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R1-1.5b-Par-Temp-0.7-Ans-40-32768-deg-8-path-3-n-2000-s-700-e-800

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prompt stringlengths 458 484	gold_answer stringlengths 7 11	raw_answer_0 stringlengths 606 108k	extracted_answer_0 stringlengths 0 19.2k ⌀	num_boxed_0 int64 0 3	grade_0 bool 2 classes	ans_token_len_0 int64 172 32.8k	finished_0 bool 2 classes	raw_answer_1 stringlengths 806 84.9k	extracted_answer_1 stringlengths 0 3.47k ⌀	num_boxed_1 int64 0 2	grade_1 bool 2 classes	ans_token_len_1 int64 267 32.8k	finished_1 bool 2 classes	raw_answer_2 stringlengths 570 89.1k	extracted_answer_2 stringlengths 0 59 ⌀	num_boxed_2 int64 0 5	grade_2 bool 2 classes	ans_token_len_2 int64 178 32.8k	finished_2 bool 2 classes	raw_answer_3 stringlengths 841 50.5k	extracted_answer_3 stringlengths 0 31.9k ⌀	num_boxed_3 int64 0 3	grade_3 bool 2 classes	ans_token_len_3 int64 229 32.8k	finished_3 bool 2 classes	raw_answer_4 stringlengths 971 77.4k	extracted_answer_4 stringlengths 0 31.2k ⌀	num_boxed_4 int64 0 78	grade_4 bool 2 classes	ans_token_len_4 int64 233 32.8k	finished_4 bool 2 classes	raw_answer_5 stringlengths 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classes	raw_answer_16 stringlengths 707 54.5k	extracted_answer_16 stringlengths 0 18.1k ⌀	num_boxed_16 int64 0 3	grade_16 bool 2 classes	ans_token_len_16 int64 294 32.8k	finished_16 bool 2 classes	raw_answer_17 stringlengths 767 84.4k	extracted_answer_17 stringlengths 2 81 ⌀	num_boxed_17 int64 0 17	grade_17 bool 2 classes	ans_token_len_17 int64 257 32.8k	finished_17 bool 2 classes	raw_answer_18 stringlengths 608 84.3k	extracted_answer_18 stringlengths 0 119 ⌀	num_boxed_18 int64 0 229	grade_18 bool 2 classes	ans_token_len_18 int64 167 32.8k	finished_18 bool 2 classes	raw_answer_19 stringlengths 574 99.2k	extracted_answer_19 stringlengths 0 113 ⌀	num_boxed_19 int64 0 3	grade_19 bool 2 classes	ans_token_len_19 int64 213 32.8k	finished_19 bool 2 classes	raw_answer_20 stringlengths 714 46.3k	extracted_answer_20 stringlengths 0 171 ⌀	num_boxed_20 int64 0 3	grade_20 bool 2 classes	ans_token_len_20 int64 231 32.8k	finished_20 bool 2 classes	raw_answer_21 stringlengths 647 86k	extracted_answer_21 stringlengths 0 134 ⌀	num_boxed_21 int64 0 3	grade_21 bool 2 classes	ans_token_len_21 int64 248 32.8k	finished_21 bool 2 classes	raw_answer_22 stringlengths 556 65.7k	extracted_answer_22 stringlengths 0 31.8k ⌀	num_boxed_22 int64 0 5	grade_22 bool 2 classes	ans_token_len_22 int64 191 32.8k	finished_22 bool 2 classes	raw_answer_23 stringlengths 934 70.5k	extracted_answer_23 stringlengths 2 159 ⌀	num_boxed_23 int64 0 2	grade_23 bool 2 classes	ans_token_len_23 int64 314 32.8k	finished_23 bool 2 classes	raw_answer_24 stringlengths 863 86.2k	extracted_answer_24 stringlengths 0 161 ⌀	num_boxed_24 int64 0 4	grade_24 bool 2 classes	ans_token_len_24 int64 301 32.8k	finished_24 bool 2 classes	raw_answer_25 stringlengths 689 78.9k	extracted_answer_25 stringlengths 0 164 ⌀	num_boxed_25 int64 0 660	grade_25 bool 2 classes	ans_token_len_25 int64 265 32.8k	finished_25 bool 2 classes	raw_answer_26 stringlengths 456 96.7k	extracted_answer_26 stringlengths 0 159 ⌀	num_boxed_26 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32.8k	finished_31 bool 2 classes	raw_answer_32 stringlengths 625 70.5k	extracted_answer_32 stringlengths 0 31k ⌀	num_boxed_32 int64 0 103	grade_32 bool 2 classes	ans_token_len_32 int64 220 32.8k	finished_32 bool 2 classes	raw_answer_33 stringlengths 614 60.6k	extracted_answer_33 stringlengths 0 178 ⌀	num_boxed_33 int64 0 5	grade_33 bool 2 classes	ans_token_len_33 int64 214 32.8k	finished_33 bool 2 classes	raw_answer_34 stringlengths 445 72.6k	extracted_answer_34 stringlengths 3 133 ⌀	num_boxed_34 int64 0 3	grade_34 bool 2 classes	ans_token_len_34 int64 135 32.8k	finished_34 bool 2 classes	raw_answer_35 stringlengths 595 94.2k	extracted_answer_35 stringlengths 0 138 ⌀	num_boxed_35 int64 0 3	grade_35 bool 2 classes	ans_token_len_35 int64 213 32.8k	finished_35 bool 2 classes	raw_answer_36 stringlengths 601 64.7k	extracted_answer_36 stringlengths 0 117 ⌀	num_boxed_36 int64 0 8	grade_36 bool 2 classes	ans_token_len_36 int64 160 32.8k	finished_36 bool 2 classes	raw_answer_37 stringlengths 349 76k	extracted_answer_37 stringlengths 0 90 ⌀	num_boxed_37 int64 0 3	grade_37 bool 2 classes	ans_token_len_37 int64 132 32.8k	finished_37 bool 2 classes	raw_answer_38 stringlengths 675 107k	extracted_answer_38 stringlengths 0 270 ⌀	num_boxed_38 int64 0 7	grade_38 bool 2 classes	ans_token_len_38 int64 236 32.8k	finished_38 bool 2 classes	raw_answer_39 stringlengths 763 66.1k	extracted_answer_39 stringlengths 0 30k ⌀	num_boxed_39 int64 0 56	grade_39 bool 2 classes	ans_token_len_39 int64 237 32.8k	finished_39 bool 2 classes
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	118,54,21	"First, I need to analyze the given graph structure to understand the connections between the nodes.(...TRUNCATED)	118,21	1	false	635	true	"First, I need to parse the given edge list to understand the structure of the graph. The edges are (...TRUNCATED)	118,21	1	false	1,002	true	"First, I need to understand the structure of the graph provided. The graph is represented as a stri(...TRUNCATED)	118 \rightarrow 21	3	false	4,757	true	"First, I need to understand the structure of the graph provided. It's in the form of a list of edge(...TRUNCATED)	118,21	1	false	806	true	"First, I need to parse the given edge list to identify the nodes and their connections. The edge li(...TRUNCATED)	118,21	1	false	1,010	true	"To find the path from node 118 to node 21 in the given graph, I start by identifying the edges conn(...TRUNCATED)	\text{No path exists from 118 to 21	1	false	648	true	"First, I need to parse the given edge information to construct the graph. Each line represents an e(...TRUNCATED)	118,21	1	false	1,221	true	"I need to find a path from the source node 118 to the destination node 21 in the given graph. The e(...TRUNCATED)	118,21	1	false	979	true	"To solve the problem of finding the path from node 118 to node 21 in the given graph, I start by id(...TRUNCATED)	118, 207, 21	1	false	505	true	"I need to find the path from node 118 to node 21 in the given graph. The graph is represented by a (...TRUNCATED)	118,21	1	false	404	true	"I need to determine the path from node 118 to node 21 in the given graph. I'll start by analyzing t(...TRUNCATED)	118,207,13,76,78,63,55,66,86,162	1	false	1,523	true	"To find the shortest path from node 118 to node 21 in the given graph, I'll perform a breadth-first(...TRUNCATED)	118, 21	1	false	2,603	true	"To find the shortest path from node 118 to node 21 in the given graph, I first need to parse the in(...TRUNCATED)	\text{No path exists	1	false	1,483	true	"I need to find a path from node 118 to node 21 in the given graph. Starting from 118, I follow the (...TRUNCATED)	118,21	1	false	749	true	"To find the path from node 118 to node 21 in the given graph, I will start by examining the structu(...TRUNCATED)	118,21	1	false	579	true	"First, I need to understand the structure of the graph provided. It's a list of edges where each ed(...TRUNCATED)	118,21	1	false	1,330	true	"To find the shortest path from node 118 to node 21 in the given graph, I will use a breadth-first s(...TRUNCATED)	118, 54, 21	1	true	1,883	true	"I need to find a path from the source node 118 to the destination node 21 using the given graph str(...TRUNCATED)	118,21	1	false	664	true	"First, I'll parse the given graph string to extract the source and destination nodes. The source no(...TRUNCATED)	118,21	1	false	503	true	"First, I need to parse the given graph structure. It is provided as a string with edges separated b(...TRUNCATED)	212, 21	1	false	832	true	"I need to find the path from node 118 to node 21 in the given graph. \n\nFirst, I'll list all the e(...TRUNCATED)	118, 54, 21	1	true	532	true	"I need to find a path from node 118 to node 21 in the given graph. Starting at 118, I'll follow the(...TRUNCATED)	\text{No path exists from 118 to 21.	