input=new Array();
nums=new Array(4);
var all_solutions="1118,8x(1+1+1)U1126,6x(2+1+1) 6x2x(1+1)U1127,(7+1)x(2+1)U1128,8x(2+1)/1 8x(2+1/1) 8x(2+1x1) 8x(2/1+1) 8x(2x1+1) 8x1x(2+1)U1129,(9-1)x(2+1)U1134,4x3x(1+1)U1135,(5+1)x(3+1)U1136,3x(6+1+1) 6x(3+1)/1 6x(3+1/1) 6x(3+1x1) 6x(3/1+1) 6x(3x1+1) 6x1x(3+1)U1137,(7-1)x(3+1) 3x(7+1)/1 3x(7+1/1) 3x(7+1x1) 3x(7/1+1) 3x(7x1+1) 3x1x(7+1)U1138,3x(8+1-1) 8x(3+1-1) 8x3+1-1 8x3/1/1U1139,(9+3)x(1+1) 3x(9-1)/1 3x(9-1/1) 3x(9-1x1) 3x(9/1-1) 3x(9x1-1) 3x1x(9-1)U1144,4x(4+1+1)U1145,4x(5+1)/1 4x(5+1/1) 4x(5+1x1) 4x(5/1+1) 4x(5x1+1) 4x1x(5+1) 5x(4+1)-1U1146,4x(6+1-1) 6x(4+1-1) 6x4+1-1 6x4/1/1U1147,(7+1)x(4-1) 4x(7-1)/1 4x(7-1/1) 4x(7-1x1) 4x(7/1-1) 4x(7x1-1) 4x1x(7-1)U1148,(8+4)x(1+1) 4x(8-1-1) 8x(4-1)/1 8x(4-1/1) 8x(4-1x1) 8x(4/1-1) 8x(4x1-1) 8x1x(4-1)U1149,(9-1)x(4-1)U1155,(5-1)x(5+1) (5x5-1)/1 1x(5x5-1) 5x5-1/1 5x5-1x1 5x5/1-1 5x5x1-1U1156,5x(6-1)-1 6x(5-1)/1 6x(5-1/1) 6x(5-1x1) 6x(5/1-1) 6x(5x1-1) 6x1x(5-1)U1157,(7+5)x(1+1) (7-1)x(5-1)U1158,8x(5-1-1)U1166,(6+6)x(1+1) 6x(6-1-1)U1168,8x6/(1+1)U1169,9x(1+1)+6U1188,8x(1+1)+8U1224,4x2x(1+2)U1225,(5+1)x(2+2) 2x2x(5+1)U1226,(6+2)x(1+2) 6x(2+2)/1 6x(2/1+2) 6x(1x2+2) 6x2x2/1 6x1x(2+2)U1227,(7-1)x(2+2) 2x2x(7-1)U1228,8x(2+2-1) 8x(2x2-1)U1229,2x(9+1+2)U1233,2x3x(1+3)U1234,(4+2)x(3+1) 4x(3+2+1) 4x3x2/1 4x3x2x1U1235,(5+3)x(2+1) 3x(5+2+1) 3x2x(5-1) 5x(3+2)-1U1236,3x(6+2)/1 3x(6+2/1) 3x(6+2x1) 3x(6/1+2) 3x(6x1+2) 3x1x(6+2) 6x(3+2-1) 6x2x(3-1)U1237,3x(7+2-1) 7x(2+1)+3 7x3+2+1U1238,(8-2)x(3+1) 2x(8+3+1) 8/(1-2/3) 8x3/(2-1) 8x3x(2-1)U1239,2x(9+3)/1 2x(9+3/1) 2x(9+3x1) 2x(9/1+3) 2x(9x1+3) 2x1x(9+3) 3x(9+1-2) 9x(2+1)-3 9x3-2-1U1244,(2+1)x(4+4) 4x(2+4)/1 4x(2+4/1) 4x(2+1x4) 4x(2/1+4) 4x(2x1+4) 1x4x(2+4) 2x4x(4-1)U1245,(5-1)x(4+2) 4x(5+2-1)U1246,(6+2)x(4-1) 6x4/(2-1) 6x4x(2-1)U1247,2x(7+4+1) 4x(7+1-2)U1248,2x(8+4)/1 2x(8+4/1) 2x(8+4x1) 2x(8/1+4) 2x(8x1+4) 2x1x(8+4) 