Video quote: And now adding to that the fact that along a line the angles add up to 180. In mathematics, a bearing is the angle in degrees measured clockwise from north. Trig functions take arguments in radians, so latitude, longitude, and bearings in degrees (either decimal or degrees/minutes/seconds) need to be converted to radians, rad = deg/180. North or south is written first, then the angle, then east or west. Thanks for the formula, but I still do not get the correct bearing angle. containing the "NS", angle, and "EW" information. Your value throws more than 1/2 second away. https://www.ngdc.noaa.gov/geomag/calculators/magcalc.shtml#declination Find the bearing of the boat. We require the distance travelled west, which is the opposite. Sign up and login to IGISMap Tool to check more GIS tools. The bearing of C from A is found as the angle clockwise from north at A. The included angle is used in proofs of geometric theorems dealing with congruent triangles. The quadrant bearing system divides the compass into four equal sections of 90 degrees. The relative bearing is the angle between the direction of travel and some other direction. To work the bearing, subtract 130 from 360. Formula to Find Bearing or Heading angle between two points. Instructions Safer for me than trying to add and subtract odd angles (north 63 degrees 3 minutes 59 seconds east) and getting confused. Having trouble with math? Information about AM and FM broadcast radio stations is available at the Audio Division on the FCC's website, and at Broadcast Radio Links. We subtract 31 from 90 to get a bearing of 69. Bearings In mathematics, a bearing is the angle in degrees measured clockwise from north. The shortest distance between two points on the surface of a sphere is an arc, not a straight line. Alternatively, bearings can be written as quadrant bearings. For example, the angle 50 from north is written as 050. For example, a ship is currently travelling on a bearing of 050. So, I need to convert this into something more practical. hi good ofter noon Notify me of follow-up comments by email. . angleThe difference in direction between two convergent lines. In the form below, you can enter a list of routes (airport pairs) separated by commas to see all of them, and their distances, on a single map. The surveyor's bearing and distance values, known as "survey pairs", found in the record Upload or add kml or KML file on Google Earth, Convert Degree Minute Seconds to Degree Decimal Minutes to Decimal Degree format Latitude Longitude, https://www.ngdc.noaa.gov/geomag/calculators/magcalc.shtml#declination, https://www.ngdc.noaa.gov/geomag-web/calculators/calculateDeclination?lat1=39.099912&lon1=-94.581213&elevation=0&elevationUnits=F&model=WMM&startYear=2020&startMonth=2&startDay=28&resultFormat=html, https://www.igismap.com/map-tool/bearing-angle, Generate Voronoi Polygon from the GIS data, Upload your shapefile and create a buffer layer, Upload GIS data and label the features IGISMap Tool, Add GIS data from IGISMap and label each feature, Merge polygons features online using IGISMap, Add / Upload polygon GIS data and merge required polygon features, Online conversion of GIS points to polygon, Upload and view rendered raster images in IGISMap, Convert addresses from spreadsheet to points on Map in two steps, Create a Map of the Bank Locations in South India, Tool to Find Bearing, when two points are given. The bearing degrees calculator for set one is 96.51262423 which is correct. Answers for geologist, scientists, spacecraft operators. This angle can be either clockwise or counter-clockwise depending on which direction is the nearest. This GIS layer can be downloaded as GIS data in any format such as Shapefile, GeoJSON, CSV or KML. E6B, NavLog Calculator, Weather Reports, METAR, TAF, Wind Components, Instrument Simulator, Weight and Balance, Pressure Altitude, Density Altitude, True Air Speed, and a lot more. Listing total number of features into an ArcGIS Online feature pop-up. Bearings or azimuths start with 0 degrees toward true north, 90 degrees east, 180 degrees south, and 270 degrees west (clockwise rotation). tan-1(sin(LHA) / (cos(Present Latitude) x tan(Destination Latitude) (sin(Present Latitude) x cos(LHA)) Bearing can be defined as direction or an angle, between the north-south line of earth or meridian and the line connecting the target and the reference point. point #2 minus point #1). In this example, a diagram is drawn and a non-right-angled triangle is created. N45d15'16.7"E) into an azimuth (45.25463867). Multiply answer by 60 to get Nautical miles. It makes an alternate angle with the bearing of B from A. Use the cosine rule to find the missing side opposite the known angle. Your equation produces -80.7376. A bearings calculator might things easier if you find one, but understanding the underlying physics and mathematics will make things more clear. Distance = 60 x Cos-1(sin(Destination