QeRL: NVFP4-Quantized Reinforcement Learning — Redefining Efficiency in AI Training and Inference

QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

QeRL: NVFP4-Quantized Reinforcement Learning — Redefining Efficiency in AI Training and Inference

Introduction and Motivation

Reinforcement Learning (RL) plays a critical role in enabling fine-tuned behavior for large language models (LLMs) and other generative agents, by allowing a model to learn from trial-and-error feedback (rewards). In the domain of LLMs, RL (especially Reinforcement Learning from Human Feedback, RLHF) is essential to shape alignment, preferences, and reasoning capabilities beyond mere supervised fine-tuning.

However, RL for large models is extremely resource intensive. The so-called rollout phase — where the model interacts (e.g. by generating responses and sampling trajectories) to compute rewards — often becomes a bottleneck in both memory consumption and throughput. Running RL on large models (e.g. tens of billions of parameters) typically demands clusters of high-memory GPUs and long training durations.

To reduce the resource burden, researchers have turned to quantization — representing model weights (and sometimes activations) in lower bit-widths (e.g. 8-bit, 4-bit) — as a way to save memory and accelerate computation. But naive quantization may degrade model accuracy or stability, especially in RL, where small perturbations can cascade through trajectories and degrade performance.

QeRL (Quantization-enhanced Reinforcement Learning) is a recent framework (arXiv preprint: “QeRL: Beyond Efficiency — Quantization-enhanced Reinforcement Learning for LLMs”) that proposes a principled way to combine NVFP4 quantization with LoRA adaptation and an adaptive quantization noise (AQN) mechanism to accelerate RL training while maintaining or even boosting performance. arXiv+2Hugging Face+2

One striking claim of QeRL is that it enables RL training of a 32B-parameter LLM on a single H100 (80 GB) GPU, something previously considered infeasible. Moreover, it reports speedups (especially in the rollout phase) of >1.5× relative to 16-bit LoRA, while matching or exceeding performance of full-parameter fine-tuning on benchmarks like GSM8K and MATH. arXiv+2MarkTechPost+2

This article explains the technical underpinnings of QeRL, why it works, when and how to use it, and what open questions remain.


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Background: Quantization, NVFP4, and LoRA

Before delving into QeRL itself, we need to understand the key building blocks: quantization (specifically NVFP4), and low-rank adaptation (LoRA).

Quantization in Neural Networks

Quantization is the process of mapping high-precision values (typically 32-bit floating point, “FP32”) into lower-precision representations (e.g. FP16, INT8, FP8, FP4). The primary motivations are:

  • Memory footprint reduction — fewer bits per parameter or activation.

  • Compute and throughput acceleration — lower-precision arithmetic can often be executed faster on specialized hardware.

  • Bandwidth and cache advantages — smaller representation means less memory traffic, better cache utilization.

However, quantization introduces quantization error — the difference between the original continuous value and its quantized version. The challenge is to control and mitigate that error so that downstream tasks (inference or training) retain acceptable performance.

Quantization schemes differ in how they group parameters (per-tensor, per-channel, block-wise), how scales are computed, whether activations are also quantized, and whether quantization is static (post-training) or dynamic / quantization-aware training (QAT).

In recent years, attention has turned to 4-bit quantization (FP4 or INT4) as a way to push memory savings further, while preserving accuracy with clever scaling schemes and error compensations.


NVFP4: NVIDIA’s FP4 Format

NVFP4 is a specialized 4-bit floating-point format designed by NVIDIA (for its Blackwell / Hopper / future architectures) that enables efficient and accurate low-precision inference and training. Hugging Face+5NVIDIA Developer+5NVIDIA Docs+5

Key characteristics of NVFP4:

  • Block-wise quantization with block size 16: weights (or activations) are grouped into blocks of 16 FP32 values along a row or vector, which share a common scaling factor. arXiv+3NVIDIA Docs+3NVIDIA Developer+3

  • Two-level scaling scheme: Each block of 16 values has one FP8 scaling factor (E4M3) plus a second-level FP32 tensor-wise scale. Thus, effectively, each quantized value uses ~4.5 bits (4 bits for the mantissa/exponent plus overhead). Hugging Face+5NVIDIA Developer+5NVIDIA Docs+5

