How Many Eggs 95 Will Fail Answer? The 68 Latest Answer

Unfortunately… I didn’t get that right. can you find out

Here’s the riddle:

“I have six eggs with me. I broke two, boiled two and ate two. How many eggs are left?”

(Answer revealed below…)

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overview

If you are thinking about starting a family now or in the future, it can be helpful to know as much as possible about how your body works.

Read on to find out how many eggs you are born with and how that number changes over time. Also discover how egg quality changes with age and when you are most fertile.

How many eggs are women born with?

As a fetus, the ovaries contain between 6 and 7 million egg cells (follicles). These are the most eggs a female will ever have, as no more are produced after this time.

This number steadily decreases as the eggs die and are reabsorbed by the body during development, until it reaches around 1 to 2 million at the time of birth.

How many eggs does a woman have during puberty?

After birth, the number of egg cells in the ovaries continues to decrease. About 10,000 eggs die each month, leaving about 300,000 eggs (25%) at the time of

How many eggs does a woman have at 30?

. The average age for onset of puberty in women is 11 years.

After puberty, the number of dying eggs drops to around 1,000 per month. Women are most fertile in their 20s and fertility begins to decline more rapidly after 30 years.

It is estimated that 95% of females still have about 120,000 eggs by age 30 (12%), while by age 37 this number has fallen further to about 25,000 (3%). At the age of 30 you have the chance

each cycle is about 20%.

Discover

How many eggs does a woman have at 40?

After 37, the number of eggs decreases faster and your chance of conceiving is less than 5% per cycle. The exact number you have left depends on many factors, such as your genetics, when your period started, and whether you smoke.

How many eggs does a woman have at 50?

Menopause is when you have missed a period for more than 12 months and ovulation has stopped, making natural pregnancy impossible.

This usually happens between the ages of 45 and 55 – the average age in the UK for a woman to reach menopause is 51. At this point in life there are still around 1,000 eggs in the ovaries, but these are not fertilised.

How many eggs does a woman release each month?

Now that you know how many eggs you have at each stage of life, you may be wondering how many of those are released each month. If you are menstruating (have

), you will normally release 1 egg in each cycle. . Pregnancy occurs when sperm meet and fertilize this egg.

Very rarely more than 1 egg is released which, if fertilized, can result in a multiple pregnancy (e.g. twins or triplets). Occasionally you will not release an egg at all, which can be normal, or you may have an underlying condition such as polycystic ovarian syndrome or use hormone supplements

In total, between 300 and 400 egg cells are ovulated during a woman’s reproductive life. Research is ongoing into why the body selects a specific egg to ‘mature’ each month for ovulation, so we don’t yet know if higher quality eggs will be released earlier in a woman’s reproductive life.

When to talk to a doctor

Talk to a doctor if you have concerns about your fertility or to discuss options such as fertility testing, egg freezing, and others

You should also speak to a doctor for advice if:

You have been trying to conceive for more than a year or you are over 36 years old

were in treatment

You have irregular periods or very short or long cycles (less than 21 days or more than 35 days)

Your Health Questions Answered What Happens to Egg Quality with Age Answered by: Healthily’s Medical Team As we age, the number of eggs decreases and so does their quality. This reduces the chance of pregnancy and also increases the risk of miscarriage. This is especially true around the mid to late 30’s when both the quantity and quality of the oocytes decrease more rapidly.

How do I know how many eggs I have left? Answer from: The Healthily Medical Team If you want to find out how many eggs you have left, you can have an Anti-Müllerian Hormone (AMH) test. This is a simple blood test to check how many potential eggs you have left (ovarian reserve). If your ovarian reserve is high, you may have a better chance of getting pregnant. If it’s low, you may have trouble conceiving. The AMH test is not currently available from the NHS but can be taken privately.

The central theses

How does the female reproductive system work?

The female reproductive system performs multiple functions. The ovaries produce the egg cells called egg cells or egg cells. The eggs are then transported to the fallopian tube where fertilization by a sperm can take place. The fertilized egg then travels to the uterus, where the lining of the uterus has thickened in response to the normal hormones of the reproductive cycle. Once in the uterus, the fertilized egg can implant itself in the thickened uterine lining and continue to develop. If implantation does not occur, the uterine lining is shed as menstrual flow. In addition, the female reproductive system produces female sex hormones that maintain the reproductive cycle.

During menopause, the female reproductive system gradually stops producing the female hormones necessary for the reproductive cycle to function. At this point, menstrual cycles can become irregular and eventually stop. A year after the end of the menstrual cycle, the woman is considered menopausal.

What parts does the female anatomy consist of?

The female reproductive anatomy includes both external and internal structures.

The function of the external female reproductive organs (the genitals) is dual: to allow sperm to enter the body and to protect the internal genitals from infectious organisms.

The main external structures of the female reproductive system include:

Labia majora: The labia majora (“big lips”) enclose and protect the other external reproductive organs. During puberty, hair grows on the skin of the labia majora, which also contain sweat and oil glands.

: The labia majora (“big lips”) enclose and protect the other external reproductive organs. During puberty, hair grows on the skin of the labia majora, which also contain sweat and oil glands. Labia Minor: The labia minora (“little lips”) can come in a variety of sizes and shapes. They lie just inside the labia majora and surround the openings to the vagina (the canal that connects the lower part of the uterus to the outside of the body) and the urethra (the tube that carries urine from the bladder to the outside of the body). ). This skin is very sensitive and can easily become irritated and swollen.

: The labia minora (“little lips”) can come in a variety of sizes and shapes. They lie just inside the labia majora and surround the openings to the vagina (the canal that connects the lower part of the uterus to the outside of the body) and the urethra (the tube that carries urine from the bladder to the outside of the body). ). This skin is very sensitive and can easily become irritated and swollen. Bartholin’s glands: Located next to the vaginal opening on each side, these glands produce a liquid (mucus) secretion.

: These glands are located next to the vaginal opening on each side and produce a liquid (mucus) secretion. Clitoris: The two labia minora meet at the clitoris, a small, sensitive protrusion comparable to the male penis. The clitoris is covered by a fold of skin called the foreskin, which resembles the foreskin at the end of the penis. Like the penis, the clitoris is also very sensitive to stimuli and can become erect.

The internal reproductive organs include:

Vagina: The vagina is a canal that connects the cervix (the lower part of the womb) to the outside of the body. It is also called the birth canal.

: The vagina is a canal that connects the cervix (the lower part of the womb) to the outside of the body. It is also called the birth canal. Uterus (womb): The uterus is a hollow, pear-shaped organ that houses a developing fetus. The uterus is divided into two parts: the cervix, the lower part that opens into the vagina, and the main part of the uterus, the corpus. The body can be easily expanded to accommodate a developing baby. A duct through the cervix allows sperm to enter and menstrual blood to exit.

: The uterus is a hollow, pear-shaped organ that houses a developing fetus. The uterus is divided into two parts: the cervix, the lower part that opens into the vagina, and the main part of the uterus, the corpus. The body can be easily expanded to accommodate a developing baby. A duct through the cervix allows sperm to enter and menstrual blood to exit. Ovaries: The ovaries are small, oval-shaped glands located on either side of the uterus. The ovaries produce eggs and hormones.

