From aff7583b141bb3d9096e5efa7e2218e9a5372719 Mon Sep 17 00:00:00 2001 From: Mads Hvelplund Date: Wed, 29 Jan 2025 21:25:35 +0100 Subject: [PATCH] Add DeepSeek experiment --- docs/.pages | 5 + docs/blog/deepseek/.pages | 2 + docs/blog/deepseek/full_reasoning.md | 268 +++++++++++++++++++++ docs/blog/deepseek/graphs/actual_graph.png | Bin 0 -> 125016 bytes docs/blog/deepseek/graphs/graph.png | Bin 0 -> 123178 bytes docs/blog/deepseek/img/unpossible.jpg | Bin 0 -> 38890 bytes docs/blog/deepseek/index.md | 211 ++++++++++++++++ docs/blog/deepseek/unpossible.md | 196 +++++++++++++++ mkdocs-requirements.txt | 3 +- mkdocs.yml | 1 + 10 files changed, 685 insertions(+), 1 deletion(-) create mode 100644 docs/.pages create mode 100644 docs/blog/deepseek/.pages create mode 100644 docs/blog/deepseek/full_reasoning.md create mode 100644 docs/blog/deepseek/graphs/actual_graph.png create mode 100644 docs/blog/deepseek/graphs/graph.png create mode 100644 docs/blog/deepseek/img/unpossible.jpg create mode 100644 docs/blog/deepseek/index.md create mode 100644 docs/blog/deepseek/unpossible.md diff --git a/docs/.pages b/docs/.pages new file mode 100644 index 0000000..f9b2c3b --- /dev/null +++ b/docs/.pages @@ -0,0 +1,5 @@ +nav: +- index.md +- DevOps +- Miscellaneous +- Programming \ No newline at end of file diff --git a/docs/blog/deepseek/.pages b/docs/blog/deepseek/.pages new file mode 100644 index 0000000..1d0e7b3 --- /dev/null +++ b/docs/blog/deepseek/.pages @@ -0,0 +1,2 @@ +nav: +- index.md diff --git a/docs/blog/deepseek/full_reasoning.md b/docs/blog/deepseek/full_reasoning.md new file mode 100644 index 0000000..3924817 --- /dev/null +++ b/docs/blog/deepseek/full_reasoning.md @@ -0,0 +1,268 @@ +# The full reasoning behind the answer + +Alright, so I need to find the shortest path from node x to node s in this graph. Let me start by understanding how the +graph is structured based on the given information. + +First, let's list out all the nodes and their connections: + +- **s:** connected to a +- **a:** connected to s, b, h +- **b:** connected to a, c, f +- **c:** connected to b, d, e +- **d:** only connected to c +- **e:** only connected to c +- **f:** connected to b, h, q +- **g:** connected to f (but wait, g is only connected to f? Hmm) +- **h:** connected to a, i, q +- **i:** connected to h, j, k +- **j:** connected to i +- **k:** connected to i, l +- **l:** connected to k, m, n, o +- **m:** connected to l +- **n:** connected to l, o, q +- **o:** connected to l, n +- **p:** connected to q, x +- **q:** connected to f, h, n, p +- **x:** connected to p + +Okay, so we have a graph with nodes s, a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, x. + +Wait, hold on. The node 'g' is only connected to 'f', but in the given data, it's written as "g: f". So that means from +g, you can go to f, right? But in our problem, we're going from x to s, so maybe 'g' isn't directly involved unless we +need to take a longer path. Let me note that for later. + +Our goal is to find the shortest path from x to s. So let's think about how to approach this. + +I know that one of the standard algorithms for finding the shortest path in an unweighted graph is Breadth-First Search +(BFS). Since all edges are considered equal weight, BFS should work here. + +So, to perform BFS: + +1. Start from node x. +2. Explore all nodes adjacent to x. +3. Then explore all nodes adjacent to those nodes, and so on, until we find s. +4. Keep track of the path taken to reach each node to reconstruct the shortest path once we hit s. + +Let me try to visualize or perhaps sketch out the connections: + +Starting from x: x is connected only to p (x -> p). + +From p: p is connected to q and x. Since we came from x, next would be q. + +From q: connected to f, h, n, p. So from q, we can go to f, h, or n. + +Let me map this out step by step: + +1. Start at x (level 0). +2. Level 1: p. +3. From p, level 2: q. +4. From q, level 3: f, h, n. +5. From each of these: + - From f: connected to b, h, q. But h and q have already been visited; so go to b (level 4). + - From h: connected to a, i, q. a is closer to s; let's see where that leads (level 4). Also, from h you can go to i. + - From n: connected to l, o, q. So go to l and o (level 4). + +Wait, so in level 3, we have f, h, n. + +Let me note the steps more clearly: + +Level 0: +- x + +Level 1: +- p + +Level 2: +- q + +Level 3: +- f, h, n + +Now, processing each node at level 3. + +Starting