diff --git a/t-dot-t-t-number-2-equal-to-24/prepare_data.js b/t-dot-t-t-number-2-equal-to-24/prepare_data.js new file mode 100644 index 0000000..0860575 --- /dev/null +++ b/t-dot-t-t-number-2-equal-to-24/prepare_data.js @@ -0,0 +1,55 @@ + +function equalTo24(a,b,c,d) { + // const ops = [ + // (a, b) => a + b, + // (a, b) => a - b, + // (a, b) => a * b, + // (a, b) => a / b + // ]; + const ops = [ + (a, b) => `(${a}+${b})`, + (a, b) => `(${a}-${b})`, + (a, b) => `(${a}*${b})`, + (a, b) => `(${a}/${b})`, + ]; + const opsLen = ops.length; + const arr = [a, b, c, d]; + let res = []; + for (let i = 0; i < 3; ++i) { + for (let iop = 0; iop < opsLen; ++iop) { + for (let j = 0; j < 2; ++j) { + for (let jop = 0; jop < opsLen; ++jop) { + for (let kop = 0; kop < opsLen; ++kop) { + let n = [...arr.slice(0, i), ops[iop](arr[i], arr[i+1]), ...arr.slice(i+2)]; + n = [...n.slice(0, j), ops[jop](n[j], n[j+1]), ...n.slice(j+2)]; + const resStr = ops[kop](n[0], n[1]); + if (eval(resStr) === 24) { + res.push(resStr); + } + } + } + } + } + } + return res; +} + +let res = []; + +for (let i = 1; i <= 13; ++i) { + for (let j = 1; j <= 13; ++j) { + for (let k = 1; k <= 13; ++k) { + for (let l = 1; l <= 13; ++l) { + let arr = [i, j, k, l]; + arr.sort((a, b) => a - b); + let codes = equalTo24(i, j, k, l); + if (codes.length) { + if (!res[arr[0]]) res[arr[0]] = []; + if (!res[arr[0]][arr[1]]) res[arr[0]][arr[1]] = []; + if (!res[arr[0]][arr[1]][arr[2]]) res[arr[0]][arr[1]][arr[2]] = []; + if (!res[arr[0]][arr[1]][arr[2]][arr[3]]) res[arr[0]][arr[1]][arr[2]][arr[3]] = codes[0]; + } + } + } + } +} diff --git a/t-dot-t-t-number-2-equal-to-24/t-dot-t-t-number-2-equal-to-24.js b/t-dot-t-t-number-2-equal-to-24/t-dot-t-t-number-2-equal-to-24.js new file mode 100644 index 0000000..be90fde --- /dev/null +++ b/t-dot-t-t-number-2-equal-to-24/t-dot-t-t-number-2-equal-to-24.js @@ -0,0 +1,21 @@ +function equalTo24(a,b,c,d) { + const resMap = [null,[null,[null,[null,null,null,null,null,null,null,null,"(((1+1)+1)*8)",null,null,"((1+1)*(1+11))","(((1+1)*1)*12)","((1+1)*(13-1))"],[null,null,null,null,null,null,"(((1+1)+2)*6)","((1+2)*(1+7))","(((1*1)+2)*8)","((1+2)*(9-1))","((1+1)*(2+10))","((1+1)+(2*11))","(((1-1)+2)*12)","(((1+1)*13)-2)"],[null,null,null,null,"(((1+1)*3)*4)","((1+3)*(1+5))","(((1*1)+3)*6)","(((1*1)+7)*3)","(((1-1)+3)*8)","((1+1)*(3+9))","(3*((10-1)-1))","((1+11)*(3-1))","(((1*3)-1)*12)","((1-3)*(1-13))"],[null,null,null,null,"(((1+1)+4)*4)","(((1*1)+5)*4)","(((1-1)+4)*6)","((1*4)*(7-1))","((1+1)*(4+8))","((1-4)*(1-9))","(((1+1)*10)+4)",null,"(((4-1)-1)*12)"],[null,null,null,null,null,"((1+5)*(5-1))","(((1*5)-1)*6)","((1+1)*(5+7))","(((5-1)-1)*8)"],[null,null,null,null,null,null,"((1+1)*(6+6))",null,"((6/(1+1))*8)","(((1+1)*9)+6)",null,null,"(((1+1)*6)+12)"],[null,null,null,null,null,null,null,null,null,null,"(((1+1)*7)+10)"],[null,null,null,null,null,null,null,null,"(((1+1)*8)+8)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((1+1)+9)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1+1)+10)+12)","(((1*1)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"(((1+1)+11)+11)","(((1*1)+11)+12)","(((1-1)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1-1)+12)+12)","(((1*12)-1)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((13-1)-1)+13)"]],[null,null,[null,null,null,null,"(((1+2)*2)*4)","(((1+5)*2)*2)","((1+2)*(2+6))","((2+2)*(7-1))","(((2-1)+2)*8)","(((1+2)+9)*2)","((1*2)*(2+10))","((1*2)+(2*11))","((1+(2/2))*12)","(((1-2)+13)*2)"],[null,null,null,"(((1+3)*2)*3)","(((1+2)+3)*4)","((1+2)*(3+5))","(((1*2)+6)*3)","((1+2)+(3*7))","(((1+3)+8)*2)","((1*2)*(3+9))","((1+(2*10))+3)","((1+2)*(11-3))","(((1-2)+3)*12)","((1+(2*13))-3)"],[null,null,null,null,"((1+2)*(4+4))","(((2-1)+5)*4)","(((2-1)*4)*6)","(((1-2)+7)*4)","(((1-2)+4)*8)","(((1+9)*2)+4)","(((1*2)*10)+4)","(((1+11)/2)*4)","(((1+2)*4)+12)","(((1+13)*2)-4)"],[null,null,null,null,null,"((1-2)+(5*5))","(((1-2)+5)*6)","((1*2)*(5+7))","(((1+5)/2)*8)","(((1+2)*5)+9)","(((2*10)-1)+5)",null,"(((1+5)*2)+12)","((1+(2*5))+13)"],[null,null,null,null,null,null,"(((1+2)*6)+6)","(((1+7)/2)*6)","(((1/2)*6)*8)","(((1*2)*9)+6)","(((1+2)*10)-6)","((1+(2*6))+11)","(((1*2)*6)+12)","(((2*6)-1)+13)"],[null,null,null,null,null,null,null,"(((7*7)-1)/2)","((1+(2*8))+7)","((1+(2*7))+9)","(((1*2)*7)+10)","(((2*7)-1)+11)","((2*(7-1))+12)"],[null,null,null,null,null,null,null,null,"(((1*2)*8)+8)","(((2*8)-1)+9)","((2*(8-1))+10)",null,null,"(((1+2)+8)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"(((1+2)*11)-9)","(((1+2)+9)+12)","(((1*2)+9)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"(((1+2)+10)+11)","(((1*2)+10)+12)","(((2-1)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"(((1*2)+11)+11)","(((2-1)+11)+12)","(((2-1)*11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1+2)*12)-12)","(((1-2)+12)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((1*13)-2)+13)"]],[null,null,null,[null,null,null,"((1+3)*(3+3))","(((1*3)+3)*4)","((1*3)*(3+5))","(((1+6)*3)+3)","((1*3)+(3*7))","(((1+8)*3)-3)","((1+3)*(9-3))","(((1-3)+10)*3)","((1*3)*(11-3))","(((1+3)*3)+12)"],[null,null,null,null,"((1*3)*(4+4))","((1+3)+(4*5))","(6/(1-(3/4)))","(((1+3)*7)-4)","(((1+3)*4)+8)","((1+(3*9))-4)","((1+3)*(10-4))","((1+(3*4))+11)","(((1-3)+4)*12)","(((3*4)-1)+13)"],[null,null,null,null,null,null,"((1+(3*6))+5)","((1+5)*(7-3))","(((1-3)+5)*8)","(((1*3)*5)+9)","(((3*5)-1)+10)","((1+3)*(11-5))","(((1+5)/3)*12)","((1*3)*(13-5))"],[null,null,null,null,null,null,"(((1-3)+6)*6)","((1*6)*(7-3))","(((1*6)-3)*8)","(((1+9)*3)-6)","(((1*3)*10)-6)","(((1+11)/3)*6)","(((1/3)*6)*12)","(((1-6)+13)*3)"],[null,null,null,null,null,null,null