This section presents the results of running PowerModels.jl on the OPF benchmarks from the PGLib Archive. providing baseline results for these test cases. All models were solved using IPOPT.
Note that the displayed solve times are only approximate. These times do not include Julia's JIT time, around 2-5 seconds, and use the HSL ma27 solver in IPOPT. The default linear solver will increase the runtime by 2-6x.
PowerModels.jl: v0.7.2, 31e7627c4844fb8c54ff7206c0937cc907368e1e
Ipopt.jl: v0.3.0, ac35cedbdd602bb0f1c257a5e04b516df5119155
PGLib OPF: v18.08, dbfab62e1cffad0a59f6c128b040273ff8ee2f9b
Hardware: Dual Intel 2.10GHz CPUs, 128GB RAM
Case Name | Nodes | Edges | DC ($/h) | AC ($/h) | QC Gap (%) | SOC Gap (%) | DC Time (sec.) | AC Time (sec.) | QC Time (sec.) | SOC Time (sec.) |
---|---|---|---|---|---|---|---|---|---|---|
pglib_opf_case3_lmbd | 3 | 3 | 5.6959e+03 | 5.8126e+03 | 1.22 | 1.32 | <1 | <1 | <1 | <1 |
pglib_opf_case5_pjm | 5 | 6 | 1.7480e+04 | 1.7552e+04 | 14.55 | 14.55 | <1 | <1 | <1 | <1 |
pglib_opf_case14_ieee | 14 | 20 | 5.9257e+03 | 6.2913e+03 | 0.11 | 0.11 | <1 | <1 | <1 | <1 |
pglib_opf_case24_ieee_rts | 24 | 38 | 6.1001e+04 | 6.3352e+04 | 0.02 | 0.02 | <1 | <1 | <1 | <1 |
pglib_opf_case30_as | 30 | 41 | 7.6760e+02 | 8.0313e+02 | 0.06 | 0.06 | <1 | <1 | <1 | <1 |
pglib_opf_case30_fsr | 30 | 41 | 5.6521e+02 | 5.7577e+02 | 0.39 | 0.39 | <1 | <1 | <1 | <1 |
pglib_opf_case30_ieee | 30 | 41 | 1.1081e+04 | 1.1974e+04 | 10.78 | 10.81 | <1 | <1 | <1 | <1 |
pglib_opf_case39_epri | 39 | 46 | 1.4145e+05 | 1.4298e+05 | 0.49 | 0.49 | <1 | <1 | <1 | <1 |
pglib_opf_case57_ieee | 57 | 80 | 3.5441e+04 | 3.9323e+04 | 0.46 | 0.46 | <1 | <1 | <1 | <1 |
pglib_opf_case73_ieee_rts | 73 | 120 | 1.8300e+05 | 1.8976e+05 | 0.04 | 0.04 | <1 | <1 | <1 | <1 |
pglib_opf_case89_pegase | 89 | 210 | 1.1224e+05 | 1.1633e+05 | 0.74 | 0.75 | <1 | <1 | <1 | <1 |
pglib_opf_case118_ieee | 118 | 186 | 1.0962e+05 | 1.1580e+05 | 2.20 | 2.27 | <1 | <1 | <1 | <1 |
pglib_opf_case162_ieee_dtc | 162 | 284 | 1.1666e+05 | 1.2615e+05 | 7.54 | 7.67 | <1 | <1 | <1 | <1 |
pglib_opf_case179_goc | 179 | 263 | 8.2381e+05 | 8.2627e+05 | 0.12 | 0.13 | <1 | <1 | <1 | <1 |
pglib_opf_case200_tamu | 200 | 245 | 2.7480e+04 | 2.7558e+04 | 0.01 | 0.01 | <1 | <1 | <1 | <1 |
pglib_opf_case240_pserc | 240 | 448 | 3.5056e+06 | 3.5700e+06 | 3.81 | 3.92 | <1 | 4 | 4 | 2 |