: The ovaries are small, oval-shaped glands located on either side of the uterus. The ovaries produce eggs and hormones. Fallopian tubes: These are narrow tubes that attach to the top of the uterus and serve as pathways for the ova (ova) to travel from the ovaries to the uterus. The fertilization of an egg cell by a sperm normally takes place in the fallopian tubes. The fertilized egg then travels to the uterus, where it implants in the uterine lining.

What happens during the menstrual cycle?

Women of reproductive age (starting anywhere between the ages of 11 and 16) experience cycles of hormonal activity that repeat at about a month intervals. Menstru means “monthly” – leading to the term menstrual cycle. With each cycle, a woman’s body prepares for a possible pregnancy, whether that is the woman’s intention or not. The term menstruation refers to the periodic shedding of the lining of the uterus. Many women report the days they notice vaginal bleeding as their “period,” “menstruation,” or cycle.

The average menstrual cycle lasts about 28 days and is divided into phases. These phases include:

The follicular phase (development of the egg cell)

The ovulation phase (release of the egg cell)

The luteal phase (hormone levels drop when the egg fails to implant)

There are four main hormones (chemicals that stimulate or regulate the activity of cells or organs) involved in the menstrual cycle. These hormones include:

Follicle Stimulating Hormone

luteinizing hormone

estrogen

progesterone

follicular phase

This phase begins on the first day of your period. During the follicular phase of the menstrual cycle, the following events occur:

Two hormones, follicle-stimulating hormone (FSH) and luteinizing hormone (LH), are released from the brain and travel in the blood to the ovaries.

The hormones stimulate the growth of about 15 to 20 egg cells in the ovaries, each in its own “envelope” called a follicle.

These hormones (FSH and LH) also trigger increased production of the female hormone estrogen.

When estrogen levels rise, it acts like a switch, turning off the production of follicle-stimulating hormone. This careful balancing of hormones allows the body to limit the number of follicles that prepare the eggs for release.

As the follicular phase progresses, one follicle in one ovary becomes dominant and continues to mature. This dominant follicle suppresses all other follicles in the group. As a result, they stop growing and die. The dominant follicle continues to produce estrogen.

ovulatory phase

The ovulatory phase (ovulation) usually begins about 14 days after the start of the follicular phase, but this can vary. The ovulation phase lies between the follicular phase and the luteal phase. Most women have a menstrual period 10 to 16 days after ovulation. During this phase, the following events occur:

The increase in estrogen from the dominant follicle triggers an increase in the amount of luteinizing hormone produced by the brain.

This causes the dominant follicle to release its egg from the ovary.

When the egg is released (a process called ovulation), it is captured by finger-like projections at the end of the fallopian tubes (fimbriae). The fimbriae sweep the egg into the tube.

One to five days before ovulation, many women notice an increase in egg white cervical mucus. This mucus is the vaginal discharge that helps trap and nourish sperm on their way to the egg for fertilization.

luteal phase

The luteal phase begins right after ovulation and includes the following processes:

Once it releases its egg, the empty ovarian follicle develops into a new structure called the corpus luteum.

The corpus luteum secretes the hormones estrogen and progesterone. Progesterone prepares the uterus for implantation of a fertilized egg.

When intercourse has taken place and a man’s sperm has fertilized the egg (a process called conception), the fertilized egg (embryo) travels down the fallopian tube to implant itself in the uterus. The woman is now considered pregnant.

If the egg is not fertilized, it passes through the uterus. The lining of the uterus is not needed to support pregnancy and the lining of the uterus breaks down and the next menstrual period begins.

How many eggs does a woman have?

During fetal life, there are about 6 million to 7 million eggs. From this point on, no more new eggs are produced. At birth there are about 1 million eggs; and by the time of puberty there are only about 300,000 left. Of these, only 300 to 400 are ovulated during a woman’s reproductive lifetime. Fertility can decrease as the woman ages due to the decreasing number and quality of the remaining eggs.

This one is for all the eggitarians out there who can enjoy eggs in all meals. According to researchers, eggs are among the most nutritious foods in the world and are also versatile in preparation. From snacks to desserts, they’re easy to twist into flavorful delights. From proteins to fats to vitamins, eggs have them all. According to food experts, there are two types of edible eggs namely bird eggs and fish eggs. Check out these 6 flavors you can eat.

Egg production is a far cry from the idyllic picture of a mother hen perched on her nest. Big Ag corrupted the process and made cheap eggs at the expense of billions of tortured chickens. A desire to maximize revenue combined with decades of selective breeding of the most productive hens has resulted in every farm and hen producing an amazing number of eggs. However, this is at the expense of the chickens themselves, who have no means of escape.

As egg industry profits soared, so did chicken suffering. Even the highest welfare farms practice the needless killing of male chicks. Read on to find out what you can do to alleviate their suffering.

How are eggs produced?

battery cages

Battery cages are a major cause of chicken suffering and the use of battery cages is still the most widely used method of raising egg-laying chickens in the world. In the International Egg Commission countries, which include Nigeria, the US, Brazil and Germany, about 88.7 percent of hens are kept in battery cages.

The EU and the UK recently introduced battery cages with enriched cages. However, this name is misleading. Before the UK banned battery cages, chickens lived in cages about the size of a piece of paper. In their new cages, chickens only have 50 centimeters more time to spread their wings. They do have some other enrichments in their cages, like perches, litter, and nests, but enriched cages are still a shocking spectacle compared to a high welfare egg farm.

In the US, up to 95 percent of all eggs come from hens kept in battery cages. Battery cages prevent chickens from participating in a variety of natural behaviors such as dust bathing, foraging, resting and bone maintenance. Bone problems are common and the confined space causes frustration and more aggression and fighting between birds.

barn

Barn eggs are a higher welfare option, although they are far from perfect. Barns give chickens more space to move, explore, and stretch their wings. There are also perches for the birds to perch on. However, these can still be quite crowded with up to 6000 chickens in one coop. The chickens still have very little to do and spend most of their lives indoors with artificial lighting.

free range

Although there are regulations as to how much freedom of movement free range birds are allowed, most often they do not roam lush outdoor pastures as one might imagine. They stay indoors for most of their lives, and while they may have more space to explore, there’s often very little for them to investigate. Although these birds need some access to nature, the term “free range” could imply access to a small cordoned off area that many of the birds will not use. The crowded and chaotic nature of some free range farms is often shocking to some consumers. That’s because it doesn’t reflect the promise of more decent conditions that comes with the label.

Organic

Organic is the highest welfare option for commercially raised chickens, but there is still a lot of suffering on organic egg farms. Since organic chickens are often spared the tedious task of cleaning their beaks, the beaks remain sharp and the chickens injure themselves more when pecking. In organic egg production farms there is still pecking and fighting due to the lack of space.

While organic chickens are raised without antibiotics, which helps prevent antibiotic resistance, they are also at risk of contracting painful diseases and potentially passing them on to their human caretakers. With diseases as deadly as Spanish flu, which has killed around 40 million people, linked to chicken farms, this lack of protection from disease puts both the chickens and the surrounding communities at risk.