,"((1-7)*(3-7))","(3/(1-(7/8)))","(((1+7)/3)*9)","((1+(3*10))-7)",null,"(((7-1)/3)*12)","(((1+3)+7)+13)"],[null,null,null,null,null,null,null,null,"(((1+3)*8)-8)","(((1/3)*8)*9)","((8/3)*(10-1))","(((3*11)-1)-8)","(((1+3)+8)+12)","(((1*3)+8)+13)"],[null,null,null,null,null,null,null,null,null,"(((9-1)/3)*9)","(((1+10)*3)-9)","(((1+3)+9)+11)","(((1+3)*9)-12)","(((3-1)+9)+13)"],[null,null,null,null,null,null,null,null,null,null,"(((1+3)+10)+10)","(((1*3)+10)+11)","(((3-1)+10)+12)"],[null,null,null,null,null,null,null,null,null,null,null,"(((3-1)+11)+11)","(((1+11)*3)-12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1*3)*12)-12)","((1+(3*12))-13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((1-3)+13)+13)"]],[null,null,null,null,[null,null,null,null,"(((1+4)*4)+4)","((1*4)+(4*5))","(((1+6)*4)-4)","((1+(4*4))+7)","(((1*4)*4)+8)","(((1-4)+9)*4)","((1*4)*(10-4))","(4*((11-1)-4))","((1-4)*(4-12))"],[null,null,null,null,null,"(4-((1-5)*5))","(6/((5/4)-1))","((1+(4*7))-5)","((1+5)*(8-4))","(((4-1)*5)+9)","((1-5)*(4-10))","((1*4)*(11-5))","(((1-4)+5)*12)","((1-4)*(5-13))"],[null,null,null,null,null,null,"(((1+4)*6)-6)","(((1-4)+7)*6)","(((1-4)+6)*8)","(6*((9-1)-4))","(((4-1)*10)-6)","(((1-6)+11)*4)","((1*4)*(12-6))","(((1+4)+6)+13)"],[null,null,null,null,null,null,null,"((1+7)*(7-4))","(((1+7)*4)-8)","((1-9)*(4-7))",null,"(((1+4)*7)-11)","(((1+4)+7)+12)","(((1*4)+7)+13)"],[null,null,null,null,null,null,null,null,"(((1*4)*8)-8)","((1+(4*8))-9)",null,"(((1+4)+8)+11)","(((1*4)+8)+12)","(((1-8)+13)*4)"],[null,null,null,null,null,null,null,null,null,null,"(((1+4)+9)+10)","(((1*4)+9)+11)","(((1*4)*9)-12)","((1+(4*9))-13)"],[null,null,null,null,null,null,null,null,null,null,"(((1*4)+10)+10)","(((4-1)+10)+11)","((4*(10-1))-12)"],null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((4-1)*12)-12)"]],[null,null,null,null,null,[null,null,null,null,null,"((5-(1/5))*5)","(((1+5)*5)-6)",null,null,"((1+5)*(9-5))","((5*(10-5))-1)","((1-5)*(5-11))","((1+(5/5))*12)","(((1+5)+5)+13)"],[null,null,null,null,null,null,"(((1*5)*6)-6)","((1+(5*6))-7)","(((1-5)+8)*6)","((1*6)*(9-5))","((1+5)*(10-6))","(((1+6)*5)-11)","(((1+5)+6)+12)","(((1*5)+6)+13)"],[null,null,null,null,null,null,null,null,"(((1-5)+7)*8)","((1-7)*(5-9))","((1+(7/5))*10)","(((1+5)+7)+11)","(((1*5)+7)+12)","((1-5)*(7-13))"],[null,null,null,null,null,null,null,null,"(((1*8)-5)*8)","((1-9)*(5-8))","(((1+5)+8)+10)","(((1*5)+8)+11)","((1+5)*(12-8))","((5*(13-8))-1)"],[null,null,null,null,null,null,null,null,null,"(((1+5)+9)+9)","(((1*5)+9)+10)","(((5-1)+9)+11)","(((1+9)/5)*12)","((1+5)*(13-9))"],[null,null,null,null,null,null,null,null,null,null,"(((5-1)+10)+10)","(((1+11)/5)*10)","(((1/5)*10)*12)","((10/5)*(13-1))"],[null,null,null,null,null,null,null,null,null,null,null,"(((11*11)-1)/5)","(((11-1)/5)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((12/(1+5))*12)"]],[null,null,null,null,null,null,[null,null,null,null,null,null,"(((6-1)*6)-6)",null,"(6/(1-(6/8)))","(((1-6)+9)*6)","((1*6)*(10-6))","(((1+6)+6)+11)","(((1*6)+6)+12)","((1+(6*6))-13)"],[null,null,null,null,null,null,null,null,null,"((1+7)*(9-6))","(((1+6)+7)+10)","(((1*6)+7)+11)","(((1-6)+7)*12)"],[null,null,null,null,null,null,null,null,"(((1-6)+8)*8)","(((1+6)+8)+9)","(((1*6)+8)+10)","(((1-8)+11)*6)","((1*6)*(12-8))","((1-13)*(6-8))"],[null,null,null,null,null,null,null,null,null,"(((1*6)+9)+9)","(((6-1)+9)+10)",null,"(((1-9)+12)*6)","((1*6)*(13-9))"],[null,null,null,null,null,null,null,null,null,null,null,null,"((10/(6-1))*12)","(((1-10)+13)*6)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1+11)/6)*12)","((1+(11*13))/6)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1/6)*12)*12)","((12/6)*(13-1))"]],[null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,"(((1+7)+7)+9)","(((1*7)+7)+10)","((1-7)*(7-11))","((1+(7/7))*12)"],[null,null,null,null,null,null,null,null,"(((1+7)+8)+8)","(((1*7)+8)+9)","((1*8)*(10-7))","((1+7)*(11-8))","(((1-7)+8)*12)"],[null,null,null,null,null,null,null,null,null,"(((7-1)+9)+9)","((1-9)*(7-10))","((1+11)*(9-7))","((1+7)*(12-9))","((1-7)*(9-13))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((10-1)-7)*12)","((1+7)*(13-10))"],null,[null,null,null,null,null,null,null,null,null,null,null,null,"((12/(7-1))*12)","(((1+13)/7)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((13*13)-1)/7)"]],[null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,"(((1*8)+8)+8)","(((8-1)+8)+9)","(((1-8)+10)*8)","((1*8)*(11-8))","((1+(8/8))*12)"],[null,null,null,null,null,null,null,null,null,null,null,"((1-9)*(8-11))","(((1-8)+9)*12)","(8*((13-1)-9))"],[null,null,null,null,null,null,null,null,null,null,null,"((1+11)*(10-8))","(((1*10)-8)*12)","((1*8)*(13-10))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((11-1)-8)*12)","(((1-11)+13)*8)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(12/((12/8)-1))"]],[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((1-9)*(9-12))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1-9)+10)*12)","((1-9)*(10-13))"],[null,null,null,null,null,null,null,null,null,null,null,"((1+11)*(11-9))","(((1*11)-9)*12)","((1-13)*(9-11))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((12-1)-9)*12)"]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((1+(10/10))*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1-10)+11)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1*12)-10)*12)","((1-13)*(10-12))"]],[null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((1+(11/11))*12)","((1+11)*(13-11))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((1-11)+12)*12)","((1*12)*(13-11))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((1+(11/13