diff --git a/qiskit_experiments/library/randomized_benchmarking/clifford_data.py b/qiskit_experiments/library/randomized_benchmarking/clifford_data.py
deleted file mode 100644
index 0af1f6db42..0000000000
--- a/qiskit_experiments/library/randomized_benchmarking/clifford_data.py
+++ /dev/null
@@ -1,28 +0,0 @@
-# This code is part of Qiskit.
-#
-# (C) Copyright IBM 2021.
-#
-# This code is licensed under the Apache License, Version 2.0. You may
-# obtain a copy of this license in the LICENSE.txt file in the root directory
-# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
-#
-# Any modifications or derivative works of this code must retain this
-# copyright notice, and modified files need to carry a notice indicating
-# that they have been altered from the originals.
-"""
-Clifford data.
-"""
-
-# fmt: off
-# pylint: skip-file
-
-CLIFF_SINGLE_GATE_MAP_1Q = {('id', '[0]'): 0, ('h', '[0]'): 1, ('sxdg', '[0]'): 2, ('s', '[0]'): 4, ('x', '[0]'): 6, ('sx', '[0]'): 8, ('y', '[0]'): 12, ('z', '[0]'): 18, ('sdg', '[0]'): 22}
-CLIFF_SINGLE_GATE_MAP_2Q = {('id', '[0]'): 0, ('id', '[1]'): 0, ('h', '[0]'): 1, ('h', '[1]'): 2, ('sxdg', '[0]'): 4, ('sxdg', '[1]'): 12, ('s', '[0]'): 8, ('s', '[1]'): 24, ('x', '[0]'): 36, ('x', '[1]'): 144, ('sx', '[0]'): 40, ('sx', '[1]'): 156, ('y', '[0]'): 72, ('y', '[1]'): 288, ('z', '[0]'): 108, ('z', '[1]'): 432, ('sdg', '[0]'): 116, ('sdg', '[1]'): 456, ('cx', '[0, 1]'): 576, ('cx', '[1, 0]'): 851, ('cz', '[0, 1]'): 806}
-CLIFF_COMPOSE_DATA_1Q = [0,1,2,4,6,8,12,18,22,1,0,3,5,7,9,13,19,23,2,23,6,15,8,0,14,20,9,3,22,7,14,9,1,15,21,8,4,9,17,18,10,23,16,22,0,5,8,16,19,11,22,17,23,1,6,19,8,16,0,2,18,12,10,7,18,9,17,1,3,19,13,11,8,5,0,3,2,6,20,14,21,9,4,1,2,3,7,21,15,20,10,15,23,6,4,17,22,16,12,11,14,22,7,5,16,23,17,13,12,13,20,10,18,14,0,6,16,13,12,21,11,19,15,1,7,17,14,11,12,21,20,18,2,8,3,15,10,13,20,21,19,3,9,2,16,21,11,12,22,5,4,10,6,17,20,10,13,23,4,5,11,7,18,7,14,22,12,20,6,0,4,19,6,15,23,13,21,7,1,5,20,17,18,9,14,12,8,2,15,21,16,19,8,15,13,9,3,14,22,3,5,0,16,11,10,4,18,23,2,4,1,17,10,11,5,19,]
-CLIFF_INVERSE_DATA_1Q = [0,1,8,5,22,3,6,19,2,23,10,15,12,13,14,11,16,21,18,7,20,17,4,9,]
-CLIFF_COMPOSE_DATA_2Q = 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,3272,2256,4030,4851,8100,8132,1977,1977,2941,4139,2221,5219,2581,2735,2301,681,1897,3923,2625,4569,2949,3273,2257,4031,4850,8101,8133,1978,1978,2942,4136,2222,5216,2582,2732,2302,682,1898,3920,2626,4570,2950,3274,2258,4028,4849,8102,8134,1979,1979,2943,4137,2223,5217,2583,2733,2303,683,1899,3921,2627,4571,2951,3275,2259,4029,4848,8103,8135,1980,1980,2024,696,2060,804,1988,588,2304,684,2384,2100,2628,4572,2952,3276,2960,4476,2122,9772,1894,1981,1981,2025,697,2061,805,1989,589,2305,685,2385,2101,2629,4573,2953,3277,2961,4477,2123,9773,1895,1982,1982,2026,698,2062,806,1990,590,2306,686,2386,2102,2630,4574,2954,3278,2962,4478,2120,9774,1892,1983,1983,2027,699,2063,807,1991,591,2307,687,2387,2103,2631,4575,2955,3279,2963,4479,2121,9775,1893,1984,1984,5585,700,4973,808,5225,592,2308,688,4649,2104,2632,4576,2956,3280,4901,4480,4063,7176,1243,1985,1985,5584,701,4972,809,5224,593,2309,689,4648,2105,2633,4577,2957,3281,4900,4481,4062,7177,1242,1986,1986,5587,702,4975,810,5227,594,2310,690,4651,2106,2634,4578,2958,3282,4903,4482,4061,7178,1241,1987,1987,5586,703,4974,811,5226,595,2311,691,4650,2107,2635,4579,2959,3283,4902,4483,4060,7179,1240,1988,1988,2340,704,2700,812,2952,596,2312,692,3024,2108,2636,4580,2960,3284,1980,4484,3086,6861,2858,1989,1989,2341,705,2701,813,2953,597,2313,693,3025,2109,2637,4581,2961,3285,1981,4485,3087,6860,2859,1990,1990,2342,706,2702,814,2954,598,2314,694,3026,2110,2638,4582,2962,3286,1982,4486,3084,6863,2856,1991,1991,2343,707,2703,815,2955,599,2315,695,3027,2111,2639,4583,2963,3287,1983,4487,3085,6862,2857,1992,1992,2036,3276,2072,4680,2000,1872,2316,696,2396,3384,2640,4584,2964,3288,2972,3168,2098,7492,1904,1993,1993,2037,3277,2073,4681,2001,1873,2317,697,2397,3385,2641,4585,2965,3289,2973,3169,2099,7493,1905,1994,1994,2038,3278,2074,4682,2002,1874,2318,698,2398,3386,2642,4586,2966,3290,2974,3170,2096,7494,1906,1995,1995,2039,3279,2075,4683,2003,1875,2319,699,2399,3387,2643,4587,2967,3291,2975,3171,2097,7495,1907,1996,1996,5597,3280,4985,4684,5237,1876,2320,700,4661,3388,2644,4588,2968,3292,4913,3172,4039,10080,1253,1997,1997,5596,3281,4984,4685,5236,1877,2321,701,4660,3389,2645,4589,2969,3293,4912,3173,4038,10081,1252,1998,1998,5599,3282,4987,4686,5239,1878,2322,702,4663,3390,2646,4590,2970,3294,4915,3174,4037,10082,1255,1999,1999,5598,3283,4986,4687,5238,1879,2323,703,4662,3391,2647,4591,2971,3295,4914,3175,4036,10083,1254,2000,2000,2352,3284,2712,4688,2964,1880,2324,704,3036,3392,2648,4592,2972,3296,1992,3176,3062,9117,2868,2001,2001,2353,3285,2713,4689,2965,1881,2325,705,3037,3393,2649,4593,2973,3297,1993,3177,3063,9116,2869,2002,2002,2354,3286,2714,4690,2966,1882,2326,706,3038,3394,2650,4594,2974,3298,1994,3178,3060,9119,2870,2003,2003,2355,3287,2715,4691,2967,1883,2327,707,3039,3395,2651,4595,2975,3299,1995,3179,3061,9118,2871,2004,2004,2048,5570,2084,3086,2012,4166,2328,708,2408,1790,2652,4596,2976,3300,2984,2870,2108,7842,1882,2005,2005,2049,5571,2085,3087,2013,4167,2329,709,2409,1791,2653,4597,2977,3301,2985,2871,2109,7843,1883,2006,2006,2050,5568,2086,3084,2014,4164,2330,710,2410,1788,2654,4598,2978,3302,2986,2868,2110,7840,1880,2007,2007,2051,5569,2087,3085,2015,4165,2331,711,2411,1789,2655,4599,2979,3303,2987,2869,2111,7841,1881,2008,2008,5609,5574,4997,3090,5249,4170,2332,712,4673,1794,2656,4600,2980,3304,4925,2874,4049,10430,1231,2009,2009,5608,5575,4996,3091,5248,4171,2333,713,4672,1795,2657,4601,2981,3305,4924,2875,4048,10431,1230,2010,2010,5611,5572,4999,3088,5251,4168,2334,714,4675,1792,2658,4602,2982,3306,4927,2872,4051,10428,1229,2011,2011,5610,5573,4998,3089,5250,4169,2335,715,4674,1793,2659,4603,2983,3307,4926,2873,4050,10429,1228,2012,2012,2364,5578,2724,3094,2976,4174,2336,716,3048,1798,2660,4604,2984,3308,2004,2878,3072,8819,2846,2013,2013,2365,5579,2725,3095,2977,4175,2337,717,3049,1799,2661,4605,2985,3309,2005,2879,3073,8818,2847,2014,2014,2366,5576,2726,3092,2978,4172,2338,718,3050,1796,2662,4606,2986,3310,2006,2876,3074,8817,2844,2015,2015,2367,5577,2727,3093,2979,4173,2339,719,3051,1797,2663,4607,2987,3311,2007,2877,3075,8816,2845,2016,2016,2960,732,2348,840,2708,624,2340,720,2024,2136,2664,4608,2988,3312,2384,4512,6260,1930,8195,2017,2017,2961,733,2349,841,2709,625,2341,721,2025,2137,2665,4609,2989,3313,2385,4513,6261,1931,8194,2018,2018,2962,734,2350,842,2710,626,2342,722,2026,2138,2666,4610,2990,3314,2386,4514,6262,1928,8193,2019,2019,2963,735,2351,843,2711,627,2343,723,2027,2139,2667,4611,2991,3315,2387,4515,6263,1929,8192,2020,2020,4901,736,5261,844,5621,628,2344,724,5585,2140,2668,4612,2992,3316,4649,4516,9821,1603,8187,2021,2021,4900,737,5260,845,5620,629,2345,725,5584,2141,2669,4613,2993,3317,4648,4517,9820,1602,8186,2022,2022,4903,738,5263,846,5623,630,2346,726,5587,2142,2670,4614,2994,3318,4651,4518,9823,1601,8185,2023,2023,4902,739,5262,847,5622,631,2347,727,5586,2143,2671,4615,2995,3319,4650,4519,9822,1600,8184,2024,2024,1980,740,2016,848,2052,632,2348,728,2340,2144,2672,4616,2996,3320,3024,4520,7224,2246,8190,2025,2025,1981,741,2017,849,2053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53,9104,9072,2269,2269,2601,5089,2853,2281,2241,3685,1945,973,2529,985,2917,4861,2593,3565,2565,2389,952,9105,9073,2270,2270,2602,5090,2854,2282,2242,3686,1946,974,2530,986,2918,4862,2594,3566,2566,2390,955,9106,9074,2271,2271,2603,5091,2855,2283,2243,3687,1947,975,2531,987,2919,4863,2595,3567,2567,2391,954,9107,9075,2272,2272,1625,5092,905,2284,1265,3688,1948,976,581,988,2920,4864,2596,3568,941,2392,956,5861,9076,2273,2273,1624,5093,904,2285,1264,3689,1949,977,580,989,2921,4865,2597,3569,940,2393,957,5860,9077,2274,2274,1627,5094,907,2286,1267,3690,1950,978,583,990,2922,4866,2598,3570,943,2394,958,5863,9078,2275,2275,1626,5095,906,2287,1266,3691,1951,979,582,991,2923,4867,2599,3571,942,2395,959,5862,9079,2276,2276,1944,5096,1872,2288,1908,3692,1952,980,2196,992,2924,4868,2600,3572,2880,2396,949,7152,9080,2277,2277,1945,5097,1873,2289,1909,3693,1953,981,2197,993,2925,4869,2601,3573,2881,2397,948,7153,9081,2278,2278,1946,5098,1874,2290,1910,3694,1954,982,2198,994,2926,4870,2602,3574,2882,2398,951,7154,9082,2279,2279,1947,5099,1875,2291,1911,3695,1955,983,2199,995,2927,4871,2603,3575,2883,2399,950,7155,9083,2280,2280,2612,1188,2864,972,2252,1080,1956,984,2540,2268,2928,4872,2604,3576,2576,4968,2237,10714,9084,2281,2281,2613,1189,2865,973,2253,1081,1957,985,2541,2269,2929,4873,2605,3577,2577,4969,2236,10715,9085,2282,2282,2614,1190,2866,974,2254,1082,1958,986,2542,2270,2930,4874,2606,3578,2578,4970,2239,10712,9086,2283,2283,2615,1191,2867,975,2255,1083,1959,987,2543,2271,2931,4875,2607,3579,2579,4971,2238,10713,9087,2284,2284,1637,1192,917,976,1277,1084,1960,988,593,2272,2932,4876,2608,3580,953,4972,2240,7471,9088,2285,2285,1636,1193,916,977,1276,1085,1961,989,592,2273,2933,4877,2609,3581,952,4973,2241,7470,9089,2286,2286,1639,1194,919,978,1279,1086,1962,990,595,2274,2934,4878,2610,3582,955,4974,2242,7469,9090,2287,2287,1638,1195,918,979,1278,1087,1963,991,594,2275,2935,4879,2611,3583,954,4975,2243,7468,9091,2288,2288,1956,1196,1884,980,1920,1088,1964,992,2208,2276,2936,4880,2612,3584,2892,4976,2233,6170,9092,2289,2289,1957,1197,1885,981,1921,1089,1965,993,2209,2277,2937,4881,2613,3585,2893,4977,2232,6171,9093,2290,2290,1958,1198,1886,982,1922,1090,1966,994,2210,2278,2938,4882,2614,3586,2894,4978,2235,6168,9094,2291,2291,1959,1199,1887,983,1923,1091,1967,995,2211,2279,2939,4883,2615,3587,2895,4979,2234,6169,9095,2292,2292,2624,4454,2876,5534,2264,3050,1968,996,2552,4238,2940,4884,2616,3588,2588,4346,3235,8432,9096,2293,2293,2625,4455,2877,5535,2265,3051,1969,997,2553,4239,2941,4885,2617,3589,2589,4347,3234,8433,9097,2294,2294,2626,4452,2878,5532,2266,3048,1970,998,2554,4236,2942,4886,2618,3590,2590,4344,3233,8434,9098,2295,2295,2627,4453,2879,5533,2267,3049,1971,999,2555,4237,2943,4887,2619,3591,2591,4345,3232,8435,9099,2296,2296,1649,4458,929,5538,1289,3054,1972,1000,605,4242,2944,4888,2620,3592,965,4350,3238,6485,9100,2297,2297,1648,4459,928,5539,1288,3055,1973,1001,604,4243,2945,4889,2621,3593,964,4351,3239,6484,9101,2298,2298,1651,4456,931,5536,1291,3052,1974,1002,607,4240,2946,4890,2622,3594,967,4348,3236,6487,9102,2299,2299,1650,4457,930,5537,1290,3053,1975,1003,606,4241,2947,4891,2623,3595,966,4349,3237,6486,9103,2300,2300,1968,4462,1896,5542,1932,3058,1976,1004,2220,4246,2948,4892,2624,3596,2904,4354,3231,7776,9104,2301,2301,1969,4463,1897,5543,1933,3059,1977,1005,2221,4247,2949,4893,2625,3597,2905,4355,3230,7777,9105,2302,2302,1970,4460,1898,5540,1934,3056,1978,1006,2222,4244,2950,4894,2626,3598,2906,4352,3229,7778,9106,2303,2303,1971,4461,1899,5541,1935,3057,1979,1007,2223,4245,2951,4895,2627,3599,2907,4353,3228,7779,9107,2304,2304,2996,1020,2384,1128,2636,912,1980,1008,2060,2424,2952,4896,2628,3600,2312,4800,1150,10096,3514,2305,2305,2997,1021,2385,1129,2637,913,1981,1009,2061,2425,2953,4897,2629,3601,2313,4801,1151,10097,3515,2306,2306,2998,1022,2386,1130,2638,914,1982,1010,2062,2426,2954,4898,2630,3602,2314,4802,1148,10098,3512,2307,2307,2999,1023,2387,1131,2639,915,1983,1011,2063,2427,2955,4899,2631,3603,2315,4803,1149,10099,3513,2308,2308,4613,1024,4649,1132,4577,916,1984,1012,4973,2428,2956,4900,2632,3604,5549,4804,5683,7500,5455,2309,2309,4612,1025,4648,1133,4576,917,1985,1013,4972,2429,2957,4901,2633,3605,5548,4805,5682,7501,5454,2310,2310,4615,1026,4651,1134,4579,918,1986,1014,4975,2430,2958,4902,2634,3606,5551,4806,5681,7502,5453,2311,2311,4614,1027,4650,1135,4578,919,1987,1015,4974,2431,2959,4903,2635,3607,5550,4807,5680,7503,5452,2312,2312,2664,1028,3024,1136,2304,920,1988,1016,2700,2432,2960,4904,2636,3608,2628,4808,1466,6537,3830,2313,2313,2665,1029,3025,1137,2305,921,1989,1017,2701,2433,2961,4905,2637,3609,2629,4809,1467,6536,3831,2314,2314,2666,1030,3026,1138,2306,922,1990,1018,2702,2434,2962,4906,2638,3610,2630,4810,1464,6539,3828,2315,2315,2667,1031,3027,1139,2307,923,1991,1019,2703,2435,2963,4907,2639,3611,2631,4811,1465,6538,3829,2316,2316,3008,3600,2396,5004,2648,2196,1992,1020,2072,3708,2964,4908,2640,3612,2324,3492,1126,7168,3524,2317,2317,3009,3601,2397,5005,2649,2197,1993,1021,2073,3709,2965,4909,2641,3613,2325,3493,1127,7169,3525,2318,2318,3010,3602,2398,5006,2650,2198,1994,1022,2074,3710,2966,4910,2642,3614,2326,3494,1124,7170,3526,2319,2319,3011,3603,2399,5007,2651,2199,1995,1023,2075,3711,2967,4911,2643,3615,2327,3495,1125,7171,3527,2320,2320,4625,3604,4661,5008,4589,2200,1996,1024,4985,3712,2968,4912,2644,3616,5561,3496,5659,9756,5465,2321,2321,4624,3605,4660,5009,4588,2201,1997,1025,4984,3713,2969,4913,2645,3617,5560,3497,5658,9757,5464,2322,2322,4627,3606,4663,5010,4591,2202,1998,1026,4987,3714,2970,4914,2646,3618,5563,3498,5657,9758,5467,2323,2323,4626,3607,4662,5011,4590,2203,1999,1027,4986,3715,2971,4915,2647,3619,5562,3499,5656,9759,5466,2324,2324,2676,3608,3036,5012,2316,2204,2000,1028,2712,3716,2972,4916,2648,3620,2640,3500,1442,9441,3840,2325,2325,2677,3609,3037,5013,2317,2205,2001,1029,2713,3717,2973,4917,2649,3621,2641,3501,1443,9440,3841,2326,2326,2678,3610,3038,5014,2318,2206,2002,1030,2714,3718,2974,4918,2650,3622,2642,3502,1440,9443,3842,2327,2327,2679,3611,3039,5015,2319,2207,2003,1031,2715,3719,2975,4919,2651,3623,2643,3503,1441,9442,3843,2328,2328,3020,5246,2408,2762,2660,3842,2004,1032,2084,1466,2976,4920,2652,3624,2336,2546,1136,8166,3502,2329,2329,3021,5247,2409,2763,2661,3843,2005,1033,2085,1467,2977,4921,2653,3625,2337,2547,1137,8167,3503,2330,2330,3022,5244,2410,2760,2662,3840,2006,1034,2086,1464,2978,4922,2654,3626,2338,2544,1138,8164,3500,2331,2331,3023,5245,2411,2761,2663,3841,2007,1035,2087,1465,2979,4923,2655,3627,2339,2545,1139,8165,3501,2332,2332,4637,5250,4673,2766,4601,3846,2008,1036,4997,1470,2980,4924,2656,3628,5573,2550,5669,10754,5443,2333,2333,4636,5251,4672,2767,4600,3847,2009,1037,4996,1471,2981,4925,2657,3629,5572,2551,5668,10755,5442,2334,2334,4639,5248,4675,2764,4603,3844,2010,1038,4999,1468,2982,4926,2658,3630,5575,2548,5671,10752,5441,2335,2335,4638,5249,4674,2765,4602,3845,2011,1039,4998,1469,2983,4927,2659,3631,5574,2549,5670,10753,5440,2336,2336,2688,5254,3048,2770,2328,3850,2012,1040,2724,1474,2984,4928,2660,3632,2652,2554,1452,8495,3818,2337,2337,2689,5255,3049,2771,2329,3851,2013,1041,2725,1475,2985,4929,2661,3633,2653,2555,1453,8494,3819,2338,2338,2690,5252,3050,2768,2330,3848,2014,1042,2726,1472,2986,4930,2662,3634,2654,2552,1454,8493,3816,2339,2339,2691,5253,3051,2769,2331,3849,2015,1043,2727,1473,2987,4931,2663,3635,2655,2553,1455,8492,3817,2340,2340,1988,1056,2024,1164,2060,948,2016,1044,2348,2460,2988,4932,2664,3636,3032,4836,7232,2254,9167,2341,2341,1989,1057,2025,1165,2061,949,2017,1045,2349,2461,2989,4933,2665,3637,3033,4837,7233,2255,9166,2342,2342,1990,1058,2026,1166,2062,950,2018,1046,2350,2462,2990,4934,2666,3638,3034,4838,7234,2252,9165,2343,2343,1991,1059,2027,1167,2063,951,2019,1047,2351,2463,2991,4935,2667,3639,3035,4839,7235,2253,9164,2344,2344,5225,1060,5585,1168,4973,952,2020,1048,5261,2464,2992,4936,2668,3640,5297,4840,8849,1279,9159,2345,2345,5224,1061,5584,1169,4972,953,2021,1049,5260,2465,2993,4937,2669,3641,5296,4841,8848,1278,9158,2346,2346,5227,1062,5587,1170,4975,954,2022,1050,5263,2466,2994,4938,2670,3642,5299,4842,8851,1277,9157,2347,2347,5226,1063,5586,1171,4974,955,2023,1051,5262,2467,2995,4939,2671,3643,5298,4843,8850,1276,9156,2348,2348,2952,1064,2340,1172,2700,956,2024,1052,2016,2468,2996,4940,2672,3644,2376,4844,6252,1922,9162,2349,2349,2953,1065,2341,1173,2701,957,2025,1053,2017,2469,2997,4941,2673,3645,2377,4845,6253,1923,9163,2350,2350,2954,1066,2342,1174,2702,958,2026,1054,2018,2470,2998,4942,2674,3646,2378,4846,6254,1920,9160,2351,2351,2955,1067,2343,1175,2703,959,2027,1055,2019,2471,2999,4943,2675,3647,2379,4847,6255,1921,9161,2352,2352,2000,3636,2036,5040,2072,2232,2028,1056,2360,3744,3000,4944,2676,3648,3044,3528,10786,2264,9177,2353,2353,2001,3637,2037,5041,2073,2233,2029,1057,2361,3745,3001,4945,2677,3649,3045,3529,10787,2265,9176,2354,2354,2002,3638,2038,5042,2074,2234,2030,1058,2362,3746,3002,4946,2678,3650,3046,3530,10784,2266,9179,2355,2355,2003,3639,2039,5043,2075,2235,2031,1059,2363,3747,3003,4947,2679,3651,3047,3531,10785,2267,9178,2356,2356,5237,3640,5597,5044,4985,2236,2032,1060,5273,3748,3004,4948,2680,3652,5309,3532,6571,1289,9169,2357,2357,5236,3641,5596,5045,4984,2237,2033,1061,5272,3749,3005,4949,2681,3653,5308,3533,6570,1288,9168,2358,2358,5239,3642,5599,5046,4987,2238,2034,1062,5275,3750,3006,4950,2682,3654,5311,3534,6569,1291,9171,2359,2359,5238,3643,5598,5047,4986,2239,2035,1063,5274,3751,3007,4951,2683,3655,5310,3535,6568,1290,9170,2360,2360,2964,3644,2352,5048,2712,2240,2036,1064,2028,3752,3008,4952,2684,3656,2388,3536,9158,1932,9172,2361,2361,2965,3645,2353,5049,2713,2241,2037,1065,2029,3753,3009,4953,2685,3657,2389,3537,9159,1933,9173,2362,2362,2966,3646,2354,5050,2714,2242,2038,1066,2030,3754,3010,4954,2686,3658,2390,3538,9156,1934,9174,2363,2363,2967,3647,2355,5051,2715,2243,2039,1067,2031,3755,3011,4955,2687,3659,2391,3539,9157,1935,9175,2364,2364,2012,4634,2048,2150,2084,3230,2040,1068,2372,854,3012,4956,2688,3660,3056,1934,7532,2242,9155,2365,2365,2013,4635,2049,2151,2085,3231,2041,1069,2373,855,3013,4957,2689,3661,3057,1935,7533,2243,9154,2366,2366,2014,4632,2050,2148,2086,3228,2042,1070,2374,852,3014,4958,2690,3662,3058,1932,7534,2240,9153,2367,2367,2015,4633,2051,2149,2087,3229,2043,1071,2375,853,3015,4959,2691,3663,3059,1933,7535,2241,9152,2368,2368,5249,4638,5609,2154,4997,3234,2044,1072,5285,858,3016,4960,2692,3664,5321,1938,8501,1267,9147,2369,2369,5248,4639,5608,2155,4996,3235,2045,1073,5284,859,3017,4961,2693,3665,5320,1939,8500,1266,9146,2370,2370,5251,4636,5611,2152,4999,3232,2046,1074,5287,856,3018,4962,2694,3666,5323,1936,8503,1265,9145,2371,2371,5250,4637,5610,2153,4998,3233,2047,1075,5286,857,3019,4963,2695,3667,5322,1937,8502,1264,9144,2372,2372,2976,4642,2364,2158,2724,3238,2048,1076,2040,862,3020,4964,2696,3668,2400,1942,5904,1910,9150,2373,2373,2977,4643,2365,2159,2725,3239,2049,1077,2041,863,3021,4965,2697,3669,2401,1943,5905,1911,9151,2374,2374,2978,4640,2366,2156,2726,3236,2050,1078,2042,860,3022,4966,2698,3670,2402,1940,5906,1908,9148,2375,2375,2979,4641,2367,2157,2727,3237,2051,1079,2043,861,3023,4967,2699,3671,2403,1941,5907,1909,9149,2376,2376,2708,1092,2960,1200,2348,984,2052,1080,2636,2496,3024,4968,2700,3672,2672,4872,6264,7259,6280,2377,2377,2709,1093,2961,1201,2349,985,2053,1081,2637,2497,3025,4969,2701,3673,2673,4873,6265,7258,6281,2378,2378,2710,1094,2962,1202,2350,986,2054,1082,2638,2498,3026,4970,2702,3674,2674,4874,6266,7257,6282,2379,2379,2711,1095,2963,1203,2351,987,2055,1083,2639,2499,3027,4971,2703,3675,2675,4875,6267,7256,6283,2380,2380,5621,1096,4901,1204,5261,988,2056,1084,4577,2500,3028,4972,2704,3676,4937,4876,6268,7251,8868,2381,2381,5620,1097,4900,1205,5260,989,2057,1085,4576,2501,3029,4973,2705,3677,4936,4877,6269,7250,8869,2382,2382,5623,1098,4903,1206,5263,990,2058,1086,4579,2502,3030,4974,2706,3678,4939,4878,6270,7249,8870,2383,2383,5622,1099,4902,1207,5262,991,2059,1087,4578,2503,3031,4975,2707,3679,4938,4879,6271,7248,8871,2384,2384,2052,1100,1980,1208,2016,992,2060,1088,2304,2504,3032,4976,2708,3680,2988,4880,6272,7254,10821,2385,2385,2053,1101,1981,1209,2017,993,2061,1089,2305,2505,3033,4977,2709,3681,2989,4881,6273,7255,10820,2386,2386,2054,1102,1982,1210,2018,994,2062,1090,2306,2506,3034,4978,2710,3682,2990,4882,6274,7252,10823,2387,2387,2055,1103,1983,1211,2019,995,2063,1091,2307,2507,3035,4979,2711,3683,2991,4883,6275,7253,10822,2388,2388,2720,3672,2972,5076,2360,2268,2064,1092,2648,3780,3036,4980,2712,3684,2684,3564,6276,7269,9184,2389,2389,2721,3673,2973,5077,2361,2269,2065,1093,2649,3781,3037,4981,2713,3685,2685,3565,6277,7268,9185,2390,2390,2722,3674,2974,5078,2362,2270,2066,1094,2650,3782,3038,4982,2714,3686,2686,3566,6278,7271,9186,2391,2391,2723,3675,2975,5079,2363,2271,2067,1095,2651,3783,3039,4983,2715,3687,2687,3567,6279,7270,9187,2392,2392,5633,3676,4913,5080,5273,2272,2068,1096,4589,3784,3040,4984,2716,3688,4949,3568,6280,7261,6588,2393,2393,5632,3677,4912,5081,5272,2273,2069,1097,4588,3785,3041,4985,2717,3689,4948,3569,6281,7260,6589,2394,2394,5635,3678,4915,5082,5275,2274,2070,1098,4591,3786,3042,4986,2718,3690,4951,3570,6282,7263,6590,2395,2395,5634,3679,4914,5083,5274,2275,2071,1099,4590,3787,3043,4987,2719,3691,4950,3571,6283,7262,6591,2396,2396,2064,3680,1992,5084,2028,2276,2072,1100,2316,3788,3044,4988,2720,3692,3000,3572,6284,7264,7245,2397,2397,2065,3681,1993,5085,2029,2277,2073,1101,2317,3789,3045,4989,2721,3693,3001,3573,6285,7265,7244,2398,2398,2066,3682,1994,5086,2030,2278,2074,1102,2318,3790,3046,4990,2722,3694,3002,3574,6286,7266,7247,2399,2399,2067,3683,1995,5087,2031,2279,2075,1103,2319,3791,3047,4991,2723,3695,3003,3575,6287,7267,7246,2400,2400,2732,5642,2984,3158,2372,4238,2076,1104,2660,1862,3048,4992,2724,3696,2696,2942,6288,7247,8562,2401,2401,2733,5643,2985,3159,2373,4239,2077,1105,2661,1863,3049,4993,2725,3697,2697,2943,6289,7246,8563,2402,2402,2734,5640,2986,3156,2374,4236,2078,1106,2662,1860,3050,4994,2726,3698,2698,2940,6290,7245,8560,2403,2403,2735,5641,2987,3157,2375,4237,2079,1107,2663,1861,3051,4995,2727,3699,2699,2941,6291,7244,8561,2404,2404,5645,5646,4925,3162,5285,4242,2080,1108,4601,1866,3052,4996,2728,3700,4961,2946,6292,7239,5966,2405,2405,5644,5647,4924,3163,5284,4243,2081,1109,4600,1867,3053,4997,2729,3701,4960,2947,6293,7238,5967,2406,2406,5647,5644,4927,3160,5287,4240,2082,1110,4603,1864,3054,4998,2730,3702,4963,2944,6294,7237,5964,2407,2407,5646,5645,4926,3161,5286,4241,2083,1111,4602,1865,3055,4999,2731,3703,4962,2945,6295,7236,5965,2408,2408,2076,5650,2004,3166,2040,4246,2084,1112,2328,1870,3056,5000,2732,3704,3012,2950,6296,7242,7919,2409,2409,2077,5651,2005,3167,2041,4247,2085,1113,2329,1871,3057,5001,2733,3705,3013,2951,6297,7243,7918,2410,2410,2078,5648,2006,3164,2042,4244,2086,1114,2330,1868,3058,5002,2734,3706,3014,2948,6298,7240,7917,2411,2411,2079,5649,2007,3165,2043,4245,2087,1115,2331,1869,3059,5003,2735,3707,3015,2949,6299,7241,7916,2412,2412,3104,3504,2492,4908,2744,2424,2088,1116,2168,3612,3060,5004,2736,3708,2420,3720,1354,21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,5197,2281,3901,2253,5293,2560,5855,8761,2606,2606,2938,1514,2218,1298,2578,1406,2930,1310,1894,2594,1958,5198,2282,3902,2254,5294,2563,5852,8762,2607,2607,2939,1515,2219,1299,2579,1407,2931,1311,1895,2595,1959,5199,2283,3903,2255,5295,2562,5853,8763,2608,2608,1313,1516,1565,1300,953,1408,2932,1312,1241,2596,1960,5200,2284,3904,1277,5296,2564,9091,8764,2609,2609,1312,1517,1564,1301,952,1409,2933,1313,1240,2597,1961,5201,2285,3905,1276,5297,2565,9090,8765,2610,2610,1315,1518,1567,1302,955,1410,2934,1314,1243,2598,1962,5202,2286,3906,1279,5298,2566,9089,8766,2611,2611,1314,1519,1566,1303,954,1411,2935,1315,1242,2599,1963,5203,2287,3907,1278,5299,2567,9088,8767,2612,2612,2280,1520,2532,1304,2892,1412,2936,1316,2856,2600,1964,5204,2288,3908,1920,5300,2557,10382,8768,2613,2613,2281,1521,2533,1305,2893,1413,2937,1317,2857,2601,1965,5205,2289,3909,1921,5301,2556,10383,8769,2614,2614,2282,1522,2534,1306,2894,1414,2938,1318,2858,2602,1966,5206,2290,3910,1922,5302,2559,10380,8770,2615,2615,2283,1523,2535,1307,2895,1415,2939,1319,2859,2603,1967,5207,2291,3911,1923,5303,2558,10381,8771,2616,2616,2948,3482,2228,4562,2588,2078,2940,1320,1904,3266,1968,5208,2292,3912,2264,3374,4207,8108,8772,2617,2617,2949,3483,2229,4563,2589,2079,2941,1321,1905,3267,1969,5209,2293,3913,2265,3375,4206,8109,8773,2618,2618,2950,3480,2230,4560,2590,2076,2942,1322,1906,3264,1970,5210,2294,3914,2266,3372,4205,8110,8774,2619,2619,2951,3481,2231,4561,2591,2077,2943,1323,1907,3265,1971,5211,2295,3915,2267,3373,4204,8111,8775,2620,2620,1325,3486,1577,4566,965,2082,2944,1324,1253,3270,1972,5212,2296,3916,1289,3378,4210,10049,8776,2621,2621,1324,3487,1576,4567,964,2083,2945,1325,1252,3271,1973,5213,2297,3917,1288,3379,4211,10048,8777,2622,2622,1327,3484,1579,4564,967,2080,2946,1326,1255,3268,1974,5214,2298,3918,1291,3376,4208,10051,8778,2623,2623,1326,3485,1578,4565,966,2081,2947,1327,1254,3269,1975,5215,2299,3919,1290,3377,4209,10050,8779,2624,2624,2292,3490,2544,4570,2904,2086,2948,1328,2868,3274,1976,5216,2300,3920,1932,3382,4203,8748,8780,2625,2625,2293,3491,2545,4571,2905,2087,2949,1329,2869,3275,1977,5217,2301,3921,1933,3383,4202,8749,8781,2626,2626,2294,3488,2546,4568,2906,2084,2950,1330,2870,3272,1978,5218,2302,3922,1934,3380,4201,8750,8782,2627,2627,2295,3489,2547,4569,2907,2085,2951,1331,2871,3273,1979,5219,2303,3923,1935,3381,4200,8751,8783,2628,2628,2672,1344,3032,1452,2312,1236,2952,1332,2708,2748,1980,5220,2304,3924,2636,5124,1474,6532,3838,2629,2629,2673,1345,3033,1453,2313,1237,2953,1333,2709,2749,1981,5221,2305,3925,2637,5125,1475,6533,3839,2630,2630,2674,1346,3034,1454,2314,1238,2954,1334,2710,2750,1982,5222,2306,3926,2638,5126,1472,6534,3836,2631,2631,2675,1347,3035,1455,2315,1239,2955,1335,2711,2751,1983,5223,2307,3927,2639,5127,1473,6535,3837,2632,2632,4937,1348,5297,1456,5549,1240,2956,1336,5621,2752,1984,5224,2308,3928,4577,5128,4711,9120,4483,2633,2633,4936,1349,5296,1457,5548,1241,2957,1337,5620,2753,1985,5225,2309,3929,4576,5129,4710,9121,4482,2634,2634,4939,1350,5299,1458,5551,1242,2958,1338,5623,2754,1986,5226,2310,3930,4579,5130,4709,9122,4481,2635,2635,4938,1351,5298,1459,5550,1243,2959,1339,5622,2755,1987,5227,2311,3931,4578,5131,4708,9123,4480,2636,2636,2988,1352,2376,1460,2628,1244,2960,1340,2052,2756,1988,5228,2312,3932,2304,5132,1142,10101,3506,2637,2637,2989,1353,2377,1461,2629,1245,2961,1341,2053,2757,1989,5229,2313,3933,2305,5133,1143,10100,3507,2638,2638,2990,1354,2378,1462,2630,1246,2962,1342,2054,2758,1990,5230,2314,3934,2306,5134,1140,10103,3504,2639,2639,2991,1355,2379,1463,2631,1247,2963,1343,2055,2759,1991,5231,2315,3935,2307,5135,1141,10102,3505,2640,2640,2684,3924,3044,5328,2324,2520,2964,1344,2720,4032,1992,5232,2316,3936,2648,3816,1450,9436,3848,2641,2641,2685,3925,3045,5329,2325,2521,2965,1345,2721,4033,1993,5233,2317,3937,2649,3817,1451,9437,3849,2642,2642,2686,3926,3046,5330,2326,2522,2966,1346,2722,4034,1994,5234,2318,3938,2650,3818,1448,9438,3850,2643,2643,2687,3927,3047,5331,2327,2523,2967,1347,2723,4035,1995,5235,2319,3939,2651,3819,1449,9439,3851,2644,2644,4949,3928,5309,5332,5561,2524,2968,1348,5633,4036,1996,5236,2320,3940,4589,3820,4687,6840,4493,2645,2645,4948,3929,5308,5333,5560,2525,2969,1349,5632,4037,1997,5237,2321,3941,4588,3821,4686,6841,4492,2646,2646,4951,3930,5311,5334,5563,2526,2970,1350,5635,4038,1998,5238,2322,3942,4591,3822,4685,6842,4495,2647,2647,4950,3931,5310,5335,5562,2527,2971,1351,5634,4039,1999,5239,2323,3943,4590,3823,4684,6843,4494,2648,2648,3000,3932,2388,5336,2640,2528,2972,1352,2064,4040,2000,5240,2324,3944,2316,3824,1118,7173,3516,2649,2649,3001,3933,2389,5337,2641,2529,2973,1353,2065,4041,2001,5241,2325,3945,2317,3825,1119,7172,3517,2650,2650,3002,3934,2390,5338,2642,2530,2974,1354,2066,4042,2002,5242,2326,3946,2318,3826,1116,7175,3518,2651,2651,3003,3935,2391,5339,2643,2531,2975,1355,2067,4043,2003,5243,2327,3947,2319,3827,1117,7174,3519,2652,2652,2696,4922,3056,2438,2336,3518,2976,1356,2732,1142,2004,5244,2328,3948,2660,2222,1460,8490,3826,2653,2653,2697,4923,3057,2439,2337,3519,2977,1357,2733,1143,2005,5245,2329,3949,2661,2223,1461,8491,3827,2654,2654,2698,4920,3058,2436,2338,3516,2978,1358,2734,1140,2006,5246,2330,3950,2662,2220,1462,8488,3824,2655,2655,2699,4921,3059,2437,2339,3517,2979,1359,2735,1141,2007,5247,2331,3951,2663,2221,1463,8489,3825,2656,2656,4961,4926,5321,2442,5573,3522,2980,1360,5645,1146,2008,5248,2332,3952,4601,2226,4697,5894,4471,2657,2657,4960,4927,5320,2443,5572,3523,2981,1361,5644,1147,2009,5249,2333,3953,4600,2227,4696,5895,4470,2658,2658,4963,4924,5323,2440,5575,3520,2982,1362,5647,1144,2010,5250,2334,3954,4603,2224,4699,5892,4469,2659,2659,4962,4925,5322,2441,5574,3521,2983,1363,5646,1145,2011,5251,2335,3955,4602,2225,4698,5893,4468,2660,2660,3012,4930,2400,2446,2652,3526,2984,1364,2076,1150,2012,5252,2336,3956,2328,2230,1128