposure level, is below.

Under clear skies, the midday UV index in Auburn peaks around July 11 at about 8 (very high) — sunscreen and a hat are worth it in the middle of the day. It bottoms out near January 1 at about 1 (low).

The index reaches 3 or more — the level where the WHO recommends sun protection — in 8 months of the year.

	Jan	Feb	Mar	Apr	May	Jun	Jul	Aug	Sep	Oct	Nov	Dec
UV index (midday)	1	3	4	6	8	7	8	5	6	3	2	1
Level	Low	Moderate	Moderate	High	Very high	Very high	Very high	High	High	Moderate	Moderate	Low

	UV index (midday)	Level
Jan	1	Low
Feb	3	Moderate
Mar	4	Moderate
Apr	6	High
May	8	Very high
Jun	7	Very high
Jul	8	Very high
Aug	5	High
Sep	6	High
Oct	3	Moderate
Nov	2	Moderate
Dec	1	Low

Location & terrain

Where is Auburn?

Auburn sits at 42.2°N, 71.8°W, 614 ft above sea level, in United States. The nearest listed city is Worcester, 5.0 mi away.

Topography around Auburn

How much the land rises and falls, and what covers it, within 2, 10 and 50 miles of Auburn.

Within 2 miles, the terrain around Auburn has only modest variations in elevation — a maximum elevation change of 476 ft around an average of 607 ft above sea level; within 10 miles, significant variations in elevation — a maximum elevation change of 1,138 ft; within 50 miles, large variations in elevation — a maximum elevation change of 3,176 ft.

The land around Auburn is covered by trees (72%) within 2 miles, trees (80%) within 10 miles, and trees (86%) within 50 miles.

2 miles

476 ft

trees 72%

10 miles

1,138 ft

trees 80%

50 miles

3,176 ft

trees 86%

treesgrasslandcroplandartificial surfaceswaterwetland

← June Auburn year-round climate August →Best places to visit in July

July weather nearby: Worcester 5.0 mi · Grafton 7.5 mi · Shrewsbury 9.3 mi · Holden 11 mi · Southbridge 13 mi · Milford 17 mi · Marlborough 18 mi · Ashland 20 mi

United States travel facts

Power plugs: Type A / B; 120 V · 60 Hz
Prices: ≈ 100% of US; price level, 2025
GDP per capita: $90,027; 2025
Happiness: 6.8 / 10; World Happiness, 2025
Safe drinking water: 98%; of population, 2024
Homicide rate: 5.8; per 100k, 2023
Road deaths: 12.7; per 100k/yr, 2019
Income group: High; World Bank
Religion

Sources: World Bank, US State Department, World Happiness Report, WHO/UNICEF, EF EPI, CIA World Factbook.

Data sources

Temperature, precipitation, cloud, humidity, wind and solar figures are a 1991–2020 climatology for Auburn (42.1945°, -71.8356°, elevation 614 ft), computed from hourly ERA5 reanalysis — contains modified Copernicus Climate Change Service information. Sun figures are astronomical calculations, not observations. City data © GeoNames, CC BY 4.0. Map outlines from Natural Earth (public domain); interactive map © Google. UV index is derived from CAMS (Copernicus Atmosphere Monitoring Service) clear-sky UV data — contains modified Copernicus Atmosphere Monitoring Service information. Topography is sampled from the Copernicus DEM GLO-90 elevation model (© ESA/Airbus) and ESA WorldCover 2021 land cover (CC BY 4.0).

	Avg high (°F)	Avg low (°F)
1	81	63
2	81	63
3	81	63
4	81	63
5	81	63
6	82	64
7	82	64
8	82	64
9	82	64
10	82	64
11	82	64
12	82	64
13	82	64
14	82	64
15	82	64
16	82	64
17	82	65
18	82	65
19	82	65
20	82	65
21	82	65
22	82	65
23	82	65
24	82	65
25	82	65
26	82	65
27	82	65
28	82	65
29	82	65
30	82	65
31	82	64

	Clearer (%)	Cloudier (%)
1	47	53
2	48	52
3	48	52
4	49	51
5	50	50
6	50	50
7	51	49
8	51	49
9	51	49
10	51	49
11	51	49
12	51	49
13	51	49
14	50	50
15	50	50
16	49	51
17	49	51
18	48	52
19	47	53
20	47	53
21	46	54
22	46	54
23	46	54
24	47	53
25	47	53
26	47	53
27	48	52
28	48	52
29	47	53
30	48	52
31	49	51

	Rain chance (%)
1	35
2	35
3	35
4	34
5	34
6	34
7	34
8	34
9	34
10	34
11	34
12	34
13	35
14	35
15	35
16	35
17	35
18	36
19	36
20	36
21	36
22	36
23	36
24	36
25	36
26	36
27	36
28	36
29	36
30	36
31	36