))*13)"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((1+(12/12))*12)","(((1-12)+13)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((1+(13/13))*12)"]]],[null,null,[null,null,[null,null,null,"(((2+2)*2)*3)","(((2+2)+2)*4)","(2*(2+(2*5)))",null,"(2*((2*7)-2))","(((2/2)+2)*8)","(2+(2*(2+9)))","((2+2)+(2*10))","(2*((2/2)+11))","(((2+2)-2)*12)","(2-(2*(2-13)))"],[null,null,null,"((2+2)*(3+3))","(((2+2)+4)*3)","(((2*5)-2)*3)","(((2/2)+3)*6)","(2*((2+3)+7))","(((2-2)+3)*8)","((2+(2/3))*9)","((2*(3+10))-2)","(2*((3-2)+11))","(((2+2)*3)+12)","(2*((2-3)+13))"],[null,null,null,null,"(2*((2*4)+4))","((2+2)+(4*5))","(((2-2)+4)*6)","(2+(2*(4+7)))","(((2+2)*4)+8)","((2+(2*9))+4)","((2+2)*(10-4))","(2-((2-4)*11))","((2*(2+4))+12)","((2+(2*13))-4)"],[null,null,null,null,null,"(2*((2+5)+5))","(2+(2*(5+6)))","((2*5)+(2*7))","((2*(5+8))-2)","(2*((5-2)+9))","((2*(2+5))+10)","((2+2)*(11-5))","((2+(2*5))+12)"],[null,null,null,null,null,null,"(((2+6)/2)*6)","((2*(2+7))+6)","((2*(2+6))+8)","(2*((2*9)-6))","((2+(2*6))+10)","((2*(11-2))+6)","((2+2)*(12-6))","((2*(2+13))-6)"],[null,null,null,null,null,null,null,"(2*((7-2)+7))","((2+(2*7))+8)",null,"(2*(7+(10/2)))",null,"(((2*7)-2)+12)","(((2+2)+7)+13)"],[null,null,null,null,null,null,null,null,"(((2+2)*8)-8)","(((2*9)-2)+8)","(2*((2*10)-8))",null,"(((2+2)+8)+12)"],[null,null,null,null,null,null,null,null,null,null,"((2*(9-2))+10)","(((2+2)+9)+11)","(((2+2)*9)-12)"],[null,null,null,null,null,null,null,null,null,null,"(((2+2)+10)+10)","(2*((2*11)-10))",null,"(((2/2)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"((2+(2/11))*11)","(((2/2)+11)+12)","(((2-2)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((2-2)+12)+12)","((12-(2/2))+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((2-(2/13))*13)"]],[null,null,null,[null,null,null,"(((2+3)+3)*3)",null,"(2*((3*5)-3))","(((2*3)*3)+6)","((2*3)*(7-3))","(((2*3)-3)*8)","(((2+3)*3)+9)","(3*(3+(10/2)))","(2*((3/3)+11))","(((2+3)-3)*12)","((2+(3*3))+13)"],[null,null,null,null,"(((2+3)*4)+4)","(2*((3+4)+5))","((2+(3*6))+4)","(((2-3)+7)*4)","(((2-3)+4)*8)","(((2/3)*4)*9)","((2*(3+4))+10)","((2*(3+11))-4)","(((2*3)-4)*12)","(2*((3-4)+13))"],[null,null,null,null,null,"((2-3)+(5*5))","(((2-3)+5)*6)","((2+(3*5))+7)","((2*(3+5))+8)","((2*3)*(9-5))","(2*((5-3)+10))","(2-((3-5)*11))","(12/(3-(5/2)))","(((2*3)+5)+13)"],[null,null,null,null,null,null,"(((2+3)*6)-6)","(((2*7)-6)*3)","(((2+8)*3)-6)","(((2+6)/3)*9)","((2*3)*(10-6))","(2+((6/3)*11))","(((2*3)+6)+12)","(((2+3)+6)+13)"],[null,null,null,null,null,null,null,"(((2*7)+3)+7)","(((2+7)/3)*8)","(2*((3*7)-9))","((2+(7*10))/3)","(((2+3)*7)-11)","(((2+3)+7)+12)","(((2*7)-3)+13)"],[null,null,null,null,null,null,null,null,"(((2*8)-8)*3)","((8/2)*(9-3))","(((2*3)+8)+10)","(((2+3)+8)+11)","(2*((3*8)-12))","((2*(3+13))-8)"],[null,null,null,null,null,null,null,null,null,"(((2*3)+9)+9)","(((2+3)+9)+10)",null,"((2*(9-3))+12)","((2*3)*(13-9))"],[null,null,null,null,null,null,null,null,null,null,"((2*(10-3))+10)",null,"(((2+10)*3)-12)","(((3-2)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"((2+(3*11))-11)","(((3-2)+11)+12)","(((3-2)*11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((3-2)*12)+12)","(((2-3)+12)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((3*13)-2)-13)"]],[null,null,null,null,[null,null,null,null,"((2*4)+(4*4))","(((2+5)*4)-4)","(((2*4)-4)*6)","((2*4)*(7-4))","(((2*4)*4)-8)","((4*(9-2))-4)","((2*(4+10))-4)","(2*((4/4)+11))","(((2+4)-4)*12)","(2*(13-(4/4)))"],[null,null,null,null,null,"((2*(5+5))+4)","(((2+4)*5)-6)","((4-2)*(5+7))","(((2-4)+5)*8)","((2+4)*(9-5))","(((2*5)+4)+10)","(((2*4)+5)+11)","((2-5)*(4-12))","(((2+4)+5)+13)"],[null,null,null,null,null,null,"(((2-4)+6)*6)","((2+(4*7))-6)","(((2/4)*6)*8)","((2+(4/6))*9)","(((2*4)+6)+10)","(2-((4-6)*11))","(((2+4)+6)+12)","(((2*13)+4)-6)"],[null,null,null,null,null,null,null,"((2*(7+7))-4)","(((2*7)-8)*4)","(((2*4)+7)+9)","((2*4)*(10-7))","(((2+4)+7)+11)","(((2+7)*4)-12)"],[null,null,null,null,null,null,null,null,"(((2*4)+8)+8)","(8*((9-2)-4))","(((2+4)+8)+10)","((2*4)*(11-8))","((2+4)*(12-8))","((2*13)-(8/4))"],[null,null,null,null,null,null,null,null,null,"(((2+4)+9)+9)","(((2*9)-4)+10)",null,"((2*4)*(12-9))","((2+4)*(13-9))"],[null,null,null,null,null,null,null,null,null,null,"((2+(4/10))*10)","((2*(11-4))+10)","((2*(10-4))+12)","((2*4)*(13-10))"],[null,null,null,null,null,null,null,null,null,null,null,"(((4-2)+11)+11)","((4*(11-2))-12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((4*12)-(2*12))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((2-4)+13)+13)"]],[null,null,null,null,null,[null,null,null,null,null,null,null,"(((2*7)+5)+5)","((2+(5/5))*8)","(((2*5)+5)+9)","((5-(2/10))*5)","(((2+5)*5)-11)","(((2+5)+5)+12)","((2-5)*(5-13))"],[null,null,null,null,null,null,"(((2*5)-6)*6)","(((2-5)+7)*6)","(((2-5)+6)*8)","(((5/2)*6)+9)","((2/5)*(6*10))","(((2+5)+6)+11)","((2*(6-5))*12)","(2*((5-6)+13))"],[null,null,null,null,null,null,null,"(((2*5)+7)+7)","(((2*5)-7)*8)","(((5*7)-2)-9)","(((2+5)+7)+10)","(2-((5-7)*11))",null,"((2+(5*7))-13)"],[null,null,null,null,null,null,null,null,"((5*8)-(2*8))","(((2+5)+8)+9)","((2-10)*(5-8))","((2*(5+11))-8)","(((2*5)-8)*12)","(((2*8)-5)+13)"],[null,null,null,null,null,null,null,null,null,null,"(((2*10)-5)+9)","(((2*9)-5)+11)","(((5-2)+9)+12)"],[null,null,null,null,null,null,null,null,null,null,"(((2+10)/5)*10)","(2+((10/5)*11))","((2*(5+12))-10)","((2*13)-(10/5))"],[null,null,null,null,null,null,null,null,null,null,null,null,"((2*(11-5))+12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((5-2)*12)-12)","((2*(5+13))-12)"]],[null,null,null,null,null,null,[null,null,null,null,