min_steps_inference_chain

Min Steps Inference Chain problems ask for the minimum number of relationship steps needed to establish a connection between two persons in a family tree. Each step is a direct relationship (parent-child, sibling, spouse). These problems test your ability to find the shortest path through a family tree.

10Worksheets
200+Practice Questions
AdvancedDifficulty
2-3 hoursHours to Master

Introduction to min_steps_inference_chain

Min Steps Inference Chain problems ask for the minimum number of relationship steps needed to establish a connection between two persons in a family tree. Each step is a direct relationship (parent-child, sibling, spouse). These problems test your ability to find the shortest path through a family tree.

Prerequisites

Family tree navigation Graph path concepts Relationship types Step counting
Why This Matters: Min Steps problems appear in 0-1 questions in advanced exams. They test graph traversal and path-finding skills in family trees.

How to Solve min_steps_inference_chain Problems

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Step 1: Build the complete family tree from given statements

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Step 2: Identify the start person and target person

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Step 3: Find all possible paths between them through the tree

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Step 4: Count the number of relationship edges in each path

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Step 5: The minimum number of steps is the length of the shortest path

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Step 6: Each edge (direct relationship) counts as one step

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Step 7: Express the path as a sequence of relationships

Pro Strategy: Treat the family tree as a graph where each direct relationship is an edge. Use breadth-first search mentally to find the shortest path. Count edges, not nodes.

Example Problem

Example: In a family tree: A is parent of B. B is parent of C. C is parent of D. What is the minimum number of steps to relate A to D? Solution: Step 1: Path: A → B (parent-child), B → C (parent-child), C → D (parent-child) Step 2: Number of steps = 3 Step 3: Alternative path: None shorter Step 4: Minimum steps = 3 Answer: 3 steps

Pro Tips & Tricks

  • Parent-child = 1 step
  • Sibling = 2 steps (through common parent)
  • Grandparent-grandchild = 2 steps
  • Cousins = 4 steps (through grandparents)
  • Spouse = 1 step
  • Aunt/Uncle to niece/nephew = 2 steps

Shortcut Methods to Solve Faster

Same person: 0 steps
Direct parent-child: 1 step
Direct spouse: 1 step
Siblings: 2 steps (A → parent → B)
Grandparent: 2 steps (A → parent → grandchild)
First cousins: 4 steps (A → parent → grandparent → parent → B)

Common Mistakes to Avoid

Counting nodes instead of edges (steps = edges, not vertices)
Not considering spouse relationships as valid steps
Missing shorter paths through different connections
Assuming the most obvious path is always the shortest

Exam Importance

min_steps_inference_chain is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
0-1 questions
BANKING PO
0-1 questions
RAILWAYS RRB
0-1 questions
INSURANCE
0-1 questions

Ready to Master min_steps_inference_chain?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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