  • Good accuracy retention: NVFP4 reportedly reduces model memory footprint ~3.5× relative to FP16 (and ~1.8× relative to FP8) while maintaining acceptable accuracy for many AI workloads. MarkTechPost+4NVIDIA Developer+4arXiv+4

  • Hardware support & efficient kernels: To benefit in practice, software and hardware support (e.g. specialized kernels in TensorRT, Marlin-based kernels) is needed. thesalt.substack.com+3arXiv+3GitHub+3


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

From the NVIDIA cuDNN documentation, the Block Scaling operation for NVFP4 works as follows: for each block of 16 FP32 values, compute a scaling factor (scale) via quantize_round_up(amax(vals) / vmax_otype), then quantize each value as round_to_even(vals / scale). NVIDIA Docs Also, the CUDA/TensorRT quantization infrastructure supports casting to FP4 with this block-wise approach. arXiv+3NVIDIA Docs+3NVIDIA Docs+3

Because NVFP4 groups 16 values per scale, it is more fine-grained (and thus less coarse) than earlier FP4 schemes that used block size 32 (e.g. MXFP4) — giving better error control. hanlab.mit.edu+3arXiv+3NVIDIA Developer+3

Other quantized training works (such as FP4 All the Way) also corroborate that NVFP4 works well: in that work, the authors show that NVFP4 yields optimal results for training of LLMs in predominantly FP4 precision, especially when blocks of size 16 are used and stochastic rounding is applied. arXiv

Thus, NVFP4 offers a promising substrate for quantized deep learning, provided the rest of the system (e.g. kernels, error compensation) is well designed.


LoRA: Low-Rank Adaptation

LoRA (Low-Rank Adaptation) is a popular parameter-efficient fine-tuning method for large pretrained models. Instead of fine-tuning all model parameters, LoRA injects low-rank updates into selected weight matrices (e.g. linear layers). Concretely, a weight matrix WW is adapted as

W←W+ΔW=W+ABW \leftarrow W + \Delta W = W + A B

where A∈Rd×r,B∈Rr×kA \in \mathbb{R}^{d \times r}, B \in \mathbb{R}^{r \times k} with rank r≪min⁡(d,k)r \ll \min(d,k). During training, only the low-rank parameters A,BA, B are updated (or stored in higher precision), while the base weights WW remain frozen. This reduces both memory and compute overheads of fine-tuning.

In the context of quantization, LoRA works well because one can quantize the base weights while keeping the LoRA parameters in higher (e.g. FP16) precision. This helps to retain expressivity and flexibility in adaptation. Many prior works combine 4-bit quantization + LoRA fine-tuning (e.g. QLoRA).

QeRL leverages this synergy: the base LLM weights are quantized to NVFP4, while LoRA updates are retained in higher precision to maintain adaptability during RL training.


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

The QeRL Framework

Now we turn to the heart of the matter: QeRL. The authors present a framework that integrates three main components:

  1. NVFP4 quantization of base model weights — to dramatically reduce memory footprint and accelerate inference/rollout.

  2. LoRA updates — to preserve the ability to adapt model weights during RL training without needing full precision over all parameters.

  3. Adaptive Quantization Noise (AQN) — an explicit mechanism to schedule quantization noise (perturbations) during training so as to enhance exploration.

Below is a detailed breakdown of how these parts interplay.


Overview and Goals

The design goals of QeRL are:

  • Efficiency: Reduce memory and accelerate the rollout phase, which is the bottleneck in RL.

  • Scalability: Enable RL training of very large models (e.g. 32B) on a single GPU.

  • Performance retention: Preserve or improve final task performance (e.g. in reasoning/math benchmarks).

  • Exploration bonus: Leverage quantization noise to implicitly boost policy entropy.

The key insight is that quantization noise (inherent from representing weights in low precision) can sometimes act as a regularizer or exploration aid in RL, by perturbing the policy and potentially helping escape local optima. QeRL formalizes this idea through Adaptive Quantization Noise so that the injected noise can be controlled, decayed, or modulated over the training process.