1	false	1,144	true	"First, I'll parse the given string of edges and construct a graph representation. Each edge is sepa(...TRUNCATED)	118-21	1	false	2,778	true	"First, I need to analyze the given graph structure to identify the connections between nodes. The g(...TRUNCATED)	118,21	1	false	534	true	"First, I need to parse the given graph structure. The edges are separated by pipes (\|), so each edg(...TRUNCATED)	118,54,21,112,81,12,13,3,118,54,21	1	false	1,509	true	"First, I need to parse the given graph string to extract the nodes and their connected edges. The g(...TRUNCATED)	118,54,21	1	true	1,101	true	"First, I'll parse the given edge list and construct the graph using an adjacency list.\n\nNext, I'l(...TRUNCATED)	118, 54, 21	1	true	1,092	true	"First, I need to parse the given graph structure to understand the connections between nodes. The g(...TRUNCATED)	118,21	1	false	951	true	"To find the path from node 118 to node 21 in the given graph, I'll perform a breadth-first search ((...TRUNCATED)	118, 54, 21	1	true	643	true	"First, I need to parse the given graph string to extract the edges. The graph is structured with no(...TRUNCATED)	118,21	1	false	732	true	"I need to find a path from node 118 to node 21 in the given graph. The graph is provided as a serie(...TRUNCATED)	118 \rightarrow 54 \rightarrow 118 \rightarrow 21	1	false	137	true	"To find the path from node 118 to node 21 in the given graph, I'll start by identifying all the edg(...TRUNCATED)	118,21	2	false	546	true	"To find the path from node 118 to node 21 in the given graph, I'll start by examining the structure(...TRUNCATED)	118, 54, 21	1	true	402	true	"To solve the problem of finding a path from the source node 118 to the destination node 21 in the g(...TRUNCATED)	118, 21	1	false	892	true	"First, I need to parse the input string to extract the edges. The edges are given separated by the (...TRUNCATED)	118,21	1	false	1,231	true	"First, I need to understand the structure of the graph provided. It appears to be a list of edges w(...TRUNCATED)	118, 21	1	false	926	true	"First, I'll start from the source node, which is 118. I'll examine all the edges connected to 118 a(...TRUNCATED)	216	4	false	26,983	true	"To determine the path from node 118 to node 21 in the given graph, I start by examining the structu(...TRUNCATED)	118, 21	1	false	401	true	"I need to find a path from node 118 to node 21 in the given graph. I'll start at node 118 and follo(...TRUNCATED)	118, 54, 21	1	true	325	true	"First, I need to analyze the given graph structure. The graph is provided as a string of edges sepa(...TRUNCATED)	118,212,207,76,196,165,13,55,63,86,162	1	false	750	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	167,125,82	"First, I need to parse the given graph edges. Each edge is separated by the '\|' symbol, and each ed(...TRUNCATED)	"167, 128, 222, 119, 167, 53, 133, 167, 72, 289, 160, 65, 74, 167, 125, 3, 133, 153, 206, 167, 128, (...TRUNCATED)	1	false	1,379	true	"To find the path from node 167 to node 82 in the given graph, I'll start by identifying all the edg(...TRUNCATED)	167, 126, 128, 82	1	false	683	true	"First, I need to parse the given graph to identify the edges and their connections. The graph is re(...TRUNCATED)	167, 82	1	false	888	true	"First, I need to parse the given graph string. The graph is separated by pipes (\|), and each edge c(...TRUNCATED)	167,222,125,82	1	false	983	true	"First, I need to parse the given edge list to construct the graph structure. Each edge is separated(...TRUNCATED)	167,\ 82	1	false	512	true	"First, I need to parse the given graph structure. The edges are represented as strings separated by(...TRUNCATED)	\text{No path exists from 167 to 82	1	false	986	true	"To find the path from node 167 to node 82 in the given graph, I will perform a Breadth-First Search(...TRUNCATED)	null	0	false	32,769	false	"First, I need to parse the given graph string to identify the nodes and their connections.\n\nThe g(...TRUNCATED)	167,82	1	false	1,039	true	"To solve the problem of finding a path from the source node 167 to the destination node 82 in the g(...TRUNCATED)	null	0	false	32,768	false	"First, I need to understand the structure of the graph provided. It's a list of edges where each ed(...TRUNCATED)	167, 125, 82	1	true	1,204	true	"First, I need to analyze the given graph structure. The graph is represented as a list of edges whe(...TRUNCATED)	167,72,82	1	false	650	true	"First, I need to identify the nodes connected to the source node, which is 167. Looking at the prov(...TRUNCATED)	167, 82	1	false	183	true	"First, I'll analyze the graph provided. It's represented using the \"\|\" operator to separate edges(...TRUNCATED)	167,82	1	false	236	true	"First, I need to parse the given edge list to build a graph structure. The source node is 167, and (...TRUNCATED)	167,82	1	false	1,830	true	"To solve this problem, I need to find a path from the source node 167 to the destination node 82 in(...TRUNCATED)	167, 72, 82	1	false	1,132	true	"I need to find a path from node 167 to node 82 in the given graph. The graph is represented with ed(...TRUNCATED)	167,82	1	false	893	true	"To find the path from node 167 to node 82 in the given graph, I'll start by examining the edges con(...TRUNCATED)	167, 153, 82	1	false	508	true	"I need to find the shortest path from node 167 to node 82 in the given graph. I'll start by analyzi(...TRUNCATED)	167, 82	1	false	651	true	"To find the path from node 167 to node 82 in the given graph, I start by identifying all the edges (...TRUNCATED)	167, 126, 82	1	false	314	true	"To solve the problem of finding the path from node 167 to node 82 in the given graph, I need to ana(...TRUNCATED)	null	0	false	32,769	false	"I need to find a path from node 167 to node 82 using the given edges. I'll start at 167 and explore(...TRUNCATED)	167,72,82	1	false	2,083	true	"First, I need to parse the given graph structure. The graph is provided as a list of edges, where e(...TRUNCATED)	167,222,126,82	1	false	1,267	true	"To determine the path from node 167 to node 82 in the given graph, I will perform a depth-first sea(...TRUNCATED)	\text{No path exists from 167 to 82	1	false	1,612	true	"First, I'll parse the graph structure to understand the connections between nodes. The graph is pre(...TRUNCATED)	167,82	1	false	811	true	"To solve the problem, I'll start by analyzing the given graph structure. The graph is represented u(...TRUNCATED)	167,72,160,82	1	false	500	true	"To determine the path from node 167 to node 82 in the given graph, I'll start by analyzing the stru(...TRUNCATED)		2	false	1,348	true	"First, I need to understand the structure of the graph. It's described as a list of edges where eac(...TRUNCATED)	167,126,82	1	false	302	true	"Alright, so I have this problem where I need to find a path from the source node 167 to the destina(...TRUNCATED)	167, 125, 82	2	true	4,310	true	"First, I need to analyze the given graph structure. It is represented as a string with edges separa(...TRUNCATED)	167,82	1	false	760	true	"To find the path from node 167 to node 82 in the given graph, we start by examining the edges conne(...TRUNCATED)	167, 126, 82	1	false	325	true	"First, I need to parse the given graph structure. The graph is represented as a list of edges, each(...TRUNCATED)	167, 82, 153	1	false	1,297	true	"First, I need to understand the structure of the graph. It's presented as a series of edges separat(...TRUNCATED)	"167, 222, 119, 167, 53, 133, 167, 289, 126, 74, 167, 125, 3, 133, 167, 206, 6, 167, 128, 9, 167, 12(...TRUNCATED)	1	false	858	true	"First, I need to understand the structure of the graph provided. It seems to be a list of edges whe(...TRUNCATED)	167	1	false	423	true	"First, I need to parse the given graph structure. It's represented as a string where each edge is s(...TRUNCATED)	167,74,82	1	false	1,178	true	"First, I need to understand the structure of the graph provided. It appears to be a list of edges w(...TRUNCATED)	167,82	1	false	1,100	true	"First, I need to parse the given graph to understand its structure. The graph is represented using (...TRUNCATED)	167,\ 126,\ 74,\ 82	1	false	560	true	"First, I need to parse the given graph string to extract the edges and build an adjacency list repr(...TRUNCATED)	167,82,125	2	false	1,513	true	"To find the shortest path from node 167 to node 82 in the given graph, I start by identifying the e(...TRUNCATED)	\text{No path exists between 167 and 82	1	false	623	true	"To find the path from node 167 to node 82 in the given graph, we'll start by identifying the edges (...TRUNCATED)	\text{No valid path from 167 to 82	1	false	842	true	"First, I need to parse the given graph structure. The graph is represented using pipes (\|) to