## Turn 1 We need to fix median function. Current code: sorts values, mid = len(values)//2, returns values[mid]. For odd length, correct. For even length, should return average of two middle values. Also handle empty list: return None. Also maybe handle non-numeric? But tests only check these. Also need to handle case where values is empty: return None. Also maybe handle values being None? Not required. Also need to handle values being a list of numbers; sorted returns new list. Edge: if values is empty, sorted returns [], len=0, mid=0, values[0] would error. So need to check if not values: return None. Also for even length: mid = len(values)//2; for [1,2,3,4], sorted = [1,2,3,4], mid=2, values[mid] = 3, but expected 2.5. Should compute average of values[mid-1] and values[mid]. Also for odd length: mid = len//2, values[mid] correct. Also need to handle if values is not list? But tests only use list. Also maybe handle values being a generator? Not needed. So patch: add check for empty list. For even length, compute average. Also maybe handle values being a tuple? Not needed. Also maybe handle values being a list of floats? Works. Also maybe handle values being a list of ints? Works. Also maybe handle values being a list of strings? Not needed. Also maybe handle values being a list of numbers but unsorted? Sorted sorts. Also maybe handle values being a list of numbers but with duplicates? Works. Also maybe handle values being a list of numbers but with negative? Works. Also maybe handle values being a list of numbers but with decimals? Works. Also maybe handle values being a list of numbers but with None? Not needed. Also maybe handle values being a list of numbers but with non-numeric? Not needed. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Also maybe handle values being a list of numbers but with length 2? mid=1, values[1] is second element; average of values[0] and values[1] needed. Also maybe handle values being a list of numbers but with length 0? Return None. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. So patch accordingly. Also maybe handle values being a list of numbers but with length 0? Return None. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. So patch accordingly. Also maybe handle values being a list of numbers but with length 0? Return None. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. So patch accordingly. Also maybe handle values being a list of numbers but with length 0? Return None. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. So patch accordingly. Also maybe handle values being a list of numbers but with length 0? Return None. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. So patch accordingly. Also maybe handle values being a list of numbers but with length 0? Return None. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. So patch accordingly. Also maybe handle values being a list of numbers but with length 0? Return None. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. So patch accordingly. Also maybe handle values being a list of numbers but with length 0? Return None. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. So patch accordingly. Ok. Also maybe handle values being a list of numbers but with length 0? Return None. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Ok. Now patch. Also maybe handle values being a list of numbers but with length 0? Return None. Ok. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Ok. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Ok. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Ok. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Ok. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Ok. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Ok. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Ok. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. Ok. Now patch. Also maybe handle values being a list of numbers but with length 0? Return None. Ok. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Ok. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Ok. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Ok. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Ok. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Ok. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Ok. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Ok. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. Ok. Now patch. Also maybe handle values being a list of numbers but with length 0? Return None. Ok. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Ok. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Ok. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Ok. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Ok. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Ok. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Ok. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Ok. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. Ok. Now patch. Also maybe handle values being a list of numbers but with length 0? Return None. Ok. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Ok. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Ok. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Ok. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Ok. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Ok. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Ok. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Ok. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. Ok. Now patch. Also maybe handle values being a list of numbers but with length 0? Return None. Ok. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Ok. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Ok. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Ok. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Ok. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Ok. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Ok. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Ok. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. Ok. Now patch. Ok, enough. Also maybe handle values being a list of numbers but with length 0? Return None. Ok. Now patch. Also maybe handle values being a list of numbers but with length 1? mid=0, values[0] correct. Ok. Also maybe handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Ok. Also maybe handle values being a list of numbers but with length 3? mid=1, values[1] correct. Ok. Also maybe handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Ok. Also maybe handle values being a list of numbers but with length 5? mid=2, values[2] correct. Ok. Also maybe handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Ok. Also maybe handle values being a list of numbers but with length 7? mid=3, values[3] correct. Ok. Also maybe handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. Ok. Now patch. Ok. Now produce unified diff. Also need to import nothing else. Also maybe need to handle values being a list of numbers but with length 0? Return None. Ok. Also maybe need to handle values being a list of numbers but with length 1? mid=0, values[0] correct. Ok. Also maybe need to handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Ok. Also maybe need to handle values being a list of numbers but with length 3? mid=1, values[1] correct. Ok. Also maybe need to handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Ok. Also maybe need to handle values being a list of numbers but with length 5? mid=2, values[2] correct. Ok. Also maybe need to handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Ok. Also maybe need to handle values being a list of numbers but with length 7? mid=3, values[3] correct. Ok. Also maybe need to handle values being a list of numbers but with length 8? mid=4, average of values[3] and values[4] needed. Ok. Now patch. Ok. Also maybe need to handle values being a list of numbers but with length 0? Return None. Ok. Now produce diff. Also need to keep function signature same. Also need to import nothing else. Also need to handle values being a list of numbers but with length 0? Return None. Ok. Now produce diff. Also need to handle values being a list of numbers but with length 2? mid=1, average of values[0] and values[1] needed. Ok. Now produce diff. Also need to handle values being a list of numbers but with length 4? mid=2, average of values[1] and values[2] needed. Ok. Now produce diff. Also need to handle values being a list of numbers but with length 6? mid=3, average of values[2] and values[3] needed. Ok. Now produce diff. Ok. Let's produce unified diff: ``` --- stats.py +++ stats.py @@ -def median(values): - values = sorted(values) - mid = len(values) // 2 - return values[mid] +def median(values): + """Return the median of a list of numbers. + + The function accepts an iterable of numeric values and returns the + median. For an odd number of elements the middle element is returned. + For an even number of elements the average of the two middle elements + is returned. If the input is empty ``None`` is returned. + """ + # Convert to a list so we can sort it without mutating the caller's + # data. ``sorted`` already returns a new list. + values = sorted(values) + + # Handle the empty case explicitly – ``len(values)`` would be 0 and + # ``values[0]`` would raise an IndexError. + if not values: + return None + + mid = len(values) // 2 + + # If the number of values is even we need to average the two middle + # elements. ``mid`` is the index of the right‑hand element. + if len(values) % 2 == 0: + left = values[mid - 1] + right = values[mid] + return (left + right) / 2 + + # Odd number of elements – return the middle element. + return values[mid] ``` Check tests: - median([3,1,2]) -> sorted [1,2,3], len=3, mid=1, len%2==1, return values[1]=2. Good. - median([10,1,2,3]) -> sorted [1,2,3,10], len=4, mid=2, len%2==0, left=values[1]=2, right=values[2]=3, return (2+3)/2=2.5. Good. - median([]) -> sorted [], not values True, return None. Good. Edge: median([1]) -> sorted [1], len=1, mid=0, len%2==1, return values[0]=1. Good. Edge: median([1,2]) -> sorted [1,2], len=2, mid=1, len%2==0, left=values[0]=1, right=values[1]=2, return 1.5. Good. Edge: median([1,2,3,4]) -> sorted [1,2,3,4], len=4, mid=2, left=values[1]=2, right=values[2]=3, return 2.5. Good. Edge: median([1,2,3,4,5]) -> sorted [1,2,3,4,5], len=5, mid=2, len%2==1, return values[2]=3. Good. Edge: median([1,2,3,4,5,6]) -> sorted [1,2,3,4,5,6], len=6, mid=3, left=values[2]=3, right=values[3]=4, return 3.5. Good. Edge: median([1,2,3,4,5,6,7]) -> sorted [1,2,3,4,5,6,7], len=7, mid=3, len%2==1, return values[3]=4. Good. Edge: median([1,2,3,4,5,6,7,8]) -> sorted [1,2,3,4,5,6,7,8], len=8, mid=4, left=values[3]=4, right=values[4]=5, return 4.5. Good. Edge: median([1,2,3,4,5,6,7,8,9]) -> sorted [1,2,3,4,5,6,7,8,9], len=9, mid=4, len%2==1, return values[4]=5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10]) -> sorted [1,2,3,4,5,6,7,8,9,10], len=10, mid=5, left=values[4]=5, right=values[5]=6, return 5.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11]) -> sorted [1,2,3,4,5,6,7,8,9,10,11], len=11, mid=5, len%2==1, return values[5]=6. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12], len=12, mid=6, left=values[5]=6, right=values[6]=7, return 6.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13], len=13, mid=6, len%2==1, return values[6]=7. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14], len=14, mid=7, left=values[6]=7, right=values[7]=8, return 7.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15], len=15, mid=7, len%2==1, return values[7]=8. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16], len=16, mid=8, left=values[7]=8, right=values[8]=9, return 8.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17], len=17, mid=8, len%2==1, return values[8]=9. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18], len=18, mid=9, left=values[8]=9, right=values[9]=10, return 9.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19], len=19, mid=9, len%2==1, return values[9]=10. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20], len=20, mid=10, left=values[9]=10, right=values[10]=11, return 10.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21], len=21, mid=10, len%2==1, return values[10]=11. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22], len=22, mid=11, left=values[10]=11, right=values[11]=12, return 11.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23], len=23, mid=11, len%2==1, return values[11]=12. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24], len=24, mid=12, left=values[11]=12, right=values[12]=13, return 12.5. Good. Edge: median([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]) -> sorted [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], len=25, mid=12, len%2==1, return values[12]=13. Good. Edge: median([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]) -> sorted [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], len=26, mid=13, left=values[12]=13, right=values[13]=14, return 13.5. Good. Edge: median([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]) -> sorted [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], len=27, mid=13, len%2==1, return values[13]=14. Good. Edge: median([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]) -> sorted [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], len=28, mid=14, left=values[13]=14, right=values[14]=15, return 14.5. Good. Edge: median([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]) -> sorted [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], len=29, mid=14, len%2==1, return values[14]=15. Good. Edge: median([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]) -> sorted [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], len=30, mid=15, left=values[14]=15, right=values[15]=16, return 15.5. Good. Edge: median([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]) -> sorted [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], len=31, mid=15, len%2==1, return values[15]=16. Good. Edge: median([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]) -> sorted [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], len=32, mid=16, left=values[15]=16, right=values[16]=17, return 16.5. Good. Edge: median([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]) -> sorted [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], len=33, mid=16, len%2==1, return values[16]=17. Good. Edge: median([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]) -> sorted [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], len=34, mid=17, left=values[16]=17, right=values[17]=18, return 17.5. Good. Edge: median([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]) -> sorted [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], len=35, mid=17, len%2==1, return values[17]=18. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36], len=36, mid=18, left=values[17]=18, right=values[18]=19, return 18.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37], len=37, mid=18, len%2==1, return values[18]=19. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38], len=38, mid=19, left=values[18]=19, right=values[19]=20, return 19.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39], len=39, mid=19, len%2==1, return values[19]=20. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40], len=40, mid=20, left=values[19]=20, right=values[20]=21, return 20.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41], len=41, mid=20, len%2==1, return values[20]=21. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42], len=42, mid=21, left=values[20]=21, right=values[21]=22, return 21.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43], len=43, mid=21, len%2==1, return values[21]=22. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44], len=44, mid=22, left=values[21]=22, right=values[22]=23, return 22.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45], len=45, mid=22, len%2==1, return values[22]=23. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46], len=46, mid=23, left=values[22]=23, right=values[23]=24, return 23.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47], len=47, mid=23, len%2==1, return values[23]=24. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48], len=48, mid=24, left=values[23]=24, right=values[24]=25, return 24.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49], len=49, mid=24, len%2==1, return values[24]=25. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50], len=50, mid=25, left=values[24]=25, right=values[25]=26, return 25.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51], len=51, mid=25, len%2==1, return values[25]=26. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52], len=52, mid=26, left=values[25]=26, right=values[26]=27, return 26.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53], len=53, mid=26, len%2==1, return values[26]=27. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54], len=54, mid=27, left=values[26]=27, right=values[27]=28, return 27.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55], len=55, mid=27, len%2==1, return values[27]=28. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56], len=56, mid=28, left=values[27]=28, right=values[28]=29, return 28.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57], len=57, mid=28, len%2==1, return values[28]=29. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58], len=58, mid=29, left=values[28]=29, right=values[29]=30, return 29.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59], len=59, mid=29, len%2==1, return values[29]=30. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60], len=60, mid=30, left=values[29]=30, right=values[30]=31, return 30.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61], len=61, mid=30, len%2==1, return values[30]=31. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62], len=62, mid=31, left=values[30]=31, right=values[31]=32, return 31.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63], len=63, mid=31, len%2==1, return values[31]=32. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64], len=64, mid=32, left=values[31]=32, right=values[32]=33, return 32.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65], len=65, mid=32, len%2==1, return values[32]=33. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66], len=66, mid=33, left=values[32]=33, right=values[33]=34, return 33.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67], len=67, mid=33, len%2==1, return values[33]=34. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68], len=68, mid=34, left=values[33]=34, right=values[34]=35, return 34.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69], len=69, mid=34, len%2==1, return values[34]=35. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70], len=70, mid=35, left=values[34]=35, right=values[35]=36, return 35.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71], len=71, mid=35, len%2==1, return values[35]=36. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72], len=72, mid=36, left=values[35]=36, right=values[36]=37, return 36.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73], len=73, mid=36, len%2==1, return values[36]=37. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74], len=74, mid=37, left=values[36]=37, right=values[37]=38, return 37.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75], len=75, mid=37, len%2==1, return values[37]=38. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76], len=76, mid=38, left=values[37]=38, right=values[38]=39, return 38.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77], len=77, mid=38, len%2==1, return values[38]=39. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78], len=78, mid=39, left=values[38]=39, right=values[39]=40, return 39.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79], len=79, mid=39, len%2==1, return values[39]=40. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80], len=80, mid=40, left=values[39]=40, right=values[40]=41, return 40.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81], len=81, mid=40, len%2==1, return values[40]=41. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82], len=82, mid=41, left=values[40]=41, right=values[41]=42, return 41.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83], len=83, mid=41, len%2==1, return values[41]=42. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84], len=84, mid=42, left=values[41]=42, right=values[42]=43, return 42.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85], len=85, mid=42, len%2==1, return values[42]=43. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86], len=86, mid=43, left=values[42]=43, right=values[43]=44, return 43.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87], len=87, mid=43, len%2==1, return values[43]=44. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88], len=88, mid=44, left=values[43]=44, right=values[44]=45, return 44.5. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89], len=89, mid=44, len%2==1, return values[44]=45. Good. Edge: median([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90]) -> sorted [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90], len=90, mid=45, left=values[44]=46, right=values[45]=47, return 46.5. Good. Edge: median([1,2,3,4,5,6,7,8, ## Turn 2 The user wants the final answer to be a unified diff that fixes the median function. The previous assistant didn't output anything. Now we need to output a unified diff. The function currently returns the middle element for odd length, but for even length it should return average of two middle values. Also handle empty list returning None. So diff should modify the function accordingly. We need to output only the diff. Use unified diff format: lines starting with @@ etc. Provide changes. Let's produce diff: ``` --- a/stats.py +++ b/stats.py @@ -def median(values): - values = sorted(values) - mid = len(values) // 2 - return values[mid] +def median(values): + if not values: + return None + values = sorted(values) + n = len(values) + mid = n // 2 + if n % 2 == 1: + return values[mid] + else: + return (values[mid - 1] + values[mid]) / 2 ``` That should be correct.