Production cycle of laying hens

hatchery

The eggs are kept in incubators for about three weeks until they begin to hatch. In nature, the mother hens would incubate the egg themselves. After 21 days, the chicks begin to hatch.

When the eggs hatch, the chicks are placed on a conveyor belt and checked to see if they are male or female. All male chicks and some of the weaker females are killed immediately. They are either gassed or smothered in plastic bags. Others are macerated, essentially blended alive.

The remaining chicks have the sharp tip of their beak removed with either a hot knife or a laser. These processes are both extremely painful as chicken beaks contain a delicate membrane and nerve endings. A beak is to a chicken what both hands and mouths are to us, and it is their primary tool for navigating the world; Deforming this is a major handicap for their quality of life. As a result of surgery, birds often eat less, peck less, become lethargic and inactive, and are unable to groom themselves or fight off lice effectively. The birds are also vaccinated against the many diseases found in crowded chicken farms.

Growing

Growing birds are referred to as pullets. These pullets are raised in barns or tiered systems to make the transition less stressful. At 16 weeks, the birds are well feathered and have better thermoregulation abilities. They are then transported to a laying plant.

Maturity

Up to an age of about 19 weeks, the birds have an acclimatization phase in the laying facility. At this stage they begin to lay eggs. Hens peak at laying one egg per day when they are about 25 to 39 weeks old. Chickens are kept under constant artificial lighting, manipulated to ensure maximum productivity. The lights are usually dim to keep the birds with little activity, but never completely off. This is different in the EU where chickens must get 8 hours of darkness per night.

Forced molting is still common practice in the US and Asia. Chickens naturally molt, shedding their old feathers and growing new ones, and during this time they stop producing eggs. Forced molting is triggered when producers starve the hens for a period of one to two weeks to ensure that all hens stop producing eggs at the same time. After forced molting, hens lay eggs at more productive rates. Forced molting is banned across Europe because it is unusually cruel to the hens.

Regardless of their age or sex, chickens on the vast majority of farms will never see the light of day or go outside, except perhaps for a brief moment when they are released and taken to slaughter.

How many eggs can a hen produce in a day?

Each chicken can produce a maximum of one egg per day. About 26 hours elapse between the laying of eggs and the development of the next. This means that on average a hen produces two eggs every three days.

There are over 390 million laying hens in the US alone. In 2019, US laying hens produced 113.25 billion eggs. That total was only surpassed by China, which produced a staggering 661.79 billion eggs in the same year. That means the US produces over 31 million eggs a day on average. In comparison, China produces over 181 million eggs a day.

The number of individual eggs produced worldwide each year is difficult to estimate, so it is given in tons: 82.17 million tons of eggs were produced worldwide in 2019, with an egg weighing an average of 50 grams. That equates to about 1.64 trillion eggs.

How Long Do Chickens Lay Eggs?

The average lifespan of a bird is about 72 weeks, but many don’t live that long. The abnormal amounts of eggs these hens lay often result in calcium deficiencies, meaning many birds suffer from osteoporosis and subsequently a high percentage of bone fractures, with some suffering between 3 percent and 17 percent of US birds with fractures.

What happens to old laying hens?

Old laying hens are mostly slaughtered with CO2 gas. Considered too tough for human consumption, their meat is sold to pet food companies and zoos, where it is fed to a variety of pets and animals. Old chickens are also sometimes processed into oil, which is used in various industries or simply thrown in the trash.

Is egg production profitable?

Global profits from the egg industry continue to rise. Analysts estimate that the international egg market will grow from US$213.13 billion in 2020 to US$227.39 billion in 2021. While the egg industry is still adjusting to the demand for cage-free chickens, it is not yet impacting its bottom line.

egg production statistics

egg consumption

In terms of both per capita and total egg consumption, China leads the world. The average person there eats 50 pounds of eggs a year. China is followed by Japan and Mexico in egg consumption per capita. As a general group, East Asians are the highest per capita consumers of eggs, followed by Central Americans. In 2017, Americans consumed an average of 15.57 kg of eggs per year.

Egg production and hen population

There are approximately 24.9 billion chickens in the world, including both layers and broilers. How many of these chickens are laying hens is unclear. In 2019, 82.17 million tons of eggs were produced worldwide. Modern laying hens typically produce and have between 276 and 300 eggs per year. Egg production continues to increase worldwide and has increased by 25 percent over the past decade.

Housing environments of US laying hens

As mentioned above, the vast majority of US chickens are kept in battery cages, up to 95 percent of them. However, there are some promising signs of change. Big egg consumers like McDonald’s and Denny’s have moved toward cage-free eggs. That is where the direction of change seems to flow. However, as discussed above, cage-free does not mean cruelty-free. As long as male chicks are killed en masse and chickens live in unsanitary conditions and cannot express their natural behaviors, the word humane for egg production will remain inappropriate.

US egg production by state

Iowa is the US state that produces the most eggs. It is home to the largest population of laying hens, about 51.4 million in 2020. Iowa is followed by Ohio, Indiana, Pennsylvania and Texas in that order.

utilization of eggs

Eggs are sold in supermarkets to the catering and food industries, who use them in foods such as cakes and pastries. American consumers preferred store-brand eggs to all others, with 204.9 million Americans using store-brand eggs in 2020.

Are Eggs Dairy?

Eggs are not dairy products. Dairy products are exclusively those products that are made from animal milk. Only mammals produce milk, and chickens are birds. Eggs contain the material that will develop into an embryo and then a chick, but before it is fertilized.

Chickens need our help

Humans have been eating chicken eggs for thousands of years. However, the modern egg industry is a breed unto itself, where chickens are crammed into tiny cages where their rich social life is stifled and crushed. Even free range, chicken welfare is often poor, and organic chickens tend to injure each other and spread disease.

The modern laying hen has changed dramatically from its red junglefowl ancestors, who laid twelve instead of three hundred eggs in a year. Such changes have been at the expense of the welfare of these birds. Consumers must decide if their eggs are worth more than the lives of billions of innocent animals.

The following is a description of the instance of this famous puzzle with n=2 eggs and a building with k=36 floors.

Suppose we want to know from which floors in a 36-story building eggs are safe to fall and from which the eggs break upon landing. We make a few assumptions:

…..An egg that survives a fall can be used again.

…..A broken egg must be disposed of.

…..The effect of a fall is the same for all eggs.

…..If an egg breaks when dropped, then it would break if dropped from a higher floor.

…..If an egg survives a fall, it would survive a shorter fall.

…..It is not excluded that the windows on the first floor will break eggs, and it is also not excluded that no egg will break on the 36th floor.

If we only have one egg and we want to be sure of getting the right result, the experiment can only be done one way. Drop the egg from the first floor window; If it survives, drop it from the second floor window. Keep going up until it breaks. At worst, this method can require 36 feces. Suppose 2 eggs are available. What is the minimum amount of egg droppings guaranteed to work in all cases?

The problem isn’t really finding the critical floor, just deciding which floors to drop eggs from so that the total number of attempts is minimized.

Source: Dynamic Programming Wiki

Method 1: recursion.

