# LLaMA 2: How Three Borrowed Techniques Fit a 70B Model on Two GPUs

## The Memory Problem

Serving 10 concurrent users with a 70B-scale model at 4K context, using the vanilla transformer architecture from 2017, requires roughly 240GB of GPU memory: about 140GB for weights and about 100GB for the KV cache (the K and V tensors stored per token to avoid recomputing attention from scratch on each decode step). Two A100-80GBs give you 160GB. The math doesn't work.

Three techniques separate every modern open-weight model from the vanilla 2017 transformer: RoPE, RMSNorm, and GQA. None of them originated in LLaMA 2. RoPE came from Su et al. (2021). RMSNorm came from Zhang and Sennrich (2019). GQA came from Ainslie et al. (2023). What the LLaMA lineage did was consolidate them into a single coherent architecture that the entire open-source ecosystem built around. LLaMA 1 brought RoPE and RMSNorm into wide use. LLaMA 2 added GQA for its larger models (specifically the 34B and 70B) and doubled the context window to 4K. The 7B and 13B still use standard multi-head attention.

That is why every open-weight model released since mid-2023 shares the same config.json backbone: `num_key_value_heads`, `rope_theta`, `rms_norm_eps`. Not because LLaMA 2 invented them. Because LLaMA 2 was the first widely-adopted open model to ship all three together at scale.

[Post 1](https://yashpatel.xyz/blog/attention-is-all-you-need-what-the-paper-s-heads-are-actually-doing-at-each-layer) covered the attention mechanism: QKV projections, scaled dot product, causal mask. This post covers what those three techniques actually do and why the combination works. Together they explain why `num_key_value_heads` differs from `num_attention_heads` in most modern decoder configs, what raising `rope_theta` from 10,000 to 500,000 actually does to context length, and why the open-weight ecosystem almost universally abandoned `LayerNorm` after 2022.

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## The Paper's Claim

By mid-2023, the largest open-weight model was LLaMA 1 65B: competitive on several benchmarks, trained on 1.4T tokens, capped at 2K context, and requiring eight A100s for practical serving. Touvron et al. argued that three existing techniques, none original to Meta, could close most of the efficiency and quality gap: RoPE for position encoding that generalises to longer sequences, RMSNorm for stable training at scale, and GQA to cut the KV cache footprint by up to 8x at inference. LLaMA 2 70B, trained on 2T tokens with these three architectural changes, scores 68.9 on MMLU 5-shot, up 5.5 points from LLaMA 1 65B's 63.4 and within 1.1 points of GPT-3.5 at 70.0. GQA specifically brings the 70B's KV cache from around 100GB to around 12.5GB at a 10-user load, the number that makes two-GPU deployment realistic at that scale.

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## RoPE, RMSNorm, and GQA

A LLaMA 2 70B forward pass is the same transformer Vaswani et al. described in 2017 at the system level. Token embeddings enter, 80 identical decoder blocks process them via residual streams, and a final linear projection produces logits over the vocabulary. The causal mask, the QKV attention sub-layer, the feed-forward sub-layer, the skip connections: all unchanged. Three specific components inside each decoder block differ from the 2017 original: how position is injected into queries and keys before the dot product (RoPE, replacing sinusoidal encodings), how each sub-layer's inputs are stabilised before the linear projections (RMSNorm, replacing LayerNorm), and how key-value tensors are distributed across the 64 attention heads (GQA with 8 KV heads, replacing full MHA). Those three changes are the entire architectural delta from the vanilla transformer.

Three separate failure modes, three separate fixes. RoPE (Su et al. 2021) fixes positional encoding's length generalisation problem. RMSNorm (Zhang and Sennrich 2019) removes a GPU synchronisation barrier from every forward pass. GQA (Ainslie et al. 2023) cuts the KV cache footprint by up to 8x without touching the attention math.

Take the token "model" at position 42 in a 4,096-token input, processed by the first decoder block of LLaMA 2 70B (d\_model=8192, 64 query heads, 8 KV heads, head dimension d\_k=128). That single token passes through all three modified components before any output is produced. Here is what each one does.

### RoPE: Position as Rotation

The original transformer encodes position by adding a sinusoidal vector to each token's embedding before the first attention layer. Expand the dot product between query q at position m and key k at position n:

$$(\mathbf{q} + \text{PE}[m]) \cdot (\mathbf{k} + \text{PE}[n]) = \mathbf{q} \cdot \mathbf{k} + \mathbf{q} \cdot \text{PE}[n] + \text{PE}[m] \cdot \mathbf{k} + \text{PE}[m] \cdot \text{PE}[n]$$

The cross terms `q·PE[n]` and `PE[m]·k` depend on absolute positions m and n individually. There is no factorization that reduces this to a function of relative offset (m - n) alone. A model trained at 2K tokens has no algebraic guarantee that the positional signal at positions 500 and 510 transfers to positions 5,500 and 5,510. The model learns an approximation from data. It fails cleanly beyond training length.

Rotary Position Embedding (RoPE), introduced by Su et al. in "RoFormer" (2021) and adopted by LLaMA 1, applies rotations to Q and K inside the attention operation, after the linear projections but before the dot product. Each consecutive dimension pair (x\[2k\], x\[2k+1\]) is treated as a 2D point and rotated by an angle proportional to position. The rotation angles `θₖ = 10000^(−2k/d)` are fixed, not learned. For a token at position m, dimension pair k receives rotation m·θₖ:

$$x_{\text{rot}}[2k] = x[2k]\cos(m\,\theta_k) - x[2k+1]\sin(m\,\theta_k)$$

$$x_{\text{rot}}[2k+1] = x[2k]\sin(m\,\theta_k) + x[2k+1]\cos(m\,\theta_k)$$

Rotation is isometric: the norm of the vector is preserved. Additive positional encodings inflate vector norms by the PE magnitude, shifting softmax distributions in proportion to position rather than content. Rotation keeps attention logit scale unchanged.

What's interesting is what happens to the dot product after applying this rotation to both Q and K: the result depends only on content and relative distance (m - n). The algebraic proof is clean. The consequence is meaningful: a model trained at 4K context sees the same rotational relationship between tokens 100 and 200 as between tokens 4100 and 4200. This is why context extension works by scaling the base frequency schedule rather than full retraining.

Concrete numbers using LLaMA 2's head dimension (dₖ = 128, so 64 dimension pairs). The token "model" at position 42 receives rotation 42 × θ₀ = 42.0 radians on its fastest dimension pair (k = 0, completing about 6.7 full cycles) and 42 × θ₆₃ ≈ 0.0049 radians on its slowest (k = 63, barely a nudge). The 8,600x frequency spread across 64 pairs is the mechanism: fast-rotating pairs distinguish nearby tokens within a few positions; slow-rotating pairs retain signal across hundreds of tokens. Both happen simultaneously, in different dimensions of the same 128-dim head.

One non-obvious consequence: position 0 always receives identity rotation (m=0 makes all angles zero). The first token in every sequence, typically a BOS token, carries zero positional information from RoPE. Its attention patterns are driven entirely by content geometry. This explains why layer-0 attention heads often appear to attend uniformly across the sequence: there is no positional bias at the sequence start, only content similarity.

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align="center")

*Rotation angles freqs\[position, k\] mod 2π for 64 positions and 64 dimension pairs. Low-index pairs (bottom) complete multiple rotations within a short span. High-index pairs (top) are nearly flat. This frequency spread is what makes RoPE's locality bias multi-scale.*

### RMSNorm: Removing the Synchronisation Barrier

LayerNorm normalizes each activation vector in two sequential passes: subtract the mean (re-centering), then divide by the standard deviation (re-scaling). On GPU, the mean computation requires a barrier synchronisation across the full activation tensor before the variance step can begin. At large hidden dimensions and batch sizes, this barrier is a measurable throughput cost.