pglib_opf_case300_ieee | 300 | 411 | 5.9324e+05 | 6.6422e+05 | 2.56 | 2.60 | <1 | <1 | <1 | <1 |
pglib_opf_case500_tamu | 500 | 597 | 7.0784e+04 | 7.2578e+04 | 5.39 | 5.39 | <1 | 2 | 2 | <1 |
pglib_opf_case588_sdet | 588 | 686 | 3.7799e+05 | 3.8155e+05 | 1.68 | 1.87 | <1 | <1 | 2 | <1 |
pglib_opf_case1354_pegase | 1354 | 1991 | 1.3140e+06 | 1.3640e+06 | 2.40 | 2.41 | <1 | 6 | 6 | 3 |
pglib_opf_case1888_rte | 1888 | 2531 | 1.5111e+06 | 1.5654e+06 | 1.82 | 1.82 | <1 | 15 | 9 | 5 |
pglib_opf_case1951_rte | 1951 | 2596 | 2.3128e+06 | 2.3753e+06 | 0.12 | 0.13 | <1 | 18 | 10 | 5 |
pglib_opf_case2000_tamu | 2000 | 3206 | 1.2014e+06 | 1.2285e+06 | 0.20 | 0.21 | <1 | 11 | 9 | 3 |
pglib_opf_case2316_sdet | 2316 | 3017 | 2.2234e+06 | 2.2567e+06 | 2.22 | 2.22 | <1 | 8 | 13 | 5 |
pglib_opf_case2383wp_k | 2383 | 2896 | 1.8041e+06 | 1.8685e+06 | 0.99 | 1.05 | <1 | 9 | 10 | 5 |
pglib_opf_case2736sp_k | 2736 | 3504 | 1.2760e+06 | 1.3079e+06 | 0.29 | 0.30 | <1 | 8 | 11 | 4 |
pglib_opf_case2737sop_k | 2737 | 3506 | 7.6401e+05 | 7.7763e+05 | 0.25 | 0.26 | <1 | 6 | 8 | 4 |
pglib_opf_case2746wop_k | 2746 | 3514 | 1.1782e+06 | 1.2083e+06 | 0.36 | 0.37 | <1 | 7 | 9 | 4 |
pglib_opf_case2746wp_k | 2746 | 3514 | 1.5814e+06 | 1.6318e+06 | 0.32 | 0.33 | <1 | 7 | 9 | 4 |
pglib_opf_case2848_rte | 2848 | 3776 | 1.3636e+06 | 1.3847e+06 | 0.12 | 0.12 | <1 | 21 | 14 | 7 |
pglib_opf_case2853_sdet | 2853 | 3921 | 2.4498e+06 | 2.4694e+06 | 1.43 | 1.47 | <1 | 11 | 13 | 9 |
pglib_opf_case2868_rte | 2868 | 3808 | 2.2053e+06 | 2.2599e+06 | 0.11 | 0.11 | <1 | 21 | 14 | 8 |
pglib_opf_case2869_pegase | 2869 | 4582 | 2.5166e+06 | 2.6050e+06 | 1.07 | 1.08 | <1 | 14 | 20 | 7 |
pglib_opf_case3012wp_k | 3012 | 3572 | 2.5090e+06 | 2.6008e+06 | 0.98 | 1.03 | <1 | 12 | 14 | 8 |
pglib_opf_case3120sp_k | 3120 | 3693 | 2.0880e+06 | 2.1457e+06 | 0.54 | 0.55 | <1 | 11 | 15 | 6 |
pglib_opf_case3375wp_k | 3375 | 4161 | 7.3170e+06 | 7.4357e+06 | 0.50 | 0.52 | <1 | 14 | 159 | 22 |
pglib_opf_case4661_sdet | 4661 | 5997 | 2.7412e+06 | 2.7858e+06 | 2.26 | 2.35 | <1 | 20 | 29 | 27 |
pglib_opf_case6468_rte | 6468 | 9000 | 2.1619e+06 | 2.2623e+06 | 1.07 | 1.07 | <1 | 97 | 66 | 27 |
pglib_opf_case6470_rte | 6470 | 9005 | 2.4454e+06 | 2.5558e+06 | 1.95 | 1.96 | 2 | 45 | 64 | 24 |
pglib_opf_case6495_rte | 6495 | 9019 | 2.8481e+06 | 3.4777e+06 | 16.73 | 16.75 | 2 | 86 | 49 | 24 |
pglib_opf_case6515_rte | 6515 | 9037 | 2.8484e+06 | 3.1971e+06 | 7.86 | 7.87 | 2 | 70 | 63 | 23 |
