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How to Solve Minimum Cost to Connect Two Groups of Points Problem
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LeetCode ProblemMinimum Cost to Connect Two Groups of Points
You are given two groups of points where the first group has size1 points, the second group has size2 points, and size1 >= size2. The cost of the connection between any two points are given in an size1 x size2 matrix where cost[i][j] is the cost of connecting point i of the first group and point j of the second group. The groups are connected if each point in both groups is connected to one or more points in the opposite group. In other words, each point in the first group must be connected to at least one point in the second group, and each point in the second group must be connected to at least one point in the first group. Return the minimum cost it takes to connect the two groups.
ArrayDynamic ProgrammingBit ManipulationMatrixBitmask
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Problem Breakdown
Understanding the Minimum Cost to Connect Two Groups of Points Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given two groups of points where the first group has size1 points, the second group has size2 points, and size1 >= size2. The cost of the connection between any two points are given in an size1 x size2 matrix where cost[i][j] is the cost of connecting point i of the first group and point j of the second group. The groups are connected if each point in both groups is connected to one or more points in the opposite group. In other words, each point in the first group must be connected to at least one point in the second group, and each point in the second group must be connected to at least one point in the first group. Return the minimum cost it takes to connect the two groups.
HardProblem #1595
LeetCodeMinimum Cost to Connect Two Groups of Points
Related Topics
ArrayDynamic ProgrammingBit ManipulationMatrixBitmask
How Phantom Code Helps
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Examples
# Example 1
Input
cost = [[15, 96], [36, 2]]
Output
17
# Example 2
Input
cost = [[1, 3, 5], [4, 1, 1], [1, 5, 3]]
Output
4
# Example 3
Input
cost = [[2, 5, 1], [3, 4, 7], [8, 1, 2], [6, 2, 4], [3, 8, 8]]
Output
10
Constraints
size1 == cost.length
size2 == cost[i].length
1 <= size1, size2 <= 12
size1 >= size2
0 <= cost[i][j] <= 100
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Solve Minimum Cost to Connect Two Groups of Points — You are given two groups of points where the first group has size1 points, the s...
Here's the optimal approach using Array:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
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Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
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