Root Mean Square Normalization (RMSNorm) drops re-centering entirely. Normalization is magnitude-only:

$$\text{RMSNorm}(\mathbf{x}) = \frac{\mathbf{x}}{\text{RMS}(\mathbf{x})} \cdot \gamma, \qquad \text{RMS}(\mathbf{x}) = \sqrt{\frac{1}{n}\sum_i x_i^2 + \varepsilon}$$

One pass. One learned scale γ per dimension. No mean subtraction, no learned shift parameter β. For the token "model" at position 42, this means the 8,192-dimensional activation vector entering each sub-layer is divided by its own RMS magnitude before the Q/K/V projections run. One scalar division, no synchronisation point. Zhang and Sennrich (2019) report 7-64% speedup over LayerNorm depending on architecture; for transformer blocks the gain is in the 7-9% range. At 80 layers across millions of training tokens, that compounds.

LLaMA 1 adopted RMSNorm as pre-norm: before each sub-layer, not after. The original transformer used post-norm. At 70B+ scale, post-norm produces unnormalized residuals that accumulate through the stack and reach the loss before any stabilization. Training diverges early. GPT-3 adopted pre-norm and documented the result. Every large model trained since followed.

### GQA: Asymmetric Caching

Every autoregressive decode step computes Q, K, and V for the new token, appends K and V to the cache, then reads the entire cached K and V to compute attention over the full context. The query is used once and discarded. Keys and values persist for the full lifetime of the sequence.

Grouped Query Attention (GQA), introduced by Ainslie et al. (2023), is built around this asymmetry. Query heads are never cached, so the number of query heads has zero effect on KV cache size. Only KV heads consume persistent memory. LLaMA 2 adopted GQA for its 34B and 70B models; the 7B and 13B use standard MHA. The 70B uses 64 query heads and 8 KV heads: every group of 8 query heads shares the same K and V projections. The token "model" at position 42 has its K and V projections written to one of those 8 KV slots. All 8 query heads in the same group attend over that single K/V entry. The attention computation inside each group is unchanged. Quality loss is negligible: Ainslie et al. report ROUGE-1 degradation within 0.3 points on any individual dataset and 0.1 points on average at T5 XXL scale.

The formula makes the savings concrete:

$$\text{KV bytes} = 2 \times \text{batch} \times \text{layers} \times \text{seq\_len} \times \text{num\_kv\_heads} \times \text{head\_dim} \times \text{dtype\_bytes}$$

At seq=4096, batch=10, float16:

```plaintext
Full MHA (64 KV heads):  2 × 10 × 80 × 4096 × 64 × 128 × 2  ≈  100 GB
GQA     ( 8 KV heads):  2 × 10 × 80 × 4096 ×  8 × 128 × 2  ≈  12.5 GB
```

The reason this matters at inference is memory bandwidth, not just total capacity. Each decode step reads the entire KV cache from DRAM. An A100 delivers 312 TFLOP/s of compute but only 2 TB/s of memory bandwidth. The compute units wait on the memory bus. GQA's 8x reduction in KV heads translates directly to 8x fewer bytes transferred per decode step. Latency at decode time tracks this reduction closely, since memory bandwidth is the binding constraint at the 70B scale.

The connection back to [post 1](https://yashpatel.xyz/blog/attention-is-all-you-need-what-the-paper-s-heads-are-actually-doing-at-each-layer): Flash Attention solves the O(n²) score matrix problem by rewriting the attention kernel. GQA solves a different problem. Even with Flash Attention eliminating the materialized score matrix, the KV cache still grows linearly with sequence length and linearly with num\_kv\_heads. Flash Attention does not touch the cache. GQA removes the second multiplier.

* * *

## What I Built and What I Found

**Artifact 1** implements RoPE in 200 lines of pure NumPy, with no PyTorch or HuggingFace dependency. Hardware: CPU-only, runtime around 45 seconds. The verification strategy uses the complex-number representation: `z_rot = z * exp(i * theta)` is mathematically equivalent to the real-valued 2D rotation matrix and serves as ground truth.

```plaintext
[Verification vs. complex reference]
  Max |q_complex - q_ours| : 0.00e+00
  Max |k_complex - k_ours| : 0.00e+00
  Expected: < 1e-14  (exact same computation, different notation)
```

Zero error. That is not an approximation matching a reference; it is two representations of the same geometric operation. The numerical proof of the relative-distance property over 20 random token pairs at arbitrary positions gives max error less than 1e-12. Floating-point rounding. The property is exact.

What the paper doesn't mention: the attention decay curve for sinusoidal PE is not monotonic. I measured E\[|q · k|\] as a function of relative distance d, averaging over 200 random unit-norm 128-dimensional vector pairs. RoPE decays from ~0.07 at d=0 to ~0.01 at d=127. Clean. Sinusoidal encoding behaves differently: pe\[0\] = \[0,1,0,1,...\] has norm $\\sqrt{64} \\approx 8$, which completely dominates unit-norm content vectors. The sinusoidal signal at d=0 sits near 1.0, overwhelmingly driven by position rather than content, then oscillates with no consistent directional trend across the 128-token window.

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align="center")

*E\[|q · k|\] vs relative distance. RoPE (blue) decays monotonically from ~0.07. Sinusoidal (orange) starts near 1.0 because pe\[0\] dominates unit-norm content vectors, then shows no consistent directional decay. Log scale on the right confirms RoPE's clean monotonic tail.*

A model trained with sinusoidal PE must learn locality bias entirely from data. RoPE provides it geometrically. That distinction matters most when extrapolating to sequence lengths not seen during training.

**Artifact 2** allocates real PyTorch KV cache tensors on an RTX 3090 and measures `torch.cuda.memory_allocated()` directly. No model weights loaded. The benchmark sweeps four architectures across sequence lengths 128-4096 and computes maximum batch size under a 20GB VRAM budget.

Results at seq=4096, batch=1:

```plaintext
  GPT-2 XL  (MHA, 25 KV heads, 48 layers)  : 1.172 GiB
  LLaMA-2 7B (MHA, 32 KV heads, 32 layers)  : 2.000 GiB
  LLaMA-2 70B (GQA, 8 KV heads, 80 layers)  : 1.250 GiB
  MQA variant  (1 KV head,  80 layers)       : 0.156 GiB

  70B hypothetical MHA (64 KV heads):        10.000 GiB
  Actual 70B GQA  (8 KV heads):               1.250 GiB  (8.0x reduction)
```

Maximum batch under 20GB budget at seq=4096:

```plaintext
  GPT-2 XL     (MHA):  max_batch = 17
  LLaMA-2 7B   (MHA):  max_batch = 10
  LLaMA-2 70B  (GQA):  max_batch = 16
  70B hypothetical MHA: max_batch =  2
```

The 70B GQA model serves 16 concurrent sequences within 20GB. Without GQA, the same model serves 2. The 7B MHA model serves 10 sequences, fewer than the 70B GQA, because LLaMA 2 7B's 32 KV heads at 32 layers produce a larger per-token KV footprint than the 70B's 8 KV heads at 80 layers. Counter-intuitive: model parameter count is not the right proxy for KV memory footprint at inference. Head count and layer count are.