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

Workflow: Rollout, Update, Quantization

In a high-level RL loop (for LLMs), one typically alternates between:

  • Rollout (sampling trajectories): generating outputs from the current policy, collecting rewards, etc.

  • Update / optimization: using collected trajectories to update model weights (e.g. via PPO, policy gradients, etc.)

QeRL focuses on accelerating the rollout portion by quantizing the model weights, because rollout is often the throughput bottleneck (i.e. many forward passes). The update phase may involve higher-precision operations (e.g. gradient computation, backpropagation) and LoRA updates.

Concretely, QeRL keeps:

  • The base weights of the LLM quantized to NVFP4 (frozen or semi-frozen).

  • The LoRA parameters remain in higher precision (e.g. FP16 or FP32) and are updated.

  • Optionally, a small fraction of layers or critical operations remain in higher precision to maintain stability.

During rollout, the quantized model supports fast inference and low memory usage. During update, dequantization or specialized kernels allow combining the quantized base weights with LoRA updates for backprop.


Adaptive Quantization Noise (AQN)

While quantization inherently introduces noise, QeRL treats it as a signal component for exploration rather than just an error to be minimized. To better control this effect, QeRL introduces Adaptive Quantization Noise (AQN):

  • AQN modifies the quantization noise per channel (i.e. per hidden dimension) by scaling it via a schedule.

  • The schedule can reduce noise over time (annealing), or adaptively adjust noise magnitude as training progresses.

  • This mechanism helps the policy maintain higher entropy early on (encouraging exploration), and gradually reduce perturbation as learning stabilizes.

The authors argue that this controlled noise injection improves trajectory diversity, prevents premature convergence, and helps discover better strategies.

Quantitatively, the paper reports that quantization noise increases policy entropy, which aligns with the idea that noise perturbs action logits, thereby smoothing the policy distribution. thesalt.substack.com+3arXiv+3Hugging Face+3 Through the AQN mechanism, QeRL can dynamically calibrate that perturbation rather than letting quantization remain static.


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

Implementation and Practical Details

Here are several important practical details and design choices that matter for making QeRL work in real-world settings:

  • Weight-only quantization: QeRL focuses on quantizing only the LLM weights, not necessarily activations or gradients. This limits the complexity of backpropagation through quantization. arXiv+2Hugging Face+2

  • Block size and scale: NVFP4 inherently uses block size = 16 and the two-scale scheme. QeRL leverages this block-wise quantization for the base weights. MarkTechPost+3NVIDIA Docs+3GitHub+3

  • Kernel support: Efficient kernels (e.g. Marlin-based) to support NVFP4 + LoRA summation and inference are essential. The authors rely on hardware and software support. NVIDIA Developer+3arXiv+3MarkTechPost+3

  • Hybrid precision layers: Some critical layers (e.g. final layers, layernorms) may remain in higher precision to maintain numerical stability.

  • Gradient flow through quantization: During the update phase, gradients must propagate through quantization and dequantization. The authors may employ straight-through estimators (STE) or other approximations to enable gradient flow. (The paper details these techniques.) arXiv

  • Noise scheduling: The AQN schedule can be linear, exponential, or even adaptive based on training dynamics (e.g. reward variance).

  • Compatibility with RL algorithms: QeRL is agnostic to the choice of RL algorithm (e.g. PPO, DAPO, GRPO) as long as the policy model (LLM) can be quantized + updated via LoRA.


Performance and Results

The QeRL paper presents several strong experimental results:

  • In rollout, QeRL achieves >1.5× speedup compared to 16-bit LoRA, and ~1.8× overall speedup versus QLoRA. alphaXiv+3arXiv+3MarkTechPost+3

  • On math reasoning benchmarks: with a 7B model, QeRL matches full-parameter fine-tuning on GSM8K (90.8%) and MATH500 (77.4%). arXiv+2Hugging Face+2

  • It is, to the authors’ knowledge, the first RL training of a 32B policy on a single H100 80 GB GPU, which previously would have required multi-GPU clusters. arXiv+2MarkTechPost+2

  • In experiments, QeRL not only preserves model performance but sometimes accelerates reward growth (i.e. higher performance earlier), likely due to beneficial exploration induced by quantization noise. arXiv+2MarkTechPost+2

  • Comparisons against 16-bit LoRA and QLoRA show that QeRL often outperforms or ties with them, especially for larger models and harder tasks. MarkTechPost+2arXiv+2

  • Supplementary evaluations explore the effect of AQN schedules, hybrid-precision design, and noise ablation, showing that adaptive noise yields noticeable gains over static quantization.

