Mistral Large 2 Explained: Capabilities, Use Cases, and Technology Behind It

Posts

Mistral Large 2 represents a major advancement in open-source language models. Designed with 123 billion parameters, it uses a modern decoder-only Transformer architecture that is well-suited for various natural language processing tasks. The model can be run efficiently on a single node and provides a long context window of 128,000 tokens. This Wallows it to understand and maintain coherence across extensive documents or prolonged conversations, making it ideal for complex tasks such as comprehensive analyses, long-form content creation, or multi-turn interactions.

Parameter Size and Context Window

At 123 billion parameters, Mistral Large 2 falls within the range of high-capacity models. While it’s smaller than the largest closed-source systems, it’s still substantial enough to power advanced tasks. The large parameter count enables it to store and recall nuanced patterns from its extensive training data—even though it remains smaller than highly proprietary systems like GPT-4o, it achieves competitive performance, especially in efficiency.

The model’s 128k token context window is another standout feature. By comparison, many models on the market typically support up to 32k or 64k tokens. Having this extended context allows Mistral Large 2 to handle long documents, maintain memory of prior dialogue exchanges, and analyze extensive sequences without output degradation. Use cases like codebase exploration, legal document review, or long academic discussions become much more feasible with this capability.

Wide Multilingual and Programming Language Support

Another key strength of this model is its broad language and coding support. Mistral Large 2 can understand and generate content in multiple natural languages, including but not limited to English, Chinese, Japanese, Korean, Russian, Spanish, and Italian. This multilingual competence makes it useful for translation, localization, and cross-lingual customer support workflows.

On the programming side, it excels in about eighty languages, such as Python, Java, C, C++, JavaScript, and others. Whether generating code from descriptions, completing snippets, or assisting with debugging and code review, it satisfies developers’ needs across multiple languages and frameworks. Its strong cross-language coding ability positions it as a practical alternative to larger, closed-source models.

Open-Source Availability and Licensing

Mistral Large 2 is released under the Mistral Research License for non-commercial and research use. This provides transparency to developers and researchers who wish to inspect model weights, fine-tune, or experiment with new methods. Organizations that want to use the model for product development or commercial applications can obtain access through a separate commercial license.

This open-source approach is important. It provides flexibility for academic teams, independent developers, and open research labs, while still allowing Mistral to structure commercial agreements that sustain model development. This middle path fosters innovation while ensuring the sustainability of the platform.

Efficient Single-Node Deployment

Another design goal of Mistral Large 2 is to maintain practicality in deployment environments. It was built to run efficiently on a single hardware node, making it easier and more cost-effective to run than larger models that require multi-machine architectures. This efficiency makes it suitable for businesses that want strong model performance without large infrastructure overhead.

Single-node inference capability lowers both cost and complexity. Organizations or research groups can run the entire model locally in a datacenter or on-premise environment, with reduced latency and improved data privacy. This removes the need for reliance on large cloud provider resources and supports applications in environments with strict regulations around data control and sovereignty.

Comparison to Open-Source Predecessors

While Mistral’s original large model garnered attention for its performance per parameter, the second generation delivers tangible gains. Enhancements include stronger reasoning, improved multilingual fluency, and better handling of mathematical tasks. Coding performance has also been refined, making it more accurate and capable across a broad range of programming languages. These improvements help bridge the gap between open models and those backed by closed-source ecosystems.

Together, these factors—model scale, advanced architecture, long-context capacity, multilingual versatility, programming proficiency, open licensing, and efficient deployment design—make Mistral Large 2 a compelling choice for a wide range of users. In coming sections, we’ll explore how Mistral Large 2 learns from data, avoids common pitfalls of generative models, and outperforms peers in benchmarks and real-world uses.

How Mistral Large 2 Works: Architecture, Training, and Safety

Understanding how Mistral Large 2 works begins with examining its architecture and training methodologies. These aspects contribute to its remarkable performance across various natural language processing and programming tasks. In this part, we explore the inner workings of the model, how it was trained, and the measures taken to ensure accuracy, stability, and safe use.

Transformer Architecture: Decoder-Only Design

Mistral Large 2 is based on a decoder-only Transformer architecture. This structure is the same type used by many state-of-the-art language models, as it provides a robust method for learning patterns in sequences and generating responses. The decoder-only model differs from encoder-decoder models by focusing purely on generating output from input sequences rather than transforming inputs into encoded representations.