null,null,"(((2*6)+6)+6)","((6+(6*7))/2)","((2+(6/6))*8)","((2+6)*(9-6))","(((2+6)+6)+10)","(2*((6/6)+11))","(((2+6)-6)*12)","(2*(13-(6/6)))"],[null,null,null,null,null,null,null,null,"(((2-6)+7)*8)","(((2+6)+7)+9)","((2+6)*(10-7))","(2*((7-6)+11))","((2*(7-6))*12)","((2-6)*(7-13))"],[null,null,null,null,null,null,null,null,"(((2+6)+8)+8)","(((2/6)*8)*9)","((2*6)*(10-8))","(2-((6-8)*11))","(((2*8)-12)*6)","(((2*13)+6)-8)"],[null,null,null,null,null,null,null,null,null,"((2+(6/9))*9)","((2-10)*(6-9))","((2*6)*(11-9))","((2+6)*(12-9))"],[null,null,null,null,null,null,null,null,null,null,"(((2*10)-6)+10)","((2*(6+11))-10)","(((2*6)-10)*12)","((2+6)*(13-10))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(2+((11/6)*12))","((2*6)*(13-11))"],[null,null,null,null,null,null,null,null,null,null,null,null,"((2*(6+12))-12)","((2*13)-(12/6))"]],[null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,"(((2+7)+7)+8)",null,"((2+(10/7))*7)","(2*((7/7)+11))","(((2+7)-7)*12)","(2*(13-(7/7)))"],[null,null,null,null,null,null,null,null,"(((2-7)+8)*8)","((2*(7+9))-8)",null,"(((2*7)-11)*8)","((2*(8-7))*12)","(2*((7-8)+13))"],[null,null,null,null,null,null,null,null,null,null,"(2*((9-7)+10))","(2-((7-9)*11))",null,"(((2*9)-7)+13)"],[null,null,null,null,null,null,null,null,null,null,"((2*(7+10))-10)","(((2*10)-7)+11)","((7+(10/2))+12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((2*(7+11))-12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((2*7)-12)*12)","((2*(13-7))+12)"]],[null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,"((2*(8+8))-8)","(((2-8)+9)*8)","(((8-2)+8)+10)","(2*((8/8)+11))","(((2+8)-8)*12)","(((2*8)-13)*8)"],[null,null,null,null,null,null,null,null,null,"((2+(9/9))*8)","((2*(8+9))-10)","(2*((9-8)+11))","((2+(8/12))*9)","((2-8)*(9-13))"],[null,null,null,null,null,null,null,null,null,null,"(2*((10-8)+10))","(2-((8-10)*11))","((2*(8+10))-12)","(((2*13)+8)-10)"],[null,null,null,null,null,null,null,null,null,null,null,"((2+(11/11))*8)","(((2-11)+12)*8)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((2+(12/12))*8)","(((2-12)+13)*8)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((2+(13/13))*8)"]],[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,"(2*((9/9)+11))","(((2+9)-9)*12)","(2*(13-(9/9)))"],[null,null,null,null,null,null,null,null,null,null,"((9+(10/2))+10)","(2*((10-9)+11))","((2-10)*(9-12))","(2*((9-10)+13))"],[null,null,null,null,null,null,null,null,null,null,null,"(2-((9-11)*11))",null,"(((2*13)+9)-11)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((12/2)*(13-9))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((9+13)/2)+13)"]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,"(2*((10/10)+11))","(((2+10)-10)*12)","((2-10)*(10-13))"],[null,null,null,null,null,null,null,null,null,null,null,"(2*((11-10)+11))","(2-((10-12)*11))","(2*((10-11)+13))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((2*13)+10)-12)"]],[null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,"(2*((11/11)+11))","(((2+11)-11)*12)","(((2*11)-11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(2*(11+(12/12)))","(2*((11-12)+13))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(2*(11+(13/13)))"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((2+12)-12)*12)","((2*12)*(13-12))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((2*12)+13)-13)"]],[null,null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,"(2*(13-(13/13)))"]]],[null,null,null,[null,null,null,[null,null,null,"(((3*3)*3)-3)","(((3*3)-3)*4)","((3*3)+(3*5))","(((3+3)*3)+6)","(3*((3/3)+7))","(((3+3)-3)*8)","(3*(9-(3/3)))","(3-(3*(3-10)))","((3*11)-(3*3))","(((3+3)/3)*12)"],[null,null,null,null,"(3*((3*4)-4))","(((3/3)+5)*4)","(((3-3)+4)*6)","(3*((4-3)+7))","((3+3)*(8-4))","(3*((3-4)+9))",null,"(((3*3)+4)+11)","(((3+3)-4)*12)","((3*(13-4))-3)"],[null,null,null,null,null,"((5*5)-(3/3))","(((3+3)*5)-6)","(3*((3*5)-7))",null,"((3+3)*(9-5))","(((3*3)+5)+10)",null,"(3-(3*(5-12)))","(((3+3)+5)+13)"],[null,null,null,null,null,null,"(3*((6/3)+6))","(3-((3-6)*7))","(((3*3)-6)*8)","(((3*3)+6)+9)","(3*((3*6)-10))","(3*((3-6)+11))","(((3+3)+6)+12)","(3-(3*(6-13)))"],[null,null,null,null,null,null,null,"((3+(3/7))*7)","(((3*3)+7)+8)","((3-7)*(3-9))",null,"(((3+3)+7)+11)","(((3*3)-7)*12)","(3*((3*7)-13))"],[null,null,null,null,null,null,null,null,null,"((3*(3+8))-9)","(((3+3)+8)+10)",null,"((3+3)*(12-8))","(3*((3-8)+13))"],[null,null,null,null,null,null,null,null,null,"(((3+3)+9)+9)","((3+(3*10))-9)","(3*(11-(9/3)))","((3*(3+9))-12)","((3+3)*(13-9))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((3/3)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((3/3)+11)+12)","(((3-3)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((3-3)+12)+12)","(((3*13)-3)-12)"]],[null,null,null,null,[null,null,null,null,"(((3+4)*4)-4)","((3+(4*4))+5)","((3+(4/4))*6)","(3*((4/4)+7))","(((3+4)-4)*8)","(3*(9-(4/4)))","((4*(10-3))-4)","(((4*4)-3)+11)","((3-(4/4))*12)","(((3+4)+4)+13)"],[null,null,null,null,null,"((3-4)+(5*5))","(((3-4)+5)*6)","(((3*4)+5)+7)","(((3+5)*4)-8)","(3*((4-5)+9))","(((3*4)/5)*10)","(((3+4)*5)-11)","(((3+4)+5)+12)","(((3*5)-4)+13)"],[null,null,null,null,null,null,"(((3*4)+6)+6)",null,"(((3*4)-8)*6)","(((3-6)+9)*4)","(3*((4-6)+10))","(((3+4)+6)+11)","(((3*4)/6)*12)","(((3+13)/4)*6)"],[null,null,null,null,null,null,null,"(3-((4-7)*7))","((4*(7-3))+8)","((3*(4+7))-9)","(((3+4)+7)+10)","(3*((4-7)+11))","(3+((7/4)*12))"],[null,null,null,null,null,null,null,null,null,"(((3+4)+8)+9)","((3*4)*(10-8))","((3+(4*8))-11)","((3*(4+8))-12)","((8/3)*(13-4))"],[null,null,null,null,null,null,null,null,null,"((3*(9-4))+9)",null,"((3*4)*(11-9))","((3