These results suggest that QeRL is not only a practical method for scaling RL on LLMs, but can also lead to improved exploration and convergence in some settings.


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

Why Does QeRL Work?

It is natural to ask: why is quantization, typically a lossy approximation, helpful (or at least not harmful) in RL? The success of QeRL hinges on several interacting factors. Below are some intuitive and theoretical reasons.

Quantization Noise as Implicit Exploration

In RL, exploration — trying out stochastic or perturbed actions — is critical to avoid suboptimal convergence. Many RL algorithms explicitly add noise to policy logits, sample exploration actions, or regularize policy entropy.

Quantization inherently injects noise: each parameter or weight is slightly perturbed from its original value. This noise propagates through trajectories and subtly perturbs action distributions. In effect, quantization noise acts as a random perturbation to the policy, which can increase policy entropy and promote exploration.

QeRL explicitly leans into this phenomenon: rather than treating quantization noise purely as error to minimize, the authors harness it as a positive signal. The AQN mechanism gives fine control over the magnitude and schedule of this noise, so that it aids rather than hinders learning.

Empirically, QeRL reports that quantization does increase policy entropy, and the AQN scaling helps tune that effect beneficially. thesalt.substack.com+3arXiv+3MarkTechPost+3


Efficiency Gains in Rollout

By quantizing weights to NVFP4, memory footprint is reduced and inference speed can be increased using efficient low-precision kernels. Since rollout is often the dominant cost (many forward passes, sampling, scoring), accelerating it yields major benefits.

Moreover, reduced memory means larger batches or more parallelism may fit, improving throughput. These gains free up memory that might be used for longer context, caching, or larger models.


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

LoRA Maintains Adaptivity

While base weights are quantized (and often frozen), updating via LoRA allows the model to adapt its behavior. This separation — quantized base + trainable low-rank updates — strikes a balance: heavy compression plus flexibility in adaptation.

Because LoRA updates are relatively small, leaving them in higher precision (e.g. FP16) helps retain expressive capacity without incurring much memory or computational overhead.


Hybrid Precision and Stability

QeRL often uses a hybrid precision strategy: critical layers (e.g. normalization, final layers) are left at higher precision to ensure numerical stability. Quantization is applied where it introduces minimal instability. This hybrid approach ensures that quantization-induced noise does not destabilize gradients, activations, or training dynamics.

Furthermore, gradient flow through quantization is likely managed via straight-through estimators (or similar approximations), which are common in quantization-aware learning. These techniques help gradients bypass the quantization step, enabling stable updates to LoRA parameters.


Noise Scheduling and Annealing

The AQN mechanism gives QeRL control over noise magnitude. Early in training, more noise encourages exploration; later, reducing noise helps convergence. This annealing parallels techniques such as exploration decay in RL, or regularization schedules in training.

Thus, QeRL doesn’t treat quantization as static, but as a dynamic instrument to shape exploration over time.


Limitations, Caveats, and Challenges

While QeRL is promising, it is not a panacea. Here are some caveats, limitations, and open challenges to be aware of.


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Hardware / Software Support Dependency

The benefits of NVFP4 quantization hinge on having hardware that supports efficient FP4 operations (e.g. Blackwell, Hopper) and software (e.g. TensorRT, Marlin kernels) that implement the quantized kernels and dequantization strategies. Without such support, quantization may not yield real speedups or may degrade performance severely.

Also, compatibility with gradient backpropagation through quantized weights depends on careful design of quantization and dequantization operators and their derivatives.