,8171,3494,2661,2661,3013,4931,2401,2447,2653,3527,2985,1365,2077,1151,2013,5253,2337,3957,2329,2231,1129,8170,3495,2662,2662,3014,4928,2402,2444,2654,3524,2986,1366,2078,1148,2014,5254,2338,3958,2330,2228,1130,8169,3492,2663,2663,3015,4929,2403,2445,2655,3525,2987,1367,2079,1149,2015,5255,2339,3959,2331,2229,1131,8168,3493,2664,2664,2312,1380,2672,1488,3032,1272,2988,1368,2996,2784,2016,5256,2340,3960,2060,5160,8204,3874,8843,2665,2665,2313,1381,2673,1489,3033,1273,2989,1369,2997,2785,2017,5257,2341,3961,2061,5161,8205,3875,8842,2666,2666,2314,1382,2674,1490,3034,1274,2990,1370,2998,2786,2018,5258,2342,3962,2062,5162,8206,3872,8841,2667,2667,2315,1383,2675,1491,3035,1275,2991,1371,2999,2787,2019,5259,2343,3963,2063,5163,8207,3873,8840,2668,2668,5549,1384,4937,1492,5297,1276,2992,1372,4613,2788,2020,5260,2344,3964,4973,5164,9173,4843,8835,2669,2669,5548,1385,4936,1493,5296,1277,2993,1373,4612,2789,2021,5261,2345,3965,4972,5165,9172,4842,8834,2670,2670,5551,1386,4939,1494,5299,1278,2994,1374,4615,2790,2022,5262,2346,3966,4975,5166,9175,4841,8833,2671,2671,5550,1387,4938,1495,5298,1279,2995,1375,4614,2791,2023,5263,2347,3967,4974,5167,9174,4840,8832,2672,2672,2628,1388,2988,1496,2376,1280,2996,1376,2664,2792,2024,5264,2348,3968,2700,5168,6576,4190,8838,2673,2673,2629,1389,2989,1497,2377,1281,2997,1377,2665,2793,2025,5265,2349,3969,2701,5169,6577,4191,8839,2674,2674,2630,1390,2990,1498,2378,1282,2998,1378,2666,2794,2026,5266,2350,3970,2702,5170,6578,4188,8836,2675,2675,2631,1391,2991,1499,2379,1283,2999,1379,2667,2795,2027,5267,2351,3971,2703,5171,6579,4189,8837,2676,2676,2324,3960,2684,5364,3044,2556,3000,1380,3008,4068,2028,5268,2352,3972,2072,3852,9814,3884,8853,2677,2677,2325,3961,2685,5365,3045,2557,3001,1381,3009,4069,2029,5269,2353,3973,2073,3853,9815,3885,8852,2678,2678,2326,3962,2686,5366,3046,2558,3002,1382,3010,4070,2030,5270,2354,3974,2074,3854,9812,3886,8855,2679,2679,2327,3963,2687,5367,3047,2559,3003,1383,3011,4071,2031,5271,2355,3975,2075,3855,9813,3887,8854,2680,2680,5561,3964,4949,5368,5309,2560,3004,1384,4625,4072,2032,5272,2356,3976,4985,3856,6247,4853,8845,2681,2681,5560,3965,4948,5369,5308,2561,3005,1385,4624,4073,2033,5273,2357,3977,4984,3857,6246,4852,8844,2682,2682,5563,3966,4951,5370,5311,2562,3006,1386,4627,4074,2034,5274,2358,3978,4987,3858,6245,4855,8847,2683,2683,5562,3967,4950,5371,5310,2563,3007,1387,4626,4075,2035,5275,2359,3979,4986,3859,6244,4854,8846,2684,2684,2640,3968,3000,5372,2388,2564,3008,1388,2676,4076,2036,5276,2360,3980,2712,3860,8834,4200,8848,2685,2685,2641,3969,3001,5373,2389,2565,3009,1389,2677,4077,2037,5277,2361,3981,2713,3861,8835,4201,8849,2686,2686,2642,3970,3002,5374,2390,2566,3010,1390,2678,4078,2038,5278,2362,3982,2714,3862,8832,4202,8850,2687,2687,2643,3971,3003,5375,2391,2567,3011,1391,2679,4079,2039,5279,2363,3983,2715,3863,8833,4203,8851,2688,2688,2336,5606,2696,3122,3056,4202,3012,1392,3020,1826,2040,5280,2364,3984,2084,2906,7856,3862,8831,2689,2689,2337,5607,2697,3123,3057,4203,3013,1393,3021,1827,2041,5281,2365,3985,2085,2907,7857,3863,8830,2690,2690,2338,5604,2698,3120,3058,4200,3014,1394,3022,1824,2042,5282,2366,3986,2086,2904,7858,3860,8829,2691,2691,2339,5605,2699,3121,3059,4201,3015,1395,3023,1825,2043,5283,2367,3987,2087,2905,7859,3861,8828,2692,2692,5573,5610,4961,3126,5321,4206,3016,1396,4637,1830,2044,5284,2368,3988,4997,2910,9473,4831,8823,2693,2693,5572,5611,4960,3127,5320,4207,3017,1397,4636,1831,2045,5285,2369,3989,4996,2911,9472,4830,8822,2694,2694,5575,5608,4963,3124,5323,4204,3018,1398,4639,1828,2046,5286,2370,3990,4999,2908,9475,4829,8821,2695,2695,5574,5609,4962,3125,5322,4205,3019,1399,4638,1829,2047,5287,2371,3991,4998,2909,9474,4828,8820,2696,2696,2652,5614,3012,3130,2400,4210,3020,1400,2688,1834,2048,5288,2372,3992,2724,2914,6876,4178,8826,2697,2697,2653,5615,3013,3131,2401,4211,3021,1401,2689,1835,2049,5289,2373,3993,2725,2915,6877,4179,8827,2698,2698,2654,5612,3014,3128,2402,4208,3022,1402,2690,1832,2050,5290,2374,3994,2726,2912,6878,4176,8824,2699,2699,2655,5613,3015,3129,2403,4209,3023,1403,2691,1833,2051,5291,2375,3995,2727,2913,6879,4177,8825,2700,2700,3032,1416,2312,1524,2672,1308,3024,1404,1988,2820,2052,5292,2376,3996,2348,5196,6588,9527,6604,2701,2701,3033,1417,2313,1525,2673,1309,3025,1405,1989,2821,2053,5293,2377,3997,2349,5197,6589,9526,6605,2702,2702,3034,1418,2314,1526,2674,1310,3026,1406,1990,2822,2054,5294,2378,3998,2350,5198,6590,9525,6606,2703,2703,3035,1419,2315,1527,2675,1311,3027,1407,1991,2823,2055,5295,2379,3999,2351,5199,6591,9524,6607,2704,2704,5297,1420,5549,1528,4937,1312,3028,1408,5225,2824,2056,5296,2380,4000,5261,5200,6592,9519,9192,2705,2705,5296,1421,5548,1529,4936,1313,3029,1409,5224,2825,2057,5297,2381,4001,5260,5201,6593,9518,9193,2706,2706,5299,1422,5551,1530,4939,1314,3030,1410,5227,2826,2058,5298,2382,4002,5263,5202,6594,9517,9194,2707,2707,5298,1423,5550,1531,4938,1315,3031,1411,5226,2827,2059,5299,2383,4003,5262,5203,6595,9516,9195,2708,2708,2376,1424,2628,1532,2988,1316,3032,1412,2952,2828,2060,5300,2384,4004,2016,5204,6596,9522,9849,2709,2709,2377,1425,2629,1533,2989,1317,3033,1413,2953,2829,2061,5301,2385,4005,2017,5205,6597,9523,9848,2710,2710,2378,1426,2630,1534,2990,1318,3034,1414,2954,2830,2062,5302,2386,4006,2018,5206,6598,9520,9851,2711,2711,2379,1427,2631,1535,2991,1319,3035,1415,2955,2831,2063,5303,2387,4007,2019,5207,6599,9521,9850,2712,2712,3044,3996,2324,5400,2684,2592,3036,1416,2000,4104,2064,5304,2388,4008,2360,3888,6600,9537,8860,2713,2713,3045,3997,2325,5401,2685,2593,3037,1417,2001,4105,2065,5305,2389,4009,2361,3889,6601,9536,8861,2714,2714,3046,3998,2326,5402,2686,2594,3038,1418,2002,4106,2066,5306,2390,4010,2362,3890,6602,9539,8862,2715,2715,3047,3999,2327,5403,2687,2595,3039,1419,2003,4107,2067,5307,2391,4011,2363,3891,6603,9538,8863,2716,2716,5309,4000,5561,5404,4949,2596,3040,1420,5237,4108,2068,5308,2392,4012,5273,3892,6604,9529,6264,2717,2717,5308,4001,5560,5405,4948,2597,3041,1421,5236,4109,2069,5309,2393,4013,5272,3893,6605,9528,6265,2718,2718,5311,4002,5563,5406,4951,2598,3042,1422,5239,4110,2070,5310,2394,4014,5275,3894,6606,9531,6266,2719,2719,5310,4003,5562,5407,4950,2599,3043,1423,5238,4111,2071,5311,2395,4015,5274,3895,6607,9530,6267,2720,2720,2388,4004,2640,5408,3000,2600,3044,1424,2964,4112,2072,5312,2396,4016,2028,3896,6608,9532,8217,2721,2721,2389,4005,2641,5409,3001,2601,3045,1425,2965,4113,2073,5313,2397,4017,2029,3897,6609,9533,8216,2722,2722,2390,4006,2642,5410,3002,2602,3046,1426,2966,4114,2074,5314,2398,4018,2030,3898,6610,9534,8219,2723,2723,2391,4007,2643,5411,3003,2603,3047,1427,2967,4115,2075,5315,2399,4019,2031,3899,6611,9535,8218,2724,2724,3056,4670,2336,2186,2696,3266,3048,1428,2012,890,2076,5316,2400,4020,2372,1970,6612,9515,9534,2725,2725,3057,4671,2337,2187,2697,3267,3049,1429,2013,891,2077,5317,2401,4021,2373,1971,6613,9514,9535,2726,2726,3058,4668,2338,2184,2698,3264,3050,1430,2014,888,2078,5318,2402,4022,2374,1968,6614,9513,9532,2727,2727,3059,4669,2339,2185,2699,3265,3051,1431,2015,889,2079,5319,2403,4023,2375,1969,6615,9512,9533,2728,2728,5321,4674,5573,2190,4961,3270,3052,1432,5249,894,2080,5320,2404,4024,5285,1974,6616,9507,6938,2729,2729,5320,4675,5572,2191,4960,3271,3053,1433,5248,895,2081,5321,2405,4025,5284,1975,6617,9506,6939,2730,2730,5323,4672,5575,2188,4963,3268,3054,1434,5251,892,2082,5322,2406,4026,5287,1972,6618,9505,6936,2731,2731,5322,4673,5574,2189,4962,3269,3055,1435,5250,893,2083,5323,2407,4027,5286,1973,6619,9504,6937,2732,2732,2400,4678,2652,2194,3012,3274,3056,1436,2976,898,2084,5324,2408,4028,2040,1978,6620,9510,7595,2733,2733,2401,4679,2653,2195,3013,3275,3057,1437,2977,899,2085,5325,2409,4029,2041,1979,6621,9511,7594,2734,2734,2402,4676,2654,2192,3014,3272,3058,1438,2978,896,2086,5326,2410,4030,2042,1976,6622,9508,7593,2735,2735,2403,4677,2655,2193,3015,3273,3059,1439,2979,897,2087,5327,2411,4031,2043,1977,6623,9509,7592,2736,2736,2780,3828,3140,5232,2420,2748,3060,1440,2816,3936,2088,5328,2412,4032,2744,4044,1030,4445,350,2737,2737,2781,3829,3141,5233,2421,2749,3061,1441,2817,3937,2089,5329,2413,4033,2745,4045,1031,4444,351,2738,2738,2782,3830,3142,5234,2422,2750,3062,1442,2818,3938,2090,5330,2414,4034,2746,4046,1028,4447,348,2739,2739,2783,3831,3143,5235,2423,2751,3063,1443,2819,3939,2091,5331,2415,4035,2747,4047,1029,4446,349,2740,2740,3749,3832,4109,5236,4361,2752,3064,1444,4433,3940,2092,5332,2416,4036,3389,4048,4267,4448,354,2741,2741,3748,3833,4108,5237,4360,2753,3065,1445,4432,3941,2093,5333,2417,4037,3388,4049,4266,4449,355,2742,2742,3751,3834,4111,5238,4363,2754,3066,1446,4435,3942,2094,5334,2418,4038,3391,4050,4265,4450,352,2743,2743,3750,3835,4110,5239,4362,2755,3067,1447,4434,3943,2095,5335,2419,4039,3390,4051,4264,4451,353,2744,2744,3096,3836,2484,5240,2736,2756,3068,1448,2160,3944,2096,5336,2420,4040,2412,4052,1346,4441,358,2745,2745,3097,3837,2485,5241,2737,2757,3069,1449,2161,3945,2097,5337,2421,4041,2413,4053,1347,4440,359,2746,2746,3098,3838,2486,5242,2738,2758,3070,1450,2162,3946,2098,5338,2422,4042,2414,4054,1344,4443,356,2747,2747,3099,3839,2487,5243,2739,2759,3071,1451,2163,3947,2099,5339,2423,4043,2415,4055,1345,4442,357,2748,2748,2792,5112,3152,2628,2432,4032,3072,1452,2828,1332,2100,5340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,2989,2637,1705,2997,1813,2385,1597,2665,1693,2673,3109,2341,5581,2017,4285,2709,5485,6585,4199,7222,2990,2990,2638,1706,2998,1814,2386,1598,2666,1694,2674,3110,2342,5582,2018,4286,2710,5486,6586,4196,7221,2991,2991,2639,1707,2999,1815,2387,1599,2667,1695,2675,3111,2343,5583,2019,4287,2711,5487,6587,4197,7220,2992,2992,4577,1708,4613,1816,4649,1600,2668,1696,4937,3112,2344,5584,2020,4288,5621,5488,10793,4519,7215,2993,2993,4576,1709,4612,1817,4648,1601,2669,1697,4936,3113,2345,5585,2021,4289,5620,5489,10792,4518,7214,2994,2994,4579,1710,4615,1818,4651,1602,2670,1698,4939,3114,2346,5586,2022,4290,5623,5490,10795,4517,7213,2995,2995,4578,1711,4614,1819,4650,1603,2671,1699,4938,3115,2347,5587,2023,4291,5622,5491,10794,4516,7212,2996,2996,2304,1712,2664,1820,3024,1604,2672,1700,2988,3116,2348,5588,2024,4292,2052,5492,8196,3866,7218,2997,2997,2305,1713,2665,1821,3025,1605,2673,1701,2989,3117,2349,5589,2025,4293,2053,5493,8197,3867,7219,2998,2998,2306,1714,2666,1822,3026,1606,2674,1702,2990,3118,2350,5590,2026,4294,2054,5494,8198,3864,7216,2999,2999,2307,1715,2667,1823,3027,1607,2675,1703,2991,3119,2351,5591,2027,4295,2055,5495,8199,3865,7217,3000,3000,2648,4284,3008,5688,2396,2880,2676,1704,2684,4392,2352,5592,2028,4296,2720,4176,8842,4208,7233,3001,3001,2649,4285,3009,5689,2397,2881,2677,1705,2685,4393,2353,5593,2029,4297,2721,4177,8843,4209,7232,3002,3002,2650,4286,3010,5690,2398,2882,2678,1706,2686,4394,2354,5594,2030,4298,2722,4178,8840,4210,7235,3003,3003,2651,4287,3011,5691,2399,2883,2679,1707,2687,4395,2355,5595,2031,4299,2723,4179,8841,4211,7234,3004,3004,4589,4288,4625,5692,4661,2884,2680,1708,4949,4396,2356,5596,2032,4300,5633,4180,7219,4529,7225,3005,3005,4588,4289,4624,5693,4660,2885,2681,1709,4948,4397,2357,5597,2033,4301,5632,4181,7218,4528,7224,3006,3006,4591,4290,4627,5694,4663,2886,2682,1710,4951,4398,2358,5598,2034,4302,5635,4182,7217,4531,7227,3007,3007,4590,4291,4626,5695,4662,2887,2683,1711,4950,4399,2359,5599,2035,4303,5634,4183,7216,4530,7226,3008,3008,2316,4292,2676,5696,3036,2888,2684,1712,3000,4400,2360,5600,2036,4304,2064,4184,9806,3876,7228,3009,3009,2317,4293,2677,5697,3037,2889,2685,1713,3001,4401,2361,5601,2037,4305,2065,4185,9807,3877,7229,3010,3010,2318,4294,2678,5698,3038,2890,2686,1714,3002,4402,2362,5602,2038,4306,2066,4186,9804,3878,7230,3011,3011,2319,4295,2679,5699,3039,2891,2687,1715,3003,4403,2363,5603,2039,4307,2067,4187,9805,3879,7231,3012,3012,2660,5282,3020,2798,2408,3878,2688,1716,2696,1502,2364,5604,2040,4308,2732,2582,6884,4186,7211,3013,3013,2661,5283,3021,2799,2409,3879,2689,1717,2697,1503,2365,5605,2041,4309,2733,2583,6885,4187,7210,3014,3014,2662,5280,3022,2796,2410,3876,2690,1718,2698,1500,2366,5606,2042,4310,2734,2580,6886,4184,7209,3015,3015,2663,5281,3023,2797,2411,3877,2691,1719,2699,1501,2367,5607,2043,4311,2735,2581,6887,4185,7208,3016,3016,4601,5286,4637,2802,4673,3882,2692,1720,4961,1506,2368,5608,2044,4312,5645,2586,10445,4507,7203,3017,3017,4600,5287,4636,2803,4672,3883,2693,1721,4960,1507,2369,5609,2045,4313,5644,2587,10444,4506,7202,3018,3018,4603,5284,4639,2800,4675,3880,2694,1722,4963,1504,2370,5610,2046,4314,5647,2584,10447,4505,7201,3019,3019,4602,5285,4638,2801,4674,3881,2695,1723,4962,1505,2371,5611,2047,4315,5646,2585,10446,4504,7200,3020,3020,2328,5290,2688,2806,3048,3886,2696,1724,3012,1510,2372,5612,2048,4316,2076,2590,7848,3854,7206,3021,3021,2329,5291,2689,2807,3049,3887,2697,1725,3013,1511,2373,5613,2049,4317,2077,2591,7849,3855,7207,3022,3022,2330,5288,2690,2804,3050,3884,2698,1726,3014,1508,2374,5614,2050,4318,2078,2588,7850,3852,7204,3023,3023,2331,5289,2691,2805,3051,3885,2699,1727,3015,1509,2375,5615,2051,4319,2079,2589,7851,3853,7205,3024,3024,2060,1740,1988,1848,2024,1632,2700,1728,2312,3144,2376,5616,2052,4320,2996,5520,8208,9203,10816,3025,3025,2061,1741,1989,1849,2025,1633,2701,1729,2313,3145,2377,5617,2053,4321,2997,5521,8209,9202,10817,3026,3026,2062,1742,1990,1850,2026,1634,2702,1730,2314,3146,2378,5618,2054,4322,2998,5522,8210,9201,10818,3027,3027,2063,1743,1991,1851,2027,1635,2703,1731,2315,3147,2379,5619,2055,4323,2999,5523,8211,9200,10819,3028,3028,4973,1744,5225,1852,5585,1636,2704,1732,5549,3148,2380,5620,2056,4324,4613,5524,8212,9195,8220,3029,3029,4972,1745,5224,1853,5584,1637,2705,1733,5548,3149,2381,5621,2057,4325,4612,5525,8213,9194,8221,3030,3030,4975,1746,5227,1854,5587,1638,2706,1734,5551,3150,2382,5622,2058,4326,4615,5526,8214,9193,8222,3031,3031,4974,1747,5226,1855,5586,1639,2707,1735,5550,3151,2383,5623,2059,4327,4614,5527,8215,9192,8223,3032,3032,2700,1748,2952,1856,2340,1640,2708,1736,2628,3152,2384,5624,2060,4328,2664,5528,8216,9198,6285,3033,3033,2701,1749,2953,1857,2341,1641,2709,1737,2629,3153,2385,5625,2061,4329,2665,5529,8217,9199,6284,3034,3034,2702,1750,2954,1858,2342,1642,2710,1738,2630,3154,2386,5626,2062,4330,2666,5530,8218,9196,6287,3035,3035,2703,1751,2955,1859,2343,1643,2711,1739,2631,3155,2387,5627,2063,4331,2667,5531,8219,9197,6286,3036,3036,2072,4320,2000,5724,2036,2916,2712,1740,2324,4428,2388,5628,2064,4332,3008,4212,8220,9213,7240,3037,3037,2073,4321,2001,5725,2037,2917,2713,1741,2325,4429,2389,5629,2065,4333,3009,4213,8221,9212,7241,3038,3038,2074,4322,2002,5726,2038,2918,2714,1742,2326,4430,2390,5630,2066,4334,3010,4214,8222,9215,7242,3039,3039,2075,4323,2003,5727,2039,2919,2715,1743,2327,4431,2391,5631,2067,4335,3011,4215,8223,9214,7243,3040,3040,4985,4324,5237,5728,5597,2920,2716,1744,5561,4432,2392,5632,2068,4336,4625,4216,8224,9205,9828,3041,3041,4984,4325,5236,5729,5596,2921,2717,1745,5560,4433,2393,5633,2069,4337,4624,4217,8225,9204,9829,3042,3042,4987,4326,5239,5730,5599,2922,2718,1746,5563,4434,2394,5634,2070,4338,4627,4218,8226,9207,9830,3043,3043,4986,4327,5238,5731,5598,2923,2719,1747,5562,4435,2395,5635,2071,4339,4626,4219,8227,9206,9831,3044,3044,2712,4328,2964,5732,2352,2924,2720,1748,2640,4436,2396,5636,2072,4340,2676,4220,8228,9208,9189,3045,3045,2713,4329,2965,5733,2353,2925,2721,1749,2641,4437,2397,5637,2073,4341,2677,4221,8229,9209,9188,3046,3046,2714,4330,2966,5734,2354,2926,2722,1750,2642,4438,2398,5638,2074,4342,2678,4222,8230,9210,9191,3047,3047,2715,4331,2967,5735,2355,2927,2723,1751,2643,4439,2399,5639,2075,4343,2679,4223,8231,9211,9190,3048,3048,2084,4994,2012,2510,2048,3590,2724,1752,2336,1214,2400,5640,2076,4344,3020,2294,8232,9191,7914,3049,3049,2085,4995,2013,2511,2049,3591,2725,1753,2337,1215,2401,5641,2077,4345,3021,2295,8233,9190,7915,3050,3050,2086,4992,2014,2508,2050,3588,2726,1754,2338,1212,2402,5642,2078,4346,3022,2292,8234,9189,7912,3051,3051,2087,4993,2015,2509,2051,3589,2727,1755,2339,1213,2403,5643,2079,4347,3023,2293,8235,9188,7913,3052,3052,4997,4998,5249,2514,5609,3594,2728,1756,5573,1218,2404,5644,2080,4348,4637,2298,8236,9183,10502,3053,3053,4996,4999,5248,2515,5608,3595,2729,1757,5572,1219,2405,5645,2081,4349,4636,2299,8237,9182,10503,3054,3054,4999,4996,5251,2512,5611,3592,2730,1758,5575,1216,2406,5646,2082,4350,4639,2296,8238,9181,10500,3055,3055,4998,4997,5250,2513,5610,3593,2731,1759,5574,1217,2407,5647,2083,4351,4638,2297,8239,9180,10501,3056,3056,2724,5002,2976,2518,2364,3598,2732,1760,2652,1222,2408,5648,2084,4352,2688,2302,8240,9186,8567,3057,3057,2725,5003,2977,2519,2365,3599,2733,1761,2653,1223,2409,5649,2085,4353,2689,2303,8241,9187,8566,3058,3058,2726,5000,2978,2516,2366,3596,2734,1762,2654,1220,2410,5650,2086,4354,2690,2300,8242,9184,8565,3059,3059,2727,5001,2979,2517,2367,3597,2735,1763,2655,1221,2411,5651,2087,4355,2691,2301,8243,9185,8564,3060,3060,2456,4152,2816,5556,3068,3072,2736,1764,3140,4260,2412,5652,2088,4356,2096,4368,2002,4121,170,3061,3061,2457,4153,2817,5557,3069,3073,2737,1765,3141,4261,2413,5653,2089,4357,2097,4369,2003,4120,171,3062,3062,2458,4154,2818,5558,3070,3074,2738,1766,3142,4262,2414,5654,2090,4358,2098,4370,2000,4123,168,3063,3063,2459,4155,2819,5559,3071,3075,2739,1767,3143,4263,2415,5655,2091,4359,2099,4371,2001,4122,169,3064,3064,4073,4156,4433,5560,3713,3076,2740,1768,4109,4264,2416,5656,2092,4360,4037,4372,5239,4124,174,3065,3065,4072,4157,4432,5561,3712,3077,2741,1769,4108,4265,2417,5657,2093,4361,4036,4373,5238,4125,175,3066,3066,4075,4158,4435,5562,3715,3078,2742,1770,4111,4266,2418,5658,2094,4362,4039,4374,5237,4126,172,3067,3067,4074,4159,4434,5563,3714,3079,2743,1771,4110,4267,2419,5659,2095,4363,4038,4375,5236,4127,173,3068,3068,2124,4160,2160,5564,2088,3080,2744,1772,2484,4268,2420,5660,2096,4364,3060,4376,2966,4117,178,3069,3069,2125,4161,2161,5565,2089,3081,2745,1773,2485,4269,2421,5661,2097,4365,3061,4377,2967,4116,179,3070,3070,2126,4162,2162,5566,2090,3082,2746,1774,2486,4270,2422,5662,2098,4366,3062,4378,2964,4119,176,3071,3071,2127,4163,2163,5567,2091,3083,2747,1775,2487,4271,2423,5663,2099,4367,3063,4379,2965,4118,177,3072,3072,2468,5436,2828,2952,3080,4356,2748,1776,3152,1656,2424,5664,2100,4368,2108,3060,2012,2813,146,3073,3073,2469,5437,2829,2953,3081,4357,2749,1777,3153,1657,2425,5665,2101,4369,2109,3061,2013,2812,147,3074,3074,2470,5438,2830,2954,3082,4358,2750,1778,3154,1658,2426,5666,2102,4370,2110,3062,2014,2815,144,3075,3075,2471,5439,2831,2955,3083,4359,2751,1779,3155,1659,2427,5667,2103,4371,2111,3063,2015,2814,145,3076,3076,4085,5440,4445,2956,3725,4360,2752,1780,4121,1660,2428,5668,2104,4372,4049,3064,5249,2816,150,3077,3077,4084,5441,4444,2957,3724,4361,2753,1781,4120,1661,2429,5669,2105,4373,4048,3065,5248,2817,151,3078,3078,4087,5442,4447,2958,3727,4362,2754,1782,4123,1662,2430,5670,2106,4374,4051,3066,5251,2818,148,3079,3079,4086,5443,4446,2959,3726,4363,2755,1783,4122,1663,2431,5671,2107,4375,4050,3067,5250,2819,149,3080,3080,2136,5444,2172,2960,2100,4364,2756,1784,2496,1664,2432,5672,2108,4376,3072,3068,2976,2809,154,3081,3081,2137,5445,2173,2961,2101,4365,2757,1785,2497,1665,2433,5673,2109,4377,3073,3069,2977,2808,155,3082,3082,2138,5446,2174,2962,2102,4366,2758,1786,2498,1666,2434,5674,2110,4378,3074,3070,2978,2811,152,3083,3083,2139,5447,2175,2963,2103,4367,2759,1787,2499,1667,2435,5675,2111,4379,3075,3071,2979,2810,153,3084,3084,2480,602,2840,710,3092,818,2760,1788,3164,2006,2436,5676,2112,4380,2120,4706,1990,4783,156,3085,3085,2481,603,2841,711,3093,819,2761,1789,3165,2007,2437,5677,2113,4381,2121,4707,1991,4782,157,3086,3086,2482,600,2842,708,3094,816,2762,1790,3166,2004,2438,5678,2114,4382,2122,4704,1988,4781,158,3087,3087,2483,601,2843,709,3095,817,2763,1791,3167,2005,2439,5679,2115,4383,2123,4705,1989,4780,159,3088,3088,4097,606,4457,714,3737,822,2764,1792,4133,2010,2440,5680,2116,4384,4061,4710,5227,4786,160,3089,3089,4096,607,4456,715,3736,823,2765,1793,4132,2011,2441,5681,2117,4385,4060,4711,5226,4787,161,3090,3090,4099,604,4459,712,3739,820,2766,1794,4135,2008,2442,5682,2118,4386,4063,4708,5225,4784,162,3091,3091,4098,605,4458,713,3738,821,2767,1795,4134,2009,2443,5683,2119,4387,4062,4709,5224,4785,163,3092,3092,2148,610,2184,718,2112,826,2768,1796,2508,2014,2444,5684,2120,4388,3084,4714,2954,4779,164,3093,3093,2149,611,2185,719,2113,827,2769,1797,2509,2015,2445,5685,2121,4389,3085,4715,2955,4778,165,3094,3094,2150,608,2186,716,2114,824,2770,1798,2510,2012,2446,5686,2122,4390,3086,4712,2952,4777,166,3095,3095,2151,609,2187,717,2115,825,2771,1799,2511,2013,2447,5687,2123,4391,3087,4713,2953,4776,167,3096,3096,2744,4188,3104,5592,2492,3108,2772,1800,2780,4296,2448,5688,2124,4392,2816,4404,8303,391,3477,3097,3097,2745,4189,3105,5593,2493,3109,2773,1801,2781,4297,2449,5689,2125,4393,2817,4405,8302,390,3476,3098,3098,2746,4190,3106,5594,2494,3110,2774,1802,2782,4298,2450,5690,2126,4394,2818,4406,8301,389,3479,3099,3099,2747,4191,3107,5595,2495,3111,2775,1803,2783,4299,2451,5691,2127,4395,2819,4407,8300,388,3478,3100,3100,3389,4192,3425,5596,3461,3112,2776,1804,3749,4300,2452,5692,2128,4396,4433,4408,8295,394,3469,3101,3101,3388,4193,3424,5597,3460,3113,2777,1805,3748,4301,2453,5693,2129,4397,4432,4409,8294,395,3468,3102,3102,3391,4194,3427,5598,3463,3114,2778,1806,3751,4302,2454,5694,2130,4398,4435,4410,8293,392,3471,3103,3103,3390,4195,3426,5599,3462,3115,2779,1807,3750,4303,2455,5695,2131,4399,4434,4411,8292,393,3470,3104,3104,2412,4196,2772,5600,3132,3116,2780,1808,3096,4304,2456,5696,2132,4400,2160,4412,8298,387,3472,3105,3105,2413,4197,2773,5601,3133,3117,2781,1809,3097,4305,2457,5697,2133,4401,2161,4413,8299,386,3473,3106,3106,2414,4198,2774,5602,3134,3118,2782,1810,3098,4306,2458,5698,2134,4402,2162,4414,8296,385,3474,3107,3107,2415,4199,2775,5603,3135,3119,2783,1811,3099,4307,2459,5699,2135,4403,2163,4415,8297,384,3475,3108,3108,2756,5472,3116,2988,2504,4392,2784,1812,2792,1692,2460,5700,2136,4404,2828,3096,8313,367,2169,3109,3109,2757,5473,3117,2989,2505,4393,2785,1813,2793,1693,2461,5701,2137,4405,2829,3097,8312,366,2168,3110,3110,2758,5474,3118,2990,2506,4394,2786,1814,2794,1694,2462,5702,2138,4406,2830,3098,8315,365,2171,3111,3111,2759,5475,3119,2991,2507,4395,2787,1815,2795,1695,2463,5703,2139,4407,2831,3099,8314,364,2170,3112,3112,3401,5476,3437,2992,3473,4396,2788,1816,3761,1696,2464,5704,2140,4408,4445,3100,8305,370,2161,3113,3113,3400,5477,3436,2993,3472,4397,2789,1817,3760,1697,2465,5705,2141,4409,4444,3101,8304,371,2160,3114,3114,3403,5478,3439,2994,3475,4398,2790,1818,3763,1698,2466,5706,2142,4410,4447,3102,8307,368,2163,3115,3115,3402,5479,3438,2995,3474,4399,2791,1819,3762,1699,2467,5707,2143,4411,4446,3103,8306,369,2162,3116,3116,2424,5480,2784,2996,3144,4400,2792,1820,3108,1700,2468,5708,2144,4412,2172,3104,8308,363,2164,3117,3117,2425,5481,2785,2997,3145,4401,2793,1821,3109,1701,2469,5709,2145,4413,2173,3105,8309,362,2165,3118,3118,2426,5482,2786,2998,3146,4402,2794,1822,3110,1702,2470,5710,2146,4414,2174,3106,8310,361,2166,3119,3119,2427,5483,2787,2999,3147,4403,2795,1823,3111,1703,2471,5711,2147,4415,2175,3107,8311,360,2167,3120,3120,2768,1286,3128,1394,2516,1502,2796,1824,2804,2690,2472,5712,2148,4416,2840,5390,8291,377,5435,3121,3121,2769,1287,3129,1395,2517,1503,2797,1825,2805,2691,2473,5713,2149,4417,2841,5391,8290,376,5434,3122,3122,2770,1284,3130,1392,2518,1500,2798,1826,2806,2688,2474,5714,2150,4418,2842,5388,8289,379,5433,3123,3123,2771,1285,3131,1393,2519,1501,2799,1827,2807,2689,2475,5715,2151,4419,2843,5389,8288,378,5432,3124,3124,3413,1290,3449,1398,3485,1506,2800,1828,3773,2694,2476,5716,2152,4420,4457,5394,8283,380,5427,3125,3125,3412,1291,3448,1399,3484,1507,2801,1829,3772,2695,2477,5717,2153,4421,4456,5395,8282,381,5426,3126,3126,3415,1288,3451,1396,3487,1504,2802,1830,3775,2692,2478,5718,2154,4422,4459,5392,8281,382,5425,3127,3127,3414,1289,3450,1397,3486,1505,2803,1831,3774,2693,2479,5719,2155,4423,4458,5393,8280,383,5424,3128,3128,2436,1294,2796,1402,3156,1510,2804,1832,3120,2698,2480,5720,2156,4424,2184,5398,8286,373,5430,3129,3129,2437,1295,2797,1403,3157,1511,2805,1833,3121,2699,2481,5721,2157,4425,2185,5399,8287,372,5431,3130,3130,2438,1292,2798,1400,3158,1508,2806,1834,3122,2696,2482,5722,2158,4426,2186,5396,8284,375,5428,3131,3131,2439,1293,2799,1401,3159,1509,2807,1835,3123,2697,2483,5723,2159,4427,2187,5397,8285,374,5429,3132,3132,2168,4224,2096,5628,2132,3144,2808,1836,2420,4332,2484,5724,2160,4428,3104,4440,8656,2757,2141,3133,3133,2169,4225,2097,5629,2133,3145,2809,1837,2421,4333,2485,5725,2161,4429,3105,4441,8657,2756,2140,3134,3134,2170,4226,2098,5630,2134,3146,2810,1838,2422,4334,2486,5726,2162,4430,3106,4442,8658,2759,2143,3135,3135,2171,4227,2099,5631,2135,3147,2811,1839,2423,4335,2487,5727,2163,4431,3107,4443,8659,2758,2142,3136,3136,3785,4228,4037,5632,4397,3148,2812,1840,4361,4336,2488,5728,2164,4432,3425,4444,7356,2749,2144,3137,3137,3784,4229,4036,5633,4396,3149,2813,1841,4360,4337,2489,5729,2165,4433,3424,4445,7357,2748,2145,3138,3138,3787,4230,4039,5634,4399,3150,2814,1842,4363,4338,2490,5730,2166,4434,3427,4446,7358,2751,2146,3139,3139,3786,4231,4038,5635,4398,3151,2815,1843,4362,4339,2491,5731,2167,4435,3426,4447,7359,2750,2147,3140,3140,2808,4232,3060,5636,2448,3152,2816,1844,2736,4340,2492,5732,2168,4436,2772,4448,10605,2752,2137,3141,3141,2809,4233,3061,5637,2449,3153,2817,1845,2737,4341,2493,5733,2169,4437,2773,4449,10604,2753,2136,3142,3142,2810,4234,3062,5638,2450,3154,2818,1846,2738,4342,2494,5734,2170,4438,2774,4450,10607,2754,2139,3143,3143,2811,4235,3063,5639,2451,3155,2819,1847,2739,4343,2495,5735,2171,4439,2775,4451,10606,2755,2138,3144,3144,2180,5508,2108,3024,2144,4428,2820,1848,2432,1728,2496,5736,2172,4440,3116,3132,8320,4041,3425,3145,3145,2181,5509,2109,3025,2145,4429,2821,1849,2433,1729,2497,5737,2173,4441,3117,3133,8321,4040,3424,3146,3146,2182,5510,2110,3026,2146,4430,2822,1850,2434,1730,2498,5738,2174,4442,3118,3134,8322,4043,3427,3147,3147,2183,5511,2111,3027,2147,4431,2823,1851,2435,1731,2499,5739,2175,4443,3119,3135,8323,4042,3426,3148,3148,3797,5512,4049,3028,4409,4432,2824,1852,4373,1732,2500,5740,2176,4444,3437,3136,9612,4033,3428,3149,3149,3796,5513,4048,3029,4408,4433,2825,1853,4372,1733,2501,5741,2177,4445,3436,3137,9613,4032,3429,3150,3150,3799,5514,4051,3030,4411,4434,2826,1854,4375,1734,2502,5742,2178,4446,3439,3138,9614,4035,3430,3151,3151,3798,5515,4050,3031,4410,4435,2827,1855,4374,1735,2503,5743,2179,4447,3438,3139,9615,4034,3431,3152,3152,2820,5516,3072,3032,2460,4436,2828,1856,2748,1736,2504,5744,2180,4448,2784,3140,6381,4036,3421,3153,3153,2821,5517,3073,3033,2461,4437,2829,1857,2749,1737,2505,5745,2181,4449,2785,3141,6380,4037,3420,3154,3154,2822,5518,3074,3034,2462,4438,2830,1858,2750,1738,2506,5746,2182,4450,2786,3142,6383,4038,3423,3155,3155,2823,5519,3075,3035,2463,4439,2831,1859,2751,1739,2507,5747,2183,4451,2787,3143,6382,4039,3422,3156,3156,2192,998,2120,1106,2156,1214,2832,1860,2444,2402,2508,5748,2184,4452,3128,5102,7698,1151,1183,3157,3157,2193,999,2121,1107,2157,1215,2833,1861,2445,2403,2509,5749,2185,4453,3129,5103,7699,1150,1182,3158,3158,2194,996,2122,1104,2158,1212,2834,1862,2446,2400,2510,5750,2186,4454,3130,5100,7696,1149,1181,3159,3159,2195,997,2123,1105,2159,1213,2835,1863,2447,2401,2511,5751,2187,4455,3131,5101,7697,1148,1180,3160,3160,3809,1002,4061,1110,4421,1218,2836,1864,4385,2406,2512,5752,2188,4456,3449,5106,8990,1143,1186,3161,3161,3808,1003,4060,1111,4420,1219,2837,1865,4384,2407,2513,5753,2189,4457,3448,5107,8991,1142,1187,3162,3162,3811,1000,4063,1108,4423,1216,2838,1866,4387,2404,2514,5754,2190,4458,3451,5104,8988,1141,1184,3163,3163,3810,1001,4062,1109,4422,1217,2839,1867,4386,2405,2515,5755,2191,4459,3450,5105,8989,1140,1185,3164,3164,2832,1006,3084,1114,2472,1222,2840,1868,2760,2410,2516,5756,2192,4460,2796,5110,7055,1146,1179,3165,3165,2833,1007,3085,1115,2473,1223,2841,1869,2761,2411,2517,5757,2193,4461,2797,5111,7054,1147,1178,3166,3166,2834,1004,3086,1112,2474,1220,2842,1870,2762,2408,2518,5758,2194,4462,2798,5108,7053,1144,1177,3167,3167,2835,1005,3087,1113,2475,1221,2843,1871,2763,2409,2519,5759,2195,4463,2799,5109,7052,1145,1176,3168,3168,3212,3396,3248,4476,3176,1992,3492,4464,3572,3180,3816,576,4140,1872,4148,3288,396,8676,4282,3169,3169,3213,3397,3249,4477,3177,1993,3493,4465,3573,3181,3817,577,4141,1873,4149,3289,397,8