![KV cache memory vs sequence 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iH9mU8galwDwWr0iJY/PDDD4fcoKAMXMe8efNC5vv22299B4sVNI+WUef1CHeTQmqPSyyPcBnin332WcQs5kgPBcy8xodwY43XQ0FCOXLkSKBixYohr+uYeVFw1j2t++YAv3RjSqTgbzBtr/scUFBINyI4dA3Ge5yUrZoauiFHQR4/76XtOPXUUwN9+vQJLFy40Nfyf/rpp7jGO+3jcAF4jYOxLMsrUJ1ewWJVCqhZs2bM26+bsfRZ4SdY7LdChfPQjUXhKj7Ecw5qPFC2qNtVV10V1/J0Y0JGDBY/8MADcW1PuL9N3OO5spVjGVt1s5AXZabHshyvz6i0ChbH8oh2Ew4AAEB2RM9iAAAAZBjqV/jvv/96vrZ//37PHsbR1KlTx/bUc3v33XdDnlN/PXdvUvVIVt/K1PDqC6zenImmvrAHDx5M8Zz6k/7www+2J6r6eqpf7y233BIy79y5c0OeU+/Su+66K+R59aOdNGmS2b59u+0Brd676q/opt6FXn1Lvahfq9Zf/Rh1rLXOXv171Z/S3bNxx44dtoet1/mk5Wi71cNVvTDVzzLY8OHDo/ajjYe7x6j2/7x58xLSr/jIkSO2v6R7355++ul2ueotvXXrVvP666/bXpLBPvnkE9vb1C/1utS1omOt3p/B/SbddK088sgjtm+1jqH606r3tNs333zj2WdSfZHVS9h9Xui4qQemzm2dvzqv1Gs3mHqcduvWzcRC/Vg3btxo51UfWvXGdrbDa1leY4Z49SPv3r27iYfXtTlhwgTPafW8+xzo0aOHyZUrV8QeweoJ/Pvvv9tjpGtD4576gwbP54wJXuOCX+pF+84779ieodFoO9RP9KmnnrLnsfpHa4yJ5M477wwZ79RPV9usHroamz744APbwziYenC/8sorIcv76quvzNSpU0Oe1zK1HI0zOk/Vn1q9WSVaH+C0pF7BOnbB1Df2pZdesue1ju33339vPwOCab/cc889vt5DyxB9hn722Wd2HNDnmXoB586dO2T6L7/8MuQ5Tf/oo4+GPK/jrP2tY6WxRcdNPZaDaTxQX9xgGuO8rjmdD8uXL08eJzSeuN16660J68mdKFpnjXFu6iGuHvDaHo2pGvc0NgXr27evr/7OSUlJdl/q/BgyZIhdnj4n1B+7du3aIdOvWrXK7kM3rYN7jNY6aT1Wr15t1/W3336zveYl2ue/3l/T9O/fP+Q1Pfdfgovtp+2HPhc0lmn9Nb5p/1188cUh023evDnF5zEAAACO/fEGAAAApKtYsv3cD5UdjZVXVpMylXfv3h21rG/r1q1Tvb1evf1Gjx6d6uW6qR9h9+7dbfatMu7Uy9arT60yJ1W6171OO3bsSDHdm2++GTKN5vMqZawysieccELI9LNnz04xnVcmkTKVvLI2VdLUq6zkN998E/X4tmzZ0m6n26RJk3yXzE5NZrHKW7v7FqvMtEPr5+5XLH4yi72yvVVa2au0uvqIujPBvLJevY6LsgqV7e+mDFCva3P48OEh06qMrHu6xo0bh0zndQx17MP1tlW2rVeG29SpU32NNZ07dw5EsnLlSs+sXXfZV68S1MWLFw/s378/EA+NSe5zXmOV13WsHrTB02l9lR0a7MILLwzJKo1UXlYZ1cqu7d27t+3z6pWBGitlhlatWjWu8V49sb3Oa2Ufe2WXq4+wm7ZBZbXd14tbx44dPcuPe5VW1lipMtpe65wemcU670qWLOlZncBN055++ukhGdHu/s1emcVOJvaePXtClus1Vilj0+3xxx8Pma5Bgwae14iuO3c2s67ztWvXJk/jVa45OFs1mFocuKdVL92MlFnsVcI/3DKHDh3qq1R3uM/Z77//PmRalWX3ypB3t3wIV6VF/Yu9qHqK1/Rex8rrXAp3TCNlFntVM9H571Xh4LXXXgu7fAAAgOyIzGIAAABkWO4sUOndu7fNComFMoPdGTnKOlGWZbD3338/ZN5rr73WpJZXJlNaZKRdd911NkPyp59+shlwyvBRZqabMnVOPPHEkOeV/erOtPPK3ipdunTI8yVLlrSZmcooeuGFF8z06dNtduvZZ58ddb07depkmjZtGvJ8qVKlTOPGjUOeVxZatGw2Zbi6j7nzXu5MKmUNJlqBAgVMkyZNPDNqla03Z86ciJnIkXhtr7JFlcnpdsYZZ9gMa/dxVTZfNF26dAnJ9BP3donOJ6/M/zPPPDPkOWU2ur3xxhshzymL+ZRTTvFcN2WLeWXvTpw40fgRrUpB9erVQ47JunXrzKxZs0L25c6dO1M8d/XVV3uOXX4o808Zhe6xyn2OKmPenfnXqlUrU7Vq1RTPValSJWTfX3755fb6VLZhMGXn//3333ablDmqLGf3/PHQOaBMZo0LJ598ckzzKpu7a9euIRmKXtdAr169TLly5UKe1za4x3Gtjx4OLX/mzJkh8z7xxBN2HHJTxvyTTz5pjpf58+eHjIPnnXeeadGiRci0efPmTc6aD/788co69/LYY495ZodfccUVIc8p+9rN63NEmahe14iuO1Wz0LFU9rcyo7VMJztc56y7KoPG2gceeMBz3fU+bmkx3qeG17kcroLDHXfcYYoUKRLX9ui6b9asmWfmvDL5ox1Lr+ujQYMG5n//+5/n+ynDt3z58ia9KFP9yiuv9Dz/dW24ua8fAACA7I5gMQAAADKke++917z22mshzysAqS9MY1GhQgXPLwuDy8qqhKKCrO4vofUFa2opkOqmYG5aUolQJ3CicpMKLqk8qQLnJ5xwgi3F6uYOHi1YsCBkGq/96D5mCigr0Oa13V68AhyRynU7pVEdXuUkvcpiO9wBSN18oDLHieYONirAoyCtAiDubYglWJza7VUZUZXzjsYrgC/u0taiEtpeZWnLli0b9UYJfWm/ePHikOmuv/76iOvn9bo7kORF5Za9gthuTinVYCqrnFYlqGMpRe0VXPcqu6ty2jly5Ejx3OTJk03Lli3tcdSNBCr3+vXXX4fcLJJIGks1Lvzxxx9m4cKFZtCgQaZ58+Y2kBPNhx9+aEaOHJnQa0C0Hg5d/yqxHEw3m1xyySVhl9m2bduQ0t3pJdHbH4m7jHVwifponyHxfI48/fTTZsSIEfaGDgU3g4OjahmgmyfcrSa8bpQRfda5xyC/250eVKJ75cqVKZ7T56b7po/gMsva3mAaO732u5uut3D8HEv330fiVeLZoc+DSNdPoqX27wgAAIDsjmAxAAAAMhwFg9XDT9lgXpkwCvLG0nc1XIbwlClTkrMCvbJz9EWnO4snHl6ZaeF6MyeCgoEK/ig4c+qpp9rsYgXHtF+177x6KIs7e89rHb2+VE4td09Rd5DJLbhnooLuXkEubbOCZF4PrwCfehsmmjsArCCpsrNS069Y1I/UKxgUbnvVozKe7Q2XFab19XsMvaZ1n2fqL+mVqRytr7dXAEzZv9H6ZCp45CdIqSx0d89ljRPqGS3qz+muTnDSSSf5CkRHy5Bz91nXeaOsX6dSgbt/srL9O3bsGLIsjZ/hshR13WicUOaogsbFixc3rVu3NqNHj7Y3mKQVBTXVL1rbpOxF9a1VZmikrGP1M492DXTo0CHsNaBetZGuAd2E5HUOKtM7HGXbKhiZaM75FYnX9g8bNizs9tetWzeuMUCff+E+A/30olYmuzsopwB7vBmnXtutIGa47dbD3dNXN4al9c1aqdke3TwTaXt001EwjUN//vln1PfyqiYS6Vi6x1Gvvxtq1aoV8T29+iGnldT8HQEAAACCxQAAAMhgVNIwODCg373KCatMpVc523CUIewOXCnooqy1cMHiRJSgDveF6a+//hrTMhRg9DPPjBkzbOaRgj/Dhw+3mVju4IO+qFdgKBqvUsV+gmyxihR08MrcC/4S210COF5pUZJSAWD3/lIpanewWMHFWMoWJ2Kb/WxvuOPizlSVcEE1r2n9ZHj5uUnDaxqd