The benefit of the decoder-only approach is that it simplifies the generation pipeline and is highly optimized for tasks that involve completion, generation, summarization, and dialogue. It uses layers of attention mechanisms, feed-forward neural networks, and normalization layers to refine predictions and context understanding at each step. This means that when a user inputs a sentence or prompt, the model evaluates every word it has already seen to predict the next most likely token.

Training at Scale

The training process for Mistral Large 2 involved feeding the model massive volumes of text and code from diverse sources. These included open datasets, multilingual corpora, domain-specific content, and extensive code repositories. Training a model of this size required powerful computing clusters and precise tuning of learning parameters to ensure convergence without overfitting.

The goal of this training process was to build a model that could generalize across different languages and tasks, not just memorize facts. This generalization ability comes from exposing the model to a broad spectrum of data—ranging from casual conversation to academic writing, from technical documentation to legal contracts.

As part of its design, the model was trained with specific attention to non-English languages and to programming languages often underrepresented in earlier systems. The effect of this is seen in its high multilingual fluency and ability to generate accurate code in over 80 programming languages.

Reducing Hallucinations

One of the persistent problems in language models is hallucination—when a model generates content that sounds plausible but is factually incorrect. Mistral AI made specific efforts to reduce this issue in the second version of their large model. They introduced more precise fine-tuning using curated datasets and created internal benchmarks to filter out misleading outputs.

Another strategy to reduce hallucination was training the model to recognize uncertainty. When the model encounters a prompt where it cannot confidently provide a factual answer, it is designed to say so or defer the answer. This improvement contributes to trustworthiness and makes Mistral Large 2 a better fit for professional and academic applications.

Alignment with Human Instructions

In addition to technical performance, instruction alignment is essential for usability. Mistral Large 2 was fine-tuned using supervised learning and reinforcement learning with human feedback. This approach helps the model understand and respond appropriately to user instructions, especially in complex or multi-part tasks.

By evaluating and ranking model responses based on human preferences, the training team created reward models to further guide learning. This refinement process improves the way Mistral Large 2 interprets intent, handles polite or formal dialogue, and avoids biased or harmful outputs. The result is a model that is both intelligent and socially aware.

Function Calling Capabilities

Function calling is another area where Mistral Large 2 stands out. This feature allows the model to interface with external tools or APIs. When provided with a function description or schema, the model can return well-structured JSON output with appropriate arguments. This is essential for building real-world AI applications where responses must trigger specific actions.

The model’s high function calling accuracy means it can be trusted in environments where automation is critical—such as customer support workflows, smart assistants, or even agent-based systems. Among major language models, Mistral Large 2 ranks among the top in its ability to parse complex prompts into structured commands.

Safety and Ethical Use

Mistral AI placed a strong emphasis on responsible use and safety. As part of the training and evaluation process, the team implemented content filtering, red-teaming exercises, and system-level safeguards. These checks are designed to prevent the model from producing harmful, biased, or dangerous content.

Safety is not only a matter of technical design but also of licensing. The Mistral Research License explicitly limits the use of the model to non-commercial research. For commercial users, the Mistral Commercial License is required, ensuring that implementations are traceable and compliant with responsible AI practices.

Mistral encourages users to avoid harmful applications and promotes educational, research, and socially beneficial use cases. These principles align with growing global concerns about AI transparency, safety, and fairness.

Summary of Core Capabilities

In summary, Mistral Large 2’s inner workings reflect a balance between power and precision. Its architectural design provides speed and depth in language understanding. The training pipeline supplies wide domain coverage, and its alignment process adds reliability and nuance. When these elements are combined with strong safety protocols and ethical licensing, Mistral Large 2 becomes a powerful and trustworthy platform for developing intelligent systems.

Benchmarks and Comparative Performance of Mistral Large 2

Mistral Large 2 is not just a larger model—it is one of the strongest open-access models ever evaluated across multiple performance benchmarks. To understand its effectiveness, it is necessary to examine how it competes against other state-of-the-art models like GPT-4o, Claude 3.5 Sonnet, and Llama 3.1 405B. The evaluations cover a broad range of areas including general knowledge, code generation, math, reasoning, multilingual tasks, function calling, and instruction alignment.

