Expression 10: "V" Subscript, "c" "o" "n" "t" "a" "i" "n" "C" "o" "u" "n" "t" , Baseline equals Start sum from "n" equals 1 to StartFraction, length left parenthesis, "D" Subscript, "p" "a" "i" "r" "s" , Baseline , right parenthesis Over 2 , EndFraction , end sum, "f" Subscript, "e" "i" "t" "h" "e" "r" "C" "o" "n" "t" "a" "i" "n" "s" , Baseline left parenthesis, "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "n" minus 1 , right bracket , "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "n" , right bracket , right parenthesisVcontainCount=lengthDpairs2∑n=1feitherContainsDpairs2n−1,Dpairs2n
equals=
496496
10
Expression 11: "f" Subscript, "i" "s" "L" "e" "f" "t" "O" "f" , Baseline left parenthesis, "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , right parenthesis equals left brace, "R" Subscript, 1 , Baseline . "y" less than "R" Subscript, 2 , Baseline . "x" : 1 , 0 , right bracefisLeftOfR1,R2=R1.y<R2.x:1,0
11
Expression 12: "f" Subscript, "a" "r" "e" "O" "v" "e" "r" "l" "a" "p" "i" "n" "g" , Baseline left parenthesis, "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , right parenthesis equals left brace, "f" Subscript, "i" "s" "L" "e" "f" "t" "O" "f" , Baseline left parenthesis, "R" Subscript, 1 , Baseline , "R" Subscript, 2 , Baseline , right parenthesis equals 0 : left brace, "f" Subscript, "i" "s" "L" "e" "f" "t" "O" "f" , Baseline left parenthesis, "R" Subscript, 2 , Baseline , "R" Subscript, 1 , Baseline , right parenthesis equals 0 : 1 , 0 , right brace , 0 , right bracefareOverlapingR1,R2=fisLeftOfR1,R2=0:fisLeftOfR2,R1=0:1,0,0
12
Expression 13: "V" Subscript, "o" "v" "e" "r" "l" "a" "p" "C" "o" "u" "n" "t" , Baseline equals Start sum from "n" equals 1 to StartFraction, length left parenthesis, "D" Subscript, "p" "a" "i" "r" "s" , Baseline , right parenthesis Over 2 , EndFraction , end sum, "f" Subscript, "a" "r" "e" "O" "v" "e" "r" "l" "a" "p" "i" "n" "g" , Baseline left parenthesis, "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "n" minus 1 , right bracket , "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "n" , right bracket , right parenthesisVoverlapCount=lengthDpairs2∑n=1fareOverlapingDpairs2n−1,Dpairs2n
equals=
847847
13
Expression 14: left bracket, "f" Subscript, "r" "e" "c" "t" , Baseline left parenthesis, min left parenthesis, "D" Subscript, "i" "n" "p" "u" "t" , Baseline , right parenthesis minus 1 , negative 2 "k" Subscript, 1 , Baseline plus 3 eighths , max left parenthesis, "D" Subscript, "i" "n" "p" "u" "t" , Baseline , right parenthesis plus 1 , negative 2 plus 1 eighth , right parenthesis for "k" Subscript, 1 , Baseline equals left bracket, 1... StartFraction, length left parenthesis, "D" Subscript, "p" "a" "i" "r" "s" , Baseline , right parenthesis Over 2 , EndFraction , right bracket , right bracketfrectminDinput−1,−2k1+38,maxDinput+1,−2+18fork1=1...lengthDpairs2
14
Expression 15: left bracket, "f" Subscript, "r" "e" "c" "t" , Baseline left parenthesis, "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "k" Subscript, 1 , Baseline minus 1 , right bracket . "x" , negative 2 "k" Subscript, 1 , Baseline minus 1 quarter , "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "k" Subscript, 1 , Baseline minus 1 , right bracket . "y" minus "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "k" Subscript, 1 , Baseline minus 1 , right bracket . "x" plus 1 , negative 1 , right parenthesis for "k" Subscript, 1 , Baseline equals left bracket, 1... StartFraction, length left parenthesis, "D" Subscript, "p" "a" "i" "r" "s" , Baseline , right parenthesis Over 2 , EndFraction , right bracket , right bracketfrectDpairs2k1−1.x,−2k1−14,Dpairs2k1−1.y−Dpairs2k1−1.x+1,−1fork1=1...lengthDpairs2
15
Expression 16: left bracket, "f" Subscript, "r" "e" "c" "t" , Baseline left parenthesis, "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "k" Subscript, 1 , Baseline , right bracket . "x" , negative 2 "k" Subscript, 1 , Baseline plus 1 quarter , "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "k" Subscript, 1 , Baseline , right bracket . "y" minus "D" Subscript, "p" "a" "i" "r" "s" , Baseline left bracket, 2 "k" Subscript, 1 , Baseline , right bracket . "x" plus 1 , negative 1 , right parenthesis for "k" Subscript, 1 , Baseline equals left bracket, 1... StartFraction, length left parenthesis, "D" Subscript, "p" "a" "i" "r" "s" , Baseline , right parenthesis Over 2 , EndFraction , right bracket , right bracketfrectDpairs2k1.x,−2k1+14,Dpairs2k1.y−Dpairs2k1.x+1,−1fork1=1...lengthDpairs2
