Earthly Branch Zi (子): Zi Hour, Rat Years, and Calendar Meaning

Earthly Branch Zi (子) is the first sign in the twelve-branch cycle. It is used to label time, months, years, directions, and positions in traditional Chinese calendrical and correlative systems. In widely used reference tables, Zi is associated with the Rat (鼠), Water, north, the winter season, and the double-hour commonly mapped to 11 p.m.–1 a.m.

Those associations belong to different historical layers. The written character has ordinary meanings such as “child” and “offspring”; the branch is a technical ordinal sign; the Rat is a later animal correspondence; and Water, Yin–Yang, hidden stems, combinations, and clashes come from traditional classification systems. Reading the layers separately makes Zi far clearer than treating it as a personality type or a prediction.

Rat figure, twelve-position ring, compass, water bowl, and midnight clock representing the layers of Earthly Branch Zi
Zi links a branch position with time, direction, Water, and the Rat correspondence—layers that developed in different contexts.

What Is Zi, the First Earthly Branch?

The Twelve Earthly Branches (十二地支, shí’èr dìzhī) are ordered Zi, Chou, Yin, Mao, Chen, Si, Wu, Wei, Shen, You, Xu, and Hai. The cycle repeats after Hai. Zi is therefore “first” as a position in a recurring sequence, much as January is first in one modern month sequence without being the origin of time itself.

Early written evidence shows the branches used for cyclical notation. Over time they became part of systems for naming days, years, months, and double-hours, and for arranging directions and the twelve zodiac animals. A Zi year, Zi month, Zi day, and Zi hour all contain the same branch sign, but they refer to different units.

Twelve plain counters arranged in a circle with the first position marked in muted green
Zi is first by position in a repeating twelve-branch sequence; the cycle continues after the twelfth branch.

How to Pronounce Zi (子)

In modern Standard Mandarin, 子 is pronounced , with the third tone. For an English speaker, “dzuh” can serve as a rough memory aid, but the Mandarin initial is closer to an unaspirated ts sound and the final has no exact English equivalent. In careful speech, the third tone falls and then rises; in a sentence, its contour may change with the surrounding tones.

Speaker at a studio microphone beside a brass ribbon shaped as a falling and rising tone contour
Modern Mandarin zǐ uses the third tone, whose careful form falls and then rises.

This is the modern Mandarin reading. It should not be presented as the sound used in Shang, Zhou, or Han times. Historical reconstructions vary by scholarly system, and the written sign is much older than modern pronunciation.

The Character Zi: Word Meaning vs Earthly Branch

子 is a common Chinese character as well as a branch sign. Depending on the word and period, it can mean a child, son, offspring, seed, egg, a small object, a component or subunit, or an honorific for a respected teacher or thinker, as in Kongzi (孔子, Confucius) and the Masters of early Chinese philosophy. It can also function as a noun-forming suffix in modern speech.

The Earthly Branch use is different: Zi works as the first label in a fixed twelve-part sequence. Its branch function should not be translated literally as “child,” “son,” or “seed” every time it appears in a date or time expression.

Early forms and the child pictograph

Oracle-bone and bronze forms associated with 子 depict a young child: a large head, moving arms, and comparatively undeveloped legs. The Chinese University of Hong Kong’s ancient-script database also records an important complication. An older graph, 𢀈, was used for the first branch, while 子 could appear in other uses. From the early Zhou onward, 子 increasingly replaced 𢀈 as the first branch sign.

This history is why a neat story that “Zi originally showed a seed sprouting underground” is misleading. “Seed” is one later lexical use of 子, and growth imagery became attached to the eleventh month in correlative thought, but neither fact proves that the branch sign began as a picture of germination.

Uninscribed oracle bone, bronze vessel fragment, brush, and blank paper arranged as stages of early Chinese writing
Oracle bone, bronze, and later writing materials frame the evidence used to study the early forms of 子.

What the Shuowen Jiezi says

The Han-dynasty dictionary Shuowen Jiezi glosses 子 with the line “十一月,陽氣動,萬物滋;人以為偁。象形,” linking the eleventh month, moving yang qi, the growth of things, a human term, and a pictographic explanation. The wording matters because it preserves an influential Han interpretation. It is not the same thing as an oracle-bone explanation of why the first branch was named Zi.