Performance in General Knowledge and Reasoning: MMLU

The MMLU (Massive Multitask Language Understanding) benchmark is a standard for assessing a model’s reasoning and general knowledge across numerous subjects. It covers more than 50 fields including history, biology, mathematics, law, and more.

On this benchmark, Mistral Large 2 achieved a score of 84.0%. This result places it at the top tier of models, demonstrating robust capability in answering domain-specific and cross-disciplinary questions. Mistral Large 2 performs significantly better than its predecessor and stands just behind GPT-4o, while maintaining a leaner architecture. Its success on MMLU reflects deep comprehension, pattern recognition, and contextual consistency across disciplines.

Code Generation Excellence

Mistral Large 2 shines in code-related tasks. It was evaluated using HumanEval and HumanEvalPlus, both widely used in assessing programming ability. These benchmarks test models by having them generate functional code for a set of prompts, covering real-world coding challenges.

On HumanEval and HumanEvalPlus, Mistral Large 2 ranks second behind GPT-4o. It outperforms Claude 3 Opus, Llama 3.1 70B, and other major open models. This is especially impressive because it achieves this with a smaller number of parameters than several competitors.

Its scores in MBPP Base and MBPP Plus benchmarks (which also test beginner-level programming tasks) show that while it ranks slightly lower than GPT-4o, it maintains high accuracy and continues to outperform many alternatives in the open-source domain. The strength of Mistral Large 2 in these coding benchmarks makes it well-suited for software development environments, coding assistance, automated code review, and educational tools.

Advanced Mathematical Reasoning

In mathematical tasks, Mistral Large 2 delivers exceptional results. The model performs well in GSM8K, which tests arithmetic problem-solving at the grade-school level. On this benchmark, Mistral Large 2 ranks just below Llama 3.1 70B and close to GPT-4o.

Where the model truly differentiates itself is in the Math Instruct benchmark, which measures the model’s ability to follow complex, multi-step mathematical instructions. Here, Mistral Large 2 comes in second, only behind GPT-4o. These results highlight its strong reasoning chain, structured output capabilities, and mathematical comprehension—skills essential for domains like engineering, finance, physics, and analytics.

Instruction Following and Human Alignment

Instruction tuning is critical for usability, especially in professional or enterprise environments. Mistral Large 2 has undergone rigorous training to improve its instruction-following abilities.

On WildBench, a benchmark that assesses performance on diverse and open-ended prompts, Mistral Large 2 ranks second, just behind GPT-4o. It also ranks third in Arena-Hard, which is designed to test how well a model handles subtle prompts, confusing instructions, or complex question styles.

The MT Bench, which uses GPT-4o as a judge to evaluate the quality of model responses, also gives Mistral Large 2 high marks. The model ranks third overall and second in generation length. These results confirm that the model is not only smart but also able to deliver nuanced, detailed responses that align well with human expectations.

Multilingual Benchmarks

Mistral Large 2 is also among the strongest multilingual open models. On the multilingual MMLU benchmark, which tests the same broad categories of knowledge in non-English languages, it performs exceptionally well across the board.

It ranks second behind Llama 3.1 405B, a much larger model, yet Mistral Large 2 is far more efficient in terms of parameter count and resource usage. The model’s multilingual strength reflects its diverse training dataset and well-balanced architecture, which supports use cases in translation, global customer service, international research, and more.

Languages tested in this benchmark include Russian, Korean, Chinese, Spanish, and others. In each case, Mistral Large 2 demonstrates both comprehension and articulation, making it suitable for global deployment.

Function Calling Superiority

Function calling is a crucial ability for real-world AI systems. It allows models to respond to structured prompts by generating executable commands. Mistral Large 2 excels in this area, surpassing even GPT-4o and Claude 3.5 Sonnet.

It ranks first in function calling evaluations, delivering highly structured and accurate function call formats. This ability enables the model to act as a bridge between natural language and machine operations, making it ideal for integration into software systems, virtual assistants, and automated workflows.

Such precision is especially valuable in situations where wrong responses may lead to downstream failures—such as API automation, data queries, or robotic process automation.

Cost-to-Performance Efficiency

When evaluating models, performance alone is not enough. Cost and efficiency also matter. Mistral Large 2 sets a new standard on the performance-to-cost Pareto frontier. This term describes how much performance you get for a given resource cost.

