What does Bitcoin do to the environment?

Bitcoin’s energy consumption is a major concern. Each transaction uses a significant amount of electricity, leading to substantial carbon emissions. Think of it like driving a car – a single Bitcoin transaction’s carbon footprint is roughly equivalent to driving a gasoline car between 1,600 and 2,600 kilometers (1,000 and 1,600 miles).

This is because Bitcoin relies on a process called “mining,” where powerful computers compete to solve complex mathematical problems to verify transactions. This process is incredibly energy-intensive. The more people use Bitcoin, the more energy is consumed. The electricity used often comes from fossil fuels, exacerbating the environmental impact.

Several factors contribute to this high energy consumption: the increasing number of transactions, the growing network’s complexity, and the energy efficiency of the mining hardware used. While some miners are transitioning to renewable energy sources, a substantial portion still relies on non-renewable energy.

The environmental impact is a hot topic of debate, and various solutions are being explored, including more energy-efficient mining hardware and a shift towards renewable energy sources for mining operations. However, the current environmental cost of Bitcoin remains a significant challenge.

Is Bitcoin mining good for environment?

Bitcoin mining’s environmental impact is a complex issue, sparking heated debate. While critics often highlight its significant energy consumption, a nuanced perspective reveals a more intricate reality.

The Argument for Positive Environmental Impact: Proponents argue that Bitcoin mining can act as a catalyst for renewable energy adoption. By providing a lucrative market for excess energy from wind and solar farms – energy that might otherwise be wasted – Bitcoin mining incentivizes the development and expansion of renewable energy infrastructure. This “surplus energy” argument posits that Bitcoin mining utilizes energy that would not otherwise be consumed, thus reducing overall waste and potentially accelerating the transition to cleaner energy sources. This is particularly relevant in regions with abundant renewable energy resources but limited grid capacity.

The Counterarguments and Nuances: However, this perspective isn’t universally accepted. Critics point to the considerable energy consumption of Bitcoin mining, particularly from sources like coal-fired power plants in regions with less developed renewable energy infrastructure. This highlights a crucial geographic disparity: the environmental impact varies significantly depending on the energy mix powering the mining operations.

Regulatory Scrutiny and its Impact: The environmental concerns surrounding Bitcoin mining have led to increased regulatory scrutiny globally. This manifests in various ways:

  • Incentives: Some jurisdictions offer incentives to miners who utilize renewable energy sources, aiming to steer the industry towards a more sustainable path.
  • Restrictions: Conversely, other regions are implementing restrictions, including outright bans or limitations on mining activities, particularly those powered by fossil fuels.

The Path Forward: The future of Bitcoin mining’s environmental impact hinges on several factors, including technological advancements in mining efficiency, the continued expansion of renewable energy capacity, and the effectiveness of regulatory frameworks designed to promote sustainable practices within the industry. The ongoing debate necessitates a thorough analysis of the energy mix powering Bitcoin mining operations, factoring in geographical variations and technological developments.

Beyond Energy Consumption: It’s important to note that the environmental impact isn’t solely limited to energy consumption. The manufacturing of mining hardware and its eventual disposal also contribute to the overall environmental footprint, demanding consideration and sustainable solutions.

What will happen to Bitcoin if the economy crashes?

While Materazzi’s point about Bitcoin’s volatility is valid, it’s a simplification. During an economic crash, investors often flock to safe haven assets like gold, but this doesn’t automatically mean Bitcoin will crash. Bitcoin’s decentralized nature and limited supply could actually make it attractive to those seeking an alternative to traditional, potentially failing, financial systems.

Historically, Bitcoin has shown resilience during some economic downturns, though the sample size is limited. Its price action isn’t always directly correlated with traditional market crashes. For example, the 2025 COVID-19 crash saw Bitcoin initially drop but recover relatively quickly as investors sought digital gold.

However, the “risk” is real. A major economic crisis could trigger widespread panic selling, especially if investors need to liquidate assets to cover debts. This would likely negatively impact Bitcoin’s price, potentially dramatically.

The key takeaway is that Bitcoin’s behavior during a major economic downturn remains uncertain. Its lack of established history in such events makes it a high-risk, high-reward investment, far riskier than a proven safe haven asset like gold. This uncertainty shouldn’t be underestimated.

In what ways could crypto become environmentally friendly?