In this post, we will discuss a solution to a common problem with “n” eggs and “k” floors. The solution is to try to drop an egg from each floor (from 1 to k) and recursively calculate the minimum number of poo required in the worst case. The soil that gives the minimum value in the worst case will be part of the solution.

In the following solutions, we return the minimum number of tries in the worst case; These solutions can easily be modified to also print the floor numbers of each trial.

Importance of a worst case scenario: The worst case scenario gives the user the reassurance of the sleeper floor. For example: if we have ‘1’ egg and ‘k’ floors, we start dropping the egg from the first floor until the egg on the ‘kth’ floor breaks, so the number of tries is our safety to give ‘k’. .

1) Optimal substructure:

If we drop an egg from a floor x, there can be two cases (1) The egg breaks (2) The egg doesn’t break.

If the egg breaks after falling from the “xth” floor, we only have to look for floors lower than “x” with the remaining eggs, since there should be a floor below “x” where the egg would not break; So the problem is reduced to x-1 floors and n-1 eggs. If the egg doesn’t break after falling from the “x” floor, we just have to look for floors higher than “x”; So the problem is reduced to “k-x” floors and n eggs.

Since we need to minimize the number of worst-case trials, we take a maximum of two cases. We consider the maximum of the above two cases for each floor and choose the floor that gives the minimum number of trials.

k ==> number of floors

n ==> number of eggs

eggDrop(n, k) ==> Minimum number of trials needed to find the critical one

soil at worst.

eggDrop(n, k) = 1 + min{max(eggDrop(n – 1, x – 1), eggDrop(n, k – x)), where x is in {1, 2, …, k}}

Worst case concept:

For example :

Let there be ‘2’ eggs and ‘2’ floors, then-:

If we try to throw from the 1st floor:

Worst case number of trials = 1+max(0, 1)

0=>If the egg breaks on the first floor, then it’s the threshold floor (at best possible).

1=>If the egg doesn’t break from the first stick, we now have “2” eggs and 1 stick to test, which will give as an answer

‘1’.(worst case possibility)

We consider the worst case possibility, i.e. 1+max(0, 1)=2

If we try to throw from the 2nd floor:

Worst case number of trials = 1+max(1, 0)

1=>If the egg breaks on the second floor, we must have 1 egg and 1 floor to find the threshold floor. (Worst case)

0=>If the egg doesn’t break out of the second floor, then it’s the threshold floor. (best case)

We take the worst-case possibility for security, which is 1+max(1, 0)=2.

The final answer is min(1st, 2nd, 3rd….., k. floor)

So the answer here is “2”.

Below is the implementation of the above approach:

C++

#include using namespace std; int max( int a, int b) { return (a > b) ? a: b; } int eggDrop( int n, int k) { if (k == 1 || k == 0) return k; if (n == 1) return k; int min = INT_MAX, x, res; for (x = 1; x <= k; x++) {res = max( eggDrop(n - 1, x - 1), eggDrop(n, k - x)); if (res < min) min = res; } return min + 1; } int main() { int n = 2, k = 10; cout << "minimum number of tries" "worst case with " << n << " eggs and " << k << " floors is " << eggDrop(n, k) << endl; return 0; } c #include #include int max( int a, int b) { return (a > b) ? a: b; } int eggDrop( int n, int k) { if (k == 1 || k == 0) return k; if (n == 1) return k; int min = INT_MAX, x, res; for (x = 1; x <= k; x++) {res = max( eggDrop(n - 1, x - 1), eggDrop(n, k - x)); if (res < min) min = res; } return min + 1; } int main() { int n = 2, k = 10; printf ( "nMinimum number of tries in the " "worst case with %d eggs and %d floors is %d " , n, k, eggDrop(n, k)); return 0; } Java public class GFG { static int eggDrop( int n, int k) { if (k == 1 || k == 0 ) return k; if (n == 1 ) return k; int min = Integer.MAX_VALUE; int x, resolution; for (x = 1 ; x <= k; x++) {res = Math.max(eggDrop(n - 1 , x - 1 ), eggDrop(n, k - x)); if (res < min) min = res; } returns min + 1 ; } public static void main(String args[]) { int n = 2, k = 10; System.out.print( "Minimum number of " + "worst case attempts with " + n + " eggs and " + k + " floors is " + eggDrop(n, k)); } } Python3 import sys def eggDrop(n, k): if (k == 1 or k == 0 ): return k if (n == 1 ): return k min = sys.maxsize for x in range ( 1 , k + 1 ): res = max (eggDrop(n - 1 , x - 1 ), eggDrop(n, k - x)) if (res < min ): min = res return min + 1 if __name__ = = "__main__" : n = 2 k = 10 print ( "minimum number of worst case trials with" , n, "eggs and" , k, "floors is" , eggDrop(n, k)) C# with system; class GFG { static int eggDrop( int n, int k) { if (k == 1 || k == 0) return k; if (n == 1) return k; int min = int .MaxValue; int x, resolution; for (x = 1; x <= k; x++) { res = Math.Max(eggDrop(n - 1, x - 1), eggDrop(n, k - x)); if (res < min) min = res; } return min + 1; to maintain. static void Main() { int n = 2, k = 10; Console.Write( "Minimum number of " + "worst case trials with " + n + " eggs and " + k + " floors is " + eggDrop(n, k)); } } Javascript

Output Minimum number of trials in worst case with 2 eggs and 10 floors is 4

Output:

The minimum number of attempts in the worst case with 2 eggs and 10 floors is 4

It should be noted that the function above calculates the same subproblems over and over again. See the following partial recursion tree, E(2, 2) is evaluated twice. There are many repetitive subproblems when drawing the complete recursion tree even for small values ​​of n and k.

E(2, 4) | ————————————————– | | | | | | | | x=1/ x=2/ x=3/ x=4/ / / …. …. / / E(1, 0) E(2, 3) E(1, 1) E(2, 2) / /… / x=1/ ….. / E(1, 0) E(2, 2) / …… Partial recursion tree for 2 eggs and 4 floors.

Complexity Analysis:

Time Complexity: Since there is a case of overlapping subproblems, the time complexity is exponential.

Since there is a case of overlapping subproblems, the time complexity is exponential. Auxiliary space :O(1). Because no data structure was used to store values.

Because the same sub-problems are invoked again, this problem has the Overlapping Sub-Problems property. So Egg Dropping Puzzle has both properties (see this and this) of a dynamic programming problem. As with other typical dynamic programming (DP) problems, recalculations of the same subproblems can be avoided by creating a temporary array eggFloor[][] from bottom to top.

Method 2: Dynamic Programming.

In this approach, we work on the same idea as described above, but neglect the case where the answers to subproblems are computed over and over again. The approach is to create a table in which to store the results of sub-problems, to solve a sub-problem it would only require a look-up in the table, which would take a constant time, which used to be an exponential one took time.

Formally, to fill in DP[i][j], specify where “i” is the number of eggs and “j” is the number of floors:

For each floor “x” we need to traverse from “1” to “j” and find at least:

(1 + max( DP[i-1][j-1], DP[i][j-x] )).

This simulation will make things clear:

i => number of eggs

j => number of floors

Look for maximum

Let’s fill in the table for the following case:

Floors = “4”

Eggs = “2”

1 2 3 4

1 2 3 4 => 1

1 2 2 3 => 2

For “Ei-1”, each case is the base case, which is the

The number of attempts is equal to the floor number.

“Ei-2” requires “1” try for the 1st

ground that is base case.

For Floor-2 =>

Below 1st floor 1 + max(0, DP[1][1])

Below 2nd floor 1 + max(DP[1][1], 0)

DP[2][2] = min(1 + max(0, DP[1][1]), 1 + max(DP[1][1], 0))

For Floor-3 =>

Below 1st floor 1 + max(0, DP[2][2])

Below 2nd floor 1 + max (DP[1][1], DP[2][1])

Below 3rd floor 1 + max(0, DP[2][2])

DP[2][3]= min(‘every three floors’) = 2

For Floor-4 =>

Below 1st floor 1 + max(0, DP[2][3])

Below 2nd floor 1 + max (DP[1][1], DP[2][2])

Below 3rd floor 1 + max (DP[1][2], DP[2][1])

Below 4th floor 1 + max(0, DP[2][3])

DP[2][4]= min(‘every four floors’) = 3

C++

#include using namespace std; int max( int a, int b) { return (a > b) ? a: b; } int eggDrop(int n, int k) { int eggFloor[n + 1][k + 1]; int res; int i,j,x; for (i = 1; i <= n; i++) { eggFloor[i][1] = 1; eggFloor[i][0] = 0; } for (j = 1; j <= k; j++) eggFloor[1][j] = j; for (i = 2; i <= n; i++) { for (j = 2; j <= k; j++) { eggFloor[i][j] = INT_MAX; for (x = 1; x <= j; x++) {res = 1 + max( eggFloor[i - 1][x - 1], eggFloor[i][j - x]); if (res < eggFloor[i][j]) eggFloor[i][j] = res; } } } return eggFloor[n][k]; } int main() { int n = 2, k = 36; because << " The minimum number of " "worst-case trials with " << n<< " eggs and " << k<< " floors is " << eggDrop(n, k); return 0; } C #include #include int max( int a, int b) { return (a > b) ? a: b; } int eggDrop(int n, int k) { int eggFloor[n + 1][k + 1]; int res; int i,j,x; for (i = 1; i <= n; i++) { eggFloor[i][1] = 1; eggFloor[i][0] = 0; } for (j = 1; j <= k; j++) eggFloor[1][j] = j; for (i = 2; i <= n; i++) { for (j = 2; j <= k; j++) { eggFloor[i][j] = INT_MAX; for (x = 1; x <= j; x++) {res = 1 + max( eggFloor[i - 1][x - 1], eggFloor[i][j - x]); if (res < eggFloor[i][j]) eggFloor[i][j] = res; } } } return eggFloor[n][k]; } int main() { int n = 2, k = 36; printf(" Minimum number of attempts " "in the worst case with %d eggs and " "%d floors is %d " , n, k, eggDrop(n, k)); return 0; } Java class EggDrop { static int max( int a, int b) { return (a > b) ? a: b; } static int eggDrop( int n, int k) { int eggFloor[][] = new int [n + 1 ][k + 1 ]; int res; int i,j,x; for (i = 1 ; i <= n; i++) { eggFloor[i][ 1 ] = 1 ; eggFloor[i][0] = 0 ; } for (j = 1 ; j <= k; j++) eggFloor[ 1 ][j] = j; for (i = 2 ; i <= n; i++) { for (j = 2 ; j <= k; j++) { eggFloor[i][j] = Integer.MAX_VALUE; for (x = 1 ; x <= j; x++) {res = 1 + max( eggFloor[i - 1 ][x - 1 ], eggFloor[i][j - x]); if (res < eggFloor[i][j]) eggFloor[i][j] = res; } } } return eggFloor[n][k]; } public static void main(String args[]) { int n = 2, k = 10; System.out.println( "Minimum number of tries in the worst" + " case with " + n + " eggs and " + k + " floors is " + eggDrop(n, k)); } } Python3 INT_MAX = 32767 def eggDrop(n, k): eggFloor = [[ 0 for x in range (k + 1 )] for x in range (n + 1 )] for i in range ( 1 , n + 1 ): eggFloor[ i][ 1 ] = 1 eggFloor[i][ 0 ] = 0 for j in range ( 1 , k + 1 ): eggFloor[ 1 ][j] = j for i in range ( 2 , n + 1 ): for j in range ( 2 , k + 1 ): eggFloor[i][j] = INT_MAX for x in range ( 1 , j + 1 ): res = 1 + max (eggFloor[i - 1 ][x - 1 ], eggFloor[i][j - x]) if res < eggFloor[i][j]: eggFloor[i][j] = res return eggFloor[n][k] n = 2 k = 36 print ( "Minimum number of attempts in the worst case with " + str (n) + " eggs and " + str (k) + " floors is " + str (eggDrop(n, k))) C# with system; class GFG { static int max( int a, int b) { return (a > b) ? a: b; } static int eggDrop( int n, int k) { int [, ] eggFloor = new int [n + 1, k + 1]; int res; int i,j,x; for (i = 1; i <= n; i++) { eggFloor[i, 1] = 1; eggFloor[i, 0] = 0; } for (j = 1; j <= k; j++) eggFloor[1, j] = j; for (i = 2; i <= n; i++) { for (j = 2; j <= k; j++) { eggFloor[i, j] = int .MaxValue; for (x = 1; x <= j; x++) { res = 1 + max(eggFloor[i - 1, x - 1], eggFloor[i, j - x]); if (res < eggFloor[i, j]) eggFloor[i, j] = res; } } } return eggFloor[n, k]; } public static void Main() { int n = 2, k = 36; Console.WriteLine( "Minimum number of trials " + "worst case with " + n + " eggs and " + k + "floors is " + eggDrop(n, k)); } } PHP Javascript

Output Minimum number of trials in the worst case with 2 eggs and 36 floors is 8

Complexity Analysis:

Time complexity: O(n*k^2).

Where "n" is the number of eggs and "k" is the number of floors, since we are using a nested for loop "k^2" times for each egg

O(n*k^2). Where "n" is the number of eggs and "k" is the number of floors, since we use a nested for loop "k^2" times for each egg Auxiliary space: O(n*k).

As a 2-D array of size "n*k" is used to store elements.

Method 3: Dynamic programming with memoization.

C++

#include using namespace std; #define MAX 1000 vector> memo(MAX, vector< int > (MAX, -1)); int solveEggDrop( int n, int k) { if (memo[n][k] != -1) { return memo[n][k];} if (k == 1 || k == 0) return k ; if (n == 1) return k; int min = INT_MAX, x, res; for (x = 1; x <= k; x++) {res = max( solveEggDrop(n - 1, x - 1), solveEggDrop(n, k - x)); if (res < min) min = res; } memo[n][k] = min+1; return min + 1; } int main() { int n = 2, k = 36; cout< #include #include #define MAX 1000 int memo[MAX][MAX]; int solveEggDrop( int n, int k) { if (memo[n][k] != -1) { return memo[n][k];} if (k == 1 || k == 0) return k ; if (n == 1) return k; int min = INT_MAX, x, res; for (x = 1; x <= k; x++) { int a = solveEggDrop(n - 1, x - 1); int b = solveEggDrop(n, k - x); res = a>b?a:b; if (res < min) min = res; } memo[n][k] = min+1; return min + 1; } int main() { memset ( memo, -1, MAX * MAX * sizeof ( int ) ); int n = 2, k = 36; printf ( "%d" ,solveEggDrop(n, k)); return 0; } Java import java.util.Arrays; class GFG { static final int MAX = 1000 ; static int [][] memo = new int [MAX][MAX]; static int solveEggDrop( int n, int k) { if (memo[n][k] != - 1 ) { return memo[n][k]; } if (k == 1 || k == 0 ) return k; if (n == 1 ) return k; int min = Integer.MAX_VALUE, x, res; for (x = 1 ; x <= k; x++) {res = Math.max(solveEggDrop(n - 1 , x - 1 ), solveEggDrop(n, k - x)); if (res < min) min = res; } memo[n][k] = min + 1 ; return min + 1 ; } public static void main(String[] args) { for ( int i = 0 ; i var MAX = 1000; var memo = Array(MAX).fill().map(()=>Array(MAX).fill(-1)); function solveEggDrop(n , k) { if (memo[n][k] != -1) { return memo[n][k]; } if (k == 1 || k == 0) return k; if (n == 1) return k; var min = number.MAX_VALUE, x, res; for (x = 1; x <= k; x++) {res = Math.max(solveEggDrop(n - 1, x - 1), solveEggDrop(n, k - x)); if (res < min) min = res; } memo[n][k] = min + 1; return min + 1; } var n = 2, k = 36; document.write(solveEggDrop(n, k));

exit 8

Another approach:

The O(n * k^2) approach has already been discussed, where dp[n][k] = 1 + max(dp[n – 1][i – 1], dp[n][k – i] ) for i in 1…k. You've checked all the possibilities in this approach.

Look at the problem in a different way:

dp[m][x] means that given x eggs and m movements, the maximum number of floors can be checked. The dp equation is: dp[m][x] = 1 + dp[m - 1][ x - 1] + dp[m - 1][x], which means we make 1 move a floor. If the egg breaks, we can check dp[m - 1][x - 1] floors. If the egg doesn't break, we can check dp[m - 1][x] floors.

C++

#include using namespace std; int minTrials( int n, int k) { vector > dp(k + 1, vector< int >(n + 1, 0)); intm = 0; while (dp[m][n] using namespace std; int minTrials( int n, int k) { int dp[n + 1] = { 0 }, m; for (m = 0; dp[n] < k; m++) { for ( int x = n; x > 0; x--) { dp[x] += 1 + dp[x - 1]; } } return m; } int main() { cout << minTrials(2, 10); return 0; } output 4 Complexity Analysis: Time complexity: O(n * log k) O(n * log k) auxiliary space: O(n) As an exercise, you can try modifying the DP solution above to print all mezzanines (the floors used for the minimum test solution). More Efficient Solution: Egg Drop Puzzle (Solution for binomial coefficients and binary search) Egg dropping puzzle with 2 eggs and K floors 2 eggs and 100 floor puzzle &t=3s References: http://archive.ite.journal.informs.org/Vol4No1/Sniedovich/index.php Please write comments if you find something wrong or want to share more information on the topic discussed above.

directions

Design a landing craft that will protect your egg passenger when falling from a great height. Use the design cycle for this experiment: design your landing craft, test it to see if it works, change your design to improve it, and test it again to get new results.

Gather your materials. You need a container, interior padding and exterior protection to safely land your boat. There are no "right" materials, so be creative and try lots of things to see what works best! Draw your design ideas on paper. How does your lander look like? What materials will you use? First, try using just one container, some kind of inner padding, and some kind of outer padding. Build your landing gear and put your egg in it. Test it by dropping your device from above. If the egg doesn't crack, your design is a success! If the egg breaks, make changes to your design and test again.

What's happening?

Gravity is an attractive force - it pulls on a mass, i. H. the "stuff" that something is made of. Earth's gravity pulls on you and keeps you on the ground; It also holds the atmosphere and moon in place. If you drop your landing craft, gravity will pull it to the ground.

The interior padding surrounding your egg cushions the payload in the container, like airbags in a car protecting passengers in a crash. The outer protection on the outside of the container protects the egg by absorbing the impact felt when the landing craft hits the ground.

tips

For a little less mess, use a hard-boiled egg (you'll still see the cracks). You can also cover the landing area with a trash bag or place the raw egg in a sealed plastic bag before placing it in the landing craft.

extensions

Once you're successful, try dropping the egg from a higher height or increasing your payload to two eggs. Try to land your vehicle on different types of surfaces like grass, pavement or water. How does the surface affect your landing? How could this change your vehicle design?

Host a friendly competition: who can get their egg to the surface the fastest? The slowest? From the farthest distance? With the fewest jumps?

Literature Recommendations

Aerospace Engineering and the Principles of Flying by Anne Rooney

Rosie Revere, Andrea Beaty's engineer

Suppose you have two eggs and you want to determine from which floors in a hundred-story building you can drop an egg that doesn't break. You should determine the minimum number of tries you need to find the critical bottom with the best strategy in the worst case.

If the egg doesn't break on a certain floor, it won't break on any floor below either.

If the eggs on a given floor break, they will break on every floor above.

The egg can break on the ground floor.

The egg must not break on the last floor.

One might be tempted to use binary search to solve this problem, but actually this isn't the best strategy, and you'll see why. Try to find out for yourself and answer this question or read on for a detailed explanation of the problem.

Submit Your Answer You are asked to find the top floor of a 100-story building from which an egg can be dropped without breaking it. You have two eggs to drop from the building, and you can keep dropping your eggs until they break. Which floor should you drop your first egg from to maximize your chances of dropping the eggs as little as possible?

In binary search, you would have to drop the first egg from the 5 0. 50^\text{th} 50th floor. If it doesn't break, you would drop the same egg from the 7th 5th 75^\text{th} 75th and so on; in the best case you could cover all floors with 7 drops.

But what if the egg breaks on the first try, i.e. on the 5 0. 50^\text{th} 50th floor? When this happens, you are required to drop the remaining egg from each floor until you find n ∗ n^* n∗, which has the potential for 49 49 49 drop tests, which is O ( n ) O(n) O( n) is. .

Remember that the problem is to determine the critical floor n∗n^*n∗ so you can't break your last egg before finding it. Dropping the last egg from the 25th 25^\text{th} 25th floor would be pretty risky, because if it breaks you wouldn't be able to determine the critical floor. It is clear that binary search is not the optimal solution. Knowing this, what is the best strategy? Which floor should you start from? What is the minimum number of worst case drops you would have to do with the best strategy?

Starting from 14.14^\text{d} 14th floor is the best strategy because, as we will show, the worst case number of tries is always 14.

What if the first egg on floor 14 breaks?

When the first egg breaks on the 14.14^\text{th} 14th floor, we should check the first floor, then the second, until the 13.13^\text{th} 13th floor floor. This would make the total number of attempts 14.

When the first egg breaks on the ground, we should check the first stick, then the second to the ground. If you do this, the total number of attempts is 14. What if it doesn't break?

Then you should check the 2 7th 27^\text{th} 2 7th floor. Why? Because if it breaks, you would have to check all floors from 15.15^\text{th} 15th to 26.26^\text{th} 26th (thirteen floors), which leaves the total number of attempts at 14 ( \big( ( first Trial on 1 4th 14^\text{th} 1 4th floor, second on 2 7th 27^\text{th} 2 7th floor, and the twelve remaining drops from 1 5th 15^\text{th} 1 5th floor to 2 6th 26^\text{th} 2 6th floor ) . \big). ) .

And if it doesn't break, you'd have to check the 3 9th 39^\text{th} 39th floor; If it breaks, you would need to check all floors from the 28th 28^\text{th} 28th to the 3 8th 38^\text{th} 38th. ( \big( (Remember, one try on the 14th 14^\text{th} 14th floor, the second try on the 27th 27^\text{th} 27th floor, the third try on the 39th floor 39th ^\text{th} 39th floor, and the 11 remaining trials on floors { 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 } \{28,29,30,31,32 ,33,34,35,36,37\} {28,29,30,31,32,33,34,35,36,37} and 38, a total of 14 trials in this case. ) \big) )

Using the same reasoning, you should floor the 5 0. 50^\text{th} 50th, the 6 0. 60^\text{th} 60th, the 6 9th 69^\text{th} 69th, check the 7th floor 7th 77^\text{th} 77th, 8th 4th 84^\text{th} 84th, 9th 0th 90^\text{th} 90th, 9th 5th 95th ^\text{th} 95th, the 9 9th 99^\text{th} 99th and finally the 10 0th 100^\text{th} 100th See? With this strategy you would cover all floors and the number of attempts would never be more than 14, even in the worst case.

Wonder how this table could look like if there were 3 eggs!! ...

Other strategies, such as binary search, would require fewer tries in some cases (as in our first example), but in the worst case ( ( (in our second example, where the egg broke at 5 0. 50^\text{ th} 50th floor and worst case it took 50 drops ) . ). ).

From this we can conclude that with a different strategy you would need more than 14 tries in the worst case.

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A woman's biological clock can estimate her monthly chance of having a baby. Between the ages of 15 and 45, there are still about 200,000 eggs in reserve. Within this 30 year period and with a normal monthly menstrual cycle, you have an estimated 550 available oocytes per month in which only one prime oocyte is released.

A healthy 30-year-old who conceives each month has an 18% chance of conceiving each month. This means that out of 100 fertile 30-year-old women who try to conceive during a cycle, 18 will conceive and the other 82 will have to try again. A 40-year-old woman has a 5% chance of getting pregnant if she tries every month.

Eggs come from chickens and chickens come from eggs: this is the basis of this age-old riddle. But eggs - which are only female sex cells - evolved more than a billion years ago, while chickens have only existed for 10,000 years. So the riddle is easily solved...or is it?

At face value there is no doubt that the egg came before the chicken. We tend to think of eggs as shelled balls of birds from which to hatch their chicks — unless we eat them first. But all species that reproduce sexually produce eggs (the specialized female gametes). That's 99.99 percent of all eukaryotic life—that is, organisms that have cells with a nucleus—that is, all animals and plants and everything but the simplest life forms.

We don't know exactly when sex evolved, but it could have been 2 billion years ago and certainly more than 1 billion. Even the specialized species of bird eggs, with their tough outer skin, evolved more than 300 million years ago.

As for chickens, they arose much later. They are domesticated animals that evolved in such a way that humans intentionally selected the least aggressive wild birds and had them bred. This appears to have happened independently at several locations, beginning around 10,000 years ago.

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The wild ancestor of chickens is widely recognized as a tropical bird that still lives in the forests of Southeast Asia, dubbed red junglefowl — with other junglefowl species possibly contributing to the genetic mix. From these origins, humans have been carrying chickens around the world for the last two millennia or more.

So eggs are much older than chickens. But to do justice to the spirit of the riddle, we should also consider whether a hen's egg is older than a chicken. As humans consistently selected the tamest red jungle chickens and bred them together, the genetic make-up of the resulting birds will have changed. Sometime during this domestication process, the red junglefowl (Gallus gallus) evolved into a new subspecies, Gallus gallus domesticus, also known as the chicken.

In practice, it is impossible to determine when this happened. But theoretically, at some point two jungle chickens were bred and their offspring were genetically different enough from their parents' species to be classified as chickens. This chicken would have developed in a jungle fowl egg and only produced the very first chicken egg when it reached maturity. In that sense, the chicken came first.

How many eggs does a woman have?

When talking about female fertility, one of the most frequently asked questions, especially for people interested in egg freezing, is "How many eggs does a woman have?" Or more specifically, "How many eggs do I have?" That's a good question, but the answer depends a lot on what time in the woman's life you're talking about, as well as individual variance. And because there are so many natural differences between women, it's important to know what you can do to test your own egg reserve. And what about the egg quality? Are quantity and quality dependent?

These are all great questions, so let's get started.

brief info

The highest number of eggs a woman will ever have occurs around the 20th week of pregnancy (before they are born and are still in the womb). At this point they have about 6-8 million eggs. From this point on, no more new eggs will be made.

Oocytes constantly degenerate and undergo a cell death process known as atresia.

From puberty onwards, a new batch of eggs is selected each day to begin development. The number of eggs that leave the "waiting pool" each day depends heavily on the woman's age.

During the main reproductive years, approximately 30-40 eggs leave this waiting pool and begin to develop each day (one thousand per month). Of these, only 1/10 enter a menstrual cycle and typically only one egg is fully developed and ovulated.

Because many ova begin to develop but die before ovulation, a woman will go through about 300,000-400,000 ova in her reproductive years, but will only ovulate at 300-400 ova.

The average woman runs out of eggs and menopause begins around the egg of 52.

Egg quality, while not directly related to quantity, is correlated. Generally, as a woman ages, both the quality and quantity of her eggs decrease.

How many eggs does a woman have at birth?

A woman is typically born with around 1-2 million eggs in her ovaries. Unlike men, who constantly produce new sperm to replenish their sperm count, women stop producing eggs. Even more unexpectedly, by the 20th week of gestation (halfway through pregnancy) the females have produced all the eggs they will ever produce. Usually this number is around 6-8 million.

How many eggs does a woman have during puberty?

Although a woman does not normally start menstruating and has the ability to conceive until she is between the ages of 10 and 15, eggs constantly degenerate and are lost throughout childhood and adolescence. As a prepubescent female, about 10,000 eggs degenerate and "die" each month. This means that by the time a woman reaches puberty, she only has 300,000-400,000 eggs left in her ovaries.

How many eggs does a 30-year-old woman have?

