I Love Everyone Proportionally

Logic Level 2

In the following grid, any heart can be moved to any empty square. What is the minimum number of hearts that have to be moved in order for each row and each column to have exactly three hearts?


The answer is 2.

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Paola Ramírez by Paola Ramírez , 24, Mexico

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2 solutions

Himanshu Goyal
May 20, 2016

Relevant wiki: Grid Puzzles

• • -
• • •
• • -
* • • •
• * • •

"•" = Existing hearts ( don't touch) "-" = place hearts here "*" = remove hearts from here

4 Helpful 0 Interesting 0 Brilliant 0 Confused

Thay was an easy solution.. No ways for it to be level 3..

karan shah - 5 years ago

Yes , that is one solution. This problem has more possible arrangements.

A A - 5 years ago
Ashish Menon
May 23, 2016

Move the heart from the (fourth column and fifth row) to (first colum and first row). Then move the heart from (fifth column and fourth row) to (fifth column and third row). Now all rows have 3 hearts.

3 Helpful 0 Interesting 0 Brilliant 0 Confused

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