pglib_opf_case9241_pegase | 9241 | 16049 | 6.5179e+06 | 6.7747e+06 | 1.99 | 2.84 | 2 | 62 | 118 | 36 |
pglib_opf_case10000_tamu | 10000 | 12706 | 2.4366e+06 | 2.4859e+06 | 0.37 | 0.72 | 2 | 89 | 123 | 38 |
pglib_opf_case13659_pegase | 13659 | 20467 | 1.0565e+07 | 1.0781e+07 | 0.95 | 1.35 | 3 | 95 | 129 | 44 |
Case Name | Nodes | Edges | DC ($/h) | AC ($/h) | QC Gap (%) | SOC Gap (%) | DC Time (sec.) | AC Time (sec.) | QC Time (sec.) | SOC Time (sec.) |
---|---|---|---|---|---|---|---|---|---|---|
pglib_opf_case3_lmbd__api | 3 | 3 | 1.0444e+04 | 1.1242e+04 | 5.63 | 9.32 | <1 | <1 | <1 | <1 |
pglib_opf_case5_pjm__api | 5 | 6 | 7.5433e+04 | 7.6377e+04 | 4.09 | 4.09 | <1 | <1 | <1 | <1 |
pglib_opf_case14_ieee__api | 14 | 20 | 1.1586e+04 | 1.3311e+04 | 1.77 | 1.77 | <1 | <1 | <1 | <1 |
pglib_opf_case24_ieee_rts__api | 24 | 38 | 1.2336e+05 | 1.3495e+05 | 13.01 | 17.87 | <1 | <1 | <1 | <1 |
pglib_opf_case30_as__api | 30 | 41 | 3.0921e+03 | 4.9962e+03 | 44.61 | 44.61 | <1 | <1 | <1 | <1 |
pglib_opf_case30_fsr__api | 30 | 41 | 6.7254e+02 | 7.0115e+02 | 2.76 | 2.76 | <1 | <1 | <1 | <1 |
pglib_opf_case30_ieee__api | 30 | 41 | 2.1698e+04 | 2.4032e+04 | 3.73 | 3.73 | <1 | <1 | <1 | <1 |
pglib_opf_case39_epri__api | 39 | 46 | 2.5216e+05 | 2.5721e+05 | 1.57 | 1.60 | <1 | <1 | <1 | <1 |
pglib_opf_case57_ieee__api | 57 | 80 | 5.7032e+04 | 5.9274e+04 | 0.08 | 0.08 | <1 | <1 | <1 | <1 |
pglib_opf_case73_ieee_rts__api | 73 | 120 | 3.6238e+05 | 4.2273e+05 | 11.07 | 12.89 | <1 | <1 | <1 | <1 |
pglib_opf_case89_pegase__api | 89 | 210 | 1.2974e+05 | 1.4198e+05 | 8.13 | 8.14 | <1 | <1 | <1 | <1 |
pglib_opf_case118_ieee__api | 118 | 186 | 2.9247e+05 | 3.1642e+05 | 28.63 | 28.70 | <1 | <1 | <1 | <1 |
pglib_opf_case162_ieee_dtc__api | 162 | 284 | 1.3016e+05 | 1.4351e+05 | 5.44 | 5.49 | <1 | <1 | <1 | <1 |
pglib_opf_case179_goc__api | 179 | 263 | 2.0801e+06 | 2.1326e+06 | 7.18 | 12.02 | <1 | 2 | 2 | <1 |
pglib_opf_case200_tamu__api | 200 | 245 | 3.7111e+04 | 3.7694e+04 | 0.02 | 0.02 | <1 | <1 | <1 | <1 |
pglib_opf_case240_pserc__api | 240 | 448 | 5.3109e+06 | 5.3917e+06 | 0.80 | 0.83 | <1 | 5 | 6 | 2 |
pglib_opf_case300_ieee__api | 300 | 411 | 7.3994e+05 | 7.7549e+05 | 0.88 | 0.95 | <1 | <1 | 2 | <1 |
pglib_opf_case500_tamu__api | 500 | 597 | 3.8864e+04 | 4.0343e+04 | 0.08 | 0.08 | <1 | 2 | 2 | <1 |