-(4/12))*9)","(3*((4-9)+13))"],[null,null,null,null,null,null,null,null,null,null,"(((3*10)+4)-10)",null,"(((3*4)-10)*12)","(((3-10)+13)*4)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(3*(11-(12/4)))","((3*4)*(13-11))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((4-3)*12)+12)","(((3-4)+12)+13)"]],[null,null,null,null,null,[null,null,null,null,null,null,"((3*(5+5))-6)","(3*((5/5)+7))","(((3+5)-5)*8)","((3+(9/5))*5)",null,"(((3+5)+5)+11)","((3-(5/5))*12)"],[null,null,null,null,null,null,"(((3-5)+6)*6)","(3*((6-5)+7))","((3*(6-5))*8)","((3*(5+6))-9)","(((3+5)+6)+10)","(((3*5)-11)*6)","(((3+5)-6)*12)","((3-6)*(5-13))"],[null,null,null,null,null,null,null,null,"(3-((5-8)*7))","(((3+5)+7)+9)","(3*((5-7)+10))","((3-7)*(5-11))","((3*(5+7))-12)","(((5*13)+7)/3)"],[null,null,null,null,null,null,null,null,"(((3+5)+8)+8)","(((3*9)+5)-8)",null,"(3*((5-8)+11))","(((3*5)-12)*8)","(((5*8)-3)-13)"],[null,null,null,null,null,null,null,null,null,"((3-9)*(5-9))","(((3+9)/5)*10)",null,"(3*((5-9)+12))","((3+(9*13))/5)"],[null,null,null,null,null,null,null,null,null,null,"(3*(10-(10/5)))","(((3*10)+5)-11)","(((5-3)+10)+12)","(3*((5-10)+13))"],[null,null,null,null,null,null,null,null,null,null,null,"(((5-3)+11)+11)","(((11-5)/3)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((5*12)-(3*12))","(((3*5)-13)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((3-5)+13)+13)"]],[null,null,null,null,null,null,[null,null,null,null,null,null,"((3+(6/6))*6)","(3*((6/6)+7))","(((3+6)-6)*8)","(((3+6)+6)+9)","(((6-3)*10)-6)","((6+(6*11))/3)","(((3*6)-6)+12)","(6*((13-3)-6))"],[null,null,null,null,null,null,null,"(3*((7-6)+7))","(((3+6)+7)+8)","(3*((6-7)+9))","(((6/3)*7)+10)",null,"(((3+6)-7)*12)","(((3*6)-7)+13)"],[null,null,null,null,null,null,null,null,"((3+(8/8))*6)","(((3-8)+9)*6)","(3*((6-8)+10))",null,"(6*(8-(12/3)))","(((6-3)+8)+13)"],[null,null,null,null,null,null,null,null,null,"(((3*9)+6)-9)","((3-9)*(6-10))","(3*((6-9)+11))","(((3*6)/9)*12)","(((3+13)/6)*9)"],[null,null,null,null,null,null,null,null,null,null,"((3-(6/10))*10)","(((3-10)+11)*6)","(3*((6-10)+12))"],[null,null,null,null,null,null,null,null,null,null,null,"((3+(11/11))*6)","(((3-11)+12)*6)","(3*((6-11)+13))"],[null,null,null,null,null,null,null,null,null,null,null,null,"((3+(12/12))*6)","(((3-12)+13)*6)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((3+(13/13))*6)"]],[null,null,null,null,null,null,null,[null,null,null,null,null,null,null,"(((3+7)+7)+7)","(((3+7)-7)*8)","(3*(9-(7/7)))","(((3*7)-7)+10)",null,"((3-(7/7))*12)","((3-7)*(7-13))"],[null,null,null,null,null,null,null,null,"(3*(7+(8/8)))","(3*((7-8)+9))",null,"(((3*7)-8)+11)","(((3+7)-8)*12)","(((3*13)-7)-8)"],[null,null,null,null,null,null,null,null,null,"(3*(7+(9/9)))","(3*((7-9)+10))","((3-9)*(7-11))","(((3*7)-9)+12)","((7*9)-(3*13))"],[null,null,null,null,null,null,null,null,null,null,"(3*(7+(10/10)))","(3*((7-10)+11))",null,"(((3*7)-10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"(3*(7+(11/11)))","(3*((7-11)+12))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(3*(7+(12/12)))","(3*((7-12)+13))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(3*(7+(13/13)))"]],[null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,"(((3+8)-8)*8)","((3*8)*(9-8))","(((8*10)-8)/3)","(((8-3)+8)+11)","((3-(8/8))*12)"],[null,null,null,null,null,null,null,null,null,"(((3*8)+9)-9)","((3*8)*(10-9))","(((3*9)+8)-11)","(((3+8)-9)*12)","((3*(13-8))+9)"],[null,null,null,null,null,null,null,null,null,null,"(((3*8)+10)-10)","((3*8)*(11-10))","((10/(8-3))*12)"],[null,null,null,null,null,null,null,null,null,null,null,"(((3*8)+11)-11)","((3*8)*(12-11))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((3*8)+12)-12)","((3*8)*(13-12))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((3*8)+13)-13)"]],[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,"(3*(9-(9/9)))","(3*((9+9)-10))","((3+9)*(11-9))","(((3*9)+9)-12)","((3-9)*(9-13))"],[null,null,null,null,null,null,null,null,null,null,"(3*(9-(10/10)))","(3*((9+10)-11))","(((3+9)-10)*12)","(((3*9)+10)-13)"],[null,null,null,null,null,null,null,null,null,null,null,"((3-(9/11))*11)","(3*((9+11)-12))","((3+9)*(13-11))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(3*(9-(12/12)))","(3*((9+12)-13))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(3*(9-(13/13)))"]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(3*((10+10)-12))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((3+10)-11)*12)","(3*((10+11)-13))"]],[null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((3-(11/11))*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((3+11)-12)*12)"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((3-(12/12))*12)","(((3+12)-13)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((3-(13/13))*12)"]]],[null,null,null,null,[null,null,null,null,[null,null,null,null,"((4+4)+(4*4))","(4*((4/4)+5))","(((4+4)-4)*6)","((4+4)*(7-4))","(((4+4)*4)-8)","(4-(4*(4-9)))","(4*((4*4)-10))","((4*(11-4))-4)","(((4+4)+4)+12)"],[null,null,null,null,null,"((4+(4/5))*5)","((4*(5-4))*6)","(4*((4-5)+7))","(((4+4)-5)*8)",null,"(4-(4*(5-10)))","(((4+4)+5)+11)","((4*(4+5))-12)","(((4*4)-5)+13)"],[null,null,null,null,null,null,null,null,"(4*((4-6)+8))","(((4*4)/6)*9)","(((4+4)+6)+10)","(4-(4*(6-11)))","(((4+4)-6)*12)","((4*(13-6))-4)"],[null,null,null,null,null,null,null,"((4-(4/7))*7)","((4+(4*7))-8)","(((4+4)+7)+9)","((4+4)*(10-7))",null,"(4-(4*(7-12)))","((4*13)-(4*7))"],[null,null,null,null,null,null,null,null,"(((4+4)+8)+8)","(((4*9)-4)-8)","(4*((4-8)+10))","((4+4)*(11-8))","(((4*4)/8)*12)","(4-(4*(8-13)))"],[null,null,null,null,null,null,null,null,null,null,null,"(4*((