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Bin 1

Can 0.2 fit in bin 1? - yes

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Bin 1

Store 0.2 in bin 1

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Bin 1 0.2

Can 0.5 fit in bin 1? - yes

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Store 0.5 in bin 1

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Bin 1 0.2 0.5

Can 0.4 fit in bin 1? - no

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Bin 1 0.2 0.5

Can 0.4 fit in bin 2? - yes

Bin size – capacity >= item 1 – 0.0 >= 0.4

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Bin 1 0.2 0.5

Store 0.4 in bin 2

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Bin 1 0.2 0.5

Bin 2 0.4

Can 0.7 fit in bin 1? - no

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Bin 2 0.4

Can 0.7 fit in bin 2? - no

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Bin 1 0.2 0.5

Bin 2 0.4

Can 0.7 fit in bin 3? - yes

Bin size – capacity >= item 1 – 0.0 >= 0.7

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Store 0.7 in bin 3

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Items

Bin 1 0.2 0.5

Bin 2 0.4

Bin 3 0.7

Can 0.1 fit in bin 1? - yes

Bin size – capacity >= item 1 – 0.7 >= 0.1

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Bin 1 0.2 0.5

Bin 2 0.4

Bin 3 0.7

Can 0.1 fit in bin 2? - yes

Bin size – capacity >= item 1 – 0.4 >= 0.1

Difference = 1 – 0.4 - 0.1 = 0.5

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Bin 1 0.2 0.5

Bin 2 0.4

Bin 3 0.7

Can 0.1 fit in bin 3? - yes

Bin size – capacity >= item 1 – 0.7 >= 0.1

Difference = 1 – 0.7 - 0.1 = 0.2

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Bin 3 0.7

Store 0.1 in bin 1

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Bin 1 0.2 0.5

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Bin 3 0.7 0.1

Can 0.3 fit in bin 1? - no

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Bin 1 0.2 0.5

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Bin 3 0.7 0.1

Can 0.3 fit in bin 2? - yes

Bin size – capacity >= item 1 – 0.4 >= 0.3

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Items

Bin 1 0.2 0.5

Bin 2 0.4

Bin 3 0.7 0.1

Can 0.3 fit in bin 3? - yes

Bin size – capacity >= item 1 – 0.7 >= 0.3

Difference = 1 – 0.7 - 0.3 = 0.0

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Bin 1 0.2 0.5

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Bin 3 0.7 0.1

0.0 0.3

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Bin 1 0.2 0.5

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Bin 3 0.7 0.1

Store 0.3 in bin 3

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Items

Bin 1 0.2 0.5 0.1

Can 0.8 fit in bin 1? - no

Bin size – capacity >= item 1 – 0.8 < 0.8

Bin 2 0.4

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Items

Bin 1 0.2 0.5 0.1

Can 0.8 fit in bin 2? - no

Bin size – capacity >= item 1 – 0.4 < 0.8

Bin 2 0.4

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Items

Bin 1 0.2 0.5 0.1

Can 0.8 fit in bin 3? - no

Bin size – capacity >= item 1 – 1 < 0.8

Bin 2 0.4

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Items

Bin 1 0.2 0.5 0.1

Bin 4 Can 0.8 fit in bin 4? - yes

Bin size – capacity >= item 1 – 0.0 >= 0.8

Bin 2 0.4

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Items

Bin 1 0.2 0.5 0.1

Store 0.8 in bin 4

Bin 4 0.8

Bin 2 0.4

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Items

Bin 1 0.2 0.5 0.1

Bin 4 0.8

Final Bin Packing

Bin 2 0.4

References

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