677,4283,3170,3170,3214,3398,3250,4478,3178,1994,3494,4466,3574,3182,3818,578,4142,1874,4150,3290,398,8678,4280,3171,3171,3215,3399,3251,4479,3179,1995,3495,4467,3575,3183,3819,579,4143,1875,4151,3291,399,8679,4281,3172,3172,5477,3400,4865,4480,5117,1996,3496,4468,4541,3184,3820,580,4144,1876,4793,3292,400,8680,1039,3173,3173,5476,3401,4864,4481,5116,1997,3497,4469,4540,3185,3821,581,4145,1877,4792,3293,401,8681,1038,3174,3174,5479,3402,4867,4482,5119,1998,3498,4470,4543,3186,3822,582,4146,1878,4795,3294,402,8682,1037,3175,3175,5478,3403,4866,4483,5118,1999,3499,4471,4542,3187,3823,583,4147,1879,4794,3295,403,8683,1036,3176,3176,3528,3404,3888,4484,4140,2000,3500,4472,4212,3188,3824,584,4148,1880,3168,3296,404,8684,3302,3177,3177,3529,3405,3889,4485,4141,2001,3501,4473,4213,3189,3825,585,4149,1881,3169,3297,405,8685,3303,3178,3178,3530,3406,3890,4486,4142,2002,3502,4474,4214,3190,3826,586,4150,1882,3170,3298,406,8686,3300,3179,3179,3531,3407,3891,4487,4143,2003,3503,4475,4215,3191,3827,587,4151,1883,3171,3299,407,8687,3301,3180,3180,3224,2088,3260,3168,3188,4572,3504,4476,3584,4464,3828,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,4477,3601,4573,3681,4693,3925,685,4249,1981,4257,589,4391,5885,3191,3278,3278,3322,1994,3358,3398,3286,4478,3602,4574,3682,4694,3926,686,4250,1982,4258,590,4388,5886,3188,3279,3279,3323,1995,3359,3399,3287,4479,3603,4575,3683,4695,3927,687,4251,1983,4259,591,4389,5887,3189,3280,3280,1697,1996,1085,3400,1337,4480,3604,4576,761,4696,3928,688,4252,1984,1013,592,2443,8472,5131,3281,3281,1696,1997,1084,3401,1336,4481,3605,4577,760,4697,3929,689,4253,1985,1012,593,2442,8473,5130,3282,3282,1699,1998,1087,3402,1339,4482,3606,4578,763,4698,3930,690,4254,1986,1015,594,2441,8474,5129,3283,3283,1698,1999,1086,3403,1338,4483,3607,4579,762,4699,3931,691,4255,1987,1014,595,2440,8475,5128,3284,3284,3636,2000,3996,3404,4248,4484,3608,4580,4320,4700,3932,692,4256,1988,3276,596,3410,10749,4154,3285,3285,3637,2001,3997,3405,4249,4485,3609,4581,4321,4701,3933,693,4257,1989,3277,597,3411,10748,4155,3286,3286,3638,2002,3998,3406,4250,4486,3610,4582,4322,4702,3934,694,4258,1990,3278,598,3408,10751,4152,3287,3287,3639,2003,3999,3407,4251,4487,3611,4583,4323,4703,3935,695,4259,1991,3279,599,3409,10750,4153,3288,3288,3332,4572,3368,2088,3296,3168,3612,4584,3692,792,3936,696,4260,1992,4268,1872,4366,8788,3200,3289,3289,3333,4573,3369,2089,3297,3169,3613,4585,3693,793,3937,697,4261,1993,4269,1873,4367,8789,3201,3290,3290,3334,4574,3370,2090,3298,3170,3614,4586,3694,794,3938,698,4262,1994,4270,1874,4364,8790,3202,3291,3291,3335,4575,3371,2091,3299,3171,3615,4587,3695,795,3939,699,4263,1995,4271,1875,4365,8791,3203,3292,3292,1709,4576,1097,2092,1349,3172,3616,4588,773,796,3940,700,4264,1996,1025,1876,2419,6192,5141,3293,3293,1708,4577,1096,2093,1348,3173,3617,4589,772,797,3941,701,4265,1997,1024,1877,2418,6193,5140,3294,3294,1711,4578,1099,2094,1351,3174,3618,4590,775,798,3942,702,4266,1998,1027,1878,2417,6194,5143,3295,3295,1710,4579,1098,2095,1350,3175,3619,4591,774,799,3943,703,4267,1999,1026,1879,2416,6195,5142,3296,3296,3648,4580,4008,2096,4260,3176,3620,4592,4332,800,3944,704,4268,2000,3288,1880,3386,7821,4164,3297,3297,3649,4581,4009,2097,4261,3177,3621,4593,4333,801,3945,705,4269,2001,3289,1881,3387,7820,4165,3298,3298,3650,4582,4010,2098,4262,3178,3622,4594,4334,802,3946,706,4270,2002,3290,1882,3384,7823,4166,3299,3299,3651,4583,4011,2099,4263,3179,3623,4595,4335,803,3947,707,4271,2003,3291,1883,3385,7822,4167,3300,3300,3344,4274,3380,5678,3308,2870,3624,4596,3704,4382,3948,708,4272,2004,4280,4166,4376,9138,3178,3301,3301,3345,4275,3381,5679,3309,2871,3625,4597,3705,4383,3949,709,4273,2005,4281,4167,4377,9139,3179,3302,3302,3346,4272,3382,5676,3310,2868,3626,4598,3706,4380,3950,710,4274,2006,4282,4164,4378,9136,3176,3303,3303,3347,4273,3383,5677,3311,2869,3627,4599,3707,4381,3951,711,4275,2007,4283,4165,4379,9137,3177,3304,3304,1721,4278,1109,5682,1361,2874,3628,4600,785,4386,3952,712,4276,2008,1037,4170,2429,6542,5119,3305,3305,1720,4279,1108,5683,1360,2875,3629,4601,784,4387,3953,713,4277,2009,1036,4171,2428,6543,5118,3306,3306,1723,4276,1111,5680,1363,2872,3630,4602,787,4384,3954,714,4278,2010,1039,4168,2431,6540,5117,3307,3307,1722,4277,1110,5681,1362,2873,3631,4603,786,4385,3955,715,4279,2011,1038,4169,2430,6541,5116,3308,3308,3660,4282,4020,5686,4272,2878,3632,4604,4344,4390,3956,716,4280,2012,3300,4174,3396,7523,4142,3309,3309,3661,4283,4021,5687,4273,2879,3633,4605,4345,4391,3957,717,4281,2013,3301,4175,3397,7522,4143,3310,3310,3662,4280,4022,5684,4274,2876,3634,4606,4346,4388,3958,718,4282,2014,3302,4172,3398,7521,4140,3311,3311,3663,4281,4023,5685,4275,2877,3635,4607,4347,4389,3959,719,4283,2015,3303,4173,3399,7520,4141,3312,3312,4256,2028,3644,3432,4004,4512,3636,4608,3320,4728,3960,720,4284,2016,3680,624,10472,3226,9491,3313,3313,4257,2029,3645,3433,4005,4513,3637,4609,3321,4729,3961,721,4285,2017,3681,625,10473,3227,9490,3314,3314,4258,2030,3646,3434,4006,4514,3638,4610,3322,4730,3962,722,4286,2018,3682,626,10474,3224,9489,3315,3315,4259,2031,3647,3435,4007,4515,3639,4611,3323,4731,3963,723,4287,2019,3683,627,10475,3225,9488,3316,3316,1013,2032,1373,3436,1733,4516,3640,4612,1697,4732,3964,724,4288,2020,761,628,6905,5491,9483,3317,3317,1012,2033,1372,3437,1732,4517,3641,4613,1696,4733,3965,725,4289,2021,760,629,6904,5490,9482,3318,3318,1015,2034,1375,3438,1735,4518,3642,4614,1699,4734,3966,726,4290,2022,763,630,6907,5489,9481,3319,3319,1014,2035,1374,3439,1734,4519,3643,4615,1698,4735,3967,727,4291,2023,762,631,6906,5488,9480,3320,3320,3276,2036,3312,3440,3348,4520,3644,4616,3636,4736,3968,728,4292,2024,4320,632,9492,3542,9486,3321,3321,3277,2037,3313,3441,3349,4521,3645,4617,3637,4737,3969,729,4293,2025,4321,633,9493,3543,9487,3322,3322,3278,2038,3314,3442,3350,4522,3646,4618,3638,4738,3970,730,4294,2026,4322,634,9494,3540,9484,3323,3323,3279,2039,3315,3443,3351,4523,3647,4619,3639,4739,3971,731,4295,2027,4323,635,9495,3541,9485,3324,3324,4268,4608,3656,2124,4016,3204,3648,4620,3332,828,3972,732,4296,2028,3692,1908,7546,3236,9501,3325,3325,4269,4609,3657,2125,4017,3205,3649,4621,3333,829,3973,733,4297,2029,3693,1909,7547,3237,9500,3326,3326,4270,4610,3658,2126,4018,3206,3650,4622,3334,830,3974,734,4298,2030,3694,1910,7544,3238,9503,3327,3327,4271,4611,3659,2127,4019,3207,3651,4623,3335,831,3975,735,4299,2031,3695,1911,7545,3239,9502,3328,3328,1025,4612,1385,2128,1745,3208,3652,4624,1709,832,3976,736,4300,2032,773,1912,8515,5501,9493,3329,3329,1024,4613,1384,2129,1744,3209,3653,4625,1708,833,3977,737,4301,2033,772,1913,8514,5500,9492,3330,3330,1027,4614,1387,2130,1747,3210,3654,4626,1711,834,3978,738,4302,2034,775,1914,8513,5503,9495,3331,3331,1026,4615,1386,2131,1746,3211,3655,4627,1710,835,3979,739,4303,2035,774,1915,8512,5502,9494,3332,3332,3288,4616,3324,2132,3360,3212,3656,4628,3648,836,3980,740,4304,2036,4332,1916,5918,3552,9496,3333,3333,3289,4617,3325,2133,3361,3213,3657,4629,3649,837,3981,741,4305,2037,4333,1917,5919,3553,9497,3334,3334,3290,4618,3326,2134,3362,3214,3658,4630,3650,838,3982,742,4306,2038,4334,1918,5916,3554,9498,3335,3335,3291,4619,3327,2135,3363,3215,3659,4631,3651,839,3983,743,4307,2039,4335,1919,5917,3555,9499,3336,3336,4280,3662,3668,5066,4028,2258,3660,4632,3344,3770,3984,744,4308,2040,3704,3554,10772,3214,9479,3337,3337,4281,3663,3669,5067,4029,2259,3661,4633,3345,3771,3985,745,4309,2041,3705,3555,10773,3215,9478,3338,3338,4282,3660,3670,5064,4030,2256,3662,4634,3346,3768,3986,746,4310,2042,3706,3552,10774,3212,9477,3339,3339,4283,3661,3671,5065,4031,2257,3663,4635,3347,3769,3987,747,4311,2043,3707,3553,10775,3213,9476,3340,3340,1037,3666,1397,5070,1757,2262,3664,4636,1721,3774,3988,748,4312,2044,785,3558,6557,5479,9471,3341,3341,1036,3667,1396,5071,1756,2263,3665,4637,1720,3775,3989,749,4313,2045,784,3559,6556,5478,9470,3342,3342,1039,3664,1399,5068,1759,2260,3666,4638,1723,3772,3990,750,4314,2046,787,3556,6559,5477,9469,3343,3343,1038,3665,1398,5069,1758,2261,3667,4639,1722,3773,3991,751,4315,2047,786,3557,6558,5476,9468,3344,3344,3300,3670,3336,5074,3372,2266,3668,4640,3660,3778,3992,752,4316,2048,4344,3562,9144,3530,9474,3345,3345,3301,3671,3337,5075,3373,2267,3669,4641,3661,3779,3993,753,4317,2049,4345,3563,9145,3531,9475,3346,3346,3302,3668,3338,5072,3374,2264,3670,4642,3662,3776,3994,754,4318,2050,4346,3560,9146,3528,9472,3347,3347,3303,3669,3339,5073,3375,2265,3671,4643,3663,3777,3995,755,4319,2051,4347,3561,9147,3529,9473,3348,3348,3680,2064,3932,3468,4292,4548,3672,4644,4256,4764,3996,756,4320,2052,3320,660,9504,8879,5956,3349,3349,3681,2065,3933,3469,4293,4549,3673,4645,4257,4765,3997,757,4321,2053,3321,661,9505,8878,5957,3350,3350,3682,2066,3934,3470,4294,4550,3674,4646,4258,4766,3998,758,4322,2054,3322,662,9506,8877,5958,3351,3351,3683,2067,3935,3471,4295,4551,3675,4647,4259,4767,3999,759,4323,2055,3323,663,9507,8876,5959,3352,3352,761,2068,689,3472,725,4552,3676,4648,1013,4768,4000,760,4324,2056,1697,664,9508,8871,8544,3353,3353,760,2069,688,3473,724,4553,3677,4649,1012,4769,4001,761,4325,2057,1696,665,9509,8870,8545,3354,3354,763,2070,691,3474,727,4554,3678,4650,1015,4770,4002,762,4326,2058,1699,666,9510,8869,8546,3355,3355,762,2071,690,3475,726,4555,3679,4651,1014,4771,4003,763,4327,2059,1698,667,9511,8868,8547,3356,3356,4320,2072,3600,3476,3960,4556,3680,4652,3276,4772,4004,764,4328,2060,3636,668,9512,8874,10497,3357,3357,4321,2073,3601,3477,3961,4557,3681,4653,3277,4773,4005,765,4329,2061,3637,669,9513,8875,10496,3358,3358,4322,2074,3602,3478,3962,4558,3682,4654,3278,4774,4006,766,4330,2062,3638,670,9514,8872,10499,3359,3359,4323,2075,3603,3479,3963,4559,3683,4655,3279,4775,4007,767,4331,2063,3639,671,9515,8873,10498,3360,3360,3692,4644,3944,2160,4304,3240,3684,4656,4268,864,4008,768,4332,2064,3332,1944,9516,8889,9508,3361,3361,3693,4645,3945,2161,4305,3241,3685,4657,4269,865,4009,769,4333,2065,3333,1945,9517,8888,9509,3362,3362,3694,4646,3946,2162,4306,3242,3686,4658,4270,866,4010,770,4334,2066,3334,1946,9518,8891,9510,3363,3363,3695,4647,3947,2163,4307,3243,3687,4659,4271,867,4011,771,4335,2067,3335,1947,9519,8890,9511,3364,3364,773,4648,701,2164,737,3244,3688,4660,1025,868,4012,772,4336,2068,1709,1948,9520,8881,6912,3365,3365,772,4649,700,2165,736,3245,3689,4661,1024,869,4013,773,4337,2069,1708,1949,9521,8880,6913,3366,3366,775,4650,703,2166,739,3246,3690,4662,1027,870,4014,774,4338,2070,1711,1950,9522,8883,6914,3367,3367,774,4651,702,2167,738,3247,3691,4663,1026,871,4015,775,4339,2071,1710,1951,9523,8882,6915,3368,3368,4332,4652,3612,2168,3972,3248,3692,4664,3288,872,4016,776,4340,2072,3648,1952,9524,8884,7569,3369,3369,4333,4653,3613,2169,3973,3249,3693,4665,3289,873,4017,777,4341,2073,3649,1953,9525,8885,7568,3370,3370,4334,4654,3614,2170,3974,3250,3694,4666,3290,874,4018,778,4342,2074,3650,1954,9526,8886,7571,3371,3371,4335,4655,3615,2171,3975,3251,3695,4667,3291,875,4019,779,4343,2075,3651,1955,9527,8887,7570,3372,3372,3704,4022,3956,5426,4316,2618,3696,4668,4280,4130,4020,780,4344,2076,3344,3914,9528,8867,8886,3373,3373,3705,4023,3957,5427,4317,2619,3697,4669,4281,4131,4021,781,4345,2077,3345,3915,9529,8866,8887,3374,3374,3706,4020,3958,5424,4318,2616,3698,4670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77,4477,4521,3385,4557,4465,4485,1981,4801,3181,4881,3169,5125,1885,5449,589,5457,3277,553,9661,4583,4478,4478,4522,3386,4558,4466,4486,1982,4802,3182,4882,3170,5126,1886,5450,590,5458,3278,554,9662,4580,4479,4479,4523,3387,4559,4467,4487,1983,4803,3183,4883,3171,5127,1887,5451,591,5459,3279,555,9663,4581,4480,4480,4193,3388,3581,4468,3833,1984,4804,3184,3257,3172,5128,1888,5452,592,3509,3280,556,9664,2635,4481,4481,4192,3389,3580,4469,3832,1985,4805,3185,3256,3173,5129,1889,5453,593,3508,3281,557,9665,2634,4482,4482,4195,3390,3583,4470,3835,1986,4806,3186,3259,3174,5130,1890,5454,594,3511,3282,558,9666,2633,4483,4483,4194,3391,3582,4471,3834,1987,4807,3187,3258,3175,5131,1891,5455,595,3510,3283,559,9667,2632,4484,4484,4836,3392,5196,4472,5448,1988,4808,3188,5520,3176,5132,1892,5456,596,4476,3284,560,9668,5546,4485,4485,4837,3393,5197,4473,5449,1989,4809,3189,5521,3177,5133,1893,5457,597,4477,3285,561,9669,5547,4486,4486,4838,3394,5198,4474,5450,1990,4810,3190,5522,3178,5134,1894,5458,598,4478,3286,562,9670,5544,4487,4487,4839,3395,5199,4475,5451,1991,4811,3191,5523,3179,5135,1895,5459,599,4479,3287,563,9671,5545,4488,4488,4532,1790,4568,1574,4496,1682,4812,3192,4892,2870,5136,1896,5460,600,5468,5570,564,9672,4592,4489,4489,4533,1791,4569,1575,4497,1683,4813,3193,4893,2871,5137,1897,5461,601,5469,5571,565,9673,4593,4490,4490,4534,1788,4570,1572,4498,1680,4814,3194,4894,2868,5138,1898,5462,602,5470,5568,566,9674,4594,4491,4491,4535,1789,4571,1573,4499,1681,4815,3195,4895,2869,5139,1899,5463,603,5471,5569,567,9675,4595,4492,4492,4205,1794,3593,1578,3845,1686,4816,3196,3269,2874,5140,1900,5464,604,3521,5574,568,9676,2645,4493,4493,4204,1795,3592,1579,3844,1687,4817,3197,3268,2875,5141,1901,5465,605,3520,5575,569,9677,2644,4494,4494,4207,1792,3595,1576,3847,1684,4818,3198,3271,2872,5142,1902,5466,606,3523,5572,570,9678,2647,4495,4495,4206,1793,3594,1577,3846,1685,4819,3199,3270,2873,5143,1903,5467,607,3522,5573,571,9679,2646,4496,4496,4848,1798,5208,1582,5460,1690,4820,3200,5532,2878,5144,1904,5468,608,4488,5578,572,9680,5556,4497,4497,4849,1799,5209,1583,5461,1691,4821,3201,5533,2879,5145,1905,5469,609,4489,5579,573,9681,5557,4498,4498,4850,1796,5210,1580,5462,1688,4822,3202,5534,2876,5146,1906,5470,610,4490,5576,574,9682,5558,4499,4499,4851,1797,5211,1581,5463,1689,4823,3203,5535,2877,5147,1907,5471,611,4491,5577,575,9683,5559,4500,4500,5444,2136,4832,3216,5192,4620,4824,3204,4508,4512,5148,1908,5472,612,4868,732,4233,4642,6152,4501,4501,5445,2137,4833,3217,5193,4621,4825,3205,4509,4513,5149,1909,5473,613,4869,733,4232,4643,6153,4502,4502,5446,2138,4834,3218,5194,4622,4826,3206,4510,4514,5150,1910,5474,614,4870,734,4235,4640,6154,4503,4503,5447,2139,4835,3219,5195,4623,4827,3207,4511,4515,5151,1911,5475,615,4871,735,4234,4641,6155,4504,4504,3497,2140,3857,3220,4217,4624,4828,3208,4181,4516,5152,1912,5476,616,3245,736,4225,3019,8417,4505,4505,3496,2141,3856,3221,4216,4625,4829,3209,4180,4517,5153,1913,5477,617,3244,737,4224,3018,8416,4506,4506,3499,2142,3859,3222,4219,4626,4830,3210,4183,4518,5154,1914,5478,618,3247,738,4227,3017,8419,4507,4507,3498,2143,3858,3223,4218,4627,4831,3211,4182,4519,5155,1915,5479,619,3246,739,4226,3016,8418,4508,4508,4464,2144,4500,3224,4536,4628,4832,3212,4824,4520,5156,1916,5480,620,5508,740,4228,4958,9708,4509,4509,4465,2145,4501,3225,4537,4629,4833,3213,4825,4521,5157,1917,5481,621,5509,741,4229,4959,9709,4510,4510,4466,2146,4502,3226,4538,4630,4834,3214,4826,4522,5158,1918,5482,622,5510,742,4230,4956,9710,4511,4511,4467,2147,4503,3227,4539,4631,4835,3215,4827,4523,5159,1919,5483,623,5511,743,4231,4957,9711,4512,4512,5456,3420,4844,4500,5204,2016,4836,3216,4520,3204,5160,1920,5484,624,4880,3312,5517,4618,7762,4513,4513,5457,3421,4845,4501,5205,2017,4837,3217,4521,3205,5161,1921,5485,625,4881,3313,5516,4619,7763,4514,4514,5458,3422,4846,4502,5206,2018,4838,3218,4522,3206,5162,1922,5486,626,4882,3314,5519,4616,7760,4515,4515,5459,3423,4847,4503,5207,2019,4839,3219,4523,3207,5163,1923,5487,627,4883,3315,5518,4617,7761,4516,4516,3509,3424,3869,4504,4229,2020,4840,3220,4193,3208,5164,1924,5488,628,3257,3316,5509,2995,10675,4517,4517,3508,3425,3868,4505,4228,2021,4841,3221,4192,3209,5165,1925,5489,629,3256,3317,5508,2994,10674,4518,4518,3511,3426,3871,4506,4231,2022,4842,3222,4195,3210,5166,1926,5490,630,3259,3318,5511,2993,10673,4519,4519,3510,3427,3870,4507,4230,2023,4843,3223,4194,3211,5167,1927,5491,631,3258,3319,5510,2992,10672,4520,4520,4476,3428,4512,4508,4548,2024,4844,3224,4836,3212,5168,1928,5492,632,5520,3320,5512,4934,9374,4521,4521,4477,3429,4513,4509,4549,2025,4845,3225,4837,3213,5169,1929,5493,633,5521,3321,5513,4935,9375,4522,4522,4478,3430,4514,4510,4550,2026,4846,3226,4838,3214,5170,1930,5494,634,5522,3322,5514,4932,9372,4523,4523,4479,3431,4515,4511,4551,2027,4847,3227,4839,3215,5171,1931,5495,635,5523,3323,5515,4933,9373,4524,4524,5468,1178,4856,962,5216,1070,4848,3228,4532,2258,5172,1932,5496,636,4892,4958,1007,4628,5804,4525,4525,5469,1179,4857,963,5217,1071,4849,3229,4533,2259,5173,1933,5497,637,4893,4959,1006,4629,5805,4526,4526,5470,1176,4858,960,5218,1068,4850,3230,4534,2256,5174,1934,5498,638,4894,4956,1005,4630,5806,4527,4527,5471,1177,4859,961,5219,1069,4851,3231,4535,2257,5175,1935,5499,639,4895,4957,1004,4631,5807,4528,4528,3521,1182,3881,966,4241,1074,4852,3232,4205,2262,5176,1936,5500,640,3269,4962,999,3005,8717,4529,4529,3520,1183,3880,967,4240,1075,4853,3233,4204,2263,5177,1937,5501,641,3268,4963,998,3004,8716,4530,4530,3523,1180,3883,964,4243,1072,4854,3234,4207,2260,5178,1938,5502,642,3271,4960,997,3007,8719,4531,4531,3522,1181,3882,965,4242,1073,4855,3235,4206,2261,5179,1939,5503,643,3270,4961,996,3006,8718,4532,4532,4488,1186,4524,970,4560,1078,4856,3236,4848,2266,5180,1940,5504,644,5532,4966,1002,4944,10008,4533,4533,4489,1187,4525,971,4561,1079,4857,3237,4849,2267,5181,1941,5505,645,5533,4967,1003,4945,10009,4534,4534,4490,1184,4526,968,4562,1076,4858,3238,4850,2264,5182,1942,5506,646,5534,4964,1000,4946,10010,4535,4535,4491,1185,4527,969,4563,1077,4859,3239,4851,2265,5183,1943,5507,647,5535,4965,1001,4947,10011,4536,4536,4868,2172,5120,3252,5480,4656,4860,3240,5444,4548,5184,1944,5508,648,4508,768,5489,6512,9720,4537,4537,4869,2173,5121,3253,5481,4657,4861,3241,5445,4549,5185,1945,5509,649,4509,769,5488,6513,9721,4538,4538,4870,2174,5122,3254,5482,4658,4862,3242,5446,4550,5186,1946,5510,650,4510,770,5491,6514,9722,4539,4539,4871,2175,5123,3255,5483,4659,4863,3243,5447,4551,5187,1947,5511,651,4511,771,5490,6515,9723,4540,4540,3245,2176,3173,3256,3209,4660,4864,3244,3497,4552,5188,1948,5512,652,4181,772,5492,8453,9724,4541,4541,3244,2177,3172,3257,3208,4661,4865,3245,3496,4553,5189,1949,5513,653,4180,773,5493,8452,9725,4542,4542,3247,2178,3175,3258,3211,4662,4866,3246,3499,4554,5190,1950,5514,654,4183,774,5494,8455,9726,4543,4543,3246,2179,3174,3259,3210,4663,4867,3247,3498,4555,5191,1951,5515,655,4182,775,5495,8454,9727,4544,4544,5508,2180,4788,3260,5148,4664,4868,3248,4464,4556,5192,1952,5516,656,4824,776,5485,9744,9728,4545,4545,5509,2181,4789,3261,5149,4665,4869,3249,4465,4557,5193,1953,5517,657,4825,777,5484,9745,9729,4546,4546,5510,2182,4790,3262,5150,4666,4870,3250,4466,4558,5194,1954,5518,658,4826,778,5487,9746,9730,4547,4547,5511,2183,4791,3263,5151,4667,4871,3251,4467,4559,5195,1955,5519,659,4827,779,5486,9747,9731,4548,4548,4880,3456,5132,4536,5492,2052,4872,3252,5456,3240,5196,1956,5520,660,4520,3348,4181,8122,9732,4549,4549,4881,3457,5133,4537,5493,2053,4873,3253,5457,3241,5197,1957,5521,661,4521,3349,4180,8123,9733,4550,4550,4882,3458,5134,4538,5494,2054,4874,3254,5458,3242,5198,1958,5522,662,4522,3350,4183,8120,9734,4551,4551,4883,3459,5135,4539,5495,2055,4875,3255,5459,3243,5199,1959,5523,663,4523,3351,4182,8121,9735,4552,4552,3257,3460,3185,4540,3221,2056,4876,3256,3509,3244,5200,1960,5524,664,4193,3352,4184,10063,9736,4553,4553,3256,3461,3184,4541,3220,2057,4877,3257,3508,3245,5201,1961,5525,665,4192,3353,4185,10062,9737,4554,4554,3259,3462,3187,4542,3223,2058,4878,3258,3511,3246,5202,1962,5526,666,4195,3354,4186,10061,9738,4555,4555,3258,3463,3186,4543,3222,2059,4879,3259,3510,3247,5203,1963,5527,667,4194,3355,4187,10060,9739,4556,4556,5520,3464,4800,4544,5160,2060,4880,3260,4476,3248,5204,1964,5528,668,4836,3356,4177,8762,9740,4557,4557,5521,3465,4801,4545,5161,2061,4881,3261,4477,3249,5205,1965,5529,669,4837,3357,4176,8763,9741,4558,4558,5522,3466,4802,4546,5162,2062,4882,3262,4478,3250,5206,1966,5530,670,4838,3358,4179,8760,9742,4559,4559,5523,3467,4803,4547,5163,2063,4883,3263,4479,3251,5207,1967,5531,671,4839,3359,4178,8761,9743,4560,4560,4892,1538,5144,1322,5504,1430,4884,3264,5468,2618,5208,1968,5532,672,4532,5318,2587,5840,9744,4561,4561,4893,1539,5145,1323,5505,1431,4885,3265,5469,2619,5209,1969,5533,673,4533,5319,2586,5841,9745,4562,4562,4894,1536,5146,1320,5506,1428,4886,3266,5470,2616,5210,1970,5534,674,4534,5316,2585,5842,9746,4563,4563,4895,1537,5147,1321,5507,1429,4887,3267,5471,2617,5211,1971,5535,675,4535,5317,2584,5843,9747,4564,4564,3269,1542,3197,1326,3233,1434,4888,3268,3521,2622,5212,1972,5536,676,4205,5322,2590,9077,9748,4565,4565,3268,1543,3196,1327,3232,1435,4889,3269,3520,2623,5213,1973,5537,677,4204,5323,2591,9076,9749,4566,4566,3271,1540,3199,1324,3235,1432,4890,3270,3523,2620,5214,1974,5538,678,4207,5320,2588,9079,9750,4567,4567,3270,1541,3198,1325,3234,1433,4891,3271,3522,2621,5215,1975,5539,679,4206,5321,2589,9078,9751,4568,4568,5532,1546,4812,1330,5172,1438,4892,3272,4488,2626,5216,1976,5540,680,4848,5326,2583,10368,9752,4569,4569,5533,1547,4813,1331,5173,1439,4893,3273,4489,2627,5217,1977,5541,681,4849,5327,2582,10369,9753,4570,4570,5534,1544,4814,1328,5174,1436,4894,3274,4490,2624,5218,1978,5542,682,4850,5324,2581,10370,9754,4571,4571,5535,1545,4815,1329,5175,1437,4895,3275,4491,2625,5219,1979,5543,683,4851,5325,2580,10371,9755,4572,4572,4616,3288,4652,4692,4580,1884,4896,3276,4976,3396,5220,1980,5544,684,5552,3180,5686,7504,5458,4573,4573,4617,3289,4653,4693,4581,1885,4897,3277,4977,3397,5221,1981,5545,685,5553,3181,5687,7505,5459,4574,4574,4618,3290,4654,4694,4582,1886,4898,3278,4978,3398,5222,1982,5546,686,5554,3182,5684,7506,5456,4575,4575,4619,3291,4655,4695,4583,1887,4899,3279,4979,3399,5223,1983,5547,687,5555,3183,5685,7507,5457,4576,4576,2993,3292,2381,4696,2633,1888,4900,3280,2057,3400,5224,1984,5548,688,2309,3184,1147,10092,3511,4577,4577,2992,3293,2380,4697,2632,1889,4901,3281,2056,3401,5225,1985,5549,689,2308,3185,1146,10093,3510,4578,4578,2995,3294,2383,4698,2635,1890,4902,3282,2059,3402,5226,1986,5550,690,2311,3186,1145,10094,3509,4579,4579,2994,3295,2382,4699,2634,1891,4903,3283,2058,3403,5227,1987,5551,691,2310,3187,1144,10095,3508,4580,4580,4932,3296,5292,4700,5544,1892,4904,3284,5616,3404,5228,1988,5552,692,4572,3188,4706,9129,4478,4581,4581,4933,3297,5293,4701,5545,1893,4905,3285,5617,3405,5229,1989,5553,693,4573,3189,4707,9128,4479,4582,4582,4934,3298,5294,4702,5546,1894,4906,3286,5618,3406,5230,1990,5554,694,4574,3190,4704,9131,4476,4583,4583,4935,3299,5295,4703,5547,1895,4907,3287,5619,3407,5231,1991,5555,695,4575,3191,4705,9130,4477,4584,4584,4628,684,4664,792,4592,576,4908,3288,4988,2088,5232,1992,5556,696,5564,4464,5662,9760,5468,4585,4585,4629,685,4665,793,4593,577,4909,3289,4989,2089,5233,1993,5557,697,5565,4465,5663,9761,5469,4586,4586,4630,686,4666,794,4594,578,4910,3290,4990,2090,5234,1994,5558,698,5566,4466,5660,9762,5470,4587,4587,4631,687,4667,795,4595,579,4911,3291,4991,2091,5235,1995,5559,699,5567,4467,5661,9763,5471,4588,4588,3005,688,2393,796,2645,580,4912,3292,2069,2092,5236,1996,5560,700,2321,4468,1123,7164,3521,4589,4589,3004,689,2392,797,2644,581,4913,3293,2068,2093,5237,1997,5561,701,2320,4469,1122,7165,3520,4590,4590,3007,690,2395,798,2647,582,4914,3294,2071,2094,5238,1998,5562,702,2323,4470,1121,7166,3523,4591,4591,3006,691,2394,799,2646,583,4915,3295,2070,2095,5239,1999,5563,703,2322,4471,1120,7167,3522,4592,4592,4944,692,5304,800,5556,584,4916,3296,5628,2096,5240,2000,5564,704,4584,4472,4682,6849,4488,4593,4593,4945,693,5305,801,5557,585,4917,3297,5629,2097,5241,2001,5565,705,4585,4473,4683,6848,4489,4594,4594,4946,694,5306,802,5558,586,4918,3298,5630,2098,5242,2002,5566,706,4586,4474,4680,6851,4490,4595,4595,4947,695,5307,803,5559,587,4919,3299,5631,2099,5243,2003,5567,707,4587,4475,4681,6850,4491,4596,4596,4640,2978,4676,4382,4604,5462,4920,3300,5000,5678,5244,2004,5568,708,5576,1574,5672,10758,5446,4597,4597,4641,2979,4677,4383,4605,5463,4921,3301,5001,5679,5245,2005,5569,709,5577,1575,5673,10759,5447,4598,4598,4642,2976,4678,4380,4606,5460,4922,3302,5002,5676,5246,2006,5570,710,5578,1572,5674,10756,5444,4599,4599,4643,2977,4679,4381,4607,5461,4923,3303,5003,5677,5247,2007,5571,711,5579,1573,5675,10757,5445,4600,4600,3017,2982,2405,4386,2657,5466,4924,3304,2081,5682,5248,2008,5572,712,2333,1578,1133,8162,3499,4601,4601,3016,2983,2404,4387,2656,5467,4925,3305,2080,5683,5249,2009,5573,713,2332,1579,1132,8163,3498,4602,4602,3019,2980,2407,4384,2659,5464,4926,3306,2083,5680,5250,2010,5574,714,2335,1576,1135,8160,3497,4603,4603,3018,2981,2406,4385,2658,5465,4927,3307,2082,5681,5251,2011,5575,715,2334,1577,1134,8161,3496,4604,4604,4956,2986,5316,4390,5568,5470,4928,3308,5640,5686,5252,2012,5576,716,4596,1582,4692,5903,4466,4605,4605,4957,2987,5317,4391,5569,5471,4929,3309,5641,5687,5253,2013,5577,717,4597,1583,4693,5902,4467,4606,4606,4958,2984,5318,4388,5570,5468,4930,3310,5642,5684,5254,2014,5578,718,4598,1580,4694,5901,4464,4607,4607,4959,2985,5319,4389,5571,5469,4931,3311,5643,5685,5255,2015,5579,719,4599,1581,4695,5900,4465,4608,4608,5552,3324,4940,4728,5300,1920,4932,3312,4616,3432,5256,2016,5580,720,4976,3216,9176,4846,9815,4609,4609,5553,3325,4941,4729,5301,1921,4933,3313,4617,3433,5257,2017,5581,721,4977,3217,9177,4847,9814,4610,4610,5554,3326,4942,4730,5302,1922,4934,3314,4618,3434,5258,2018,5582,722,4978,3218,9178,4844,9813,4611,4611,5555,3327,4943,4731,5303,1923,4935,3315,4619,3435,5259,2019,5583,723,4979,3219,9179,4845,9812,4612,4612,2309,3328,2669,4732,3029,1924,4936,3316,2993,3436,5260,2020,5584,724,2057,3220,8201,3871,9807,4613,4613,2308,3329,2668,4733,3028,1925,4937,3317,2992,3437,5261,2021,5585,725,2056,3221,8200,3870,9806,4614,4614,2311,3330,2671,4734,3031,1926,4938,3318,2995,3438,5262,2022,5586,726,2059,3222,8203,3869,9805,4615,4615,2310,3331,2670,4735,3030,1927,4939,3319,2994,3439,5263,2023,5587,727,2058,3223,8202,3868,9804,4616,4616,4572,3332,4608,4736,4644,1928,4940,3320,4932,3440,5264,2024,5588,728,5616,3224,10788,4514,9810,4617,4617,4573,3333,4609,4737,4645,1929,4941,3321,4933,3441,5265,2025,5589,729,5617,3225,10789,4515,9811,4618,4618,4574,3334,4610,4738,4646,1930,4942,3322,4934,3442,5266,2026,5590,730,5618,3226,10790,4512,9808,4619,4619,4575,3335,4611,4739,4647,1931,4943,3323,4935,3443,5267,2027,5591,731,5619,3227,10791,4513,9809,4620,4620,5564,720,4952,828,5312,612,4944,3324,4628,2124,5268,2028,5592,732,4988,4500,6250,4856,9825,4621,4621,5565,721,4953,829,5313,613,4945,3325,4629,2125,5269,2029,5593,733,4989,4501,6251,4857,9824,4622,4622,5566,722,4954,830,5314,614,4946,3326,4630,2126,5270,2030,5594,734,4990,4502,6248,4858,9827,4623,4623,5567,723,4955,831,5315,615,4947,3327,4631,2127,5271,2031,5595,735,4991,4503,6249,4859,9826,4624,4624,2321,724,2681,832,3041,616,4948,3328,3005,2128,5272,2032,5596,736,2069,4504,9811,3881,9817,4625,4625,2320,725,2680,833,3040,617,4949,3329,3004,2129,5273,2033,5597,737,2068,4505,9810,3880,9816,4626,4626,2323,726,2683,834,3043,618,4950,3330,3007,2130,5274,2034,5598,738,2071,4506,9809,3883,9819,4627,4627,2322,727,2682,835,3042,619,4951,3331,3006,2131,5275,2035,5599,739,2070,4507,9808,3882,9818,4628,4628,4584,728,4620,836,4656,620,4952,3332,4944,2132,5276,2036,5600,740,5628,4508,7214,4524,9820,4629,4629,4585,729,4621,837,4657,621,4953,3333,4945,2133,5277,2037,5601,741,5629,4509,7215,4525,9821,4630,4630,4586,730,4622,838,4658,622,4954,3334,4946,2134,5278,2038,5602,742,5630,4510,7212,4526,9822,4631,4631,4587,731,4623,839,4659,623,4955,3335,4947,2135,5279,2039,5603,743,5631,4511,7213,4527,9823,4632,4632,5576,2366,4964,3770,5324,4850,4956,3336,4640,5066,5280,2040,5604,744,5000,962,9476,4834,9803,4633,4633,5577,2367,4965,3771,5325,4851,4957,3337,4641,5067,5281,2041,5605,745,5001,963,9477,4835,9802,4634,4634,5578,2364,4966,3768,5326,4848,4958,3338,4642,5064,5282,2042,5606,746,5002,960,9478,4832,9801,4635,4635,5579,2365,4967,3769,5327,4849,4959,3339,4643,5065,5283,2043,5607,747,5003,961,9479,4833,9800,4636,4636,2333,2370,2693,3774,3053,4854,4960,3340,3017,5070,5284,2044,5608,748,2081,966,7853,3859,9795,4637,4637,2332,2371,2692,3775,3052,4855,4961,3341,3016,5071,5285,2045,5609,749,2080,967,7852,3858,9794,4638,4638,2335,2368,2695,3772,3055,4852,4962,3342,3019,5068,5286,2046,5610,750,2083,964,7855,3857,9793,4639,4639,2334,2369,2694,3773,3054,4853,4963,3343,3018,5069,5287,2047,5611,751,2082,965,7854,3856,9792,4640,4640,4596,2374,4632,3778,4668,4858,4964,3344,4956,5074,5288,2048,5612,752,5640,970,10440,4502