4-9)+11))","((4+4)*(12-9))"],[null,null,null,null,null,null,null,null,null,null,"(((10*10)-4)/4)",null,"(4*((4-10)+12))","(((4/4)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((4/4)+11)+12)","(((4-4)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((4-4)+12)+12)","((4*(13-4))-12)"]],[null,null,null,null,null,[null,null,null,null,null,"((4-5)+(5*5))","(((4+5)-5)*6)","(4*(7-(5/5)))","((4-(5/5))*8)","(((4*5)-5)+9)","(((4+5)+5)+10)"],[null,null,null,null,null,null,"(4*(5+(6/6)))","(4*((5-6)+7))","(((4+5)-6)*8)","(((4+5)+6)+9)","(((4*5)-6)+10)","(((5+11)/4)*6)","(((4+6)/5)*12)","(6*((13-4)-5))"],[null,null,null,null,null,null,null,"(4*(5+(7/7)))","(((4+5)+7)+8)","(((4*7)+5)-9)","(4-((5-7)*10))","(((4*5)-7)+11)","(((4+5)-7)*12)","((4-7)*(5-13))"],[null,null,null,null,null,null,null,null,"(4*(5+(8/8)))","(4*((5-8)+9))","(((4+8)/5)*10)","((4-8)*(5-11))","(((4*5)-8)+12)","(((4*8)+5)-13)"],[null,null,null,null,null,null,null,null,null,"(4*(5+(9/9)))","(4*((5-9)+10))",null,"(((5/4)*12)+9)","(((4*5)-9)+13)"],[null,null,null,null,null,null,null,null,null,null,"(4*(5+(10/10)))","(4*((5-10)+11))","(((4*5)/10)*12)","(((5-4)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"(4*(5+(11/11)))","(4*((5-11)+12))","(((5-4)*11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(4*(5+(12/12)))","(((4-5)+12)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(4*(5+(13/13)))"]],[null,null,null,null,null,null,[null,null,null,null,null,null,"(((4+6)-6)*6)","((4*6)*(7-6))","(((4+6)+6)+8)","(((4*9)-6)-6)","((6/4)*(6+10))",null,"(((6-4)*6)+12)"],[null,null,null,null,null,null,null,"(((4+6)+7)+7)","(((4+6)-7)*8)","((6/4)*(7+9))","(((4*7)+6)-10)",null,"((6/(7-4))*12)"],[null,null,null,null,null,null,null,null,"(((4*6)+8)-8)","((4*6)*(9-8))","(4-((6-8)*10))",null,"(((4+6)-8)*12)","(8*((13-4)-6))"],[null,null,null,null,null,null,null,null,null,"(((4*6)+9)-9)","((4*6)*(10-9))",null,"((4*(9-6))+12)","(((6-4)+9)+13)"],[null,null,null,null,null,null,null,null,null,null,"(((4*6)+10)-10)","((4*6)*(11-10))","(4+((10/6)*12))"],[null,null,null,null,null,null,null,null,null,null,null,"(((4*6)+11)-11)","((4*6)*(12-11))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((4*6)+12)-12)","((4*6)*(13-12))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((4-6)+13)+13)"]],[null,null,null,null,null,null,null,[null,null,null,null,null,null,null,"(4*(7-(7/7)))","(4*((7+7)-8))",null,null,"(((4*7)+7)-11)"],[null,null,null,null,null,null,null,null,"(((4+7)-8)*8)","(4*((7+8)-9))","(((7/4)*8)+10)","((4*(11-7))+8)","(((4*7)+8)-12)","((4-8)*(7-13))"],[null,null,null,null,null,null,null,null,null,"(4*(7-(9/9)))","(4*((7+9)-10))","(((7-4)*11)-9)","(((4+7)-9)*12)","(((4*7)+9)-13)"],[null,null,null,null,null,null,null,null,null,null,"(4*(7-(10/10)))","(4*((7+10)-11))","(((4+10)/7)*12)"],[null,null,null,null,null,null,null,null,null,null,null,"(4*(7-(11/11)))","(4*((7+11)-12))","(((4*11)-7)-13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(4*(7-(12/12)))","(4*((7+12)-13))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(4*(7-(13/13)))"]],[null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,"((4-(8/8))*8)","(((4+8)-9)*8)","(4*((8+8)-10))","((8+(8*11))/4)","((4*(12-8))+8)","(((8*13)-8)/4)"],[null,null,null,null,null,null,null,null,null,"((4-(9/9))*8)","(((4+9)-10)*8)","(4*((8+9)-11))","(((4*8)*9)/12)","((4*(13-9))+8)"],[null,null,null,null,null,null,null,null,null,null,"(4-((8-10)*10))","(((4+10)-11)*8)","(((4+8)-10)*12)"],[null,null,null,null,null,null,null,null,null,null,null,"((4-(11/11))*8)","(((4*11)-8)-12)","(4*((8+11)-13))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((4+12)/8)*12)","(((4+12)-13)*8)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((4-(13/13))*8)"]],[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,"(((9-4)+9)+10)",null,"(4*((9+9)-12))"],[null,null,null,null,null,null,null,null,null,null,null,"(4-((9-11)*10))","((10/(9-4))*12)","(4*((9+10)-13))"],[null,null,null,null,null,null,null,null,null,null,null,"(((4*11)-9)-11)","(((4+9)-11)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((4-12)*(9-12))"]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,"(((4*11)-10)-10)","(4-(10*(10-12)))"],[null,null,null,null,null,null,null,null,null,null,null,null,"((10+11)+(12/4))","(4-(10*(11-13)))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((4+10)-12)*12)","((4-12)*(10-13))"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((4+11)-13)*12)"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((4*12)-12)-12)"]]],[null,null,null,null,null,[null,null,null,null,null,[null,null,null,null,null,"((5*5)-(5/5))","(((5*5)+5)-6)",null,null,"(((5+5)+5)+9)",null,null,"(((5+5)/5)*12)"],[null,null,null,null,null,null,"(((5+5)-6)*6)","(((5*5)+6)-7)","(((5+5)+6)+8)",null,null,"((5+(5*6))-11)"],[null,null,null,null,null,null,null,"(((5+5)+7)+7)","(((5+5)-7)*8)",null,"(((5+7)/5)*10)","(5*(7-(11/5)))"],[null,null,null,null,null,null,null,null,"((5*5)-(8/8))","(((5*5)+8)-9)","(((5+10)/5)*8)","(((5*8)-5)-11)","(((5+5)-8)*12)","((5-8)*(5-13))"],[null,null,null,null,null,null,null,null,null,"((5*5)-(9/9))","(((5*5)+9)-10)","((5-9)*(5-11))"],[null,null,null,null,null,null,null,null,null,null,"((5*5)-(10/10))","(((5*5)+10)-11)",null,"(((5/5)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"((5*5)-(11/11))","(((5*5)+11)-12)","(((5-5)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((5-5)+12)+12)","(((5*5)+12)-13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((5*5)-(13/13))"]],[null,null,null,null,null,null,[null,null,null,null,null,null,"((5-(6/6))*6)","(((5+6)+6)+7)","(6-((5-8)*6))","((6*9)-(5*6))","(((6+6)/5)*10)",null,"(((5*6)+6)-12