Latitude) x sin(Your present Latitude) + cos(Destination Latitude) x cos(Your present Latitude) x cos(Difference in Longitude between Your Location and Destination Location), NOTE- LHA= Present Longitude Destination Longitude, Z = tan-1(sin (LHA) / (cos (LHA) x sin(Your present Latitude) cos(Your present Latitude) x tan(Destination Latitude)), Then to put Z into the right quadrant, apply the following rules-. For the SW quadrant, add the quadrantal angle to 180, ie 26917'49", very slightly south of due west. We can see that alternate angles are equal. not the magnetic north? c = 2.atan2(a, (1a)) 40.7486, -73.9864). Required fields are marked *. Try this for Kansas City How to convert degrees,minutes,seconds to decimal degrees One degree is equal to 60 minutes and equal to 3600 seconds: 1 = 60' = 3600" One minute is equal to 1/60 degrees: 1' = (1/60) = 0.01666667 One second is equal to 1/3600 degrees: 1" = (1/3600) = 2.77778e-4 = 0.000277778 For angle with d integer degrees m minutes and s seconds: d m' s" It completely solved my problem finding the precise heading to a television transmitter. Astronomical zenith is defined by gravity; i.e., by sighting up a plumb line. So in this article we get familiar with What is bearing and calculate angle between two points. According to the astronomical definition of the seasons, the vernal equinox also marks the beginning of spring, which lasts until the summer solstice (June 20 or 21 in the Northern Hemisphere, December 21 or 22 in the Southern Hemisphere). Though converting angles from one system to the other may appear tricky, there is Consequently the bearing we're trying to find is equal to 63. The standard angle is typically measured by placing the angle at the origin and, from the line facing east, increasing counter-clockwise. I have implemented your bearing between two points calculation and it works fine for your example of flying from Kansas City to St. Louis: = 96.51. The data is as follows: Straight line, N4525'30'"E, 100.00 feet Direction (IV Quadrant): Bearing = 360 - Azimuth Azimuth = 360 - Bearing Enter it into a macro Bearings from North are always given as an angle (usually in degrees) going clockwise. representing the length change per degree per unit length, e.g., in./in./F or mm/mm/C. nadir, a term used in astronomy for the point in the heavens exactly opposite to the zenith, the zenith and nadir being the two poles of the horizon. Subtract the bearing of B to A from 180 to find the missing interior angle, then use the fact that angles in a full turn add to 360 to find the bearing of A to B. Starting at North, turn 15 degrees toward the East. How we can find bearing between the two points on earth, with the formula? To convert angle of bearing to degrees of a standard angle, subtract the bearing angle from 90. Say you want to convert from radians to degrees. Similarly, travelling West, the local time moves back one hour for every 15 of longitude. This is because the angle measured clockwise from north would include the 180 to face south, then a further 30. I that is what you want, then change the Round function to and Int function for the calculation of the Sec . CRC Handbook of Chemistry and Physics, 89th Edition New York, NY: CRC Press, p.1-28, 2008. Greenwich, in order to calculate their longitude. Online calculator: Compass, magnetic and true course calculator Navigation Compass, magnetic and true course calculator Calculates true, magnetic and compass direction (course, bearing) by a given direction, magnetic declination and deviation. =(ATAN((COS(Lat2)*SIN(Lon2-Lon1)/(COS(Lat1)*SIN(Lat2)-SIN(Lat1)*COS(Lat2)*COS(Lon2-Lon1)))))*180/PI() A diagram of this will show why a Latitude-dependent coefficient or multiplier term must accompany Longitude, since the distance subtended at Earths surface by some fixed angle of longitude changes with the latitude where that distance is measured. Degrees Conversion. Then on a worksheet cell, refer to this macro and three worksheet cells (or constants) Lets us take an example to calculate bearing between the two different points with the formula: Y = cos(39.099912) * sin(38.627089) sin(39.099912) * cos(38.627089) * cos(4.38101), Y = 0.77604737571 * 0.62424902378 0.6306746155 * 0.78122541965 * 0.99707812506, So as, = atan2(X,Y) = atan2(0.05967668696, -0.00681261948) =1.684463062558 radians. -5i is in the westerly direction and 2j is northerly. by 180/ then use (+360) % 360, where % is modulo. A bearing angle is determined by measuring the clockwise angle between two points. ), (Note: this page used to be entitled "Geographic Calculators" until Blue Marble threatened to sue GPS Visualizer for the use of that common phrase, which apparently they have trademarked in the capitalized singular. b: (38.627089, -90.200203) Unfortunately, the direction shown in the calculation is relative to North and North is a different direction in 3D from any start point and converges