Despite having fewer parameters than other top performers, Mistral Large 2 competes head-to-head with them on virtually all metrics. Its optimized training and efficient inference design allow it to run faster, with fewer computational resources, while delivering nearly the same or better output quality.

This balance makes it an attractive choice for businesses and researchers who want advanced capabilities but must manage compute budgets. The model’s efficiency reduces cloud service bills, lowers latency, and improves accessibility for teams with limited infrastructure.

Benchmark Strengths

Mistral Large 2 has emerged as one of the most capable and well-rounded open-access language models currently available. With its advanced performance across key benchmarks, it reflects a carefully crafted balance of speed, efficiency, versatility, and intelligence. These benchmark strengths demonstrate the model’s real-world applicability and offer insights into its architectural excellence and training approach.

This analysis breaks down the model’s benchmark strengths across several core domains, including general knowledge, mathematics, code generation, instruction following, multilingual capabilities, and function calling. It also explores why Mistral Large 2 stands out and what its strengths mean for practical use across industries.

Excellence in General Knowledge

One of the foundational measures of any large language model is its ability to handle general knowledge tasks. These tasks span a broad spectrum, from history and science to reasoning and factual understanding.

Mistral Large 2 ranks among the top three models on benchmarks like the Massive Multitask Language Understanding benchmark. This evaluation includes multiple-choice questions covering topics such as law, medicine, engineering, and humanities.

High performance in this benchmark suggests that Mistral Large 2 has a strong understanding of both academic subjects and practical topics. This makes it a useful tool for educational platforms, content generation, research assistance, and intelligent tutoring systems.

Precision in Mathematical Reasoning

Mathematics is a particularly challenging area for language models. It requires exact calculations, multi-step reasoning, and a structured approach to logic. Mistral Large 2 performs impressively in this domain, coming close to the highest-performing models on benchmarks such as GSM8K and Math Instruct.

These benchmarks involve arithmetic, algebra, and complex problem-solving without the use of external tools. Mistral Large 2 stands out not just for correct answers but also for the clarity and structure in its explanations.

This capability is valuable in many fields, including financial analysis, scientific research, engineering, and education—anywhere that precision and analytical clarity are required.

Advanced Code Generation Capabilities

Code generation is one of the fastest-growing uses for large language models. From completing functions to writing scripts across programming languages, the ability to produce efficient and correct code is critical.

Mistral Large 2 achieves strong rankings in this domain. It performs second on benchmarks like HumanEval, which tests Python code generation, and also ranks highly in multi-language code generation tasks.

The model supports more than 80 programming languages, including Python, JavaScript, C++, Java, and SQL. This range makes it ideal for use in software development, testing, analytics, and automation.

Mistral Large 2’s strength in code generation can help development teams improve efficiency, reduce bugs, and build smart tools that assist in real-time problem solving.

Strong Instruction Following and Alignment

A key challenge for any language model is understanding and following instructions accurately. This is essential for practical applications like customer service, personal assistants, and workflow automation.

Mistral Large 2 performs strongly on instruction-following benchmarks such as MT Bench, WildBench, and Arena Hard. These benchmarks test whether a model can handle multi-turn conversations, maintain relevance, and respond with the correct tone and structure.

High scores in these tests show that Mistral Large 2 can maintain context, adapt to various communication styles, and follow detailed prompts accurately. This makes it a strong candidate for interactive systems, question-answering applications, and content creation tools.

Multilingual Understanding and Global Reach

Many language models perform well in English but fall short in other languages. Mistral Large 2 addresses this limitation by offering high-quality support for a broad set of global languages, including Chinese, Japanese, Russian, Spanish, Korean, and more.

On the multilingual MMLU benchmark, Mistral Large 2 ranks near the top in most languages tested. This demonstrates a deep fluency that is essential for cross-border communication, localization, global marketing, and language education.

Its multilingual strength makes it a useful tool for businesses and organizations operating in multiple regions, as well as for users working in diverse language environments.

Function Calling and Structured Output

Function calling allows a model to carry out commands or perform tasks based on structured input. This is especially useful for developers building AI tools that need to connect with external systems or respond with formatted data.

Mistral Large 2 leads in function calling performance, outpacing even the largest and most established models. It delivers precise outputs, handles structured inputs effectively, and performs complex operations through a predictable, testable framework.

