<div><br></div> <div>새벽 오유는 이렇게 무서운것입니다 여러분..</div> <div><br></div> <div>베오베의 '다시보는 과게 레전드'라는 글을 읽고 1부터 9까지 네개의 서로다른 수를 골라서 10이 되게 사칙연산을 만드는걸 해보았습니다.</div> <div><br></div> <div><br></div> <div>## 결과 ##</div> <div><br></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1234 : ['((2*4-1)+3)', '(4+(2*3))*1', '(1*2*3+4)', '(1+(3/2))*4', '((3+(2*4))-1)', '(2/1*3+4)', '1+2+3+4', '(3/1*4-2)', '(1*3*4-2)', '(3-(1/2))*4']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1235 : ['(1-2+3)*5', '(2+3+5)*1', '(3*(5-1)-2)', '((2/1+3)+5)', '(2+3+5)/1', '((2*3-1)+5)', '(1+3)/2*5', '((1*2+3)+5)', '((5+(2*3))-1)', '((2+(1*3))+5)', '((2+(3/1))+5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1236 : ['(2*(3-1)+6)', '((3-1)*6-2)', '(1+(2/3))*6', '(2-(1/3))*6', '2-1+3+6', '(2/3+1)*6', '((1+(2*6))-3)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1237 : ['(1-3+7)*2', '(3*7-1)/2', '((2-1)*3+7)', '(1-3)*(2-7)', '(3/(2-1)+7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1238 : ['(8-(1*3))*2', '(8-(3/1))*2', '((1+3)/2+8)', '2/1*(8-3)', '1*2*(8-3)', '1-2+3+8']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1239 : ['(9-1-3)*2', '((1+2)/3+9)', '(3-2+9)*1', '((3-(2/1))+9)', '((3-(1*2))+9)', '(3-2+9)/1', '(1/(3-2)+9)', '((1*3-2)+9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1245 : ['(4-(2/1))*5', '4/1/2*5', '(4/1-2)*5', '(4-(1*2))*5', '2-1+4+5', '(1*4-2)*5', '1/2*4*5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1246 : ['(1-6)*(2-4)', '((1+6)*2-4)', '(4/(2-1)+6)', '4/2*(6-1)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1247 : ['((4/2+1)+7)', '(1*2*7-4)', '1-2+4+7', '((1+(4/2))+7)', '(2/1*7-4)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1248 : ['((1*4-2)+8)', '(1/2*4+8)', '(8+(4/2))*1', '((4/1-2)+8)', '(4-2+8)/1', '((4-(1*2))+8)', '(2*(8-1)-4)', '(1-4+8)*2', '(8+(4/2))/1', '(4/1/2+8)', '((4-(2/1))+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1249 : ['1*2*(9-4)', '(9-(4/1))*2', '((9+(4/2))-1)', '(9-(1*4))*2', '4-1-2+9', '2/1*(9-4)', '((4/2-1)+9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1256 : ['5/(1+2)*6', '1-2+5+6', '(6/2-1)*5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1257 : ['(5-2+7)*1', '((1*5-2)+7)', '(5-2+7)/1', '((1+5)/2+7)', '((5/1-2)+7)', '((5-(2/1))+7)', '((1+(2*7))-5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1258 : ['((8/2+1)+5)', '5-1-2+8', '((5-1)/2+8)', '((1+(8/2))+5)', '((2*8-1)-5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1259 : ['(1-5+9)*2', '((1+9)/2+5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1267 : ['6-1-2+7', '(7+(6/2))*1', '(6/1/2+7)', '(1/2*6+7)', '((1+7)*2-6)', '(7+(6/2))/1', '((1+7)/2+6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1268 : ['((6/2-1)+8)', '(6+(8/2))*1', '((8+(6/2))-1)', '(2/1*8-6)', '(6/(1+2)+8)', '((1+2)*6-8)', '(6+(8/2))/1', '(1/2*8+6)', '(8/1/2+6)', '(1*2*8-6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1269 : ['(2*(9-1)-6)', '((9-1)/2+6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1278 : ['((1+(2*8))-7)', '((2*8+1)-7)', '((8/2-1)+7)', '((7+(8/2))-1)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1279 : ['(9/(1+2)+7)', '((2*9-1)-7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1289 : ['(1*2*9-8)', '(2/1*9-8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1345 : ['4/(3-1)*5', '((3*5-1)-4)', '(1-3+4)*5', '((1+4)*3-5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1346 : ['(1+4)/3*6', '((1+3)*4-6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1347 : ['(3*(7-4)+1)', '((3-1)*7-4)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1348 : ['(4/(3-1)+8)', '1-3+4+8']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1349 : ['(1/(4-3)+9)', '(4-3+9)*1', '((4-(3/1))+9)', '((1+3)/4+9)', '(1-3)*(4-9)', '((4-(1*3))+9)', '((1*4-3)+9)', '(4-3+9)/1']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1356 : ['(6-1-3)*5', '5/1/3*6', '(1-6)*(3-5)', '((3*5+1)-6)', '1/3*5*6', '((1+(3*5))-6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1357 : ['1-3+5+7', '5/3*(7-1)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1358 : ['(5-3+8)/1', '(5-3+8)*1', '((5/1-3)+8)', '((5-(3/1))+8)', '((1+5)*3-8)', '((1+5)/3+8)', '5/(1+3)*8', '((5-(1*3))+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1359 : ['5-1-3+9', '(9/3-1)*5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1367 : ['(6-3+7)/1', '(6-3+7)*1', '((3*6-1)-7)', '((6-(3/1))+7)', '((1+(6/3))+7)', '((6/3+1)+7)', '((6-(1*3))+7)', '((1*6-3)+7)', '((6/1-3)+7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1368 : ['(8/(3-1)+6)', '((3-1)*8-6)', '(6/1/3+8)', '(1/3*6+8)', '(8+(6/3))/1', '6-1-3+8', '(8+(6/3))*1', '(1*3*6-8)', '(3/1*6-8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1369 : ['((3*6+1)-9)', '((9+(6/3))-1)', '((1+(3*6))-9)', '((6/3-1)+9)', '((1+(9/3))+6)', '((9/3+1)+6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1378 : ['((7-1)/3+8)', '(3*(7-1)-8)', '((1+8)/3+7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1379 : ['(1/3*9+7)', '(7+(9/3))/1', '(9/1/3+7)', '(7+(9/3))*1']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1389 : ['((3-1)*9-8)', '((8+(9/3))-1)', '((9/3-1)+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1456 : ['(4*(5-1)-6)', '(6-(4/1))*5', '1*5*(6-4)', '(6-(1*4))*5', '5/1*(6-4)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1457 : ['(7-1-4)*5', '(1+7)/4*5', '(1+4)*(7-5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1458 : ['1-4+5+8', '1/4*5*8', '5/1/4*8']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1459 : ['((5-(4/1))+9)', '(1/(5-4)+9)', '((4*5-1)-9)', '((5-(1*4))+9)', '((1+4)/5+9)', '(5-4+9)/1', '5/4*(9-1)', '((1*5-4)+9)', '(5-4+9)*1']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1467 : ['1-4+6+7']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1468 : ['((6/1-4)+8)', '(1+4)*(8-6)', '((4-1)*6-8)', '((6-(1*4))+8)', '(6-4+8)*1', '((6-(4/1))+8)', '(6-4+8)/1', '(6-1)/4*8']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1469 : ['(1+(9/6))*4', '(9/6+1)*4', '6-1-4+9']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1478 : ['((1+(8/4))+7)', '7-1-4+8', '((1+7)/4+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1479 : ['(9/(4-1)+7)', '(1+4)*(9-7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1489 : ['((8/4-1)+9)', '(9/4-1)*8', '((9+(8/4))-1)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1567 : ['(1-6)*(5-7)', '(1-6+7)*5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1568 : ['(8-(6/1))*5', '1*5*(8-6)', '1-5+6+8', '(8-(1*6))*5', '5/1*(8-6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1569 : ['(6-5+9)/1', '((6-(1*5))+9)', '((1*6-5)+9)', '(6-5+9)*1', '((1+5)/6+9)', '((6-(5/1))+9)', '(1/(6-5)+9)', '(9-1-6)*5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1578 : ['((1*7-5)+8)', '((7/1-5)+8)', '((7-(1*5))+8)', '(1-7+8)*5', '(7-5+8)/1', '((7-(5/1))+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1579 : ['(9-(7/1))*5', '(9-(1*7))*5', '7-1-5+9', '5/1*(9-7)', '1*5*(9-7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1589 : ['(1-8+9)*5', '((1+9)/5+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1678 : ['1-6+7+8']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1679 : ['((1+6)/7+9)', '(1-6)*(7-9)', '(1/(7-6)+9)', '(7-6+9)*1', '((7-(1*6))+9)', '((1*7-6)+9)', '((7-(6/1))+9)', '(7-6+9)/1']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1689 : ['8-1-6+9']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">1789 : ['((8-(7/1))+9)', '((1*8-7)+9)', '((8-(1*7))+9)', '(8-7+9)/1', '(8-7+9)*1', '(1/(8-7)+9)', '((1+7)/8+9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2345 : ['((4/2+3)+5)', '(2+4)/3*5', '(2*3-4)*5', '3-2+4+5', '2/(4-3)*5', '((2*4-3)+5)', '((3+(4/2))+5)', '((5+(2*4))-3)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2346 : ['(3-4+6)*2', '(2+3)*(6-4)', '(4/(3-2)+6)', '(2+(3/6))*4', '(4*(6-3)-2)', '((6/2+3)+4)', '(3/6+2)*4', '((3+(6/2))+4)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2347 : ['(3*4-7)*2', '(2+(4*7))/3', '(4*7+2)/3', '2-3+4+7']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2348 : ['((2+4)/3+8)', '(2/(4-3)+8)', '(2-4)*(3-8)', '(3+(8/4))*2', '(3*8-4)/2', '(2+3)/4*8', '(2-(3/4))*8', '((8+(2*3))-4)', '((2*3-4)+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2349 : ['((3-(4/2))+9)', '2+3-4+9', '((3+9)/2+4)', '(4/3*9-2)', '(2/3*9+4)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2356 : ['((3+(2*6))-5)', '(2*(3+5)-6)', '2-3+5+6', '((5-3)*6-2)', '((3+5)/2+6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2357 : ['5/2*(7-3)', '((2+(3*5))-7)', '(3-5+7)*2', '(2+3)*(7-5)', '(7-2-3)*5', '(2-7)*(3-5)', '((3+7)/2+5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2358 : ['5/3*(8-2)', '(8-(2*3))*5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2359 : ['((2+3)/5+9)', '(2/(5-3)+9)', '((2+(9/3))+5)', '((2*9-3)-5)', '((2*3-5)+9)', '((9+(2*3))-5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2367 : ['6/3*(7-2)', '(7-(6/3))*2']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2368 : ['((6+8)/2+3)', '(8/6+2)*3', '(2*(3+6)-8)', '(2+(8/6))*3', '(3-6+8)*2']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2369 : ['(2*3/6+9)', '(2-(3/9))*6', '6-2-3+9', '(6/2/3+9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2378 : ['7-2-3+8', '((7-3)/2+8)', '2/3*(7+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2379 : ['((7-(2*3))+9)', '(2+3)*(9-7)', '((3*7-2)-9)', '(3-7+9)*2', '(3*9-7)/2', '((9-3)/2+7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2389 : ['(3+8+9)/2', '((8/2-3)+9)', '((3+(2*8))-9)', '(8-(9/3))*2', '((2*8+3)-9)', '((9+(8/2))-3)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2456 : ['(2*4-6)*5', '(4-5+6)*2', '((4+6)/2+5)', '(2+6)/4*5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2457 : ['((5+7)/2+4)', '2-4+5+7', '((5-(4/2))+7)', '((2*4-5)+7)', '((7+(2*4))-5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2458 : ['(2*(4+5)-8)', '(2/(5-4)+8)', '(8-2-4)*5', '((4*5-2)-8)', '5/2*(8-4)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2459 : ['2+4-5+9']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2467 : ['(6*7-2)/4', '(2/4*6+7)', '(6/(4-2)+7)', '(6-(7/2))*4', '(2-7)*(4-6)', '(4-6+7)*2']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2468 : ['(2/4*8+6)', '((2*4-6)+8)', '(8/(4-2)+6)', '((8+(2*4))-6)', '((2+(8/4))+6)', '((4-2)*8-6)', '((2+6)/4+8)', '(4/2*8-6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2469 : ['(2*(9-6)+4)', '((2+4)/6+9)', '((4-(6/2))+9)', '(4*(9-6)-2)', '(2/(6-4)+9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2478 : ['((2*7+4)-8)', '(7-(8/4))*2', '((4+(2*7))-8)', '(4*7-8)/2', '(4-7+8)*2']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2479 : ['(7-(9/2))*4', '((2*4-7)+9)', '((9+(2*4))-7)', '(4+7+9)/2', '7-2-4+9']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2489 : ['(4-8+9)*2', '(2*4/8+9)', '(8/2/4+9)', '(4/2*9-8)', '((4-2)*9-8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2567 : ['2*5*(7-6)', '2-5+6+7', '(6*(7-5)-2)', '((2*6+5)-7)', '((5+(2*6))-7)', '2*5/(7-6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2568 : ['(2/(6-5)+8)', '(2*(6-5)+8)', '((5-2)*6-8)', '(6-(8/2))*5', '(6*8+2)/5', '5/(6-2)*8', '((5-(6/2))+8)', '(2+(6*8))/5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2569 : ['2+5-6+9', '(5+6+9)/2']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2578 : ['(5+7+8)/2', '2*5*(8-7)', '2*5/(8-7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2579 : ['(2/(7-5)+9)', '((2*7+5)-9)', '((2+5)/7+9)', '((5+(2*7))-9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2589 : ['2*5*(9-8)', '2*5/(9-8)', '8-2-5+9', '((9-5)/2+8)', '((5-(8/2))+9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2678 : ['(6+7-8)*2', '(2*(7-6)+8)', '(2-7)*(6-8)', '(2/(7-6)+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2679 : ['((7+(2*6))-9)', '2+6-7+9', '(6*(9-7)-2)', '(2/6*9+7)', '((2*6+7)-9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2689 : ['(6+8-9)*2', '(8/6*9-2)', '(2/(8-6)+9)', '((2+6)/8+9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">2789 : ['2+7-8+9', '(8*9-2)/7']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3456 : ['3*4*5/6', '(4-(6/3))*5', '3-4+5+6']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3457 : ['((4*5-3)-7)', '((5+(3*4))-7)', '((4+5)/3+7)', '((3*4+5)-7)', '(3/(5-4)+7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3458 : ['((3+5)/4+8)', '((3+(8/4))+5)', '3+4-5+8', '(4/(5-3)+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3459 : ['((4+(3*5))-9)', '(3-5)*(4-9)', '((3*5+4)-9)', '(9-3-4)*5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3467 : ['(4-(7/3))*6', '(6/3*7-4)', '(4*(7-3)-6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3468 : ['(3*4/6+8)', '((4+8)/3+6)', '(3-8)*(4-6)', '((6+(3*4))-8)', '((4-(6/3))+8)', '((3*4+6)-8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3469 : ['(4-(6/9))*3', '(4*9-6)/3', '3+4-6+9']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3478 : ['(3-(7/4))*8']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3479 : ['((3+4)/7+9)', '(3/(7-4)+9)', '((3*4+7)-9)', '((7+(3*4))-9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3489 : ['((3-(8/4))+9)', '8-3-4+9']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3567 : ['((5+7)/3+6)', '((5-(6/3))+7)', '((3*7-5)-6)', '(3+6-7)*5', '(3*(6-5)+7)', '(3/(6-5)+7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3568 : ['3+5-6+8', '(8/(5-3)+6)', '((5-3)*8-6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3569 : ['(3+9)*5/6', '3*5*6/9', '((6+9)/3+5)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3578 : ['5/(7-3)*8', '((3+7)/5+8)', '(3-8)*(5-7)', '(3+7-8)*5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3579 : ['3+5-7+9']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3589 : ['((5-(9/3))+8)', '(3/(8-5)+9)', '(3+8-9)*5', '((3*8-5)-9)', '((3+5)/8+9)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3678 : ['3+6-7+8']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3679 : ['(7*9-3)/6', '(9/(6-3)+7)', '((6-(9/3))+7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3689 : ['((3+9)/6+8)', '3+6-8+9', '(3*6/9+8)', '(6/3*9-8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">3789 : ['(3-8)*(7-9)', '(3+7)*(9-8)', '(3+7)/(9-8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4567 : ['5*6/(7-4)', '4+5-6+7']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4568 : ['((4+6)/5+8)', '4*5/(8-6)', '(4+6-8)*5', '(4+8)*5/6']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4569 : ['((4*6-5)-9)', '(6*9-4)/5']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4578 : ['(4/(7-5)+8)', '((5-(8/4))+7)', '4+5-7+8']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4579 : ['(4+7-9)*5', '(4-9)*(5-7)', '4*5/(9-7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4589 : ['4+5-8+9']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4678 : ['(6*(7-4)-8)', '4/6*(7+8)', '(4+(7*8))/6', '(4+6)*(8-7)', '(4+6)/(8-7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4679 : ['((7+9)/4+6)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4689 : ['(4-9)*(6-8)', '(4+6)*(9-8)', '(4+6)/(9-8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">4789 : ['4+7+8-9', '(4/(9-7)+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">5678 : ['5*(6+8)/7', '((7-5)*8-6)', '(8+(6*7))/5', '5+6+7-8', '(7*8-6)/5', '(8/(7-5)+6)', '((5+7)/6+8)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">5679 : ['((6+9)/5+7)']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">5689 : ['5+6+8-9']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">5789 : ['((5+9)/7+8)', '((7-5)*9-8)', '(9/(8-5)+7)', '5*(7+9)/8']</span><br style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">6789 : ['6*(7+8)/9', '(8*(9-7)-6)', '(8/(9-7)+6)']</span></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><br></span></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">##</span></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;"><br></span></div> <div>당연히 손으로 풀어서 했을리는 없죠. 지나가던 전산과는 에디터를 끄적여 봅니다..</div> <div><br></div> <div>C++? 파이썬? LISP? MATLAB?</div> <div><br></div> <div>과게인분들도 아실법한 것은 매트랩이나 파이썬일텐데, 좀더 대중성있는 파이썬으로 갑니다. 버전은 3.4.3</div> <div><br></div> <div>##</div> <div><br></div> <div>어떻게 풀까 고민하다가 역시 요새 핫 하다는 함수형프로그래밍으로 풀어야겠습니다.</div> <div><br></div> <div>일단 1234부터 6789까지의 수열을 만드는 것부터 일이네요.</div> <div><br></div> <div>파이썬의 멋진 기능 list comprehension을 써봅시다.</div> <div><br></div> <div> <div style="text-align:left;"><img src="http://thimg.todayhumor.co.kr/upfile/201603/145929228958abe129d9524545a58874ed34a4c519__mn76019__w900__h76__f11001__Ym201603.png" width="800" height="68" alt="1.PNG" class="chimg_photo" style="border:none;" filesize="11001"></div><br></div> <div>수열이 간단하게 완성이 되었습니다.