separ(...TRUNCATED)	167, 74, 119, 82	1	false	868	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	183,106,99	"To solve the problem, I need to parse the given graph structure and identify the path from the sour(...TRUNCATED)	183,106,142,106,121,167,183,99	1	false	1,208	true	"First, I need to parse the given edge list to understand the structure of the graph. The edges are (...TRUNCATED)	183, 121, 183, 167, 211, 183, 137, 197, 135, 121, 183, 99	1	false	600	true	"First, I need to parse the graph data provided. The edges are separated by '\|', and each edge conta(...TRUNCATED)	149	5	false	32,577	true	"To solve the problem, I need to parse the given graph structure and identify the path from the sour(...TRUNCATED)	183, 106, 106, 99	1	false	710	true	"I need to find a path from the source node 183 to the destination node 99 in the given graph. The g(...TRUNCATED)	183, 106, 99	1	true	404	true	"To determine the path from node 183 to node 99 in the given graph, I need to analyze the structure (...TRUNCATED)	\text{No path exists from 183 to 99	1	false	1,867	true	"First, I'll identify the source node, which is 183. I'll look through the edges to find all nodes c(...TRUNCATED)	183, 106, 99	1	true	864	true	"First, I'll analyze the input string to extract the source and destination nodes. The source node i(...TRUNCATED)	183, 106, 99	1	true	929	true	"First, I'll parse the input string to extract all the node numbers separated by pipes. This will gi(...TRUNCATED)	183,211,106,99	1	false	895	true	"First, I'll parse the given graph string to extract the edges and their corresponding source and de(...TRUNCATED)	183,106,99	1	true	1,044	true	"First, I need to parse the given graph structure. The graph is separated by vertical bars (\|), and (...TRUNCATED)	183,183,176,106,99	1	false	614	true	"First, I need to parse the given graph string into a structured format that includes both the edges(...TRUNCATED)	183, 106, 99	1	true	2,494	true	"I need to determine the path from node 183 to node 99 in the given graph structure.\n\nFirst, I'll (...TRUNCATED)	183,176,106,99	1	false	994	true	"First, I need to understand the structure of the graph provided. The edges are separated by the wor(...TRUNCATED)	183,106,99	1	true	1,138	true	"To find the path from node 183 to node 99, I'll use a depth-first search (DFS) algorithm. I'll star(...TRUNCATED)	183, 183,106, 106, 99	1	false	585	true	"First, I need to understand the structure of the graph provided. It consists of multiple pairs of n(...TRUNCATED)	183,183,183,183,99	1	false	397	true	"Alright, so I've got this problem here where I need to find a path from a source node to a destinat(...TRUNCATED)	183,106,99	1	true	3,866	true	"To determine the path from node 183 to node 99 in the given graph, I will follow these steps:\n\n1.(...TRUNCATED)	183,99	2	false	1,240	true	"To determine the path from the source node 183 to the destination node 99 in the given graph, I nee(...TRUNCATED)	183,106,106,99	1	false	1,266	true	"First, I need to parse the given graph structure. The graph is represented as a list of edge pairs,(...TRUNCATED)	183,106,99	1	true	970	true	"First, I need to parse the given graph. The graph is separated into edges by the character \"\|\", a(...TRUNCATED)	null	0	false	32,769	false	"First, I need to parse the given graph structure. The graph is represented with pipes (`\|`) separat(...TRUNCATED)	183,106,99	2	true	826	true	"First, I need to parse the given edge list and identify the source and destination nodes. The sourc(...TRUNCATED)	183, 167, 99	1	false	887	true	"To find the shortest path from node 183 to node 99 in the given graph, I will use Dijkstra's algori(...TRUNCATED)	211, 137, 196, 194, 142, 292, 183, 106, 99	1	false	3,400	true	"To solve the problem of finding a path from node 183 to node 99 in the given graph, I will follow t(...TRUNCATED)	183, 183, 106, 106, 99	1	false	1,012	true	"First, I'll start at node 183. I'll follow the edges provided to navigate through the graph step by(...TRUNCATED)	183, 183,106, 121,80, 106,99	1	false	335	true	"To solve the problem of finding a path from node 183 to node 99 in the given graph, I will follow t(...TRUNCATED)	183, 106, 99	2	true	919	true	"First, I'll parse the input string to extract all the edge pairs separated by \"\|\". This will give(...TRUNCATED)	183,176,197,194,99	1	false	996	true	"To solve the problem, I need to parse the given edge list and construct a graph structure. Each edg(...TRUNCATED)	183, 106, 99	1	true	858	true	"To find the path from node 183 to node 99 in the given graph, I need to analyze the structure of th(...TRUNCATED)	\text{No path exists from 183 to 99	1	false	974	true	"First, I need to parse the given graph string into an adjacency list structure. The graph is separa(...TRUNCATED)	183, 106, 99	1	true	1,930	true	"First, I need to understand the structure of the graph provided. It looks like the edges are separa(...TRUNCATED)	183, 106, 99	1	true	973	true	"First, I need to parse the given graph structure. The graph is provided as a string with edges sepa(...TRUNCATED)	183,106,99	1	true	622	true	"First, I need to parse the given edge-separated graph string. The edges are separated by pipes (\|),(...TRUNCATED)	183, 106, 121, 80, 99	1	false	3,383	true	"To solve this problem, I first need to parse the given graph structure. The graph is represented as(...TRUNCATED)	183, 106, 99	1	true	1,029	true	"To solve the problem, I first need to understand the structure of the given graph. The edges are se(...TRUNCATED)	\text{No path exists from 183 to 99	1	false	634	true	"To find the path from the source node 183 to the destination node 99 in the given graph, I will fol(...TRUNCATED)	183, 106, 99	2	true	1,284	true	"Alright, so I have this problem where I need to find a path from a source node to a destination nod(...TRUNCATED)	183, 99	1	false	5,828	true	"To solve the problem of finding a path from node 183 to node 99 in the given graph, I will follow t(...TRUNCATED)	183, 106, 106, 99	1	false	890	true	"First, I'll analyze the given graph edges, which are separated by the '\|' character. Each edge conn(...TRUNCATED)		2	false	563	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	234,123,127	"To determine the path from node 234 to node 127 in the given graph, I need to identify the sequence(...TRUNCATED)	234, 172, 123, 127	1	false	428	true	"To solve the problem, I need to parse the given graph string and identify the path from the source (...TRUNCATED)	234,53,6,123,127	1	false	1,794	true	"First, I need to parse the given graph representation to identify the nodes and their connections. (...TRUNCATED)	234,127	1	false	431	true	"I need to find a path from node 234 to node 127 in the given graph. I'll start by identifying the e(...TRUNCATED)	234, 123, 127	1	true	459	true	"To determine the path from node 234 to node 127, I will traverse the graph using a breadth-first se(...TRUNCATED)	234,53,172,170,123,50,127	1	false	1,011	true	"First, I need to identify the source node, which is given as 234. I'll look for the edges connected(...TRUNCATED)	234,172,127	1	false	372	true	"To solve the problem, I need to convert the given edge list into a graph structure and then perform(...TRUNCATED)	127, 50, 123, 0	1	false	4,095	true	"First, I need to parse the given graph structure. The graph is provided as a string with edges sepa(...TRUNCATED)	234,170,143,10,117,234,88,6,53,123,127	1	false	1,541	true	"To solve the problem of finding the shortest path from node 234 to node 127 in the given graph, I w(...TRUNCATED)	234, 127	1	false	1,415	true	"First, I need to parse the given graph string to extract the nodes and their connected edges. The n(...TRUNCATED)	234,53,40,170,143,10,117,127	1	false	805	true	"To find the shortest path from the source node 234 to the destination node 127 in the given graph, (...TRUNCATED)	234, 127	1	false	228	true	"Alright, let me try to figure out how to solve this problem. So, the question is about finding a pa(...TRUNCATED)	234, 123, 127	2	true	7,876	true	"First, I need to parse the given graph string to extract all edges. The graph is separated by a pip(...TRUNCATED)	null	0	false	25,281	true	"First, I need to parse the input string to extract the list of edges. The edges are separated by '\|(...TRUNCATED)	234, 172, 127	1	false	583	true	"I need to analyze the given graph structure and determine the path from node 234 to node 127. The g(...TRUNCATED)	\text{No path exists from node 234 to node 127.	