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diff --git a/llm/ckpt.pt b/llm/ckpt.pt
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diff --git a/llm/generate.py b/llm/generate.py
new file mode 100644
index 0000000..f088829
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+++ b/llm/generate.py
@@ -0,0 +1,50 @@
+"""
+Generate text from a saved checkpoint.
+
+Usage:
+    python generate.py --checkpoint ckpt.pt --prompt "First Citizen:" --tokens 300
+"""
+
+import argparse
+import torch
+from model import LLM
+
+
+def generate(args):
+    device = "cuda" if torch.cuda.is_available() else "cpu"
+
+    ckpt = torch.load(args.checkpoint, map_location=device, weights_only=False)
+    config = ckpt["config"]
+    tokenizer = ckpt["tokenizer"]
+
+    model = LLM(config).to(device)
+    model.load_state_dict(ckpt["model"])
+    model.eval()
+
+    prompt = args.prompt or ""
+    if prompt:
+        idx = torch.tensor(tokenizer.encode(prompt), dtype=torch.long, device=device).unsqueeze(0)
+    else:
+        # Start from a single newline token
+        idx = torch.zeros((1, 1), dtype=torch.long, device=device)
+
+    out = model.generate(idx, max_new_tokens=args.tokens,
+                         temperature=args.temperature, top_k=args.top_k)
+    print(tokenizer.decode(out[0].tolist()))
+
+
+def parse_args():
+    p = argparse.ArgumentParser(description="Generate text from a trained LLM checkpoint")
+    p.add_argument("--checkpoint",   type=str,   default="ckpt.pt", help="Path to checkpoint")
+    p.add_argument("--prompt",       type=str,   default="",        help="Seed text")
+    p.add_argument("--tokens",       type=int,   default=300,       help="Tokens to generate")
+    p.add_argument("--temperature",  type=float, default=0.8,       help="Sampling temperature")
+    p.add_argument("--top_k",        type=int,   default=20,        help="Top-k sampling (0 = off)")
+    return p.parse_args()
+
+
+if __name__ == "__main__":
+    args = parse_args()
+    if args.top_k == 0:
+        args.top_k = None
+    generate(args)
diff --git a/llm/model.py b/llm/model.py
new file mode 100644
index 0000000..780ee0a
--- /dev/null
+++ b/llm/model.py
@@ -0,0 +1,171 @@
+"""
+Basic LLM: a character-level GPT-style Transformer built from scratch.
+
+Architecture:
+  - Token + positional embeddings
+  - N Transformer blocks (masked multi-head self-attention + feed-forward)
+  - Layer norm + linear head
+"""
+
+import math
+import torch
+import torch.nn as nn
+import torch.nn.functional as F
+
+
+class CausalSelfAttention(nn.Module):
+    """Multi-head self-attention with a causal (look-ahead) mask."""
+
+    def __init__(self, config):
+        super().__init__()
+        assert config.n_embd % config.n_heads == 0
+        self.n_heads = config.n_heads
+        self.head_dim = config.n_embd // config.n_heads
+        self.n_embd = config.n_embd
+
+        # Fused Q/K/V projection
+        self.qkv = nn.Linear(config.n_embd, 3 * config.n_embd, bias=False)
+        self.proj = nn.Linear(config.n_embd, config.n_embd, bias=False)
+        self.dropout = nn.Dropout(config.dropout)
+
+        # Causal mask: upper-triangular, registered as a non-parameter buffer
+        mask = torch.triu(torch.ones(config.block_size, config.block_size), diagonal=1).bool()
+        self.register_buffer("mask", mask)
+
+    def forward(self, x):
+        B, T, C = x.shape
+
+        q, k, v = self.qkv(x).split(self.n_embd, dim=2)
+
+        # Reshape to (B, n_heads, T, head_dim)
+        def reshape(t):
+            return t.view(B, T, self.n_heads, self.head_dim).transpose(1, 2)
+
+        q, k, v = reshape(q), reshape(k), reshape(v)
+
+        # Scaled dot-product attention
+        scale = math.sqrt(self.head_dim)
+        scores = (q @ k.transpose(-2, -1)) / scale          # (B, nh, T, T)
+        scores = scores.masked_fill(self.mask[:T, :T], float("-inf"))
+        weights = F.softmax(scores, dim=-1)
+        weights = self.dropout(weights)
+
+        out = weights @ v                                     # (B, nh, T, hd)
+        out = out.transpose(1, 2).contiguous().view(B, T, C) # (B, T, C)
+        return self.proj(out)
+
+
+class FeedForward(nn.Module):
+    """Position-wise feed-forward network (expand → GELU → contract)."""