,9798,4641,4641,4597,2375,4633,3779,4669,4859,4965,3345,4957,5075,5289,2049,5613,753,5641,971,10441,4503,9799,4642,4642,4598,2372,4634,3776,4670,4856,4966,3346,4958,5072,5290,2050,5614,754,5642,968,10442,4500,9796,4643,4643,4599,2373,4635,3777,4671,4857,4967,3347,4959,5073,5291,2051,5615,755,5643,969,10443,4501,9797,4644,4644,4976,3360,5228,4764,5588,1956,4968,3348,5552,3468,5292,2052,5616,756,4616,3252,10800,9851,8224,4645,4645,4977,3361,5229,4765,5589,1957,4969,3349,5553,3469,5293,2053,5617,757,4617,3253,10801,9850,8225,4646,4646,4978,3362,5230,4766,5590,1958,4970,3350,5554,3470,5294,2054,5618,758,4618,3254,10802,9849,8226,4647,4647,4979,3363,5231,4767,5591,1959,4971,3351,5555,3471,5295,2055,5619,759,4619,3255,10803,9848,8227,4648,4648,2057,3364,1985,4768,2021,1960,4972,3352,2309,3472,5296,2056,5620,760,2993,3256,10804,9843,10812,4649,4649,2056,3365,1984,4769,2020,1961,4973,3353,2308,3473,5297,2057,5621,761,2992,3257,10805,9842,10813,4650,4650,2059,3366,1987,4770,2023,1962,4974,3354,2311,3474,5298,2058,5622,762,2995,3258,10806,9841,10814,4651,4651,2058,3367,1986,4771,2022,1963,4975,3355,2310,3475,5299,2059,5623,763,2994,3259,10807,9840,10815,4652,4652,5616,3368,4896,4772,5256,1964,4976,3356,4572,3476,5300,2060,5624,764,4932,3260,10808,9846,8877,4653,4653,5617,3369,4897,4773,5257,1965,4977,3357,4573,3477,5301,2061,5625,765,4933,3261,10809,9847,8876,4654,4654,5618,3370,4898,4774,5258,1966,4978,3358,4574,3478,5302,2062,5626,766,4934,3262,10810,9844,8879,4655,4655,5619,3371,4899,4775,5259,1967,4979,3359,4575,3479,5303,2063,5627,767,4935,3263,10811,9845,8878,4656,4656,4988,756,5240,864,5600,648,4980,3360,5564,2160,5304,2064,5628,768,4628,4536,10812,9861,9832,4657,4657,4989,757,5241,865,5601,649,4981,3361,5565,2161,5305,2065,5629,769,4629,4537,10813,9860,9833,4658,4658,4990,758,5242,866,5602,650,4982,3362,5566,2162,5306,2066,5630,770,4630,4538,10814,9863,9834,4659,4659,4991,759,5243,867,5603,651,4983,3363,5567,2163,5307,2067,5631,771,4631,4539,10815,9862,9835,4660,4660,2069,760,1997,868,2033,652,4984,3364,2321,2164,5308,2068,5632,772,3005,4540,10816,9853,7236,4661,4661,2068,761,1996,869,2032,653,4985,3365,2320,2165,5309,2069,5633,773,3004,4541,10817,9852,7237,4662,4662,2071,762,1999,870,2035,654,4986,3366,2323,2166,5310,2070,5634,774,3007,4542,10818,9855,7238,4663,4663,2070,763,1998,871,2034,655,4987,3367,2322,2167,5311,2071,5635,775,3006,4543,10819,9854,7239,4664,4664,5628,764,4908,872,5268,656,4988,3368,4584,2168,5312,2072,5636,776,4944,4544,10820,9856,6597,4665,4665,5629,765,4909,873,5269,657,4989,3369,4585,2169,5313,2073,5637,777,4945,4545,10821,9857,6596,4666,4666,5630,766,4910,874,5270,658,4990,3370,4586,2170,5314,2074,5638,778,4946,4546,10822,9858,6599,4667,4667,5631,767,4911,875,5271,659,4991,3371,4587,2171,5315,2075,5639,779,4947,4547,10823,9859,6598,4668,4668,5000,2726,5252,4130,5612,5210,4992,3372,5576,5426,5316,2076,5640,780,4640,1322,10824,9839,10506,4669,4669,5001,2727,5253,4131,5613,5211,4993,3373,5577,5427,5317,2077,5641,781,4641,1323,10825,9838,10507,4670,4670,5002,2724,5254,4128,5614,5208,4994,3374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61,2008,931,3076,8811,2850,5250,5250,2371,2332,2731,3736,2983,4816,5574,3954,3055,5032,4602,2658,4926,1362,2011,928,3079,8808,2849,5251,5251,2370,2333,2730,3737,2982,4817,5575,3955,3054,5033,4603,2659,4927,1363,2010,929,3078,8809,2848,5252,5252,5604,2338,4992,3742,5244,4822,5576,3956,4668,5038,4604,2660,4928,1364,4920,934,4044,10439,1226,5253,5253,5605,2339,4993,3743,5245,4823,5577,3957,4669,5039,4605,2661,4929,1365,4921,935,4045,10438,1227,5254,5254,5606,2336,4994,3740,5246,4820,5578,3958,4670,5036,4606,2662,4930,1366,4922,932,4046,10437,1224,5255,5255,5607,2337,4995,3741,5247,4821,5579,3959,4671,5037,4607,2663,4931,1367,4923,933,4047,10436,1225,5256,5256,4904,3972,5264,5376,5624,2568,5580,3960,5588,4080,4608,2664,4932,1368,4652,3864,9824,1606,6575,5257,5257,4905,3973,5265,5377,5625,2569,5581,3961,5589,4081,4609,2665,4933,1369,4653,3865,9825,1607,6574,5258,5258,4906,3974,5266,5378,5626,2570,5582,3962,5590,4082,4610,2666,4934,1370,4654,3866,9826,1604,6573,5259,5259,4907,3975,5267,5379,5627,2571,5583,3963,5591,4083,4611,2667,4935,1371,4655,3867,9827,1605,6572,5260,5260,2957,3976,2345,5380,2705,2572,5584,3964,2021,4084,4612,2668,4936,1372,2381,3868,6257,1927,6567,5261,5261,2956,3977,2344,5381,2704,2573,5585,3965,2020,4085,4613,2669,4937,1373,2380,3869,6256,1926,6566,5262,5262,2959,3978,2347,5382,2707,2574,5586,3966,2023,4086,4614,2670,4938,1374,2383,3870,6259,1925,6565,5263,5263,2958,3979,2346,5383,2706,2575,5587,3967,2022,4087,4615,2671,4939,1375,2382,3871,6258,1924,6564,5264,5264,5220,3980,5580,5384,4968,2576,5588,3968,5256,4088,4616,2672,4940,1376,5292,3872,8844,1274,6570,5265,5265,5221,3981,5581,5385,4969,2577,5589,3969,5257,4089,4617,2673,4941,1377,5293,3873,8845,1275,6571,5266,5266,5222,3982,5582,5386,4970,2578,5590,3970,5258,4090,4618,2674,4942,1378,5294,3874,8846,1272,6568,5267,5267,5223,3983,5583,5387,4971,2579,5591,3971,5259,4091,4619,2675,4943,1379,5295,3875,8847,1273,6569,5268,5268,4916,1368,5276,1476,5636,1260,5592,3972,5600,2772,4620,2676,4944,1380,4664,5148,8194,1616,6585,5269,5269,4917,1369,5277,1477,5637,1261,5593,3973,5601,2773,4621,2677,4945,1381,4665,5149,8195,1617,6584,5270,5270,4918,1370,5278,1478,5638,1262,5594,3974,5602,2774,4622,2678,4946,1382,4666,5150,8192,1618,6587,5271,5271,4919,1371,5279,1479,5639,1263,5595,3975,5603,2775,4623,2679,4947,1383,4667,5151,8193,1619,6586,5272,5272,2969,1372,2357,1480,2717,1264,5596,3976,2033,2776,4624,2680,4948,1384,2393,5152,9163,1937,6577,5273,5273,2968,1373,2356,1481,2716,1265,5597,3977,2032,2777,4625,2681,4949,1385,2392,5153,9162,1936,6576,5274,5274,2971,1374,2359,1482,2719,1266,5598,3978,2035,2778,4626,2682,4950,1386,2395,5154,9161,1939,6579,5275,5275,2970,1375,2358,1483,2718,1267,5599,3979,2034,2779,4627,2683,4951,1387,2394,5155,9160,1938,6578,5276,5276,5232,1376,5592,1484,4980,1268,5600,3980,5268,2780,4628,2684,4952,1388,5304,5156,6566,1284,6580,5277,5277,5233,1377,5593,1485,4981,1269,5601,3981,5269,2781,4629,2685,4953,1389,5305,5157,6567,1285,6581,5278,5278,5234,1378,5594,1486,4982,1270,5602,3982,5270,2782,4630,2686,4954,1390,5306,5158,6564,1286,6582,5279,5279,5235,1379,5595,1487,4983,1271,5603,3983,5271,2783,4631,2687,4955,1391,5307,5159,6565,1287,6583,5280,5280,4928,3014,5288,4418,5648,5498,5604,3984,5612,5714,4632,2688,4956,1392,4676,1610,10124,1594,6563,5281,5281,4929,3015,5289,4419,5649,5499,5605,3985,5613,5715,4633,2689,4957,1393,4677,1611,10125,1595,6562,5282,5282,4930,3012,5290,4416,5650,5496,5606,3986,5614,5712,4634,2690,4958,1394,4678,1608,10126,1592,6561,5283,5283,4931,3013,5291,4417,5651,5497,5607,3987,5615,5713,4635,2691,4959,1395,4679,1609,10127,1593,6560,5284,5284,2981,3018,2369,4422,2729,5502,5608,3988,2045,5718,4636,2692,4960,1396,2405,1614,5909,1915,6555,5285,5285,2980,3019,2368,4423,2728,5503,5609,3989,2044,5719,4637,2693,4961,1397,2404,1615,5908,1914,6554,5286,5286,2983,3016,2371,4420,2731,5500,5610,3990,2047,5716,4638,2694,4962,1398,2407,1612,5911,1913,6553,5287,5287,2982,3017,2370,4421,2730,5501,5611,3991,2046,5717,4639,2695,4963,1399,2406,1613,5910,1912,6552,5288,5288,5244,3022,5604,4426,4992,5506,5612,3992,5280,5722,4640,2696,4964,1400,5316,1618,8496,1262,6558,5289,5289,5245,3023,5605,4427,4993,5507,5613,3993,5281,5723,4641,2697,4965,1401,5317,1619,8497,1263,6559,5290,5290,5246,3020,5606,4424,4994,5504,5614,3994,5282,5720,4642,2698,4966,1402,5318,1616,8498,1260,6556,5291,5291,5247,3021,5607,4425,4995,5505,5615,3995,5283,5721,4643,2699,4967,1403,5319,1617,8499,1261,6557,5292,5292,5624,4008,4904,5412,5264,2604,5616,3996,4580,4116,4644,2700,4968,1404,4940,3900,8856,6611,8872,5293,5293,5625,4009,4905,5413,5265,2605,5617,3997,4581,4117,4645,2701,4969,1405,4941,3901,8857,6610,8873,5294,5294,5626,4010,4906,5414,5266,2606,5618,3998,4582,4118,4646,2702,4970,1406,4942,3902,8858,6609,8874,5295,5295,5627,4011,4907,5415,5267,2607,5619,3999,4583,4119,4647,2703,4971,1407,4943,3903,8859,6608,8875,5296,5296,2705,4012,2957,5416,2345,2608,5620,4000,2633,4120,4648,2704,4972,1408,2669,3904,8860,6603,6276,5297,5297,2704,4013,2956,5417,2344,2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9,2251,10779,5585,5585,1984,4301,2020,5705,2056,2897,5261,4289,2344,4409,4937,2993,4613,1697,3028,4193,7228,2250,10778,5586,5586,1987,4302,2023,5706,2059,2898,5262,4290,2347,4410,4938,2994,4614,1698,3031,4194,7231,2249,10777,5587,5587,1986,4303,2022,5707,2058,2899,5263,4291,2346,4411,4939,2995,4615,1699,3030,4195,7230,2248,10776,5588,5588,4896,4304,5256,5708,5616,2900,5264,4292,5580,4412,4940,2996,4616,1700,4644,4196,9816,1598,10782,5589,5589,4897,4305,5257,5709,5617,2901,5265,4293,5581,4413,4941,2997,4617,1701,4645,4197,9817,1599,10783,5590,5590,4898,4306,5258,5710,5618,2902,5266,4294,5582,4414,4942,2998,4618,1702,4646,4198,9818,1596,10780,5591,5591,4899,4307,5259,5711,5619,2903,5267,4295,5583,4415,4943,2999,4619,1703,4647,4199,9819,1597,10781,5592,5592,5240,1692,5600,1800,4988,1584,5268,4296,5276,3096,4944,3000,4620,1704,5312,5472,6574,1292,10797,5593,5593,5241,1693,5601,1801,4989,1585,5269,4297,5277,3097,4945,3001,4621,1705,5313,5473,6575,1293,10796,5594,5594,5242,1694,5602,1802,4990,1586,5270,4298,5278,3098,4946,3002,4622,1706,5314,5474,6572,1294,10799,5595,5595,5243,1695,5603,1803,4991,1587,5271,4299,5279,3099,4947,3003,4623,1707,5315,5475,6573,1295,10798,5596,5596,1997,1696,2033,1804,2069,1588,5272,4300,2357,3100,4948,3004,4624,1708,3041,5476,10783,2261,10789,5597,5597,1996,1697,2032,1805,2068,1589,5273,4301,2356,3101,4949,3005,4625,1709,3040,5477,10782,2260,10788,5598,5598,1999,1698,2035,1806,2071,1590,5274,4302,2359,3102,4950,3006,4626,1710,3043,5478,10781,2263,10791,5599,5599,1998,1699,2034,1807,2070,1591,5275,4303,2358,3103,4951,3007,4627,1711,3042,5479,10780,2262,10790,5600,5600,4908,1700,5268,1808,5628,1592,5276,4304,5592,3104,4952,3008,4628,1712,4656,5480,8186,1608,10792,5601,5601,4909,1701,5269,1809,5629,1593,5277,4305,5593,3105,4953,3009,4629,1713,4657,5481,8187,1609,10793,5602,5602,4910,1702,5270,1810,5630,1594,5278,4306,5594,3106,4954,3010,4630,1714,4658,5482,8184,1610,10794,5603,5603,4911,1703,5271,1811,5631,1595,5279,4307,5595,3107,4955,3011,4631,1715,4659,5483,8185,1611,10795,5604,5604,5252,2690,5612,4094,5000,5174,5280,4308,5288,5390,4956,3012,4632,1716,5324,1286,8504,1270,10775,5605,5605,5253,2691,5613,4095,5001,5175,5281,4309,5289,5391,4957,3013,4633,1717,5325,1287,8505,1271,10774,5606,5606,5254,2688,5614,4092,5002,5172,5282,4310,5290,5388,4958,3014,4634,1718,5326,1284,8506,1268,10773,5607,5607,5255,2689,5615,4093,5003,5173,5283,4311,5291,5389,4959,3015,4635,1719,5327,1285,8507,1269,10772,5608,5608,2009,2694,2045,4098,2081,5178,5284,4312,2369,5394,4960,3016,4636,1720,3053,1290,7529,2239,10767,5609,5609,2008,2695,2044,4099,2080,5179,5285,4313,2368,5395,4961,3017,4637,1721,3052,1291,7528,2238,10766,5610,5610,2011,2692,2047,4096,2083,5176,5286,4314,2371,5392,4962,3018,4638,1722,3055,1288,7531,2237,10765,5611,5611,2010,2693,2046,4097,2082,5177,5287,4315,2370,5393,4963,3019,4639,1723,3054,1289,7530,2236,10764,5612,5612,4920,2698,5280,4102,5640,5182,5288,4316,5604,5398,4964,3020,4640,1724,4668,1294,10116,1586,10770,5613,5613,4921,2699,5281,4103,5641,5183,5289,4317,5605,5399,4965,3021,4641,1725,4669,1295,10117,1587,10771,5614,5614,4922,2696,5282,4100,5642,5180,5290,4318,5606,5396,4966,3022,4642,1726,4670,1292,10118,1584,10768,5615,5615,4923,2697,5283,4101,5643,5181,5291,4319,5607,5397,4967,3023,4643,1727,4671,1293,10119,1585,10769,5616,5616,4652,4332,4580,5736,4616,2928,5292,4320,4904,4440,4968,3024,4644,1728,5588,4224,9828,6935,7252,5617,5617,4653,4333,4581,5737,4617,2929,5293,4321,4905,4441,4969,3025,4645,1729,5589,4225,9829,6934,7253,5618,5618,4654,4334,4582,5738,4618,2930,5294,4322,4906,4442,4970,3026,4646,1730,5590,4226,9830,6933,7254,5619,5619,4655,4335,4583,5739,4619,2931,5295,4323,4907,4443,4971,3027,4647,1731,5591,4227,9831,6932,7255,5620,5620,2381,4336,2633,5740,2993,2932,5296,4324,2957,4444,4972,3028,4648,1732,2021,4228,9832,6927,9840,5621,5621,2380,4337,2632,5741,2992,2933,5297,4325,2956,4445,4973,3029,4649,1733,2020,4229,9833,6926,9841,5622,5622,2383,4338,2635,5742,2995,2934,5298,4326,2959,4446,4974,3030,4650,1734,2023,4230,9834,6925,9842,5623,5623,2382,4339,2634,5743,2994,2935,5299,4327,2958,4447,4975,3031,4651,1735,2022,4231,9835,6924,9843,5624,5624,5292,4340,5544,5744,4932,2936,5300,4328,5220,4448,4976,3032,4652,1736,5256,4232,9836,6930,9201,5625,5625,5293,4341,5545,5745,4933,2937,5301,4329,5221,4449,4977,3033,4653,1737,5257,4233,9837,6931,9200,5626,5626,5294,4342,5546,5746,4934,2938,5302,4330,5222,4450,4978,3034,4654,1738,5258,4234,9838,6928,9203,5627,5627,5295,4343,5547,5747,4935,2939,5303,4331,5223,4451,4979,3035,4655,1739,5259,4235,9839,6929,9202,5628,5628,4664,1728,4592,1836,4628,1620,5304,4332,4916,3132,4980,3036,4656,1740,5600,5508,9840,6945,10804,5629,5629,4665,1729,4593,1837,4629,1621,5305,4333,4917,3133,4981,3037,4657,1741,5601,5509,9841,6944,10805,5630,5630,4666,1730,4594,1838,4630,1622,5306,4334,4918,3134,4982,3038,4658,1742,5602,5510,9842,6947,10806,5631,5631,4667,1731,4595,1839,4631,1623,5307,4335,4919,3135,4983,3039,4659,1743,5603,5511,9843,6946,10807,5632,5632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6,10638,8913,4254,6101,8151,8151,10453,6859,10813,6967,10093,6751,7827,6855,10489,8263,7503,10743,7179,9447,10417,10639,8912,4255,6100,8152,8152,10458,9444,10818,10848,10098,8040,7828,6856,10494,9552,7504,10744,7180,9448,10422,9336,8907,1332,6106,8153,8153,10459,9445,10819,10849,10099,8041,7829,6857,10495,9553,7505,10745,7181,9449,10423,9337,8906,1333,6107,8154,8154,10456,9446,10816,10850,10096,8042,7830,6858,10492,9554,7506,10746,7182,9450,10420,9338,8905,1334,6104,8155,8155,10457,9447,10817,10851,10097,8043,7831,6859,10493,9555,7507,10747,7183,9451,10421,9339,8904,1335,6105,8156,8156,10462,9777,10822,7293,10102,8373,7832,6860,10498,5997,7508,10748,7184,9452,10426,7077,8910,1017,6099,8157,8157,10463,9776,10823,7292,10103,8372,7833,6861,10499,5996,7509,10749,7185,9453,10427,7076,8911,1016,6098,8158,8158,10460,9779,10820,7295,10100,8375,7834,6862,10496,5999,7510,10750,7186,9454,10424,7079,8908,1019,6097,8159,8159,10461,9778,10821,7294,10101,8374,7835,6863,10497,5998,7511,10751,7187,9455,10425,7078,8909,1018,6096,8160,8160,7200,6868,7236,6976,7164,6760,7836,6864,7560,8272,7512,10752,7188,9456,8136,10648,7281,4602,7061,8161,8161,7201,6869,7237,6977,7165,6761,7837,6865,7561,8273,7513,10753,7189,9457,8137,10649,7280,4603,7060,8162,8162,7202,6870,7238,6978,7166,6762,7838,6866,7562,8274,7514,10754,7190,9458,8138,10650,7283,4600,7063,8163,8163,7203,6871,7239,6979,7167,6763,7839,6867,7563,8275,7515,10755,7191,9459,8139,10651,7282,4601,7062,8164,8164,7204,9456,7240,10860,7168,8052,7840,6868,7564,9564,7516,10756,7192,9460,8140,9348,7273,2330,7064,8165,8165,7205,9457,7241,10861,7169,8053,7841,6869,7565,9565,7517,10757,7193,9461,8141,9349,7272,2331,7065,8166,8166,7206,9458,7242,10862,7170,8054,7842,6870,7566,9566,7518,10758,7194,9462,8142,9350,7275,2328,7066,8167,8167,7207,9459,7243,10863,7171,8055,7843,6871,7567,9567,7519,10759,7195,9463,8143,9351,7274,2329,7067,8168,8168,7208,9789,7244,7305,7172,8385,7844,6872,7568,6009,7520,10760,7196,9464,8144,7089,7276,2663,7057,8169,8169,7209,9788,7245,7304,7173,8384,7845,6873,7569,6008,7521,10761,7197,9465,8145,7088,7277,2662,7056,8170,8170,7210,9791,7246,7307,7174,8387,7846,6874,7570,6011,7522,10762,7198,9466,8146,7091,7278,2661,7059,8171,8171,7211,9790,7247,7306,7175,8386,7847,6875,7571,6010,7523,10763,7199,9467,8147,7090,7279,2660,7058,8172,8172,7836,6880,8196,6988,7584,6772,7848,6876,7872,8284,7524,10764,7200,9468,7908,10660,1400,9389,2047,8173,8173,7837,6881,8197,6989,7585,6773,7849,6877,7873,8285,7525,10765,7201,9469,7909,10661,1401,9388,2046,8174,8174,7838,6882,8198,6990,7586,6774,7850,6878,7874,8286,7526,10766,7202,9470,7910,10662,1402,9391,2045,8175,8175,7839,6883,8199,6991,7587,6775,7851,6879,7875,8287,7527,10767,7203,9471,7911,10663,1403,9390,2044,8176,8176,7840,9468,8200,10872,7588,8064,7852,6880,7876,9576,7528,10768,7204,9472,7912,9360,3665,9392,2050,8177,8177,7841,9469,8201,10873,7589,8065,7853,6881,7877,9577,7529,10769,7205,9473,7913,9361,3664,9393,2051,8178,8178,7842,9470,8202,10874,7590,8066,7854,6882,7878,9578,7530,10770,7206,9474,7914,9362,3667,9394,2048,8179,8179,7843,9471,8203,10875,7591,8067,7855,6883,7879,9579,7531,10771,7207,9475,7915,9363,3666,9395,2049,8180,8180,7844,10449,8204,7965,7592,9045,7856,6884,7880,6669,7532,10772,7208,9476,7916,7749,1716,9385,2043,8181,8181,7845,10448,8205,7964,7593,9044,7857,6885,7881,6668,7533,10773,7209,9477,7917,7748,1717,9384,2042,8182,8182,7846,10451,8206,7967,7594,9047,7858,6886,7882,6671,7534,10774,7210,9478,7918,7751,1718,9387,2041,8183,8183,7847,10450,8207,7966,7595,9046,7859,6887,7883,6670,7535,10775,7211,9479,7919,7750,1719,9386,2040,8184,8184,9770,6892,9806,7000,9842,6784,7860,6888,10130,8296,7536,10776,7212,9480,10814,10672,5602,9703,2023,8185,8185,9771,6893,9807,7001,9843,6785,7861,6889,10131,8297,7537,10777,7213,9481,10815,10673,5603,9702,2022,8186,8186,9768,6894,9804,7002,9840,6786,7862,6890,10128,8298,7538,10778,7214,9482,10812,10674,5600,9701,2021,8187,8187,9769,6895,9805,7003,9841,6787,7863,6891,10129,8299,7539,10779,7215,9483,10813,10675,5601,9700,2020,8188,8188,9774,9480,9810,10884,9846,8076,7864,6892,10134,9588,7540,10780,7216,9484,10818,9372,2035,9706,2026,8189,8189,9775,9481,9811,10885,9847,8077,7865,6893,10135,9589,7541,10781,7217,9485,10819,9373,2034,9707,2027,8190,8190,9772,9482,9808,10886,9844,8078,7866,6894,10132,9590,7542,10782,7218,9486,10816,9374,2033,9704,2024,8191,8191,9773,9483,9809,10887,9845,8079,7867,6895,10133,9591,7543,10783,7219,9487,10817,9375,2032,9705,2025,8192,8192,9778,10461,9814,7977,9850,9057,7868,6896,10138,6681,7544,10784,7220,9488,10822,7761,5270,9699,2019,8193,8193,9779,10460,9815,7976,9851,9056,7869,6897,10139,6680,7545,10785,7221,9489,10823,7760,5271,9698,2018,8194,8194,9776,10463,9812,7979,9848,9059,7870,6898,10136,6683,7546,10786,7222,9490,10820,7763,5268,9697,2017,8195,8195,9777,10462,9813,7978,9849,9058,7871,6899,10137,6682,7547,10787,7223,9491,10821,7762,5269,9696,2016,8196,8196,7488,6904,7848,7012,8208,6796,7872,6900,8172,8308,7548,10788,7224,9492,7236,10684,2996,9041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-CLIFF_INVERSE_DATA_2Q = 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616,737,4900,2021,4814,5506,1464,1508,4570,5534,1544,1212,4822,5174,1472,1824,2544,2588,3734,4426,2624,2292,3490,4454,2552,2904,3742,4094,5244,5288,2330,3022,5324,4992,2086,3050,5252,5604,2338,2690,5147,5499,1149,1501,4563,4895,1537,1869,4815,5507,1465,1509,2229,2581,4067,4419,2617,2949,3483,3815,2545,2589,3735,4427,4929,5281,2663,3015,5317,5649,2079,2411,5245,5289,2331,3023,3199,5502,5681,1504,4566,3271,1540,5429,4818,3235,1468,5069,1577,2584,2119,4422,2620,1325,3486,2191,2548,965,3738,2155,2981,5284,4603,3018,5320,2729,2082,4675,5248,2369,2334,4639,1238,1282,5330,5374,1318,986,5410,5078,1246,1598,5338,5690,1226,1270,1454,1498,1306,974,1534,1202,1234,1586,1462,1814,2630,2674,1346,1390,2710,2378,1426,1094,2638,2990,1354,1706,923,1275,5015,5367,1311,1643,5403,5735,1239,1283,5331,5375,911,1263,1139,1491,1299,1631,1527,1859,1227,1271,1455,1499,2315,2667,1031,1383,2703,3035,1419,1751,2631,2675,1347,1391,2863,1278,1771,5370,1314,2611,5406,1519,1242,2251,5334,1159,2851,1266,5671,1494,1302,2599,1530,5419,1230,2239,1458,5059,5551,2670,4267,1386,2706,5299,1422,4015,2634,4939,1350,3655,4464,4508,2100,2144,4868,4536,2504,2172,5444,4500,3080,2136,4476,4520,3384,3428,4880,4548,3788,3456,5456,4512,4364,3420,696,740,1980,2024,1100,768,2384,2052,1676,732,2960,2016,3501,3853,3729,4081,3889,4221,4117,4449,3817,3861,4045,4089,3513,3865,2421,2773,3901,4233,2809,3141,3829,3873,2737,2781,3621,3973,4905,5257,4009,4341,5293,5625,3937,3981,5221,5265,3821,4828,4049,2464,5512,3569,3148,3797,4468,4181,2104,4409,3833,4840,2741,3748,5524,3581,4432,2489,4480,4193,3388,3101,3941,1060,5225,2344,1744,3689,3028,4973,700,4301,1984,5585,3194,3238,5676,5072,3598,3266,5756,5424,4174,3230,4712,5064,1572,968,2114,2158,1652,1320,2518,2186,608,960,3094,2150,2976,2372,4598,4642,3056,2724,5002,4670,2012,2364,5578,4634,4823,5175,1473,1825,5211,5543,889,1221,5139,5183,1141,1833,2553,2905,3743,4095,1969,2301,4131,4463,2221,2913,4059,4103,5253,5605,2339,2691,4669,5001,2727,3059,4921,5613,2655,2699,5143,3558,1145,4744,4242,4891,5104,1865,3198,5503,5680,1505,2225,640,4063,2478,1000,2945,3162,3811,1576,2585,2118,4423,4925,2044,2659,4962,2404,5645,5646,2407,2980,5285,4602,3019,2858,2254,1766,1162,2938,2606,1846,1514,1894,2246,802,1154,2846,2242,5666,5062,2926,2594,5746,5414,1882,2234,4702,5054,5546,4942,4262,3658,5626,5294,4342,4010,4582,4934,3298,3650,1247,1599,5339,5691,663,995,4755,5087,915,1607,5007,5699,1235,1587,1463,1815,651,983,879,1211,903,1595,1131,1823,2639,2991,1355,1707,2055,2387,771,1103,2307,2999,1023,1715,919,1926,5011,834,2286,1639,1194,5731,2862,1279,1770,5371,907,1914,1135,4734,2274,1627,5094,1855,2850,1267,5670,1495,2311,4614,1027,3330,4974,3031,3690,1747,5550,2671,4266,1387,6043,5983,5823,5763,6343,6007,6123,5787,7027,6079,6807,5859,7227,7167,5935,5875,7527,7191,6235,5899,8211,7263,6919,5971,9927,9867,5827,5767,10227,9891,6127,5791,10911,9963,6811,5863,6038,5978,7122,7062,6338,6002,7422,7086,7022,6074,8106,7158,9822,9762,5930,5870,10122,9786,6230,5894,10806,9858,6914,5966,6042,5982,5822,5762,6342,6006,6122,5786,7026,6078,6806,5858,6047,5987,10042,10630,6347,6011,9694,10654,7031,6083,10054,10402,6262,6850,5939,5879,5914,6874,6239,5903,6274,6622,6923,5975,7666,8254,5831,5771,7318,8278,6131,5795,7678,8026,6815,5867,6031,10205,5811,7393,10889,5995,8077,5775,9953,6067,7141,5847,7215,10093,5923,8801,10777,7179,9485,5887,9841,7251,8549,5959,9915,6313,5815,7397,6997,9879,8081,5779,6061,9951,7145,5851,6026,10200,7110,6100,10884,5990,6784,7074,9948,6062,5848,7146,9810,7504,5918,8796,8188,9774,9480,5882,7252,9846,8544,5954,6030,10204,5810,7392,10888,5994,8076,5774,9952,6066,7140,5846,6035,10209,10030,9020,10893,5999,9056,10642,9957,6071,9092,10390,6250,9128,5927,8805,9164,6862,9489,5891,9200,6610,8553,5963,7654,9236,5819,7401,9272,8266,8085,5783,9308,8014,7149,5855,6017,6977,5797,6757,6041,5981,5821,5761,6401,6053,6181,5833,7201,8161,5909,6869,7225,7165,5933,5873,7585,7237,6293,5945,9901,10861,5801,6761,9925,9865,5825,5765,10285,9937,6185,5837,6012,6972,7096,8056,6036,5976,7120,7060,6396,6048,7480,7132,9796,10756,5904,6864,9820,9760,5928,5868,10180,9832,6288,5940,6016,6976,5796,6756,6040,5980,5820,5760,6400,6052,6180,5832,6021,6981,10016,9680,6045,5985,10040,10628,6405,6057,10724,10376,6236,5900,5913,6873,6260,6848,5937,5877,6944,6596,6297,5949,7640,7304,5805,6765,7664,8252,5829,5769,8348,8000,6189,5841,7663,8251,10035,10623,7315,8275,9687,10647,7675,8023,10047,10395,6255,6843,10147,10735,5907,6867,9799,10759,6267,6615,10159,10507,7659,8247,8743,9331,7311,8271,8395,9355,7671,8019,8755,9103,9926,9866,5826,5766,10226,9890,6126,5790,10910,9962,6810,5862,7230,7170,8522,8462,7530,7194,8822,8486,8214,7266,9506,8558,9930,9870,7118,7058,10230,9894,7418,7082,10914,9966,8102,7154,8963,9551,7126,7066,8615,9575,7426,7090,8975,9323,8110,7162,9826,9766,7559,8147,10126,9790,7211,8171,10810,9862,7571,7919,6046,5986,10043,10631,6346,6010,9695,10655,7030,6082,10055,10403,7651,9233,10023,9013,9269,8263,9049,10635,9305,8011,9085,10383,6243,9121,10135,7829,9157,6855,786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-CLIFF_LAYERS_TO_NUM_2Q = 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9),(26, 19, 9),(8, 19, 9),(0, 19, 13),(18, 19, 13),(9, 19, 13),(27, 19, 13),(21, 19, 13),(3, 19, 13),(30, 19, 13),(12, 19, 13),(24, 19, 13),(6, 19, 13),(33, 19, 13),(15, 19, 13),(10, 19, 13),(28, 19, 13),(1, 19, 13),(19, 19, 13),(31, 19, 13),(13, 19, 13),(22, 19, 13),(4, 19, 13),(34, 19, 13),(16, 19, 13),(25, 19, 13),(7, 19, 13),(11, 19, 13),(29, 19, 13),(2, 19, 13),(20, 19, 13),(32, 19, 13),(14, 19, 13),(23, 19, 13),(5, 19, 13),(35, 19, 13),(17, 19, 13),(26, 19, 13),(8, 19, 13),(0, 19, 2),(18, 19, 2),(9, 19, 2),(27, 19, 2),(21, 19, 2),(3, 19, 2),(30, 19, 2),(12, 19, 2),(24, 19, 2),(6, 19, 2),(33, 19, 2),(15, 19, 2),(10, 19, 2),(28, 19, 2),(1, 19, 2),(19, 19, 2),(31, 19, 2),(13, 19, 2),(22, 19, 2),(4, 19, 2),(34, 19, 2),(16, 19, 2),(25, 19, 2),(7, 19, 2),(11, 19, 2),(29, 19, 2),(2, 19, 2),(20, 19, 2),(32, 19, 2),(14, 19, 2),(23, 19, 2),(5, 19, 2),(35, 19, 2),(17, 19, 2),(26, 19, 2),(8, 19, 2),(0, 19, 6),(18, 19, 6),(9, 19, 6),(27, 19, 6),(21, 19, 6),(3, 19, 6),(30, 19, 6),(12, 19, 6),(24, 19, 6),(6, 19, 6),(33, 19, 6),(15, 19, 6),(10, 19, 6),(28, 19, 6),(1, 19, 6),(19, 19, 6),(31, 19, 6),(13, 19, 6),(22, 19, 6),(4, 19, 6),(34, 19, 6),(16, 19, 6),(25, 19, 6),(7, 19, 6),(11, 19, 6),(29, 19, 6),(2, 19, 6),(20, 19, 6),(32, 19, 6),(14, 19, 6),(23, 19, 6),(5, 19, 6),(35, 19, 6),(17, 19, 6),(26, 19, 6),(8, 19, 6),(0, 19, 10),(18, 19, 10),(9, 19, 10),(27, 19, 10),(21, 19, 10),(3, 19, 10),(30, 19, 10),(12, 19, 10),(24, 19, 10),(6, 19, 10),(33, 19, 10),(15, 19, 10),(10, 19, 10),(28, 19, 10),(1, 19, 10),(19, 19, 10),(31, 19, 10),(13, 19, 10),(22, 19, 10),(4, 19, 10),(34, 19, 10),(16, 19, 10),(25, 19, 10),(7, 19, 10),(11, 19, 10),(29, 19, 10),(2, 19, 10),(20, 19, 10),(32, 19, 10),(14, 19, 10),(23, 19, 10),(5, 19, 10),(35, 19, 10),(17, 19, 10),(26, 19, 10),(8, 19, 10),(0, 19, 14),(18, 19, 14),(9, 19, 14),(27, 19, 14),(21, 19, 14),(3, 19, 14),(30, 19, 14),(12, 19, 14),(24, 19, 14),(6, 19, 14),(33, 19, 14),(15, 19, 14),(10, 19, 14),(28, 19, 14),(1, 19, 14),(19, 19, 14),(31, 19, 14),(13, 19, 14),(22, 19, 14),(4, 19, 14),(34, 19, 14),(16, 19, 14),(25, 19, 14),(7, 19, 14),(11, 19, 14),(29, 19, 14),(2, 19, 14),(20, 19, 14),(32, 19, 14),(14, 19, 14),(23, 19, 14),(5, 19, 14),(35, 19, 14),(17, 19, 14),(26, 19, 14),(8, 19, 14),(0, 19, 3),(18, 19, 3),(9, 19, 3),(27, 19, 3),(21, 19, 3),(3, 19, 3),(30, 19, 3),(12, 19, 3),(24, 19, 3),(6, 19, 3),(33, 19, 3),(15, 19, 3),(10, 19, 3),(28, 19, 3),(1, 19, 3),(19, 19, 3),(31, 19, 3),(13, 19, 3),(22, 19, 3),(4, 19, 3),(34, 19, 3),(16, 19, 3),(25, 19, 3),(7, 19, 3),(11, 19, 3),(29, 19, 3),(2, 19, 3),(20, 19, 3),(32, 19, 3),(14, 19, 3),(23, 19, 3),(5, 19, 3),(35, 19, 3),(17, 19, 3),(26, 19, 3),(8, 19, 3),(0, 19, 7),(18, 19, 7),(9, 19, 7),(27, 19, 7),(21, 19, 7),(3, 19, 7),(30, 19, 7),(12, 19, 7),(24, 19, 7),(6, 19, 7),(33, 19, 7),(15, 19, 7),(10, 19, 7),(28, 19, 7),(1, 19, 7),(19, 19, 7),(31, 19, 7),(13, 19, 7),(22, 19, 7),(4, 19, 7),(34, 19, 7),(16, 19, 7),(25, 19, 7),(7, 19, 7),(11, 19, 7),(29, 19, 7),(2, 19, 7),(20, 19, 7),(32, 19, 7),(14, 19, 7),(23, 19, 7),(5, 19, 7),(35, 19, 7),(17, 19, 7),(26, 19, 7),(8, 19, 7),(0, 19, 11),(18, 19, 11),(9, 19, 11),(27, 19, 11),(21, 19, 11),(3, 19, 11),(30, 19, 11),(12, 19, 11),(24, 19, 11),(6, 19, 11),(33, 19, 11),(15, 19, 11),(10, 19, 11),(28, 19, 11),(1, 19, 11),(19, 19, 11),(31, 19, 11),(13, 19, 11),(22, 19, 11),(4, 19, 11),(34, 19, 11),(16, 19, 11),(25, 19, 11),(7, 19, 11),(11, 19, 11),(29, 19, 11),(2, 19, 11),(20, 19, 11),(32, 19, 11),(14, 19, 11),(23, 19, 11),(5, 19, 11),(35, 19, 11),(17, 19, 11),(26, 19, 11),(8, 19, 11),(0, 19, 15),(18, 19, 15),(9, 19, 15),(27, 19, 15),(21, 19, 15),(3, 19, 15),(30, 19, 15),(12, 19, 15),(24, 19, 15),(6, 19, 15),(33, 19, 15),(15, 19, 15),(10, 19, 15),(28, 19, 15),(1, 19, 15),(19, 19, 15),(31, 19, 15),(13, 19, 15),(22, 19, 15),(4, 19, 15),(34, 19, 15),(16, 19, 15),(25, 19, 15),(7, 19, 15),(11, 19, 15),(29, 19, 15),(2, 19, 15),(20, 19, 15),(32, 19, 15),(14, 19, 15),(23, 19, 15),(5, 19, 15),(35, 19, 15),(17, 19, 15),(26, 19, 15),(8, 19, 15),]
-
-# fmt: on
diff --git a/qiskit_experiments/library/randomized_benchmarking/clifford_utils.py b/qiskit_experiments/library/randomized_benchmarking/clifford_utils.py
index 2c879968c0..04b4d275a6 100644
--- a/qiskit_experiments/library/randomized_benchmarking/clifford_utils.py
+++ b/qiskit_experiments/library/randomized_benchmarking/clifford_utils.py
@@ -1,6 +1,6 @@
 # This code is part of Qiskit.
 #
-# (C) Copyright IBM 2021.
+# (C) Copyright IBM 2021, 2022.
 #
 # This code is licensed under the Apache License, Version 2.0. You may
 # obtain a copy of this license in the LICENSE.txt file in the root directory
@@ -14,32 +14,23 @@
 """
 