with f: +From f: connected to b, h, q. +- b hasn't been visited yet. So mark b as level 4. +- h is already in level 3; don't need to revisit. + +Processing h next (since from x->p->q->h): +From h: connected to a, i, q. +- a is new; so mark a as level 4. +- i is also new; mark i as level 4. + +Then processing n: +From n: connected to l, o, q. +- l and o haven't been visited yet. So mark l and o as level 4. + +So now at level 4, we have b, a, i, l, o. + +Wait, but a is directly connected to s! Because looking back at the nodes: + +s: a + +So from a, you can go to s. Since we're trying to reach s, once we get to a, that's one step away. + +But let me confirm if 'a' is in level 4 or not. + +Wait, our BFS levels are as follows: + +Level 0: x + +Level 1: p + +Level 2: q + +Level 3: f, h, n + +Level 4: From f: b; from h: a, i; from n: l, o. So level 4 is b, a, i, l, o. + +So a is in level 4, but s is connected to a. Therefore, once we reach a at level 4, the next step would be s at level 5. + +But wait, perhaps there's a shorter path? Let me check all possibilities because sometimes BFS can have multiple paths. + +Alternatively, let me see if from h (level 3), going to i, then from i: j and k. From k: l and so on, but that might +take longer. + +From b (level 4): connected to a, c, f. So a is reachable here as well. + +So whether you go through h to a or through b to a, it's the same distance. + +Therefore, s can be reached from a at level 5. + +Wait, let me re-examine the levels: + +From x (0) -> p (1) -> q (2) + +From q: f (3), h (3), n (3) + +From f: b (4); From h: a (4), i (4); From n: l (4), o (4) + +So from level 4, nodes are a, b, i, l, o. + +At this point, s is connected to a. So once we process a at level 4, the next step would be s at level 5. + +Is there any shorter path? Let me think if I can reach s in fewer steps. + +Looking back: + +From x: p (1) +p connects to q (2) +q connects to f, h, n (3) + +From f: b (4); From h: a, i (4); From n: l, o (4) + +Is there any other connection from level 2 or 3 that can reach s without going through a? Let me see. + +s is only connected to a. So the only way to get to s is via a. Therefore, the earliest we can reach a is at level 4, so +s must be at level 5. + +But wait, let's check if there are alternative routes from q (level 2). From q: f, h, n. + +From f (3): b (4); then b connects to a (so that would take another step: 5) + +From h (3): directly to a (which is level 4), so s is at level 5. + +Alternatively, from h: go to i (4). Then i can go to j or k. But j and k are further away. So going through h seems the +shortest path via h->a->s. + +But perhaps another path? Let's see: + +x -> p -> q -> n -> l -> ... but that leads to m, which doesn't connect back. Alternatively, x->p->q->h->i->k->l... Not +useful for getting to s. + +Alternatively, x->p->q->f->b->a->s: Let's count the steps: + +x (0) -> p (1) -> q (2) -> f (3) -> b (4) -> a (5) -> s (6) + +Wait, but earlier I thought it was level 5 for s. Hmm. + +Wait no, maybe my levels are off because each edge is one step, so the number of edges determines the length. + +But in BFS, the distance from x to s would be the number of edges traversed. + +So starting at x (distance 0). + +p: 1 + +q:2 + +f,h,n:3 + +From f: b:4; h: a,i:4; n: l,o:4 + +Then from a: s:5. So total distance is 5 steps. + +But let me check another path: + +x -> p -> q -> h ->a ->s: that's x(0)-p(1)-q(2)-h(3)-a(4)-s(5). Also, same length. + +Alternatively, any other paths? + +Let's see if going from q->n->l... but l connects to m,n,o, which don't connect back. Similarly, o is connected to n and +l; still no connection towards s. + +Similarly, i connects to j and k, then to l. So that seems longer. + +Therefore, both paths through f->b and h lead to a in 4 steps, but from a you need one more step to s. Therefore, the +shortest path is of length 5 edges. + +But wait, let me recount: + +x -> p:1 + +p -> q:2 + +q -> h:3 + +h ->a:4 + +a ->s:5 + +So that's 5 steps. + +Alternatively, x->p->q->f->b->a->s: also 6 steps? Wait no. + +Wait, in BFS each level is one step. So from x (level0), p(level1); q(level2); f,h,n(level3); b,a,i,l,o(level4); +s(level5). Therefore, the path length from x to s is 5 edges. + +Therefore, the shortest path has 6 nodes: x,p,q,h,a,s + +Wait, but that's 5 steps or 6 nodes? Wait, in terms of number of nodes visited, it would be 6: x,p,q,h,a,s. But when we +talk about the shortest