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<pre>
Optimal_Balanced_1D_Bin_Packing - Validation
Objective:
> Minimal K bins with sums ≤ capacity & items count ≤ limit
> 🟦 sums <= capacity
> 🟩 sums == capacity (for at least K-1 bins)
Show_path = False
A-100_n
Filename Optimal
----------------------------------------------------------
capacity-2000-k-23-limit-5 100% 🟩
capacity-6000-k-8-limit-13 100% 🟩
capacity-10000-k-5-limit-20 100% 🟩
capacity-1001-k-45-limit-3 100% 🟦
capacity-1416-k-32-limit-4 100% 🟦
capacity-20000-k-26-limit-4 100% 🟦
capacity-60000-k-9-limit-12 100% 🟩
capacity-100000-k-6-limit-17 100% 🟩
capacity-14213-k-37-limit-3 100% 🟦
B-1_000_n
Filename Optimal
----------------------------------------------------------
capacity-20000-k-247-limit-5 100% 🟩
capacity-30000-k-165-limit-7 100% 🟩
capacity-40000-k-124-limit-9 100% 🟩
capacity-50000-k-99-limit-11 100% 🟩
capacity-60000-k-83-limit-13 100% 🟩
capacity-70000-k-71-limit-15 100% 🟩
capacity-80000-k-62-limit-17 100% 🟩
capacity-90000-k-55-limit-19 100% 🟩
capacity-100000-k-50-limit-20 100% 🟩
capacity-12164-k-406-limit-3 100% 🟦
capacity-18288-k-270-limit-4 100% 🟦
capacity-23125-k-214-limit-5 100% 🟩
capacity-27596-k-179-limit-6 100% 🟩
capacity-33181-k-149-limit-7 100% 🟩
capacity-35716-k-139-limit-8 100% 🟩
capacity-43396-k-114-limit-9 100% 🟩
capacity-45776-k-108-limit-10 100% 🟩
capacity-54744-k-91-limit-11 100% 🟩
capacity-57729-k-86-limit-12 100% 🟩
capacity-60276-k-82-limit-13 100% 🟩
capacity-68171-k-73-limit-14 100% 🟩
capacity-74963-k-66-limit-16 100% 🟩
capacity-76583-k-65-limit-16 100% 🟩
capacity-81330-k-61-limit-17 100% 🟩
capacity-89022-k-56-limit-18 100% 🟩
capacity-94374-k-53-limit-19 100% 🟩
capacity-96671-k-52-limit-20 100% 🟩
capacity-164657-k-30-limit-34 100% 🟩
capacity-201608-k-25-limit-40 100% 🟩
capacity-362030-k-14-limit-72 100% 🟩
capacity-491953-k-11-limit-91 100% 🟦
capacity-941501-k-6-limit-167 100% 🟩
capacity-1768582-k-3-limit-334 100% 🟩
capacity-2141230-k-3-limit-334 100% 🟩
capacity-2963618-k-2-limit-500 100% 🟩
capacity-200000-k-246-limit-5 100% 🟦
capacity-300000-k-164-limit-7 100% 🟩
capacity-400000-k-123-limit-9 100% 🟩
capacity-500000-k-99-limit-11 100% 🟩
capacity-600000-k-82-limit-13 100% 🟩
capacity-700000-k-71-limit-15 100% 🟩
capacity-800000-k-62-limit-17 100% 🟩
capacity-900000-k-55-limit-19 100% 🟩
capacity-1000000-k-50-limit-20 100% 🟦
capacity-110862-k-443-limit-3 100% 🟦
capacity-149522-k-328-limit-4 100% 🟦
capacity-149617-k-328-limit-4 100% 🟦
capacity-192893-k-255-limit-4 100% 🟦
capacity-196104-k-250-limit-4 100% 🟦
capacity-198223-k-248-limit-5 100% 🟦
capacity-201620-k-244-limit-5 100% 🟦
capacity-212025-k-232-limit-5 100% 🟦
capacity-226942-k-216-limit-5 100% 🟦
capacity-233048-k-211-limit-5 100% 🟦
capacity-295890-k-166-limit-7 100% 🟩
capacity-560780-k-88-limit-12 100% 🟩
capacity-594279-k-83-limit-13 100% 🟩
capacity-617090-k-80-limit-13 100% 🟩