)"],[null,null,null,null,null,null,null,"((5-(7/7))*6)","(((5+7)-8)*6)","(6-((5-7)*9))",null,null,"(((5+7)/6)*12)","(((5*6)+7)-13)"],[null,null,null,null,null,null,null,null,"(((5+6)-8)*8)","(((5+8)-9)*6)","(((5*6)*8)/10)",null,"((5-(12/6))*8)","(((5+13)/6)*8)"],[null,null,null,null,null,null,null,null,null,"((5*(9-6))+9)","(((5+9)-10)*6)","(((5+11)/6)*9)","(((5+6)-9)*12)","((5-13)*(6-9))"],[null,null,null,null,null,null,null,null,null,null,"((5-(10/10))*6)","(((5+10)-11)*6)","(5*(6-(12/10)))","(((6-5)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"((5-(11/11))*6)","(((5+11)-12)*6)","((5*(13-6))-11)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((5-(12/12))*6)","(((5-6)+12)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((5-(13/13))*6)"]],[null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,"((5+7)*(9-7))","(((7-5)*7)+10)","((5-(11/7))*7)"],[null,null,null,null,null,null,null,null,"(((7-5)*8)+8)","(((5+7)-9)*8)","((5+7)*(10-8))"],[null,null,null,null,null,null,null,null,null,null,"((5*(10-7))+9)","((5+7)*(11-9))","(((5+9)/7)*12)","((5-9)*(7-13))"],[null,null,null,null,null,null,null,null,null,null,"(((7/5)*10)+10)","((7*(10-5))-11)","(((5+7)-10)*12)","((5-13)*(7-10))"],[null,null,null,null,null,null,null,null,null,null,null,"((5-11)*(7-11))",null,"((5+7)*(13-11))"],[null,null,null,null,null,null,null,null,null,null,null,null,"((7*12)-(5*12))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((5-7)+13)+13)"]],[null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,"(((5*8)-8)-8)","((8/(8-5))*9)","(((5+8)-10)*8)",null,null,"(((8-5)+8)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"(((5+9)-11)*8)","(((8-5)+9)+12)","(((5*9)-8)-13)"],[null,null,null,null,null,null,null,null,null,null,null,"(((8-5)+10)+11)","(((5+10)-12)*8)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((5+8)-11)*12)","(((5+11)-13)*8)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((8-5)*12)-12)"]],[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,"(((9-5)+9)+11)","(((5*9)-9)-12)"],[null,null,null,null,null,null,null,null,null,null,"(((9-5)+10)+10)","(((5*9)-10)-11)",null,"((5*(13-10))+9)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((5-11)*(9-13))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((5+9)-12)*12)","(((5+13)/9)*12)"]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,"((10+(10*11))/5)","(((10/5)+10)+12)","(((10*13)-10)/5)"],[null,null,null,null,null,null,null,null,null,null,null,"(((10/5)+11)+11)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((5+10)-13)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((5*10)-13)-13)"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((11*12)-12)/5)"]]],[null,null,null,null,null,null,[null,null,null,null,null,null,[null,null,null,null,null,null,"(((6+6)+6)+6)",null,"(6*((6+6)-8))","(((6*6)*6)/9)","((6*10)-(6*6))","((6*(11-6))-6)","(((6+6)/6)*12)"],[null,null,null,null,null,null,null,null,null,"(6*((6+7)-9))","(6-(6*(7-10)))","((6*11)-(6*7))","(((6*7)-6)-12)"],[null,null,null,null,null,null,null,null,"((6/(8-6))*8)","(6-((6-8)*9))","(6*((6+8)-10))","(6-(6*(8-11)))","(((6*6)*8)/12)","((6*(13-8))-6)"],[null,null,null,null,null,null,null,null,null,null,"(((6+10)/6)*9)","(6*((6+9)-11))","(6-(6*(9-12)))","((6*13)-(6*9))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((6+6)-10)*12)","(((6/6)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((6/6)+11)+12)","(((6-6)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((6-6)+12)+12)","((12-(6/6))+13)"]],[null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,"(6*((7+7)-10))","(((6*7)-7)-11)"],[null,null,null,null,null,null,null,null,null,"((6*8)/(9-7))","(((6*7)-8)-10)","(6*((7+8)-11))","(((6+8)/7)*12)"],[null,null,null,null,null,null,null,null,null,"(((6*7)-9)-9)",null,null,"(6*((7+9)-12))"],[null,null,null,null,null,null,null,null,null,null,"(((10-7)*10)-6)",null,"((6/(10-7))*12)","(6*((7+10)-13))"],[null,null,null,null,null,null,null,null,null,null,null,"((7*(11-6))-11)","(((6+7)-11)*12)","(((7-6)*11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((7-6)*12)+12)","(((6-7)+12)+13)"]],[null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,"(((8-6)*8)+8)","(((8+8)/6)*9)","((6*8)/(10-8))","(((6+8)-11)*8)","(6*((8+8)-12))"],[null,null,null,null,null,null,null,null,null,"((8/6)*(9+9))","(6-((8-10)*9))","((6*8)/(11-9))","(((6+9)-12)*8)","(6*((8+9)-13))"],[null,null,null,null,null,null,null,null,null,null,null,"((10*(11-8))-6)","((6*8)/(12-10))","(((6+10)-13)*8)"],[null,null,null,null,null,null,null,null,null,null,null,"(((8-6)+11)+11)","((6/(11-8))*12)","(((6*8)-11)-13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((6+8)-12)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((6-8)+13)+13)"]],[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,"(((9/6)*10)+9)","(6-(9*(9-11)))","(((9-6)+9)+12)"],[null,null,null,null,null,null,null,null,null,null,null,"(((9-6)+10)+11)","(6-(9*(10-12)))"],[null,null,null,null,null,null,null,null,null,null,null,null,"((6*(11-9))+12)","(6-(9*(11-13)))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((6+12)/9)*12)","(((6+9)-13)*12)"]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,"(((10-6)+10)+10)",null,null,"((10*(13-10))-6)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((10/(11-6))*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((6*(12-10))+12)","((6*12)/(13-10))"]],[null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((11+11)+(12/6))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((11*12)+12)/6)","((6*(13-11))+12)"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((12/(12-6))*12)","(((12*13)-12)/6)