 import itertools
+import os
 from functools import lru_cache
-from math import isclose
 from numbers import Integral
-from typing import List
 from typing import Optional, Union, Tuple, Sequence
 
 import numpy as np
+import scipy.sparse
 from numpy.random import Generator, default_rng
 
+from qiskit.circuit import CircuitInstruction, Qubit
 from qiskit.circuit import Gate, Instruction
-from qiskit.circuit import QuantumCircuit, QuantumRegister, CircuitInstruction, Qubit
+from qiskit.circuit import QuantumCircuit, QuantumRegister
 from qiskit.circuit.library import SdgGate, HGate, SGate, XGate, YGate, ZGate
 from qiskit.compiler import transpile
 from qiskit.exceptions import QiskitError
-from qiskit.providers.backend import Backend
 from qiskit.quantum_info import Clifford, random_clifford
-from .clifford_data import (
-    CLIFF_SINGLE_GATE_MAP_1Q,
-    CLIFF_SINGLE_GATE_MAP_2Q,
-    CLIFF_COMPOSE_DATA_1Q,
-    CLIFF_COMPOSE_DATA_2Q,
-    CLIFF_INVERSE_DATA_1Q,
-    CLIFF_INVERSE_DATA_2Q,
-    CLIFF_NUM_TO_LAYERS_2Q,
-    CLIFF_LAYERS_TO_NUM_2Q,
-)
+from qiskit_experiments.warnings import deprecated_function
 