1	false	958	true	"To find the path from node 234 to node 127 in the given graph, I'll start by identifying all edges (...TRUNCATED)	234, 50, 156, 127	1	false	736	true	"To determine the path from the source node 234 to the destination node 127 in the given graph, we'l(...TRUNCATED)	234, 127, 6, 123	1	false	1,568	true	"I need to determine the path from node 234 to node 127 in the given graph. \n\nFirst, I'll start at(...TRUNCATED)	234, 172, 53, 6, 123, 127	1	false	308	true	"To solve the problem, I need to parse the given graph data and determine the path from the source n(...TRUNCATED)	234, 172, 53, 127	1	false	483	true	"To find the path from node 234 to node 127, I will use a depth-first search algorithm starting from(...TRUNCATED)	234\ 172\ 170\ 143\ 10\ 127	1	false	1,629	true	"First, I need to parse the given graph structure. The graph is presented as a string with edges sep(...TRUNCATED)	234, 170, 127	1	false	885	true	"I need to find a path from node 234 to node 127 in the given graph.\n\nStarting from 234, I can dir(...TRUNCATED)	234,123,0,142,143,127	1	false	805	true	"To find the shortest path from node 234 to node 127 in the given graph, I will use Dijkstra's algor(...TRUNCATED)	234, 172, 127	1	false	616	true	"First, I need to parse the given graph data and convert it into a format that makes it easy to trav(...TRUNCATED)	234, 53, 123, 127	1	false	2,049	true	"First, I need to parse the given graph structure. The graph is provided in a specific format where (...TRUNCATED)	null	0	false	31,042	true	"To determine the path from node 234 to node 127 in the given graph, I first need to parse the edge (...TRUNCATED)	234, 123, 127	1	true	1,796	true	"First, I'll parse the graph structure by analyzing the edges. Each node is separated by a pipe, and(...TRUNCATED)	234, 127	1	false	1,090	true	"First, I'll parse the given graph data into a structured format where each edge is a comma-separate(...TRUNCATED)	null	0	false	17,390	true	"To determine the path from node 234 to node 127 in the given graph, we can apply a breadth-first se(...TRUNCATED)	234, 170, 127	1	false	579	true	"First, I need to understand the structure of the graph provided. It uses pipes (\|) to separate edge(...TRUNCATED)	234, 127	1	false	430	true	"I need to find the path from node 234 to node 127 in the given graph. Starting at 234, I'll follow (...TRUNCATED)	234, 172, 170, 143, 10, 6, 53, 127	1	false	614	true	"I need to find a path from node 234 to node 127 in the given graph. The graph is represented using (...TRUNCATED)	234, 53, 172, 127	1	false	825	true	"To determine the path from node 234 to node 127 in the given graph, we'll use a depth-first search (...TRUNCATED)	234, 172, 127	1	false	305	true	"First, I need to parse the given graph string and extract the edges. Each edge is separated by a pi(...TRUNCATED)	234, 53, 172, 123, 127	1	false	1,059	true	"First, I need to identify the source node, which is 234. From the given graph, the edges connected (...TRUNCATED)	234-172-127	1	false	609	true	"To determine the path from the source node 234 to the destination node 127 in the given graph, I ne(...TRUNCATED)	234,123,127	1	true	708	true	"I need to find a path from the source node 234 to the destination node 127 in the given graph. The (...TRUNCATED)	234,53,172,127	1	false	551	true	"To solve the problem of finding a path from the source node 234 to the destination node 127 in the (...TRUNCATED)	3	2	false	24,833	true	"First, I need to parse the given edge list to construct the graph. Each edge is separated by a pipe(...TRUNCATED)	234, 53, 123	1	false	1,379	true	"First, I need to parse the given graph string to extract the edges and construct an adjacency list (...TRUNCATED)	234,123,127	1	true	1,830	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	264,258,12	"To solve the problem of finding a path from the source node 264 to the destination node 12 in the g(...TRUNCATED)	264,108,270,12	2	false	1,778	true	"To solve the problem of finding a path from the source node 264 to the destination node 12 in the g(...TRUNCATED)	"264, 264, 108, 270, 264, 108, 92, 64, 264, 162, 264, 171, 140, 226, 171, 215, 264, 92, 264, 140, 26(...TRUNCATED)	1	false	1,201	true	"First, I need to interpret the input string to extract the list of edges. The string is provided as(...TRUNCATED)		2	false	703	true	"To solve this problem, I need to find a path from the source node 264 to the destination node 12 in(...TRUNCATED)	264, 108, 270, 92, 64, 162, 171, 140, 226, 184, 258, 12	1	false	796	true	"To solve this problem, I need to find a path from the source node 264 to the destination node 12 in(...TRUNCATED)	264, 184, 201, 12	1	false	674	true	"To determine the path from the source node 264 to the destination node 12 in the given graph, we ne(...TRUNCATED)	264, 184, 12	1	false	787	true	"To find the path from node 264 to node 12 in the given graph, I need to traverse through the connec(...TRUNCATED)	10	3	false	32,769	false	"First, I need to understand the structure of the graph provided. It seems like the edges are repres(...TRUNCATED)	264, 108, 162, 12	1	false	654	true	"First, I need to understand the structure of the graph provided. The edges are separated by \"\|\", (...TRUNCATED)	264, 12	1	false	754	true	"First, I need to understand the structure of the graph provided. The edges are separated by pipes, (...TRUNCATED)	264,184,249,12	1	false	286	true	"To solve this problem, I need to determine a path from the source node 264 to the destination node (...TRUNCATED)	264, 12	1	false	721	true	"To find the path from node 264 to node 12 in the given graph, I'll start at node 264 and explore it(...TRUNCATED)	null	0	false	32,049	true	"To solve the problem, I need to determine the path from the source node 264 to the destination node(...TRUNCATED)	"264, 184, 274, 258, 264, 108, 92, 64, 264, 162, 264, 140, 226, 270, 264, 171, 264, 140, 226, 274, 2(...TRUNCATED)	1	false	1,136	true	"First, I'll parse the given graph structure. The graph is a list of nodes separated by pipes, where(...TRUNCATED)	264,258,108,270,12	1	false	664	true	"First, I need to understand the structure of the graph provided. The edges are separated by '\|', an(...TRUNCATED)	"264,264,108,270,264,108,92,64,264,162,264,171,140,226,171,215,264,92,264,140,264,86,86,201,184,249,(...TRUNCATED)	1	false	1,055	true	"To find the path from node 264 to node 12, I'll analyze the given graph structure. The graph is pre(...TRUNCATED)	"264,\\ 264,\\ 258,\\ 264,\\ 108,\\ 184,\\ 249,\\ 162,\\ 274,\\ 86,\\ 201,\\ 264,\\ 140,\\ 171,\\ 21(...TRUNCATED)	1	false	796	true	"First, I need to parse the given graph data. The graph is provided as a series of edges separated b(...TRUNCATED)	264, 264, 184, 264, 258, 108, 270, 12	1	false	792	true	"To determine the path from the source node 264 to the destination node 12 in the given graph, I wil(...TRUNCATED)	264, 162, 171, 12	1	false	673	true	"First, I need to parse the given graph structure. The graph is represented as a series of edges sep(...TRUNCATED)	264,108,12	1	false	451	true	"I need to determine the path from node 264 to node 12 using the provided edge list. Starting at nod(...TRUNCATED)	264, 108, 184, 249, 12	1	false	213	true	"To find the path from node 264 to node 12 in the given graph, I need to examine each edge and deter(...TRUNCATED)	264,\ 270,\ 12	1	false	434	true	"First, I need to determine the connections between the nodes based on the given path. The source no(...TRUNCATED)	264,\,184,\,201,\,274,\,12	1	false	387	true	"To find the path from node 264 to node 12, I will traverse the graph using a depth-first search (DF(...TRUNCATED)	264, 258, 108, 270, 12	1	false	390	true	"First, I need to analyze the given graph structure. The graph is presented in a nested format, whic(...TRUNCATED)	264,184,108,270,92,64,162,171,140,226,171,215,92,140,86,201,184,249,12	1	false	710	true	"To find the path from node 264 to node 12, I will analyze the given graph structure.