+
+    def __init__(self, config):
+        super().__init__()
+        self.net = nn.Sequential(
+            nn.Linear(config.n_embd, 4 * config.n_embd),
+            nn.GELU(),
+            nn.Linear(4 * config.n_embd, config.n_embd),
+            nn.Dropout(config.dropout),
+        )
+
+    def forward(self, x):
+        return self.net(x)
+
+
+class TransformerBlock(nn.Module):
+    """Self-attention + feed-forward with pre-layer-norm residual connections."""
+
+    def __init__(self, config):
+        super().__init__()
+        self.ln1 = nn.LayerNorm(config.n_embd)
+        self.attn = CausalSelfAttention(config)
+        self.ln2 = nn.LayerNorm(config.n_embd)
+        self.ff = FeedForward(config)
+
+    def forward(self, x):
+        x = x + self.attn(self.ln1(x))
+        x = x + self.ff(self.ln2(x))
+        return x
+
+
+class LLM(nn.Module):
+    """
+    Tiny GPT-style language model.
+
+    config fields:
+        vocab_size  – number of tokens
+        block_size  – maximum context length
+        n_embd      – embedding dimension
+        n_heads     – number of attention heads
+        n_layers    – number of Transformer blocks
+        dropout     – dropout probability
+    """
+
+    def __init__(self, config):
+        super().__init__()
+        self.config = config
+
+        self.tok_emb = nn.Embedding(config.vocab_size, config.n_embd)
+        self.pos_emb = nn.Embedding(config.block_size, config.n_embd)
+        self.drop = nn.Dropout(config.dropout)
+        self.blocks = nn.Sequential(*[TransformerBlock(config) for _ in range(config.n_layers)])
+        self.ln_f = nn.LayerNorm(config.n_embd)
+        self.head = nn.Linear(config.n_embd, config.vocab_size, bias=False)
+
+        # Weight tying: share token embedding and output projection weights
+        self.head.weight = self.tok_emb.weight
+
+        self.apply(self._init_weights)
+
+    def _init_weights(self, module):
+        if isinstance(module, nn.Linear):
+            nn.init.normal_(module.weight, mean=0.0, std=0.02)
+            if module.bias is not None:
+                nn.init.zeros_(module.bias)
+        elif isinstance(module, nn.Embedding):
+            nn.init.normal_(module.weight, mean=0.0, std=0.02)
+
+    def forward(self, idx, targets=None):
+        B, T = idx.shape
+        assert T <= self.config.block_size, "Sequence longer than block_size"
+
+        positions = torch.arange(T, device=idx.device)
+        x = self.drop(self.tok_emb(idx) + self.pos_emb(positions))
+        x = self.blocks(x)
+        x = self.ln_f(x)
+        logits = self.head(x)  # (B, T, vocab_size)
+
+        loss = None
+        if targets is not None:
+            loss = F.cross_entropy(logits.view(-1, logits.size(-1)), targets.view(-1))
+
+        return logits, loss
+
+    @torch.no_grad()
+    def generate(self, idx, max_new_tokens, temperature=1.0, top_k=None):
+        """
+        Autoregressively generate tokens given a conditioning sequence.
+
+        Args:
+            idx            – (1, T) tensor of starting token ids
+            max_new_tokens – number of tokens to generate
+            temperature    – >1 = more random, <1 = more focused
+            top_k          – if set, restrict sampling to the top-k logits
+        """
+        for _ in range(max_new_tokens):
+            # Crop to block_size if needed
+            idx_cond = idx[:, -self.config.block_size:]
+            logits, _ = self(idx_cond)
+            logits = logits[:, -1, :] / temperature  # last time-step
+
+            if top_k is not None:
+                v, _ = torch.topk(logits, min(top_k, logits.size(-1)))
+                logits[logits < v[:, [-1]]] = float("-inf")
+
+            probs = F.softmax(logits, dim=-1)
+            next_token = torch.multinomial(probs, num_samples=1)
+            idx = torch.cat([idx, next_token], dim=1)
+
+        return idx
+
+    def num_params(self):
+        return sum(p.numel() for p in self.parameters())
diff --git a/llm/tokenizer.py b/llm/tokenizer.py
new file mode 100644
index 0000000..543cc85
--- /dev/null
+++ b/llm/tokenizer.py
@@ -0,0 +1,20 @@
+"""
+Character-level tokenizer.
+
+Maps every unique character in the training corpus to an integer id.
+Simple, requires no external libraries, and good enough for a tiny LLM.
+"""
+
+
+class CharTokenizer:
+    def __init__(self, text: str):
+        chars = sorted(set(text))
+        self.vocab_size = len(chars)
+        self._stoi = {ch: i for i, ch in enumerate(chars)}
+        self._itos = {i: ch for i, ch in enumerate(chars)}
+
+    def encode(self, text: str) -> list[int]:
+        return [self._stoi[ch] for ch in text]
+
+    def decode(self, ids: list[int]) -> str:
+        return "".join(self._itos[i] for i in ids)
diff --git a/llm/train.py b/llm/train.py
new file mode 100644
index 0000000..b8918a0
--- /dev/null
+++ b/llm/train.py
@@ -0,0 +1,150 @@
+"""
+Training script for the basic LLM.
+
+Usage:
+    # Train on a text file (defaults to a tiny built-in dataset if omitted)
+    python train.py --data path/to/corpus.txt
+
+    # Quick smoke-test on the built-in dataset
+    python train.py
+"""
+
+import argparse
+import types
+import random
+import torch
+from model import LLM
+from tokenizer import CharTokenizer
+
+# ---------------------------------------------------------------------------
+# Tiny built-in corpus (Shakespeare excerpt) used when no file is provided
+# ---------------------------------------------------------------------------
+BUILTIN_TEXT = """\
+First Citizen: Before we proceed any further, hear me speak.
+All: Speak, speak.
+First Citizen: You are all resolved rather to die than to famish?
+All: Resolved. Resolved.
+First Citizen: First, you know Caius Marcius is chief enemy to the people.
+All: We know't, we know't.
+First Citizen: Let us kill him, and we'll have corn at our own price.
+Is't a verdict?
+All: No more talking on't; let it be done: away, away!
+Second Citizen: One word, good citizens.
+First Citizen: We are accounted poor citizens, the patricians good.
+What authority surfeits on would relieve us: if they
+would yield us but the superfluity, while it were wholesome,
+we might guess they relieved us humanely; but they think we are
+too dear: the leanness that afflicts us, the object of our
+misery, is as an inventory to particularise their abundance;
+our sufferance is a gain to them. Let us revenge this with
+our pikes, ere we become rakes: for the gods know I speak this
+in hunger for bread, not in thirst for revenge.
+"""
+
+
+def get_batch(data: torch.Tensor, block_size: int, batch_size: int, device: str):
+    """Sample a random batch of (input, target) sequences."""
+    ix = torch.randint(len(data) - block_size, (batch_size,))
+    x = torch.stack([data[i : i + block_size] for i in ix])
+    y = torch.stack([data[i + 1 : i + block_size + 1] for i in ix])
+    return x.to(device), y.to(device)
+
+
+def train(args):
+    # ------------------------------------------------------------------
+    # 1. Load / prepare data
+    # ------------------------------------------------------------------
+    if args.data:
+        with open(args.data, encoding="utf-8") as f:
+            text = f.read()
+    else:
+        print("No --data file provided. Using built-in Shakespeare excerpt.")
+        text = BUILTIN_TEXT
+
+    tokenizer = CharTokenizer(text)
+    data = torch.tensor(tokenizer.encode(text), dtype=torch.long)
+
+    split = int(0.9 * len(data))
+    train_data, val_data = data[:split], data[split:]
+
+    print(f"Corpus: {len(text):,} chars | vocab: {tokenizer.vocab_size} | "
+          f"train tokens: {len(train_data):,} | val tokens: {len(val_data):,}")
+
+    # ------------------------------------------------------------------
+    # 2. Build model
+    # ------------------------------------------------------------------
+    device = "cuda" if torch.cuda.is_available() else "cpu"
+
+    config = types.SimpleNamespace(
+        vocab_size=tokenizer.vocab_size,
+        block_size=args.block_size,
+        n_embd=args.n_embd,
+        n_heads=args.n_heads,
+        n_layers=args.n_layers,
+        dropout=args.dropout,
+    )
+
+    model = LLM(config).to(device)
+    print(f"Model: {model.num_params():,} parameters | device: {device}")
+
+    optimizer = torch.optim.AdamW(model.parameters(), lr=args.lr)
+
+    # ------------------------------------------------------------------
+    # 3. Training loop
+    # ------------------------------------------------------------------
+    best_val_loss = float("inf")
+
+    for step in range(1, args.steps + 1):
+        model.train()
+        x, y = get_batch(train_data, args.block_size, args.batch_size, device)
+        _, loss = model(x, y)
+        optimizer.zero_grad()
+        loss.backward()
+        torch.nn.utils.clip_grad_norm_(model.parameters(), 1.0)
+        optimizer.step()
+
+        if step % args.eval_interval == 0 or step == args.steps:
+            model.eval()
+            with torch.no_grad():
+                vx, vy = get_batch(val_data, args.block_size, args.batch_size, device)
+                _, val_loss = model(vx, vy)
+
+            print(f"step {step:>6} | train loss {loss.item():.4f} | val loss {val_loss.item():.4f}")
+
+            if val_loss.item() < best_val_loss:
+                best_val_loss = val_loss.item()
+                torch.save({"model": model.state_dict(), "config": config, "tokenizer": tokenizer},
+                           args.checkpoint)
+
+    # ------------------------------------------------------------------
+    # 4. Sample from the trained model
+    # ------------------------------------------------------------------
+    print("\n--- Generated sample ---")
+    ckpt = torch.load(args.checkpoint, map_location=device, weights_only=False)
+    model.load_state_dict(ckpt["model"])
+    model.eval()
+
+    seed_text = text[:args.block_size] if len(text) >= args.block_size else text
+    idx = torch.tensor(tokenizer.encode(seed_text), dtype=torch.long, device=device).unsqueeze(0)
+    out = model.generate(idx, max_new_tokens=200, temperature=0.8, top_k=20)
+    print(tokenizer.decode(out[0].tolist()))
+
+
+def parse_args():
+    p = argparse.ArgumentParser(description="Train a basic character-level LLM")
+    p.add_argument("--data",          type=str,   default=None,           help="Path to training text file")
+    p.add_argument("--checkpoint",    type=str,   default="ckpt.pt",      help="Where to save the best model")
+    p.add_argument("--block_size",    type=int,   default=64,             help="Context length")
+    p.add_argument("--batch_size",    type=int,   default=32,             help="Batch size")
+    p.add_argument("--n_embd",        type=int,   default=128,            help="Embedding dimension")
+    p.add_argument("--n_heads",       type=int,   default=4,              help="Number of attention heads")
+    p.add_argument("--n_layers",      type=int,   default=4,              help="Number of Transformer blocks")
+    p.add_argument("--dropout",       type=float, default=0.1,            help="Dropout probability")
+    p.add_argument("--lr",            type=float, default=3e-4,           help="Learning rate")
+    p.add_argument("--steps",         type=int,   default=2000,           help="Training steps")
+    p.add_argument("--eval_interval", type=int,   default=200,            help="Steps between evaluations")
+    return p.parse_args()
+
+
+if __name__ == "__main__":
+    train(parse_args())