 
 # Transpilation utilities
@@ -142,16 +133,7 @@ def _clifford_1q_int_to_instruction(
 def _clifford_2q_int_to_instruction(
     num: Integral, basis_gates: Optional[Tuple[str]]
 ) -> Instruction:
-    utils = __get_clifford_utils_2q(basis_gates)
-    return utils.transpiled_cliff_from_layer_nums(
-        utils.layer_indices_from_num(num)
-    ).to_instruction()
-    # return CliffordUtils.clifford_2_qubit_circuit(num, basis_gates).to_instruction()
-
-
-@lru_cache(maxsize=None)
-def __get_clifford_utils_2q(basis_gates: Optional[Tuple[str]]):
-    return CliffordUtils(2, basis_gates)
+    return CliffordUtils.clifford_2_qubit_circuit(num, basis_gates).to_instruction()
 
 
 # The classes VGate and WGate are not actually used in the code - we leave them here to give
@@ -192,30 +174,12 @@ class CliffordUtils:
     NUM_CLIFFORD_1_QUBIT = 24
     NUM_CLIFFORD_2_QUBIT = 11520
     CLIFFORD_1_QUBIT_SIG = (2, 3, 4)
-    CLIFFORD_2_QUBIT_SIGS = [
+    CLIFFORD_2_QUBIT_SIGS = [  # TODO: deprecate
         (2, 2, 3, 3, 4, 4),
         (2, 2, 3, 3, 3, 3, 4, 4),
         (2, 2, 3, 3, 3, 3, 4, 4),
         (2, 2, 3, 3, 4, 4),
     ]
-    CLIFF_SINGLE_GATE_MAP = {1: CLIFF_SINGLE_GATE_MAP_1Q, 2: CLIFF_SINGLE_GATE_MAP_2Q}
-    CLIFF_COMPOSE_DATA = {1: CLIFF_COMPOSE_DATA_1Q, 2: CLIFF_COMPOSE_DATA_2Q}
-    CLIFF_INVERSE_DATA = {1: CLIFF_INVERSE_DATA_1Q, 2: CLIFF_INVERSE_DATA_2Q}
-
-    NUM_LAYER_0 = 36
-    NUM_LAYER_1 = 20
-    NUM_LAYER_2 = 16
-
-    def __init__(self, num_qubits, basis_gates: List[str], backend: Optional[Backend] = None):
-        self.num_qubits = num_qubits
-        self.basis_gates = basis_gates
-        self._backend = backend
-        self._transpiled_cliffords_1q = []
-        self._transpiled_cliff_layer = {}
-        if self.num_qubits == 1:
-            self.transpile_1q_cliffords()
-        elif self.num_qubits == 2:
-            self.transpile_2q_cliff_layers()
 
     @classmethod
     @lru_cache(maxsize=24)
@@ -233,50 +197,49 @@ def clifford_2_qubit(cls, num):
         """
         return Clifford(cls.clifford_2_qubit_circuit(num), validate=False)
 
+    @deprecated_function()
+    @classmethod
     def random_cliffords(
-        self, num_qubits: int, size: int = 1, rng: Optional[Union[int, Generator]] = None
+        cls, num_qubits: int, size: int = 1, rng: Optional[Union[int, Generator]] = None
     ):
         """Generate a list of random clifford elements"""
-        if num_qubits > 2:
-            return random_clifford(num_qubits, seed=rng)
-
         if rng is None:
             rng = default_rng()
-
-        if isinstance(rng, int):
+        elif isinstance(rng, int):
             rng = default_rng(rng)
 
         if num_qubits == 1:
-            samples = rng.integers(24, size=size)
-            return [Clifford(self.clifford_1_qubit_circuit(i), validate=False) for i in samples]
-        else:
-            samples = rng.integers(11520, size=size)
-            return [Clifford(self.clifford_2_qubit_circuit(i), validate=False) for i in samples]
+            samples = rng.integers(cls.NUM_CLIFFORD_1_QUBIT, size=size)
+            return [Clifford(cls.clifford_1_qubit_circuit(i), validate=False) for i in samples]
+        if num_qubits == 2:
+            samples = rng.integers(cls.NUM_CLIFFORD_2_QUBIT, size=size)
+            return [Clifford(cls.clifford_2_qubit_circuit(i), validate=False) for i in samples]
 
-    def random_clifford_circuits(
-        self, size: int = 1, rng: Optional[Union[int, Generator]] = None
-    ) -> List[QuantumCircuit]:
-        """Generate a list of random clifford circuits.
-        Used for 3 or more qubits"""
-        if self.num_qubits > 2:
-            return [random_clifford(self.num_qubits, seed=rng).to_circuit() for _ in range(size)]
+        return [random_clifford(num_qubits, seed=rng) for _ in range(size)]
 
+    @deprecated_function()
+    @classmethod
+    def random_clifford_circuits(
+        cls, num_qubits: int, size: int = 1, rng: Optional[Union[int, Generator]] = None
+    ):
+        """Generate a list of random clifford circuits"""
         if rng is None:
             rng = default_rng()
-
-        if isinstance(rng, int):
+        elif isinstance(rng, int):
             rng = default_rng(rng)
 
-        if self.num_qubits == 1:
-            samples = rng.integers(CliffordUtils.NUM_CLIFFORD_1_QUBIT, size=size)
-            return [self.clifford_1_qubit_circuit(i) for i in samples]
-        else:
-            samples = rng.integers(CliffordUtils.NUM_CLIFFORD_2_QUBIT, size=size)
-            return [self.clifford_2_qubit_circuit(i) for i in samples]
+        if num_qubits == 1:
+            samples = rng.integers(cls.NUM_CLIFFORD_1_QUBIT, size=size)
+            return [cls.clifford_1_qubit_circuit(i) for i in samples]
+        if num_qubits == 2:
+            samples = rng.integers(cls.NUM_CLIFFORD_2_QUBIT, size=size)
+            return [cls.clifford_2_qubit_circuit(i) for i in samples]
+
+        return [random_clifford(num_qubits, seed=rng).to_circuit() for _ in range(size)]
 
     @classmethod
     @lru_cache(maxsize=24)
-    def clifford_1_qubit_circuit(cls, num, basis_gates: Optional[Tuple[str]] = None):
+    def clifford_1_qubit_circuit(cls, num, basis_gates: Optional[Tuple[str, ...]] = None):
         """Return the 1-qubit clifford circuit corresponding to `num`
         where `num` is between 0 and 23.
         """
@@ -303,62 +266,18 @@ def clifford_1_qubit_circuit(cls, num, basis_gates: Optional[Tuple[str]] = None)
 
     @classmethod
     @lru_cache(maxsize=11520)
-    def clifford_2_qubit_circuit(cls, num, basis_gates: Optional[Tuple[str]] = None):
+    def clifford_2_qubit_circuit(cls, num, basis_gates: Optional[Tuple[str, ...]] = None):
         """Return the 2-qubit clifford circuit corresponding to `num`
         where `num` is between 0 and 11519.
         """
-        vals = cls._unpack_num_multi_sigs(num, cls.CLIFFORD_2_QUBIT_SIGS)
         qc = QuantumCircuit(2, name=f"Clifford-2Q({num})")
-        if vals[0] == 0 or vals[0] == 3:
-            (form, i0, i1, j0, j1, p0, p1) = vals
-        else:
-            (form, i0, i1, j0, j1, k0, k1, p0, p1) = vals
-        if i0 == 1:
-            qc.h(0)
-        if i1 == 1:
-            qc.h(1)
-        if j0 == 1:
-            qc.sxdg(0)
-        if j0 == 2:
-            qc.s(0)
-        if j1 == 1:
-            qc.sxdg(1)
-        if j1 == 2:
-            qc.s(1)
-        if form in (1, 2, 3):
-            qc.cx(0, 1)
-        if form in (2, 3):
-            qc.cx(1, 0)
-        if form == 3:
-            qc.cx(0, 1)
-        if form in (1, 2):
-            if k0 == 1:  # V gate
-                qc.sdg(0)
-                qc.h(0)
-            if k0 == 2:  # W gate
-                qc.h(0)
-                qc.s(0)
-            if k1 == 1:  # V gate
-                qc.sdg(1)
-                qc.h(1)
-            if k1 == 2:  # W gate
-                qc.h(1)
-                qc.s(1)
-        if p0 == 1:
-            qc.x(0)
-        if p0 == 2:
-            qc.y(0)
-        if p0 == 3:
-            qc.z(0)
-        if p1 == 1:
-            qc.x(1)
-        if p1 == 2:
-            qc.y(1)
-        if p1 == 3:
-            qc.z(1)
-
-        if basis_gates:
-            qc = _transform_clifford_circuit(qc, basis_gates)
+        for layer, idx in enumerate(_layer_indices_from_num(num)):
+            if basis_gates:
+                layer_circ = _transformed_clifford_layer(layer, idx, basis_gates)
+            else:
+                layer_circ = _CLIFFORD_LAYER[layer][idx]
+            # qc.compose(layer_circ, inplace=True)
+            _circuit_compose(qc, layer_circ, qubits=(0, 1))
 
         return qc
 
@@ -375,328 +294,322 @@ def _unpack_num(num, sig):
             num //= k
         return res
 
-    @staticmethod
-    def _unpack_num_multi_sigs(num, sigs):
-        """Returns the result of `_unpack_num` on one of the
-        signatures in `sigs`
-        """
-        for i, sig in enumerate(sigs):
-            sig_size = 1
-            for k in sig:
-                sig_size *= k
-            if num < sig_size:
-                return [i] + CliffordUtils._unpack_num(num, sig)
-            num -= sig_size
-        return None
-
-    def num_from_clifford_single_gate(
-        self, inst: Instruction, qubits: List[int], rb_num_qubits: int
-    ) -> int:
-        """
-        This method does the reverse of clifford_1_qubit_circuit and clifford_2_qubit_circuit -
-        given a clifford, it returns the corresponding integer, with the mapping
-        defined in the above method.
-
-         Returns:
-            An integer representing a Clifford consisting of a single gate.
 
-        Raises:
-            QiskitError: if the input instruction is not a Clifford instruction.
-            QiskitError: if rz is given with a angle that is not Clifford.
-        """
-        name = inst.name
-        if name == "delay":
-            return 0
-
-        clifford_gate_set = {key[0] for key in self.CLIFF_SINGLE_GATE_MAP[rb_num_qubits]}
-        if name == "rz":
-            # The next two are identical up to a phase, which makes no difference
-            # for the associated Cliffords
-            if isclose(inst.params[0], np.pi) or isclose(inst.params[0], -np.pi):
-                map_index = "z"
-            elif isclose(inst.params[0], np.pi / 2):
-                map_index = "s"
-            elif isclose(inst.params[0], -np.pi / 2):
-                map_index = "sdg"
-            else:
-                raise QiskitError("wrong param {} for rz in clifford".format(inst.params[0]))
-        elif name in clifford_gate_set:
-            map_index = name
-            if name == "cz":
-                # for cz we save only [0, 1] since it is a symmetric operation
-                qubits = [min(qubits), max(qubits)]
+# Constant mapping from 1Q single Clifford gate to 1Q Clifford numerical identifier.
+# This table must be generated using `data.generate_clifford_data.gen_cliff_single_1q_gate_map`.
+_CLIFF_SINGLE_GATE_MAP_1Q = {
+    ("id", (0,)): 0,
+    ("h", (0,)): 1,
+    ("sxdg", (0,)): 2,
+    ("s", (0,)): 4,
+    ("x", (0,)): 6,
+    ("sx", (0,)): 8,
+    ("y", (0,)): 12,
+    ("z", (0,)): 18,
+    ("sdg", (0,)): 22,
+}
+# Constant mapping from 2Q single Clifford gate to 2Q Clifford numerical identifier.
+# This table must be generated using `data.generate_clifford_data.gen_cliff_single_2q_gate_map`.
+_CLIFF_SINGLE_GATE_MAP_2Q = {
+    ("id", (0,)): 0,
+    ("id", (1,)): 0,
+    ("h", (0,)): 5760,
+    ("h", (1,)): 2880,
+    ("sxdg", (0,)): 6720,
+    ("sxdg", (1,)): 3200,
+    ("s", (0,)): 7680,
+    ("s", (1,)): 3520,
+    ("x", (0,)): 4,
+    ("x", (1,)): 1,
+    ("sx", (0,)): 6724,
+    ("sx", (1,)): 3201,
+    ("y", (0,)): 8,
+    ("y", (1,)): 2,
+    ("z", (0,)): 12,
+    ("z", (1,)): 3,
+    ("sdg", (0,)): 7692,
+    ("sdg", (1,)): 3523,
+    ("cx", (0, 1)): 16,
+    ("cx", (1, 0)): 2336,
+    ("cz", (0, 1)): 368,
+    ("cz", (1, 0)): 368,
+}
+
+
+########
+# Functions for 1-qubit integer Clifford operations
+def compose_1q(lhs: Integral, rhs: Integral) -> Integral:
+    """Return the composition of 1-qubit clifford integers."""
+    return _CLIFFORD_COMPOSE_1Q[lhs, rhs]
+
+
+def inverse_1q(num: Integral) -> Integral:
+    """Return the inverse of 1-qubit clifford integers."""
+    return _CLIFFORD_INVERSE_1Q[num]
+
+
+def num_from_1q_circuit(qc: QuantumCircuit) -> Integral:
+    """Convert a given 1-qubit Clifford circuit to the corresponding integer."""
+    num = 0
+    for inst in qc:
+        rhs = _num_from_1q_gate(op=inst.operation)
+        num = _CLIFFORD_COMPOSE_1Q[num, rhs]
+    return num
+
+
+def _num_from_1q_gate(op: Instruction) -> int:
+    """
+    Convert a given 1-qubit clifford operation to the corresponding integer.
+    Note that supported operations are limited to ones in `CLIFF_SINGLE_GATE_MAP_1Q` or Rz gate.
+
+    Args:
+        op: operation to be converted.
+
+    Returns:
+        An integer representing a Clifford consisting of a single operation.
+
+    Raises:
+        QiskitError: if the input instruction is not a Clifford instruction.
+        QiskitError: if rz is given with a angle that is not Clifford.
+    """
+    if op.name in {"delay", "barrier"}:
+        return 0
+    try:
+        name = _deparameterized_name(op)
+        return _CLIFF_SINGLE_GATE_MAP_1Q[(name, (0,))]
+    except QiskitError as err:
+        raise QiskitError(
+            f"Parameterized instruction {op.name} could not be converted to integer Clifford"
+        ) from err
+    except KeyError as err:
+        raise QiskitError(
+            f"Instruction {op.name} could not be converted to integer Clifford"
+        ) from err
+
+
+def _deparameterized_name(inst: Instruction) -> str:
+    if inst.name == "rz":
+        if np.isclose(inst.params[0], np.pi) or np.isclose(inst.params[0], -np.pi):
+            return "z"
+        elif np.isclose(inst.params[0], np.pi / 2):
+            return "s"
+        elif np.isclose(inst.params[0], -np.pi / 2):
+            return "sdg"
         else:
-            raise QiskitError("Instruction {} could not be converted to Clifford gate".format(name))
-        return self.CLIFF_SINGLE_GATE_MAP[rb_num_qubits][(map_index, str(qubits))]
-
-    def compose_num_with_clifford(self, composed_num: int, qc: QuantumCircuit) -> int:
-        """Compose a number that represents a Clifford, with a single-gate Clifford, and return the
-        number that represents the resulting Clifford."""
-
-        # The numbers corresponding to single gate Cliffords are not in sequence -
-        # see CLIFF_SINGLE_GATE_MAP_1Q/2Q. To compute the index in
-        # the array CLIFF_COMPOSE_DATA_1Q, we map the numbers to [0, 8].
-        # For 2 qubits, we map the numbers to [0, 21].
-
-        map_clifford_num_to_array_index = {}
-        num_single_gate_cliffs = len(self.CLIFF_SINGLE_GATE_MAP[self.num_qubits])
-        for k in list(self.CLIFF_SINGLE_GATE_MAP[self.num_qubits]):
-            map_clifford_num_to_array_index[self.CLIFF_SINGLE_GATE_MAP[self.num_qubits][k]] = list(
-                self.CLIFF_SINGLE_GATE_MAP[self.num_qubits].keys()
-            ).index(k)
-        if self.num_qubits == 1:
-            for inst, qargs, _ in qc:
-                num = self.num_from_clifford_single_gate(inst=inst, qubits=[0], rb_num_qubits=1)
-                index = num_single_gate_cliffs * composed_num + map_clifford_num_to_array_index[num]
-                composed_num = self.CLIFF_COMPOSE_DATA[self.num_qubits][index]
-        else:  # num_qubits == 2
-            for inst, qargs, _ in qc:
-                if inst.num_qubits == 2:
-                    qubits = [qc.find_bit(qargs[0]).index, qc.find_bit(qargs[1]).index]
-                else:
-                    qubits = [qc.find_bit(qargs[0]).index]
-                num = self.num_from_clifford_single_gate(inst=inst, qubits=qubits, rb_num_qubits=2)
-                index = num_single_gate_cliffs * composed_num + map_clifford_num_to_array_index[num]
-                composed_num = self.CLIFF_COMPOSE_DATA[self.num_qubits][index]
-        return composed_num
-
-    def clifford_inverse_by_num(self, num: int):
-        """Return the number of the inverse Clifford to the input num"""
-        return self.CLIFF_INVERSE_DATA[self.num_qubits][num]
-
-    def transpile_1q_cliffords(self):
-        """Transpile all the 1-qubit Cliffords and store them in self._transpiled_cliffords_1q."""
-        if self._transpiled_cliffords_1q != []:
-            return
-        for num in range(0, CliffordUtils.NUM_CLIFFORD_1_QUBIT):
-            circ = CliffordUtils.clifford_1_qubit_circuit(num=num)
-            transpiled_circ = transpile(
-                circuits=circ,
-                optimization_level=1,
-                basis_gates=self.basis_gates,
-                backend=self._backend,
-            )
-            self._transpiled_cliffords_1q.append(transpiled_circ)
-
-    def transpiled_clifford_from_num_1q(self, num):
-        """Return the transpiled Clifford whose index is 'num'"""
-        return self._transpiled_cliffords_1q[num]
-
-    def transpile_2q_cliff_layers(self):
-        """Transpile all the 2-qubit layers and store them in self._transpiled_cliffords_layer."""
-        if self._transpiled_cliff_layer != {}:
-            return
-        self._transpiled_cliff_layer[0] = []
-        self._transpiled_cliff_layer[1] = []
-        self._transpiled_cliff_layer[2] = []
-        self._transpile_cliff_layer_0()
-        self._transpile_cliff_layer_1()
-        self._transpile_cliff_layer_2()
-
-    def _transpile_cliff_layer_0(self):
-        """Layer 0 consists of 0 or 1 H gates on each qubit, followed by 0/1/2 V gates on each qubit.
-        Number of Cliffords == 36."""
-        if self._transpiled_cliff_layer[0] != []:
-            return
-        num_h = [0, 1]
-        v_w_gates = ["i", "v", "w"]
-
-        for h0, h1, v0, v1 in itertools.product(num_h, num_h, v_w_gates, v_w_gates):
-            qr = QuantumRegister(2)
-            qc = QuantumCircuit(qr)
-            for _ in range(h0):
-                qc.h(0)
-            for _ in range(h1):
-                qc.h(1)
-            if v0 == "v":
-                qc.sdg(0)  # VGate
-                qc.h(0)
-            elif v0 == "w":
-                qc.h(0)  # WGate
-                qc.s(0)
-            if v1 == "v":
-                qc.sdg(1)  # VGate
-                qc.h(1)
-            elif v1 == "w":
-                qc.h(1)  # WGate
-                qc.s(1)
-            transpiled = transpile(
-                qc, optimization_level=1, basis_gates=self.basis_gates, backend=self._backend
-            )
-            self._transpiled_cliff_layer[0].append(transpiled)
-
-    def _transpile_cliff_layer_1(self):
-        """Layer 1 consists of one of the following:
-        - nothing
-        - cx(0,1) followed by 0/1/2 V gates on each qubit
-        - cx(0,1), cx(1,0) followed by 0/1/2 V gates on each qubit
-        - cx(0,1), cx(1,0), cx(0,1)
-        Number of Cliffords == 20."""
-        if self._transpiled_cliff_layer[1] != []:
-            return
-        v_w_gates = ["i", "v", "w"]
-        qr = QuantumRegister(2)
-        qc = QuantumCircuit(qr)
-        transpiled = transpile(
-            qc, optimization_level=1, basis_gates=self.basis_gates, backend=self._backend
-        )
-        self._transpiled_cliff_layer[1].append(transpiled)
-
-        for v0, v1 in itertools.product(v_w_gates, v_w_gates):
-            qc = QuantumCircuit(qr)
-            qc.cx(0, 1)
-            if v0 == "v":
-                qc.sdg(0)  # VGate
-                qc.h(0)
-            elif v0 == "w":
-                qc.h(0)  # WGate
-                qc.s(0)
-            if v1 == "v":
-                qc.sdg(1)  # VGate
-                qc.h(1)
-            elif v1 == "w":
-                qc.h(1)  # WGate
-                qc.s(1)
-            transpiled = transpile(
-                qc, optimization_level=1, basis_gates=self.basis_gates, backend=self._backend
-            )
-            self._transpiled_cliff_layer[1].append(transpiled)
-
-        for v0, v1 in itertools.product(v_w_gates, v_w_gates):
-            qc = QuantumCircuit(qr)
-            qc.cx(0, 1)
-            qc.cx(1, 0)
-            if v0 == "v":
-                qc.sdg(0)  # VGate
-                qc.h(0)
-            elif v0 == "w":
-                qc.h(0)  # WGate
-                qc.s(0)
-            if v1 == "v":
-                qc.sdg(1)  # VGate
-                qc.h(1)
-            elif v1 == "w":
-                qc.h(1)  # WGate
-                qc.s(1)
-            transpiled = transpile(
-                qc, optimization_level=1, basis_gates=self.basis_gates, backend=self._backend
-            )
-            self._transpiled_cliff_layer[1].append(transpiled)
-
-        qc = QuantumCircuit(qr)
-        qc.cx(0, 1)
-        qc.cx(1, 0)
+            raise QiskitError("Wrong param {} for rz in clifford".format(inst.params[0]))
+
+    return inst.name
+
+
+def _load_clifford_compose_1q():
+    dirname = os.path.dirname(__file__)
+    data = np.load(f"{dirname}/data/clifford_compose_1q.npz")
+    return data["table"]
+
+
+def _load_clifford_inverse_1q():
+    dirname = os.path.dirname(__file__)
+    data = np.load(f"{dirname}/data/clifford_inverse_1q.npz")
+    return data["table"]
+
+
+_CLIFFORD_COMPOSE_1Q = _load_clifford_compose_1q()
+_CLIFFORD_INVERSE_1Q = _load_clifford_inverse_1q()
+
+
+########
+# Functions for 2-qubit integer Clifford operations
+def compose_2q(lhs: Integral, rhs: Integral) -> Integral:
+    """Return the composition of 2-qubit clifford integers."""
+    num = lhs
+    for layer, idx in enumerate(_layer_indices_from_num(rhs)):
+        circ = _CLIFFORD_LAYER[layer][idx]
+        num = _compose_num_with_circuit_2q(num, circ)
+    return num
+
+
+def inverse_2q(num: Integral) -> Integral:
+    """Return the inverse of 2-qubit clifford integers."""
+    return _CLIFFORD_INVERSE_2Q[num]
+
+
+def num_from_2q_circuit(qc: QuantumCircuit) -> Integral:
+    """Convert a given 2-qubit Clifford circuit to the corresponding integer."""
+    return _compose_num_with_circuit_2q(0, qc)
+
+
+def _compose_num_with_circuit_2q(num: Integral, qc: QuantumCircuit) -> Integral:
+    """Compose a number that represents a Clifford, with a Clifford circuit, and return the
+    number that represents the resulting Clifford."""
+    lhs = num
+    for inst in qc:
+        qubits = tuple(qc.find_bit(q).index for q in inst.qubits)
+        rhs = _num_from_2q_gate(op=inst.operation, qubits=qubits)
+        try:
+            lhs = _CLIFFORD_COMPOSE_2Q_GATE[lhs, rhs]
+        except KeyError as err:
+            raise Exception(f"_CLIFFORD_COMPOSE_2Q_GATE[{lhs}][{rhs}]") from err
+    return lhs
+
+
+def _num_from_2q_gate(
+    op: Instruction, qubits: Optional[Union[Tuple[int, int], Tuple[int]]] = None
+) -> int:
+    """
+    Convert a given 1-qubit clifford operation to the corresponding integer.
+    Note that supported operations are limited to ones in `CLIFF_SINGLE_GATE_MAP_2Q` or Rz gate.
+
+    Args:
+        op: operation of instruction to be converted.
+        qubits: qubits to which the operation applies
+
+    Returns:
+        An integer representing a Clifford consisting of a single operation.
+
+    Raises:
+        QiskitError: if the input instruction is not a Clifford instruction.
+        QiskitError: if rz is given with a angle that is not Clifford.
+    """
+    if op.name in {"delay", "barrier"}:
+        return 0
+
+    qubits = qubits or (0, 1)
+    try:
+        name = _deparameterized_name(op)
+        return _CLIFF_SINGLE_GATE_MAP_2Q[(name, qubits)]
+    except QiskitError as err:
+        raise QiskitError(
+            f"Parameterized instruction {op.name} could not be converted to integer Clifford"
+        ) from err
+    except KeyError as err:
+        raise QiskitError(
+            f"Instruction {op.name} on {qubits} could not be converted to integer Clifford"
+        ) from err
+
+
+def _append_v_w(qc, vw0, vw1):
+    if vw0 == "v":
+        qc.sdg(0)
+        qc.h(0)
+    elif vw0 == "w":
+        qc.h(0)
+        qc.s(0)
+    if vw1 == "v":
+        qc.sdg(1)
+        qc.h(1)
+    elif vw1 == "w":
+        qc.h(1)
+        qc.s(1)
+
+
+def _create_cliff_2q_layer_0():
+    """Layer 0 consists of 0 or 1 H gates on each qubit, followed by 0/1/2 V gates on each qubit.
+    Number of Cliffords == 36."""
+    circuits = []
+    num_h = [0, 1]
+    v_w_gates = ["i", "v", "w"]
+    for h0, h1, v0, v1 in itertools.product(num_h, num_h, v_w_gates, v_w_gates):
+        qc = QuantumCircuit(2)
+        for _ in range(h0):
+            qc.h(0)
+        for _ in range(h1):
+            qc.h(1)
+        _append_v_w(qc, v0, v1)
+        circuits.append(qc)
+    return circuits
+
+
+def _create_cliff_2q_layer_1():
+    """Layer 1 consists of one of the following:
+    - nothing
+    - cx(0,1) followed by 0/1/2 V gates on each qubit
+    - cx(0,1), cx(1,0) followed by 0/1/2 V gates on each qubit
+    - cx(0,1), cx(1,0), cx(0,1)
+    Number of Cliffords == 20."""
+    circuits = [QuantumCircuit(2)]  # identity at the beginning
+
+    v_w_gates = ["i", "v", "w"]
+    for v0, v1 in itertools.product(v_w_gates, v_w_gates):
+        qc = QuantumCircuit(2)
         qc.cx(0, 1)
-        transpiled = transpile(
-            qc, optimization_level=1, basis_gates=self.basis_gates, backend=self._backend
-        )
-        self._transpiled_cliff_layer[1].append(transpiled)
-
-    def _transpile_cliff_layer_2(self):
-        """Layer 2 consists of a Pauli gate on each qubit {Id, X, Y, Z}.
-        Number of Cliffords == 16."""
-        if self._transpiled_cliff_layer[2] != []:
-            return
-
-        pauli = ("i", XGate(), YGate(), ZGate())
-        for p0, p1 in itertools.product(pauli, pauli):
-            qc = QuantumCircuit(2)
-            if p0 != "i":
-                qc.append(p0, [0])
-            if p1 != "i":
-                qc.append(p1, [1])
-
-            transpiled = transpile(
-                qc, optimization_level=1, basis_gates=self.basis_gates, backend=self._backend
-            )
-            self._transpiled_cliff_layer[2].append(transpiled)
+        _append_v_w(qc, v0, v1)
+        circuits.append(qc)
 
-    def create_random_clifford(self, rng: Generator) -> QuantumCircuit:
-        """For 1-qubit, select a random transpiled Clifford.
-
-         Returns:
-            A random Clifford represented as a :class:`QuantumCircuit`.
+    for v0, v1 in itertools.product(v_w_gates, v_w_gates):
+        qc = QuantumCircuit(2)
+        qc.cx(0, 1)
+        qc.cx(1, 0)
+        _append_v_w(qc, v0, v1)
+        circuits.append(qc)
+
+    qc = QuantumCircuit(2)  # swap at the end
+    qc.cx(0, 1)
+    qc.cx(1, 0)
+    qc.cx(0, 1)
+    circuits.append(qc)
+    return circuits
+
+
+def _create_cliff_2q_layer_2():
+    """Layer 2 consists of a Pauli gate on each qubit {Id, X, Y, Z}.
+    Number of Cliffords == 16."""
+    circuits = []
+    pauli = ("i", XGate(), YGate(), ZGate())
+    for p0, p1 in itertools.product(pauli, pauli):
+        qc = QuantumCircuit(2)
+        if p0 != "i":
+            qc.append(p0, [0])
+        if p1 != "i":
+            qc.append(p1, [1])
+        circuits.append(qc)
+    return circuits
+
+
+_CLIFFORD_LAYER = (
+    _create_cliff_2q_layer_0(),
+    _create_cliff_2q_layer_1(),
+    _create_cliff_2q_layer_2(),
+)
+_NUM_LAYER_0 = 36
+_NUM_LAYER_1 = 20
+_NUM_LAYER_2 = 16
 
-        Raises:
-            QiskitError: if the number of qubits is greater than 2.
 
-        """
-        if rng is None:
-            rng = default_rng()
-        if isinstance(rng, int):
-            rng = default_rng(rng)
-        if self.num_qubits == 1:
-            rand = rng.integers(self.NUM_CLIFFORD_1_QUBIT)
-            return self._transpiled_cliffords_1q[rand]
-        elif self.num_qubits == 2:
-            rand = rng.integers(self.NUM_CLIFFORD_2_QUBIT)
-            return self.create_cliff_from_num(num=rand)
-        else:
-            raise QiskitError("create_random_clifford is not supported for more than 2 qubits")
+@lru_cache(maxsize=None)
+def _transformed_clifford_layer(
+    layer: int, index: Integral, basis_gates: Tuple[str, ...]
+) -> QuantumCircuit:
+    # Return the index-th quantum circuit of the layer translated with the basis_gates.
+    # The result is cached for speed.
+    return _transform_clifford_circuit(_CLIFFORD_LAYER[layer][index], basis_gates)
 
-    def create_cliff_from_num(self, num) -> QuantumCircuit:
-        """Create a Clifford corresponding to a give number. For 2-qubits, get the 3 layer indices
-        that correspond to 'num'. Retrieve them from _transpiled_cliff_layer,
-        and compose them to create a Clifford.
 
-         Returns:
-            A Clifford represented as a :class:`QuantumCircuit`.
+def _num_from_layer_indices(triplet: Tuple[Integral, Integral, Integral]) -> Integral:
+    """Return the clifford number corresponding to the input triplet."""
+    num = triplet[0] * _NUM_LAYER_1 * _NUM_LAYER_2 + triplet[1] * _NUM_LAYER_2 + triplet[2]
+    return num
 
-        Raises:
-            QiskitError: if the number of qubits is greater than 2.
 