Later writers expanded this monthly growth theme into images of hidden beginnings, renewal, and “life before emergence.” These can be read as later symbolic interpretations, especially in Yijing and calendrical thought, rather than as literal character origins.

Brush, inkstone, blank bamboo slips, and winter light on a Han-inspired study desk
The Shuowen Jiezi preserves an influential Han interpretation, distinct from an oracle-bone account of the branch name.

Zi in the Twelve-Branch Cycle

The table below shows the most familiar modern reference correspondences. Clock times are conventional conversions of traditional double-hours, not proof that every historical community used the same standard clock.

PositionBranchAnimalCommon double-hourCardinal context
1Zi 子Rat 鼠23:00–01:00North
2Chou 丑Ox 牛01:00–03:00North-northeast
3Yin 寅Tiger 虎03:00–05:00East-northeast
4Mao 卯Rabbit 兔05:00–07:00East
5Chen 辰Dragon 龍07:00–09:00East-southeast
6Si 巳Snake 蛇09:00–11:00South-southeast
7Wu 午Horse 馬11:00–13:00South
8Wei 未Goat 羊13:00–15:00South-southwest
9Shen 申Monkey 猴15:00–17:00West-southwest
10You 酉Rooster 雞17:00–19:00West
11Xu 戌Dog 狗19:00–21:00West-northwest
12Hai 亥Pig 豬21:00–23:00North-northwest

The animal layer is the easiest to recognize today, but the branches are the underlying notation. For the wider animal sequence and its cultural use, see the Chinese zodiac symbols guide.

Twelve wooden counters on a circular record-keeping board with one counter being advanced
The branches function as a recurring notation for days, years, months, double-hours, and other ordered sets.

Zi Hour: Why It Is Commonly Mapped to 11 p.m.–1 a.m.

A traditional day could be divided into twelve shichen (時辰), each equivalent to about two modern hours. In the standard conversion used by institutions such as the Hong Kong Observatory, Zi hour runs from 23:00 to 01:00. It straddles modern midnight, which is why English explanations often call it the “midnight double-hour.” Traditional expressions such as yeban (夜半, midnight) and ziye (子夜, midnight or the middle of the night) are closely associated with this period.

The conversion is a practical bridge between two time systems. Historical time was kept with water clocks, watches of the night, sundials for daytime, local observation, and later mechanical clocks. Local solar time, seasonal conditions, and the absence of a single modern national time zone all matter. “Zi hour = 23:00–01:00” is useful today, but it should not be retrojected as one uniform ancient Beijing-time rule.

Traditional water clock beside a modern clock marked at midnight in a quiet night study
The familiar 11 p.m.–1 a.m. range is a modern conversion of a traditional double-hour, not one universal ancient clock standard.

Does the Chinese Day Begin at Zi Hour?

There is no single answer for every historical, calendrical, and divination context. A modern civil date changes at 00:00. Some later Four Pillars methods treat the beginning of Zi hour at 23:00 as the change of the day stem-branch. Other methods divide the period into “late Zi” before midnight and “early Zi” after midnight, assigning the date differently.

For anyone comparing an almanac, a historical record, or a birth chart, the sound method is to record the exact clock time, place, time zone, and the convention used by the source. The branch label alone cannot decide the date boundary.

Two parallel wooden timelines crossing a brass midnight marker at different transition points
Different calendrical and Four Pillars conventions can place the day change at different points around Zi hour.

Zi Month, the Lunar Eleventh Month, and Solar Terms

Three different calendars are often compressed into the phrase “Zi month,” creating avoidable confusion:

Moon-phase ring, solar observation instrument, and blank modern calendar book shown as three separate systems
A lunar month, a solar-term branch month, and a Gregorian month are defined by different cycles.
  • Lunar eleventh month: a synodic month beginning at a new moon. Under standard Chinese calendar rules, month 11 contains the winter solstice.
  • Solar-term or stem-branch Zi month: in a common Four Pillars convention, the interval from Heavy Snow (大雪) to Moderate Cold (小寒). These terms are solar-longitude markers, not lunar phases.
  • Gregorian month: a fixed civil-calendar month. No Gregorian month is permanently identical to either of the first two.

