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R1-1.5b-Par-Temp-0.7-Ans-40-32768-deg-2-path-3-n-500-s-400-e-500-new-prompt

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train · 100 rows

prompt string	gold_answer string	raw_answer_0 string	extracted_answer_0 string	num_boxed_0 int64	grade_0 bool	ans_token_len_0 int64	finished_0 bool	raw_answer_1 string	extracted_answer_1 string	num_boxed_1 int64	grade_1 bool	ans_token_len_1 int64	finished_1 bool	raw_answer_2 string	extracted_answer_2 string	num_boxed_2 int64	grade_2 bool	ans_token_len_2 int64	finished_2 bool	raw_answer_3 string	extracted_answer_3 string	num_boxed_3 int64	grade_3 bool	ans_token_len_3 int64	finished_3 bool	raw_answer_4 string	extracted_answer_4 string	num_boxed_4 int64	grade_4 bool	ans_token_len_4 int64	finished_4 bool	raw_answer_5 string	extracted_answer_5 string	num_boxed_5 int64	grade_5 bool	ans_token_len_5 int64	finished_5 bool	raw_answer_6 string	extracted_answer_6 string	num_boxed_6 int64	grade_6 bool	ans_token_len_6 int64	finished_6 bool	raw_answer_7 string	extracted_answer_7 string	num_boxed_7 int64	grade_7 bool	ans_token_len_7 int64	finished_7 bool	raw_answer_8 string	extracted_answer_8 string	num_boxed_8 int64	grade_8 bool	ans_token_len_8 int64	finished_8 bool	raw_answer_9 string	extracted_answer_9 string	num_boxed_9 int64	grade_9 bool	ans_token_len_9 int64	finished_9 bool	raw_answer_10 string	extracted_answer_10 string	num_boxed_10 int64	grade_10 bool	ans_token_len_10 int64	finished_10 bool	raw_answer_11 string	extracted_answer_11 string	num_boxed_11 int64	grade_11 bool	ans_token_len_11 int64	finished_11 bool	raw_answer_12 string	extracted_answer_12 string	num_boxed_12 int64	grade_12 bool	ans_token_len_12 int64	finished_12 bool	raw_answer_13 string	extracted_answer_13 string	num_boxed_13 int64	grade_13 bool	ans_token_len_13 int64	finished_13 bool	raw_answer_14 string	extracted_answer_14 string	num_boxed_14 int64	grade_14 bool	ans_token_len_14 int64	finished_14 bool	raw_answer_15 string	extracted_answer_15 string	num_boxed_15 int64	grade_15 bool	ans_token_len_15 int64	finished_15 bool	raw_answer_16 string	extracted_answer_16 string	num_boxed_16 int64	grade_16 bool	ans_token_len_16 int64	finished_16 bool	raw_answer_17 string	extracted_answer_17 string	num_boxed_17 int64	grade_17 bool	ans_token_len_17 int64	finished_17 bool	raw_answer_18 string	extracted_answer_18 string	num_boxed_18 int64	grade_18 bool	ans_token_len_18 int64	finished_18 bool	raw_answer_19 string	extracted_answer_19 string	num_boxed_19 int64	grade_19 bool	ans_token_len_19 int64	finished_19 bool	raw_answer_20 string	extracted_answer_20 string	num_boxed_20 int64	grade_20 bool	ans_token_len_20 int64	finished_20 bool	raw_answer_21 string	extracted_answer_21 string	num_boxed_21 int64	grade_21 bool	ans_token_len_21 int64	finished_21 bool	raw_answer_22 string	extracted_answer_22 string	num_boxed_22 int64	grade_22 bool	ans_token_len_22 int64	finished_22 bool	raw_answer_23 string	extracted_answer_23 string	num_boxed_23 int64	grade_23 bool	ans_token_len_23 int64	finished_23 bool	raw_answer_24 string	extracted_answer_24 string	num_boxed_24 int64	grade_24 bool	ans_token_len_24 int64	finished_24 bool	raw_answer_25 string	extracted_answer_25 string	num_boxed_25 int64	grade_25 bool	ans_token_len_25 int64	finished_25 bool	raw_answer_26 string	extracted_answer_26 string	num_boxed_26 int64	grade_26 bool	ans_token_len_26 int64	finished_26 bool	raw_answer_27 string	extracted_answer_27 string	num_boxed_27 int64	grade_27 bool	ans_token_len_27 int64	finished_27 bool	raw_answer_28 string	extracted_answer_28 string	num_boxed_28 int64	grade_28 bool	ans_token_len_28 int64	finished_28 bool	raw_answer_29 string	extracted_answer_29 string	num_boxed_29 int64	grade_29 bool	ans_token_len_29 int64	finished_29 bool	raw_answer_30 string	extracted_answer_30 string	num_boxed_30 int64	grade_30 bool	ans_token_len_30 int64	finished_30 bool	raw_answer_31 string	extracted_answer_31 string	num_boxed_31 int64	grade_31 bool	ans_token_len_31 int64	finished_31 bool	raw_answer_32 string	extracted_answer_32 string	num_boxed_32 int64	grade_32 bool	ans_token_len_32 int64	finished_32 bool	raw_answer_33 string	extracted_answer_33 string	num_boxed_33 int64	grade_33 bool	ans_token_len_33 int64	finished_33 bool	raw_answer_34 string	extracted_answer_34 string	num_boxed_34 int64	grade_34 bool	ans_token_len_34 int64	finished_34 bool	raw_answer_35 string	extracted_answer_35 string	num_boxed_35 int64	grade_35 bool	ans_token_len_35 int64	finished_35 bool	raw_answer_36 string	extracted_answer_36 string	num_boxed_36 int64	grade_36 bool	ans_token_len_36 int64	finished_36 bool	raw_answer_37 string	extracted_answer_37 string	num_boxed_37 int64	grade_37 bool	ans_token_len_37 int64	finished_37 bool	raw_answer_38 string	extracted_answer_38 string	num_boxed_38 int64	grade_38 bool	ans_token_len_38 int64	finished_38 bool	raw_answer_39 string	extracted_answer_39 string	num_boxed_39 int64	grade_39 bool	ans_token_len_39 int64	finished_39 bool
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	201,61,96	"First, I'll parse the input graph to create a clear visual representation of the nodes and their co(...TRUNCATED)	201,111,201,15,61,111,15,201,96	1	false	791	true	"First, I need to parse the given graph structure. The graph is separated into edges using the \"\|\"(...TRUNCATED)	201,111,15	1	false	562	true	"First, I need to understand the structure of the graph provided. The graph is represented by a stri(...TRUNCATED)	\text{No path exists from	1	false	755	true	"First, I need to understand the structure of the graph. The graph is provided as a series of edges (...TRUNCATED)	201,111,15,201,61,111	1	false	652	true	"First, I need to interpret the graph structure provided. The graph is separated into edges by the p(...TRUNCATED)		2	false	824	true	"To solve the problem of finding a path from node 201 to node 96 in the given graph, I start by anal(...TRUNCATED)	\text{No Path	1	false	791	true	"First, I need to parse the given graph string to extract the nodes and their adjacent edges. The st(...TRUNCATED)	201,111,15,96	1	false	960	true	"I need to find a path from the source node 201 to the destination node 96 in the given graph.\n\nFi(...TRUNCATED)	[201, 111, 15, 96]	1	false	408	true	"To solve the problem of finding the path from node 201 to node 96 in the given graph, I start by an(...TRUNCATED)	201-111-15-61-96	1	false	1,527	true	"I need to find the path from node 201 to node 96 in the given graph. The graph is represented by a (...TRUNCATED)	\text{No path exists from 201 to 96	1	false	803	true	"I need to determine the path from node 201 to node 96 in the given graph. I'll start by analyzing t(...TRUNCATED)	\text{No valid path from 201 to 96	1	false	994	true	"To find the path from node 201 to node 96 in the given graph, I start by examining the edges. Node (...TRUNCATED)	1-2-3-4-5-6-7-10	1	false	30,436	true	"To find the shortest path from node 201 to node 96 in the given graph, I first need to understand t(...TRUNCATED)	201, 111, 61, 96	1	false	1,362	true	"I need to find a path from node 201 to node 96 in the given graph structure. The graph is represent(...TRUNCATED)	\text{No path exists from 201 to 96	1	false	1,025	true	"Alright, so I've got this problem here where I need to find a path from the source node 201 to the (...TRUNCATED)	201,61,96	1	true	1,850	true	"First, I need to understand the structure of the graph provided. The graph is represented by edges (...TRUNCATED)	201,111,15,201,61,96	1	false	956	true	"To find the shortest path from node 201 to node 96 in the given graph, I will use a breadth-first s(...TRUNCATED)		2	false	791	true	"I need to find a path from the source node 201 to the destination node 96 in the given graph. The e(...TRUNCATED)	201,111,15,61,111,96	1	false	618	true	"First, I'll represent the graph using an adjacency list where each edge is labeled with its source (...TRUNCATED)	null	0	false	32,769	false	"First, I need to parse the input string to identify the nodes and edges. The input string is \"61,9(...TRUNCATED)	\text{No valid path	1	false	875	true	"I need to find a path from node 201 to node 96 in the given