\n\nThe graph i(...TRUNCATED)	264, 12	1	false	763	true	"First, I need to identify the source node, which is 264. From the given graph, the edges connected (...TRUNCATED)	264-171-140-226-274-12	1	false	664	true	"To solve the problem, I need to analyze the given graph structure and determine the path from the s(...TRUNCATED)	264, 108, 226, 12	2	false	1,226	true	"I need to determine a path from node 264 to node 12 in the given graph. The graph is structured wit(...TRUNCATED)	null	0	false	25,035	true	"First, I need to understand the structure of the graph provided. The edges are separated by the cha(...TRUNCATED)	264,12	1	false	681	true	"To solve the problem of finding a path from node 264 to node 12 in the given graph, I need to analy(...TRUNCATED)	264, 258, 108, 270, 140, 226, 171, 184, 12	1	false	628	true	"First, I need to understand the structure of the graph provided. It's a list of edges separated by (...TRUNCATED)	264,258,108,270,12	1	false	425	true	"First, I need to understand the input structure. The graph is provided in a specific format where e(...TRUNCATED)	264, 258, 264, 108, 92, 264, 140, 184, 258, 12	1	false	522	true	"First, I need to analyze the given graph structure. The graph is represented by a series of edges s(...TRUNCATED)	264, 12	1	false	945	true	"First, I need to identify the source node, which is 264. From the given list, I'll look for any ent(...TRUNCATED)	264, 258, 184, 201, 12	1	false	460	true	"I need to determine the path from node 264 to node 12 in the given graph structure. The graph is re(...TRUNCATED)	"264, 264,184, 264,258, 108,270, 264,108, 92,64, 264,162, 264,171, 140,226, 171,215, 264,92, 264,140(...TRUNCATED)	1	false	999	true	"First, I need to parse the given graph structure. The edges are separated by the '\|' character, so (...TRUNCATED)	264,184,249,12	1	false	665	true	"First, I need to parse the given graph representation. The graph is a list of edges separated by '\|(...TRUNCATED)	"264,264,184,264,258,108,270,264,108,92,64,264,162,264,171,140,226,171,215,264,92,264,140,264,86,86,(...TRUNCATED)	1	false	982	true	"To find the path from node 264 to node 12 in the given graph, I'll start by examining the structure(...TRUNCATED)	264,12	1	false	32,768	false	"First, I need to parse the given graph structure. The graph is represented as a series of edges sep(...TRUNCATED)	264,258,108,270,264,171,264,108,92,64,184,249,12	1	false	1,097	true	"First, I need to parse the given graph representation to identify the structure. The graph is prese(...TRUNCATED)	264, 258, 270, 12	1	false	694	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	257,142,274	"I need to determine the path from node 257 to node 274 in the given graph. The graph is defined by (...TRUNCATED)	257, 142, 274	1	true	916	true	"To find the path from node 257 to node 274 in the given graph, we can use a depth-first search (DFS(...TRUNCATED)	257, 88, 12, 257, 78, 237, 142, 257, 0, 257, 32, 228, 0, 237, 142, 274	1	false	686	true	"I need to find the path from node 257 to node 274 in the given graph. The graph is represented as a(...TRUNCATED)	\text{No Path exists from node 257 to node 274	1	false	793	true	"First, I need to understand the input format and the graph structure. The graph is provided in a sp(...TRUNCATED)	257, 138, 228, 142, 274	1	false	1,496	true	"First, I need to identify the source node, which is 257. Then, I'll parse the given graph string to(...TRUNCATED)	257,142,274	1	true	1,589	true	"First, I need to understand the structure of the graph provided. The edges are separated by the '\|'(...TRUNCATED)	257, 142, 274	1	true	392	true	"First, I'll interpret the graph structure from the given string. The graph is represented by a seri(...TRUNCATED)	257, 274	1	false	353	true	"First, I need to parse the given edge list to construct the graph. The edge list is provided in a f(...TRUNCATED)		1	false	32,769	false	"Alright, so I've got this problem here where I need to find a path from a source node to a destinat(...TRUNCATED)	257,142,257,0,88,257,78,257,293,78,51,138,293,30,257,138,32,228,0,237,142,274,257,88,257,164	1	false	3,940	true	"To determine the path from node 257 to node 274 in the given graph, I will analyze the provided edg(...TRUNCATED)	257, 142, 257, 138, 288, 0, 237, 164, 274	1	false	913	true	"I need to find a path from node 257 to node 274 in the given graph. To do this, I'll start by ident(...TRUNCATED)	null	0	false	27,954	true	"I need to find the path from the source node 257 to the destination node 274 in the given graph.\n\(...TRUNCATED)	257, 142, 274	1	true	303	true	"First, I need to understand the structure of the graph. It seems to be represented as a list of edg(...TRUNCATED)	257,\,274	1	false	711	true	"First, I need to understand the graph structure provided. It seems like the graph is represented us(...TRUNCATED)	257, 142, 274	1	true	400	true	"First, I need to identify the source node, which is 257. Then, I'll examine the edges starting from(...TRUNCATED)	257, 32, 142, 0, 78, 293, 51, 138, 288, 30, 138, 228, 88, 164, 164, 274	1	false	569	true	"To find the shortest path from node 257 to node 274 in the given graph, I will apply the Breadth-Fi(...TRUNCATED)	257 \rightarrow 88 \rightarrow 237 \rightarrow 274	1	false	1,820	true	"I need to determine the path from node 257 to node 274 using the given graph structure. The graph i(...TRUNCATED)	257, 32, 142, 0, 88, 12, 293, 78, 288, 138, 274	1	false	985	true	"I need to determine the path from node 257 to node 274 using the given graph. The graph is structur(...TRUNCATED)	257, 142, 274	1	true	257	true	"I need to determine the path from the source node 257 to the destination node 274 using the given g(...TRUNCATED)	257,142,0,88,12,258,274	1	false	822	true	"First, I need to parse the given graph representation. It's a string of edges separated by '\|', whi(...TRUNCATED)	257, 142, 257, 274	1	false	569	true	"To determine the path from the source node 257 to the destination node 274 in the given graph, I ne(...TRUNCATED)	257, 142, 274	1	true	539	true	"First, I'll analyze the given graph structure to identify the connections between nodes. The nodes (...TRUNCATED)	257, 258, 274	1	false	335	true	"To find the path from the source node 257 to the destination node 274 in the given graph, we need t(...TRUNCATED)	257, 142, 274	1	true	230	true	"Alright, let's try to figure out the path from node 257 to node 274 in this graph. The graph is rep(...TRUNCATED)	257, 138, 274	1	false	414	true	"To determine the path from node 257 to node 274 in the given graph, I will analyze the edges and fo(...TRUNCATED)	257, 142, 274	1	true	301	true	"To determine the path from the source node 257 to the destination node 274 in the given graph, I wi(...TRUNCATED)	257, 138, 274	1	false	761	true	"First, I need to parse the given graph data. It's presented as a series of edges separated by pipes(...TRUNCATED)	257,142,274	1	true	734	true	"To solve the problem of finding the path from the source node 257 to the destination node 274 in th(...TRUNCATED)	257, 142, 88, 164, 228, 274	1	false	541	true	"First, I'll start by identifying the source node, which is 257. From the given path, I notice that (...TRUNCATED)	257, 274	1	false	608	true	"First, I need to parse the given graph data. The graph is provided as a string where each edge is s(...TRUNCATED)	null	0	false	32,769	false	"I need to find a path from node 257 to node 274 in the given graph. The graph is represented using (...TRUNCATED)	257,274	1	false	356	true	"To find the path from the source node 257 to the destination node 274 in the given graph, I need to(...TRUNCATED)	257, 274	1	false	406	true	"First, I need to determine the source and destination nodes based on the given graph structure. The(...TRUNCATED)		2	false	754	true	"To solve the problem, I need to determine the path from node 257 to node 274 using a graph where ea(...TRUNCATED)	257-274	1	false	355	true	"To find the path from node 257 to node 274 in the given graph, I need to analyze the structure of t(...TRUNCATED)	257,142,274	1	true	315	true	"First, I need to interpret the given graph structure. The graph is represented as a list of edges s(...TRUNCATED)	257, 274	1	false	858	true	"First, I need to identify the source node, which is given as 257. Next, I'll examine the graph stru(...TRUNCATED)	"257, 142, 257, 0, 88, 257, 78, 257, 138, 257, 293, 257, 257, 228, 257, 228, 257, 88, 257, 138, 257,(...TRUNCATED)	1	false	1,330	true	"First, I need to understand the structure of the given graph. It appears to be a list of edges wher(...TRUNCATED)	257,142,274	2	true	1,505	true	"First, I need to parse the input string to extract the source and destination nodes. The source nod(...TRUNCATED)	257,142,257,78,257,138,288,0,237,257,164,274	1	false	334	true	"First, I need to understand the graph structure provided. The graph is represented as a series of e(...TRUNCATED)	257, 274	1	false	411	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	174,167,38	"I need to determine the path from node 174 to node 38 using the given graph structure.