diff --git "a/minimize_length_of_array_using_operations/scala_tests/MySuite.scala" "b/minimize_length_of_array_using_operations/scala_tests/MySuite.scala"
new file mode 100644--- /dev/null
+++ "b/minimize_length_of_array_using_operations/scala_tests/MySuite.scala"
@@ -0,0 +1,36 @@
+
+class MySuite extends munit.FunSuite {
+  
+  test("test1") {
+    assertEquals(Main.minimumArrayLength(List(1,4,3,1)), 1)
+  }
+
+  test("test2") {
+    assertEquals(Main.minimumArrayLength(List(5,5,5,10,5)), 2)
+  }
+
+  test("test3") {
+    assertEquals(Main.minimumArrayLength(List(2,3,4)), 1)
+  }
+
+  test("test4") {
+    assertEquals(Main.minimumArrayLength(7,5,3,2,4), 1)
+  }
+
+  test("test5") {
+    assertEquals(Main.minimumArrayLength(65,7,5,67,75,39,34,13,48,65), 1)
+  }
+
+  test("test6") {
+    assertEquals(Main.minimumArrayLength(895,535,66,348,458,823,698,558,55,155,340,252,115,433,59,14,610,890,533,305,356,823,380,965,881,252,489,852,562,171,990,976,28,82,820,192,275,618,79,752,504,720,519,115,507,255,298,86,108,417,437,935,371,704,962,333,487,478,640,203,94,709,269,173,375,538,488,101,986,899,58,543,167,701,212,226,671,562,728,969,733,647,825,117,968,364,434,161,311,623,615,717,482,945,313,134,520,390,499,756,614,454,987,129,155,523,544,935,130,885,89,338,423,950,933,949,40,644,769,272,236,873,337,211,349,930,253,499,788,843,632,330,257,333,47,843,914,490,939,721,733,44,898,192,528,306,260,358,95,424,804,496,973,322,391,664,257,147,684,389,803,326,15,697,140,105,929,316,310,56,726,583,954,388,452,416,446,112,200,134,495,232,361,915,538,199,853,771,562,868,342,936,276,770,120,108,28,474,903,772,962,728,340,928,671,889,13,263,589,916,476,501,310,501,879,538,806,864,769,409,838,198,81,755,166,476,824,461,182,231,171,669,643,689,513,745,357,217,784,583,195,810,42,133,645,28,334,245,155,27,352,139,982,943,211,217,775,182,924,443,984,265,96,24,668,987,77,825,685,705,209,132,20,891,50,498,383,473,917,151,177,451,692,725,393,666,771,215,862,451,11,998,158,714,467,918,771,340,359,838,889,253,534,263,38,323,717,331,125,182,656,155,668,505,91,341,157,393,234,343,296,970,608,521,111,310,606,908,208,660,477,596,202,821,250,469,593,753,320,806,503,892,471,148,253,146,634,165,555,103,268,570,531,1000,158,846,856,852,596,710,922,202,313,24,276,493,617,337,631,867,66,131,254,262,543,676,846,50,499,504,502,536,110,500,11,428,810,237,702,926,143,5,547,625,599,681,960,627,282,273,835,932,538,691,366,336,849,505,399,693,480,652,303,847,104,662,96,696,986,977,831,164,57,236,471,542,629,519,351,316,228,380,418,375,973,707,970,168,467,262,737,681,723,514,403,298,265,155,794,220,809,737,457,990,420,917,488,685,302,222,993,792,26,800,577,840,258,213,406,21,32,101,844,798,916,400,130,710,700,302,171,379,595,118,237,21,734,27,980,753,688,191,476,234,128,718,317,465,755,751,159,869,202,489,78,867,303,775,886,711,204,716,138,615,819,478,622,801,474,632,681,319,183,212,725,65,948,563,556,232,445,993,126,464,317,450,160,699,560,280,688,178,303,166,358,94,751,891,261,805,648