graph. \n\nFirst, I'll list all the edg(...TRUNCATED)	201, 111, 15, 96	1	false	553	true	"I need to parse the given graph edges separated by pipes and construct a path from the source node (...TRUNCATED)	\text{No valid path exists from 201 to 96	1	false	612	true	"First, I'll break down the given graph string into its individual edges by splitting on the pipe sy(...TRUNCATED)	201, 111, 15, 96	1	false	519	true	"Alright, so I have this problem here where I need to find a path from a source node to a destinatio(...TRUNCATED)	201,61,96	1	true	1,886	true	"First, I need to parse the given graph structure. The edges are separated by the character '\|', so (...TRUNCATED)	\text{No valid path exists from 201 to 96	1	false	699	true	"First, I need to parse the given graph string to extract the nodes and their connected edges. The g(...TRUNCATED)	201,111,61,15,96	1	false	1,017	true	"First, I'll parse the given edge list and construct the graph structure. Each edge is separated by (...TRUNCATED)	201,111,96	1	false	593	true	"First, I need to parse the given graph string to extract the edges and their corresponding source a(...TRUNCATED)	201,111,61,96	1	false	1,578	true	"To solve the problem, I will follow these steps:\n\n1. Parse the Graph: The graph is provided a(...TRUNCATED)	201,15,96	1	false	896	true	"First, I need to interpret the input graph. It is given as a list of edges separated by pipes, wher(...TRUNCATED)	201,111,15	1	false	627	true	"I need to find a path from node 201 to node 96 in the given graph. The graph is represented as a se(...TRUNCATED)	201,111,15,96 \quad \text{or	1	false	670	true	"To solve this problem, I need to convert a given graph structure, represented by a string, into a p(...TRUNCATED)	201, 61, 111, 96	1	false	1,044	true	"To find the path from node 201 to node 96 in the given graph, I'll start by examining the structure(...TRUNCATED)	\text{No such path exists	1	false	573	true	"To solve the problem of finding a path from the source node 201 to the destination node 96 in the g(...TRUNCATED)	201,61,96	1	true	438	true	"First, I need to parse the input string \"61,96\|111,15\|201,111,201,61\" to extract the nodes and th(...TRUNCATED)	201,111,15,201,61,111,15,201,61,111,15,201,96	1	false	845	true	"First, I need to understand the structure of the graph provided. The edges are separated by the cha(...TRUNCATED)	201,61,111,15,201,96	2	false	2,009	true	"First, I'll start by identifying the source node, which is 201. I need to traverse the graph from 2(...TRUNCATED)	\text{No path exists from 201 to 96 in the given graph.	1	false	706	true	"To determine the path from node 201 to node 96 in the given graph, I start by understanding the str(...TRUNCATED)	201,61,96	1	true	565	true	"I need to find a path from node 201 to node 96 in the given graph. The graph is represented by edge(...TRUNCATED)	201\,111\,96	1	false	1,778	true	"First, I need to analyze the given graph structure. The graph is provided as a string where each ed(...TRUNCATED)	201, 111, 15, 201, 61, 111	2	false	685	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	97,229,202	"First, I need to parse the given graph string into its individual edges. Each edge is separated by (...TRUNCATED)	97, 229, 202	1	true	610	true	"First, I need to parse the input graph. The graph is given as a string with edges separated by '\|'.(...TRUNCATED)	97,44,229,202	1	false	916	true	"First, I'll parse the input string to extract the source and destination nodes. The source node is (...TRUNCATED)	97,44,259,202	1	false	500	true	"First, I need to parse the given graph string \"97,44\|97,229\|229,202\|44,259\" to understand its str(...TRUNCATED)	97, 44, 229, 202	2	false	793	true	"First, I need to parse the given edge-separated graph string: \"97,44\|97,229\|229,202\|44,259\". This(...TRUNCATED)	null	0	false	32,769	false	"First, I need to parse the given graph string. The graph is represented as a series of edges separa(...TRUNCATED)	97,229,202	1	true	570	true	"To solve the problem of finding a path from the source node 97 to the destination node 202 in the g(...TRUNCATED)	97,229,202	1	true	1,022	true	"First, I need to parse the input string to extract the source and destination nodes. The source nod(...TRUNCATED)	97,\,229,\,202	1	false	491	true	"I need to find the path from node 97 to node 202 in the given graph.\n\nFirst, I'll represent the g(...TRUNCATED)	97,44,229,202	1	false	561	true	"First, I need to understand the structure of the given graph. The edges are separated by the '\|' ch(...TRUNCATED)	97,44,229,202	1	false	401	true	"First, I need to analyze the given graph structure. The graph is represented as a series of edges s(...TRUNCATED)	97, 229, 202	1	true	719	true	"First, I need to parse the given edge notation to construct the graph. The edge notation is a seque(...TRUNCATED)	97,44,259,202	1	false	489	true	"First, I'll analyze the graph provided, which is represented as a string of numbers separated by pi(...TRUNCATED)	97,44,97,229,229,202,44,259,259,202	1	false	618	true	"First, I need to parse the given edge notation to understand the structure of the graph. The edge n(...TRUNCATED)	97,44,259,202	2	false	671	true	"To solve this problem, I need to find a path from the source node 97 to the destination node 202 in(...TRUNCATED)	97,44,229,202	1	false	660	true	"I need to parse the given graph string to determine the path from the source node 97 to the destina(...TRUNCATED)	97,229,202	1	true	828	true	"To solve the problem, I need to parse the given graph structure and determine the path from the sou(...TRUNCATED)	97,229,202	1	true	698	true	"I need to parse the graph structure to identify the source and destination nodes. The graph is give(...TRUNCATED)	97,44,229,202	1	false	496	true	"To solve the problem of finding a path from the source node 97 to the destination node 202 in the g(...TRUNCATED)	97, 229, 202	1	true	935	true	"First, I need to parse the given graph structure. The graph is represented as a sequence of integer(...TRUNCATED)	97,\ 44,\ 229,\ 202	1	false	677	true	"I need to find a path from the source node 97 to the destination node 202 in the given graph. The g(...TRUNCATED)	97, 44, 229, 202	1	false	543	true	"First, I need to parse the given graph structure. The graph is provided as a string with edges sepa(...TRUNCATED)		2	false	721	true	"To solve the problem of finding the path from the source node 97 to the destination node 202 in the(...TRUNCATED)	97,44,259,202	1	false	752	true	"First, I'll parse the graph structure to understand the connections between the nodes. The graph is(...TRUNCATED)	97,44,229,202	1	false	750	true	"First, I need to parse the given graph string. The graph is separated by '\|' edges, and each edge i(...TRUNCATED)	97,44,229,202	1	false	526	true	"To determine the path from node 97 to node 202 in the given graph, I'll start by analyzing the stru(...TRUNCATED)	97,229,202	1	true	541	true	"First, I need to understand the input format. The graph is represented by a series of numbers conne(...TRUNCATED)	97, 44, 229, 202	1	false	606	true	"Alright, so I have this problem where I need to find a path from the source node 97 to the destinat(...TRUNCATED)	97, 229, 202	2	true	5,416	true	"First, I need to interpret the given graph structure. The graph is represented as a chain of number(...TRUNCATED)	97,\ 44,\ 229,\ 202	1	false	407	true	"To find the path from 97 to 202 in the graph represented by the string \"97,44\|97,229\|229,202\|44,25(...TRUNCATED)	97, 229, 202	1	true	608	true	"First, I need to parse the given graph string to extract the edges and their associated weights. Th(...TRUNCATED)	97,44,202	1	false	702	true	"First, I need to understand the structure of the graph. The graph is represented as a series of edg(...TRUNCATED)	97, 44, 259, 202	1	false	554	true	"First, I need to interpret the given graph string `97,44\|97,229\|229,202\|44,259` to understand its s(...TRUNCATED)	97,44,229,202	1	false	665	true	"First, I need to parse the input graph string to extract the connected edges and their weights. The(...TRUNCATED)	606	1	false	913	true	"First, I need to understand the structure of the graph provided. The graph is given as a string of (...TRUNCATED)	97,44,202	1	false	731	true	"First, I need to parse the input graph to understand its structure. The graph is given in a chain-l(...TRUNCATED)	97, 44, 259, 202	1	false	954	true	"First, I need to parse the input string to extract the edges. The given graph is \"97,44\|97,229\|229(...TRUNCATED)	97, 229, 202	1	true	793	true	"To find the shortest path from node 97 to node 202 in the given graph, I start by identifying the e(...TRUNCATED)	97, 44, 229, 202	1	false	680	true	"To solve the problem, I'll start by analyzing the given graph structure. The graph is provided as a(...TRUNCATED)	97, 44, 229, 202	1	false	964	true	"First, I need to parse the input string to extract the nodes and edges. The input is \"97,44\|97,229(...TRUNCATED)	\text{No path exists from 97 to 202	1	false	725	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	83,1,128	"To solve the problem, I need to parse the given graph string and construct a path from the source n(...TRUNCATED)	83,247,128	2	false	459	true	"First, I need to parse the given graph string to extract the edges and their source and destination(...TRUNCATED)	83,128	1	false	780	true	"First, I need to parse the graph string to identify the edges and their connections. The graph is g(...TRUNCATED)	83, 128	1	false	646	true	"To solve the problem, I need to parse the given graph string and determine the path from the source(...TRUNCATED)	83, 128	1	false	855	true	"First, I need to understand the structure of the given graph. The graph is provided in a format whe(...TRUNCATED)	83,128	1	false	666	true	"To determine the path from node 83 to node 128 in the graph represented by the string \"\| separated(...TRUNCATED)	83,1,247,128	1	false	863	true	"First, I'll parse the given graph string. The graph is separated by pipes, so I'll split it into in(...TRUNCATED)	83, 128	2	false	527	true	"First, I'll analyze the input string \"83\|128\|83\|247\|247\|185\". This string represents a graph wher(...TRUNCATED)	128	1	false	459	true	"First, I'll parse the input string to extract all the nodes in the graph. The input is `83\|128\|83\|1(...TRUNCATED)	83,128	1	false	714	true	"First, I'll parse the input string \"83\|128\" to extract the source node \"83\" and the destination(...TRUNCATED)	83, 128	1	false	593	true	"First, I need to parse the given graph string. The graph is separated by pipes, so I'll split it in(...TRUNCATED)	83, 1, 83, 247, 247, 128	1	false	652	true	"First, I need to parse the given graph string to extract the list of nodes and their edges. The str(...TRUNCATED)	83,1,247,185	1	false	578	true	"To determine the path from node 83 to node 128 in the given graph, I need to analyze the structure (...TRUNCATED)	83,3	1	false	507	true	"First, I need to understand the structure of the given graph. The graph is represented as a string (...TRUNCATED)	83,128,1,128	1	false	994	true	"To find the path from node 83 to node 128, I'll start by analyzing the given graph structure.\n\nFi(...TRUNCATED)	83, 128	1	false	832	true	"First, I need to parse the given graph string into a structured format. The graph is separated by p(...TRUNCATED)	83,1,247,185,128	1	false	619	true	"To solve the problem, I first need to understand the structure of the given graph. The graph is rep(...TRUNCATED)	83\,247\,185	1	false	939	true	"To determine the path from node 83 to node 128 in the graph described by the edges \"\|\", we'll ana(...TRUNCATED)	83,128	1	false	409	true	"To determine the path from the source node 83 to the destination node 128 in the graph represented (...TRUNCATED)	\text{No valid path from 83 to 128	1	false	655	true	"First, I need to parse the given graph structure. The graph is provided as a string separated by pi(...TRUNCATED)	83, 128	1	false	262	true	"First, I need to parse the given graph structure, which is separated by pipes (\|). Each edge is rep(...TRUNCATED)	83,128	1	false	637	true	"First, I need to parse the given graph string to extract the structure. The graph is provided as \"(...TRUNCATED)	83, 83, 247, 128	1	false	592	true	"First, I need to parse the given graph string \"83\|128\|83\|1\|83\|247\|247\|185\" and identify the sourc(...TRUNCATED)	83,1,128	1	true	593	true	"To find the path from 83 to 128 in the given graph, I start by examining the structure of the graph(...TRUNCATED)	83,\ 1,\ 247,\ 185,\ 128	1	false	805	true	"To solve the problem of finding a path from node 83 to node 128 in the given graph, I will follow t(...TRUNCATED)	\text{No path exists from node 83 to node 128	2	false	930	true	"First, I'll start with the source node 83. From 83, I can reach 247 and 185.\n\nNext, from 247, I c(...TRUNCATED)	83, 247, 128	1	false	243	true	"To solve the problem of finding a path from node 83 to node 128 in the graph represented by the str(...TRUNCATED)	83, 1, 247, 128	2	false	1,001	true	"First, I'll parse the input string to extract the individual edge nodes separated by the '\|' symbol(...TRUNCATED)	83,1,128	1	true	638	true	"To solve the problem, I need to parse the given graph structure and determine the path from the sou(...TRUNCATED)	83, 128	1	false	462	true	"To find the path from 83 to 128 in the given graph, I need to traverse through the nodes using the (...TRUNCATED)	83,\ 1,\ 128	1	false	420	true	"First, I need to parse the given graph string into an adjacency list structure. The graph is separa(...TRUNCATED)	83,247,185,128	1	false	553	true	"First, I need to understand the structure of the graph provided: \"83\|128\|83\|1\|83\|247\|247\|185\".\n\(...TRUNCATED)	83, 1, 128	1	true	396	true	"First, I need to parse the given graph string. The graph is structured with pipes (`\|`) separating (...TRUNCATED)	\text{No path exists from 83 to 128	1	false	694	true	"First, I need to parse the given graph string to identify the edges and their connections. The grap(...TRUNCATED)	83, 247\|247, 185	1	false	1,028	true	"To solve the problem, I first need to parse the given graph string. The graph is structured with ed(...TRUNCATED)	83,128	1	false	523	true	"To solve the problem, I first need to parse the given graph string. The graph is structured with ed(...TRUNCATED)	83,\,128	1	false	514	true	"First, I'll parse the given edge string to extract the nodes and their connections. The string is \(...TRUNCATED)	83,128	1	false	583	true	"To find the path from the source node 83 to the destination node 128 in the given graph, I'll start(...TRUNCATED)	83, 128	1	false	421	true	"To solve the problem of finding a path from node 83 to node 128 in the given graph, I will follow t(...TRUNCATED)	\text{No valid path exists.	1	false	880	true	"First, I'll analyze the given graph structure, which is represented as a string of numbers and pipe(...TRUNCATED)	83, 128	1	false	420	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	224,55,95	"To determine the path from the source node 224 to the destination node 95 in the given graph, I'll (...TRUNCATED)	224, 55, 95	1	true	618	true	"To solve the problem, I first need to parse the given graph edges and construct an adjacency list r(...TRUNCATED)	224,55,286,95	1	false	936	true	"First, I need to understand the structure of the given graph. The edges are separated by the pipe s(...TRUNCATED)	95	1	false	640	true	"First, I'll parse the given graph string to extract the nodes and edges. The nodes are the integers(...TRUNCATED)	224,55,95	1	true	646	true	"To determine the path from the source node 224 to the destination node 95 in the given graph, I fir(...TRUNCATED)	224,55,95	2	true	516	true	"First, I need to analyze the given graph structure. The graph is represented by a string of edges s(...TRUNCATED)	224,95	1	false	610	true	"To solve the problem, I need to parse the given graph and identify the path from the source node to(...TRUNCATED)	224, 55, 95	1	true	464	true	"First, I need to parse the given edge list to construct a graph representation. The edges are provi(...TRUNCATED)	224,55,95	1	true	829	true	"To solve the problem of finding the shortest path from node 224 to node 95 in the given graph, I wi(...TRUNCATED)	224,95	1	false	1,172	true	"First, I need to analyze the given graph structure. The graph is represented as a string with pipes(...TRUNCATED)	224,286,55,95	1	false	532	true	"First, I'll parse the given edge string to identify all the nodes and edges in the graph. The strin(...TRUNCATED)	224,55,95	1	true	853	true	"First, I need to parse the given graph string to extract the nodes and edges. The graph is provided(...TRUNCATED)	224, 222, 222, 95	1	false	634	true	"First, I'll parse the edge-separiated graph string. It consists of multiple edges separated by '\|'.