-        """
-        if self.num_qubits == 1:
-            return self._transpiled_cliffords_1q[num]
-        elif self.num_qubits == 2:
-            triplet = CliffordUtils.layer_indices_from_num(num)
-            return self.transpiled_cliff_from_layer_nums(triplet)
-        else:
-            raise QiskitError("create_cliff_from_num is not supported for more than 2 qubits")
-
-    @lru_cache(NUM_CLIFFORD_2_QUBIT)
-    def transpiled_cliff_from_layer_nums(self, triplet: Tuple) -> QuantumCircuit:
-        """Given a triplet of indices to the _transpiled_cliff_layers, return the Clifford that consists
-        of composing the three."""
-        q0 = self._transpiled_cliff_layer[0][triplet[0]]
-        q1 = self._transpiled_cliff_layer[1][triplet[1]]
-        q2 = self._transpiled_cliff_layer[2][triplet[2]]
-        qc = q0.copy()
-        qc.compose(q1, inplace=True)
-        qc.compose(q2, inplace=True)
-        qc.name = f"Clifford-2Q({self.num_from_layer_indices(triplet)})"
-        return qc
+def _layer_indices_from_num(num: Integral) -> Tuple[Integral, Integral, Integral]:
+    """Return the triplet of layer indices corresponding to the input number."""
+    idx2 = num % _NUM_LAYER_2
+    num = num // _NUM_LAYER_2
+    idx1 = num % _NUM_LAYER_1
+    idx0 = num // _NUM_LAYER_1
+    return idx0, idx1, idx2
 
-    @staticmethod
-    def num_from_layer_indices(triplet: Tuple) -> int:
-        """Return the clifford number corresponding to the input triplet."""
-        num = (
-            triplet[0] * CliffordUtils.NUM_LAYER_1 * CliffordUtils.NUM_LAYER_2
-            + triplet[1] * CliffordUtils.NUM_LAYER_2
-            + triplet[2]
-        )
-        return CLIFF_LAYERS_TO_NUM_2Q[num]
 
-    @staticmethod
-    def layer_indices_from_num(num: int) -> Tuple[int]:
-        """Return the triplet of layer indices corresponding to the input number."""
-        return CLIFF_NUM_TO_LAYERS_2Q[num]
+def _load_clifford_compose_2q_gate():
+    dirname = os.path.dirname(__file__)
+    data = scipy.sparse.load_npz(f"{dirname}/data/clifford_compose_2q_sparse.npz")
+    return data
 
-    def inverse_cliff(self, cliff_num: int) -> QuantumCircuit:
-        """Return the Clifford that is the inverse of the clifford corresponding to Cliff_num
 
-        Returns:
-            A Clifford represented as a :class:`QuantumCircuit`.
+def _load_clifford_inverse_2q():
+    dirname = os.path.dirname(__file__)
+    data = np.load(f"{dirname}/data/clifford_inverse_2q.npz")
+    return data["table"]
 
-        Raises:
-            QiskitError: if the number of qubits is greater than 2.
 
-        """
-        inverse_clifford_num = self.clifford_inverse_by_num(cliff_num)
-        if self.num_qubits == 1:
-            return self._transpiled_cliffords_1q[inverse_clifford_num]
-        elif self.num_qubits == 2:
-            indices = CliffordUtils.layer_indices_from_num(inverse_clifford_num)
-            return self.transpiled_cliff_from_layer_nums(indices)
-        else:
-            raise QiskitError("inverse_cliff is not supported for more than 2 qubits")
+_CLIFFORD_COMPOSE_2Q_GATE = _load_clifford_compose_2q_gate()
+_CLIFFORD_INVERSE_2Q = _load_clifford_inverse_2q()
diff --git a/qiskit_experiments/library/randomized_benchmarking/create_clifford_map.py b/qiskit_experiments/library/randomized_benchmarking/create_clifford_map.py
deleted file mode 100644
index bf14af98f5..0000000000
--- a/qiskit_experiments/library/randomized_benchmarking/create_clifford_map.py
+++ /dev/null
@@ -1,253 +0,0 @@
-# This code is part of Qiskit.
-#
-# (C) Copyright IBM 2021.
-#
-# This code is licensed under the Apache License, Version 2.0. You may
-# obtain a copy of this license in the LICENSE.txt file in the root directory
-# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
-#
-# Any modifications or derivative works of this code must retain this
-# copyright notice, and modified files need to carry a notice indicating
-# that they have been altered from the originals.
-"""
-This is a script used to create the data in clifford_data.py.
-Every Clifford is represented by a number. We store a list of the compositions of Cliffords represented
-as numbers. For example, if Clifford1.compose(Clifford2) == Clifford3, then we conceptually,
-we store {(1, 2) : 3}. We don't actually store the map, but only the results of compose in a list,
-because this is more efficient in performance. The result is found using the indices of the input
-Cliffords.
-Similarly, we store for each number representing a Clifford, the number representing the
-inverse Clifford.
-For compose, we don't actually store the full compose table of all-cliffords X all-cliffords.
-Instead, we define an list of single-gate-cliffords. This comprises all Cliffords that consist
-of a single gate. There are 9 such Cliffords for 1-qubit, and 21 such Cliffords for 2-qubits.
-It is sufficient to store the compose table of all-cliffords X single-gate-cliffords,
-since for every Clifford on the right hand side, we can break it down into single gate Cliffords,
-and do the composition one gate at a time. This greatly reduces the storage space for the array of
-composition results (from O(n^2) to O(n)), where n is the number of Cliffords.
-"""
-import itertools
-
-from qiskit.circuit import QuantumCircuit
-from qiskit.circuit.library import (
-    IGate,
-    HGate,
-    SXdgGate,
-    SGate,
-    XGate,
-    SXGate,
-    YGate,
-    ZGate,
-    SdgGate,
-    CXGate,
-    CZGate,
-)
-from qiskit.quantum_info.operators.symplectic import Clifford
-from qiskit_experiments.library.randomized_benchmarking.clifford_utils import CliffordUtils
-
-gate_list_1q = [
-    IGate(),
-    HGate(),
-    SXdgGate(),
-    SGate(),
-    XGate(),
-    SXGate(),
-    YGate(),
-    ZGate(),
-    SdgGate(),
-]
-asymm_gates_2q = [
-    CXGate(),
-]
-symm_gates_2q = [CZGate()]
-
-
-class CliffordNumMapping:
-    """Class that creates creates all the structures with the mappings between Cliffords
-    and numbers."""
-
-    basis_gates = ["h", "s", "sdg", "x", "cx"]
-    single_gate_clifford_map_1q = {}
-    single_gate_clifford_map_2q = {}
-    num_to_cliff_1q = {}
-    cliff_to_num_1q = {}
-    num_to_cliff_2q = {}
-    cliff_to_num_2q = {}
-    layers_num_to_cliff_num_2q = {}
-    cliff_num_to_layers_2q = {}
-
-    @classmethod
-    def gen_nums_single_gate_cliffs_1q(cls):
-        """
-        Generates a dict mapping numbers to Cliffords and the reverse dict.
-        Based on these structures, we build a mapping from every single-gate-clifford to its number.
-        The mapping actually looks like {(gate, '[0]'): num}, where [0] represents qubit 0.
-        The qubit is added to be consistent with the format for 2 qubits.
-        """
-        clifford_utils = CliffordUtils(1, cls.basis_gates)
-        for i in range(clifford_utils.NUM_CLIFFORD_1_QUBIT):
-            cliff = clifford_utils.clifford_1_qubit(i)
-            cls.num_to_cliff_1q[i] = cliff
-            cls.cliff_to_num_1q[repr(cliff)] = i
-
-        for gate in gate_list_1q:
-            qc = QuantumCircuit(1)
-            qc.append(gate, [0])
-            cliff = Clifford(qc)
-            if repr(cliff) in cls.cliff_to_num_1q.keys():
-                num = cls.cliff_to_num_1q[repr(cliff)]
-                # qubit_as_str is not really necessary. It is only added to be consistent
-                # with the representation for 2 qubits
-                qubit_as_str = "[0]"
-                cls.single_gate_clifford_map_1q[(gate.name, qubit_as_str)] = num
-            else:
-                print("not found")
-        cliff_data_file.write(f"CLIFF_SINGLE_GATE_MAP_1Q = {cls.single_gate_clifford_map_1q}\n")
-
-    @classmethod
-    def gen_nums_single_gate_cliffs_2q(cls):
-        """
-        Generates a dict mapping numbers to Cliffords and the reverse dict.
-        Based on these structures, we build a mapping from every single-gate-clifford to its number.
-        The mapping actually looks like {(gate, '[qubits]'): num}.
-        """
-        clifford_utils = CliffordUtils(2, cls.basis_gates)
-        for i in range(clifford_utils.NUM_CLIFFORD_2_QUBIT):
-            cliff = clifford_utils.clifford_2_qubit(i)
-            cls.num_to_cliff_2q[i] = cliff
-            cls.cliff_to_num_2q[repr(cliff)] = i
-
-        for gate, qubit in itertools.product(gate_list_1q, [0, 1]):
-            qc = QuantumCircuit(2)
-            qc.append(gate, [qubit])
-            cliff = Clifford(qc)
-            if repr(cliff) in cls.cliff_to_num_2q:
-                num = cls.cliff_to_num_2q[repr(cliff)]
-                # qubit_as_str is not really necessary. It is only added to be consistent
-                # with the representation for 2 qubits
-                qubit_as_str = "[" + str(qubit) + "]"
-                cls.single_gate_clifford_map_2q[(gate.name, qubit_as_str)] = num
-            else:
-                print("not found")
-
-        for gate, qubits in itertools.product(asymm_gates_2q, [[0, 1], [1, 0]]):
-            qc = QuantumCircuit(2)
-            qc.append(gate, qubits)
-            cliff = Clifford(qc)
-            if repr(cliff) in cls.cliff_to_num_2q.keys():
-                num = cls.cliff_to_num_2q[repr(cliff)]
-            else:
-                print("not found")
-            direction = "[0, 1]" if qubits == [0, 1] else "[1, 0]"
-            cls.single_gate_clifford_map_2q[(gate.name, direction)] = num
-
-        for gate in symm_gates_2q:
-            qc = QuantumCircuit(2)
-            qc.append(gate, [0, 1])
-            cliff = Clifford(qc)
-            if repr(cliff) in cls.cliff_to_num_2q.keys():
-                num = cls.cliff_to_num_2q[repr(cliff)]
-            else:
-                print("not found")
-            cls.single_gate_clifford_map_2q[(gate.name, "[0, 1]")] = num
-
-        cliff_data_file.write(f"CLIFF_SINGLE_GATE_MAP_2Q = {cls.single_gate_clifford_map_2q}\n")
-
-    @classmethod
-    def create_compose_map_1q(cls):
-        """Creates the data in compose data in CLIFF_COMPOSE_DATA and
-        the inverse data in CLIFF_INVERSE_DATA"""
-        products = {}
-        for i in range(CliffordUtils.NUM_CLIFFORD_1_QUBIT):
-            cliff1 = cls.num_to_cliff_1q[i]
-            for gate in cls.single_gate_clifford_map_1q:
-                cliff2 = cls.num_to_cliff_1q[cls.single_gate_clifford_map_1q[gate]]
-                cliff = cliff1.compose(cliff2)
-                products[(i, gate)] = cls.cliff_to_num_1q[repr(cliff)]
-
-        invs = {}
-        for i in range(CliffordUtils.NUM_CLIFFORD_1_QUBIT):
-            cliff1 = cls.num_to_cliff_1q[i]
-            cliff = cliff1.adjoint()
-            invs[i] = cls.cliff_to_num_1q[repr(cliff)]
-
-        cliff_data_file.write("CLIFF_COMPOSE_DATA_1Q = [")
-        for i in products:
-            cliff_data_file.write(f"{products[i]},")
-        cliff_data_file.write("]")
-        cliff_data_file.write("\n")
-
-        cliff_data_file.write("CLIFF_INVERSE_DATA_1Q = [")
-        for i in invs:
-            cliff_data_file.write(f"{invs[i]},")
-        cliff_data_file.write("]")
-        cliff_data_file.write("\n")
-
-    @classmethod
-    def create_compose_map_2q(cls):
-        """Creates the data in CLIFF_COMPOSE_DATA and CLIFF_INVERSE_DATA"""
-        products = {}
-        for i in range(CliffordUtils.NUM_CLIFFORD_2_QUBIT):
-            cliff1 = cls.num_to_cliff_2q[i]
-            for gate in cls.single_gate_clifford_map_2q:
-                cliff2 = cls.num_to_cliff_2q[cls.single_gate_clifford_map_2q[gate]]
-                cliff = cliff1.compose(cliff2)
-                products[(i, gate)] = cls.cliff_to_num_2q[repr(cliff)]
-
-        invs = {}
-        for i in range(CliffordUtils.NUM_CLIFFORD_2_QUBIT):
-            cliff1 = cls.num_to_cliff_2q[i]
-            cliff = cliff1.adjoint()
-            invs[i] = cls.cliff_to_num_2q[repr(cliff)]
-
-        cliff_data_file.write("CLIFF_COMPOSE_DATA_2Q = [")
-        for i in products:
-            cliff_data_file.write(f"{products[i]},")
-        cliff_data_file.write("]")
-        cliff_data_file.write("\n")
-
-        cliff_data_file.write("CLIFF_INVERSE_DATA_2Q = [")
-        for i in invs:
-            cliff_data_file.write(f"{invs[i]},")
-        cliff_data_file.write("]")
-        cliff_data_file.write("\n")
-
-    @classmethod
-    def map_layers_to_cliffords_2q(cls):
-        """Creates a map from a triplet describing the indices in the layers, to the
-        number of the corresponding Clifford"""
-        clifford_utils = CliffordUtils(2, cls.basis_gates)
-        clifford_utils.transpile_2q_cliff_layers()
-        length = [len(clifford_utils._transpiled_cliff_layer[i]) for i in [0, 1, 2]]
-        for n0, n1, n2 in itertools.product(range(length[0]), range(length[1]), range(length[2])):
-            cliff = Clifford(clifford_utils.transpiled_cliff_from_layer_nums((n0, n1, n2)))
-
-            num = cls.cliff_to_num_2q[repr(cliff)]
-            cls.layers_num_to_cliff_num_2q[(n0, n1, n2)] = num
-            cls.cliff_num_to_layers_2q[num] = (n0, n1, n2)
-
-        cliff_data_file.write("CLIFF_LAYERS_TO_NUM_2Q = [")
-        for i in cls.layers_num_to_cliff_num_2q:
-            cliff_data_file.write(f"{cls.layers_num_to_cliff_num_2q[i]},")
-        cliff_data_file.write("]\n")
-
-        cliff_data_file.write("CLIFF_NUM_TO_LAYERS_2Q = [")
-        for i in range(len(cls.cliff_num_to_layers_2q)):
-            cliff_data_file.write(f"{cls.cliff_num_to_layers_2q[i]},")
-        cliff_data_file.write("]\n")
-
-    @classmethod
-    def create_clifford_data(cls):
-        """Creates all the data for compose and inverse."""
-        cls.gen_nums_single_gate_cliffs_1q()
-        cls.gen_nums_single_gate_cliffs_2q()
-        cls.create_compose_map_1q()
-        cls.create_compose_map_2q()
-
-
-with open("clifford_data.py", "w") as cliff_data_file:
-    cliff_data_file.write("# fmt: off\n")
-    cliff_data_file.write("# pylint: skip-file\n\n")
-    CliffordNumMapping.create_clifford_data()
-    CliffordNumMapping.map_layers_to_cliffords_2q()
-    cliff_data_file.write("\n# fmt: on\n")
diff --git a/qiskit_experiments/library/randomized_benchmarking/data/clifford_compose_1q.npz b/qiskit_experiments/library/randomized_benchmarking/data/clifford_compose_1q.npz
new file mode 100644
index 0000000000..5794227a06
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diff --git a/qiskit_experiments/library/randomized_benchmarking/data/clifford_compose_2q_sparse.npz b/qiskit_experiments/library/randomized_benchmarking/data/clifford_compose_2q_sparse.npz
new file mode 100644
index 0000000000..19439b7be6
Binary files /dev/null and b/qiskit_experiments/library/randomized_benchmarking/data/clifford_compose_2q_sparse.npz differ
diff --git a/qiskit_experiments/library/randomized_benchmarking/data/clifford_inverse_1q.npz b/qiskit_experiments/library/randomized_benchmarking/data/clifford_inverse_1q.npz
new file mode 100644
index 0000000000..dedef02825
Binary files /dev/null and b/qiskit_experiments/library/randomized_benchmarking/data/clifford_inverse_1q.npz differ
diff --git a/qiskit_experiments/library/randomized_benchmarking/data/clifford_inverse_2q.npz b/qiskit_experiments/library/randomized_benchmarking/data/clifford_inverse_2q.npz
new file mode 100644
index 0000000000..62a8314f15
Binary files /dev/null and b/qiskit_experiments/library/randomized_benchmarking/data/clifford_inverse_2q.npz differ
diff --git a/qiskit_experiments/library/randomized_benchmarking/data/generate_clifford_data.py b/qiskit_experiments/library/randomized_benchmarking/data/generate_clifford_data.py
new file mode 100644
index 0000000000..158bd5de12
--- /dev/null
+++ b/qiskit_experiments/library/randomized_benchmarking/data/generate_clifford_data.py
@@ -0,0 +1,188 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2022.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+"""
+This file is a stand-alone script for generating the npz files in
+:mod:`~qiskit_experiment.library.randomized_benchmarking.clifford_utils.data` directory.
+
+The script relies on the values of ``_CLIFF_SINGLE_GATE_MAP_2Q``
+in :mod:`~qiskit_experiment.library.randomized_benchmarking.clifford_utils`
+so they must be set correctly before running the script.
+"""
+import itertools
+
+import numpy as np
+import scipy.sparse
+
+from qiskit.circuit import QuantumCircuit
+from qiskit.circuit.library import (
+    IGate,
+    HGate,
+    SXdgGate,
+    SGate,
+    XGate,
+    SXGate,
+    YGate,
+    ZGate,
+    SdgGate,
+    CXGate,
+    CZGate,
+)
+from qiskit.quantum_info.operators.symplectic import Clifford
+from qiskit_experiments.library.randomized_benchmarking.clifford_utils import (
+    CliffordUtils,
+    _CLIFF_SINGLE_GATE_MAP_1Q,
+    _CLIFF_SINGLE_GATE_MAP_2Q,
+)
+
+NUM_CLIFFORD_1Q = CliffordUtils.NUM_CLIFFORD_1_QUBIT
+NUM_CLIFFORD_2Q = CliffordUtils.NUM_CLIFFORD_2_QUBIT
+
+
+def _hash_cliff(cliff):
+    """Produce a hashable value that is unique for each different Clifford.  This should only be
+    used internally when the classes being hashed are under our control, because classes of this
+    type are mutable."""
+    table = cliff.table
+    abits = np.packbits(table.array)
+    pbits = np.packbits(table.phase)
+    return abits.tobytes(), pbits.tobytes()
+
+
+_TO_CLIFF_1Q = {i: CliffordUtils.clifford_1_qubit(i) for i in range(NUM_CLIFFORD_1Q)}
+_TO_INT_1Q = {_hash_cliff(cliff): i for i, cliff in _TO_CLIFF_1Q.items()}
+
+
+def gen_clifford_inverse_1q():
+    """Generate table data for integer 1Q Clifford inversion"""
+    invs = np.empty(NUM_CLIFFORD_1Q, dtype=int)
+    for i in range(NUM_CLIFFORD_1Q):
+        invs[i] = _TO_INT_1Q[_hash_cliff(_TO_CLIFF_1Q[i].adjoint())]
+    assert all(sorted(invs) == np.arange(0, NUM_CLIFFORD_1Q))
+    return invs
+
+
+def gen_clifford_compose_1q():
+    """Generate table data for integer 1Q Clifford composition."""
+    products = np.empty((NUM_CLIFFORD_1Q, NUM_CLIFFORD_1Q), dtype=int)
+    for i in range(NUM_CLIFFORD_1Q):
+        for j in range(NUM_CLIFFORD_1Q):
+            cliff = _TO_CLIFF_1Q[i].compose(_TO_CLIFF_1Q[j])
+            products[i, j] = _TO_INT_1Q[_hash_cliff(cliff)]
+        assert all(sorted(products[i]) == np.arange(0, NUM_CLIFFORD_1Q))
+    return products
+
+
+_TO_CLIFF_2Q = {i: CliffordUtils.clifford_2_qubit(i) for i in range(NUM_CLIFFORD_2Q)}
+_TO_INT_2Q = {_hash_cliff(cliff): i for i, cliff in _TO_CLIFF_2Q.items()}
+
+
+def gen_clifford_inverse_2q():
+    """Generate table data for integer 2Q Clifford inversion"""
+    invs = np.empty(NUM_CLIFFORD_2Q, dtype=int)
+    for i in range(NUM_CLIFFORD_2Q):
+        invs[i] = _TO_INT_2Q[_hash_cliff(_TO_CLIFF_2Q[i].adjoint())]
+    assert all(sorted(invs) == np.arange(0, NUM_CLIFFORD_2Q))
+    return invs
+
+
+def gen_clifford_compose_2q_gate():
+    """Generate data for a 2Q Clifford composition table.
+
+    Cliffords are represented as integers between 0 and 11519. Note that the full composition table
+    would require :math:`11520^2:` elements and is therefore *NOT* generated, as that would take
+    more than 100MB. Instead, we sparsely populate the composition table only for RHS elements
+    from a specific set of basis gates defined by the values of ``_CLIFF_SINGLE_GATE_MAP_2Q``.
+    This is sufficient because when composing two arbitrary Cliffords, we can decompose the RHS
+    into these basis gates (which needs to be done anyways), and subsequently compute the product
+    in multiple steps using this sparse table.
+    """
+    products = scipy.sparse.lil_matrix((NUM_CLIFFORD_2Q, NUM_CLIFFORD_2Q), dtype=int)
+    for lhs in range(NUM_CLIFFORD_2Q):
+        for rhs in _CLIFF_SINGLE_GATE_MAP_2Q.values():
+            composed = _TO_CLIFF_2Q[lhs].compose(_TO_CLIFF_2Q[rhs])
+            products[lhs, rhs] = _TO_INT_2Q[_hash_cliff(composed)]
+    return products.tocsr()
+
+
+_GATE_LIST_1Q = [
+    IGate(),
+    HGate(),
+    SXdgGate(),
+    SGate(),
+    XGate(),
+    SXGate(),
+    YGate(),
+    ZGate(),
+    SdgGate(),
+]
+
+
+def gen_cliff_single_1q_gate_map():
+    """
+    Generates a dict mapping numbers to 1Q Cliffords
+    to be used as the value for ``_CLIFF_SINGLE_GATE_MAP_1Q``
+    in :mod:`~qiskit_experiment.library.randomized_benchmarking.clifford_utils`.
+    Based on it, we build a mapping from every single-gate-clifford to its number.
+    The mapping actually looks like {(gate, (0, )): num}.
+    """
+    table = {}
+    for gate in _GATE_LIST_1Q:
+        qc = QuantumCircuit(1)
+        qc.append(gate, [0])
+        num = _TO_INT_1Q[_hash_cliff(Clifford(qc))]
+        table[(gate.name, (0,))] = num
+
+    return table
+
+
+def gen_cliff_single_2q_gate_map():
+    """
+    Generates a dict mapping numbers to 2Q Cliffords
+    to be used as the value for ``_CLIFF_SINGLE_GATE_MAP_2Q``
+    in :mod:`~qiskit_experiment.library.randomized_benchmarking.clifford_utils`.
+    Based on it, we build a mapping from every single-gate-clifford to its number.
+    The mapping actually looks like {(gate, (0, 1)): num}.
+    """
+    gate_list_2q = [
+        CXGate(),
+        CZGate(),
+    ]
+    table = {}
+    for gate, qubit in itertools.product(_GATE_LIST_1Q, [0, 1]):
+        qc = QuantumCircuit(2)
+        qc.append(gate, [qubit])
+        num = _TO_INT_2Q[_hash_cliff(Clifford(qc))]
+        table[(gate.name, (qubit,))] = num
+
+    for gate, qubits in itertools.product(gate_list_2q, [(0, 1), (1, 0)]):
+        qc = QuantumCircuit(2)
+        qc.append(gate, qubits)
+        num = _TO_INT_2Q[_hash_cliff(Clifford(qc))]
+        table[(gate.name, qubits)] = num
+
+    return table
+
+
+if __name__ == "__main__":
+    if _CLIFF_SINGLE_GATE_MAP_1Q != gen_cliff_single_1q_gate_map():
+        raise Exception(
+            "_CLIFF_SINGLE_GATE_MAP_1Q must be generated by gen_cliff_single_1q_gate_map()"
+        )
+    np.savez_compressed("clifford_inverse_1q.npz", table=gen_clifford_inverse_1q())
+    np.savez_compressed("clifford_compose_1q.npz", table=gen_clifford_compose_1q())
+
+    if _CLIFF_SINGLE_GATE_MAP_2Q != gen_cliff_single_2q_gate_map():
+        raise Exception(
+            "_CLIFF_SINGLE_GATE_MAP_2Q must be generated by gen_cliff_single_2q_gate_map()"
+        )
+    np.savez_compressed("clifford_inverse_2q.npz", table=gen_clifford_inverse_2q())
+    scipy.sparse.save_npz("clifford_compose_2q_sparse.npz", gen_clifford_compose_2q_gate())
diff --git a/qiskit_experiments/library/randomized_benchmarking/interleaved_rb_experiment.py b/qiskit_experiments/library/randomized_benchmarking/interleaved_rb_experiment.py
index 531e7a24b6..35441621ca 100644
--- a/qiskit_experiments/library/randomized_benchmarking/interleaved_rb_experiment.py
+++ b/qiskit_experiments/library/randomized_benchmarking/interleaved_rb_experiment.py
@@ -25,7 +25,8 @@
 from qiskit.quantum_info import Clifford
 from qiskit.transpiler.exceptions import TranspilerError
 from qiskit_experiments.framework.backend_timing import BackendTiming
-from .clifford_utils import CliffordUtils, _truncate_inactive_qubits
+from .clifford_utils import _truncate_inactive_qubits
+from .clifford_utils import num_from_1q_circuit, num_from_2q_circuit
 from .interleaved_rb_analysis import InterleavedRBAnalysis
 from .rb_experiment import StandardRB, SequenceElementType
 
@@ -100,7 +101,7 @@ def __init__(
             )
         # - validate if interleaved_element is Clifford
         try:
-            self._interleaved_elem = Clifford(interleaved_element)
+            interleaved_clifford = Clifford(interleaved_element)
         except QiskitError as err:
             raise QiskitError(
                 f"Interleaved element {interleaved_element.name} could not be converted to Clifford."
@@ -139,13 +140,13 @@ def __init__(
             seed=seed,
             full_sampling=full_sampling,
         )
-        # Convert interleaved element to integer for speed
-        if self.num_qubits <= 2:
-            interleaved_circ = self._interleaved_elem.to_circuit()
-            utils = CliffordUtils(
-                self.num_qubits, basis_gates=self._get_basis_gates()
-            )  # TODO: cleanup
-            self._interleaved_elem = utils.compose_num_with_clifford(0, interleaved_circ)
+        # Convert interleaved element to integer for speed in 1Q or 2Q case
+        if self.num_qubits == 1:
+            self._interleaved_elem = num_from_1q_circuit(interleaved_clifford.to_circuit())
+        elif self.num_qubits == 2:
+            self._interleaved_elem = num_from_2q_circuit(interleaved_clifford.to_circuit())
+        else:
+            self._interleaved_elem = interleaved_clifford
         self._interleaved_op = interleaved_element
         self.analysis = InterleavedRBAnalysis()
         self.analysis.set_options(outcome="0" * self.num_qubits)
@@ -159,11 +160,8 @@ def circuits(self) -> List[QuantumCircuit]:
         Raises:
             QiskitError: if failed to transpile interleaved_element.
         """
-        basis_gates = self._get_basis_gates()
-        self._cliff_utils = CliffordUtils(self.num_qubits, basis_gates=basis_gates)  # TODO: cleanup
-
         # Convert interleaved element to transpiled circuit operation and store it for speed
-        self.__set_up_interleaved_op(basis_gates)
+        self.__set_up_interleaved_op()
 
         # Build circuits of reference sequences
         reference_sequences = self._sample_sequences()
@@ -201,20 +199,22 @@ def _to_instruction(
 
         return super()._to_instruction(elem, basis_gates)
 
-    def __set_up_interleaved_op(self, basis_gates: Optional[Tuple[str, ...]]) -> None:
+    def __set_up_interleaved_op(self) -> None:
         # Convert interleaved element to transpiled circuit operation and store it for speed
+        basis_gates = self._get_basis_gates()
         # Convert interleaved element to circuit
+        if isinstance(self._interleaved_op, Clifford):
+            self._interleaved_op = self._interleaved_op.to_circuit()
+
         if isinstance(self._interleaved_op, QuantumCircuit):
             interleaved_circ = self._interleaved_op
-        elif isinstance(self._interleaved_op, Clifford):
-            interleaved_circ = self._interleaved_op.to_circuit()
         elif isinstance(self._interleaved_op, Gate):
             interleaved_circ = QuantumCircuit(self.num_qubits, name=self._interleaved_op.name)
             interleaved_circ.append(self._interleaved_op, list(range(self.num_qubits)))
         else:  # Delay
             interleaved_circ = []
+
         if basis_gates and any(i.operation.name not in basis_gates for i in interleaved_circ):
-            interleaved_circ.name = f"Clifford-{interleaved_circ.name}"
             # Transpile circuit with non-basis gates and remove idling qubits
             try:
                 interleaved_circ = transpile(
@@ -230,6 +230,9 @@ def __set_up_interleaved_op(self, basis_gates: Optional[Tuple[str, ...]]) -> Non
                 self._interleaved_op = interleaved_circ.data[0].operation
             else:
                 self._interleaved_op = interleaved_circ
-        # assert isinstance(self._interleaved_op, (Instruction, QuantumCircuit)
-        if not isinstance(self._interleaved_op, Instruction):
+
+        # Store interleaved operation as Instruction
+        if isinstance(self._interleaved_op, QuantumCircuit):
+            if not self._interleaved_op.name.startswith("Clifford"):
+                self._interleaved_op.name = f"Clifford-{self._interleaved_op.name}"
             self._interleaved_op = self._interleaved_op.to_instruction()
diff --git a/qiskit_experiments/library/randomized_benchmarking/rb_experiment.py b/qiskit_experiments/library/randomized_benchmarking/rb_experiment.py
index 55fb69f702..53acc9a1c6 100644
--- a/qiskit_experiments/library/randomized_benchmarking/rb_experiment.py
+++ b/qiskit_experiments/library/randomized_benchmarking/rb_experiment.py
@@ -32,6 +32,10 @@
 from qiskit_experiments.framework.restless_mixin import RestlessMixin
 from .clifford_utils import (
     CliffordUtils,
+    compose_1q,
+    compose_2q,
+    inverse_1q,
+    inverse_2q,
     _clifford_1q_int_to_instruction,
     _clifford_2q_int_to_instruction,
     _transpile_clifford_circuit,
@@ -117,8 +121,6 @@ def __init__(
         )
         self.analysis.set_options(outcome="0" * self.num_qubits)
 
-        self._cliff_utils = None  # TODO: cleanup
-
     @classmethod
     def _default_experiment_options(cls) -> Options:
         """Default experiment options.
@@ -146,7 +148,7 @@ def _set_backend(self, backend: Backend):
         except for simulators. If BackendV1 is provided, it is converted to V2 and stored.
         """
         if isinstance(backend, BackendV1) and "simulator" not in backend.name():
-            super()._set_backend(BackendV2Converter(backend))
+            super()._set_backend(BackendV2Converter(backend, add_delay=True))
         else:
             super()._set_backend(backend)
 