4x(8-2)/1 4x(8-2/1) 4x(8-2x1) 4x(8/1-2) 4x(8x1-2) 4x1x(8-2) 8x(4+1-2) 8x(4/2+1)U1249,2x(9+4-1) 4+2x(9+1) 4x(9-2-1)U1255,1+5x5-2U1256,(6-2)x(5+1) 2x(6+5+1) 6x(5+1-2)U1257,(7+1)x(5-2) 2x(7+5)/1 2x(7+5/1) 2x(7+5x1) 2x(7/1+5) 2x(7x1+5) 2x1x(7+5) 5x(7-2)-1U1258,(8-2)x(5-1) 2x(8+5-1) 8x(5+1)/2 8x(5-2)/1 8x(5-2/1) 8x(5-2x1) 8x(5/1-2) 8x(5x1-2) 8x1x(5-2)U1259,(9-1)x(5-2) 9+5x(2+1) 9x2+5+1U1266,6x(6-2)/1 6x(6-2/1) 6x(6-2x1) 6x(6/1-2) 6x(1+6/2) 6x(1x6-2) 6x(2+1)+6 1x6x(6-2) 2x(6+6)/1 2x(6/1+6) 2x(1x6+6) 2x1x(6+6)U1267,(7-1)x(6-2) 2x(7+6-1) 6x(7+1)/2 6x(7-2-1)U1268,6+2x(8+1) 8x(6-2-1) 8x6/2/1 8x6x1/2U1269,(9x2+6)/1 1x(9x2+6) 6x(9-1)/2 9x2+6/1 9x2+6x1 9x2/1+6 9x2x1+6U1277,(7x7-1)/2U1278,8+2x(7+1) 8x(7-1)/2 8x2+7+1U1279,9+7x2+1 9x2+7-1U1288,(2x8+8)/1 8x(8/2-1) 1x(2x8+8) 2x8+8/1 2x8+1x8 2x8/1+8 2x1x8+8U1289,8+2x(9-1) 9+8x2-1 9x8/(2+1)U1333,(1+3)x(3+3) 3x(3x3-1)U1334,3x(4+1+3) 4x(3+3)/1 4x(3/1+3) 4x(1x3+3) 4x3x(3-1) 4x1x(3+3)U1335,(5-1)x(3+3) 3x(5+3)/1 3x(5+3/1) 3x(5+1x3) 3x(5/1+3) 3x(5x1+3) 1x3x(5+3)U1336,3x(6+3-1) 3x(6+1)+3U1337,(7x3+3)/1 1x(7x3+3) 7x3+3/1 7x3+1x3 7x3/1+3 7x1x3+3U1338,3x(8+1)-3 3x(8-1)+3U1339,(9+3)x(3-1) (9-3)x(1+3) (9x3-3)/1 1x(9x3-3) 9x(3-1/3) 9x3-3/1 9x3-1x3 9x3/1-3U1344,4x(3+4-1) 3x(4+4)/1 3x(4/1+4) 3x(1x4+4) 3x1x(4+4)U1345,(5+3)x(4-1) 3x(5+4-1) 5x(3+1)+4 5x4+3+1U1346,6/(1-3/4)U1347,7x(3+1)-4 7x(4-1)+3 7x3+4-1 7x4-3-1U1348,(8+4)x(3-1) 4x(8+1-3) 8+4x(3+1) 8/(4/3-1)U1349,4x(9-3)/1 4x(9-3/1) 4x(9-3x1) 4x(9/1-3) 4x(9x1-3) 4x1x(9-3) 9+3x(4+1) 9x(4-1)-3 9x3+1-4U1356,6+3x(5+1) 6x3+5+1U1357,(7+5)x(3-1) (7-3)x(5+1)U1358,5x(8-3)-1 8+5x3+1 8x(5+1-3)U1359,(9+5x3)/1 (9-3)x(5-1) 1x(9+5x3) 9+5x3/1 9+5x3x1 9/1+5x3 9x(5/3+1) 9x1+5x3U1366,(3-1)x(6+6) (3x6+6)/1 6x(1+6-3) 1x(3x6+6) 3x6+6/1 3x6+1x6 3x6/1+6 3x1x6+6U1367,(7+1)x(6-3) 6+3x(7-1) 6x(7-3)/1 6x(7-3/1) 6x(7-3x1) 6x(7/1-3) 6x(7x1-3) 6x1x(7-3) 7+6x3-1U1368,6x(8-3-1) 8x(6-3)/1 8x(6-3/1) 