(...TRUNCATED)	224,55,95	1	true	811	true	"First, I need to parse the input string to extract the list of edges. The input string is \"286,221(...TRUNCATED)	224, 55, 95	2	true	664	true	"I need to analyze the given graph represented by the edges \"\| separated\" format and determine the(...TRUNCATED)	224, 55, 95	1	true	605	true	"To solve the problem of finding the path from the source node 224 to the destination node 95 in the(...TRUNCATED)	224, 55, 95	2	true	1,102	true	"First, I need to understand the input format of the graph. It consists of edges separated by pipes (...TRUNCATED)		2	false	682	true	"First, I need to understand the structure of the graph provided. The edges are separated by pipes ((...TRUNCATED)	224, 55, 95	1	true	1,230	true	"To solve the problem, I need to parse the given graph data and determine the path from the source n(...TRUNCATED)	224, 286, 55, 95	1	false	548	true	"To solve the problem of finding a path from the source node 224 to the destination node 95 in the g(...TRUNCATED)	224,286,221,55,95	1	false	766	true	"First, I need to parse the given graph string to extract all the edges. The graph is separated by t(...TRUNCATED)	224,95	1	false	857	true	"I need to find a path from node 224 to node 95 in the given graph. The edges are labeled with numbe(...TRUNCATED)	224, 55, 95	1	true	715	true	"To find the shortest path from node 224 to node 95 in the given graph, I will use a breadth-first s(...TRUNCATED)	1000	2	false	29,112	true	"First, I need to parse the given graph string to identify the source and destination nodes.\n\nThe (...TRUNCATED)	224, 55, 95	1	true	458	true	"First, I need to parse the graph string \"286,221\|55,95\|224,55\|224,286\" into a structured format, (...TRUNCATED)	224,55,95	1	true	702	true	"To solve the problem of finding a path from node 224 to node 95 in the given graph, I need to analy(...TRUNCATED)	224,95	2	false	611	true	"First, I'll parse the graph string to extract the edges. The graph is given as \"\| 286,221\|55,95\|22(...TRUNCATED)	224,55,95	1	true	426	true	"First, I'll analyze the given graph string \"286,221\|55,95\|224,55\|224,286\". This represents edges (...TRUNCATED)	286,221,55,95	1	false	529	true	"To determine the path from node 224 to node 95 in the graph described by the string \"286,221\|55,95(...TRUNCATED)	224,55,95	1	true	955	true	"First, I need to understand the structure of the graph provided. The graph is represented as a sequ(...TRUNCATED)	\text{No path exists from 224 to 95	1	false	1,045	true	"First, I need to parse the given graph string to extract the nodes and edges. The graph is separate(...TRUNCATED)	224,55,95	1	true	622	true	"I need to find a path from node 224 to node 95 in the graph represented by the string \"\|286,221\|55(...TRUNCATED)	\text{No path exists from 224 to 95	1	false	658	true	"To solve the problem of finding a path from the source node 224 to the destination node 95 in the g(...TRUNCATED)	224,55,221,95	1	false	1,325	true	"First, I need to interpret the given graph structure. The graph is represented as a string where ed(...TRUNCATED)	224,55,95	1	true	780	true	"First, I need to identify the source node, which is 224. From the given graph string \"286,221\|55,9(...TRUNCATED)	224,286,55,95	1	false	563	true	"To determine the path from the source node 224 to the destination node 95 in the given graph, I fir(...TRUNCATED)	224,55,95	2	true	715	true	"I need to parse the graph string \"286,221\|55,95\|224,55\|224,286\" where the edges are separated by (...TRUNCATED)	224,55,95	1	true	694	true	"First, I'll parse the given graph string \"286,221\|55,95\|224,55\|224,286\" to extract the edges and (...TRUNCATED)	224, 286, 55, 95	1	false	530	true	"First, I need to parse the given edge list to construct the graph. The edge list is provided as \"\|(...TRUNCATED)	224,55,95	1	true	855	true	"First, I need to parse the graph string `286,221\|55,95\|224,55\|224,286` into an adjacency list. This(...TRUNCATED)	224,286,221,95	1	false	645	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	73,255,215	"To solve the problem of finding a path from the source node 73 to the destination node 215 in the g(...TRUNCATED)		2	false	717	true	"To solve the problem of finding a path from the source node 73 to the destination node 215 in the g(...TRUNCATED)	73, 171, 255, 215	1	false	903	true	"First, I need to interpret the given graph string `73,171\|73,171\|73,255\|255,215`. This string repre(...TRUNCATED)	73, 171, 73, 171, 73, 255, 255, 215	1	false	747	true	"To solve this problem, I need to find a path from the source node 73 to the destination node 215 in(...TRUNCATED)	73,255,215	1	true	998	true	"To solve this problem, I need to find a path from the source node 73 to the destination node 215 in(...TRUNCATED)	73,255,215	1	true	894	true	"To determine the path from the source node 73 to the destination node 215 in the given graph, we ne(...TRUNCATED)	73, 215	1	false	459	true	"To solve the problem, I need to find a path from the source node 73 to the destination node 215 in (...TRUNCATED)	73,171,255	1	false	748	true	"First, I need to understand the structure of the graph provided. It's represented as a string of ed(...TRUNCATED)	73,121,153,225,215	2	false	1,114	true	"First, I need to understand the structure of the graph provided. The graph is given as a series of (...TRUNCATED)	73, 171, 255, 215	1	false	593	true	"First, I need to understand the structure of the given graph. The edges are separated by pipes, so (...TRUNCATED)	73,\ 255,\ 215	1	false	459	true	"To solve this problem, I need to determine a path from the source node 73 to the destination node 2(...TRUNCATED)	73,121,255,215	1	false	860	true	"To solve the problem of finding a path from the source node 73 to the destination node 215 in the g(...TRUNCATED)	73,171,255,215	1	false	1,149	true	"To solve the problem, I will analyze the given graph structure and identify the source and destinat(...TRUNCATED)	73,121,73171,73255,255215	1	false	1,072	true	"First, I'll interpret the given graph structure. The graph is a list of nodes separated by pipes, w(...TRUNCATED)	73,125,255,215	1	false	401	true	"First, I need to understand the structure of the graph provided. The edges are separated by the sym(...TRUNCATED)	73, 171, 121, 193, 215	1	false	506	true	"Alright, so I need to find a path from the source node 73 to the destination node 215 in the given (...TRUNCATED)	73,171,255,215	1	false	1,260	true	"First, I need to parse the given graph string to extract the list of nodes and their connected edge(...TRUNCATED)	73,128,255,215	1	false	565	true	"Alright, so I have this problem where I'm given a graph that's represented in a special format with(...TRUNCATED)	null	0	false	32,769	false	"First, I need to parse the given graph string to extract all the nodes and their connections. The g(...TRUNCATED)	73,171,171,255,215	1	false	1,042	true	"I need to determine the path from node 73 to node 215 in the given graph structure.