The cryptocurrency industry is actively seeking solutions to its environmental impact, and a key development is the rise of proof-of-stake (PoS) consensus mechanisms. Unlike the energy-intensive proof-of-work (PoW) used by Bitcoin, PoS significantly reduces energy consumption. Instead of miners competing to solve complex mathematical problems, PoS validators are chosen based on the amount of cryptocurrency they hold, making the process far more efficient.

Cardano, a prominent example, utilizes a PoS algorithm called Ouroboros, which boasts substantially lower energy requirements compared to PoW systems. This allows for a more sustainable approach to blockchain technology.

Powerledger, another notable example, focuses on utilizing blockchain technology for renewable energy trading. Its PoS mechanism supports a decentralized and transparent platform, improving the efficiency and sustainability of energy markets.

Beyond specific cryptocurrencies, the industry is exploring other environmentally friendly avenues. This includes the increasing use of renewable energy sources to power mining operations and the development of more efficient hardware for validating transactions. Research into novel consensus mechanisms also holds great promise for further reducing the environmental footprint of cryptocurrency.

It’s important to note: While PoS offers a significant improvement, the overall environmental impact of a cryptocurrency depends on various factors beyond just the consensus mechanism. Energy sources used, transaction volume, and network efficiency all play a crucial role.

Is Bitcoin or ethereum better for the environment?

The question of whether Bitcoin or Ethereum is better for the environment is complex, but a key difference lies in how they verify transactions.

Bitcoin uses a system called Proof-of-Work (PoW). Think of it like a massive global puzzle competition. Miners compete to solve complex mathematical problems, and the first to solve it gets to add the next batch of transactions to the Bitcoin blockchain and earns Bitcoin as a reward. This process requires enormous amounts of energy.

Ethereum used to also use Proof-of-Work. However, it recently switched to Proof-of-Stake (PoS). Instead of a competition to solve puzzles, PoS works by selecting validators based on how much cryptocurrency they “stake” (lock up) in the network. These validators then verify transactions. This is far less energy-intensive.

  • PoW’s energy consumption: Bitcoin’s PoW system has drawn significant criticism for its substantial energy usage, contributing to carbon emissions.
  • PoS’s energy efficiency: Ethereum’s shift to PoS dramatically reduced its energy consumption and carbon footprint. The energy usage is now significantly lower compared to Bitcoin.

Therefore, currently, Ethereum is considered significantly better for the environment than Bitcoin due to its transition to PoS. However, it’s important to note that even with PoS, Ethereum still consumes some energy. The environmental impact of both cryptocurrencies remains a subject of ongoing discussion and research.

How does cryptocurrency compare to carbon footprint?

The environmental impact of cryptocurrencies, like Bitcoin, is a complex issue often misunderstood. While a single Bitcoin transaction’s carbon footprint is frequently cited as equivalent to driving a gas-powered car for over 500 miles, this is a simplification and depends heavily on the energy mix used for mining.

The comparison to Visa transactions (1.4 million Visa transactions = 1 Bitcoin transaction) is also misleading. This highlights the energy inefficiency of Proof-of-Work (PoW) consensus mechanisms like Bitcoin’s. However, it ignores several critical factors:

  • Transaction volume: Bitcoin’s transaction volume is significantly lower than Visa’s. Therefore, the total carbon footprint per year might be less than implied by the individual transaction comparison.
  • Mining efficiency improvements: The energy consumption of Bitcoin mining is constantly evolving. As mining hardware becomes more efficient and renewable energy sources are increasingly utilized, the carbon footprint per transaction is gradually decreasing.
  • Alternative consensus mechanisms: Many cryptocurrencies use different consensus mechanisms, such as Proof-of-Stake (PoS), which are significantly more energy-efficient than PoW. PoS networks have dramatically lower environmental impacts. Ethereum’s recent shift to PoS exemplifies this significant improvement.

It’s crucial to understand that the environmental impact varies greatly depending on the specific cryptocurrency and the energy source used for its mining or validation. Therefore, blanket statements comparing all cryptocurrencies are inaccurate and oversimplified.

  • Research specific cryptocurrencies before investing to understand their environmental impact.
  • Support and invest in projects utilizing sustainable and energy-efficient consensus mechanisms.
  • Be aware that the field is constantly evolving, and environmental concerns are driving innovation towards more sustainable solutions.