8x(6-3x1) 8x(6/1-3) 8x(6/3+1) 8x(6x1-3) 8x1x(6-3) 8x6/(3-1)U1369,(9-1)x(6-3) 3x(9+1)-6 6x(9/3+1) 9+3x(6-1) 9x(3-1)+6U1377,(3-7)x(1-7)U1378,3/(1-7/8) 8x(7-3-1)U1379,9x(7+1)/3U1388,8x(1+8)/3 8x(3+1)-8 8x(3-1)+8U1389,3/(9/8-1) 9x8/3/1 9x8x1/3U1399,9x(9-1)/3U1444,(4-1)x(4+4) 4x(1+4)+4U1445,(5x4+4)/1 1x(5x4+4) 5x4+4/1 5x4+1x4 5x4/1+4 5x1x4+4U1446,4x(6+1)-4 4x(6-1)+4U1447,(7x4-4)/1 1x(7x4-4) 7+1+4x4 7x4-4/1 7x4-1x4 7x4/1-4U1448,(8+4x4)/1 4x(8-1)-4 1x(8+4x4) 8+4x4/1 8+1x4x4 8/1+4x4 8x1+4x4U1449,4x(9+1-4) 9+4x4-1U1455,4+5x(5-1) 4x5+5-1U1456,4/(1-5/6) 6/(5/4-1)U1457,7x(5-1)-4 7x4+1-5U1458,(8-4)x(5+1) 8+4x(5-1)U1459,5x(9-4)-1 9+5x(4-1)U1466,6x(4+1)-6 6x(4-1)+6U1467,4/(7/6-1) 6x(7+1-4)U1468,6x(8-4)/1 6x(8-4/1) 6x(8-4x1) 6x(8/1-4) 6x(8x1-4) 6x1x(8-4) 8/(1-4/6) 8x(6+1-4)U1469,6x(9-4-1)U1477,(1+7)x(7-4)U1478,(8-4)x(7-1) 4x(7+1)-8 8x(7-4)/1 8x(7-4/1) 8x(7-4x1) 8x(7/1-4) 8x(7x1-4) 8x1x(7-4) 8x4-7-1U1479,(9-1)x(7-4)U1488,(4x8-8)/1 8x(8-4-1) 8x(1+8/4) 1x(4x8-8) 4x8-8/1 4x8-1x8 4x8/1-8U1489,4x(9-1)-8 8x4+1-9 9x8/(4-1)U1555,5x(5-1/5)U1556,5x(1+5)-6 6x5-1-5U1559,(9-5)x(1+5)U1566,(5x6-6)/1 1x(5x6-6) 5x6-6/1 5x6-1x6 5x6/1-6U1567,5x(7-1)-6 6x5+1-7U1568,6x(8+1-5)U1569,6x(9-5)/1 6x(9-5/1) 6x(9-5x1) 6x(9/1-5) 6x(9x1-5) 6x1x(9-5)U1578,(8-5)x(7+1) 8x(7+1-5)U1579,(9-5)x(7-1)U1588,8x(8-5)/1 8x(8-5/1) 8x(8-5x1) 8x(8/1-5) 8x(1x8-5) 8x(5-1)-8 1x8x(8-5)U1589,(9-1)x(8-5) 8x(9-5-1) 9/(1-5/8)U1599,5+1+9+9U1666,6x(6-1)-6U1668,6/(1-6/8)U1669,6x(9+1-6)U1679,(9-6)x(7+1)U1688,8/(8/6-1) 8x(1+8-6)U1689,8/(1-6/9) 8x(9-6)/1 8x(9-6/1) 8x(9-6x1) 8x(9/1-6) 8x(9x1-6) 8x1x(9-6) 9+8+6+1U1699,(6+9+9)/1 (6-9)x(1-9) 9+(6+9)/1 1x(6+9)+9 1x(6+9+9) 6+(9+9)/1 6+9/1+9 6+1x(9+9) 6+1x9+9 6/1+9+9 6x1+9+9U1779,9+1+7+7U1788,7+1+8+8U1789,(9+8+7)/1 1x(9+8+7) 7+(9+8)/1 7+1x(9+8) 8+(9+7)/1 8+1x(9+7) 8x(9+1-7) 9+(8+7)/1 9+1x(8+7) 9+8+7/1 9+8+7x1 9+8/1+7 9+8x1+7 9/1+8+7 9x1+8+7U1799,7+9+9-1U1888,(8+8+8)/1 