\n\nFirst, I'll (...TRUNCATED)	73, 171, 121, 255, 215	1	false	572	true	"To solve this problem, I start by analyzing the given edge notation. Each edge is separated by a ve(...TRUNCATED)	73,\ 171,\ 121,\ 255,\ 215	1	false	596	true	"First, I need to parse the input string to extract the individual edges. The edges are separated by(...TRUNCATED)	73,255,215	1	true	743	true	"To determine the path from the source node 73 to the destination node 215 in the given graph, I wil(...TRUNCATED)	73,121,73,171,73,255,215	1	false	789	true	"First, I need to understand the structure of the graph provided. The graph is represented as a seri(...TRUNCATED)	73, 171, 215	1	false	638	true	"To solve the problem, I need to find a path from the source node 73 to the destination node 215 in (...TRUNCATED)	73, 73,255, 255,215	1	false	877	true	"First, I need to understand the structure of the graph provided. The graph is presented as a series(...TRUNCATED)	73, 215	1	false	575	true	"Alright, let's see. I have this problem where I'm given a graph represented in a special format, an(...TRUNCATED)	null	0	false	4,692	true	"I need to parse the given graph representation, which consists of edges separated by the '\|' symbol(...TRUNCATED)	73, 121, 73, 171, 255, 255, 215	1	false	691	true	"First, I need to understand the structure of the graph provided: \"73,121\|73,171\|73,255\|255,215\". (...TRUNCATED)	73, 121, 255, 215	1	false	760	true	"To solve the problem of finding a path from the source node 73 to the destination node 215 in the g(...TRUNCATED)	73,\,171,\,173,\,255,\,215	1	false	874	true	"First, I need to understand the structure of the graph provided. The graph is represented by edges (...TRUNCATED)	73,215	1	false	429	true	"First, I need to understand the input format. The graph is provided as a sequence of edges separate(...TRUNCATED)	73,\ 171,\ 255,\ 215	1	false	546	true	"First, I need to interpret the given graph structure. The graph is represented by a string where ea(...TRUNCATED)	73, 255, 215	1	true	633	true	"First, I need to understand the structure of the given graph. The graph is separated by the \"\|\" c(...TRUNCATED)	73, 121, 171, 255, 215	4	false	1,265	true	"I need to determine the path from node 73 to node 215 in the given graph structure. The graph is re(...TRUNCATED)	73, 171, 255, 215	1	false	402	true	"First, I need to parse the given graph structure. The edges are separated by the character '\|', so (...TRUNCATED)	73, 171, 255, 215	1	false	787	true	"First, I need to parse the given graph string. The graph is separated by pipes (\|), and each edge i(...TRUNCATED)	73,171,255,215	1	false	584	true	"To solve the problem of finding a path from the source node 73 to the destination node 215 in the g(...TRUNCATED)	73 \rightarrow 171 \rightarrow 121 \rightarrow 171 \rightarrow 121 \rightarrow \ldots	1	false	786	true	"First, I need to parse the given graph structure. The graph is represented as a series of edges sep(...TRUNCATED)	73, 171, 73,171,255,215	1	false	488	true	"First, I need to parse the given graph string to extract the edge definitions. The string is in the(...TRUNCATED)	73,171,215	1	false	564	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	250,40,210	"Alright, so I've got this problem here where I need to find a path from the source node 250 to the (...TRUNCATED)	250, 40, 241, 52, 210	1	false	1,001	true	"To find the path from node 250 to node 210 in the given graph, we can use a depth-first search (DFS(...TRUNCATED)	250,\ 40,\ 210	1	false	707	true	"I need to find the shortest path from node 250 to node 210 in the graph provided. \n\nFirst, I'll l(...TRUNCATED)	250, 241, 210	1	false	510	true	"First, I need to understand the input format and the graph structure. The graph is provided as a st(...TRUNCATED)	250, 52, 210	1	false	1,038	true	"First, I need to interpret the given graph structure. The graph is represented by a string where ea(...TRUNCATED)	250,241,52,210	1	false	1,196	true	"First, I need to understand the structure of the graph provided. The edges are separated by the cha(...TRUNCATED)	250, 210	1	false	578	true	"First, I'll interpret the graph structure from the given string \"250,40\|241,52\|250,241\|40,210\". E(...TRUNCATED)	250, 40, 241, 52, 250, 241, 40, 210	1	false	718	true	"First, I need to parse the given edge list into a graph structure. The edge list is provided as a s(...TRUNCATED)		2	false	704	true	"Alright, so I've got this problem here where I need to find a path from node 250 to node 210 in a g(...TRUNCATED)	250, 241, 40, 210	1	false	9,501	true	"To determine the path from node 250 to node 210 in the given graph, I will analyze the edge connect(...TRUNCATED)	250,\ 241,\ 210	1	false	422	true	"I have the graph represented as a string with edges separated by '\|' and numbers representing nodes(...TRUNCATED)	250,40,241,52,210	1	false	934	true	"I need to find the path from node 250 to node 210 in the given graph structure.\n\nStarting at 250,(...TRUNCATED)	250,\ 241,\ 252,\ 210	1	false	275	true	"First, I need to parse the input string to extract the nodes and the edges. The nodes are the numbe(...TRUNCATED)	250,40,210	1	true	732	true	"First, I need to parse the graph string to identify the connected nodes. The graph is given as \"25(...TRUNCATED)	250,40,210	1	true	853	true	"First, I need to parse the given graph string into an adjacency list. Each edge is separated by the(...TRUNCATED)	250, 241, 250, 241, 40, 210	1	false	1,040	true	"To solve the problem, I'll start by breaking down the given graph structure and the source and dest(...TRUNCATED)	250,241,240,231,220,210	1	false	924	true	"I need to determine the path from node 250 to node 210 using the given graph structure. The graph i(...TRUNCATED)	"250,241,240,252,240,251,241,240,254,240,253,241,240,256,240,255,241,240,258,240,257,241,240,260,240(...TRUNCATED)	2	false	7,912	true	"I need to solve the problem of finding a path from node 250 to node 210 in the given graph structur(...TRUNCATED)	250,241,210	1	false	638	true	"I need to parse the given graph string \"250,40\|241,52\|250,241\|40,210\" to identify the source and (...TRUNCATED)	250,\ 40,\ 52,\ 210	1	false	510	true	"First, I need to parse the input string to extract the edge list. The input is separated by pipes, (...TRUNCATED)	250,241,210	1	false	833	true	"Alright, so I have this problem where I need to find a path from node 250 to node 210 in a graph th(...TRUNCATED)	250,40,210	1	true	1,071	true	"First, I'll interpret the given graph structure. The edges are separated by '\|', and each edge repr(...TRUNCATED)	250,241,52,210	1	false	587	true	"To solve the problem of finding a path from node 250 to node 210 in the given graph, I need to firs(...TRUNCATED)	250, 40, 241, 210	1	false	596	true	"Alright, let's see. I have this problem where I need to find a path from node 250 to node 210 in a (...TRUNCATED)	null	0	false	625	true	"To determine the path from node 250 to node 210 in the given graph, I will analyze the edges and fo(...TRUNCATED)	250,210	1	false	323	true	"To determine the path from node 250 to node 210 in the given graph, I will analyze the structure of(...TRUNCATED)	250,40,210	1	true	885	true	"First, I need to parse the given graph data. The graph is provided as a string with edges separated(...TRUNCATED)	\text{No path exists from 250 to 210	1	false	1,244	true	"To solve the problem of finding a path from the source node 250 to the destination node 210 in the (...TRUNCATED)	250,241,210	1	false	781	true	"First, I'll start by representing the graph as an adjacency list based on the provided string. The (...TRUNCATED)	250, 241, 210	1	false	501	true	"Alright, so I've got this problem where I need to find a path from node 250 to node 210 in a graph.(...TRUNCATED)	250,40,210	2	true	5,789	true	"First, I need to parse the graph string to extract the edges. The graph is given as \"250,241,52,25(...TRUNCATED)	250,241,52,250,241,40,210	1	false	658	true	"Alright, so I have this graph problem to solve. It's given as something like \"\| separated edges\",(...TRUNCATED)	250,40,210	2	true	3,258	true	"First, I need to parse the given graph string to extract the nodes and edges. The string is separat(...TRUNCATED)	250,40,210	1	true	730	true	"To solve the problem, I need to parse the given edge-separated graph and identify the path from the(...TRUNCATED)	250,241,210	1	false	912	true	"To solve the problem of finding a path from node 250 to node 210 in the graph represented by the st(...TRUNCATED)	\text{No path exists from 250 to 210	1	false	1,305	true	"First, I need to interpret the given graph structure. The graph is presented as a list of edges sep(...TRUNCATED)	\text{No path exists from 250 to 210	1	false	724	true	"First, I need to interpret the given graph representation, which consists of a series of edges sepa(...TRUNCATED)	250, 241, 52, 210	1	false	462	true	"First, I need to understand the structure of the given graph. The graph is provided as a string of (...TRUNCATED)	250,241,210	1	false	892	true	"First, I