@@ -156,9 +158,6 @@ def circuits(self) -> List[QuantumCircuit]:
         Returns:
             A list of :class:`QuantumCircuit`.
         """
-        self._cliff_utils = CliffordUtils(
-            self.num_qubits, basis_gates=self._get_basis_gates()
-        )  # TODO: cleanup
         # Sample random Clifford sequences
         sequences = self._sample_sequences()
         # Convert each sequence into circuit and append the inverse to the end.
@@ -265,7 +264,7 @@ def __sample_sequence(self, length: int, rng: Generator) -> Sequence[SequenceEle
         return [random_clifford(self.num_qubits, rng).to_circuit() for _ in range(length)]
 
     def _to_instruction(
-        self, elem: SequenceElementType, basis_gates: Optional[Tuple[str]] = None
+        self, elem: SequenceElementType, basis_gates: Optional[Tuple[str, ...]] = None
     ) -> Instruction:
         # Switching for speed up
         if isinstance(elem, Integral):
@@ -287,7 +286,10 @@ def __compose_clifford_seq(
         if self.num_qubits <= 2:
             new = base_elem
             for elem in elements:
-                new = self.__compose_clifford(new, elem)
+                if self.num_qubits == 1:
+                    new = compose_1q(new, elem)
+                if self.num_qubits == 2:
+                    new = compose_2q(new, elem)
             return new
         # 3 or more qubits: compose Clifford from circuits for speed
         # TODO: Revisit after terra#7269, #7483, #8585
@@ -296,24 +298,13 @@ def __compose_clifford_seq(
             circ.compose(elem, inplace=True)
         return base_elem.compose(Clifford.from_circuit(circ))
 
-    def __compose_clifford(
-        self, left_elem: SequenceElementType, right_elem: SequenceElementType
-    ) -> SequenceElementType:
-        if self.num_qubits <= 2:
-            utils = self._cliff_utils
-            return utils.compose_num_with_clifford(
-                left_elem, utils.create_cliff_from_num(right_elem)
-            )
-
-        return left_elem.compose(right_elem)
-
     def __adjoint_clifford(self, op: SequenceElementType) -> SequenceElementType:
-        if self.num_qubits <= 2:
-            return self._cliff_utils.inverse_cliff(op)
-
+        if self.num_qubits == 1:
+            return inverse_1q(op)
+        if self.num_qubits == 2:
+            return inverse_2q(op)
         if isinstance(op, QuantumCircuit):
             return Clifford.from_circuit(op).adjoint()
-
         return op.adjoint()
 
     def _transpiled_circuits(self) -> List[QuantumCircuit]:
diff --git a/releasenotes/notes/rb_using_transpiled_cliffords-cd1376000a2379c4.yaml b/releasenotes/notes/rb_using_transpiled_cliffords-cd1376000a2379c4.yaml
index 4a5e6a5689..3f7df2e706 100644
--- a/releasenotes/notes/rb_using_transpiled_cliffords-cd1376000a2379c4.yaml
+++ b/releasenotes/notes/rb_using_transpiled_cliffords-cd1376000a2379c4.yaml
@@ -1,10 +1,8 @@
 ---
 other:
   - |
-   Implemented a new algorithm for rb_experiment. This algorithm builds Cliffords out of
-   three layers. The Cliffords in each layer are transpiled in advance.
-   To create a cClifford, a circuit is selected for each layer, and the
-   three circuits are composed.
-   In addition, compose and inverse operations are 
-   computed using a mapping between Cliffords and integers, making these 
-   operations much faster. The mapping is stored in the file 'clifford_data.py.
+   Improved the performance of circuit generation in 1Q/2Q RB experiments (about 10x speedup).
+   That is mainly achieved by the following two updates in their implementation:
+   - Custom transpilation of circuits (mapping circuits to physical qubits without using transpile),
+   - Integer-based Clifford operations (especially sparse lookup table with triplet decomposition
+   for 2Q Clifford circuits).
diff --git a/releasenotes/notes/update-number-to-2q-clifford-mapping-c28f1f29b0205d57.yaml b/releasenotes/notes/update-number-to-2q-clifford-mapping-c28f1f29b0205d57.yaml
new file mode 100644
index 0000000000..e8d1fec6db
--- /dev/null
+++ b/releasenotes/notes/update-number-to-2q-clifford-mapping-c28f1f29b0205d57.yaml
@@ -0,0 +1,20 @@
+---
+fixes:
+  - |
+    Fix a bug where :meth:`.CliffordUtils.random_cliffords` always returned a single Clifford
+    ignoring the ``size`` arguments. Now it returns a list of Cliffords with ``size``.
+  - |
+    Fix a bug where both :meth:`.CliffordUtils.random_cliffords` and
+    :meth:`.CliffordUtils.random_clifford_circuits` with integer ``seed``
+    returned a list of the same circuits (sampled with a common seed).
+    Now it returns a list of circuits sampled with different seeds.
+deprecations:
+  - |
+    Two helper methods of :meth:`.CliffordUtils.random_cliffords` and
+    :meth:`.CliffordUtils.random_clifford_circuits` have been deprecated.
+other:
+  - |
+    :meth:`.CliffordUtils.clifford_2_qubit` (and :meth:`.CliffordUtils.clifford_2_qubit_circuit`)
+    changes its mapping between integer and 2Q Clifford (circuit).
+    That means 2Q RB experiments may sample different set of circuits from before
+    even if exactly the same arguments are used for their construction.
diff --git a/test/library/randomized_benchmarking/test_clifford_utils.py b/test/library/randomized_benchmarking/test_clifford_utils.py
index ec7601f46a..000ed3c36c 100644
--- a/test/library/randomized_benchmarking/test_clifford_utils.py
+++ b/test/library/randomized_benchmarking/test_clifford_utils.py
@@ -1,6 +1,6 @@
 # This code is part of Qiskit.
 #
-# (C) Copyright IBM 2021.
+# (C) Copyright IBM 2022.
 #
 # This code is licensed under the Apache License, Version 2.0. You may
 # obtain a copy of this license in the LICENSE.txt file in the root directory
@@ -14,13 +14,12 @@
 A Tester for the Clifford utilities
 """
 from test.base import QiskitExperimentsTestCase
+
 import numpy as np
-from numpy.random import default_rng
 from ddt import ddt
+from numpy.random import default_rng
 
-from qiskit import QuantumCircuit, QuantumRegister, QiskitError
-from qiskit.compiler import transpile
-from qiskit.quantum_info import Operator, Clifford
+from qiskit import QuantumCircuit
 from qiskit.circuit.library import (
     IGate,
     XGate,
@@ -32,8 +31,19 @@
     SXGate,
     RZGate,
 )
-from qiskit_experiments.library.randomized_benchmarking.clifford_utils import CliffordUtils
-from qiskit_experiments.library.randomized_benchmarking.clifford_data import CLIFF_LAYERS_TO_NUM_2Q
+from qiskit.quantum_info import Operator, Clifford
+from qiskit_experiments.library.randomized_benchmarking.clifford_utils import (
+    CliffordUtils,
+    num_from_1q_circuit,
+    num_from_2q_circuit,
+    compose_1q,
+    compose_2q,
+    inverse_1q,
+    inverse_2q,
+    _num_from_layer_indices,
+    _layer_indices_from_num,
+    _CLIFFORD_LAYER,
+)
 
 
 @ddt
@@ -72,822 +82,13 @@ def test_clifford_1_qubit_generation(self):
             {"stabilizer": ["-Y"], "destabilizer": ["+Z"]},
         ]
         cliffords = [Clifford.from_dict(i) for i in clifford_dicts]
-        cliff_utils = CliffordUtils(num_qubits=1, basis_gates=self.basis_gates)
         for n in range(24):
-            clifford = cliff_utils.clifford_1_qubit(n)
+            clifford = CliffordUtils.clifford_1_qubit(n)
             self.assertEqual(clifford, cliffords[n])
 
-    def test_clifford_2_qubit_generation(self):
-        """Verify 2-qubit clifford indeed generates the correct group"""
-        pauli_free_elements = [
-            0,
-            1,
-            2,
-            3,
-            4,
-            5,
-            6,
-            7,
-            8,
-            9,
-            10,
-            11,
-            12,
-            13,
-            14,
-            15,
-            16,
-            17,
-            18,
-            19,
-            20,
-            21,
-            22,
-            23,
-            24,
-            25,
-            26,
-            27,
-            28,
-            29,
-            30,
-            31,
-            32,
-            33,
-            34,
-            35,
-            576,
-            577,
-            578,
-            579,
-            580,
-            581,
-            582,
-            583,
-            584,
-            585,
-            586,
-            587,
-            588,
-            589,
-            590,
-            591,
-            592,
-            593,
-            594,
-            595,
-            596,
-            597,
-            598,
-            599,
-            600,
-            601,
-            602,
-            603,
-            604,
-            605,
-            606,
-            607,
-            608,
-            609,
-            610,
-            611,
-            612,
-            613,
-            614,
-            615,
-            616,
-            617,
-            618,
-            619,
-            620,
-            621,
-            622,
-            623,
-            624,
-            625,
-            626,
-            627,
-            628,
-            629,
-            630,
-            631,
-            632,
-            633,
-            634,
-            635,
-            636,
-            637,
-            638,
-            639,
-            640,
-            641,
-            642,
-            643,
-            644,
-            645,
-            646,
-            647,
-            648,
-            649,
-            650,
-            651,
-            652,
-            653,
-            654,
-            655,
-            656,
-            657,
-            658,
-            659,
-            660,
-            661,
-            662,
-            663,
-            664,
-            665,
-            666,
-            667,
-            668,
-            669,
-            670,
-            671,
-            672,
-            673,
-            674,
-            675,
-            676,
-            677,
-            678,
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-            680,
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-            683,
-            684,
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-            688,
-            689,
-            690,
-            691,
-            692,
-            693,
-            694,
-            695,
-            696,
-            697,
-            698,
-            699,
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-            712,
-            713,
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-            716,
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-            728,
-            729,
-            730,
-            731,
-            732,
-            733,
-            734,
-            735,
-            736,
-            737,
-            738,
-            739,
-            740,
-            741,
-            742,
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-            766,
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-            768,
-            769,
-            770,
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-            774,
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-            778,
-            779,
-            780,
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-            811,
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-            815,
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-            819,
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-            821,
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-            823,
-            824,
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-            826,
-            827,
-            828,
-            829,
-            830,
-            831,
-            832,
-            833,
-            834,
-            835,
-            836,
-            837,
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-            839,
-            840,
-            841,
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-            843,
-            844,
-            845,
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-            853,
-            854,
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-            859,
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-            862,
-            863,
-            864,
-            865,
-            866,
-            867,
-            868,
-            869,
-            870,
-            871,
-            872,
-            873,
-            874,
-            875,
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-            877,
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-            889,
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-            898,
-            899,
-            5760,
-            5761,
-            5762,
-            5763,
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-            5766,
-            5767,
-            5768,
-            5769,
-            5770,
-            5771,
-            5772,
-            5773,
-            5774,
-            5775,
-            5776,
-            5777,
-            5778,
-            5779,
-            5780,
-            5781,
-            5782,
-            5783,
-            5784,
-            5785,
-            5786,
-            5787,
-            5788,
-            5789,
-            5790,
-            5791,
-            5792,
-            5793,
-            5794,
-            5795,
-            5796,
-            5797,
-            5798,
-            5799,
-            5800,
-            5801,
-            5802,
-            5803,
-            5804,
-            5805,
-            5806,
-            5807,
-            5808,
-            5809,
-            5810,
-            5811,
-            5812,
-            5813,
-            5814,
-            5815,
-            5816,
-            5817,
-            5818,
-            5819,
-            5820,
-            5821,
-            5822,
-            5823,
-            5824,
-            5825,
-            5826,
-            5827,
-            5828,
-            5829,
-            5830,
-            5831,
-            5832,
-            5833,
-            5834,
-            5835,
-            5836,
-            5837,
-            5838,
-            5839,
-            5840,
-            5841,
-            5842,
-            5843,
-            5844,
-            5845,
-            5846,
-            5847,
-            5848,
-            5849,
-            5850,
-            5851,
-            5852,
-            5853,
-            5854,
-            5855,
-            5856,
-            5857,
-            5858,
-            5859,
-            5860,
-            5861,
-            5862,
-            5863,
-            5864,
-            5865,
-            5866,
-            5867,
-            5868,
-            5869,
-            5870,
-            5871,
-            5872,
-            5873,
-            5874,
-            5875,
-            5876,
-            5877,
-            5878,
-            5879,
-            5880,
-            5881,
-            5882,
-            5883,
-            5884,
-            5885,
-            5886,
-            5887,
-            5888,
-            5889,
-            5890,
-            5891,
-            5892,
-            5893,
-            5894,
-            5895,
-            5896,
-            5897,
-            5898,
-            5899,
-            5900,
-            5901,
-            5902,
-            5903,
-            5904,
-            5905,
-            5906,
-            5907,
-            5908,
-            5909,
-            5910,
-            5911,
-            5912,
-            5913,
-            5914,
-            5915,
-            5916,
-            5917,
-            5918,
-            5919,
-            5920,
-            5921,
-            5922,
-            5923,
-            5924,
-            5925,
-            5926,
-            5927,
-            5928,
-            5929,
-            5930,
-            5931,
-            5932,
-            5933,
-            5934,
-            5935,
-            5936,
-            5937,
-            5938,
-            5939,
-            5940,
-            5941,
-            5942,
-            5943,
-            5944,
-            5945,
-            5946,
-            5947,
-            5948,
-            5949,
-            5950,
-            5951,
-            5952,
-            5953,
-            5954,
-            5955,
-            5956,
-            5957,
-            5958,
-            5959,
-            5960,
-            5961,
-            5962,
-            5963,
-            5964,
-            5965,
-            5966,
-            5967,
-            5968,
-            5969,
-            5970,
-            5971,
-            5972,
-            5973,
-            5974,
-            5975,
-            5976,
-            5977,
-            5978,
-            5979,
-            5980,
-            5981,
-            5982,
-            5983,
-            5984,
-            5985,
-            5986,
-            5987,
-            5988,
-            5989,
-            5990,
-            5991,
-            5992,
-            5993,
-            5994,
-            5995,
-            5996,
-            5997,
-            5998,
-            5999,
-            6000,
-            6001,
-            6002,
-            6003,
-            6004,
-            6005,
-            6006,
-            6007,
-            6008,
-            6009,
-            6010,
-            6011,
-            6012,
-            6013,
-            6014,
-            6015,
-            6016,
-            6017,
-            6018,
-            6019,
-            6020,
-            6021,
-            6022,
-            6023,
-            6024,
-            6025,
-            6026,
-            6027,
-            6028,
-            6029,
-            6030,
-            6031,
-            6032,
-            6033,
-            6034,
-            6035,
-            6036,
-            6037,
-            6038,
-            6039,
-            6040,
-            6041,
-            6042,
-            6043,
-            6044,
-            6045,
-            6046,
-            6047,
-            6048,
-            6049,
-            6050,
-            6051,
-            6052,
-            6053,
-            6054,
-            6055,
-            6056,
-            6057,
-            6058,
-            6059,
-            6060,
-            6061,
-            6062,
-            6063,
-            6064,
-            6065,
-            6066,
-            6067,
-            6068,
-            6069,
-            6070,
-            6071,
-            6072,
-            6073,
-            6074,
-            6075,
-            6076,
-            6077,
-            6078,
-            6079,
-            6080,
-            6081,
-            6082,
-            6083,
-            10944,
-            10945,
-            10946,
-            10947,
-            10948,
-            10949,
-            10950,
-            10951,
-            10952,
-            10953,
-            10954,
-            10955,
-            10956,
-            10957,
-            10958,
-            10959,
-            10960,
-            10961,
-            10962,
-            10963,
-            10964,
-            10965,
-            10966,
-            10967,
-            10968,
-            10969,
-            10970,
-            10971,
-            10972,
-            10973,
-            10974,
-            10975,
-            10976,
-            10977,
-            10978,
-            10979,
-        ]
-        cliffords = []
-        cliff_utils = CliffordUtils(num_qubits=2, basis_gates=self.basis_gates)
-        for n in pauli_free_elements:
-            clifford = cliff_utils.clifford_2_qubit(n)
-            phase = clifford.table.phase
-            for i in range(4):
-                self.assertFalse(phase[i])
-            for other_clifford in cliffords:
-                self.assertNotEqual(clifford, other_clifford)
-            cliffords.append(clifford)
-
-        pauli_check_elements_list = [
-            [0, 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540],
-            [
-                576,
-                900,
-                1224,
-                1548,
-                1872,
-                2196,
-                2520,
-                2844,
-                3168,
-                3492,
-                3816,
-                4140,
-                4464,
-                4788,
-                5112,
-                5436,
-            ],
-            [
-                5760,
-                6084,
-                6408,
-                6732,
-                7056,
-                7380,
-                7704,
-                8028,
-                8352,
-                8676,
-                9000,
-                9324,
-                9648,
-                9972,
-                10296,
-                10620,
-            ],
-            [
-                10944,
-                10980,
-                11016,
-                11052,
-                11088,
-                11124,
-                11160,
-                11196,
-                11232,
-                11268,
-                11304,
-                11340,
-                11376,
-                11412,
-                11448,
-                11484,
-            ],
-        ]
-        cliff_utils = CliffordUtils(num_qubits=2, basis_gates=self.basis_gates)
-        for pauli_check_elements in pauli_check_elements_list:
-            phases = []
-            table = None
-            for n in pauli_check_elements:
-                clifford = cliff_utils.clifford_2_qubit(n)
-                if table is None:
-                    table = clifford.table.array
-                else:
-                    self.assertTrue(np.all(table == clifford.table.array))
-                phase = tuple(clifford.table.phase)
-                for other_phase in phases:
-                    self.assertNotEqual(phase, other_phase)
-                phases.append(phase)
-
     def test_number_to_clifford_mapping_single_gate(self):
         """Test that the methods num_from_1q_clifford_single_gate and
-        clifford_1_qubit_circuit perform the reverse operations from
-        each other"""
+        clifford_1_qubit_circuit perform the reverse operations from each other"""
         transpiled_cliff_list = [
             SXGate(),
             RZGate(np.pi),
@@ -895,17 +96,6 @@ def test_number_to_clifford_mapping_single_gate(self):
             RZGate(np.pi / 2),
             RZGate(-np.pi / 2),
         ]
-        transpiled_cliff_names = [gate.name for gate in transpiled_cliff_list]
-        qubits = [0]
-        cliff_utils = CliffordUtils(num_qubits=1, basis_gates=transpiled_cliff_names)
-        for inst in transpiled_cliff_list:
-            num = cliff_utils.num_from_clifford_single_gate(inst, qubits, rb_num_qubits=1)
-            qc_from_num = cliff_utils.clifford_1_qubit_circuit(num=num)
-            qr = QuantumRegister(1)
-            qc_from_inst = QuantumCircuit(qr)
-            qc_from_inst._append(inst, [qr[0]], [])
-            assert Operator(qc_from_num).equiv(Operator(qc_from_inst))
-
         general_cliff_list = [
             IGate(),
             HGate(),
@@ -916,127 +106,92 @@ def test_number_to_clifford_mapping_single_gate(self):
             YGate(),
             ZGate(),
         ]
-        general_cliff_names = [gate.name for gate in general_cliff_list]
-        cliff_utils = CliffordUtils(num_qubits=1, basis_gates=general_cliff_names)
-        for inst in general_cliff_list:
-            num = cliff_utils.num_from_clifford_single_gate(inst, qubits, rb_num_qubits=1)
-            qc_from_num = cliff_utils.clifford_1_qubit_circuit(num=num)
-            qr = QuantumRegister(1)
-            qc_from_inst = QuantumCircuit(qr)
-            qc_from_inst._append(inst, [qr[0]], [])
-            assert Operator(qc_from_num).equiv(Operator(qc_from_inst))
-
-    def test_number_to_clifford_mapping_1q(self):
-        """Test that the number generated by compose_num_with_clifford on qc
-        corresponds to the index of the circuit qc.
-        """
-
-        cliff_utils = CliffordUtils(num_qubits=1, basis_gates=self.basis_gates)
-
-        for index, qc in enumerate(cliff_utils._transpiled_cliffords_1q):
-            num = cliff_utils.compose_num_with_clifford(
-                composed_num=0,
-                qc=qc,
-            )
-            assert num == index
+        for inst in transpiled_cliff_list + general_cliff_list:
+            qc_from_inst = QuantumCircuit(1)
+            qc_from_inst.append(inst, [0])
+            num = num_from_1q_circuit(qc_from_inst)
+            qc_from_num = CliffordUtils.clifford_1_qubit_circuit(num)
+            self.assertTrue(Operator(qc_from_num).equiv(Operator(qc_from_inst)))
 
     def test_number_to_clifford_mapping_2q(self):
-        """Test that the number generated by compose_num_with_clifford on qc
-        corresponds to the index of the circuit qc.
-        """
-        cliff_utils = CliffordUtils(num_qubits=2, basis_gates=self.basis_gates)
-        for index in range(cliff_utils.NUM_CLIFFORD_2_QUBIT):
-            qc = cliff_utils.create_cliff_from_num(index)
-            num = cliff_utils.compose_num_with_clifford(
-                composed_num=0,
-                qc=qc,
-            )
-            assert num == index
+        """Test if num -> circuit -> num round-trip succeeds for 2Q Cliffords."""
+        for i in range(CliffordUtils.NUM_CLIFFORD_2_QUBIT):
+            qc = CliffordUtils.clifford_2_qubit_circuit(i)
+            num = num_from_2q_circuit(qc)
+            self.assertEqual(i, num)
 
     def test_compose_by_num_1q(self):
-        """Compare compose using num and Clifford to compose using two Cliffords, for
-        a single qubit"""
+        """Compare compose using num and Clifford to compose using two Cliffords, for a single qubit"""
         num_tests = 50
         rng = default_rng(seed=self.seed)
-        cliff_utils = CliffordUtils(num_qubits=1, basis_gates=self.basis_gates)
         for _ in range(num_tests):
-            num1 = rng.integers(0, cliff_utils.NUM_CLIFFORD_1_QUBIT - 1)
-            cliff1_qc = cliff_utils.clifford_1_qubit_circuit(num1)
-            num2 = rng.integers(0, cliff_utils.NUM_CLIFFORD_1_QUBIT - 1)
-            cliff2_qc = cliff_utils.clifford_1_qubit_circuit(num2)
-            transpiled_qc2 = transpile(
-                cliff2_qc, optimization_level=1, basis_gates=self.basis_gates
-            )
-            result_by_num = cliff_utils.compose_num_with_clifford(num1, transpiled_qc2)
-            clifford_from_num = cliff_utils.clifford_1_qubit_circuit(result_by_num)
-            clifford_from_compose = cliff1_qc.compose(cliff2_qc)
-            assert Operator(clifford_from_num).equiv(Operator(clifford_from_compose))
+            num1 = rng.integers(CliffordUtils.NUM_CLIFFORD_1_QUBIT)
+            num2 = rng.integers(CliffordUtils.NUM_CLIFFORD_1_QUBIT)
+            cliff1 = CliffordUtils.clifford_1_qubit(num1)
+            cliff2 = CliffordUtils.clifford_1_qubit(num2)
+            clifford_expected = cliff1.compose(cliff2)
+            clifford_from_num = CliffordUtils.clifford_1_qubit(compose_1q(num1, num2))
+            clifford_from_circuit = Clifford(cliff1.to_circuit().compose(cliff2.to_circuit()))
+            self.assertEqual(clifford_expected, clifford_from_num)
+            self.assertEqual(clifford_expected, clifford_from_circuit)
 
     def test_compose_by_num_2q(self):
-        """Compare compose using num and Clifford to compose using two Cliffords, for
-        two qubits"""
+        """Compare compose using num and Clifford to compose using two Cliffords, for two qubits"""
         num_tests = 100
         rng = default_rng(seed=self.seed)
-        cliff_utils = CliffordUtils(num_qubits=2, basis_gates=self.basis_gates)
         for _ in range(num_tests):
-            num1 = rng.integers(0, cliff_utils.NUM_CLIFFORD_2_QUBIT - 1)
-            cliff1_qc = cliff_utils.clifford_2_qubit_circuit(num1)
-            num2 = rng.integers(0, cliff_utils.NUM_CLIFFORD_2_QUBIT - 1)
-            cliff2_qc = cliff_utils.clifford_2_qubit_circuit(num2)
-            transpiled_qc2 = transpile(
-                cliff2_qc, optimization_level=1, basis_gates=self.basis_gates
-            )
-            result_by_num = cliff_utils.compose_num_with_clifford(num1, transpiled_qc2)
-            clifford_from_num = cliff_utils.clifford_2_qubit_circuit(result_by_num)
-            clifford_from_compose = cliff1_qc.compose(cliff2_qc)
-            assert Operator(clifford_from_num).equiv(Operator(clifford_from_compose))
+            num1 = rng.integers(CliffordUtils.NUM_CLIFFORD_2_QUBIT)
+            num2 = rng.integers(CliffordUtils.NUM_CLIFFORD_2_QUBIT)
+            cliff1 = CliffordUtils.clifford_2_qubit(num1)
+            cliff2 = CliffordUtils.clifford_2_qubit(num2)
+            clifford_expected = cliff1.compose(cliff2)
+            clifford_from_num = CliffordUtils.clifford_2_qubit(compose_2q(num1, num2))
+            clifford_from_circuit = Clifford(cliff1.to_circuit().compose(cliff2.to_circuit()))
+            self.assertEqual(clifford_expected, clifford_from_num)
+            self.assertEqual(clifford_expected, clifford_from_circuit)
 
     def test_inverse_by_num_1q(self):
         """Compare inverse using num to inverse using Clifford"""
-        num_tests = 10
-        rng = default_rng(seed=self.seed)
-        cliff_utils = CliffordUtils(num_qubits=1, basis_gates=self.basis_gates)
-        for _ in range(num_tests):
-            num = rng.integers(0, cliff_utils.NUM_CLIFFORD_1_QUBIT - 1)
-            cliff_qc = cliff_utils.clifford_1_qubit_circuit(num)
-            inverse_num = cliff_utils.clifford_inverse_by_num(num)
-            inverse_by_num = cliff_utils.clifford_1_qubit_circuit(inverse_num)
-            inverse_cliff = Clifford(cliff_qc).adjoint()
-            assert (Operator(inverse_by_num)).equiv(Operator(inverse_cliff))
+        num_tests = 24
+        for num in range(num_tests):
+            cliff = CliffordUtils.clifford_1_qubit(num)
+            clifford_expected = cliff.adjoint()
+            clifford_from_num = CliffordUtils.clifford_1_qubit(inverse_1q(num))
+            clifford_from_circuit = Clifford(cliff.to_circuit().inverse())
+            self.assertEqual(clifford_expected, clifford_from_num)
+            self.assertEqual(clifford_expected, clifford_from_circuit)
 
     def test_inverse_by_num_2q(self):
         """Compare inverse using num to inverse using Clifford"""
         num_tests = 100
         rng = default_rng(seed=self.seed)
-        cliff_utils = CliffordUtils(num_qubits=2, basis_gates=self.basis_gates)
         for _ in range(num_tests):
-            num = rng.integers(0, cliff_utils.NUM_CLIFFORD_2_QUBIT - 1)
-            cliff_qc = cliff_utils.clifford_2_qubit_circuit(num)
-            inverse_num = cliff_utils.clifford_inverse_by_num(num)
-            inverse_by_num = cliff_utils.clifford_2_qubit_circuit(inverse_num)
-            inverse_cliff = Clifford(cliff_qc).adjoint()
-            assert (Operator(inverse_by_num)).equiv(Operator(inverse_cliff))
-
-    def is_permutation(self, num_elements, perm):
-        """Check that the input list is a permutation of the numbers [0, num_elements]."""
-        all_nums = {i: False for i in range(num_elements)}
-        for n in all_nums:
-            if all_nums[perm[n]]:
-                raise QiskitError("Not a permutation")
-
-            all_nums[perm[n]] = True
-        assert all(x is True for x in all_nums.values())
-
-    def test_layers_to_num(self):
-        """Check that all 2 clifford numbers form a permutation over [0, 11519]"""
-        cliff_utils = CliffordUtils(num_qubits=2, basis_gates=self.basis_gates)
-        cliff_utils.transpile_2q_cliff_layers()
-        self.is_permutation(cliff_utils.NUM_CLIFFORD_2_QUBIT, CLIFF_LAYERS_TO_NUM_2Q)
+            num = rng.integers(CliffordUtils.NUM_CLIFFORD_2_QUBIT)
+            cliff = CliffordUtils.clifford_2_qubit(num)
+            clifford_expected = cliff.adjoint()
+            clifford_from_num = CliffordUtils.clifford_2_qubit(inverse_2q(num))
+            clifford_from_circuit = Clifford(cliff.to_circuit().inverse())
+            self.assertEqual(clifford_expected, clifford_from_num)
+            self.assertEqual(clifford_expected, clifford_from_circuit)
+
+    def test_num_layered_circuit_num_round_trip(self):
+        """Test if num -> circuit with layers -> num round-trip succeeds for 2Q Cliffords."""
+        for i in range(CliffordUtils.NUM_CLIFFORD_2_QUBIT):
+            self.assertEqual(i, compose_2q(0, i))
 
     def test_mapping_layers_to_num(self):
         """Test the mapping from numbers to layer indices"""
-        cliff_utils = CliffordUtils(num_qubits=2, basis_gates=self.basis_gates)
-        for i in range(cliff_utils.NUM_CLIFFORD_2_QUBIT):
-            indices = cliff_utils.layer_indices_from_num(i)
-            reverse_i = cliff_utils.num_from_layer_indices(indices)
-            assert i == reverse_i
+        for i in range(CliffordUtils.NUM_CLIFFORD_2_QUBIT):
+            indices = _layer_indices_from_num(i)
+            reverse_i = _num_from_layer_indices(indices)
+            self.assertEqual(i, reverse_i)
+
+    def test_num_from_layer(self):
+        """Check if 2Q clifford from standard/layered circuit has a common integer representation."""
+        for i in range(CliffordUtils.NUM_CLIFFORD_2_QUBIT):
+            standard = CliffordUtils.clifford_2_qubit(i)
+            circ = QuantumCircuit(2)
+            for layer, idx in enumerate(_layer_indices_from_num(i)):
+                circ.compose(_CLIFFORD_LAYER[layer][idx], inplace=True)
+            layered = Clifford(circ)
+            self.assertEqual(standard, layered)
diff --git a/test/library/randomized_benchmarking/test_randomized_benchmarking.py b/test/library/randomized_benchmarking/test_randomized_benchmarking.py
index 18de890a70..5833db0a6d 100644
--- a/test/library/randomized_benchmarking/test_randomized_benchmarking.py
+++ b/test/library/randomized_benchmarking/test_randomized_benchmarking.py
@@ -21,7 +21,7 @@
 from qiskit.circuit import Delay, QuantumCircuit, Parameter
 from qiskit.circuit.library import SXGate, CXGate, TGate, CZGate
 from qiskit.exceptions import QiskitError
-from qiskit.providers.fake_provider import FakeManilaV2, FakeWashington
+from qiskit.providers.fake_provider import FakeManila, FakeManilaV2, FakeWashington
 from qiskit.pulse import Schedule, InstructionScheduleMap
 from qiskit.quantum_info import Operator
 from qiskit_aer import AerSimulator
@@ -199,7 +199,7 @@ class TestInterleavedRB(QiskitExperimentsTestCase, RBTestMixin):
     def setUp(self):
         """Setup the tests."""
         super().setUp()
-        self.backend = FakeManilaV2()
+        self.backend = FakeManila()
         self.backend_with_timing_constraint = FakeWashington()
 
     # ### Tests for configuration ###
@@ -372,6 +372,26 @@ def test_interleaving_parameterized_circuit(self):
         # for qc in circuits:
         #     self.assertEqual(qc.num_parameters, 0)
 
+    # ### Tests for transpiled circuit generation ###
+    def test_interleaved_circuit_is_decomposed(self):
+        """Test if interleaved circuit is decomposed in transpiled circuits."""
+        delay_qc = QuantumCircuit(2)
+        delay_qc.delay(160, [0])
+        delay_qc.x(1)
+
+        exp = rb.InterleavedRB(
+            interleaved_element=delay_qc,
+            qubits=[1, 2],
+            lengths=[3],
+            num_samples=1,
+            seed=1234,
+            backend=self.backend,
+        )
+        transpiled = exp._transpiled_circuits()
+        for qc in transpiled:
+            self.assertTrue(all(not inst.operation.name.startswith("circuit") for inst in qc))
+            self.assertTrue(all(not inst.operation.name.startswith("Clifford") for inst in qc))
+
 
 class RBRunTestCase(QiskitExperimentsTestCase, RBTestMixin):
     """Base test case for running RB experiments defining a common noise model."""
@@ -703,7 +723,7 @@ def test_two_qubit_with_cz(self):
         # Since this is interleaved, we can directly compare values, i.e. n_gpc = 1
         epc = expdata.analysis_results("EPC")
         epc_expected = 3 / 4 * self.pcz
-        self.assertAlmostEqual(epc.value.n, epc_expected, delta=0.1 * epc_expected)
+        self.assertAlmostEqual(epc.value.n, epc_expected, delta=3 * epc.value.std_dev)
 
     def test_expdata_serialization(self):
         """Test serializing experiment data works."""