8+(8+8)/1 8/1+8+8 1x(8+8)+8 1x(8+8+8) 1x8+8+8U1889,9+8+8-1U2223,3x2x(2+2)U2224,(4+2)x(2+2) 2x2x(4+2) 4x(2+2+2) 4x(2x2+2)U2225,2x(5x2+2)U2227,2x(7x2-2)U2228,(8-2)x(2+2) 2x(8+2+2) 2x(8+2x2) 2x2x(8-2) 8x(2/2+2)U2229,2x(9+2)+2U2233,(3+3)x(2+2) 2x2x(3+3) 3x(3x2+2)U2234,3x(4+2+2) 3x(4+2x2)U2235,3x(5x2-2)U2236,2x(6+3x2) 3x2x(6-2) 6x(3+2/2) 6x(3x2-2)U2237,2x(7+3+2) 3x(7+2/2)U2238,2x(8+3)+2 3x(8+2-2) 8x(3+2-2) 8x3+2-2U2239,(9-3)x(2+2) 2x2x(9-3) 3x(9-2/2) 9x(2/3+2) 9x2+3x2U2244,2x(4x2+4) 4x(4x2-2)U2245,4x(5+2/2) 4x2x(5-2) 5x(2+2)+4 5x2x2+4 5x4+2+2 5x4+2x2U2246,(6-2)x(4+2) 2x(6+4+2) 4x(6+2-2) 6x(4+2-2) 6x(4/2+2) 6x2x(4-2) 6x4+2-2U2247,2x(7+4)+2 4x(7-2/2) 7x(2+2)-4 7x2x2-4 7x4-2-2 7x4-2x2U2248,2x(8x2-4) 4+2x(8+2) 4x(8/2+2) 8+4x(2+2) 8+4x2x2 8x(4+2)/2 8x(4-2/2) 8x2+4x2U2249,2x(9+4)-2 9x2+4+2U2255,2x(5+5+2) 5x5-2/2U2256,(6+2)x(5-2) 2x(6+5)+2 6x(5-2/2)U2257,7x2+5x2U2258,2x(8+5)-2U2259,2x(9+5-2)U2266,6x(6+2)/2 6x2+6x2U2267,2x(7+6)-2 6+2x(7+2)U2268,(8-2)x(6-2) 2x(8+6-2) 6x(8-2-2) 6x(8-2x2) 8+2x(6+2) 8x2+6+2U2269,2x(9+6/2) 2x(9x2-6)U2277,2x(7+7-2)U2278,8+7x2+2 8x(7-2-2) 8x(7-2x2)U2288,2x(8/2+8) 8x(2+2)-8 8x(8-2)/2 8x2x2-8U2289,9x2+8-2U2333,3x(2+3+3) 2x(3x3+3)U2335,3x(5+2)+3 2x(5x3-3)U2336,(6-2)x(3+3) 2x(6+3+3) 6+2x3x3 6x(3+3-2) 6x3+2x3U2337,3x(7+3-2) 3x(7+2)-3 2x3x(7-3)U2338,8x(3+3)/2 8x(2+3/3) 8x(2x3-3) 8x3/(3-2) 8x3x(3-2)U2339,3x(9+2-3) 3x(9-2)+3 9+3x(2+3) 9x2+3+3U2344,4x(3+2)+4 3x4x(4-2) 3x4x4/2U2345,2x(5+4+3) 4x(5+3-2)U2346,3x(6+4-2) 3x(6+4/2) 3x(6x2-4) 4x(6/2+3) 4x2x(6-3) 6+3x(4+2) 6x2+4x3 6x3+4+2 6x4/(3-2) 6x4x(3-2)U2347,(7-3)x(4+2) 4+2x(7+3) 4x(7+2-3)U2348,3x(8/2+4) 3x2x(8-4) 8x(4+2-3)U2349,(9+3)x(4-2) 4x(9+3)/2 9x4x2/3U2355,(3+5)x(5-2) 2+5x5-3 3x(5+5-2)U2356,3x(6/2+5) 5x3x2-6 6x(5+2-3) 6x(5+3)/2 6x2x(5-3) 6x5-3x2U2357,7+5x3+2 7x(5-2)+3 7x3+5-2U2358,8+2x(5+3) 8/(2-5/3) 8x2+5+3U2359,(9x5+3)/2 3x2x(9-5) 9x(5-2)-3 9x3+2-5U2366,(2+6)x(6-3) 