need to parse the input string to extract the source and destination nodes and all the edg(...TRUNCATED)	250,210	1	false	469	true	"First, I need to parse the graph string to extract the edges. The graph is separated by '\|', and ea(...TRUNCATED)	250,40,210	1	true	668	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	52,102,94	"I need to determine the path from node 52 to node 94 in the given graph. \n\nFirst, I'll look at th(...TRUNCATED)	52, 102, 170, 94	1	false	503	true	"First, I need to parse the graph data provided. The graph is represented as a list of edges separat(...TRUNCATED)	52, 102, 170, 269, 94	1	false	678	true	"To solve the problem, I need to understand the structure of the graph provided. The graph is repres(...TRUNCATED)	\text{No valid path exists	1	false	1,270	true	"First, I need to parse the input string to identify the source and destination nodes and understand(...TRUNCATED)	52, 102, 94	1	true	401	true	"To find the path from node 52 to node 94 in the graph, I will use a depth-first search (DFS) approa(...TRUNCATED)	52, 102, 170, 269, 94	1	false	458	true	"First, I need to parse the given graph string to identify all the nodes and their connected edges. (...TRUNCATED)	52, 102, 170, 94	1	false	635	true	"First, I'll interpret the given graph data. The graph is provided as a sequence of edges separated (...TRUNCATED)	\text{No Path	1	false	507	true	"First, I need to interpret the given graph structure. The graph is represented by a string where ea(...TRUNCATED)	\text{No Path	1	false	964	true	"First, I'll parse the given graph string to extract the edge connections. The graph is provided as (...TRUNCATED)	\text{No path exists	1	false	812	true	"First, I need to parse the given graph string. It is divided by pipes (`\|`), which indicate the edg(...TRUNCATED)	52, 102, 94	1	true	697	true	"To find the path from node 52 to node 94 in the graph represented by the given edges, I will perfor(...TRUNCATED)	52, 102, 170, 269, 94	1	false	621	true	"To find the shortest path from node 52 to node 94 in the given graph, I start by identifying all th(...TRUNCATED)	52, 102, 170, 94	2	false	724	true	"I need to find a path from the source node 52 to the destination node 94 in the given graph.\n\nFir(...TRUNCATED)	52, 102, 170, 94	1	false	487	true	"I need to find a path from the source node 52 to the destination node 94 in the given graph. The gr(...TRUNCATED)	52, 102, 94	1	true	484	true	"I need to find a path from the source node 52 to the destination node 94 in the given graph. The gr(...TRUNCATED)	\text{No path exists from node	1	false	670	true	"First, I need to parse the given graph string to extract the edges. The graph is structured with ed(...TRUNCATED)	\text{No Path	1	false	711	true	"I need to find a path from node 52 to node 94 in the given graph. The graph is represented as a ser(...TRUNCATED)	52, 102, 170, 94	1	false	549	true	"First, I'll parse the graph provided. The edges are separated by pipes (\|), so each edge connects t(...TRUNCATED)	52, 102, 170, 269, 94	1	false	709	true	"To solve the problem, I first need to parse the given graph structure. The graph is represented by (...TRUNCATED)	52,102,94	1	true	301	true	"First, I need to understand the structure of the graph. The edges are separated by pipes (\|), and e(...TRUNCATED)	52, 170, 269, 94	1	false	592	true	"To solve the problem of finding a path from node 52 to node 94 in the given graph, I start by analy(...TRUNCATED)	52, 102, 170, 269, 94	1	false	533	true	"First, I'll interpret the given graph structure. The graph is represented with edges separated by '(...TRUNCATED)	\text{No path exists from 52 to 94	1	false	747	true	"First, I will parse the given graph string to extract all edges and their corresponding nodes.\n\nT(...TRUNCATED)	\text{No path exists	1	false	915	true	"First, I need to interpret the given graph structure. The graph is provided as a sequence of edges (...TRUNCATED)	52, 102, 269, 94	2	false	717	true	"First, I need to analyze the given graph structure. The edges are separated by '\|', so I'll list al(...TRUNCATED)	52, 102, 170, 94	1	false	405	true	"First, I need to parse the input string into a list of edges. The input is \"52\|102\|170\|269\|52\|170\(...TRUNCATED)	52, 102, 170, 269, 52, 170	1	false	815	true	"First, I need to understand the graph structure provided. The graph is given as a sequence of edges(...TRUNCATED)	\text{No such path exists	1	false	678	true	"To solve the problem of finding the path from node 52 to node 94 in the given graph, I need to anal(...TRUNCATED)	52, 170, 94	1	false	525	true	"First, I'll parse the graph string \"52\|102\|170\|269\|94\" to extract the nodes and edges. The nodes (...TRUNCATED)	52, 102, 170, 269, 94	1	false	674	true	"First, I need to analyze the given graph structure. The graph is represented with edges separated b(...TRUNCATED)	\text{No path exists from 52 to 94	1	false	547	true	"First, I'll parse the input string to extract the source node, destination node, and the edges of t(...TRUNCATED)	52, 102, 94	1	true	869	true	"First, I need to parse the given graph structure. The graph is provided as a string where each edge(...TRUNCATED)	52, 170, 94	1	false	797	true	"First, I need to understand the structure of the graph. The graph is provided as a string with edge(...TRUNCATED)	\text{No path exists from 52 to 94	1	false	641	true	"First, I'll parse the given graph structure. The graph is represented as a series of edges separate(...TRUNCATED)	52, 102, 269, 170, 94	1	false	509	true	"I need to solve the problem of finding a path from node 52 to node 94 in the given graph. \n\nFirst(...TRUNCATED)	52, 102, 170, 269, 94	1	false	389	true	"To solve this problem, I need to find a path from the source node 52 to the destination node 94 in (...TRUNCATED)	94	1	false	1,182	true	"To find the path from node 52 to node 94 in the given graph, I need to analyze the structure of the(...TRUNCATED)	\text{No such path exists	1	false	671	true	"First, I need to parse the given graph structure. The edges are separated by '\|', so the graph is r(...TRUNCATED)	\text{No path exists from 52 to 94	1	false	641	true	"I need to analyze the graph structure provided by the user. The graph is represented in a specific (...TRUNCATED)	52, 94	1	false	320	true	"First, I need to parse the graph string to extract the nodes and edges. The graph is represented by(...TRUNCATED)	52,102,269,170,94	1	false	695	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	216,94,9	"First, I'll interpret the given graph as a set of edges connected in a specific order. The edges ar(...TRUNCATED)	216,64,9	1	false	446	true	"To solve the problem of finding a path from node 216 to node 9 in the given graph, I first need to (...TRUNCATED)	216,\ 94,\ 9	1	false	602	true	"First, I need to parse the given graph string. The string is separated by edges with pipes, so I'll(...TRUNCATED)	\text{No path exists from 216 to 9	1	false	930	true	"First, I'll start from the source node, which is 216, and follow the edges to navigate through the (...TRUNCATED)	216, 64, 9	1	false	438	true	"First, I'll parse the input string `64,48\|216,64\|216,94\|94,9` into a list of nodes and edges. The n(...TRUNCATED)	216, 94, 9	1	true	778	true	"First, I'll parse the input graph. The edges are represented by pipes, and each node is separated b(...TRUNCATED)	216, 64, 94, 9	1	false	524	true	"First, I'll start with the source node 216 and look for its neighbors. In the given graph, 216 is c(...TRUNCATED)	216,94,9	1	true	387	true	"First, I need to parse the given graph string to understand the structure. The graph is separated b(...TRUNCATED)	216,64,216,94,9	1	false	618	true	"To determine the path from node 216 to node 9 in the given graph, we start by examining the edges c(...TRUNCATED)	216, 64,48, 94,64, 9	1	false	455	true	"I need to find a path from node 216 to node 9 in the given graph. \n\nFirst, I'll map out the edges(...TRUNCATED)	216,\ 48,\ 9	2	false	501	true	"To solve the problem of finding a path from the source node 216 to the destination node 9 in the gi(...TRUNCATED)	216, 94, 9	1	true	541	true	"To determine the path from node 216 to node 9 in the given graph, I will analyze