\n\nFirst, I'(...TRUNCATED)	null	0	false	32,769	false	"First, I need to parse the graph data provided. The graph is represented by a list of edges separat(...TRUNCATED)	174,38	1	false	1,157	true	"To solve this problem, I need to find a path from the source node 174 to the destination node 38 in(...TRUNCATED)	null	0	false	32,766	true	"To find the path from node 174 to node 38 in the given graph, I will use a depth-first search (DFS)(...TRUNCATED)	null	0	false	32,769	false	"To find the path from node 174 to node 38, I'll use the breadth-first search (BFS) algorithm starti(...TRUNCATED)	174, 20, 38	1	false	3,428	true	"First, I need to parse the given graph string to extract the edges and create an adjacency list rep(...TRUNCATED)	174, 38	1	false	2,565	true	"To solve the problem of finding a path from node 174 to node 38 in the given graph, I need to analy(...TRUNCATED)	null	0	false	32,769	false	"First, I need to interpret the given graph structure. The graph is represented in a format where ea(...TRUNCATED)	\text{No path exists from 174 to 38	1	false	1,895	true	"First, I'll parse the given graph structure. It consists of nodes separated by pipes (\|), indicatin(...TRUNCATED)	174,20,38	1	false	567	true	"To determine the path from node 174 to node 38 in the given graph, I'll follow these steps:\n\n1. *(...TRUNCATED)	174,20,179,262,224,38	1	false	704	true	"To find the path from node 174 to node 38 in the given graph, I will start by examining the structu(...TRUNCATED)	174,20,233,81,192,224,38	1	false	874	true	"To find the shortest path from node 174 to node 38 in the given graph, I will perform a breadth-fir(...TRUNCATED)	174, 38	1	false	295	true	"I need to find a path from the source node 174 to the destination node 38 in the given graph. The g(...TRUNCATED)	174,20,179,224,38	1	false	1,150	true	"I need to find a path from the source node 174 to the destination node 38 in the given graph. The g(...TRUNCATED)	174, 20, 179, 38	1	false	651	true	"I need to find a path from the source node 174 to the destination node 38 in the given graph.\n\nFi(...TRUNCATED)	\text{No path exists from 174 to 38	1	false	529	true	"Alright, so I'm trying to figure out how to convert this string of edges into a path from node 174 (...TRUNCATED)	null	0	false	32,768	false	"I need to find a path from node 174 to node 38 in the given graph. Starting from node 174, I'll exp(...TRUNCATED)	174,\ 20,\ 38	1	false	325	true	"First, I'll parse the graph provided. The edges are separated by pipes (\|), and each edge connects (...TRUNCATED)	174, 20, 179, 262, 38	1	false	514	true	"To solve the problem, I first need to parse the given graph structure. The graph is represented by (...TRUNCATED)	null	0	false	13,245	true	"First, I need to understand the structure of the graph. It is provided as a series of edges separat(...TRUNCATED)	174, 20, 38	1	false	1,597	true	"To solve the problem of finding a path from node 174 to node 38 in the given graph, I'll start by u(...TRUNCATED)	174,38	1	false	3,076	true	"First, I'll interpret the given graph structure. The graph is represented with edges separated by '(...TRUNCATED)	"174, 20, 192, 174, 262, 124, 251, 174, 166, 273, 174, 81, 192, 166, 273, 174, 53, 194, 166, 273, 17(...TRUNCATED)	1	false	1,461	true	"First, I need to parse the given edge-separated graph and identify the nodes and their connections.(...TRUNCATED)	null	0	false	32,769	false	"First, I need to interpret the given graph structure. The graph is provided as a series of edges se(...TRUNCATED)	"174,20,233,231,81,174,262,224,174,166,273,174,53,194,166,273,174,124,251,174,53,166,273,174,124,20,(...TRUNCATED)	1	false	1,001	true	"First, I need to analyze the given graph structure. The graph is separated by pipes, so each edge i(...TRUNCATED)	174, 231, 224, 20, 179, 38	1	false	1,244	true	"First, I need to parse the input string into a list of edges. Each edge is separated by a pipe char(...TRUNCATED)	174,38	1	false	800	true	"First, I need to understand the graph structure provided. It seems to be a list of nodes separated (...TRUNCATED)	"174, 20, 233, 231, 81, 192, 20, 174, 53, 166, 273, 174, 166, 20, 179, 262, 224, 174, 167, 174, 81, (...TRUNCATED)	1	false	1,568	true	"To find the path from node 174 to node 38 in the given graph, I'll start by identifying the connect(...TRUNCATED)	174 \rightarrow 38	2	false	6,054	true	"First, I need to parse the given graph structure. The graph is represented as a series of edge tags(...TRUNCATED)	174, 20, 38	1	false	2,612	true	"First, I need to analyze the given graph structure. The graph is represented with edges separated b(...TRUNCATED)	174, 20, 179, 38	1	false	1,173	true	"First, I need to parse the given graph data. It seems to be a list of edges where each edge is sepa(...TRUNCATED)	174, 20, 233, 231, 81, 192, 174, 233, 174, 166, 53, 194, 166, 273, 174, 53, 166, 273, 174, 81	1	false	1,170	true	"First, I need to parse the given graph structure. The graph is defined using a string where each pa(...TRUNCATED)	233, 231, 81, 192, 174, 20	2	false	13,902	true	"First, I need to understand the structure of the graph. It is represented as a string with edges se(...TRUNCATED)	\text{No path exists from 174 to 38	1	false	1,267	true	"First, I'll parse the given graph structure. The graph is represented as a series of edges separate(...TRUNCATED)	null	0	false	32,769	false	"I need to find a path from the source node 174 to the destination node 38 in the given graph.\n\nFi(...TRUNCATED)	174-192-224	1	false	397	true	"To solve this problem, I need to find a path from the source node 174 to the destination node 38 in(...TRUNCATED)	174, 20, 179, 124, 251, 124, 251, 174, 166, 81, 174, 167, 174, 166, 166, 81	1	false	1,412	true	"To find the path from node 174 to node 38, I need to traverse the graph using either Breadth-First (...TRUNCATED)	174, 20, 38	1	false	222	true	"First, I need to parse the given graph structure. The edges are separated by '\|', and each edge con(...TRUNCATED)	174,20,233,231,81,192,262,224,38	1	false	1,512	true	"I need to find a path from node 174 to node 38 in the given graph. The graph is represented as a se(...TRUNCATED)	80000	1	false	32,769	false	"First, I need to parse the graph string to extract the source and destination nodes. The source nod(...TRUNCATED)	174, 20, 38	1	false	357	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	249,160,148	"First, I'll parse the given edge-separated string to extract the nodes and edges. The string is spl(...TRUNCATED)	249, 148	1	false	744	true	"To solve the problem of finding the path from node 249 to node 148 in the given graph, I'll follow (...TRUNCATED)	249,148	2	false	716	true	"First, I need to parse the given graph string. The graph is separated by edges that start with a nu(...TRUNCATED)	249,45,203,148	1	false	705	true	"First, I'll start from the source node, which is 249, and examine its neighbors. The neighbors of 2(...TRUNCATED)	249,240,249,45,45,203,160,148	1	false	692	true	"First, I'll parse the given graph string to extract the source and destination nodes. The source no(...TRUNCATED)	249,45,133,97,115,160,148	1	false	625	true	"First, I'll parse the given graph string to extract the nodes and their connected edges. The graph (...TRUNCATED)		2	false	934	true	"First, I'll start with the source node, which is 249.