on the geographic pole [travel North from any location on earth and you will eventually arrive at the North Pole. converting a distance in chains, rods, and links to feet. In a quadrant bearing, the angle is always measured as the smallest angle from either north or south. Firstly, we use the fact that interior angles add to 180 to find the 160 angle marked in blue. IGISMap is a GIS based web platform providing multiple GIS applications that are most important in the field of geospatial analytics. Direction (I Quadrant): Bearing equals Azimuth S.E. Quadrant bearings are written as a meridian, an angle, and a direction. Here is another example of bearings using interior angles. If a . i dont understand the unit of the x and y. 404455N, 73 59 11W), or. Bearings are important for navigation in 2-dimensions such as when using maps. Secondly, angles around a point add to 360, so subtracting 160 and 170 from 360, we see that the internal angle of the triangle must be 30. Here c is the missing side from A to C. Therefore C is the angle opposite, which is 30. Set 2 calculations is 184.7069985 which is correct. deg-min-sec suffixed with N/S/E/W (e.g. We draw a right-angled triangle with one of the sides indicating the distance travelled west. Following are some tools useful in Microsoft Excel workbooks for making the bearing and This due East is at a bearing of 90 degrees, due South is 180 degrees, and due West is at 270 degrees. The angle of 120 is shown. To convert a quadrant bearing to a true bearing, first draw a diagram of the quadrant bearing. Weight & Balance Wind Components Pressure Altitude Density Altitude Cloud Base . Substituting these values into the cosine rule, we get AC = 20.3 km. The simple way to see these derivations is to understand that the polar coordinates of lat/long are first converted to cartesian (X, Y, Z) where the polar direction of lat/long is parallel to the cartesian Z direction, +X points to 0,0 lat/long and +Y points to 0, +90 lat/long. Your email address will not be published. +, to normalise the result to a compass bearing, multiply A negative i component is in the western direction. Working with Equations. Researchers use these anomalies (variations in Earth's magnetic field) in studying the nature of geologic phenomena such as mid-ocean ridges, ocean crust and magma that flows through them, and even how they've changed throughout Earth's history. What I dont understand is why long diff isnt just PointBLong PointALong For each, angles range from 0 to 360 degrees The shortest distance between two points on the surface of a sphere is an arc, not a straight line . First, angles Step 1 below shows the diagram of the situation with bearings marked. To convert angle of bearing to degrees of a standard angle, subtract the bearing angle from 90. If you are looking to somewhere higher, the vertical angle will be less than 90, while looking further down will be greater than 90. To find the bearing angle from a certain angle, measure the clockwise degrees between the direction or vector and the object from the north line when the object is centered at the origin just as though the angle were the hands of a clock. This process repeats itself in a cycle lasting a little over 365 days. Maybe Akshay could comment on this, please. Here is the Excel equation for converting a distance in chains, rods, and links Please enter any two values and leave the values to be calculated blank. To measure a horizontal angle, stand at the angles summit and measure the azimuth of each of its sides; calculate the value of the angle as follows. The missing side is labelled as c and the cosine rule is . The clockwise angle on the other side is needed. The purpose of this applet is to determine the GENERAL compass directional indicator from an entry of degrees. To find a bearing using trigonometry, create a right-angled triangle. You can just draw out the angles if you need a simpler way of tackling problems in a bearings maths lesson. The difference will give the interior angle if it is less than 180. The distance travelled west is therefore 433 km. The great circle route is not a line of constant heading (except along the equator or due North/South). A great circle is the shortest track on the earths surface between the two points on the surface which also cuts through the earths centre [this would leave two perfectly equal hemispheres and not a smaller and bigger part]. final bearing, the midpoint may not be located half-way between and via the Polar Region. X = 0.05967668696, but THIS is true This means to reach a particular destination you need to adjust your heading direction with the bearing. bearingAngle <- rad2deg(bearingAngle) The calculation of magnetic variation [magnetic north difference from True north] is different at every location on earth, but can be calculated here. Note that there are rounding errors in these values. (+180) % 360). What is difference between zenith and nadir? Bearing is a direction measured from north and it tracks angle in clockwise direction with north line which means north represents zero degree, east is 90 degrees, south is 180 degrees and west is 270 degrees. For example, find the bearing of B from A. Video quote: Your bearing based on the angle that you're given keep in mind for bearings zero degrees is due north and then we measure clockwise. Bearing Frequency Calculator. Select North or South, East or West, and enter a numeric angle. If AB= 8km and AC= 6km, what is the bearing of B from C? Geographers, geologists, and other scientists studying the Earth use bearing between the geographic north pole to determine the magnetic field across the planet and accurately create maps of the Earth. I also added a column for the directions as per the compass. How does the Bearing Calculator work? This page helps you to calculate great-circle distances betweentwo pointsusing the Haversine formula. Save my name, email, and website in this browser for the next time I comment. in a straight line along a great-circle arcwill take you d, where d is the angle at the centre of the earth between the points multiplied by the earth radius and is the angle of the arc on the surface compared to True North. This form will try to read whatever you enter and convert it to three formats: decimal degrees, degrees-minutes, and degrees-minutes-seconds. Draw a line connecting the start location to the end location. Find the bearing from the start to the finish point. Y = cos(39.099912) * sin(38.627089) sin(39.099912) * cos(38.627089) * cos(4.38101) = 0.32763159818398435 not -0.00681261948, I had the same problem but I could figure out what was wrong. Hi.. Because the shortest route [great circle on a sphere] from Vancouver to Bahrain almost goes over the north pole. latitudeB <- as.numeric(deg2rad(53.506769480000)), X = cos(latitudeB)*sin(abs(longitudeB-longitudeA)), Y = (cos(latitudeA)*sin(latitudeB))- (sin(latitudeA)*cos(latitudeB)*cos(abs(longitudeB-longitudeA))), bearingAngle <- atan2(X,Y) You have to convert your Lats and Longs to Radiant to get the correct results. Bearing is typically only represented in degrees (or degrees and minutes) rather than radians. This page is designed to help you calculate answers to some common geographic questions and draw maps from simple coordinates. The values that I got according to formulation for x and y are different!! So if you are from GIS field or dealing with GIS application, you should know bearing and how to calculate bearing with formula. X = cos(38.627089) * sin(4.38101) = -0.566840755 but not 0.05967668696 Because compasses and other instruments to measure the bearing angle are made of metal, they're affected by deviations in the Earth's magnetic field and metals that make up the Earth. The angle value can be specified in various angular units, such as degrees, mils, or grad.More specifically: Absolute bearing refers to the clockwise angle between the magnetic north (magnetic bearing) or true north (true bearing) and an object. Use a spreadsheet to convert a bearing (ex. They could measure the local time, wherever they were by observing the Sun, but navigation required that they also know the time at some reference point, e.g. I trying to understand the derivation of X and Y. I understand how the bearing is given in Radians as = atan2(X,Y) To convert he bearing to a direction angle, we start from the x-axis and go counter-clockwise until we reach the arrow. Last updated: Tue, 17 Jan 2017 23:24:24 GMT. I hope this article will definitely help you, to find the bearing or heading. The true bearing is the angle measured clockwise from north to this bearing. The Haversine formula Angles on a Cartesian Coordinate System, however, begin From 122W to 50E is almost diametrically opposite on the globe [172 difference]. With the geometry of the ocean before them, you can learn the ways scientists, engineers and other professionals use the angles between points in their navigation practices. q = tan-1 (Q h /Q v) = angle of the load in degrees . Measure the clockwise angle between the north line and this line. Why is my excel set 3 calculation not correct? You are free to share more data related to bearing or any thing that you uses to calculate bearing and how you use navigation with bearing. For a bearing angle of 180, the standard angle would be 270.Sep 24, 2019. The basic rating life of a bearing according to ISO 281 is where It is past 270 but less than 360 and so, it lies between west and north. The bearing of a point B from a point A in a horizontal plane is defined as the acute angle made by the ray drawn from A through B with the north-south line through A. These angle facts can be used to calculate bearings. a and b are the two other known side lengths, 20 and 35. The bearing is found as 90+53=143. . Bearings are usually written as a three-figure bearing. Deg decimal Calc Reset