Heavy Snow, Winter Solstice, and Moderate Cold

In the solar-term sequence, Heavy Snow is at 255° of solar longitude, Winter Solstice at 270°, and Moderate Cold at 285°. The common solar-term Zi month therefore contains the winter solstice and spans the 30° sector between Heavy Snow and Moderate Cold. Its Gregorian dates fall around early December to early January, but the exact instant varies by year and time zone.

Winter Solstice and the Returning Hexagram

The phrase “at winter solstice, one yang returns” and the Returning Hexagram Fu (復) belong to Yijing-based calendrical and cosmological interpretation. The single unbroken line beneath five broken lines became a visual language for return after maximum decline. This is an influential symbolic tradition, not a measurement of a physical energy entering the body or the ground.

Quiet winter courtyard with a single returning sunbeam crossing stone and bare branches
Returning light at winter solstice is a durable seasonal image and later symbolic language, not a measured bodily force.

Zi as the Northern Direction

In the twelve-branch directional circle, Zi marks north, opposite Wu (午) at south; Mao (卯) marks east and You (酉) west. These four cardinal branches provide a simple spatial frame that also helps explain why Zi–Wu is one of the six opposite branch pairs.

On a traditional twenty-four-mountain compass, the northern sector is divided into Ren (壬), Zi (子), and Gui (癸), with Zi centered on due north. Zi is often placed within the Later Heaven Kan (坎) sector. That statement belongs to a particular compass and trigram arrangement; it should not be generalized to every ancient map, cosmological diagram, or school of directional practice.

Plain brass compass disk with a green center wedge in the three-part northern sector
In the twenty-four-mountain context, Zi occupies the centered position of the northern three-part sector.

Zi, Water, Yin–Yang, and Hidden Stems

Traditional reference tables commonly associate Zi with the phase Water (水). They also reveal why short labels such as “Yang Water” or “Yin Water” can appear contradictory: the labels refer to different layers.

Dark water bowl, winter branch shadow, black stone, and plain north-pointing compass on linen
Traditional tables commonly connect Zi with Water, north, and winter as parts of a correlative classification system.
LayerCommon Zi classificationHow to read it
Branch phaseWater 水A correlative Five Phases category
Branch polarity sequenceYang branchZi is first in an alternating branch sequence
Hidden stemGui 癸, Yin WaterA later Four Pillars table places the Yin stem Gui inside Zi
Seasonal associationMidwinter / northA calendrical-directional correspondence

The formula “Zi hides Gui” (子藏癸) is standard vocabulary in later BaZi teaching. Saying that Gui is its only hidden stem is clearer than describing Zi as “100 percent pure water.” Hidden stems are analytical categories, not a material composition. Images such as dark river, wisdom water, or imperial flourishing are interpretive metaphors used by particular schools.

Dark glass water bowl nested inside a larger dry ceramic basin to represent separate analytical layers
Zi is commonly classed as a Yang branch while its listed hidden stem, Gui, is Yin Water; these are separate layers.

Why Zi Is Paired with the Rat

Zi corresponds to the Rat in the established twelve-animal cycle. Textual evidence for a conventional branch-animal sequence is clear by the Eastern Han, and the pairing later became deeply embedded in calendars, art, tomb figures, festivals, stories, and everyday speech.

The exact historical reason for choosing Rat for Zi is not settled. Stories about a zodiac race, a rat opening heaven, a rat being active at midnight, or its front and rear paws crossing odd and even numbers are valuable folklore when tied to a particular telling. They should not be used as proof of the original pairing. The safe historical statement is that Zi–Rat was established early and later communities created several stories to explain it.

Terracotta Rat figure beside blank bamboo slips and a twelve-position counter board
The Zi–Rat pairing was established early and later became familiar in calendars, art, festivals, and stories.

Is a Zi Year the Same as a Rat Year?

In year naming, yes: a year whose Earthly Branch is Zi is a Rat year. The terms are not interchangeable everywhere, however. Zi can also name a month, day, hour, or direction, while “Rat year” refers specifically to the animal-year layer.

A complete traditional year name combines one Heavenly Stem and one Earthly Branch. Thus 2020 was Gengzi (庚子), not simply Zi. The branch identifies the Rat position; the stem supplies the first part of the pair. The Year of the Rat guide explores the animal-year tradition in greater depth.

Two interlocking wooden tiles beside a bronze Rat medallion and partial calendar ring
A complete year name combines one Heavenly Stem with one Earthly Branch; the Rat is the animal correspondence of Zi.