What effects does Bitcoin have on the economy?

Bitcoin’s effect on the economy is complex and still being understood. It’s a decentralized digital currency, meaning no single bank or government controls it. This can be good because it potentially reduces reliance on traditional financial systems and offers a way for people in countries with unstable currencies to access and store value. However, because it’s not regulated like traditional currencies, it’s extremely volatile. Its price can swing wildly in short periods, making it a risky investment.

This volatility is a major concern for economic stability. If businesses or individuals invest heavily in Bitcoin and its price crashes, they could lose a significant amount of money, potentially impacting the broader economy. Imagine a company holding a large portion of its assets in Bitcoin – a sharp price drop could severely impact its operations and even threaten its survival.

Another aspect is its energy consumption. Bitcoin mining, the process of creating new Bitcoins, requires vast amounts of electricity, raising environmental concerns. The electricity used often comes from fossil fuels, contributing to carbon emissions.

Furthermore, Bitcoin’s potential for use in illicit activities like money laundering is a significant concern. Its anonymity features can make it harder to track and regulate such activities.

In short, Bitcoin’s influence is a double-edged sword. While it offers potential benefits in terms of financial inclusion and technological innovation, its volatility, energy consumption, and potential for misuse present considerable economic challenges.

How does Bitcoin help the poor?

Bitcoin, and cryptocurrencies in general, offer a powerful, albeit nascent, tool in the fight against extreme poverty. It’s not a silver bullet, but its potential is undeniable. The ability to bypass traditional, often corrupt or inefficient, financial systems is key. Micro-donations become viable through low transaction fees, enabling direct support to those in need, bypassing intermediaries who often siphon off significant portions of aid. This creates a far more efficient and transparent distribution of charitable funds. Furthermore, crypto’s inherent decentralization allows for the creation of new financial systems, specifically designed for the unbanked. Think decentralized finance (DeFi) applications, offering microloans, savings accounts, and insurance products to individuals who would otherwise be excluded from the formal financial system. The potential for financial inclusion is transformative. We’re talking about empowerment through access to capital and financial tools, fostering entrepreneurship and economic growth at the grassroots level. Beyond direct aid, the volatility of crypto, while risky for some, can also create significant wealth accumulation opportunities. Smart charitable investment strategies in crypto could lead to exponential growth in donated funds, maximizing the impact on poverty alleviation initiatives.

Is bitcoin mining a waste of energy?

The energy consumption of Bitcoin mining is a complex issue. While the annual electricity usage is often compared to that of a country like Poland, this comparison omits crucial context. The actual energy intensity is highly variable, depending on the mix of renewable energy sources used by miners and the efficiency of their hardware. Furthermore, the economic value generated by Bitcoin must be considered when evaluating its energy cost. This value includes transaction fees, speculation, and the potential for future growth. The argument that Bitcoin’s energy usage is inherently wasteful ignores the potential for positive externalities like incentivizing renewable energy adoption – as miners increasingly seek out cheaper, greener power sources. The water footprint, estimated at the equivalent of 660,000 Olympic-sized swimming pools between January 2025 and December 2025, primarily reflects the cooling needs of mining operations, and this too varies based on location and cooling technology used. While significant, these figures should be analyzed alongside the evolving regulatory landscape and technological advancements that continually improve Bitcoin mining’s energy efficiency.

Importantly, the narrative around Bitcoin’s energy consumption often oversimplifies the situation. It’s essential to differentiate between the total energy usage and the marginal energy usage. The total energy consumed is a static figure, while the marginal energy relates to the energy consumed for each additional transaction or block mined. Improvements in hardware and mining techniques continuously reduce this marginal energy consumption, making the network more energy-efficient over time. Focusing solely on the total energy consumption without acknowledging these ongoing improvements leads to an incomplete and potentially misleading picture.

Finally, the environmental impact of Bitcoin mining is an ongoing subject of research and debate. While the energy usage is substantial, a comprehensive assessment requires analyzing the entire lifecycle, including the manufacturing and disposal of mining hardware, as well as comparing it to the environmental footprint of other financial systems and technologies.

Can Bitcoin survive without mining?