pglib_opf_case588_sdet__api | 588 | 686 | 4.9162e+05 | 4.9964e+05 | 0.93 | 1.17 | <1 | 2 | 2 | <1 |
pglib_opf_case1354_pegase__api | 1354 | 1991 | 1.6604e+06 | 1.7187e+06 | 0.85 | 0.86 | <1 | 6 | 10 | 3 |
pglib_opf_case1888_rte__api | 1888 | 2531 | 2.2014e+06 | 2.2625e+06 | 0.29 | 0.29 | <1 | 10 | 17 | 6 |
pglib_opf_case1951_rte__api | 1951 | 2596 | 2.7694e+06 | 2.8658e+06 | 0.44 | 0.47 | <1 | 11 | 9 | 5 |
pglib_opf_case2000_tamu__api | 2000 | 3206 | 1.2563e+06 | 1.2883e+06 | 2.47 | 2.49 | <1 | 18 | 11 | 3 |
pglib_opf_case2316_sdet__api | 2316 | 3017 | 2.7281e+06 | 2.7745e+06 | 1.96 | 1.96 | <1 | 9 | 12 | 4 |
pglib_opf_case2383wp_k__api | 2383 | 2896 | 2.7913e+05 | 2.7913e+05 | 0.01 | 0.01 | <1 | 3 | 3 | <1 |
pglib_opf_case2736sp_k__api | 2736 | 3504 | 5.8612e+05 | 6.2604e+05 | 12.97 | 12.98 | <1 | 9 | 10 | 3 |
pglib_opf_case2737sop_k__api | 2737 | 3506 | 3.4557e+05 | 3.5871e+05 | 3.67 | 3.67 | <1 | 8 | 4 | 2 |
pglib_opf_case2746wop_k__api | 2746 | 3514 | 5.1166e+05 | 5.1166e+05 | 0.01 | 0.01 | <1 | 4 | 4 | 2 |
pglib_opf_case2746wp_k__api | 2746 | 3514 | 5.8183e+05 | 5.8183e+05 | 0.01 | 0.00 | <1 | 5 | 5 | 2 |
pglib_opf_case2848_rte__api | 2848 | 3776 | 1.6698e+06 | 1.7094e+06 | 0.22 | 0.22 | <1 | 32 | 15 | 8 |
pglib_opf_case2853_sdet__api | 2853 | 3921 | 2.9598e+06 | 2.9950e+06 | 2.31 | 2.36 | <1 | 14 | 15 | 7 |
pglib_opf_case2868_rte__api | 2868 | 3808 | 2.6809e+06 | 2.7669e+06 | 0.18 | 0.19 | <1 | 33 | 22 | 6 |
pglib_opf_case2869_pegase__api | 2869 | 4582 | 3.1794e+06 | 3.2878e+06 | 1.32 | 1.32 | <1 | 15 | 20 | 8 |
pglib_opf_case3012wp_k__api | 3012 | 3572 | 7.2887e+05 | 7.2887e+05 | 0.00 | 0.00 | <1 | 5 | 6 | 2 |
pglib_opf_case3120sp_k__api | 3120 | 3693 | 9.0936e+05 | 9.6963e+05 | 24.15 | 24.18 | <1 | 15 | 14 | 4 |
pglib_opf_case3375wp_k__api | 3375 | 4161 | 5.7641e+06 | 5.8861e+06 | 9.46 | -- | <1 | 14 | 20 | 248 |
pglib_opf_case4661_sdet__api | 4661 | 5997 | 3.2725e+06 | 3.3429e+06 | 2.17 | 2.27 | <1 | 21 | 32 | 134 |
pglib_opf_case6468_rte__api | 6468 | 9000 | 2.6154e+06 | 2.7179e+06 | 0.41 | 0.42 | <1 | 78 | 62 | 31 |
pglib_opf_case6470_rte__api | 6470 | 9005 | 3.0479e+06 | 3.1769e+06 | 0.77 | 0.78 | 2 | 56 | 41 | 22 |
pglib_opf_case6495_rte__api | 6495 | 9019 | 3.5653e+06 | 3.8236e+06 | 4.13 | 4.18 | 2 | 66 | 64 | 26 |
pglib_opf_case6515_rte__api | 6515 | 9037 | 3.4761e+06 | 3.7086e+06 | 2.76 | 2.83 | 2 | 72 | 53 | 190 |