69ECQX4z3hVgUCludxb6t99+m1xe1z0GKZM3EdzZxTrn33rrLfv7F198ERLcVJZ1uGvz0UcfteObV8DQfTODzk2n/LTfkt6poX3cpk0bM3jwYJt1rG3zCsDqteCbVxJ9DbizVSVSoNgRb7nxSIEqPy0K0msMiHQdKss1ns8QP/OFk6jx3p1Ffryk5+dXao+l199b4TK6/bxnRvo7AgAAAASLAQAAkIH06NHD9il0Z6Hpea8MwnB9Cr0oOHrRRReFPK8MPWXsuUtlKqDUrl07kwheJTdVRtSrl3E4yhJWf0D1F1T/ydmzZ4cEHBSIVJDYnWWk7OJ77rnHBn9U8nL9+vWePQr9fNHrp9dtrLxuBvAr3mBNWn1p7/4iXT2DgykT1V0CPJYS1InaZj/bG8txSU053njPM69tUNAjWpDPT0akn1LU7gx17S/1DU8EBand6+nc0OLVW/2mm26KerOMepirBK+Cx7pBwatseHAWoW6WUcnqeKh3urJ5lZ2tvuXqfe0upe1FY64TFHcLLhWf6GvA6+YZrwByooKOkcoG+ykHnl5jQKRzJN5rWzeH+CmbnNnG+4y+Pak9ll7ZudHO1fTM4E7N3xEAAAAgWAwAAIAMRP1uvTIRn3zyyZBysPLqq6/aUqZ+eWUKK8A6atSokCyTq666KlUZUMEUwHVT+dXPPvvM1/wKZP/+++/2dwV7hw4davtIBvdPVeBYWdnBX8Irk/rzzz+3/Wk1j/oVV69e3b7mJ1Dt1W92+fLlYadX5t93330Xtsx1WlCQx51RqcCl9oeOqd/H7bffnibr5w4EqwSqO9M71mCx04s62F9//RXT9qrMe0ZRrVq1kOd0Q4OyeCPx6nOsUqTRspljyY7XzSruGytUjUDBbHcpfPUBjlQKNRYqo3711VeneE43GaxYscJe08EUjHX3MY20PQMHDjRz5861Y5DGv8cff9z233VXXtB50q9fv7jWX325deOP9tWcOXNsqXF3ye5wwpVkD8649boG9FkQyzUQXE3Ca3m6IUklfsP5559/fGV0ep2PkYJs0c77cOur4xrL9vsZp/1UBoh2HnsFRHUeh6MxUjdT6fz0s93qVRvLdutRv359kxF4bY/Gw1i3J1Lv4EQdS6+/B6KVv166dGmq3hMAAADph1vvAAAAkGGEywzRl5T9+/cPeV5fkt58882eZWy9KLPYHXRWAMKrp2uiSlA7Zai9spQfeughX+vep0+fkOeUdagencEBZXfvV/Ufbd++ved+C87SC6dJkyYhz6m/aDjKHFQWtXrN6tG8eXPz5ptvmrSkwLA7mKdgrPpYhqMAlspz+z1vUiNaIFgBulh73DZu3DjkOXdmfLAvv/zSvp5R+nR6BZS8gp1vvPFGxPm8Xtc5n+gMtBtuuCEkm/Tuu+9OsxLU4UpRi/qOu7MII2UV61rQDSYq7/zcc8/ZfsTBY0irVq1sQFjniG5IcQeMVf45nuxZr4Dvxx9/HDFI6AhXbr9y5cpxXwMKJCto7RWAdHo+u29a0GeDU3Lci9+xzevmBHcf3WCRxq54t1/HVjcG6CaM9OaurhDtc0Q3Nun8KVGihO2zq3NUJd+dKhnu61djebibn1SuXeedbnLy0ws6vVWsWDEkCKsbf8KdH9rOSZMm2eMZb3Z2vLTv3SLd8KZ11b73wyuQTZloAACA9EWwGAAAAJmCMj+9ev/qS2CvQLIXBUKuuOKKkOfdX7qqX6ey9RLp4YcfDvlCVOt+2WWXhc0y05elKjnt7nErPXv2TFFud82aNSHTeGWxigJGyprzer9gF154oWf2t4JPXiVbR44cmfxvZa3NmjUrYWU2I/EKiPft29dz27/++mtbGldffCtYprLeKtEbS0nwWDRr1ixiJmus/YrDbe9jjz3meR4p2KesMwX+FZTVua0bFyIFq44Hr+tywIABntnDTpDCK1jctWvXhGfYaZnuIOrrr78eUm5X51UiNW3a1JxyyikpnpsyZUqKf+uYqgpCuACpc47rRhmVor/rrrs8r19RYM6rVG2k/rrh6Jpyn9caZzt37hyxZK4ytm+77baQ50866SRToUKFiNfAsGHDUvQ1Dg4Y6sYajenBAUinWkOkGw00bnvdVKKS3k888YTxw6tHttbTXY5elixZEvUmCdGNOO5y67ohwKvShsZ1VZ1Qb2jtQ1VjUDDWXUY9rXh9jjzzzDMhfbdF41JwGfINGzbYgH2pUqXsv7XNqqoRTNnd6nntRedEx44d7fmja0E3FumYZiTuG8l0venzy8v48ePtWFmvXj3b5kA32eiGueN1HHUdqMKLF7UJ8boevXiNO+lxMxcAAAD+H8FiAAAAZAoqCf3888+HzUTyk43lN2NY/UJTW7LRK2ioTGI3BX/q1q1rRowYYYO7Cloqk0/BMGWlatvclLXr/jLZqzekgiHqoaqg9L59+8wvv/xig8y9evXyXEd3ydUrr7wyRYBGlJ3qZAzrS3oFKBUUViDCHYQqX768ueSSS0xaU+anOyCrzDUFhGbMmGED2cooVHBEwargL+W1zvqiOpbSxKntW5yaEtTOcXGCJw4FVXWO6bxRwE3HSeeWgoROsM/JKNdx8yopejwpQOgOfjnnmgI+KvmrYKMyU3XuKzDrDmIq6OIOJCWCgn0KOEU7JjrWieaVXeweq8K9r5OdGUzXgs45BbvVq13jjQI6ul5Uitp9w4Guf/e55ocCkhpr3NQzWb3XX375ZXss9f4ad3QdKuikmzi8MmSVUR1MFQzc2ejKmtXNFyrPrzFU26qxSW0AgrPAFYBU+dxatWqlmN8rSK3PFZ2DClhqeQpwaj31nN9MfWUse40vOmeU7auxWeukzwBtl58gma4V940Ruh4URFelDOfY6mYRfeapx71Dwfr58+fbgGN6UKDafY7qZiUF75V5qvFK66TsdpVyd2d/K4v69NNPT/631+eX+nDrWlFWurZb54LaVzz99NPJ0+g80zjp/kw73ryuE12fGuN0nLTeuvlK7TLuvPPOFJnvOr5eNyOkBQXcvcZX9SZ/5JFH7DmnddXfGWp58cILL/hettcYppvkdJ5ofPLbsgMAAACpEAAAAADS2fTp05XCGvLw45JLLvGc99RTTw0kJSVFnf/IkSOBChUqeC7Defz222+BtHD48OHAxRdfHPG9oz1y5coVmDZtWsiyt23bFsibN2+qlj1nzpyQ5X7wwQdxL++1114LWd55550XMp3Oh3C6desWMv3YsWNDpnv00UfjWseCBQsGVq1aFdfxDLd+7u3p169f2Pd3T9u/f39f2ztmzJi4tjdnzpyexzmW4+K1jnrOy+rVq0OmrVKliue0o0ePjvtc0zW9fv16X2ONtjVWU6dOjfj+M2fODKSFHTt22HM03PsuXLgw4vzjx49P1Zjw1FNPxb3uu3btClSvXj1V76/H6aefHjh06FDI8jUO5siRI65lvvvuu57r3Llz51Svr5cLLrjA9/x58uQJ5MuXL+o5u2nTpkCpUqXiWsdevXql6lp1+N3+oUOHxrWeOr669oIdPXrUc7zy82jQoIGvvxNiGe/jedx1110plnv99dfHtZzy5cvbMSK9Pmfnzp0b9zUX6bPi/fffjzhPgQIF4lrfeD6zAAAAsisyiwEAAJCpKMvQK0tL2SwqbRmN+h0GZ5e6KbNNmb5p1V9X/XLDZfb6yb7R/Mq+clMGoUrMpoYykL3KyaoccKx69OhhbrzxRpNelFkWrhxvOMooVoa0u1dpooXLHo6nX3Hw/r333ntjnk/Z+V79ZDMC9d5VNmCsWf2VKlWyWYnKZE8rylIP7pkbrHr16mmS0SzqsR7uvG7UqJE57bTTIs5//fXX2/7K8ZadVRn8eKnagbIDVfo8XsoeVvapKku4aRyMJXvRoXLc4fbpK6+8Yst2++FVCjucp556yrPUrhdlGKuHcjSqMPHpp5+GZORHowoE+hxNT9rn7t7ffuizR1Urgml8UJUIrz7nkaiagj4//R6H9KTzLtYxRH8PTJ482Y4R6UWfV8pc90Pnp9ffAF7juzL1va5xh7L6lV0NAACAtEOwGAAAAJmKvsgPF/xQ31aVF01NKWo/ZapTQ19UKxjwySefmPr168cUuFFJ1EhlnRVo87P+KgP7/vvve/bz9aKe0BMmTPAVwFAAVMfB3dM1rSkQr16X6kfppwdwxYoVbYBRPaPTWri+xfH0Kw727LPP2mCZn2CBSpVq/7jL+WY0ffr0seWzvfqTewUd1L/TKW2clnSTiQL04QKyiS5b76cUtYLrfigwqH7i7pLUka6l3r172yBtagNrVatWNYsWLbKliCMFg9x0vahPvcrwqsdwODqfJ06c6OtGAQXXtC+8Svs7dC199913EUvHi0pAf/DBB8YvlVJWv9lIpcr13rpG/R5X0Y0fKrUfXKY5HJ2j3bt3t6Wv06OXvJs+E3RDl5/gtnpxq+yybgIKF/idPn267xuEtJ/mzZtnatSoYTIinRfqOa0byXT9RaNAuUqLx3uzUWroBhJ99kRq3aC/01Ta3uvGC69xQMdTY38kKnMNAACAtJPxbqkEAAAAolBA8I033rB9HoOp16MyWfRlf6TgjZM9rJ6+sWQdJ5KCvuonqy+8P//8c9tbU9uzefNmG6BRYEdfCOtLbvX/85Pt7GTKKmCsL+b15biWpy+f9WVsw4YNbZ/Mq6++2n5hq0DOmjVrkudXltLw4cNtv1Gv4Ij6tirgoWCeej9q2eqTqXXV+in7slu3bsetJ6S2f9CgQebmm2827777rg0Gqxeqs57KdNKxv/TSSyP2ek2rvsXff/99qvsVu6mHpc5Zba+CDephqe1V70gFiE855RSbAanj4jdYeLypx6yuTQUbdE7OnTvXnqfKLtM2KcNX55q2W+d0elFP34EDB4Y8r77gaUljgG4sUT9WR4ECBWK6sUXBWo0juknEuX43btxo++UqcKj9qmtY2Y1arsaGRFEQVMFqXZvqJ6zrQAFknafqJaxqxgog6gYOrYP69qqiQbly5XwtX9t18cUX22xT9TZdsmSJ2bRpk902jWVaps4pBfsjBZ4dCjxr7NRY+vbbb5uff/7Z9tE94YQT7I0fCt63aNEi5v2gMadJkyZ2X2hsUv9wjVkKYKo/rTJv9R6xUnb5Dz/8YD9HdBPSnDlz7PZrnTX2aPk6rtp+jX/HkwKNCliPHTvWXt9Lly61GaP67FVvbN30oRuj9HkTrVe2zg+Ne/fff78N3Ds9brU8BTJ1rJs2bWrPD42BaXlDRyLoGtCNZBrTtV3aPzpHdJ1o/2h7dVOArg3dJHM8M6RV1UJ/v+hc/uqrr2xPef2doT7g2t8ab7Q9+kxyK1SokOcyNbZqPNdNAroBSL2sdQ6oMoGyyzNar2kAAICsJodqUR/vlQAAAAAAIKPfpPLEE0+keO7ss8+2GX7InrwCkHzFAhzz0EMPmcGDB6fYHboBI71uygMAAIB/ZBYDAAAAABClBOqLL76Y7lnFAJARqPJJtWrVbOa9MuD1U4/WrVt7tnPQTRPffvttyPN+WgwAAAAg/ZFZDAAAAABAUJBD5bxV9vTw4cO2xK9646qkubuvqoLI+onsicxiZBcaC1VC+tChQymeV3uD0aNH29LsGgtV/lwl89XSQm0EgqkVhILOfvoyAwAAIH2RWQwAAAAAQFAAsHHjxrYHeiS9evUiUAwgW1CP5EsuucRMmjQpxfPbt2+3PZT9uO222wgUAwAAZFBkFgMAAAAAEKRWrVpmxYoVYfdJ5cqVzZIlSwgWZ3NkFiM7Wb16tTn99NPNtm3bYp63YcOGZs6cOaZgwYJpsm4AAABInZypnB8AAAAAgCylYsWKYV+rWrWqmTJlCoFiANmKehZ/99135tRTT41pvksvvdR8/fXXBIoBAAAyMMpQAwAAAAAQpFWrVmbVqlVm06ZNtldnyZIlTf369W3Q46abbiLoASBbqlevnvnxxx9t8PfTTz81ixYtsv3cd+3aZfbv328KFChgihUrZqszNG3a1HTp0sVmFQMAACBjoww1AAAAAA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e94SbAcrUei5aslPf6viLdn+mY7LX6mc+98o6EnAh1uF9D/B9++sXcGjaoJV+MGSQ+if9TJy1pUP1mvyEm/LcXGxcn2/7ebW5fTV8gk8cNkRrV7kvxvX5Y/Yv07PuRw/HQffLr73+a29Lla2TSuCHJ/qeVFbZ3eqaXufjAnnVeLv5ulfTt9bykBV2/zs++YdbJnl4kMGnqfFnw7UqZ9sUIqV614k29v87HVQUL5HN7sUJqrfxpvfR5d5icj3RsNahB/A8/6e0XqVmjskweO9gEyDdi5twltqC4UMH8smD6Z8mCYv2+v/Baf1ORay/8XIS5SEBvGv7q/ipZoliKnzdjzrfywdDPJD6x8kTFno2TH9f+Zm5PdWotQwf2Sfa63Xv3S5fnekvYGa3GSRIadtbcftmwRb78eo7MnTJGAosXdfv5Dz1Q24TFep7qd/5G9xcAAMDN0j+9NKgMKJT8ojylQWqNCsn/1sib2F7anoal9tW+rtSrWsrl/Rrg6s1izTbO4eNlQuwq5VL+7zkNWsuVKCiiNyeN7eYVKw1vrQDX+T3KBBaQMpL8gk6LBt2N61RwuE/338O1yzvcVzawoLk50znDrmYNazieMIM5h6kctqdBtfP74+4iLAYAAADg8dq0aGyCW6tSsWHzLtL1idbySNMHJaBooZvaP28PGGWqX5Vv7lzyeLtHTJil4c3mP/82gdzFS1HyYs/3ZeqXI0y44hw2d+3eW/7eucdWidil42NSuJC//LvvkEyf+62pGAw/d/62Hz+tCn2j3xDzPzcyZ8okrVs2llo1KkvmzJlk775DMm/RMjlz9pyM+3KmuUr83T493L7XK28ONBWbZUqVkA5tmkkB/3ymMnT6nG9NaHs2PEJef+sj+eHbKclCZw2se7092CzrlfItmzeU+nVqmFlef/y1w1SuXr58RQYOGysFC+aXR5okhfD7Dx6R9l1fNftcPVDvfmnSqJ745s4px0+Emm3cu++gOf5PvdDHVJ1mzJh2fzLr8ez+yjuy/rc/bIHh4+0elZKBxeTSpWhTbbzsh3VmPz7RrZcsnT/Rbfh5OPi4vNr7Q1OR/dgjD5lt0XXV82HhtyvNZ/20boNMm/2NPP/M4w6vvXgxStp3eUWCj50w/65QrpR0aNNc8ubJbbZ/1rylsu/AEen9zrBkn1smKNBcSKHn36jPEoLPbk+2l7q1Eqpz9T2cfTV9oam8z++XR57o0FJKBhaVkJOhMnfB92YdIiIipWffQbJ2xawbbiGt4btWVasH6tVM9riuj66v7tN+A0aZ+3R/afW0tT2W1es2yEuvDzDrmvB+95tK71y5csjBQ0dl/uLlpmp385bt0q7rq7Js4STJli11FxRo9Xb/QaPNcj6/PKYq3LmaWrel41OvyZ5/D5p/lw4qLm0fa2oq7iPOXzABr1VFrZ0EflgyxVRnu7L5z+3mu6BdDDp1aCk1q1eynRMrf1xvnjNj7hKpX7eGw4UqetHC86/2N0Gxfr/atGxsqvV9smU1Fxjo908DYL3Y4oWe78tPS6e5vTCkQb37TXtw/X2nVdp6jgEAANxu2lI6LDxSygcVdqjSvRdEXohONmv4vyw45IxcvnI1WStw3JsIiwEAAAB4vGpVKpj2rtrqWR09flKGfvyFuWlYU7tmVROO1qtTXQrkT7o63B2t+LWCYn1vrQTUVscWDU6efbKddOr2hglHtdr099ULHMKnOQuW2oJibZU7feJI8fb2SnjwkYeka6fWJlzSgO920pDo3YEfm6BYw7c5U0ZLuTKOIeZLz3WSp17oa+Y3f/HVHNPKuVplx6vTLRoUaxvbEYP6OrTu1vuatXlWToedNYHUjl3/SqWKZWyPazterdRWuh90n9atXc32ePvWzaVl80bStXsfE/gNGTlBmj1c34Reuu4aSGpQrP8eM7y/tGvV1GG9Xuj2uLz/0RgTomnwPHHKPHnlha5pth+1Ha8VFOv+Gf/JQIdWvp06tDDnYLce/UyL6Nf6fChrls10GcZpWKcVwzMnf2xCTYtuk56nGuwrDfGdw+Lxk2bagmINEod/2Md2HFo9+rA800XPy14mMHam1aE6rztH9qTKgIrlSpn73NFjoWGlXhBh/7pnOreTNp17mHBUv2+/bthiWhzfCA1utaW1sj9XLHqe6LppO2pLicCiydZXA/Re/YbY2slrK3bn80PP8Zff+MAErnrhwaAR42XEoLeuu46/bfzTVIBrWJs7V06ZO3WMafftbOSYSbag+OnObWTQe70cvh9Pdmptqur1YgmtNH7rvREy66tPXH7m4SPHJWcOH1kwY5zDBQfapnv0+CkyetwU8+95i5Y7hMUaRlvnxttvvJDs/NeW4Xp+rvn5d/N75/fN22wXCjirVKGMOXf1u/fzb5sJiwEAwG0Veua8mam7PzjUVAgXdFHperfpXGClM3r/q/RCwbPnL5k21joXWltiW7OLcW9LmlYNAAAAAB5syIDeZt6tczinQZa2WNYArkaDNtKk1TMyYdIsuXAxac6xswmTZ5mfWbN6m5bC9kGxRQPX995KmDWsgfH8xSscHv96xiLbe4z/5IOkoDiRhtbaLlnDz9tp+uzFZk6yGjX47WRBscqVM4d8OuI9E2BqOPTl13Pdvp8GzkM/6J1sxrNWXHbu+Jjt31ZQblm4ZKWci0ioou7T8zmHoNiiVcZawa009NLwWmnr3J3/JLS97v50h2RBoNL1+bB/LykekBDkabtf+xa+t0LnTk+ckrBPtJLaOSi21KtdXXp072yWNazVald3nu7c1iEotr8QQavPlbb11opVi4bQ2uZalSoZ4PI4aGvkLz4dZKq104JWoo8d9b5DUKy0zbd9kL3TqS15auhMX0vpksVveh1nzltiKpzVi88+4fL80O/fhNEDbft24eKVZob39dbvuZffkbj4eLP9eqFFabtqZkvE+Ugz19wKWQcPeNPlDPS2jzUxs8qVVlRb4bIrb7z6rMvK9Jef72Jrse/8HdMKastDD9ZJ9lr9XfP6y0+bfaBzs2Nik84tV/tLL7Qx++Hv3W6fBwAAkBZ0BvHewyfFN2c2qRiU/MK8e4HOMPbKkuk/PYc3Ji5e9hw6YeY8lyiSz20rcNx7CIsBAAAAQOc5ZcpoqvmWzPtCWj36ULJw1qIzXYd98qU82KyzrEhs6epcifvXtl1muWH9miYEdad1i8a24Ear9SzBx0JM9aLSVrju3kNbCNevU/22Hj9tjWyFvA83rOv2eYEBReT+apXMslbQakDqir6Htq92pWzpErblyAuOc2PX/LzR/NT9ZR8qO+vWtb306/2iTB4/xKyT/TYobf2c0jnQ7rGEME4rnHfs2itpQWcRnzh52tYG2VVQbHnCbv1W250TzuxbbDuzn/ccGXnBtqxzg61KXA2bXc0zVhpoNqxfS9JC1Srlk7VctlQolxRmhoU5zshNjX0HDtuWg0oG3OQaiqxZn7CfNSB/odsTbp+nF25069rOLGsAvPaXhHPSFQ1etdpeL7TQ182YNEoqli/t8rlr128yQb7q0LZ5ijO/7c9f+98ZzrSFviva6jsg8YKISKfZzPYXtUyeNt/lxRJVK5WXTWsXmVbazq3znZVKDPD1ghttcQ0AAHC71K9WWhreX1YqaPvpNLroMa3VrRJk1vO/TFts63FoUL2MFLeb14x733/3EgYAAAAAuAnaPllvWpG5cfNW2bDpLzML9p89B0wrWUto2Fl5sed7Mu7jASb0tQ8GLZevXJEfVv+S4uf5+fmaWajadtmyY2dSSFm9iut2zvbVqFZ747SmrZ91Rqry8ckmq9b8muLzvRJD0KioaDlwSOcSJ6+iDCpRzO3rc2TPZlt2DqqsKkh9z+w+Sc9zFTjbh87Ox0SrbXXmrztR0QlV1GrHP/+aNuK3atuOpM+/eOnSdc8J3Y8a6u60OyecBZVwH45m90mq4rUP7Tdt2WZbrnV/5RTXoU6tqqbl8q1KqeLXJ1vScbyZMFFnHyv9H4Ja3X6zrPNDw01Xc5edv2+W7Tt2S+cOLZM951RomHR+7g3TLlrp7N/qVSum6vzQ0Dyl80PnW9ufn65ky+rtdp6xypH4/Yl3uqCjccO65mIMPRbaTUFbaGvL7kYP1JaaNSrd8ExpbVuutNuAtk63Lt4AAAAAcG8hLAYAAAAAF7T6U0MSvalzEZHyy4Y/zNxQq6JPQ5A+/Yeb6t48vrltQZFl1epfzS01tBWtNTM17Ow52/2FCuZP8XUlihe9bcfv1OmkNrsaGnd/5d1Uv/as3TbYy+7Ujtiefevdq9eSgnkN7nXesCqU2Ab4Rpw6nXRMdO5sap1xsw03/Pl258Ts+UvNLVWfH+7+87PbBevO7Ksprl69ZlsOtTuehd1U+1qKFSkkaSFHDvfH276CVr9LN8qqjLWf9X2jtJ18bGxCUF20SMHrPt/+OWfOuD4+WsFtb8HiFWber1Vpm9L58dkX02/rd0xlSDw/nPe5X15fGfFRX+n97nDzu0gDXm3Hrje9gKFurWomPH602YPJ2oq7XA+7izqcq5gBAAAA3DtoQw0AAAAAqZA7Vw5p9ejDMn3iSPlm9gTJnSuhZatWgM5dtMz2vIspzDJOiQY31mxg+/ewqnXd0dmvt8vNbot5bWK46yyji1msqQnSLTda3Xgr23HJzTbcqAsXo9L88zNmvPFrv/WCh9SeV97eN76f02o9UysusRpZK2nT4jzN6n3997FvIW5fhe7qwoe2jzW1Vcn3GzDKbSB+s+en2+/YLbRebN+6uXy/YKI0a9zA1iLf+j2nF8n0fW+4VG/QRr6aljD7OiX2x8U6VgAAAADuPVQWAwAAAPBo2gJ285btEnYm3MxxTU11Yc3qlWToB29Kj8Qq1T3/HrQ9Zj/reNjAPvJkp9Y3vE7a8tlizTJ1Jy4uXm6VVVnpzH5bdNbu52M+lLvBPqCLiY29idd7mQpSrZzctiF1Vb23a/1nTv5YGjZIm3nAN8o+aI+KjkmxnXd09I3v5zvNCrxv5TuQ1e4cTyn8tVgXdFjnlbuK6U+G9pN2rZrJ8ZCT8sdfO8xt3qLl0qlDi2TPt3+fn1fMlpIptGq/E+6rUEa+Gj9ULl6MkvUb/pD1v22WXzf8KcdCTtrazA8cNlayZMmc4u+3WLvjcr2LEwAAAADcPVQWAwAAAPBo637ZJINHfi4Tp8yTjX8kzXS9ngftAj8NVSxWO2prrvHNKFggad7o0eMJAY079q2FnaVPl/Qnn7aVdSfygusWsXny3Pq2pAVteZs5UyazfCJxTq07Wr2pM5yPHA2xzeu1tkMrlG9mNu6tsp+De/ou7scC/n625WPXOa+Onzgl9zprNrO7CtvUnlsaeqqjx05c9/mHjyTNu/bPn7Q/7bVs3shU6GpoPHjAm7b26kM+/lzOumgtfq98z1x1LXi06YMy8qO3ZePahfLjd9Ns1dLq08+npfh6+4rpHDmy39Z1BQAAAHDzCIsBAAAAeLRyZUralpeuWJPq19kHVMXsqpEr31fWtny98Fnb0/boNUD6Dxot02Z/Y7u/aqXyqX6PLVt3un0sc+aEgPV6rZD/3X/Y5f0F8vtJ/nx5zfKOXXtNRWFKRoyZaGY4j/1iukPr6FuVPn16KV8uyCzv3XcoxfU4cChYujz3ptRr/LgM+2Siua9yxbK2/f3n1l0pftZ3y1fLq70/lJFjJjlUjN+KyveVS/XxPHfuvDz3yjvywZDPzHzstFTF7rz6M4XzRm35a4fc66wuANoiOTw84qbeQwPdShXKmOV9Bw5fd071hk1/2ZbLli7h8jlW+Gz9fnm6cxuzHBERKYOGj0/2/Bv5naHr+Pxr/eWjEeNts9PTypr1G2X8xJky6tPJLh/XbRk76n2plPh90gtV9Hx1JyTxwg4NywsVSHn2OgAAAIC7h7AYAAAAgEd7oF5NyZkzoepNK1J/WP1Lql43b2HSnOLGjeralgMDikhQiQCzrO2ttc21O99894N8v3KtTJ+92LR5teTzy2NaXau1P2+UQ0eOuXy9Viku/2Fdqipa/9m9z+VzTKvZ3za7fY+mD9WztcOePudbt8/Tdfx88hyZt2iZfDV9ofhkS9tZyg89UMcWDH7z3Sq3z1uybLVtuX6d6g7boCZOmev2tRomj/x0sixZ9pOM/XKGXL16NU3WvUa1+yRXrhxmedkP6+R4iPuq3a9mLJRVq3+Vr2cslL937pG0pOepFWTOmv+d22pzXb8f1/6WYnhvSat9dDOC7No1Hw5Oqvh1lj59Otvy1avJ5wY3STw/Ll++IpOmzktxhvSMud/a9kGjB2qnaj37vN7dfKeVnrsbNiYFzkrfx5ozPHfBUreV/mrCpFmy8sf1phOCfZVzWpg0ZZ4MHz1Rxk2cadryu5Mr8felBu1edm28nR05etx2MU2mTExBAwAAAO5VhMUAAAAAPJrOk33r9edt/37lzYEyedp8t0GatjmeNW+JrQWrVgXWr1PD4TkvP9/FtqyVw67C3n/27JcPh42z/fv5bo87PP7qi0+an3Hx8fLS6+8nq5yMjomV1/oMMrN43bEqANWchd/LqVDHltXakrn3u0PlbApVmd2f7mhrAf3xZ1/JTy5CxPORF+TFnu/Z9tmzT7aXjBnTNhzq8vhjkjWrt1ke9smXsn1H8iBVq2WtsK94QGFpUDfhuDRv8oAEFCtslteu32iqhvU42tPQ8+0BIyX4aIj5d91a1aR82YRq5rQ4x3SfWGG3Vg67CuN+/nWzfD55llnW8PDZpxJek1Zy5sgunTs+ZpZ37z0gA4eNSxb26rHs8cYAt3OsE7bHy+H5d0v1qhUdvk83u76dOrS0XTCiIayrim7r+xZyIqFatkPrZlK4kH+qW1337/uy7d/vDPzYoR26VvBb7Z21DbX+ztBg2pleiGFdKKHr27HdI5KWWjRraH7qOfHWeyPMxRPO9OKXTX9sN8uVKpZxmMftfBHKkeCE79L9iRe+AAAAALg3cWknAAAAAI/3dJe2cuDwUZk6c5EJyTTE/fLruaYitXRQoOTxzWXaTh88fFRWr/td9h88YvZZfr88Mmns4GT7r0Ob5qYyUysAtUqzSatnpGOb5lKtSkUzR3fr3//IwsUrTRCsuj7eSmrVqOzwHg0b1DLta7WaV4O9Ri2elCc7tZZSJQJMe9dZ85fKkeDjpsLRXXVnmVKBJjDWClUNJx9t312e6dJWihQuYGbWavgUfOyE7TmuBBYvKv3fetm0RdaAq1uPftL0ofrS6MHaktXbS/YfOCKzFyy1Bc7aqval7p3S/Jzyy+srg/q/btpca+Vlm849zFxYrcBOaC+9QxZ9t8oE1hq0Dh/Y11YBq8H1uI8HSPsur5pt0KphDWbbPNbEtNnWAHDRdz/Iv/sOmedrVfSwgb3TdP1fe/EpMx9729+7TbD54CNd5Il2LaRi+VLm3NL2w9+vWGs7llqNWqxIoTRdB/O+PZ8zgb+el3q+b922S9q2air58vrKgUNHTcWxthfW1sFW+G/N3HU1+3jytAXimzuX2ed6zubKmVBBfSdUqVTOXECgbcn/+GuHPJXY7tlZ7tw5xcsriwnqF327UsoEFTczdKtVLi+FCvqbEH300HdNe2fd5p59B8nipavMea5VtHqxx7xFy+VYSMKcZ73w4MP+vW5oXdu1amou2NBuA/p+476caY6F5YN3XjOP6fdROxw80LyLPNG+hZQqGSDh5yJk7fpN5kIHy5ABb5oQOi11aNvcXCij6/fTug3mHNXfW9ruOyo6Rnbu+lcWfrvSfIf0u9WnZ3e377Vl6w7bBRn1aldL0/UEAAAAkLYIiwEAAABAxASRGsQOHzNRzp+/YAKzGXOXuN03WrU6YtBbUtDNLM4JnwyUfh+MkgWLV5iQSt/L1ftpVePgAW+4fI+P3k+4XwNjnaU6ZvxUh8dLlwo0IbO2sXZn7Mj3pePTPc326G3EmEkOj9esUVlGffSWNGjW2e17PPdUBxMODR4xwQRFq9b8am7OqlYuL1M+Hy5eWVxXG94qDc/i4uJl4NCxJmifu/B7c7On4eEnQ/pJXaeAqsp95WTu1DHy4uvvm+B8xz//mpszDY8njRtsQvK0pG1450wZIy+/8YEJjfUcc9USW/dzzx5Py6svJFSWpzUNRmd/NVq6du9tws+/d+01N3s6w7fW/ZVNla3z7GulLZX1ca0wPRUaJm/0G2LunzFpVKpbM6cFPc+0tfZ3y1bLbxv/NEG7fYtsi7ZLbtm8kQk6NZjv98HH5v6hH/S2BcxNH64vX372kfR+Z6ip1teLCfTmTIPPCaMHio/PjbdZ14C3WZtupt3155NmSZsWjaVEYFHbcflm9uem6lwv3ND9+ukEx++70jbiH/Z/XVq3aCy3Y39O+3KEOTeOHj9pquxHffZV8ud5ZTHr8GD9mm7fS4+H8vb2kiaNktrAAwAAALj3EBYDAAAAQGKgpJW7LR9pJKvXbTCB3t59hyT83HmJOB8pPtmyiX/+vFKjakVp0byR1KlZNcX9pgHb6GHvSpeOj5mKwk1btsvpsLNy9cpVE7ZpC11trexcUWxPg68hH/SWR5o2lKmzFslf23aZqtqihQtKm5aN5YVnnzAzTFOiYdS6FbNMxeDKH3+R4GMhkjlTRilZIsBUQHdq3yLFNtSWbl3bSZNGdWXa7MXyy4YtpjI5KjpacufKKRXKlZI2LZtIq0cfSlaFmtY03NOQSmf66npolbVWgxYu6G8qW7Vttrv2wNoO97cf55nqWa2c1KpobUucLau3BJUobmbXdn2iVZpXbFqy+2STmZM/NhWi3yxdZY6nBtd67hX0zye1a1aRpzq1SbP21ymdE2uWzZApMxfJilU/y5GjIRJ/+bKZt60VsN26tre1WbeCTGeTxw6RwSMnyLpfN5vKVx+fbObnnfZEu0dNWKwXU2z+82+pfX8Vl88bOrCPqXpevmqd2efamtq5JfUjTR6QWtUrybQ5i2XNzxvNzF290KOAfz4pX6akuVhBzz09XjdDK/21HfmkqfPNxQ56McnCmUmt6PX3y7KFk2TpijXm9vfOvab9fMZMGU03gAZ1apguCAFF077i3KIXSaz+fobMWfC9uSBk34HDZj9l9fY2F8bo9j/ZqdV1q95XrFpva21ttY8HAAAAcG9Kd815UBMAAAAA4P/GJ+O+tlUcL5gx9rohNpAa/QaMMqG6BqP7tv1kKkTvVY+0fc5UievFF1rtj7tLZ4e37tTDnDtrl8+UoBIBHBIAAADgHpa8PxMAAAAAAPjP0VnbHZ58TXq/O8xU4bqjM6DX/brJLJcMLHZPB8Xq1ZeeMj+XfP+TaSGNu0vb5lutvQmKAQAAgHsfYTEAAAAAAB7AL6+vbNm6Q+Z/s1wGDRsn0TGxLp83aMR4CTkRapZbPfqw3OuaN24gpUoGyKWo6GQzrHFnnQo9I8t/WGeWX3sxIcQHAAAAcG9jZjEAAAAAAB5AZ/a2aNZIliz7Sf7etVcaPdJV2rZqKsWLFZL06TNIyIlTsmT5avl33yHz/NJBxaXH853lXqftjge910s6dXtDvvx6rjzZqY14e2W526vlkSZMnmXmMT/e9hGpVLHM3V4dAAAAAKlAWAwAAAAAgIcY8sGbcup0mGz6Y7scCzkpn30+zeXzalavJJ+P+VCyZM4s/w/q1a4uXTo+ZuYsT525SF5+vsvdXiWPc+z4SZmzYKnkz5dXBrzz2t1eHQAAAACpRFgMAAAAAICHyJkjuyycMU5W/Lhevlu+Wnbs2ithYeGSPkN68c+fV8qUKiHtWzWThxvWkQwZMsj/k/feekV+/m2zjP1iunRo09y03cadM3jkBImNjZMRg/qa8wwAAADA/4d0165du3a3VwIAAAAAAAAAAAAAcGelZ4cDAAAAAAAAAAAAgOchLAYAAAAAAAAAAAAAD0RYDAAAAAAAAAAAAAAeiLAYAAAAAAAAAAAAADwQYTEAAAAAAAAAAAAAeCDCYgAAAAAAAAAAAADwQITFAA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align="center")