If you have a GPS receiver the display may be Longitude 117 degrees and 29.842 minutes. so this is NOT true: X = cos(38.627089) * sin(4.38101) Y = 38.627089 39.099912 = -0.472823. (If you enter decimal degrees in the degrees field, please clear the minutes and seconds fields, or they will be added in.) It accepts a variety of formats: And you can see it on a map (thanks to Google Maps), R = earths radius (mean radius = 6,371km) The angle is calculated by taking as base/reference the north geographic pole. Ham radio tools, bearings and distances calculators category is a curation of 12 web resources on , NS6T's Azimuthal Map, Ham radio digital modes, IOTA Bearing & Distance list for your QTH. What is the bearing of BC? Its actually = ( Latitude B Latitude A). This calculator determines the area of an irregular polygon using a traverse method given side lengths and bearings in degrees. but if i fix total sation in nober 1 is coming nomber 4 ok. A bearing is an angle, measured clockwise from the north direction. Learn how your comment data is processed. Also, explore many other unit converters or learn more about angle unit conversions. with 0 degrees to the right, and proceed counterclockwise with 90 degrees up, latitudes/longitudes. To understand how to also convert the units follow this example. 180+96.51 = 276.5126. Alternate angles are equal and are recognised by the z shape made between the two angles. Bearing to the closest quarter-point. Bearing would be measured from North direction i.e 0 bearing means North, 90 bearing is East, 180 bearing is measured to be South,and 270 to be West. For every 15 that one travels eastward, the local time moves one hour ahead. above equation is entered into cell B1. Let us assume a condition, where you want to find out the where will an Airplane will land up, if you havefollowing details of that Airplane, i.e actual distance it will travel, the bearing and the starting point (lat,lon)? The internal angle of the triangle is found by the difference between the bearings. Cartesian Coordinate System. If you end up with a negative answer, add 360, and if your answer is greater than 360, subtract 360 from it. Basic rating life For simplified calculations and to obtain an approximate value of the bearing life, the so-called "handbook method" is used to calculate the basic rating life . A bearing is always defined as an angle clockwise from north. "Conversion of units" Wikipedia, The Free Encyclopedia. NavLog . The bearing is indicated with the angle shown below. In GIS bearing angle is used for navigation or direction. The angle of a true bearing is always measured from north and the angle is always given in a clockwise direction. Long diff varies with how far from equator toward the pole you are, in other words varies with latitude. If you end up with a negative answer, add 360, and if your answer is greater than 360, subtract 360 from it. zenith, point on the celestial sphere directly above an observer on the Earth. Tool to find bearing angle between two lat lon points: Check out the following IGISMap tools to work with Bearing Angle. Step 4. So whats the heading or bearing? All lengths must use the same unit (feet, meters, yards, etc.). Bearing or heading angle is used to define navigation generally in the field of aircraft or marine or Vehicle navigation or while working for land surveying. bearing. Jan 13, 2016 #7 I used the same calculator to cross reference! This gives me: 43 360 = 15480. When converting radians back to degrees (deg = rad180/), West is negative if using signed decimal degrees. Each degree is divided into 60 minutes, and each minute further divided into 60 seconds. Save my name, email, and website in this browser for the next time I comment. I found this bearing formula very useful. You must refer Haversine distance formula before going through this post. a and b are the two known sides either side of the angle C. Therefore and so, the missing side c = 27.3 km. Bearings are usually given as a three-figure bearing. Improved curve calculator to allow solutions based on any two values; Allowed entry of quadrantal bearings; Moved HI and HT inputs to the main traverse area, removed from settings; Added records contents and sketch states to saved file contents (backward compatible) Added ability to draw lines as points are being stored The distances travelled make up the side lengths a, b and c and the internal angles of the triangle are A, B and C. In this example, the cosine rule is used to find a missing side length and then the sine rule is used to find a missing angle. FYI, Sacramento to Washington starts at 075 [ENE] and arrives at Washington at 104 [ESE]. Calculations . Calculate distance and bearing between two Latitude. A place travels 500 km on a bearing of 300. If you find anything difficulty to understand the bearing calculation, you may comment below, so that we will discuss further on finding bearing or heading angle. Weather . What are the 7 types of angles in surveying? NAD27 coordinates are presently used for broadcast authorizations The resulting angle is 180 (South) plus 15 degrees equals 195 degrees. While Heading is an angle or direction where you are currently navigating in. This calculator will find the distance between two pairs of coordinates to a very high degree of precision (using the thoroughly nasty Vincenty Formula, which accounts for the flattened shape of the earth). 