This capability makes it ideal for automation tools, interactive APIs, data extraction systems, and smart virtual assistants that rely on accurate responses to specific instructions.

Efficient Design Without Performance Loss

Another strength of Mistral Large 2 is that it offers high performance without requiring large amounts of hardware or resources. With 123 billion parameters and a 128k token context window, it processes long documents and conversations efficiently.

Unlike other large models that need multi-node setups or significant GPU clusters, Mistral Large 2 supports single-node inference. This makes it more practical and cost-effective for many organizations and independent developers.

The model’s consistent performance across diverse benchmarks reflects the quality of its training and architecture. It is not optimized only for one task; instead, it shows balanced results across a wide range of use cases.

Practical Implications for Real-World Use

Mistral Large 2’s strengths make it well-suited for many applications. In a business setting, it can automate tasks, assist in software development, summarize documents, and generate customer-facing content. In education, it can act as a tutor, answer complex questions, and help students solve math or coding problems.

In research, it can help with literature review, code simulation, multilingual translation, and data analysis. Developers can use it as a foundation for building apps that require smart interaction or dynamic content generation.

Because of its balance of speed, cost-efficiency, and performance, Mistral Large 2 is appealing not just for experimentation, but for actual production use.

Mistral Large 2 demonstrates what a modern language model should offer: high performance across multiple domains, strong efficiency, multilingual capabilities, and responsible deployment. Its rankings in general knowledge, math, programming, and instruction-following tasks show that it can meet the demands of both casual users and advanced professionals.

Whether you’re building intelligent tools, analyzing global data, automating services, or simply exploring new AI-driven ideas, Mistral Large 2 offers a stable and high-performing foundation. Its benchmark strengths show not only what it can do today but also hint at its future potential in shaping the next generation of digital intelligence.

Use Cases and Responsible Deployment of Mistral Large 2

Having explored its architecture, capabilities, and benchmark performance, we now turn to how Mistral Large 2 can be applied in real-world scenarios, how it can be accessed, and the considerations involved in using it responsibly.

Software Development and Code Optimization

Mistral Large 2 excels in tasks developers need most:

  • Code generation and completion: Developers can describe a function in natural language, and Mistral Large 2 can produce accurate code in languages like Python or Java. This is valuable for rapid prototyping or scaffolding new functionality.
  • Debugging assistance: The model can analyze code snippets, identify bugs, and suggest fixes—saving developers time in diagnosing issues.
  • Code refactoring: It offers cleaner alternatives for legacy or complex code, improving readability and maintainability.
  • Automated documentation: Mistral Large 2 can generate function summaries, inline documentation, or README files based on code structure and comments.

Through integration with IDEs or CI pipelines, Mistral Large 2 provides intelligent suggestions that blend coding automation and developer insight.

Data Analysis, Math, and Knowledge Discovery

With its strong math and reasoning abilities, the model suits several analytical use cases:

  • Automated data interpretation: Users can upload a dataset and ask for descriptive summaries, statistical analysis, or visual guidance.
  • Complex problem-solving: From algebra to calculus, the model gives step-by-step reasoning and solutions—beneficial in tutoring, research planning, or scientific analysis.
  • Knowledge retrieval: Mistral Large 2 retrieves factual information across domains like history, science, law, and business, making it useful for drafting reports, creating reference material, or aiding study.

Multilingual Support and Translation

Given its strong cross-lingual understanding, the model supports:

  • High-quality translation across languages including Russian, Chinese, and Spanish.
  • Cross-cultural communication: Drafting emails, reports, or announcements in multiple languages.
  • Localization: Adapting product descriptions, messaging, and marketing assets to regional audiences.

Function Calling and Automation

The model’s proficiency in generating structured function calls opens up integration possibilities:

  • Virtual assistants and chatbots that trigger backend APIs or database actions based on user requests.
  • RPA (Robotic Process Automation) scenarios, where natural language prompts generate structured commands to automate workflows.
  • Smart form completion: Users input prompts, and the model populates forms or database entries autonomously.

These use cases enhance productivity by bridging natural conversation and machine execution.