*KV cache GiB at batch=1 across four architectures. The 70B GQA line (1.250 GiB at seq=4096) stays below the 7B MHA line (2.000 GiB) even though the model is 10x larger: 8 KV heads × 80 layers beats 32 KV heads × 32 layers.*

![Max batch under 20GB budget](data:image/png;base64,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 align="center")

*Maximum concurrent sequences under a 20GB KV cache budget at seq=4096. MQA reaches 120+ at short contexts. The 70B GQA (16 sequences) outperforms the 7B MHA (10 sequences), and gives 8x more capacity than hypothetical 70B MHA (2 sequences).*

I found that measured memory sits slightly above the analytical formula for small tensors. At seq=128 for the GPT-2 XL configuration, the empirical-to-theoretical ratio is approximately 1.010. The CUDA allocator rounds allocations to internal block boundaries. At seq=4096 the ratio rounds to 1.000. The GQA paper reports memory savings using the analytical formula only. At production sequence lengths the formula is exact; at short contexts it overstates savings by 1-3%.

* * *

## Two Years Later

**Where it runs:** LLaMA 3 (8B, 70B, 405B), Mistral 7B and its derivatives, Gemma 2 (9B, 27B), Qwen 2.5, Phi-3 Medium. Every `modeling_llama.py` in HuggingFace implements all three mechanisms. vLLM, TGI, and TensorRT-LLM build their attention kernels around the GQA layout (from Ainslie et al. 2023) and RoPE rotations (from Su et al. 2021).

**What's changed:**

Context length is the dimension that has moved furthest. LLaMA 1 targeted 2K, LLaMA 2 doubled to 4K. LLaMA 3.1 extended to 128K via additional long-context training with one specific lever: `rope_theta`. LLaMA 2 uses `rope_theta = 10,000`, the default from the original RoPE paper (Su et al. 2021). LLaMA 3 bumped it to 500,000. Raising `rope_theta` shifts every dimension pair's rotation speed slower, so the slow-rotating pairs retain meaningful discrimination capacity at much greater token distances. The 50x increase in `rope_theta` roughly tracks the 50x increase in effective context. YaRN (2023) and the LLaMA 3 technical report both identify `rope_theta` scaling as the primary lever for context extension without retraining from scratch.

GQA is effectively the default for open-weight decoder models released since 2023: Mistral 7B, LLaMA 3 (all sizes), Qwen 2.5, and Phi-3 all ship it. The earlier debate between GQA and MQA (single shared KV head) settled in favor of GQA: MQA is measurably worse above 34B parameters, where the single key-value representation bottlenecks model capacity.

In decoder-only models at 7B+ scale, RMSNorm has effectively replaced LayerNorm across every major open-weight release since 2023.

**The production gotcha:** Model weights are a fixed one-time memory cost. The KV cache is not. It grows with every token generated, every concurrent user, every active session. At 100 concurrent users each holding a conversation at 8K context, a 70B GQA model needs:

```plaintext
2 × 100 × 80 × 8192 × 8 × 128 × 2  ≈  268 GB of KV cache
```

That is roughly 1.9x the model weights. The model fits on two A100s. The conversations do not. This is exactly why vLLM implements PagedAttention and why KV cache eviction exists in every production serving stack. GQA makes the per-token cost 8x smaller. At high concurrency and long context, the cache still dominates. LLaMA 2 identifies the mechanism; the serving systems covered later in this series are built around managing it.

* * *

## The Code

Both artifacts are in [`llama-2/`](https://github.com/yash-61016/llama-2).

**Artifact 1** (`rope_from_scratch.py`): RoPE in pure NumPy, no PyTorch. Proves the relative-distance property over 20 random position pairs, verifies against a complex-number reference (max error 0.00e+00), and generates the decay curve comparison against sinusoidal PE and the rotation angle heatmap. Hardware: CPU-only. Runtime: ~45 seconds.

**Artifact 2** (`gqa_kvcache_benchmark.py`): Allocates real KV cache tensors on GPU for four architecture configurations, measures memory with `torch.cuda.memory_allocated()`, sweeps seq 128-4096, computes max batch under a 20GB budget, and generates the memory and batch capacity charts. Hardware: RTX 3090 (24GB VRAM), CUDA required. Runtime: ~25 seconds.

Dependencies: PyTorch 2.1.0, NumPy 1.24.3, Matplotlib 3.7.1.