</div> <div><br></div> <div>잠깐, 4자리수말고 n자리수를 계산할 수 있게하는건 어떨까 생각이 들었습니다. 올바른 전산학도는 하드코딩을 보고 그냥 지나치지 않지요</div> <div><br></div> <div> <div style="text-align:left;"><img src="http://thimg.todayhumor.co.kr/upfile/201603/1459292466969dd7b483b24ec0a43b7b9ecafd687d__mn76019__w505__h483__f28630__Ym201603.png" width="505" height="483" alt="123123.PNG" style="border:none;" filesize="28630"></div><br></div> <div>수열생성기는 앞서 짜둔 코드가 있기에 함수형 프로그래밍 대신 eval을 사용하는 코드로 만들었습니다.</div> <div><br></div> <div>##</div> <div><br></div> <div>프로그램까지 쓰는데 단순히 수열마다 사칙연산 식을 하나씩만 구한다면 아쉬울것 같네요</div> <div><br></div> <div>가능한 모든 식을 계산해서, 출력하도록 하겠습니다.</div> <div><br></div> <div>괄호까지 생각하려니 머리가 핑핑 돕니다.. 일단 1234라는 수가 주어지면 이를 가능한 모든 수식을 뽑아내는 함수를 만들어야겠습니다</div> <div><br></div> <div> <div style="text-align:left;"><img src="http://thimg.todayhumor.co.kr/upfile/201603/14592929072747e567b15c4ad3bfca1a9236bbb61f__mn76019__w742__h266__f20652__Ym201603.png" width="742" height="266" alt="12314.PNG" style="border:none;" filesize="20652"></div><br></div> <div>1234라는 수가 주어지면 이를 1234, 1243, 1324, 1342 .... 4321 로 뽑아내는 함수입니다. 사칙연산은 우선순위가 있기 때문이죠</div> <div><br></div> <div>##</div> <div><br></div> <div>이제 연산결과가 10이 되는 식을 뽑아내는 함수를 만들어봅시다</div> <div><br></div> <div> <div style="text-align:left;"><img src="http://thimg.todayhumor.co.kr/upfile/201603/1459293069e94b37fe347740898598be8b15960a76__mn76019__w815__h593__f58241__Ym201603.png" width="800" height="582" alt="to_ten.PNG" class="chimg_photo" style="border:none;" filesize="58241"></div><br></div> <div>함수의 인자는 앞서 만들었던 list_of_orders에서 오는 배열을 받아서 <span style="font-size:9pt;line-height:1.5;">함수 내부에 정의된 generate라는 함수로 넘겨줍니다.</span></div> <div><br></div> <div>generate라는 내부함수는 식을 연산해서 10일경우  <span style="font-size:9pt;line-height:1.5;">to_ten_exps라는 배열에 식을 저장할 수 있고</span></div> <div><span style="font-size:9pt;line-height:1.5;"><br></span></div> <div>숫자를 하나씩 넘겨주면서 식을 생성하고 생성된 식을 계속 넘겨받아 재귀호출되게 만들었습니다.</div> <div><br></div> <div>귀도 반 로섬형이 tail call optimization을 지원하지 않게 만들어놔서 tail call optimization은 들어가지 않았습니다.</div> <div><br></div> <div>##</div> <div><br></div> <div>이제 실제로 수식을 생성하는 make_expression 함수를 만들어봅시다.</div> <div><br></div> <div> <div style="text-align:left;"><img src="http://thimg.todayhumor.co.kr/upfile/201603/14592934124859c0756b9b4a6a8685f490fdf5b55e__mn76019__w845__h346__f45865__Ym201603.png" width="800" height="328" alt="make_ex.PNG" class="chimg_photo" style="border:none;" filesize="45865"></div><br></div> <div>제일 시간이 많이 걸린 부분입니다. 중간에 결과를 확인하니 <span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;font-size:9pt;"><b>3478 : ['(3-(7/4))*8'] </b>이라는 수식을 생성하지 못했습니다.</span></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;font-size:9pt;"><br></span></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;font-size:9pt;">왜일까 고민하다가 발견한 것이, 하나씩 숫자를 받아와 생성을 하기 때문에  (3-7)  /  4 라는 입력에서 3-(7/4)를 만들어내지 못했던 것입니다</span></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;font-size:9pt;"><br></span></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;font-size:9pt;">덕분에 위에 generate함수도 좀 고치고 make_expression에서 방금과 같은 경우도 생성할 수 있도록 분기를 하나 더 늘려줍니다.</span></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;font-size:9pt;"><br></span></div> <div><font face="gulim, Dotum, Helvetica, AppleGothic, sans-serif"><span style="line-height:21.6px;">사실 이 함수는 4자리수에 최적화된 함수입니다. 