capacity-642893-k-77-limit-13 100% 🟩
capacity-719275-k-69-limit-15 100% 🟩
capacity-827353-k-60-limit-17 100% 🟩
capacity-917127-k-54-limit-19 100% 🟩
capacity-943441-k-52-limit-20 100% 🟩
capacity-946391-k-52-limit-20 100% 🟩
C-10_000_n
Filename Optimal
----------------------------------------------------------
capacity-200000-k-2482-limit-5 100% 🟩
capacity-300000-k-1655-limit-7 100% 🟩
capacity-400000-k-1241-limit-9 100% 🟩
capacity-500000-k-993-limit-11 100% 🟩
capacity-600000-k-828-limit-13 100% 🟩
capacity-700000-k-710-limit-15 100% 🟩
capacity-800000-k-621-limit-17 100% 🟩
capacity-900000-k-552-limit-19 100% 🟩
capacity-1000000-k-497-limit-21 100% 🟩
capacity-175454-k-2829-limit-4 100% 🟦
capacity-205735-k-2413-limit-5 100% 🟩
capacity-254900-k-1948-limit-6 100% 🟩
capacity-297749-k-1668-limit-6 100% 🟦
capacity-306211-k-1621-limit-7 100% 🟩
capacity-387958-k-1280-limit-8 100% 🟩
capacity-421837-k-1177-limit-9 100% 🟩
capacity-492550-k-1008-limit-10 100% 🟩
capacity-506356-k-981-limit-11 100% 🟩
capacity-589707-k-842-limit-12 100% 🟩
capacity-612671-k-811-limit-13 100% 🟩
capacity-660642-k-752-limit-14 100% 🟩
capacity-732183-k-678-limit-15 100% 🟩
capacity-784992-k-633-limit-16 100% 🟩
capacity-843886-k-589-limit-17 100% 🟩
capacity-866164-k-574-limit-18 100% 🟩
capacity-900804-k-552-limit-19 100% 🟩
capacity-981015-k-506-limit-20 100% 🟩
capacity-1735627-k-286-limit-35 100% 🟩
capacity-2883002-k-173-limit-58 100% 🟩
capacity-3768582-k-132-limit-76 100% 🟩
capacity-4141230-k-120-limit-84 100% 🟩
capacity-9459931-k-53-limit-189 100% 🟩
capacity-15954037-k-32-limit-313 100% 🟩
capacity-2000000-k-2490-limit-5 100% 🟦
capacity-3000000-k-1660-limit-7 100% 🟦
capacity-4000000-k-1245-limit-9 100% 🟦
capacity-5000000-k-996-limit-11 100% 🟦
capacity-6000000-k-830-limit-13 100% 🟦
capacity-7000000-k-712-limit-15 100% 🟦
capacity-8000000-k-623-limit-17 100% 🟦
capacity-9000000-k-554-limit-19 100% 🟦
capacity-10000000-k-498-limit-21 100% 🟩
D-100_000_n
Filename Optimal
----------------------------------------------------------
capacity-2000000-k-24991-limit-5 100% 🟦
capacity-3000000-k-16661-limit-7 100% 🟦
capacity-4000000-k-12496-limit-9 100% 🟩
capacity-5000000-k-9997-limit-11 100% 🟩
capacity-6000000-k-8331-limit-13 100% 🟦
capacity-7000000-k-7141-limit-15 100% 🟦
capacity-8000000-k-6248-limit-17 100% 🟦
capacity-9000000-k-5554-limit-19 100% 🟦
capacity-10000000-k-4999-limit-21 100% 🟩
capacity-9851143-k-5074-limit-20 100% 🟩
capacity-22653150-k-2207-limit-46 100% 🟩
E-1_000_000_n
Filename Optimal
----------------------------------------------------------
capacity-20000000-k-250133-limit-4 100% 🟦
capacity-30000000-k-166756-limit-6 100% 🟦
capacity-25725938-k-194460-limit-6 100% 🟦
capacity-33174692-k-150798-limit-7 100% 🟦
capacity-221950435-k-22540-limit-45 100% 🟦
==========================================================
Total: 131 / 131 valid instances
</pre>