the connections pr(...TRUNCATED)	216, 94, 64	1	false	448	true	"To determine the path from node 216 to node 9 in the given graph, I will analyze the connections st(...TRUNCATED)	216, 64, 9	1	false	506	true	"To find the path from node 216 to node 9 in the given graph, I start by identifying the parent node(...TRUNCATED)	216, 64, 94, 64, 216, 9	1	false	448	true	"To find the path from node 216 to node 9 in the given graph, I'll start by mapping out all the edge(...TRUNCATED)	64, 94, 9	1	false	579	true	"To find the path from the source node 216 to the destination node 9 in the given graph, I'll follow(...TRUNCATED)		4	false	1,047	true	"First, I need to parse the given edge strings and construct a graph representation. The edges are g(...TRUNCATED)	216, 94, 9	1	true	695	true	"First, I need to parse the graph structure provided. The graph is represented using pipes (`\|`) to (...TRUNCATED)	216,94,9	1	true	567	true	"Alright, let's try to figure out how to solve this problem. So, we have a graph represented in a sp(...TRUNCATED)	216 \rightarrow 64 \rightarrow 216 \rightarrow \ldots \rightarrow 9	2	false	6,588	true	"To solve the problem of finding a path from node 216 to node 9 in the given graph, I start by analy(...TRUNCATED)	216,\ 64,\ 94,\ 9	1	false	616	true	"First, I need to understand the structure of the graph provided. The edges are separated by \"\|\", (...TRUNCATED)	216, 64, 48, 9	1	false	694	true	"First, I need to understand the structure of the graph. It is represented as a sequence of edges se(...TRUNCATED)	216, 48, 216, 64, 216, 94, 9	1	false	492	true	"I need to find a path from node 216 to node 9 in the given graph. Starting from 216, I can go to 64(...TRUNCATED)	216, 64, 9	1	false	181	true	"I need to find the shortest path from node 216 to node 9 in the given graph.\n\nI start by identify(...TRUNCATED)	216, 48, 9	1	false	488	true	"First, I need to parse the graph structure from the given string. The graph is separated by the '\|'(...TRUNCATED)	216, 64, 216, 94, 9	1	false	448	true	"To determine the path from the source node 216 to the destination node 9 in the given graph, I will(...TRUNCATED)	216,\ 48,\ 64,\ 94,\ 9	1	false	770	true	"To solve the problem of finding a path from node 216 to node 9 in the given graph, I need to follow(...TRUNCATED)	216, 9	2	false	526	true	"First, I need to identify the source node, which is 216, and the destination node, which is 9. The (...TRUNCATED)	216,48,64,94,9	1	false	490	true	"First, I'll analyze the given graph structure. The edges are separated by '\|', and the nodes are co(...TRUNCATED)	216, 64, 48, 94, 9	1	false	473	true	"To determine the path from the source node 216 to the destination node 9 in the given graph, I firs(...TRUNCATED)	216,\ 64,\ 216,\ 64,\ 94,\ 9	1	false	448	true	"I need to determine the path from the source node 216 to the destination node 9 in the given graph.(...TRUNCATED)	216, 48, 64, 94, 9	1	false	583	true	"To find the path from node 216 to node 9 in the given graph, I will perform a depth-first search (D(...TRUNCATED)	216,64,48,94,64,9	1	false	633	true	"First, I need to understand the structure of the graph provided. The graph is represented using pip(...TRUNCATED)	\text{No such path exists	1	false	419	true	"First, I need to parse the input graph structure to determine the connections between nodes. The gr(...TRUNCATED)	216, 48, 64, 94, 9	1	false	759	true	"To find the path from the source node 216 to the destination node 9 in the given graph, I need to a(...TRUNCATED)	216,\,64,\,94,\,9	1	false	666	true	"First, I need to parse the given graph data. The graph is provided as a string with edges separated(...TRUNCATED)	216,94,9	1	true	728	true	"First, I need to understand the graph structure from the given input. The graph is represented with(...TRUNCATED)	216, 64, 48	1	false	598	true	"I need to find the shortest path from node 216 to node 9 in the given graph. The graph is represent(...TRUNCATED)	216,\ 94,\ 9	1	false	450	true	"I need to determine a path from node 216 to node 9 in the given graph. I will analyze the connectio(...TRUNCATED)	216, 94, 9	1	true	366	true	"To find the path from node 216 to node 9 in the given graph, I'll analyze the structure of the edge(...TRUNCATED)	216, 48, 64, 94, 9	1	false	356	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	243,228,237	"First, I need to parse the given graph string. The graph is structured using pipes (`\|`) to separat(...TRUNCATED)	243,228,237	1	true	485	true	"To find the path from node 243 to node 237 in the graph represented by the string \"243,228\|228,237(...TRUNCATED)	243,228,237	1	true	667	true	"To solve the problem of finding a path from the source node 243 to the destination node 237 in the (...TRUNCATED)	243, 228, 237	1	true	569	true	"First, I need to parse the given graph string to extract the nodes and their edges. The string is i(...TRUNCATED)	243,228,237	1	true	529	true	"Alright, so I have this problem where I need to find a path from a source node to a destination nod(...TRUNCATED)	243, 228, 237	2	true	1,986	true	"First, I need to understand the structure of the graph provided. The graph is represented as a sequ(...TRUNCATED)	243,228,237	1	true	613	true	"First, I need to parse the given graph string to extract the nodes and edges. The graph is provided(...TRUNCATED)	243,237	1	false	916	true	"First, I need to parse the given graph string \"243,228\|228,237\|243,234\|234,181\" to identify the n(...TRUNCATED)	243, 228, 237	1	true	956	true	"First, I need to interpret the input graph, which is given as a string of pairs separated by '\|'. T(...TRUNCATED)	243, 228, 237	1	true	496	true	"First, I need to parse the input string to extract the individual edge representations. The input i(...TRUNCATED)	243,228,237,243,234,234,181	1	false	751	true	"First, I need to understand the structure of the graph provided. It consists of multiple nodes conn(...TRUNCATED)	243,228,237	1	true	752	true	"To find the path from node 243 to node 237 in the given graph, I need to analyze the structure of t(...TRUNCATED)	243,\,237	1	false	690	true	"To solve the problem of finding the shortest path from node 243 to node 237 in the given graph, I'l(...TRUNCATED)	243,234,237	1	false	1,030	true	"First, I'll start by identifying the source node, which is 243. Next, I'll examine the edges connec(...TRUNCATED)	243-237	1	false	484	true	"First, I need to parse the given graph string. It's structured as a sequence of edges separated by (...TRUNCATED)	243,\ 228,\ 237	1	false	465	true	"First, I need to analyze the given graph structure. The graph is represented as a sequence of node (...TRUNCATED)	243,\,228,\,222,\,221,\,237	1	false	674	true	"To solve the problem, I first need to parse the given edge-separated graph string. The graph is rep(...TRUNCATED)	243,228,237	1	true	709	true	"First, I need to understand the structure of the graph provided. The graph is represented as a seri(...TRUNCATED)	243, 228, 237	2	true	631	true	"First, I need to interpret the graph representation provided. It's given as a string with each edge(...TRUNCATED)	243,228,237	1	true	1,311	true	"First, I need to understand the input format of the graph. It's given as a string where edges are s(...TRUNCATED)	243, 228, 228, 237, 243, 234, 234, 181, 237	1	false	695	true	"First, I need to parse the given graph string to extract all the edges. The graph is structured as (...TRUNCATED)	243, 228, 243, 234, 237	1	false	1,185	true	"First, I need to parse the given graph string to extract the edges. The graph is represented as a s(...TRUNCATED)	243, 237	2	false	727	true	"First, I need to parse the input string to extract the source node, destination node, and the edges(...TRUNCATED)	243, 228, 237	1	true	655	true	"First, I need to understand the structure of the given graph. The edges are separated by the charac(...TRUNCATED)	243, 237	1	false	999	true	"To determine the path from the source node 243 to the destination node 237 in the given graph, I wi(...TRUNCATED)	243,228,237	1	true	236	true	"First, I need to understand the structure of the graph provided. The graph is a sequence of nodes s(...TRUNCATED)	243,\ 228,\ 228,\ 237	1	false	401	true	"First, I need to