2011. The bearing is the angle clockwise from north to west subtract . Bearing Rating Life Calculation "Rating life" is the bearing life calculated for 90% reliability. If LHA is greater than 180 its treated as a negative quantity. The function Distance and Azimuths Between Two Sets of Coordinates, shows this more clearly. To acquaint you with the style of compass bearings and units of distance measure, a is the side opposite to the angle we wish to find. For example, ferrous metals, those which have amounts of oxidized iron in the +2 electromagnetic state, cause magnetic fields that slightly change the direction that compasses point to make them not point directly at the Earth's north geographic axis. Enter latitude and longitude of two points, select the desired units: nautical miles (n mi), statute miles (sm), or kilometers (km) and click Compute. Very nice! The true bearing is often referred to simply as the bearing. Since the known sides are the adjacent and the opposite, use . Learn how your comment data is processed. Therefore, if we know the local times at two points on Earth, we can use the difference between them to calculate how far apart those places are in longitude, east or west. The horizontal is 90 with north and so the bearing is 90 + 20 = 110 as shown. divide by the value in the right column or, multiply by the reciprocal, 1/x. Don't worry, our experts can help clear up any confusion and get you on the right track. S. Hussain Ather is a Master's student in Science Communications the University of California, Santa Cruz. Wikipedia, The Free Encyclopedia, last visited 26 Jun. Solution: Bearing of AB = 164 - 15 Bearing of BA = 164 15 + 180 = 344 - 15 Now bearing of BC = bearing of BA + ABC = 344 15 + 117 30 = 461- 45 Since it is more than a complete circle, deduct 360. a very simple and elegant solution. Hopefully this helps. By knowing the conversion factor, converting between units can become a simple multiplication problem: Where S is our starting value, C is our conversion factor, and The bearing of 050 and the co-interior angle formed must total 180. You can see in gif given below. works by converting angles in either direction - with no modification! I suggest you to include other technical formulas like haversine formula. Simply to say thanks for the heads-up on igismap. For example, the bearing from A to B is 100. One degree is equalto 60 minutes and equal to 3600 seconds: 1" = (1/3600) = 2.77778e-4 = 0.000277778. The arrow of a magnetic compass always points north. The following sections present empirical formulas for the maximum allowable bearing loads for various shapes in contact. Find any missing angles inside the triangle, Step 3. 155 45 = 110. A negative j component is in the southern direction. For example, a boat travels with a constant velocity with the vector (-5i+2j) kmh-1. This calculator will find the distance between two pairs of coordinates to a very high degree of precision (using the thoroughly nasty Vincenty Formula, which accounts for the flattened shape of the earth). Applicants will find this program helpful in determining compliance with the minimum spacing table in 47 CFR 73.207 for FM stations or 47 CFR 73.610 for television stations. We first make a diagram including point A at the given bearing and determine the size of the angle between the positive x-axis and vector OA. Home Surveying Compass Surveying Bearings Convert Bearing Format (DDD MM.mmmm to DDD.dddd) Convert angles from "DDD MM.mmmm" format to "DDD.dddd". And then after applying encompass rule for the correction. How do you convert vertical angles to Zenith? Lide, David R., Daniel (Editor-in-Chief). A bearing is used to determine direction of one point relative to another point. i have problem with 4 point if checked between 1.2.3 is ok when i checked nober 4 coming wrong Since you can multiply anything by 1 and still retain the original value, but in different units, set it up so that radian will cancel out leaving you with degree. Degrees this gray angle is 180. And we now have our factor for conversion from radians to degrees since 1 * 57.29578= 57.29578. Left image: A bearing with no play, or an interference fit has all rolling elements loaded, wears and heats up excessively. Because of the curved surface, the angle from Point A looking to Point B generally will not be converse of the angle looking from Point B to Point A.

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