Applicability Only to Inference / Rollout Paths

QeRL primarily focuses on quantizing the inference or rollout portion, not necessarily activations, gradients, or full quantized training. This limits some of its compression potential. In highly memory-constrained systems, full quantized training (activations/gradients quantized) may still be needed; QeRL does not fully address that.


Sensitivity and Stability Risks

Injecting noise via quantization has risks: if the noise is too large, the policy may diverge or become unstable. Improper scheduling or hybrid precision mistakes may lead to gradient explosion or collapse. The quantization error may accumulate or interact poorly with long trajectory sequences.

Moreover, policy gradients or value estimation may be sensitive to small perturbations; quantization noise could degrade advantage estimates or reward signals.


Task and Domain Limitations

The experiments in the QeRL paper focus largely on math reasoning tasks and benchmarks (e.g. GSM8K, MATH). It remains to be extensively validated across other domains — e.g. general instruction following, code synthesis, safety-sensitive RL, tool use, multi-modal RL, etc. Some domains may be more sensitive to small perturbations.

Also, for extremely long horizon RL tasks (e.g. multi-turn dialogues, planning), the accumulation of quantization-induced drift may degrade performance.


Hyperparameter Tuning Overhead

AQN scheduling, hybrid precision choices, block-size splitting, LoRA rank, noise annealing rates — all of these introduce additional hyperparameters. Careful tuning is required to strike the balance between exploration vs. stability.


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

Theoretical Understanding and Guarantees

While empirically quantization noise can aid exploration, formal guarantees are lacking. It is not entirely understood under what conditions quantization helps vs. hurts exploration or convergence, or how to optimally schedule noise. More theoretical work is needed.


Scaling to Even Larger Models / Multi-GPU RL

Although QeRL demonstrates 32B model RL on a single GPU, scaling to even larger models (100B+) or distributed RL settings may pose additional challenges, such as synchronization of quantization state, communication overhead, and consistency across partitions.


Broader Context: Related Work and History

Putting QeRL in context, several prior lines of research are relevant:

  • Quantized RL (e.g. ActorQ / QuaRL): Earlier works (e.g. QuaRL: Quantization for Fast and Environmentally Sustainable RL) applied quantization (e.g. 8-bit) to the actor in actor-critic RL to speed up training and reduce carbon emissions, while preserving convergence. arXiv QeRL can be seen as a modern extension into quantized RL for LLMs.

  • Quantized fine-tuning / quantized LLMs: Many works address low-precision fine-tuning of language models (e.g. QLoRA, 4-bit quantization, NF4, bitsandbytes). QeRL builds upon these ideas but extends them to the RL training regime.

  • Fully quantized training (FP4 All the Way): The FP4 All the Way paper shows that training LLMs fully in FP4 precision (weights, activations, gradients) is possible under certain schemes (block sizes, rounding, etc.). That work also pinpoints NVFP4 as a favorable format. arXiv QeRL is more conservative (only weight quantization + LoRA) but works in RL.

  • Quantization-aware training / mixed precision training: Classical quantization-aware training or mixed precision training techniques (e.g. FP16, bfloat16) remain complementary. QeRL sits at the junction of quantization, RL, and adaptation methods.

Thus, QeRL can be viewed as an evolution of quantization in the RL-for-LLMs domain, bringing together modern low-bit formats, adaptation (LoRA), and exploration-aware noise control.


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

Engineering and Adoption Considerations

For practitioners interested in implementing or adopting QeRL, the following points matter:

  1. Hardware and infrastructure
    Ensure access to hardware (GPUs) that support NVFP4 (or equivalent efficient FP4 operations) and software stacks (e.g. TensorRT-LLM, Marlin kernels) compatible with mixed-precision quantization.

  2. Software support and quantization libraries
    Use or extend frameworks that provide quantization utilities (block scaling, quantize/dequantize, gradient propagation) and integrate them with RL pipelines.

  3. Model architecture and LoRA design
    Choose which parts of the LLM to quantize, which to leave in higher precision, and which layers to adapt via LoRA (and at what rank).

  4. AQN scheduling and hyperparameter tuning
    Design noise schedules (initial magnitude, decay curve, adaptation rules) and carefully tune them for stability and exploration tradeoffs.