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((13-(12/6))+13)"]]],[null,null,null,null,null,null,null,[null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((7+7)/7)*12)"],[null,null,null,null,null,null,null,null,null,null,null,"(((7+7)-11)*8)"],[null,null,null,null,null,null,null,null,null,null,"((7*(9-7))+10)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((7/7)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((7/7)+11)+12)","(((7-7)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((7+7)-12)*12)","(((7*7)-12)-13)"]],[null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,"(8-((7-9)*8))","((8*10)-(7*8))","((8*(11-7))-8)","(((7+8)-12)*8)","((8/7)*(8+13))"],[null,null,null,null,null,null,null,null,null,null,"((8*9)/(10-7))",null,"(((7+9)/8)*12)","(((7+9)-13)*8)"],[null,null,null,null,null,null,null,null,null,null,"((7*(10-8))+10)","((8/7)*(10+11))",null,"(((8-7)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((8-7)+11)+12)","((7*(13-8))-11)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((8-7)*12)+12)","(((7-8)+12)+13)"]],[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((9-7)+9)+13)"],[null,null,null,null,null,null,null,null,null,null,null,"((7*(11-9))+10)","(((9-7)+10)+12)"],[null,null,null,null,null,null,null,null,null,null,null,"(((9-7)+11)+11)","(((7+11)/9)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((9*12)-(7*12))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((7-9)+13)+13)"]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,"(((10-7)+10)+11)","((7*(12-10))+10)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((7*(13-11))+10)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((10-7)*12)-12)","(((7+13)/10)*12)"]],null,[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,"((12*12)/(13-7))"]]],[null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,"(8-(8*(8-10)))","((8*11)-(8*8))","(((8+8)/8)*12)","(8*((8+8)-13))"],[null,null,null,null,null,null,null,null,null,null,null,"(8-(8*(9-11)))","((8*12)-(8*9))","((8*(13-9))-8)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(8-(8*(10-12)))","(((8/8)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((8/8)+11)+12)","(((8-8)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((8-8)+12)+12)","((12-(8/8))+13)"]],[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((8*9)/(12-9))"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((8+10)/9)*12)","((8*9)/(13-10))"],[null,null,null,null,null,null,null,null,null,null,null,"(((11-8)*11)-9)","(((9-8)+11)+12)","(((9-8)*11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(8+((12/9)*12))","(((8-9)+12)+13)"]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((10-8)+10)+12)"],[null,null,null,null,null,null,null,null,null,null,null,"(((10-8)+11)+11)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((8+12)/10)*12)","((10*12)/(13-8))"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((8-10)+13)+13)"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((11-8)*12)-12)"]]],[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((9+9)/9)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((9/9)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((9/9)+11)+12)","(((9-9)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((9-9)+12)+12)","((9*(13-9))-12)"]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((10-9)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((9+11)/10)*12)","(((10-9)*11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((10-9)*12)+12)","(((9-10)+12)+13)"]],[null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,"(((11-9)+11)+11)"],[null,null,null,null,null,null,null,null,null,null,null,null,"((11*12)-(9*12))","(((9+13)/11)*12)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((9-11)+13)+13)"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((12-9)*12)-12)"]]],[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((10+10)/10)*12)","(((10/10)+10)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((10/10)+11)+12)","(((10-10)+11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((10-10)+12)+12)","((12-(10/10))+13)"]],[null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((11-10)+11)+12)","((10+(11/11))+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((10+12)/11)*12)","(((10-11)+12)+13)"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((12*12)-(10*12))","((10+(12/12))+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((10-12)+13)+13)"]],[null,null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,"((10+13)+(13/13))"]]],[null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((11+11)/11)*12)","(((11+11)-11)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,"(((11-11)+12)+12)","(11-((11-12)*13))"]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"((11+12)+(12/12))","(((11+12)-12)+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"((11+12)+(13/13))"]],[null,null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((11+13)+13)-13)"]]],[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,"(((12+12)+12)-12)","((12-(12/12))+13)"],[null,null,null,null,null,null,null,null,null,null,null,null,null,"(((12+12)+13)-13)"]],[null,null,null,null,null,null,null,null,null,null,null,null,null,[null,null,null,null,null,null,null,null,null,null,null,null,null,"((12+13)-(13/13))"]]]]; + let arr = [a, b, c, d]; + arr.sort((a, b) => a - b); + const res = get(resMap, arr); + if (res) return res; + return `It's not possible!`; +} + +function get(obj, keys) { + keys = keys.slice(); + while (keys.length) { + let key = keys.shift(); + if (key in obj) { + obj = obj[key]; + } else { + return null; + } + } + return obj +} \ No newline at end of file