interpret the given graph representation. The graph is separated by pipes, so each(...TRUNCATED)	243,228,228,237	1	false	481	true	"First, I need to interpret the given graph string \"243,228\|228,237\|243,234\|234,181\". This string (...TRUNCATED)	243,228,237	1	true	1,129	true	"First, I need to parse the given graph string to extract the nodes and edges. The string is \"243,2(...TRUNCATED)	243,228,237	1	true	575	true	"Alright, let's try to figure out how to convert the given graph into a path from the source node 24(...TRUNCATED)	243,228,237	2	true	2,984	true	"First, I need to understand the structure of the graph provided. It is a string of numbers separate(...TRUNCATED)	237, 243, 228	1	false	507	true	"To solve the problem, I need to parse the given graph string and identify the source and destinatio(...TRUNCATED)	243,228,237	1	true	438	true	"I need to find a path from node 243 to node 237 in the given graph structure. The graph is defined (...TRUNCATED)	243, 222, 237	1	false	518	true	"To solve the problem of finding a path from node 243 to node 237 in the given graph, I'll follow th(...TRUNCATED)	243, 228, 237	1	true	498	true	"First, I need to parse the given graph string to extract the nodes and their edges. The graph is pr(...TRUNCATED)	243, 228, 237, 234, 181	1	false	1,433	true	"I need to parse the given edge-separated graph and find the shortest path from the source node 243 (...TRUNCATED)	243, 237	1	false	1,095	true	"To solve the problem, I'll start by parsing the given graph string. The graph is structured as a se(...TRUNCATED)	243,228,237	1	true	954	true	"To solve the problem of finding the shortest path from node 243 to node 237 in the given graph, I'l(...TRUNCATED)	"243,228,222,223,219,218,217,216,215,214,213,212,211,210,209,208,207,206,205,204,203,202,201,200,199(...TRUNCATED)	2	false	4,419	true	"First, I need to understand the structure of the given graph. The graph is represented as a series (...TRUNCATED)	243,228,237	1	true	916	true	"Alright, so I have this problem where I'm given a graph represented as a string in the form of \"\| (...TRUNCATED)	243,228,237	1	true	767	true
"<｜begin▁of▁sentence｜><｜User｜>Given a graph in the form of ' ' separated edges, output a(...TRUNCATED)	279,157,221	"To determine the path from node 279 to node 221 in the given graph, I need to analyze the edges and(...TRUNCATED)	279, 157, 221	1	true	566	true	"I need to analyze the given graph structure to find the path from the source node 279 to the destin(...TRUNCATED)	279, 157, 221	1	true	581	true	"To solve the problem of finding a path from node 279 to node 221 in the given graph, I need to anal(...TRUNCATED)	279, 157, 221	1	true	505	true	"To find the path from the source node 279 to the destination node 221 in the given graph, I'll anal(...TRUNCATED)	279, 251, 157, 221	1	false	307	true	"First, I need to parse the given edge list and construct the graph structure. The edges are separat(...TRUNCATED)	279,157,221	1	true	845	true	"To solve this problem, I need to parse a graph that is represented by a string of edges separated b(...TRUNCATED)	279,251,157,221	1	false	948	true	"First, I'll parse the given graph string. The graph is separated into edges by the '\|' character, s(...TRUNCATED)	279,251,156,221	1	false	674	true	"First, I need to understand the structure of the graph provided. The edges are separated by the cha(...TRUNCATED)	279,251,157,221	1	false	869	true	"First, I need to parse the graph string to identify the edges. The graph is given as a string with (...TRUNCATED)	279,251,157,221	1	false	877	true	"First, I need to parse the given graph string into a structured format. The graph is provided as a (...TRUNCATED)	279,251,157,221	1	false	895	true	"To determine the path from node 279 to node 221 in the given graph, I first need to understand the (...TRUNCATED)	279,251,157,221	1	false	656	true	"First, I'll analyze the given graph structure. It's represented as a series of edges separated by t(...TRUNCATED)	279,251,156,251,157,221	1	false	836	true	"First, I need to parse the graph structure provided. The edges are separated by the pipe symbol \"\|(...TRUNCATED)	279,251,221	1	false	684	true	"To solve the problem, I need to analyze the given graph structure and identify the path from the so(...TRUNCATED)	279,157,221	2	true	509	true	"First, I need to interpret the graph structure provided. The edges are separated by the pipe symbol(...TRUNCATED)	279, 251, 157, 221	1	false	883	true	"I need to convert the given edge representation of a graph into a path from the source node 279 to (...TRUNCATED)	279, 221	1	false	530	true	"First, I'll convert the given graph from the specified format into a more usable structure, like a (...TRUNCATED)	279, 251, 221	1	false	718	true	"First, I'll parse the given edge list into a structured format. The edges are separated by pipes, s(...TRUNCATED)	279,251,157,221	1	false	817	true	"First, I need to parse the given graph string. It appears to be in the format of edges separated by(...TRUNCATED)	279,251,157,221	1	false	1,065	true	"To solve the problem, I'll follow these steps:\n\n1. Identify the Structure of the Graph:\n T(...TRUNCATED)	279,251,157	1	false	758	true	"First, I need to parse the given graph string into individual edges. The graph is provided as \"279(...TRUNCATED)	279, 251, 221	1	false	825	true	"First, I'll parse the graph string into a list of edges. Each edge is separated by a pipe character(...TRUNCATED)	279,251,157,221	1	false	1,113	true	"To solve the problem of finding the path from node 279 to node 221 in the given graph, I will follo(...TRUNCATED)	279,251,221	1	false	633	true	"First, I need to analyze the given graph structure. The graph is represented by a string with edges(...TRUNCATED)	279,251,156,221	1	false	685	true	"First, I need to identify the structure of the graph provided. It appears to be a string of edges s(...TRUNCATED)		2	false	472	true	"To determine the path from the source node 279 to the destination node 221 in the given graph, I fi(...TRUNCATED)	279, 251, 221	1	false	638	true	"I need to find a path from node 279 to node 221 in the given graph. The graph is structured with ed(...TRUNCATED)	\text{No path exists from 279 to 221.	1	false	727	true	"To solve the problem of finding the path from node 279 to node 221 in the given graph structure, I (...TRUNCATED)	279,251,157,221	1	false	1,078	true	"To find the path from the source node 279 to the destination node 221 in the given graph, I will pe(...TRUNCATED)	279,157,251,221	2	false	797	true	"First, I need to understand the structure of the graph provided. It consists of nodes separated by (...TRUNCATED)	279, 157, 221	1	true	412	true	"First, I need to parse the input string to extract the nodes and their connections. The nodes are t(...TRUNCATED)		2	false	851	true	"First, I need to understand the structure of the graph provided. It is in the form of edges separat(...TRUNCATED)	279, 251, 157, 221	1	false	466	true	"First, I'll parse the given edge list to identify all nodes. The nodes are 279, 251, 157, 221, 251,(...TRUNCATED)	279,251,157,221	1	false	930	true	"To solve the problem of finding a path from node 279 to node 221 in the given graph, I need to anal(...TRUNCATED)	279,157,251,156,221	1	false	1,045	true	"First, I need to parse the given graph string to extract the nodes and edges. The graph is structur(...TRUNCATED)	279,157,221	1	true	893	true	"First, I need to understand the structure of the graph provided. The graph is represented by edges (...TRUNCATED)	279,157,221	1	true	301	true	"To solve the problem of finding the path from the source node 279 to the destination node 221 in th(...TRUNCATED)	279,221	1	false	661	true	"First, I need to understand the input graph structure. The graph is provided as a string separated (...TRUNCATED)	279, 157, 221	1	true	554	true	"First, I need to parse the input string to extract the source and destination nodes. The source nod(...TRUNCATED)	279, 251, 221	1	false	625	true	"I need to find a path from node 279 to node 221 in the given graph. The graph is represented as a s(...TRUNCATED)	279, 251, 157, 221	1	false	662	true

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