\n\nNext, I'll look for an edge that starts wi(...TRUNCATED)	249,\,45,\,105	1	false	287	true	"First, I need to parse the given graph data to understand the structure. The graph is represented b(...TRUNCATED)	249, 240, 45, 203, 160, 148	1	false	616	true	"To find the path from node 249 to node 148 in the given graph, I need to analyze the structure of t(...TRUNCATED)	249,148	1	false	848	true	"I need to find a path from node 249 to node 148 in the given graph. The graph is represented with e(...TRUNCATED)	249, 240, 148	1	false	318	true	"To solve the problem of finding the path from the source node 249 to the destination node 148 in th(...TRUNCATED)	249, 148	1	false	862	true	"To determine the path from node 249 to node 148 in the given graph, I'll analyze the structure of t(...TRUNCATED)	249, 240, 295, 148	1	false	650	true	"To determine the path from node 249 to node 148 in the given graph, I will follow these steps:\n\n1(...TRUNCATED)	249, 240, 148	1	false	667	true	"To find the path from node 249 to node 148 in the given graph, I need to follow the edges step by s(...TRUNCATED)	249, 240, 45, 133, 283, 97, 115, 155, 133, 46, 191, 201, 148	1	false	761	true	"To find the path from node 249 to node 148 in the given graph, I'll perform a Breadth-First Search (...TRUNCATED)	249, 160, 148, 55, 105, 148	1	false	447	true	"To find the path from the source node 249 to the destination node 148 in the given graph, I'll star(...TRUNCATED)	249,\ 45,\ 133,\ 283,\ 97,\ 160,\ 148	1	false	715	true	"First, I need to parse the given edge list and identify the nodes connected by each edge. The sourc(...TRUNCATED)	249,240,249,45,249,133,249,283,249,97,160,148,249,148	1	false	594	true	"First, I need to parse the given graph string to extract the nodes and their adjacent edges. The gr(...TRUNCATED)	249,160,148	1	true	864	true	"Alright, let's try to figure out how to solve this problem. So, we have a graph represented in a sp(...TRUNCATED)	249, 160, 148	2	true	3,563	true	"To find the path from the source node 249 to the destination node 148 in the given graph, I need to(...TRUNCATED)	249, 45, 133, 283, 97, 148	1	false	292	true	"First, I need to parse the given graph string into a structured format. The edges are separated by (...TRUNCATED)	249, 240, 148	1	false	684	true	"To solve the problem, I start by understanding the structure of the input graph. It is presented as(...TRUNCATED)	249,160,148	1	true	1,261	true	"I need to find a path from node 249 to node 148 in the given graph. The graph is represented using (...TRUNCATED)	148-160	1	false	1,844	true	"I need to find the shortest path from node 249 to node 148 in the given graph. The graph is represe(...TRUNCATED)	249, 148	1	false	1,254	true	"First, I need to parse the given graph string and split it into edges based on the '\|' character. T(...TRUNCATED)	249,160,148	1	true	1,052	true	"To find the path from the source node 249 to the destination node 148 in the given graph, I need to(...TRUNCATED)	\text{No path exists from 249 to 148	1	false	855	true	"To solve the problem of finding a path from node 249 to node 148 in the given graph, I will use Bre(...TRUNCATED)	249, 148	1	false	1,533	true	"First, I need to identify the source node, which is 249. Next, I'll examine the edges to find the p(...TRUNCATED)	249, 45	1	false	458	true	"First, I'll identify the source node, which is 249.\n\nNext, I'll parse the graph to extract all th(...TRUNCATED)	249, 240, 148	2	false	685	true	"To determine the path from the source node 249 to the destination node 148 in the given graph, I ne(...TRUNCATED)	249,160,148	1	true	643	true	"I need to determine the path from the source node 249 to the destination node 148 in the given grap(...TRUNCATED)	249, 148	1	false	246	true	"To find the path from node 249 to node 148, I'll start at the source node 249 and explore all possi(...TRUNCATED)	249,\,45,\,148	1	false	411	true	"First, I need to understand the input format of the graph. The graph is given as a string with edge(...TRUNCATED)	249,148	1	false	1,459	true	"First, I need to parse the input string into individual edges. The edges are separated by the \"\|\"(...TRUNCATED)	249, 148	1	false	435	true	"To find the path from the source node 249 to the destination node 148 in the given graph, I need to(...TRUNCATED)	249,45,133,283,97,201,148	1	false	1,477	true	"First, I need to identify the source node, which is 249. Then, I'll analyze the graph structure to (...TRUNCATED)	null	0	false	20,299	true	"First, I need to understand the input format of the graph. It consists of edges separated by the pi(...TRUNCATED)	249,148	1	false	805	true	"I need to find the path from node 249 to node 148 in the given graph. The graph is represented by a(...TRUNCATED)	249,160,148	1	true	923	true	"I need to determine a path from node 249 to node 148 in the given graph. The graph is represented b(...TRUNCATED)	249,191,148	1	false	943	true	"To find the path from node 249 to node 148 in the given graph, I start by understanding the structu(...TRUNCATED)	249,\ 45,\ 105,\ 203,\ 191,\ 97,\ 160,\ 148	1	false	737	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	213,229,140	"First, I need to identify the source and destination nodes in the given graph. The source node is s(...TRUNCATED)	213,\ 229,\ 140	1	false	638	true	"To find the shortest path from node 213 to node 140 in the given graph, I will perform a breadth-fi(...TRUNCATED)	213, 140	1	false	1,247	true	"To solve this problem, I need to determine a path from node 213 to node 140 in a graph where the ed(...TRUNCATED)	213,115,202,213,229,128,219,213,237,128,219,140,210	1	false	1,328	true	"First, I need to parse the given graph structure to understand the relationships between the nodes.(...TRUNCATED)	213,49,140	1	false	1,168	true	"Alright, so I have this problem where I need to find a path from the source node, which is 213, to (...TRUNCATED)	213,229,140	2	true	4,273	true	"First, I need to understand the structure of the graph provided. The graph is represented with edge(...TRUNCATED)	213,\ 49,\ 280,\ 140	1	false	1,212	true	"First, I need to parse the given graph data. Each edge is represented as a pair of numbers separate(...TRUNCATED)	140	1	false	1,330	true	"First, I need to parse the given graph data. The graph is provided as a series of edges separated b(...TRUNCATED)	213, 87, 219, 140	1	false	1,364	true	"First, I need to identify the source node, which is 213, and the destination node, which is 140.\n\(...TRUNCATED)	213,140	1	false	613	true	"First, I need to parse the input string to extract the individual edges. Each edge is separated by (...TRUNCATED)	213,49,140	1	false	860	true	"First, I need to understand the structure of the graph provided. It consists of multiple edges sepa(...TRUNCATED)	213,140	1	false	546	true	"To find the path from node 213 to node 140 in the given graph, I need to analyze the structure prov(...TRUNCATED)		1	false	1,140	true	"To find the path from node 213 to node 140 in the given graph, I will use a depth-first search (DFS(...TRUNCATED)	213, 140	1	false	260	true	"First, I need to understand the input format of the graph. The edges are separated by pipes (\|), an(...TRUNCATED)	213, 212, 229, 140	1	false	672	true	"First, I need to parse the given graph. The graph is represented as a sequence of edges separated b(...TRUNCATED)	\text{No path exists	1	false	860	true	"First, I need to analyze the structure of the graph provided. It appears to be a list of edges sepa(...TRUNCATED)	213, 280, 218, 140	1	false	507	true	"To solve the problem of finding the shortest path from the source node 213 to the destination node (...TRUNCATED)	213, 80, 21, 3, 140	1	false	829	true	"First, I need to understand the structure of the graph provided. The graph is represented using pip(...TRUNCATED)	213, 140	1	false	898	true	"First, I need to interpret the graph representation provided. It consists of edges separated by \"\|(...TRUNCATED)		2	false	915	true	"Okay, so I've got this problem here where I need to find a path from the source node 213 to the des(...TRUNCATED)	null	0	false	32,769	false	"First, I need to parse the given graph structure. Each edge is separated by a pipe \"\|\", and the n(...TRUNCATED)	213, 140	1	false	486	true	"First, I need to parse the given graph structure. The graph is represented as a series of edges sep(...TRUNCATED)	213,87,140	1	false	786	true	"First, I need to identify the source node, which is 213, and the destination node, which is 140.\n\(...TRUNCATED)	213,128,216,140	1	false	521	true	"First, I need to understand the structure of the given graph. The edges are separated by '\|', and e(...TRUNCATED)	213, 280, 140	1	false	622	true	"To determine the path from the source node 213 to the destination node 140, I will analyze the prov(...TRUNCATED)	\text{No path from 213 to 140 exists	1	false	3,266	true	"First, I need to understand the structure of the graph provided. It appears to be a list of edges w(...TRUNCATED)	"213,53,280,280,49,49,263,263,213,213,115,115,237,237,178,178,213,213,49,49,212,212,102,102,128,128,(...TRUNCATED)	1	false	1,843	true	"First, I need to interpret the given graph structure. The edges are separated by pipes, so each edg(...TRUNCATED)	null	0	false	32,769	false	"First, I need to parse the given graph data, which consists of pairs of integers separated by pipes(...TRUNCATED)	213,49,53,128,115,213,229,140	1	false	757	true	"First, I need to parse the given edge string to extract the nodes and edges. The string is separate(...TRUNCATED)	213,140	1	false	1,399	true	"Alright, let's try to figure out the path from node 213 to node 140 in the given graph. The graph i(...TRUNCATED)	140	71	false	32,769	false	"To solve this problem, I need to find the shortest path from node 213 to node 140 in a graph repres(...TRUNCATED)	null	0	false	32,769	false	"To find the path from node 213 to node 140 in the given graph, we can perform a depth-first search (...TRUNCATED)	"213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213, 213,(...TRUNCATED)	1	false	17,730	true	"I need to find a path from node 213 to node 140 in the given graph structure. The edges are defined(...TRUNCATED)	213,115,57,213,213,115,213,213,115,213,237,178,213,115,237,178,213,212,213,237,229,140	1	false	1,383	true	"To determine the path from node 213 to node 140 in the given graph, I'll follow these steps:\n\n1. (...TRUNCATED)	213, 53, 280, 128, 140	1	false	883	true	"First, I need to identify the source and destination nodes. The source node is 213, and the destina(...TRUNCATED)	213, 87, 115, 57, 140	1	false	730	true	"I need to find a path from the source node 213 to the destination node 140 in the given graph. I'll(...TRUNCATED)	213,53,280,49,263,115,253,128,216,87,219,229,140	1	false	3,659	true	"To find the shortest path from node 213 to node 140 in the given graph, I will use Dijkstra's algor(...TRUNCATED)	128	3	false	31,799	true	"To find the path from node 213 to node 140 in the given graph, I will follow these steps:\n\n1. **I(...TRUNCATED)	null	0	false	20,912	true	"First, I need to parse the given edge representation to construct the graph structure. The edges ar(...TRUNCATED)	213, 140	1	false	942	true	"Alright, so I have this problem where I'm given a graph represented as a string with edges separate(...TRUNCATED)	213,140	1	false	1,636	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of '\|' separated edges, output a(...TRUNCATED)	108,158,231	"To determine the path from node 108 to node 231 in the given graph, I need to analyze the edges and(...TRUNCATED)	108, 231	1	false	172	true	"I need to find a path from node 108 to node 231 in the given graph. \n\nStarting from node 108, I c(...TRUNCATED)	108, 288, 27, 153, 231	1	false	348	true	"To solve the problem of finding a path from node 108 to node 231 in the given graph, I need to anal(...TRUNCATED)	\text{No path exists from node 108 to node 231	1	false	1,123	true	"To find the path from node 108 to node 231 in the given graph, I first identify all edges connected(...TRUNCATED)	108, 76, 193, 207, 158, 231	1	false	644	true	"First, I need to parse the given edge list and construct an adjacency list representation of the gr(...TRUNCATED)	108,217,153,158,76,231	1	false	3,483	true	"To find the path from node 108 to node 231 in the given graph, I'll start by identifying the nodes (...TRUNCATED)	108,231	1	false	1,133	true	"Okay, so I've got this problem where I need to find a path from node 108 to node 231 in a graph tha(...TRUNCATED)	108,212,52,158,231	1	false	2,794	true	"First, I need to parse the given edge list to extract the graph structure. The edges are separated (...TRUNCATED)	108,158,231	1	true	1,309	true	"Alright, so I've got this graph that's represented in a special format with pipes separating the ed(...TRUNCATED)	108, 231	2	false	6,835	true	"First, I need to parse the given graph structure. The graph is represented as a series of edges, ea(...TRUNCATED)	108,231	1	false	584	true	"To determine the path from node 108 to node 231 in the given graph, I'll start by understanding the(...TRUNCATED)		1	false	896	true	"Alright, so I need to figure out how to find a path from node 108 to node 231 in this graph. The gr(...TRUNCATED)	108,158,231	1	true	1,838	true	"First, I need to parse the graph structure provided. The edges are separated by '\|', so I'll start (...TRUNCATED)	null	0	false	32,769	false	"To determine the path from node 108 to node 231 in the given graph, I start by analyzing the struct(...TRUNCATED)	108,231	1	false	270	true	"First, I need to parse the given graph data. The edges are separated by '\|', so each edge is a pair(...TRUNCATED)	null	0	false	32,769	false	"I need to convert the given edge representation of a graph into a path from node 108 to node 231.\n(...TRUNCATED)	\text{No path exists from node 108 to node 231 in the given graph.	1	false	5,740	true	"To solve this problem, I need to find a path from the source node 108 to the destination node 231 i(...TRUNCATED)	108, 231	1	false	884	true	"First, I'll parse the given edge list to identify the nodes and their connections. The edge list st(...TRUNCATED)	\text{No path exists from 108 to 231	1	false	499	true	"First, I need to parse the given graph structure. It appears to be in a specific format where edges(...TRUNCATED)	108, 288, 70, 153, 231	1	false	517	true	"To find the path from node 108 to node 231 in the given graph, I'll use a depth-first search (DFS) (...TRUNCATED)	108, 231	1	false	245	true	"First, I need to parse the given graph string into an adjacency list. Each edge is separated by a p(...TRUNCATED)	108, 231	1	false	1,617	true	"Okay, so I need to figure out how to find the path from node 108 to node 231 in this graph. The gra(...TRUNCATED)		2	false	6,800	true	"To determine the path from the source node 108 to the destination node 231 in the given graph, I wi(...TRUNCATED)	108,231	1	false	395	true	"I start by analyzing the given graph structure. The graph is a comma-separated list of edges, where(...TRUNCATED)	108,231	1	false	1,698	true	"First, I need to parse the given edge list to understand the structure of the graph. The edges are (...TRUNCATED)		2	false	3,086	true	"To determine the path from the source node 108 to the destination node 231 in the given graph, I ne(...TRUNCATED)	108, 184, 76, 231	1	false	795	true	"Alright, so I have this problem where I need to find a path from the source node 108 to the destina(...TRUNCATED)	108, 158, 231	2	true	5,159	true	"To solve the problem of finding the path from node 108 to node 231 in the given graph, I first need(...TRUNCATED)	108, 184, 231	1	false	545	true	"To find the path from node 108 to node 231 in the given graph, I start by examining the adjacency l(...TRUNCATED)	"108, 288, 153, 108, 184, 27, 157, 108, 184, 217, 177, 108, 76, 108, 217, 177, 108, 76, 108, 288, 15(...TRUNCATED)	1	false	2,196	true	"First, I need to understand the structure of the graph provided. It consists of nodes separated by (...TRUNCATED)	231	1	false	1,045	true	"Alright, let me try to figure out the path from node 108 to 231 using the given graph structure. Fi(...TRUNCATED)	108,288,153,231	1	false	1,398	true	"First, I need to parse the given graph string to extract the nodes and edges. The nodes are separat(...TRUNCATED)	108,212,184,27,108,288,108,212,184,27,231	1	false	2,513	true	"First, I need to parse the given graph structure, which is represented as a string of edges separat(...TRUNCATED)	108, 231	1	false	1,615	true	"To find the path from node 108 to node 231 in the given graph, we'll use a breadth-first search (BF(...TRUNCATED)	108, 231	1	false	379	true	"First, I need to parse the given graph string to extract the edges and nodes. The graph is structur(...TRUNCATED)	108, 212, 158, 231	2	false	3,365	true	"To find the shortest path from node 108 to node 231 in the given graph, I will perform a breadth-fi(...TRUNCATED)	108, 207, 231	1	false	880	true	"To solve the problem of finding the path from the source node 108 to the destination node 231 in th(...TRUNCATED)	108, 158, 231	1	true	3,482	true	"First, I need to parse the input graph string to extract the nodes and their connections. The graph(...TRUNCATED)	108,231	1	false	805	true	"First, I need to parse the given graph string and extract the edges. The graph is represented by se(...TRUNCATED)	108 \rightarrow 212 \rightarrow 52 \rightarrow 158 \rightarrow 231	2	false	12,361	true	"I need to find a path from node 108 to node 231 in the given graph. Starting at 108, I'll explore a(...TRUNCATED)	108, 184, 153, 207, 193, 231	1	false	896	true

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