Bitcoin mining, the backbone of Bitcoin’s security and functionality, relies on energy-intensive, specialized hardware costing hundreds or even thousands of dollars. These machines, often ASICs (Application-Specific Integrated Circuits), compete to solve complex cryptographic puzzles, validating transactions and adding new blocks to the blockchain. Without this process, the entire Bitcoin network would collapse.

Proof-of-work, the consensus mechanism powering Bitcoin, ensures network security by making it computationally expensive for malicious actors to tamper with the blockchain. Miners are rewarded with newly minted Bitcoin and transaction fees for their efforts, incentivizing them to maintain the network’s integrity. The difficulty of these puzzles adjusts dynamically to maintain a consistent block generation time, approximately 10 minutes.

The absence of mining would render Bitcoin’s core functionality obsolete. There would be no mechanism to validate transactions, no new Bitcoin would be created, and the network would be vulnerable to attacks. While alternative consensus mechanisms like proof-of-stake exist in other cryptocurrencies, they are fundamentally different and incompatible with Bitcoin’s current architecture.

The high energy consumption of Bitcoin mining is a frequently debated topic. However, it’s important to note that the energy is used to secure a decentralized, censorship-resistant financial system. The environmental impact is a significant concern, and the ongoing development of more energy-efficient mining hardware and renewable energy sources are crucial for the long-term sustainability of Bitcoin.

In essence, Bitcoin’s survival is intrinsically linked to its mining process. It is not merely a costly operation but the very foundation upon which the entire system is built.

Does Bitcoin mining increase the electric bill?

Yes, Bitcoin mining significantly increases electricity bills. Bitcoin mining uses powerful computers to solve complex mathematical problems, validating transactions and adding them to the blockchain. This process requires a massive amount of electricity.

How it affects electricity bills:

  • Increased demand: The sheer volume of electricity consumed by mining operations puts a strain on local power grids, potentially leading to higher electricity prices for everyone.
  • Higher energy costs for miners: Miners themselves obviously face substantially higher electricity bills.
  • Potential for blackouts: In areas with limited grid capacity, large-scale mining operations can contribute to power outages.

Beyond electricity bills:

  • Environmental impact: The high energy consumption contributes to increased carbon emissions, air and water pollution from power generation, especially if the energy source isn’t renewable.
  • Noise pollution: The powerful mining rigs generate significant noise, potentially disturbing nearby residents.

Interesting fact: The electricity consumption of Bitcoin mining is comparable to the yearly energy use of entire countries. This has led to discussions about the sustainability of Bitcoin and the need for more energy-efficient mining techniques and a shift towards renewable energy sources.

In short: Bitcoin mining’s electricity usage isn’t just a personal expense; it has broad environmental and economic consequences.

Will Bitcoin become obsolete?

Bitcoin’s longevity is tied to its first-mover advantage and established network effect. While newer cryptos offer improvements in speed and scalability, Bitcoin’s brand recognition and perceived security remain powerful assets. It’s unlikely to become obsolete entirely, at least not in the next decade. Speculative trading will continue to drive demand, particularly as institutional adoption slowly but steadily increases.

However, it’s crucial to understand the challenges:

  • Scalability: The Lightning Network and other layer-2 solutions are attempting to address Bitcoin’s transaction speed limitations, but their widespread adoption remains a significant hurdle.
  • Environmental concerns: The energy consumption of Bitcoin mining is a persistent criticism and a potential regulatory target. We’ll likely see continued innovation in mining techniques and potentially even a shift towards more sustainable energy sources.
  • Regulation: Global regulatory frameworks are still evolving, and inconsistent or overly restrictive policies could impact Bitcoin’s price and adoption.

The future of Bitcoin depends on several factors:

  • Successful implementation of Layer-2 scaling solutions.
  • Development of more energy-efficient mining methods.
  • Favorable regulatory environments.
  • Continued technological advancements in the underlying blockchain technology.

Ultimately, Bitcoin’s future isn’t binary. It may not dominate the entire crypto landscape, but its role as a store of value and a pioneering technology seems likely to persist. The key is to carefully evaluate the risks and opportunities presented by this evolving asset class.

How much energy does bitcoin use compared to banking?

Bitcoin’s energy consumption is a frequently debated topic. While the network’s annual energy use is estimated at 167.14 terawatt-hours (TWh), a figure often cited as incredibly high, it’s crucial to put this into perspective. Worldwide banking’s energy consumption is estimated at 258.85 TWh annually. This means Bitcoin currently uses approximately 35.4% less energy than the global banking system.

Important Caveats: These figures are estimates, and methodologies vary. The banking sector’s energy consumption is notoriously difficult to accurately quantify, encompassing everything from ATM networks to data centers to physical branches. Furthermore, Bitcoin’s energy usage is heavily reliant on the price of Bitcoin and the hash rate (computing power dedicated to securing the network). A higher Bitcoin price incentivizes more mining, increasing energy consumption, while a lower price has the opposite effect.

The Source of Bitcoin’s Energy Use: The vast majority of Bitcoin’s energy consumption stems from Bitcoin mining. Miners use powerful computers to solve complex mathematical problems, securing the network and validating transactions. The energy intensity of this process is a subject of ongoing research and development, with initiatives exploring more energy-efficient mining hardware and renewable energy sources.

Beyond the Numbers: While the raw energy consumption numbers are important, a complete comparison requires considering other factors. The banking sector’s environmental impact extends beyond energy use to include paper consumption, transportation emissions, and the environmental consequences of building and maintaining physical infrastructure. A truly comprehensive environmental assessment must factor in these additional aspects for both Bitcoin and traditional banking.

The Future: The Bitcoin network’s energy consumption is not static. Technological advancements, such as improved mining hardware and the increasing adoption of renewable energy sources by miners, could significantly reduce its environmental footprint in the future. Further research and transparency regarding both Bitcoin and traditional banking energy usage are essential for informed discussions.

What is the best crypto for the environment?

Choosing a “green” cryptocurrency is important if you’re concerned about the environmental impact of crypto mining. Many cryptocurrencies rely on energy-intensive “proof-of-work” systems like Bitcoin and Ethereum.

Chia is a different kind of cryptocurrency. It uses a system called “proof of space and time,” which requires significantly less energy than proof-of-work. Instead of powerful computers competing to solve complex math problems (which consumes massive amounts of electricity), Chia utilizes hard drive space. This means less energy consumption and a smaller carbon footprint.

XCH is Chia’s cryptocurrency. While it’s not entirely without environmental impact (manufacturing hard drives still has an impact), it’s considered a more eco-friendly alternative to Bitcoin and Ethereum. The lower energy consumption makes it a better choice for environmentally conscious investors.

Important note: The environmental impact of any cryptocurrency can be complex and depends on various factors, including the electricity sources used in mining and the overall efficiency of the network. Always do your own research before investing.

Is Ethereum still bad for the environment?

Ethereum used to be very energy-intensive because it used a system called “Proof of Work” (PoW) for verifying transactions. Think of it like a massive global computer race where miners competed to solve complex math problems to add new blocks of transactions to the blockchain. This consumed a lot of electricity.

The impact? A single Ethereum transaction, under the old PoW system, could use a substantial amount of energy – around 134 kilowatt-hours (kWh) on average. That’s roughly equivalent to the energy used to power an average US household for a day and a half. This high energy consumption translates to a significant carbon footprint; approximately 64 kilograms of carbon dioxide (CO2) were produced per transaction.

However, Ethereum recently transitioned to a new system called “Proof of Stake” (PoS). This is a much more energy-efficient method. Instead of miners competing to solve problems, validators are chosen randomly to verify transactions, requiring significantly less computational power.

  • Proof of Work (PoW): High energy consumption, large carbon footprint. Think of it like a global lottery that uses enormous amounts of electricity.
  • Proof of Stake (PoS): Much lower energy consumption, significantly reduced carbon footprint. Think of it like a more efficient system where randomly chosen validators check transactions rather than everyone racing.

The result? The shift to PoS drastically decreased Ethereum’s environmental impact. The energy consumption per transaction is now far lower. While the exact figure varies depending on network congestion and other factors, it’s a substantial improvement compared to the PoW era.

Important Note: Even though Ethereum’s energy consumption has decreased dramatically, it’s still important to consider the overall environmental impact of cryptocurrency. The energy used to power the entire network, even with PoS, isn’t negligible. Research and development into even more sustainable consensus mechanisms are ongoing.

Why did China recently ban bitcoin mining?