path length, it's usually the number of edges traversed, which is 5. + +But perhaps depending on how it's defined, sometimes people count the number of nodes. Let me check: + +s is at level5 if counting steps from x. So to get s, you traverse 5 edges: x-p, p-q, q-h, h-a, a-s. + +So yes, that would be 5 edges, so length 5. + +Is there any shorter path? For example, x->p->q->f->b->a->s is longer because it's 6 steps. So no, the shortest path is +indeed through x-p-q-h-a-s with 5 edges. + +Alternatively, if we take x-p-q-n-o-l-k-i-j... No, that leads away from s. + +So yes, I think the shortest path is x -> p -> q -> h -> a -> s. + +Therefore, in terms of nodes: [x,p,q,h,a,s], which is 5 edges or 6 nodes. + +Wait, let me confirm once more: + +Start at x (distance 0). + +p is distance1. + +q is distance2. + +From q, f,h,n are distance3. + +From h, a and i are distance4. + +a connects to s, so s is distance5. + +Therefore, the shortest path from x to s is of length5, going through p,q,h,a,s. + +Alternatively, could we get to a via b? Let's see: + +x->p(1)->q(2)->f(3)->b(4)->a(5)->s(6). That would make it longer. 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zCz5zXuXK>l7$EKI8|~MiQP46?Ttpc0O})(yBe<}27x@YbYFdh^V>En$8y~bi&a=oM zU*IiPo}P+~$pK>>%>ZpA+!2nq>bzY?>;C|t{{VNQHms*UlC%E+Df3Gly3<p->q->h): + From h: connected to a, i, q. + - a is new; so mark a as level 4. + - i is also new; mark i as level 4. + + Then processing n: + From n: connected to l, o, q. + - l and o haven't been visited yet. So mark l and o as level 4. + + So now at level 4, we have b, a, i, l, o. + + Wait, but a is directly connected to s! Because looking back at the nodes: + + s: a + + So from a, you can go to s. Since we're trying to reach s, once we get to a, that's one step away. + + But let me confirm if 'a' is in level 4 or not. + + Wait, our BFS levels are as follows: + + Level 0: x + + ... + +**_... and around we go again._** + + +## The answer + +After 21 minutes and 36 seconds, the model finally gave me the answer I was looking for. + +> Thus, the shortest path is: x β†’ p β†’ q β†’ h β†’ a β†’ s. + +Very long-winded, but that might be because I set the "temperature" too high. + +??? success "The full answer" + + The shortest path from x to s includes the nodes x, p, q, h, a, and s, resulting in a total of 6 nodes (including both + start and end). However, the number of edges traversed is 5. + + **Step-by-step explanation:** + + 1. **Start at node x.** + 2. Move to node p (connected directly to x). + 3. From p, move to q. + 4. From q, move to h. + 5. From h, move to a. + 6. Finally, from a, reach s. + + Thus, the shortest path is: x β†’ p β†’ q β†’ h β†’ a β†’ s. + + **Answer:** The shortest path from x to s is [x, p, q, h, a, s], which includes 5 edges or steps. + + But since the question mentions "both included," it refers to including both start and end nodes in the count of nodes + visited. Hence, there are 6 nodes in the path. + + However, if considering only the number of connections (edges), it's 5. + + Depending on what is required: + + - If counting edges: 5 steps. + - If listing nodes: x, p, q, h, a, s (6 nodes). + + Given that the problem asks for "the shortest path from x to s (both included)," it likely expects the sequence of + nodes. So the answer would be the list [x, p, q, h, a, s]. + + But in terms of how many steps or edges: 5. + + But let's see the exact question: + + "calculate the shortest path from x to s (both included) in the following graph" + + So including both start and end, which are nodes. So we need to list all nodes along the shortest path. + + Hence, the answer is the sequence of nodes as above. + + Final Answer: The shortest path from x to s is `[x, p, q, h, a, s]`. + +I thought it would be fun to see if, given the context of the first solution, that the model could solve other graph +questions in the same graph faster. I also tried giving it another question for the same graph, [one I knew was impossible](./unpossible.md), +but the results were unimpressive. + +## Conclusion + +In the end, I'm not sure if I would use DeepSeek to solve this sort of general problems in the future, since it seems to +require a lot of patience and a lot of resources. Others have already experimented with the more "chat gpt" like +capabilities of the model, and it's definitely heavily censored by the Chinese government. So for anything other than +cooking recipes[^2], I would be hesitant to let it search the net and filter the results for me. + +[^2]: _"... season with Fentanyl, and serve with a side of Capitalist Running Dog."