Where the Rat Year Begins

In modern public calendars and festival practice, the zodiac animal normally changes on Lunar New Year’s Day, the first day of the first Chinese lunar month. It does not change on January 1. Someone born in January or early February must check the actual lunar-new-year date for that year.

Some Four Pillars schools change the year stem-branch at Li Chun (立春, Spring Commences), usually around February 4. This is a calculation convention rather than the general festival boundary. When a date falls between Li Chun and Lunar New Year, a public zodiac calendar and a Four Pillars chart may label the year differently. The Benmingnian guide explains how the twelve-year birth-year custom is used in modern life.

Split scene with a Rat figure and lunar calendar objects on one side and a spring solar gnomon on the other
Public zodiac calendars usually change at Lunar New Year, while some Four Pillars methods use Li Chun.

The Five Rat-Year Types

“Wood Rat,” “Fire Rat,” “Earth Rat,” “Metal Rat,” and “Water Rat” are shorthand based on the Five Phases category of the year’s Heavenly Stem. Only the five yang stems pair with Zi because stem and branch pairings preserve odd-even polarity: Jia Wood, Bing Fire, Wu Earth, Geng Metal, and Ren Water.

Stem-branchCommon animal labelExample yearsYear-stem phase
Jiazi 甲子Wood Rat1924, 1984, 2044Jia 甲 = Yang Wood
Bingzi 丙子Fire Rat1936, 1996, 2056Bing 丙 = Yang Fire
Wuzi 戊子Earth Rat1948, 2008, 2068Wu 戊 = Yang Earth
Gengzi 庚子Metal Rat1960, 2020, 2080Geng 庚 = Yang Metal
Renzi 壬子Water Rat1912, 1972, 2032Ren 壬 = Yang Water

The recent sequence is therefore 1924 Jiazi, 1936 Bingzi, 1948 Wuzi, 1960 Gengzi, 1972 Renzi, 1984 Jiazi, 1996 Bingzi, 2008 Wuzi, 2020 Gengzi, 2032 Renzi, and 2044 Jiazi. These labels classify years; they do not assign a fixed temperament or life outcome to everyone born in them.

Five matching Rat sculptures made from wood, red ceramic, earth clay, brushed metal, and dark glass
Wood, Fire, Earth, Metal, and Water Rat labels follow the phase of the year’s Heavenly Stem.

Year-Stem Elements vs Na Yin Elements

Na Yin (納音) is a separate traditional classification applied to each two-year stem-branch pair. It often surprises readers because its phase can differ from the year stem. A Metal Rat label based on Geng does not make Gengzi’s Na Yin Metal; Gengzi belongs to the “Wall Earth” Na Yin pair.

Zi yearStem-based Rat typeNa Yin nameNa Yin phase
Jiazi 甲子Wood RatHaizhong Jin 海中金, “Metal in the Sea”Metal
Bingzi 丙子Fire RatJianxia Shui 澗下水, “Stream Water”Water
Wuzi 戊子Earth RatPili Huo 霹靂火, “Thunderbolt Fire”Fire
Gengzi 庚子Metal RatBishang Tu 壁上土, “Wall Earth”Earth
Renzi 壬子Water RatSangzhe Mu 桑柘木, “Mulberry Wood”Wood

English translations of Na Yin names vary. The reliable comparison is the Chinese term and its assigned phase, kept separate from the phase of the year stem.

Two separate wooden trays holding the same five material families in different orders
The phase of a year’s stem and the Na Yin phase of its complete pair are separate classifications and can differ.

Why Jiazi Begins the Sixty-Year Cycle

Jia (甲) is the first of ten Heavenly Stems and Zi the first of twelve Earthly Branches, so Jiazi (甲子) is the first pair. Both sequences advance one step at a time: Jiazi, Yichou, Bingyin, Dingmao, and so on. Because the cycles have lengths 10 and 12, they return together after the least common multiple, 60.

The odd-numbered yang stems pair with odd-numbered yang branches, while even-numbered yin stems pair with even-numbered yin branches. Only 60 of the 120 mathematically possible stem-branch combinations occur. Jiazi begins the list because it joins the first allowed stem and first allowed branch, not because a Jiazi year carries a measurable “creation energy.”

Ten-tooth and twelve-tooth gears inside a circular strand organized into six groups of wooden beads
Ten stems and twelve branches advance together and return to their starting pair after sixty steps.

Zi in Combinations, Clashes, Punishments, Harms, and Breaks

Later Four Pillars, almanac, and divination traditions organize branches through named relationships. The terms are part of an internal symbolic grammar; their conditions and importance vary by school. They are most useful here as a vocabulary map.

Twelve counters on a circular board linked from one green counter by several neutral cord geometries
Later systems map Zi through named groupings and pair relations; the terms form a technical vocabulary rather than a prediction.
Zi relationshipTraditional nameSystem note
Shen–Zi–Chen 申子辰San He Water grouping 三合水局A three-branch phase grouping
Hai–Zi–Chou 亥子丑San Hui northern grouping 三會北方Three adjacent northern branches
Zi–Chou 子丑Liu He pairing 六合One of six paired combinations
Zi–Wu 子午Chong 沖Opposite north–south branches
Zi–Mao 子卯Xing 刑Often called “incivility punishment” in later manuals; explanations differ
Zi–Wei 子未Hai 害One of six harm pairs in later tables
Zi–You 子酉Po 破A break pair used by some schools with less uniform emphasis

A complete chart method may ask whether branches are adjacent, repeated, seasonally supported, or changed by other stems and branches. Turning one pair into a prediction of conflict, relocation, financial loss, illness, or relationship failure removes it from that larger method and overstates what the terminology can say.

Researcher placing one green counter among many counters and intersecting cords on a large grid board
A single branch pair is only one part of a larger method that considers placement, repetition, season, and other signs.

Earthly Branch Zi vs Western Zodiac Signs

The Earthly Branches and the Western zodiac are separate historical systems. Zi is one position in a Chinese twelve-branch cycle used for time, dates, years, and directions. Capricorn and Aquarius are sectors of a zodiac defined through the Sun’s apparent position along the ecliptic in Western astrology.

Modern charts sometimes match Zi month with Capricorn because their dates partly overlap, or with Aquarius through symbolic similarities. The proposed matches vary and do not form a standard historical equivalence. Zi month also changes by solar-term instant, while a lunar month follows new moons, so neither can be equated with a fixed Western sun-sign date range.

Unlabeled twelve-position brass disk and separate armillary sphere with clear space between them
Earthly Branches and Western zodiac signs come from different historical systems and should not be treated as fixed equivalents.

Zi-Rat Gift Ideas

A Zi-Rat gift can celebrate a birth year, Lunar New Year, a family story, or an interest in calendar culture. The strongest choice begins with the recipient rather than a stereotype about people born in Rat years. Consider age, personal style, daily routine, cultural connection, budget, material, size, safety, and return terms.

Jewelry and small metal objects

Gold- or silver-tone Rat pendants, bracelets, charms, and small desk objects work best when the motif is clear and the proportions suit the recipient. Check the stated metal fineness, total weight, dimensions, clasp, chain length, surface finish, and sharp edges. For children, choose age-appropriate construction and treat detachable charms or beads as small parts.

Rat pendant with visible chain clasp beside a smooth metal Rat desk object and wooden sizing gauge
For Rat-themed metal gifts, check dimensions, weight, clasp construction, surface finish, and edge safety.

Paper, textile, tea, and collecting gifts

Rat-themed paper cuts, prints, woven ornaments, embroidered pouches, seals, notebooks, calendars, and books can foreground design and story without becoming personal fortune readings. A tea gift can pair a useful item with a short note explaining Zi and the Rat-year cycle. For stamps or limited-edition objects, confirm the issue, condition, edition details, seller return terms, and any workplace rules that apply to business gifts. Use the name of a specific craft or heritage project only when the maker and technique are clearly identified.

Red Rat paper cut, woven pouch, celadon tea ware, and archival album with a generic Rat illustration
Paper, textile, tea, and collecting gifts can foreground design, use, and cultural context.

Practical gifts for different ages

A Rat illustration can appear on a toy, puzzle, book, pen case, desk organizer, phone stand, or travel accessory. Match the object to what the person already uses. For toys, review the age range, battery access, cords, magnets, points, and removable parts. For company gifts, choose restrained designs and check the recipient’s gift policy before sending anything expensive.