China’s 2025 bitcoin mining ban wasn’t solely about financial crime, though that was a cited concern. The People’s Bank of China (PBOC) highlighted crypto’s use in illicit activities and its inherent speculative nature as destabilizing forces within the country’s financial ecosystem. This is a valid point; the volatility of cryptocurrencies poses systemic risks, particularly when integrated into a tightly controlled financial system like China’s.

However, a deeper analysis reveals a more complex picture. The ban served multiple strategic objectives. Capital flight was a significant driver. Bitcoin, being decentralized and beyond the PBOC’s direct control, offered a convenient escape route for capital leaving China. This circumvented existing capital controls, undermining the government’s monetary policy and potentially impacting the Renminbi’s stability.

Consider these additional factors:

  • Energy Consumption: Bitcoin mining is energy-intensive. China’s commitment to carbon neutrality and its drive towards renewable energy meant the massive energy consumption of bitcoin mining conflicted with national priorities. The ban aligned with broader environmental goals.
  • Technological Supremacy: China’s ambition to dominate the global technological landscape is well-documented. While initially welcoming blockchain technology, the decentralized nature of cryptocurrencies ultimately clashed with the government’s desire to maintain control over its technological infrastructure. Focusing on developing its own, centrally-controlled digital currency (CBDC) became a more strategic priority.
  • Maintaining Control: Ultimately, the ban is about control. Cryptocurrencies represent a challenge to the PBOC’s authority and the centralized nature of China’s financial system. The ban reinforces the government’s overarching objective to maintain tight control over its financial flows and technological landscape.

Therefore, while the PBOC’s stated reasons regarding financial crime and speculative risks are partially true, the ban was a multifaceted strategic move addressing capital flight, energy consumption, technological control, and ultimately, the preservation of the state’s authority over its financial system.

What percentage of renewable energy is used in Bitcoin?

Bitcoin mining, the process of adding new transactions to the blockchain, requires a lot of energy. A significant portion of this energy comes from renewable sources, but the percentage fluctuates.

Initially, renewable energy sources powered a substantial 41.6% of Bitcoin mining. However, a major shift in mining locations in 2025 caused this percentage to drop to 25.1%.

In 2025, estimates vary. The Cambridge Centre for Alternative Finance (CCAF) suggests that 37.6% of Bitcoin mining energy came from renewable sources, including nuclear power. If you exclude nuclear power, the figure drops to 26.3%. This difference highlights the debate around including nuclear energy in renewable energy calculations.

The exact percentage is difficult to pin down precisely because of the decentralized and opaque nature of Bitcoin mining. Data collection relies on estimates and self-reporting from mining operations, which can be incomplete or inaccurate.

The environmental impact of Bitcoin mining is a major concern. The fluctuating percentage of renewable energy used is a key factor in this debate. Efforts to increase the use of renewable energy in Bitcoin mining are ongoing, but face challenges related to cost, infrastructure, and geographical limitations.

How much does it cost to mine 1 Bitcoin?

The cost to mine one Bitcoin is highly variable, depending heavily on your electricity price. Think of it like this: your electricity bill is your biggest expense. A low electricity rate is crucial for profitability.

Example Costs:

  • $11,000: This is what it might cost you at a relatively high electricity rate of $0.10 per kWh.
  • $5,170: This is a more reasonable cost, achievable with a lower electricity rate of $0.047 per kWh. This highlights the importance of location and access to cheap energy.

Factors Affecting Mining Costs Beyond Electricity:

  • Mining Hardware: The upfront cost of ASIC miners (Application-Specific Integrated Circuits) can range from hundreds to thousands of dollars, impacting profitability.
  • Mining Difficulty: Bitcoin’s mining difficulty adjusts constantly, making it harder (and more expensive) to mine over time. This means your profitability can change daily.
  • Bitcoin’s Price: If the Bitcoin price drops significantly, your mining operation might become unprofitable, even with low electricity costs. The price is the ultimate determinant of your success.
  • Maintenance and Cooling: ASIC miners generate significant heat, requiring cooling systems and potentially impacting overall energy consumption.
  • Pool Fees: Most miners join mining pools to increase their chances of finding a block. Pools charge fees, usually a percentage of your mined Bitcoin.

Bottom Line: Mining Bitcoin in 2024 is a complex calculation requiring careful consideration of electricity prices, hardware costs, Bitcoin’s price, and ongoing operational expenses. It’s not a guaranteed path to riches; thorough research and realistic expectations are absolutely necessary.

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