pglib_opf_case9241_pegase__api | 9241 | 16049 | 7.8361e+06 | 8.1143e+06 | 2.17 | 3.04 | 2 | 161 | 112 | 840 |
pglib_opf_case10000_tamu__api | 10000 | 12706 | 1.7660e+06 | 1.8164e+06 | 7.26 | 7.93 | 5 | 137 | 124 | 37 |
pglib_opf_case13659_pegase__api | 13659 | 20467 | 1.0956e+07 | 1.1280e+07 | 1.23 | 1.92 | 3 | 79 | 121 | 57 |
Case Name | Nodes | Edges | DC ($/h) | AC ($/h) | QC Gap (%) | SOC Gap (%) | DC Time (sec.) | AC Time (sec.) | QC Time (sec.) | SOC Time (sec.) |
---|---|---|---|---|---|---|---|---|---|---|
pglib_opf_case3_lmbd__sad | 3 | 3 | 5.8560e+03 | 5.9593e+03 | 1.42 | 3.75 | <1 | <1 | <1 | <1 |
pglib_opf_case5_pjm__sad | 5 | 6 | inf. | 2.6115e+04 | 0.99 | 3.62 | <1 | <1 | <1 | <1 |
pglib_opf_case14_ieee__sad | 14 | 20 | inf. | 6.7834e+03 | 7.16 | 7.21 | <1 | <1 | <1 | <1 |
pglib_opf_case24_ieee_rts__sad | 24 | 38 | 7.8163e+04 | 7.6943e+04 | 2.93 | 9.56 | <1 | <1 | <1 | <1 |
pglib_opf_case30_as__sad | 30 | 41 | inf. | 8.9749e+02 | 2.32 | 7.88 | <1 | <1 | <1 | <1 |
pglib_opf_case30_fsr__sad | 30 | 41 | inf. | 5.7679e+02 | 0.41 | 0.47 | <1 | <1 | <1 | <1 |
pglib_opf_case30_ieee__sad | 30 | 41 | inf. | 1.1974e+04 | 3.42 | 5.65 | <1 | <1 | <1 | <1 |
pglib_opf_case39_epri__sad | 39 | 46 | 1.5470e+05 | 1.5246e+05 | 0.20 | 0.60 | <1 | <1 | <1 | <1 |
pglib_opf_case57_ieee__sad | 57 | 80 | inf. | 4.5208e+04 | 0.83 | 1.79 | <1 | <1 | <1 | <1 |
pglib_opf_case73_ieee_rts__sad | 73 | 120 | 2.3291e+05 | 2.2775e+05 | 2.54 | 6.75 | <1 | <1 | <1 | <1 |
pglib_opf_case89_pegase__sad | 89 | 210 | inf. | 1.1657e+05 | 0.82 | 0.86 | <1 | <1 | <1 | <1 |
pglib_opf_case118_ieee__sad | 118 | 186 | inf. | 1.2924e+05 | 9.48 | 11.53 | <1 | <1 | <1 | <1 |
pglib_opf_case162_ieee_dtc__sad | 162 | 284 | 1.2549e+05 | 1.2704e+05 | 8.02 | 8.32 | <1 | <1 | <1 | <1 |
pglib_opf_case179_goc__sad | 179 | 263 | inf. | 8.3560e+05 | 1.05 | 1.13 | <1 | <1 | <1 | <1 |
pglib_opf_case200_tamu__sad | 200 | 245 | inf. | 2.7558e+04 | 0.01 | 0.01 | <1 | <1 | <1 | <1 |
pglib_opf_case240_pserc__sad | 240 | 448 | inf. | 3.6565e+06 | 5.24 | 6.19 | <1 | 4 | 4 | 2 |
pglib_opf_case300_ieee__sad | 300 | 411 | 6.0726e+05 | 6.6431e+05 | 2.36 | 2.52 | <1 | <1 | <1 | <1 |
pglib_opf_case500_tamu__sad | 500 | 597 | inf. | 7.9234e+04 | 7.90 | 7.92 | <1 | 2 | 2 | <1 |
pglib_opf_case588_sdet__sad | 588 | 686 | inf. | 4.0427e+05 | 6.26 | 6.93 | <1 | 2 | 2 | <1 |
pglib_opf_case1354_pegase__sad | 1354 | 1991 | inf. | 1.3646e+06 | 2.37 | 2.45 | <1 | 6 | 6 | 3 |