Notebook, enclosed wooden Rat puzzle, pen, phone stand, ruler, and soft Rat toy with rounded construction
Choose practical gifts for the recipient’s real interests and review age range, size, construction, and removable parts.

What is a Zijinshu bead?

Zijinshu (紫金鼠, literally “purple-gold rat”) is a commercial name used for hard palm-family seeds or kernels fashioned into beads; one museum reference identifies a form made from queen-palm seeds. The name comes from color and rat-like holes or contours, not from the zodiac animal, and the material is not a gemstone.

If choosing this craft material, ask what plant seed is used and inspect the beads for cracks, damp odor, mold, unstable dye, loose fibers, rough drill holes, and weak cord. Keep seed beads dry, avoid sanding dust, and keep small components away from young children. Choose them for texture and handcraft appeal rather than because the word “rat” promises a personal result.

Strand of porous brown palm seed beads beside intact, cracked, and discolored loose examples
Zijinshu is a commercial craft name for palm-family seed beads; inspect botanical material for cracks, dampness, discoloration, and rough drilling.

For more symbolic objects organized by meaning and occasion, browse the Blessing collection.

A Clear Way to Read Zi

Zi becomes easier to understand when its layers remain visible. It is first a branch sign in a twelve-part cycle; 子 is also an ancient character with its own word history; Rat is the animal correspondence; 23:00–01:00 is a modern time conversion; Zi month can refer to a solar-term interval or, in another context, the lunar eleventh month; and Water, hidden stems, Na Yin, and branch relations are traditional classification systems.

Together, these layers show how one compact sign helped organize writing, calendars, time, direction, art, and festival culture across centuries—without turning it into a fixed description of a person.

Frequently Asked Questions

Zi (子) is the first of the Twelve Earthly Branches. It is used in traditional systems for naming times, months, days, years, and directions, and it corresponds to the Rat in the animal cycle.

Modern Standard Mandarin pronounces it zǐ, with the third tone. “Dzuh” is only a rough English aid; the Mandarin consonant and vowel do not have exact English matches.

Zi is first because it occupies position one in the conventional twelve-branch sequence. Later writers connected that position with renewal and hidden beginnings, but those are symbolic interpretations rather than the original pictographic meaning of 子.

Zi hour is commonly mapped to 11 p.m.–1 a.m. in the modern 24-hour system. It is a conventional conversion of a traditional double-hour and straddles modern midnight.

Not in every convention. Modern civil dates change at midnight; some Four Pillars methods change the stem-branch day at 11 p.m.; and others split Zi hour around midnight.

The branch Zi is conventionally associated with month 11, but “Zi month” may mean a solar-term interval from Heavy Snow to Moderate Cold. The lunar eleventh month follows new moons, so the two definitions should be kept separate.

Zi is commonly listed as a Yang branch associated with Water. In later hidden-stem tables it contains Gui, an Yin Water stem. The two labels refer to different classification layers.

The Zi–Rat pairing was conventional by the Eastern Han. Its exact origin is unsettled; stories about a race, midnight activity, or odd and even paws are later explanatory folklore.

When discussing years, a Zi year is a Rat year. Zi has wider technical use, however, because it can also identify a month, day, hour, or direction.

Public calendars and festival practice normally change the zodiac animal on Lunar New Year’s Day. Some Four Pillars methods use Li Chun, so early-February dates require the convention to be stated.

They are Wood Rat (Jiazi), Fire Rat (Bingzi), Earth Rat (Wuzi), Metal Rat (Gengzi), and Water Rat (Renzi). The phase comes from the year’s Heavenly Stem.

The animal label uses the phase of the year’s Heavenly Stem. Na Yin assigns another traditional phase-name to the complete two-year stem-branch pair, so the two categories can differ.

Jia is stem one and Zi branch one. Advancing the ten-stem and twelve-branch cycles together returns to the starting pair after 60 steps, the least common multiple of 10 and 12.

Later tables list Shen–Zi–Chen San He, Hai–Zi–Chou San Hui, Zi–Chou Liu He, Zi–Wu Chong, Zi–Mao Xing, Zi–Wei Hai, and Zi–You Po. Their interpretation and weight vary by school.

No standard historical equivalence connects Zi with either sign. Modern correspondence charts vary, and the Chinese branch, solar-term, lunar-month, and Western zodiac systems use different definitions.

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