Deployment and Access Options

Access to Mistral Large 2 is flexible:

  • Open-source Research License: Ideal for experimentation, academic projects, or internal tools not monetized.
  • Commercial License: Available to businesses that want to integrate the model into products or services intellectually.
  • Cloud Providers: Accessible via platforms like Vertex AI, Azure AI Studio, Amazon Bedrock, and IBM watsonx.ai—offering scalable deployment without managing inference infrastructure directly.
  • Self-hosting: La Plateforme and Hugging Face repositories support local deployment on single-node or private cloud environments.

This variety lets organizations choose options aligned with cost, control, and compliance needs.

Ethical Use and Safety Considerations

Responsible use of AI is critical. Mistral Large 2’s creators emphasize:

  • Content safety: Fine-tuning and red-teaming help prevent harmful, biased, or misleading outputs.
  • License restrictions: The Research License prohibits commercial use, ensuring accountability. Commercial deployments require explicit licensing.
  • Transparent use policies: Organizations must document how the model supports decisions, including its limitations and potential biases.
  • User accountability: Models should be deployed in supervised contexts with robust validation, review, and escalation mechanisms.

Enterprises can complement technical safeguards with internal policy—like logging outputs, human review of sensitive activities, and periodic performance audits.

Scaling and Monitoring in Production

When deployed into production, several best practices ensure reliability:

  • Monitoring usage metrics like latency, error rates, and throughput.
  • Performance dashboards to track model accuracy in key tasks and detect drift.
  • Fallback strategies where, on low-confidence responses, the system flags for human review.
  • Continual updates: Scheduled retraining or replacement of models with newer or more specialized variants.

These strategies maintain quality, compliance, and resilience as usage grows.

Future Opportunities and Extensions

Mistral Large 2’s capabilities pave the way for future enhancements:

  • Fine-tuning and domain-specific stacks: Adapt the model for legal, healthcare, or financial use.
  • Multimodal expansion: While text-only for now, future versions may support image or audio input/output.
  • End-user tools: Integrate Mistral Large 2 into no-code platforms enabling users to generate structured content, forms, or data pipelines intuitively.
  • Research and education: As the model is open-source, it serves as a learning tool for students and researchers studying NLP or LLM development.

Mistral Large 2 brings together performance, efficiency, and usability, making it a standout choice for a wide range of applications—from software development to multilingual communication and automation. Its open-access design invites hands-on customization for non-commercial scenarios, while commercial licensing enables trusted production deployment.

By deploying the model responsibly—with attention to ethics, licensing, and monitoring—organizations can tap into a powerful, flexible, and cost-effective AI platform that rivals top closed-source models. As LLMs continue evolving, Mistral Large 2 represents a strong option for those seeking a balance of open innovation and enterprise-grade capability.

Final Thoughts

Mistral Large 2 represents a significant leap forward in the landscape of large language models. Built with a focus on high performance, efficiency, multilingual capabilities, and ethical deployment, it offers a compelling alternative to proprietary systems while remaining open and accessible for non-commercial use. Its design balances power with control, making it well-suited for developers, researchers, and enterprises alike.

This model performs strongly in areas that matter most—code generation, mathematical reasoning, multilingual understanding, and instruction alignment. It not only competes with some of the most well-known models like GPT-4o and Claude 3.5, but in specific tasks such as function calling and cost efficiency, it even outperforms them. These benchmarks are not just numbers; they reflect real-world utility in software engineering, education, data science, and communication.

What makes Mistral Large 2 particularly valuable is its flexibility. Whether you’re building chatbots, automating code workflows, translating content, or analyzing data, this model adapts with ease. Developers can harness its precision, educators can use it to assist learners, and organizations can integrate it into applications without sacrificing safety or interpretability.

Equally important is the emphasis on responsible AI. With strict licensing protocols, safety testing, and a commitment to minimizing hallucinations, Mistral Large 2 sets an example for how advanced models can be both powerful and principled. Its availability through both open access and major cloud providers ensures it can reach a wide audience while maintaining transparency and oversight.

As large language models become increasingly central to digital tools and services, Mistral Large 2 stands out not just for what it can do, but for how it’s designed to operate in the world. It offers the rare combination of high capability, thoughtful design, and user trust.

In the future, we can expect Mistral to expand its reach, perhaps incorporating multimodal input, deeper domain-specific tuning, and even greater alignment with human values. But as it stands today, Mistral Large 2 is already a remarkable achievement and a strong foundation for the next generation of AI-powered solutions.