  5. Monitoring and diagnostics
    Monitor policy entropy, reward progression, divergence metrics, and stability across trajectories to detect negative effects of quantization noise.

  6. Fallback strategies
    Be ready to back off to higher precision or disable AQN in parts if training becomes unstable. Hybrid precision layers may be necessary.

  7. Benchmarking and evaluation
    On your target tasks (beyond math), benchmark performance relative to baseline (e.g. 16-bit LoRA, full precision RL) to validate that quantization gains transfer.

  8. Scale-out and distributed RL
    Design mechanisms for consistency in quantized state across multiple GPUs or parameter servers if scaling beyond single GPU RL.

With careful engineering and tuning, QeRL offers a path toward making RL training of large LLMs more accessible — lowering memory barriers and accelerating throughput.


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

Potential Extensions and Future Directions

QeRL, though promising, opens up many avenues for further research and improvement:

  • Quantizing activations and gradients
    Extending quantization beyond weights into activations and gradients could further reduce memory and compute costs (i.e. fully quantized RL). But doing so stably is challenging.

  • Alternate noise injection strategies
    Beyond AQN, one might explore learned noise schedules, Bayesian adaptive noise, or noise correlated with uncertainty estimates.

  • Task-general validation
    Expanding experiments to more diverse RL tasks: dialog, planning, tool use, multi-modal agents, robotics, etc., to validate generality.

  • Theoretical analysis
    Providing stronger theoretical understanding of when quantization-induced noise aids exploration vs. when it degrades learning; connecting to bandit/exploration theory.

  • Adaptive block sizes or mixed-bit quantization
    Instead of fixed block size = 16, one might explore dynamic block sizes, or mixed-bit precision (some blocks 3-bit, others 4- or 8-bit) depending on magnitude or sensitivity.

  • Integration with other efficiency methods
    Combining quantization with pruning, sparsity, knowledge distillation, efficient architectures or compression to push efficiency further.

  • Distributed RL with quantized synchronization
    In large-scale RL settings, designing communication protocols that preserve quantization consistency and minimize overhead will be important.

  • Better quantized kernels and libraries
    Continued development of optimized FP4/FP8 kernels, support in frameworks (PyTorch, JAX, TensorFlow), and new hardware to boost quantization performance.

  • Plug-and-play noise modules
    Offering generic AQN-style modules that can be plugged into existing RL pipelines for quantization-based exploration.

  • Adversarial robustness / safety
    Explore how quantization noise affects robustness, safety constraints, or adversarial stability in RL agents — in particular, whether noise might inadvertently lead to unsafe actions or drift.

In sum, QeRL is a significant step, but its full potential will emerge through further research, broader adoption, and integration with other efficiency techniques.


QeRL, NVFP4, Reinforcement Learning, Quantized AI, NVIDIA,

Summary and Final Thoughts

QeRL (Quantization-enhanced Reinforcement Learning) is an innovative framework that brings together the power of NVFP4 4-bit quantization, LoRA adaptation, and adaptive noise injection (AQN) to accelerate RL training of large language models while preserving — or even improving — performance.

By quantizing base weights to NVFP4, QeRL reduces memory footprint and accelerates rollout, which is often the dominant cost in RL. LoRA ensures that adaptability is preserved via low-rank updates, and the clever AQN mechanism treats quantization noise as a controllable exploration boost.

In large-scale experiments, QeRL demonstrates impressive speedups (especially in rollout), and even enables RL training of a 32B model on a single H100 GPU — a milestone. It also matches or beats performance on math reasoning benchmarks compared to baseline methods.

However, QeRL’s success depends on hardware/software support for FP4, careful noise scheduling and stability control, and applicability to a broader suite of tasks. There remain open challenges in fully quantized RL, theoretical guarantees, and generalization beyond specific benchmarks.

Nonetheless, QeRL marks a compelling direction: instead of fighting quantization noise, we can harness it, turning approximation artifacts into instruments of exploration and efficiency. For the future of RL in large models, quantization-aware methods like QeRL may become foundational.

If you like, I can also generate code snippets, pseudo-implementations, or comparative benchmarks for QeRL. Would you like me to do that?


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