Of course there are big differences among women; some are tragically diagnosed with Primary Ovarian Insufficiency (POI, also known as Premature Ovarian Failure) in which a woman runs out of balls in her 20's or 30's, while other women continue well into their 30's and even 40's with an incredibly high rate ovarian reserve are blessed.

Of course, when we talk in general terms about how many eggs a woman has in her 30s, we are talking about averages and estimates. Women in their early 30s are generally better off than women in their late 30s because ovarian reserve decreases sharply in the late 30s. For example, a woman in her 30s often has around 100,000-150,000 eggs in reserve. At 35, that number is probably around 80,000. By the late 1930s, that number could be 25,000, 10,000 or less.

How many eggs does a woman have at 40?

After the rapid decline in egg count from age 37, a woman's ovarian reserve is often estimated to be around 5-10,000 by the time she reaches 40 years of age. But here, too, there are no uniform answers. While the chances of conceiving in your 40s are generally quite low, there are women who will conceive naturally well into their 40s, and even more who will do so using IVF or IVF with donor eggs.

How many balls does a woman have at 50?

By age 50, women probably only have a few hundred eggs left, if any. The median age of menopause is around 51-52 years, although smoking and other factors can cause menopause to start earlier. Chemotherapy and radiation, in particular, have a very toxic effect on egg count.

When the eggs run out, the ovaries stop producing estrogen and the woman begins menopause.

What happens to all the lost eggs?

As you have just read, at the peak of her fertility, a woman loses about 1,000 eggs each month but only ovulates once. No one knows exactly why evolution hasn't found a more efficient way to evolve eggs, but let's cover what we do know so we can at least begin to understand what happens to those 999 eggs that are lost each month.

Every day 30-40 eggs are recruited from the waiting pool and begin to develop. Approximately 500-1000 eggs are developed at any one time.

From recruitment from the waiting pool to ovulation (if they are so lucky), eggs take around 85-90 days to develop. About 70 of these days precede the menstrual cycle when the egg can be ovulated.

Eggs become sensitive to FSH (the hormone that stimulates the final phase of this development) about 70 days after leaving the holding pool.

At the end of a woman's menstrual cycle and at the beginning of the new cycle, there is an increase in FSH.

An egg that started its developmental journey about 70 days earlier should now respond to FSH and be pulled into the menstrual cycle for the final stage of development and a chance to ovulate. Eggs recruited much more than 70 days earlier would have wilted and died by this time. Younger egg cells would not yet be sensitive to FSH and would continue to develop. By the time an egg is about "50 days old" in the next cycle, it is almost 80 days old and dead. Eggs that are around 40 days old would be around 70 days old in the next cycle and could have a chance to respond to FSH and be pulled into the next menstrual cycle.

This means that egg cells only have a chance of ovulating if they start their development in a small window of days (about 1/10th of all days). Oocytes leaving the holding pool on other days are unlikely to be pulled into the final stages of development by FSH or have no chance of ovulating.

Now that we've got that covered, let's take a look at the good old trusty calendar scrawled with scribbles to understand this.

As you can see, only eggs that leave the waiting pool in that small window - roughly 70 days before the start of a given cycle - have even the slightest chance of being selected as an ovulating egg.

The exact number of oocytes that leave the “resting pool” each day (and thus would be ready to reach the final stage of development 70 days later, if this coincides with the rise in FSH at the end of a cycle) depends heavily on the age of the Woman. When a female is in her teens or twenties, an average of 30-40 eggs may leave the still pool each day. A woman in her late 30's might only have ten balls leaving that pool of tranquility each day.

Interestingly, one of the main reasons IVF works so well is that the hormones taken during IVF “save” a large number of those eggs that are around “70 days old” at the start of the cycle. In a natural cycle, one of the 100 oocytes/follicles has more FSH receptors than all the others and rapidly outgrows the others; this essentially marks it as the egg to be ovulated. During an IVF cycle, FSH is administered in such high concentrations that these other 99 follicles with fewer FSH receptors can be tricked into fully developing by saturating them with FSH at whatever receptor they have. In this way, IVF enables women to produce more than 100 eggs each month (this is of course an “ideal” situation and IVF usually only yields 5-30 mature eggs).

How do I know how many eggs I have right now?

Unfortunately, there's no foolproof way to know exactly how many eggs you have or how good they are. However, fertility doctors have tricks (tests) to give you an idea of ​​how many eggs you might have.

Blood count: An anti-Müllerian hormone blood hormone test measures the amount of AMH in your blood. AMH is produced by cells in the follicles and helps doctors estimate the number of eggs in the ovaries and how you are responding to fertility drugs. The higher your AMH level, the more eggs you are likely to have in reserve. An average AMH level for a fertile woman is anywhere in the 1.0-4.0 ng/mL range, but can vary quite a bit with age. Interestingly, AMH is not stable month-to-month, so it doesn't provide a definitive answer. There is also a lot you can do to improve your fertility and AMH levels.

: An anti-Müllerian hormone blood hormone test measures the amount of AMH in your blood. AMH is produced by cells in the follicles and helps doctors estimate the number of eggs in the ovaries and how you are responding to fertility drugs. The higher your AMH level, the more eggs you are likely to have in reserve. An average AMH level for a fertile woman is anywhere in the 1.0-4.0 ng/mL range, but can vary quite a bit with age. Interestingly, AMH is not stable month-to-month, so it doesn't provide a definitive answer. There is also a lot you can do to improve your fertility and AMH levels. Transvaginal ultrasound: Your doctor may do an ultrasound for an antral follicle count. The follicles visible in the ultrasound are counted. Each follicle contains an immature egg that could mature and possibly ovulate. By seeing how many follicles there are in the mantra follicle count, a medical provider could extrapolate and give you an estimate of how many ova you could have in total. Keep in mind that younger, more fertile women are releasing more eggs from the waiting pool each day and therefore would likely have more follicles when doing an antra follicle count.

Are egg quality and quantity related?

While they are certainly not intermarried, there are some correlations between age and egg quantity, and age and egg quality. Unfortunately there is no real measure of egg quality as there is egg quantity. The only real way to tell is to fertilize an egg and determine if it is fertilized, will develop into an embryo, and test the embryo with either preimplantation genetic testing or if the embryo will develop into a fetus and a healthy one baby developed.

A study shown below clearly shows that the number of abnormal embryos (and therefore likely abnormal eggs and poor egg quality) increases dramatically as a woman ages.

While there is no guarantee that they go hand-in-hand, there is strong evidence that the average egg cell deteriorates with age and ovarian reserve decreases.

bottom line

Women have all the eggs they will ever have while they are around 20 weeks gestation (while they are a fetus in the womb). By this time they will have around 6-8 million eggs and from then on their egg count will steadily decrease due to natural processes. When a woman is born she has 1-2 million eggs left and by the time she reaches puberty she has around 300,000-400,000 eggs.

During a woman's reproductive years, she loses about 1000 eggs but only ovulates one egg per month. If you ask how many eggs a woman has, that answer largely depends on her age, toxic exposures such as smoking, chemotherapy, and radiation. However, because there are so many natural differences in the population, tests can be done to determine how many eggs you may have left. And if you think a dwindling egg count might be a problem, egg freezing is a medical treatment that can help preserve your fertility.