,552,428,826,745,387,957,411,776,40,398,430,835,195,14,988,630,204,789,590,809,978,322,975,436,983,356,895,725,911,107,724,226,943,788,429,741,240,809,325,796,251,380,395,949,277,931,121,301,633,977,608,81,46,838,807,436,202,273,853,369,735,692,111,804,43,802,838,287,51,221,603,92,361,763,177,883,827,370,242,841,317,638,725,610,357,965,677,27,607,909,117,405,246,747,624,168,159,425,111,704,473,52,402,85,914,123,21,139,47,904,286,108,713,304,47,655,474,378,319,821,62,400,894,668,823,601,403,236,474,873,282,982,807,808,530,740,268,886,623,261,673,775,543,581,989,623,513,779,352,316,934,496,764,902,103,675,67,572,488,314,194,821,437,74,989,937,859,576,114,925,87,230,778,869,839,635,106,846,845,316,857,207,389,568,432,86,380,460,800,497,191,830,401,490,816,967,595,397,557,943,858,581), 1)
+  }
+
+  test("test7") {
+    assertEquals(Main.minimumArrayLength(3721,332,7193,3646,7062,4704,6262,4369,8052,3640,8655,9043,7741,2130,6761,2336,8367,3725,8659,9759,7038,9190,2703,2665,9834,2287,4351,4548,7896,4637,1349,4258,3135,8522,5425,5142,7611,2352,253,1118,6364,3002,7801,9328,9234,3367,5276,7319,8683,3484,3970,6919,2176,2471,364,1819,4556,3441,4405,5333,9121,9598,7396,3891,3406,6566,3247,1505,6232,6880,51,5129,223,1246,9562,3930,1017,2742,2720,4777,2904,9647,9935,5929,7279,5719,3017,3390,1813,6660,5491,1691,7873,5277,2819,8786,1767,5346,5858,3338,8626,2655,6228,8895,1675,1206,5951,3707,2932,7322,5885,3241,5449,8221,1581,4373,8269,5770,8894,8837,4469,5096,3382,6760,6343,5279,9948,2372,8375,2186,1755,2450,1478,9408,2390,3334,8800,1245,8366,9040,5554,6115,6953,7472,6612,1244,2363,5153,301,9310,7481,4678,432,115,5752,5208,2822,5789,7237,1747,9259,93,2411,1715,9117,8548,394,2942,534,2198,7050,1824,4490,8519,8164,464,8455,6350,295,2861,9809,3255,9852,1021,1473,7377,4613,4154,3717,5558,4647,1693,2714,4889,7559,5775,8978,3702,5053,1672,1938,7194,9886,9711,2970,6434,6504,191,5522,8708,1000,7974,1979,6675,5010,3977,8214,4879,8065,6687,9502,1105,6808,6555,9537,7782,3283,5950,7207,5616,933,514,2252,7454,5292,2966,8707,2708,2088,3167,5780,1747,7271,8556,2156,7239,2373,7927,3431,3570,1150,3465,7850,6456,1145,957,2814,5372,5526,309,8786,5734,3298,6424,7418,5994,2004,267,7733,5212,4763,1736,1815,8736,932,2902,8421,5918,6992,8636,9402,1567,3372,5128,6580,4384,7039,8428,5260,4923,6958,5491,5420,9382,2853,6080,5015,1897,7617,2234,3158,1411,1924,9699,9016,7707,6567,5850,5186,5709,1951,9878,7080,5069,9383,3971,3457,4332,3645,1801,1836,9526,3869,4335,420,5348,8939,5893,6172,6144,3072,1704,4080,3844,2178,7107,1623,4292,1472,377,3296,8048,3477,608,8251,1846,4063,7261,2319,6773,9877,5562,5058,1532,5628,9269,5996,1361,8730,8,66,6079,4460,3008,4334,2242,9717,5635,5921,1844,8586,499,4982,622,3498,7012,365,8242,2363,2586,6650,1514,5177,8146,9185,6838,126,760,9382,6060,6819,7205,8866,2591,286,6712,1940,8353,807,5656,7107,1872,5451,9888,6050,3907,909,8982,5615,9370,6478,2629,754,4789,618,6971,7444,2599,3186,1248,8325,5565,9178,1336,3693,8517,2727,1307,8797,6481,5743,5184,630,5311,4660,8900,4322,1930,511,2291,9566,8741,5014,1417,1004,5344,1118,9417,825,5392,6059,4736,5726,4647,9453,202,105,5259,2146,8072,4694,7243,8684,1649,6915,5043,8233,7728,3118,3439,4844,5415,2809,8213,4424,7937,6095,3637,6873,6479,8539,5845,3051,617,3049,8682,6335,3730,3129,4138,5471,3919,2510,3096,4506,8595,3513,8470,6369,9767,4598,7650,9641,3410,5166,8832,9871,9705,9675,3326,3087,1587,6812,7939,5261,4668,8735,4866,3743,6946,2818,5167,485,8669,146,9370,5011,4708,7570,4736,1314,6901,3969,6798,9984,6882,1793,5047,8077,7969,7228,2764,9659,667,7663,3722,489,7990,1659,4181,7494,7328,7043,2686,750,1984,3029,8772,5824,6213,4841,4515,974,1629,468,6518,1133,493,5945,6211,2513,723,902,766,8731,1987,8304,787,923,9677,2607,2293,2282,2596,1689,6330,4214,9232,5042,5525,2814,7519,5598,8311,8786,6205,9382,194,460,2080,9092,9637,5700,7583,3341,1437,3303,8197,3853,3693,7972,3146,6784,9291,6781,4443,3731,251,4630,8826,3969,6734,9650,9523,341,8727,8115,9376,1069,8542,163,5898,4403,4569,5810,7859,5892,8359,1049,728,6797,2899,3453,9771,2675,236,96,6938,476,1531,9529,8649,1206,5497,1259,1151,6588,2319,124,1680,6883,1954,5494,4528,5748,6323,5008,6390,5290,1510,1717,1253,1232,5236,1213,8187,336,6543,7564,2179,2515,4802,6943,1119,1288,7695,5469,1118,3013,8453,8659,3887,6094,9437,2841,7975,9693,6032,2456,8563,6777,7878,2520,8619,8141,9689,5346,7104,6452,569,1359,8133,8374,9874,262,3001,7337,2445,3975,6833,6684,3316,4359,2612,5668,2961,3731,9916,273,7389,1187,7273,5754,4770,5738,395,8794,2276,9944,2270,676,4132,9022,8505,5154,9033,8402,5814,9732,8794,5647,8243,9204,2965,6294,9588,2398,8154,4278,6886,2704,6124,6207,8773,3867,6317,4934,5202,1734,8007,3011,4321,2631,6594,2139,2461,6001,9897,4999,1542,7945,8305,2752,6584,4169,9190,5899,3086,7877,9164,1287,5016,1750,437,1787,1429,1420,2075,3000,3348,4818,6608,4769,5358,3544,6196,1064,5019,9432,1110,9171,6244,4872,2861,2324,4377,9491,8306,4394,7267,1845,8243,6938,4226,2359,8881,1702,9721,7838,5960,9778,9590,5613,8523,8062,9206,3977,8718,6825,3625,7399,5480,5803,763,7941,4721,252,7553,8254,1993,3895,6747,7615,8965,2657,7608,930,3174,5835,9638,7756,9776,976,2373,8791,8781,8386,6635,6356,6373,4876,5659,7156,1092,109,6155,9983,285,8930,6971,125,2225,3290,7793,923,150,1973,7022,9586,3811,719,2411,4354,3175,6119,741,4896,4861,393,5286,1375,5437,4308,6448,3951,2968,1104,9060,4180,1490,9561,8658,3197,6082,2315,6076,9157,8856,2488,9746,4206,6865,9401,6188,9111,9973,9653,2706,3958,2378,7155,260,9037,2918,8491,393,8107,4767,5090,8214,1082,894,5579,457,1464,1552,5568,6732,7003,5075,482,9829,1350,4768,3028,1171,7996,5826,8876,9053,3168,8400,2056,2477,9011,1540,19,14,5453,2815,4677,9865,7732,9566,302,5336,3328,1358,4149,9716,3951,7201,4159,9985,6329,2825,9731,3936,8950,524,6386,3385,282,3358,4444,5189,2386,8722,5135,5045,7141,1090,7215,6310,4567,4418,6466,5915,193,3929,9539,342,4469,3052,6143,6283,505,9588,4842,7092,2004,2152,7113,2640,6931,4863,9392,8803,9973,1468,4850,3503,1658,6624,5108,4022,197,8813,554,1478,4805,3075,306,2252,8329,5763,3884,8741,8103,5769,2892,9377,4536,9897,6077,7054,8102,2608,4140,1024,7834,1872,5052,1863,1828,5404,6285,9544,9888,3912,6200,9738,2660,901,1819,5303,2996,9001,6512,5677,9543,6710,6412,108,883,4513,7924,6217,9756,9326,1468,6029,7301,2249,5735,5326,8580,8977,6915,6958,8916,7886,519,8575,9038,6532,7248,2084,6304,3377,1195,8028,5414,7894,6078,5396,1935,5176,6877,5086,6993,2384,1604,8876,8735,6111,520,982,2135,1152,8781,5708,340,2932,8997,7344,247,7230,6726,1282,944,9779,8296,2891,5099,9886,7444,6524,4252,6554,4921,6166,9553,1152,9222,4524,6269,6464,8865,7901,6576,9052,6389,8946,1593,141,5613,7925,9559,9332,8988,8768,7381,3521,9786,339,9916,3333,4264,3718,4753,4055,5044,7316,9595,6589,8475,8728,7716,6854,2539,8709,3524,1977,7492,2620,1459,9093,338,762,9741,3949,2358,4190,7149,9571,5277,9835,8973,3676,277,6973,2911,6544,837,862,7298,5643,381,4033,9329,2996,8166,9608,9058,4693,6674,2448,2650,4745,1501,5370,4655,5971,9290,8580,8563,9010,3892,298,574,4432,2284,6415,9843,5561,6200,1164,9929,8966,1970,6663,7675,7986,6792,9175,9495,7993,3750,4801,7616,1269,6816,6299,7660,5958,7223,9542,5790,6152,9240,2071,5006,927,7770,9347,4413,7411,5426,8080,7729,2998,75,2917,1780,1763,698,10000,8732,4983,5151,9444,2178,8840,6902,1538,6951,450,4752,7337,5671,7525,5031,3191,6999,125,7105,872,2519,4698,9439,4570,1271,6723,1525,2480,3910,1331,625,600,4434,356,7389,870,3889,3350,4182,7067,3409,3081,2210,1603,4144,3760,447,8299,6251,9903,6004,10,1586,3682,3794,9485,1475,5308,7112,967,2182,8668,8671,810,5701,1731,9667,846,7312,3233,2214,6784,861,8418,1684,3359,6608,8465,5989,1699,2183,2605,3324,2733,3690,4805,203,4051,1303,9837,4548,7659,8080,9333,853,829,9318,5018,2514,2322,2775,5372,2897,2840,2576,9722,6676,5899,6679,5732,219,8009,5205,2908,4376,397,5137,7040,9309,3166,908,5192,6125,7310,6928,3898,4442,8332,9566,3915,6232,249,9090,3960,6598,3395,2831,6537,2306,1096,2987,4624,5285,8120,7589,3790,7118,4137,3590,5840,7992,9697,3978,7172,9008,6239,2145,7471,3456,4260,7774,153,1066,4669,4557,5417,6358,9328,8437,9411,580,4703,2569,7150,4298,3065,1020,6967,3675,7824,477,3183,7893,5729,3296,7217,612,4040,7470,4099,604,8404,9413,1134,640,4765,536,8798,3067,1802,4394,9446,5233,897,4650,5063,3699,251,4331,4976,4400,9903,1086,6596,788,6506,4738,6373,9371,3289,929,9111,3092,9186,5638,9107,3174,1823,9341,8930,500,6486,1525,557,137,4594,8385,4157,3401,754,7404,1599,946,1916,1587,5803,208,1079,7575,7290,1434,7826,855,7741,304,5227,1018,6616,7747,2689,5008,2422,2496,3470,1565,7100,2811,3668,7890,6808,5787,9289,9815,8587,1645,7115,9435,427,4347,4884,9136,9318,6393,8758,3247,3960,982,1383,5755,3727,1,3331,3088,5273,4428,627,9132,9563,1078,9478,9902,5764,8683,1085,2758,8396,5663,2154,9123,7296,8583,1959,2127,2004,3921,4319,252,5500,2472,4021,8850,4299,6168,2731,1304,8284,6351,2712,6632,2599,466,1003,8559,143,3528,386,661,5498,3392,2419,4420,5253,3667,6928,2360,4206,7384,771,4143,3589,2240,5873,5017,7792,7683,6881,2330,4580,7802,912,8133,7915,8036,3316,323,5553,1529,9855,3980,3597,2469,4639,8585,3713,3770,8918,7185,1646,7889,3324,7526,4476,5879,6928,1243,1478,111,5164,1157,9757,6978,8091,454,3352,4773,4590,5616,8882,5794,5337,9573,6223,8857,4682,5390,1701,1684,8675,1831,371,7233,9294,6008,6798,6359,6540,5582,2497,8265,5191,6903,8513,5822,3598,2119,5222,6948,9055,394,2766,488,3824,3803,2690,6420,4900,7112,61,5532,2799,793,9910,5242,5379,120,4262,8476,8583,3391,1481,6846,2132,7145,410,5865,3867,5256,5980,2779,5859,9212,8305,6303,1584,6215,1921,3334,1410,3571,3973,2625,9722,8825,6395,6707,2228,129,3661,7828,6358,4241,138,7928,6052,5748,3227,8258,9879,129,50,2904,9322,2180,8871,6130,7418,302,1013,4598,7300,5583,9619,7828,8601,4270,7749,2870,6989,470,1638,4364,1138,4054,6437,5272,1478,1918,8037,9626,7930,3911,5175,4375,956,3377,4799,6499,6618,9463,2053,5148,9576,586,5658,866,8961,9101,3081,9750,1696,7282,458,1257,1662,8897,6026,6612,3754,4875,8067,8615,9788,1268,340,7023,464,1294,6797,4727,234,5419,9082,5148,4703,8746,202,7567,7254,2636,2688,3356,6189,9681,6326,1556,6099,5250,2288,8370,6661,5858,2637,6267,8909,9215,8779,7811,4877,1707,2448,1807,5253,3154,112,7732,5260,682,5468,2701,2057,3990,2736,8600,2051,4385,7381,322,458,7543,2874,9258,9714,3521,5630,2772,8391,9408,1442,8118,9687,7660,9034,341,5762,2999,2304,9307,6002,2522,7315,7180,9665,1884,958,6800,7069,1319,9129,5381,9697,6921,2582,1676,7914,8195,566,521,2116,6170,7809,490,6706,1188,7364,3247,6804,1916,1953,8733,4514,1881,9707,9646,4352,1155,3517,8850,185,4711,7695,4149,5301,5534,8126,6360,8742,5470,1825,9918,9474,6000,8089,1355,703,5103,1990,8645,2550,189,3176,2399,9063,3169,5427,2384,6262,8250,5836,9967,7995,1649,4535,7935,1177,5286,7953,9724,9825,3551,4508,4809,7929,6303,5140,5799,629,5555,4695,2755,8995,7564,3552,15,4328,9622,4632,5724,7013,2531,1923,8124,6599,8368,6911,4337,4139,8649,7713,5759,5388,1180,3176,8501,8967,9976,7837,9493,4086,3320,6476,4387,3405,7894,4042,1554,4113,65,9729,8176,8375,1995,7424,3501,6725,8342,6895,4961,927,8701,191,5831,6931,7083,7096,2145,3570,5577,871,1528,244,6471,176,8435,7059,4403,8856,2764,579,1388,914,8917,1393,9529,9926,8043,7298,9687,5436,4667,8135,4862,8875,6046,8435,571,2963,565,3812,6529,1703,5003,534,7944,9259,496,4969,5249,5595,5359,2977,3516,207,5627,4143,5392,8882,1777,8348,6142,1523,1120,5819,69,3032,2422,3979,1842,9344,778,4268,7845,4280,2946,8941,6754,6557,8961,922,8467,2235,1304,5556,4379,6895,8320,5217,990,6016,7337,5286,4935,5542,7254,6464,7681,6999,2537,1451,4282,3035,5273,3967,8408,5139,8346,8043,2983,7484,8533,4805,7525,8488,9417,1167,3798,4939,7410,1541,2966,7258,129,5014,7043,7840,8139,6036,6365,8424,829,4841,4714,5319,788,8301,1113,103,6596,4419,4052,8545,6839,7020,6766,9980,5979,830,8428,1619,7968,3483,3103,9190,4978,9351,579,1652,6434,7781,1177,7105,3978,9763,670,6458,3381,8100,2996,2577,9350,4396,3027,1392,5534,3420,9200,4341,9051,4456,3648,9639,6415,7202,494,5079,1198,5491,9625,6680,1052,1665,5750,4694,388,6822,5751,1757,9133,3684,4055,2295,5464,1654,2219,2433,3800,3259,7862,5401,2201,9681,2742,4274,3933,352,5944,6303,4062,6558,6860,4525,9947,937,1635,768,8909,446,4457,8170,7048,5402,990,2303,6793,1832,3814,8663,5681,7377,9541,7831,2247,9580,6190,9703,3107,5020,6437,6421,4330,6449,1272,9807,8809,6494,2395,825,4164,3680,1488,1275,3286,6288,4435,2347,8339,9795,3288,7776,4535,5434,2242,4022,6199,8953,5618,6640,3376,7643,3696,1829,198,9387,3508,6657,8477,5807,6870,3692,1436,8683,3584,9458,8559,5876,5250,2700,6841,6676,3022,1650,9241,880,1835,1147,7019,9467,9186,3857,3693,5005,8845,4840,4095,2781,4294,2420,8609,9249,1770,7628,2156,7620,399,7706,5142,1997,4931,5170,1686,2166,7092,6707,3381,4836,197,736,9779,2337,9762,3246,2383,4502,1762,6046,4712,5863,9649,6446,9436,3484,5052,1770,3855,3351,3324,9434,8037,3149,6489,8412,3283,7276,4497,2984,579,2266,285,1041,1767,8507,1304,1140,5624,1034,2632,137,2808,2223,7278,8231,4516,8899,5347,8502,7940,62,1751,2745,4204,9208,9451,2602,2645,3479,2828,6855,6549,8956,5040,3966,4320,4280,1789,2496,5032,1961,4373,2740,3735,3737,5246,1990,3055,6526,751,5607,4828,1174,3659,7803,3441,8630,4815,4143,8314,9910,7735,3860,8387,9284,6411,9329,8245,2369,337,201,9963,1035,6652,7391,2407,5219,8955,4128,4582,1884,6168,1039,1607,8190,7034,157,2478,8209,9833,2564,2350,6623,8298,7611,3268,1133,4626,3695,7513,8088,7253,8831,7840,2531,8919,7648,4743,6222,7618,244,3170,415,4288,1589,4612,3091,6536,7837,5485,1263,3652,6098,1633,9762,9080,5131,9370,2568,3010,9957,6586,6432,6599,6640,588,4034,2843,9051,8990,5005,1919,2414,8429,6282,3406,7982,2353,3113,2439,9382,6599,1437,772,1786,4115,5820,1557,6816,1818,109,349,8609,6571,3438,5873,5681,5019,4990,6488,456,7038,9514,3862,5254,1892,4896,9928,7569,5624,2657,2387,3389,2034,2929,5136,9569,3090,8396,5507,627,8907,6984,2050,9364,6902,4374,7223,535,4810,2075,7979,6943,4144,6648,4776,2763,1486,3139,4336,7303,3611,9852,8055,929,9651,8500,1995,4107,5020,5622,2588,7835,1635,7503,6212,9025,8034,8055,8223,1098,6249,7734,1384,1132,2072,6766,7017,5351,7809,6386,8441,2807,758,1456,6100,9417,322,2171,2654,4131,4332,3843,172,4271,4013,3909,9953,3129,6288,7751,5970,7508,9357,5412,6220,6113,4587,2236,6270,3846,8480,7592,8319,9776,8546,7861,9790,571,327,8572,1028,9217,2119,4933,1991,1980,9802,8485,1673,4833,1320,2180,2781,7392,100,4912,2428,2737,5983,906,5087,5147,4529,5800,3426,6369,4157,3513,8904,7040,2687,7817,2672,7959,9784,8776,9746,1630,24,4481,8562,4745,525,1109,7836,2619,6287,7914,4193,6548,2223,1612,1183,7118,8595,1988,8204,2577,4726,5712,4530,5917,655,2427,4476,5460,4665,3857,2002,372,1739,3925,7494,176,3234,7109,5158,5649,2918,7284,3372,612,9741,2367,6174,6520,7307,1821,207,6380,8813,4521,6650,2995,2398,879,5537,2414,5397,1925,5960,6391,1266,4690,2038,413,2211,7855,4060,3610,552,1327,745,4142,9294,5453,9609,4687,842,8310,4599,9887,9463,9486,2336,3847,5232,7161,8686,8878,4278,9348,5786,7057,6710,7471,2509,7711,3855,9349,9522,8437,9483,4068,6706,9617,4491,7980,7116,2867,9850,3250,5263,2864,6716,1987,6095,6550,7356,7423,6080,216,9092,1505,8720,8107,4915,5002,9762,5880,4282,8384,7616,8293,3797,8371,154,6200,797,3624,4590,809,9953,8272,7207,2293,8174,6864,9202,2218,7927,8106,1312,1212,8267,6505,8845,8232,8025,1357,6916,8704,4185,8231,1033,5574,5455,5413,4478,5345,3764,9926,1897,7538,9552,8462,778,9155,4176,4591,9396,642,8745,5196,6274,2441,1335,3947,7922,3841,7357,4595,2518,9767,3546,4930,3271,2107,4021,8704,8177,9012,6659,4368,8220,258,1094,559,9629,1970,3747,7346,5391,4376,2910,1560,3889,3682,9436,1413,144,8093,1885,3344,6323,6062,5994,4471,6804,9313,8055,8246,8062,8558,7795,6568,9820,5332,8323,8337,8582,2053,8854,3039,3273,4614,4007,1114,1259,403,8952,5017,6732,5382,2652,9343,2909,1052,6363,9798,9578,193,6638,1988,553,5423,9862,7495,5720,6680,6332,3321,8321,4070,8532,8210,3194,8061,1482,4473,8872,3380,105,6863,2670,3191,4569,2287,5968,2848,7951,6454,7639,6486,381,1060,4671,664,435,913,7175,3050,4593,2903,1315,1512,4585,228,1273,6161,5015,5759,2058,6749), 1)
+  }
+
+  test("test8") {
+    assertEquals(Main.minimumArrayLength(880134581,772576344,399895356,285967908,867328643,442745784,424034268,345772360,916019994,542598802,933956188,790793630,683928860,739568265,956222957,333512601,626919162,553949110,627736799,918401986,613953728,387419984,458262981,817382805,248018453,688854223,838755468,470061499,869401840,303790130,838894964,165822129,594444959,243189521,669050758,737400510,231655911,30326960,235299222,649728743,671186820,286886018,436529751,185275958,547596220,600755891,209994949,961919305,375781259,759825101,626503060,25211291,934281965,321043477,542621448,689843640,219739535,411035537,449771194,226860314,896492991,996264811,215102042,756270916,178304891,261744798,558714022,706782684,956959014,490566913,542120187,719256649,416303989,61347588,153604934,762771462,603882321,427415285,765590810,150127576,154080204,615974251,14547133,593013610,676690296,667964848,886562719,918748935,986729577,62084349,924807360,626914636,218372326,166342871,420648285,955220235,891435030,565138979,521600366,338037871,754271599,107000763,888415279,351965887,701171583,473187119,448322308,683063263,621336856,441295215,451921142,675330910,627256387,818825062,44897016,582385043,393380812,340108689,233337944,392598383,130523171,482971695,852799954,106048655,369166645,522158820,499886164,611754363,216567126,415808131,14652524,258245719,924670087,192796564,317461463,753866154,890410282,980006795,352341946,490438905,169688110,37675331,394193105,631912887,669203877,65544428,970631344,706011143,8176764,501677981,339117111,176773217,791368146,587962126,627740643,733236899,611860782,562305253,766521040,312178013,47761851,98432974,588162107,444674798,571338681,114611482,583158315,926899872,897431605,836739450,768186063,310965058,139757743,778356561,367377726,710071529,865143542,116307916,867012046,356666333,921026908,54450768,134760156,285246220,388482510,630448736,528156768,176528757,931414016,307551907,99316255,266686125,313456830,793419672,266440651,533941226,886515287,72275303,306917683,124564538,377120763,430900101,485708981,979664933,657