	Dry (%)	Comfortable (%)	Humid (%)	Muggy (%)	Oppressive (%)
1	29	25	24	18	3
2	28	25	24	19	4
3	27	26	25	19	4
4	27	26	25	19	4
5	26	26	25	19	4
6	26	26	25	19	4
7	26	26	25	19	4
8	25	26	26	19	4
9	24	26	26	20	4
10	24	26	26	20	4
11	23	26	27	21	4
12	22	25	27	21	4
13	22	25	28	22	4
14	21	25	28	22	4
15	21	24	29	22	4
16	20	24	29	22	5
17	20	23	30	22	5
18	19	23	30	23	5
19	19	23	30	23	5
20	18	23	31	23	6
21	17	23	31	23	6
22	17	23	31	24	6
23	16	23	31	24	6
24	16	23	31	24	6
25	16	23	31	24	6
26	16	24	31	24	6
27	16	24	30	24	6
28	16	24	30	24	6
29	16	24	30	24	6
30	17	24	29	24	6
31	17	24	29	24	7

	Avg high (°F)	Avg low (°F)
1	81	63
2	81	63
3	81	63
4	81	63
5	81	63
6	82	64
7	82	64
8	82	64
9	82	64
10	82	64
11	82	64
12	82	64
13	82	64
14	82	64
15	82	64
16	82	64
17	82	65
18	82	65
19	82	65
20	82	65
21	82	65
22	82	65
23	82	65
24	82	65
25	82	65
26	82	65
27	82	65
28	82	65
29	82	65
30	82	65
31	82	64

	Clearer (%)	Cloudier (%)
1	47	53
2	48	52
3	48	52
4	49	51
5	50	50
6	50	50
7	51	49
8	51	49
9	51	49
10	51	49
11	51	49
12	51	49
13	51	49
14	50	50
15	50	50
16	49	51
17	49	51
18	48	52
19	47	53
20	47	53
21	46	54
22	46	54
23	46	54
24	47	53
25	47	53
26	47	53
27	48	52
28	48	52
29	47	53
30	48	52
31	49	51

	Rain chance (%)
1	35
2	35
3	35
4	34
5	34
6	34
7	34
8	34
9	34
10	34
11	34
12	34
13	35
14	35
15	35
16	35
17	35
18	36
19	36
20	36
21	36
22	36
23	36
24	36
25	36
26	36
27	36
28	36
29	36
30	36
31	36

	Dry (%)	Comfortable (%)	Humid (%)	Muggy (%)	Oppressive (%)
1	29	25	24	18	3
2	28	25	24	19	4
3	27	26	25	19	4
4	27	26	25	19	4
5	26	26	25	19	4
6	26	26	25	19	4
7	26	26	25	19	4
8	25	26	26	19	4
9	24	26	26	20	4
10	24	26	26	20	4
11	23	26	27	21	4
12	22	25	27	21	4
13	22	25	28	22	4
14	21	25	28	22	4
15	21	24	29	22	4
16	20	24	29	22	5
17	20	23	30	22	5
18	19	23	30	23	5
19	19	23	30	23	5
20	18	23	31	23	6
21	17	23	31	23	6
22	17	23	31	24	6
23	16	23	31	24	6
24	16	23	31	24	6
25	16	23	31	24	6
26	16	24	31	24	6
27	16	24	30	24	6
28	16	24	30	24	6
29	16	24	30	24	6
30	17	24	29	24	6
31	17	24	29	24	7

	Avg high (°F)	Avg low (°F)
1	81	63
2	81	63
3	81	63
4	81	63
5	81	63
6	82	64
7	82	64
8	82	64
9	82	64
10	82	64
11	82	64
12	82	64
13	82	64
14	82	64
15	82	64
16	82	64
17	82	65
18	82	65
19	82	65
20	82	65
21	82	65
22	82	65
23	82	65
24	82	65
25	82	65
26	82	65
27	82	65
28	82	65
29	82	65
30	82	65
31	82	64

	Clearer (%)	Cloudier (%)
1	47	53
2	48	52
3	48	52
4	49	51
5	50	50
6	50	50
7	51	49
8	51	49
9	51	49
10	51	49
11	51	49
12	51	49
13	51	49
14	50	50
15	50	50
16	49	51
17	49	51
18	48	52
19	47	53
20	47	53
21	46	54
22	46	54
23	46	54
24	47	53
25	47	53
26	47	53
27	48	52
28	48	52
29	47	53
30	48	52
31	49	51

	Rain chance (%)
1	35
2	35
3	35
4	34
5	34
6	34
7	34
8	34
9	34
10	34
11	34
12	34
13	35
14	35
15	35
16	35
17	35
18	36
19	36
20	36
21	36
22	36
23	36
24	36
25	36
26	36
27	36
28	36
29	36
30	36
31	36

	Dry (%)	Comfortable (%)	Humid (%)	Muggy (%)	Oppressive (%)
1	29	25	24	18	3
2	28	25	24	19	4
3	27	26	25	19	4
4	27	26	25	19	4
5	26	26	25	19	4
6	26	26	25	19	4
7	26	26	25	19	4
8	25	26	26	19	4
9	24	26	26	20	4
10	24	26	26	20	4
11	23	26	27	21	4
12	22	25	27	21	4
13	22	25	28	22	4
14	21	25	28	22	4
15	21	24	29	22	4
16	20	24	29	22	5
17	20	23	30	22	5
18	19	23	30	23	5
19	19	23	30	23	5
20	18	23	31	23	6
21	17	23	31	23	6
22	17	23	31	24	6
23	16	23	31	24	6
24	16	23	31	24	6
25	16	23	31	24	6
26	16	24	31	24	6
27	16	24	30	24	6
28	16	24	30	24	6
29	16	24	30	24	6
30	17	24	29	24	6
31	17	24	29	24	7