pglib_opf_case1888_rte__sad | 1888 | 2531 | 1.5123e+06 | 1.5806e+06 | 2.73 | 2.74 | <1 | 16 | 9 | 5 |
pglib_opf_case1951_rte__sad | 1951 | 2596 | inf. | 2.3830e+06 | 0.41 | 0.45 | 2 | 25 | 9 | 5 |
pglib_opf_case2000_tamu__sad | 2000 | 3206 | inf. | 1.2303e+06 | 0.33 | 0.35 | 2 | 12 | 10 | 3 |
pglib_opf_case2316_sdet__sad | 2316 | 3017 | inf. | 2.2567e+06 | 2.18 | 2.22 | <1 | 8 | 11 | 5 |
pglib_opf_case2383wp_k__sad | 2383 | 2896 | inf. | 1.9165e+06 | 2.16 | 3.13 | 2 | 11 | 10 | 6 |
pglib_opf_case2736sp_k__sad | 2736 | 3504 | inf. | 1.3294e+06 | 1.53 | 1.80 | 2 | 10 | 10 | 5 |
pglib_opf_case2737sop_k__sad | 2737 | 3506 | inf. | 7.9268e+05 | 1.93 | 2.10 | 2 | 9 | 9 | 4 |
pglib_opf_case2746wop_k__sad | 2746 | 3514 | inf. | 1.2344e+06 | 2.00 | 2.37 | 2 | 8 | 8 | 4 |
pglib_opf_case2746wp_k__sad | 2746 | 3514 | inf. | 1.6674e+06 | 1.68 | 2.21 | 2 | 9 | 9 | 5 |
pglib_opf_case2848_rte__sad | 2848 | 3776 | inf. | 1.3880e+06 | 0.28 | 0.30 | 2 | 22 | 14 | 6 |
pglib_opf_case2853_sdet__sad | 2853 | 3921 | inf. | 2.4945e+06 | 2.39 | 2.46 | 4 | 11 | 13 | 8 |
pglib_opf_case2868_rte__sad | 2868 | 3808 | inf. | 2.2718e+06 | 0.54 | 0.58 | 2 | 21 | 14 | 6 |
pglib_opf_case2869_pegase__sad | 2869 | 4582 | inf. | 2.6204e+06 | 1.41 | 1.50 | 4 | 15 | 26 | 8 |
pglib_opf_case3012wp_k__sad | 3012 | 3572 | inf. | 2.6213e+06 | 1.41 | 1.62 | 3 | 13 | 14 | 6 |
pglib_opf_case3120sp_k__sad | 3120 | 3693 | inf. | 2.1755e+06 | 1.42 | 1.61 | 4 | 15 | 16 | 7 |
pglib_opf_case3375wp_k__sad | 3375 | 4161 | 7.3197e+06 | 7.4357e+06 | 0.47 | 0.52 | <1 | 14 | 52 | 60 |
pglib_opf_case4661_sdet__sad | 4661 | 5997 | inf. | 2.8017e+06 | 2.31 | 2.51 | 3 | 21 | 27 | 78 |
pglib_opf_case6468_rte__sad | 6468 | 9000 | 2.1619e+06 | 2.2623e+06 | 1.05 | 1.06 | <1 | 91 | 95 | 28 |
pglib_opf_case6470_rte__sad | 6470 | 9005 | 2.4483e+06 | 2.5597e+06 | 2.03 | 2.08 | 2 | 46 | 46 | 22 |
pglib_opf_case6495_rte__sad | 6495 | 9019 | 2.8482e+06 | 3.4777e+06 | 16.63 | 16.75 | 2 | 83 | 54 | 23 |
pglib_opf_case6515_rte__sad | 6515 | 9037 | 2.8486e+06 | 3.2679e+06 | 9.82 | 9.87 | 2 | 75 | 52 | 22 |
pglib_opf_case9241_pegase__sad | 9241 | 16049 | inf. | 6.9198e+06 | 3.52 | 3.59 | 11 | 66 | 109 | 36 |
pglib_opf_case10000_tamu__sad | 10000 | 12706 | 2.4366e+06 | 2.4859e+06 | 0.36 | 0.72 | 2 | 79 | 92 | 36 |
pglib_opf_case13659_pegase__sad | 13659 | 20467 | inf. | 1.0903e+07 | 1.72 | 1.75 | 13 | 85 | 138 | 73 |