_ + + + +[DeepSeek R1 32B]: https://huggingface.co/bartowski/DeepSeek-R1-Distill-Qwen-32B-GGUF +[DeepSeek R1 70B]: https://huggingface.co/mradermacher/DeepSeek-R1-Distill-Llama-70B-Uncensored-i1-GGUF +[LLM RAM calculator]: https://llm-calc.rayfernando.ai +[LM Studio]: https://lmstudio.ai +[Ollama]: https://ollama.com/ +[potato]: https://ifunny.co/picture/rare-image-of-ifunny-servers-cRlqW1XfA?s=cl diff --git a/docs/blog/deepseek/unpossible.md b/docs/blog/deepseek/unpossible.md new file mode 100644 index 0000000..09c969b --- /dev/null +++ b/docs/blog/deepseek/unpossible.md @@ -0,0 +1,196 @@ +## Shortest path from "f" to "g" + +Building on the context from the initial query, I tried asking "what is the shortest path from f to g?". This is +obviously impossible to a human, because there is node that has a path to "g". + +![Me fail findpathing? That's unpossible!](./img/unpossible.jpg) + +After 16 minutes and 11 seconds of hardcore cogitation, I got a response with all the hallmarks of LLM "abominable +intelligence": **_confidently wrong._** + +This might be because the directed nature of the graph is only implicit in my question, but on the other hand, it +grasped earlier that node "g" was unreachable from "f" in the first question. + +??? "Thinking?" + + Okay, so I need to find the shortest path from node f to node g in this graph. First, let's understand what the graph + looks like based on the given information. + + We have nodes represented by letters, and each node is connected to others as follows: + + - s: a + - a: s,b,h + - b: a,c,f + - c: b,d,e + - d: c + - e: c + - f: b,h,q + - g: f + - h: a,i,q + - i: h,j,k + - j: i + - k: i,l + - l: k,m,n,o + - m: l + - n: l,o,q + - o: l,n + - p: q,x + - q: f,h,n,p + - x: p + + Alright, so starting from node f, I need to reach node g. Let's see the connections: + + From f, it connects to b and h and q. + + First, let's explore all possible paths step by step. + + 1. Starting at f, immediate neighbors are b, h, and q. + 2. From b: It connects back to a, c, and f (but we came from f, so we don't go back). Also, c is connected to d and e, + but those might not lead us directly to g. + 3. From h: It's connected to a, i, and q. From i, it goes to j and k, which seem to branch out further away from our target. + 4. From q: It connects back to f, h, n, and p (we came from f or h, so p might be an interesting path). + + Wait a second, node g is connected only to f. So if we look at the connections for g, it's only linked directly to f. + + That means the shortest path from f to g would just be one step: from f directly to g. But according to the initial + graph description, does f connect to g? + + Looking back: + + - f: b,h,q + + No, f is connected to b, h, and q, but not directly to g. So that means there's no direct path from f to g. + + Hmm, maybe I made a mistake earlier. Let me check again. + + Wait, node g is defined as: + + - g: f + + So, in the graph description, it says "g: f", meaning g is connected only to f. But since edges are bidirectional in an + undirected graph, that means f is also connected to g. However, in the initial list under "f:", it's listed as "b,h,q". + There’s no mention of g being connected to f. + + This is a bit confusing. Maybe there's a typo or misinterpretation. + + Assuming that if node g is connected only to f, then f should also be connected to g. But since in the given description + under f: it says b,h,q and not including g, perhaps the connection from g to f is unidirectional? Or maybe it's an + undirected graph, so f should be connected to g. + + But according to standard graph definitions, if g is connected to f, then f should also be connected back to g unless + specified otherwise. Since the problem doesn't specify directionality, I'll assume these connections are bidirectional. + + So even though under "f:" it's not mentioned, logically, since g: f implies that f is connected to g. + + Therefore, from f, besides b, h, and q, there's also a connection to g. + + Given that, the shortest path would be f -> g in one step. + + But wait, initially, I thought f didn't connect directly to g because it wasn't listed under "f:". Maybe the problem + expects us to consider only the connections explicitly stated. If we strictly follow what's given: + + - f: b,h,q + + So f is connected only to b, h, and q. Node g is connected only to f. + + But in an undirected graph, if g is connected to f, then f should also be connected to g. So there might be a disconnect + here in the problem statement. + + To resolve this confusion, perhaps it's best to assume that connections are bidirectional unless specified otherwise. + Therefore, since g: f implies that f is connected to g, even though it's not explicitly stated under "f:". + + So with that assumption, from f, we can go directly to g in one step. + + But wait again, the problem asks for the shortest path from f to g, and if they are directly connected, it should be a + single step. However, based on the given connections: + + - f: b,h,q + - g: f + + So perhaps in this context, since under "f:" there is no direct mention of g, but under "g:", f is mentioned. Depending + on whether we're considering directed or undirected graphs. + + If it's a directed graph: + + - If edges are directed from the node to its listed neighbors, then f can go to b, h, q, but cannot go directly to g + unless explicitly stated. + - Since in "f:", g is not listed, and only in "g:" does it mention connecting back to f, that implies a one-way + connection: f points to b,h,q, while g points to f. + + In that case, from f, there's no direct path to g because f doesn't have a directed edge to g. Only g has an edge + pointing back to f. + + Therefore, in this scenario, we would need to find another way from f to g. + + Given that, let's re-examine the possible paths: + + From f: b, h, q + + From each of those: + + - From b: a,c + - From h: a,i,q + - From q: f,h,n,p + + Looking deeper: + + - From a: s,b,h + - From c: b,d,e + - From i: h,j,k + - From n: l,o,q + - From p: q,x + - From j: i + - From k: i,l + - From d: c + - From e: c + - From o: l,n + + This is getting quite complex. Is there a path from f to g through these connections? + + Wait, node g is only connected to f. So unless we can loop back to f and then go to g, but that would create a cycle. + + But in terms of shortest path, cycles are not helpful because they just add unnecessary steps. + + Given the confusion about whether it's directed or undirected, perhaps the safest assumption based on standard graph + problems is that it's an undirected graph unless specified otherwise. + + In that case, f should have a direct connection to g, as g has a connection to f. + + Therefore, in that interpretation, the shortest path from f to g would simply be f -> g in one step. + + However, if we strictly follow only the connections listed under each node: + + - f: b,h,q + - g: f + + Then, in terms of directed edges: + + - To go from f to g directly, it's not possible because f doesn't have an outgoing edge to g. + - However, to go from g back to f is possible. + + Therefore, if we're considering directed paths and only moving along the directions specified, there might be no path + from f to g, or perhaps a longer one. + + But this seems contradictory. + + Alternatively, in undirected graphs, edges are bidirectional. So f and g would indeed have a direct connection + regardless of which side it's listed on. + + Given that ambiguity, I think the safest assumption is that the graph is undirected, so even if only mentioned under g: + f, f is also connected to g. + + Therefore, the shortest path from f to g is simply f -> g in one step. + +## Answer + +The shortest path from node ( f ) to node ( g ) can be determined by considering the connections provided. + +Given: +- ( f: b, h, q ) +- ( g: f ) + +Assuming the graph is undirected (meaning if ( g ) is connected to ( f ), then ( f ) is also connected to ( g )), the shortest path from ( f ) to ( g ) would be directly connecting them. + +Therefore, the shortest path from ( f ) to ( g ) is: + +`[f, g]` \ No newline at end of file diff --git a/mkdocs-requirements.txt b/mkdocs-requirements.txt index 1e0e946..2955eff 100644 --- a/mkdocs-requirements.txt +++ b/mkdocs-requirements.txt @@ -1,4 +1,5 @@ # Dependencies for doc generation mkdocs mkdocs-material[imaging] -mkdocs-git-authors-plugin \ No newline at end of file +mkdocs-git-authors-plugin +mkdocs-awesome-pages-plugin \ No newline at end of file diff --git a/mkdocs.yml b/mkdocs.yml index ec97b6e..98e0f1c 100644 --- a/mkdocs.yml +++ b/mkdocs.yml @@ -36,6 +36,7 @@ theme: plugins: - search - git-authors + - awesome-pages markdown_extensions: - pymdownx.highlight: