def test_binary_search_7():
nums = [
-998,
-997,
-995,
-994,
-991,
-986,
-984,
-982,
-981,
-980,
-978,
-975,
-973,
-972,
-970,
-968,
-967,
-966,
-962,
-961,
-960,
-959,
-958,
-954,
-953,
-952,
-950,
-947,
-946,
-945,
-944,
-943,
-942,
-941,
-939,
-937,
-936,
-934,
-931,
-929,
-928,
-925,
-924,
-923,
-922,
-921,
-918,
-917,
-916,
-914,
-912,
-910,
-909,
-908,
-905,
-900,
-897,
-896,
-895,
-894,
-893,
-892,
-891,
-886,
-882,
-881,
-880,
-879,
-878,
-876,
-873,
-872,
-871,
-870,
-864,
-863,
-860,
-859,
-857,
-856,
-853,
-852,
-851,
-846,
-844,
-843,
-841,
-840,
-835,
-831,
-829,
-825,
-822,
-820,
-819,
-817,
-815,
-814,
-812,
-810,
-808,
-807,
-804,
-801,
-800,
-798,
-797,
-794,
-793,
-792,
-790,
-787,
-786,
-785,
-782,
-781,
-778,
-777,
-776,
-773,
-772,
-770,
-767,
-766,
-763,
-762,
-759,
-757,
-751,
-750,
-748,
-744,
-743,
-741,
-740,
-738,
-737,
-736,
-733,
-729,
-727,
-726,
-725,
-724,
-723,
-720,
-718,
-716,
-715,
-714,
-710,
-709,
-703,
-702,
-701,
-699,
-698,
-695,
-694,
-693,
-690,
-688,
-686,
-685,
-682,
-681,
-680,
-678,
-674,
-673,
-672,
-670,
-668,
-667,
-666,
-661,
-657,
-656,
-655,
-653,
-651,
-650,
-646,
-645,
-644,
-643,
-642,
-636,
-635,
-634,
-633,
-632,
-631,
-630,
-629,
-627,
-626,
-625,
-624,
-623,
-622,
-621,
-618,
-617,
-616,
-615,
-614,
-608,
-606,
-605,
-603,
-602,
-597,
-596,
-595,
-594,
-590,
-589,
-581,
-576,
-574,
-572,
-568,
-566,
-565,
-562,
-557,
-555,
-554,
-552,
-551,
-549,
-547,
-545,
-544,
-543,
-537,
-536,
-533,
-532,
-530,
-529,
-526,
-524,
-517,
-516,
-515,
-514,
-513,
-511,
-509,
-508,
-502,
-500,
-498,
-497,
-493,
-492,
-491,
-490,
-487,
-486,
-485,
-483,
-479,
-477,
-476,
-474,
-472,
-471,
-469,
-468,
-465,
-464,
-463,
-458,
-457,
-455,
-453,
-449,
-444,
-443,
-442,
-437,
-433,
-430,
-429,
-427,
-426,
-421,
-419,
-416,
-415,
-414,
-413,
-411,
-409,
-408,
-406,
-405,
-404,
-403,
-402,
-400,
-398,
-397,
-393,
-392,
-389,
-388,
-387,
-379,
-376,
-372,
-370,
-369,
-367,
-366,
-364,
-363,
-361,
-360,
-359,
-358,
-357,
-356,
-351,
-349,
-348,
-343,
-339,
-338,
-334,
-332,
-330,
-326,
-323,
-322,
-321,
-318,
-315,
-314,
-313,
-305,
-304,
-303,
-302,
-296,
-295,
-294,
-293,
-292,
-291,
-290,
-289,
-287,
-286,
-284,
-282,
-281,
-279,
-276,
-274,
-273,
-272,
-270,
-268,
-267,
-266,
-265,
-264,
-263,
-261,
-258,
-257,
-256,
-255,
-253,
-252,
-249,
-245,
-244,
-241,
-240,
-239,
-238,
-237,
-236,
-235,
-234,
-233,
-231,
-230,
-228,
-224,
-222,
-221,
-220,
-219,
-218,
-217,
-215,
-212,
-210,
-209,
-206,
-204,
-202,
-201,
-200,
-199,
-190,
-184,
-181,
-178,
-175,
-174,
-173,
-171,
-164,
-163,
-162,
-159,
-158,
-157,
-156,
-150,
-147,
-145,
-144,
-141,
-140,
-138,
-137,
-136,
-133,
-131,
-130,
-128,
-127,
-125,
-124,
-122,
-119,
-118,
-117,
-116,
-114,
-113,
-112,
-111,
-110,
-107,
-106,
-103,
-102,
-99,
-98,
-94,
-91,
-88,
-86,
-85,
-84,
-80,
-79,
-78,
-77,
-76,
-71,
-70,
-69,
-67,
-63,
-62,
-61,
-59,
-58,
-57,
-56,
-53,
-49,
-48,
-44,
-43,
-40,
-35,
-34,
-32,
-31,
-30,
-25,
-21,
-19,
-17,
-15,
-11,
-10,
-9,
-8,
-5,
-2,
8,
9,
10,
12,
13,
15,
19,
22,
23,
25,
27,
28,
29,
30,
34,
35,
38,
42,
43,
44,
45,
49,
52,
53,
54,
55,
56,
58,
59,
61,
62,
63,
68,
73,
74,
76,
77,
78,
84,
85,
86,
87,
88,
90,
91,
92,
94,
95,
97,
101,
104,
105,
106,
113,
114,
116,
118,
119,
122,
124,
125,
127,
129,
132,
138,
140,
143,
145,
146,
147,
151,
153,
158,
159,
160,
161,
162,
163,
164,
167,
168,
169,
172,
176,
179,
182,
184,
185,
186,
188,
189,
192,
193,
196,
197,
198,
201,
202,
204,
207,
210,
219,
220,
221,
222,
225,
232,
234,
235,
236,
237,
240,
241,
243,
244,
245,
246,
247,
248,
250,
254,
256,
257,
258,
259,
260,
261,
262,
263,
265,
268,
270,
274,
275,
276,
277,
278,
282,
286,
287,
292,
293,
295,
296,
298,
302,
303,
304,
305,
306,
307,
308,
312,
314,
315,
316,
317,
319,
320,
324,
325,
326,
328,
330,
331,
332,
333,
334,
335,
337,
338,
339,
341,
342,
343,
344,
345,
350,
351,
353,
355,
357,
360,
362,
365,
367,
369,
370,
371,
373,
375,
376,
378,
379,
380,
383,
384,
385,
389,
390,
391,
397,
399,
400,
401,
405,
407,
410,
412,
414,
416,
418,
420,
421,
422,
427,
428,
431,
433,
435,
436,
438,
439,
444,
445,
446,
448,
449,
452,
453,
455,
456,
459,
461,
462,
463,
464,
465,
466,
469,
473,
474,
476,
477,
478,
479,
481,
484,
486,
490,
491,
494,
497,
498,
500,
501,
502,
503,
512,
513,
519,
520,
522,
523,
525,
526,
528,
529,
530,
532,
536,
539,
540,
542,
544,
546,
550,
554,
559,
562,
568,
569,
570,
572,
573,
574,
575,
576,
579,
583,
587,
590,
592,
593,
595,
596,
598,
601,
604,
606,
607,
608,
613,
614,
615,
618,
619,
622,
624,
626,
628,
632,
633,
634,
635,
639,
641,
642,
644,
648,
649,
656,
657,
659,
660,
661,
664,
665,
666,
667,
670,
673,
674,
676,
678,
682,
685,
689,
692,
697,
698,
700,
701,
702,
704,
707,
711,
714,
716,
717,
718,
722,
723,
725,
726,
728,
729,
732,
733,
734,
735,
739,
745,
747,
754,
755,
756,
757,
758,
759,
760,
761,
762,
763,
764,
766,
767,
769,
774,
775,
778,
780,
782,
783,
786,
787,
790,
791,
792,
793,
795,
796,
797,
798,
799,
800,
804,
806,
807,
808,
809,
813,
814,
817,
819,
822,
823,
824,
826,
830,
831,
832,
833,
836,
838,
840,
841,
844,
845,
846,
849,
852,
854,
859,
860,
862,
864,
865,
866,
868,
870,
871,
872,
873,
876,
877,
884,
890,
891,
892,
894,
896,
898,
899,
900,
901,
903,
910,
911,
912,
916,
917,
919,
920,
924,
925,
926,
930,
934,
935,
939,
940,
941,
942,
943,
945,
947,
948,
952,
953,
954,
955,
956,
957,
958,
960,
961,
965,
967,
969,
970,
971,
972,
975,
977,
978,
979,
980,
981,
982,
986,
987,
988,
990,
992,
994,
995,
997,
]
target = 988
expected = 994
actual = search(nums, target)
assert actual == expected
def test_binary_search_6():
nums = [-1, 0, 5]
target = 5
expected = 2
actual = search(nums, target)
assert actual == expected
def test_binary_search_1():
nums = [-1, 0, 3, 5, 9, 12]
target = 9
expected = 4
actual = search(nums, target)
assert actual == expected
def test_binary_search_5():
nums = [2]
target = 1
expected = -1
actual = search(nums, target)
assert actual == expected
def test_binary_search_4():
nums = [1]
target = 1
expected = 0
actual = search(nums, target)
assert actual == expected