왜냐하면 모든 경우를 계산하려니 불필요한 연산이 너무 많아졌기 떄문이죠</span></font></div> <div><font face="gulim, Dotum, Helvetica, AppleGothic, sans-serif"><span style="line-height:21.6px;"><br></span></font></div> <div><font face="gulim, Dotum, Helvetica, AppleGothic, sans-serif"><span style="line-height:21.6px;">## </span></font></div> <div><font face="gulim, Dotum, Helvetica, AppleGothic, sans-serif"><span style="line-height:21.6px;"><br></span></font></div> <div><font face="gulim, Dotum, Helvetica, AppleGothic, sans-serif"><span style="line-height:21.6px;">결과가 제대로 나오기 시작합니다. 이제 중복되는 식을 없애봅시다. 사람이 보기엔 '4+3+2+1' 이나 '1+2+3+4'나 같은 식이겠지만 </span></font><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;font-size:9pt;line-height:21.6px;">컴퓨터에게는 그렇지 않습니다.</span></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;font-size:9pt;line-height:21.6px;"><br></span></div> <div> <div style="text-align:left;"><img src="http://thimg.todayhumor.co.kr/upfile/201603/14592938241fcf91902be0408c8ca370b7f02ca72a__mn76019__w372__h273__f17534__Ym201603.png" width="372" height="273" alt="remove_du.PNG" style="border:none;" filesize="17534"></div><br></div> <div>잠깐 커피를 마시며 고민하다가 해법을 발견합니다. 수식을 char단위로 쪼갠다음 sort를 해주면 될 것같습니다. 이를 다시 합쳐 문자열로 만들면 훌륭한 해시값이 될 것 같네요. 주저없이 dictionary의 키값으로 써줍니다.</div> <div><br></div> <div>##</div> <div><br></div> <div>마지막으로 괄호가 너무 많으니 수식이 보기 좋지가 않네요. 특히나 (1+2+3+4) 같은 식의 마지막 괄호는 필요가 없는 것 같습니다. 과감히 날려줍시다.</div> <div><br></div> <div><img src="http://thimg.todayhumor.co.kr/upfile/201603/1459294008869993a6e6df44f08b7649606960b3fe__mn76019__w512__h232__f18037__Ym201603.png" width="512" height="232" alt="remove_brac.PNG" style="border:none;" filesize="18037"></div> <div><br></div> <div>이제 필요한 함수들이 완성이 되었습니다.</div> <div><br></div> <div>하나로 합쳐봅시다</div> <div><br></div> <div> <div style="text-align:left;"><img src="http://thimg.todayhumor.co.kr/upfile/201603/145929409961dcaf485bcb495aa220b8ed6afa8671__mn76019__w642__h474__f33966__Ym201603.png" width="642" height="474" alt="fin.PNG" style="border:none;" filesize="33966"></div><br></div> <div>지금까지 작성한 함수들이 generate_exp에서 합쳐지는걸 보니 당장 due가 내일인 프로젝트가 있었다는 사실도 까먹게됩니다..</div> <div><br></div> <div>##</div> <div><br></div> <div>끝났습니다.. </div> <div><br></div> <div>과게에 올릴까 프게에 올릴까 고민을 했는데요, 결국 과게에서 나온 이슈이기에 과게에 올립니다.</div> <div><br></div> <div>만들고보니 완전히 함수형 프로그래밍이라고 하기엔 무리가 있네요. state를 저장하고 참조하기 보다는 재귀적으로 인자를 넘겨준다는데 촛점을 맞췄습니다. 중간중간에 람다식을 써가며 코드골프라는 도전과제를 쫓고싶은 욕망이 절 유혹했지만, 가독성을 아예 우주끝으로 날려버리는 짓을 하면 귀도형에게 혼날 것 같아서 관뒀습니다. </div> <div><br></div> <div>사실 10을 구하는 수식이 있다는것을 단순히 증명하는 것이라면 훨씬 코드가 간결해질텐데, 제 목표는 가능한 수식들을 '아름답게' 보여주는 것이었습니다. 그렇기에 가능한 식들을 모두 생성하는 과정을 거쳐야했던 것이죠. dynamic programming을 함수형과 병행하기엔 상당히 귀찮은 도전과제가 될 것 같아서 충분한 최적화를 구현하진 못했습니다. 특히나 복잡한 재귀연산 덕분에 복잡도를 구하기도 힘들어져버렸네요</div> <div><br></div> <div>full 소스코드는 출처란에 첨부했습니다. 혹시나 궁금하신분들을 위해</div> <div><br></div> <div>물론 n자리 식도 계산할수 있게 만들었지만 왠만하면 시도하지 않으시는 것을 추천합니다. 식을 생성하는 함수가 4자리수에 적합하게 짜여있을 뿐더러 다섯자리의 수식은 생각만해도 가짓수가 어마어마합니다. </div> <div><br></div> <div>시간이 나면 좀더 간결한 코드로 만들어 보려고 합니다. 어디까지나 취미이니까요. 식을 생성하는 함수를 짜면서, 좀 더 알아보고 시작할걸 이라는 생각이 많이 들었습니다. 네자리수로 가능한 식이 그리 많지는 않을텐데요</div> <div><br></div> <div><br></div> <div><span style="font-family:gulim, Dotum, Helvetica, AppleGothic, sans-serif;line-height:21.6px;">새벽 오유는 이렇게 무서운것입니다 여러분..</span></div> <div><br></div> <div><br></div> <div><br></div>