691604,90500814,207190418,967831406,179496476,431639293,461749564,612003348,491543465,143042116,966639695,794974882,867504308,535412914,997445736,485066855,255377770,400095408,774358859,603140676,468099733,255363971,473944888,197176342,973530146,172853722,199954001,978998390,830249155,171041494,120249799,579789336,107296359,438775113,865549448,562505285,231622051,714284255,416414838,269725703,813564951,944196270,35646766,968437086,546502886,546422956,875177829,326017648,683369044,63654388,914744887,494446264,832996181,566016927,233133088,444528299,204444062,250989857,118983280,119662544,320619678,613517678,646513731,519700369,622410353,711144761,266942622,520873743,104955789,129013154,554852411,725295921,899119983,32574354,205539784,900472700,608023236,102802351,811913593,867657831,425237762,489011961,34960631,778647993,48441060,113001319,880043047,404956576,873335266,931093557,354633711,908299247,424017231,702019415,682808317,448773159,272677484,998023769,275324422,181769605,135097231,374001181,550506573,281125676,574620620,289257907,733000269,726248148,900258599,216092838,240121451,708935526,506559984,963363142,253694543,777066885,419847752,2652071,627294638,171007737,907616306,519545295,661559856,565333487,898602413,13958534,711190046,173167041,758537373,237579306,670774187,819935884,433063890,915907577,920122143,261554375,289850613,806720049,90279520,669013334,722036381,729756124,575351689,192568727,859312670,128539214,762993428,241916328,486223592,481582130,615943868,351001380,594050060,94773984,693430750,533892524,449685957,334808432,987874779,888479582,370668495,811783463,93478705,69267479,872783381,190302820,667739790,145636316,63906558,548643453,985463619,387166978,330385720,125101087,213821867,651438543,834569065,730846149,932085945,929269685,661825104,861763088,296522335,150480786,559100677,710561705,773008032,669361091,40518632,676061939,843546521,565118836,825528783,398193933,984187516,589127548,813097488,95508608,153585091,548697798,132398524,269756492,932618409,736498963,626086192,780365242,486370081,871224782,677702319,732835810,715527718,496235293,156585614,612477670,811854968,608070165,127260843,993953090,884552894,13981110,658916984,395298925,418582978,749389445,208198562,484086863,842428799,475951277,104882693,385918757,73796067,166532765,132510202,537121325,673264417,165438708,913594804,326855874,784445863,896610721,667820898,882894177,909420690,49880421,16788138,566527517,404188221,407323260,732317301,743768712,614759288,816320839,315273597,835026277,293575911,206271346,90936162,668736539,302389864,459844314,162515010,862326889,177225784,528516817,823703198,229755259,957042756,517440603,45020469,309685972,571201613,888817946,339605797,268092512,350297303,286439307,892585975,563766413,513505346,872215479,854012212,218379954,157282502,470437082,761379652,276970771,493873962,58666708,781357424,151773969,153870990,348396378,697076565,343494124,39075594,37153310,7473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