6x(2+6/3) 6x(3+2)-6 2x(3+6)+6 2x(3x6-6) 2x6x6/3U2367,3x(7x2-6) 7x3+6/2 7x6/2+3U2368,3x(8+2)-6 6+3x(8-2) 8+6x3-2U2369,(9-3)x(6-2) 2x(9+6-3) 6x(9-3-2) 9+6x2+3 9x(3-2/6) 9x(6+2)/3 9x3-6/2 9x6/2-3U2377,3+2x7+7U2378,(8-2)x(7-3) 2x(8+7-3) 8/(7/3-2) 8x(7+2)/3U2379,2x(7x3-9) 3x(9+7)/2 9+3x(7-2)U2388,8x(8-3-2) 3x(8+8)/2 3x(2x8-8)U2389,8x(9-3)/2 8x(9-3x2)U2399,2x(9/3+9) 2x9+9-3 3x(2+9)-9 3x2+9+9U2444,4x(4+4-2) 4x(4/2+4) 2x(4+4+4) 2x(4x4-4) 2x4+4x4U2445,(5-2)x(4+4) 4x(5+2)-4 4x(5x2-4)U2446,2x(6+4)+4 6+2+4x4 6x(4+4)/2 6x(2x4-4)U2447,4x(7-2)+4 2x4x(7-4)U2448,(8+4)x(4-2) (8-4)x(2+4) 4x(8+4)/2 4x(8+2-4) 4x(8-4/2) 2x4x4-8 8+2x(4+4) 8x(2+4/4) 8x4-2x4 8x2+4+4U2449,4x(9-2)-4U2455,4+2x(5+5)U2456,5x(4+2)-6 5x(6-2)+4 6+2x(5+4) 6+5x4-2 6x5-4-2U2457,(7+5)x(4-2) 4x(7+5)/2U2458,2x(5x4-8) 4x2x(8-5) 8/2+5x4 8x(4x2-5) 8x(5+2-4) 8x(5-4/2) 8x5/2+4U2459,(9-5)x(4+2) 2x(9+5)-4 4x(9+2-5)U2466,(4-2)x(6+6) 6x(6-4/2) 6x(2+6-4) 2x6x(6-4) 4x(6+6)/2 4x(2x6-6)U2467,(7-4)x(6+2) 6/(2-7/4) 7x(6-2)-4 7x2+6+4 7x4+2-6U2468,2x(8+6)-4 4x(6+2)-8 6x(8/4+2) 8+4x(6-2) 8+6x2+4 8x4-6-2 8x6/(4-2) 8x6x2/4U2469,4x(9-6/2) 4x2x(9-6) 6/(9/4-2) 9x(4-2)+6 9x(4/6+2) 9x4-6x2 9x4/2+6U2477,2x(7+7)-4U2478,4x(7x2-8) 7x4-8/2 8x7/2-4U2479,2x(9+7-4) 9+7+4x2U2488,(4-8)x(2-8) 8x(4-2)+8 2x(8+8-4) 4x8/2+8 4x2+8+8U2489,8x(9-4-2)U2499,4+2+9+9U2557,7x2+5+5U2558,8x(2+5/5)U2559,9+5x(5-2) 9+2x5+5U2566,6x(5-2)+6 6x(5x2-6)U2567,6x(7+2-5) 6x2x(7-5) 7+6x2+5U2568,(8-5)x(6+2) 5x(8-2)-6 6x5+2-8 8+6+5x2 8x(6+2-5)U2569,9+6x5/2U2577,5x2+7+7U2578,8x(5x2-7)U2579,7x5-9-2U2588,(5x8+8)/2 5x8-2x8U2589,(9-5)x(8-2) 2x(9+8-5) 9+8+5+2 9x8/(5-2)U2666,6x6-2x6 6x6/2+6 2x6+6+6U2667,(7x6+6)/2 6x(7-6/2) 6x(7-2)-6U2668,6x(2x6-8) 6x(8+2-6) 2x6x(8-6) 8x(6-6/2) 8x(2+6/6)U2669,(9-6)x(2+6) (9x6-6)/2 2x(9+6)-6U2678,2x(8+7)-6 8x(7+2-6)U2679,6x(9+2-7) 6x2x(9-7) 7x6-9x2 9+7+6+2U2688,8x(6-2)-8 6+2+8+8 6x(8-8/2)U2689,8x(6x2-9) 9x8x2/6U2699,9x(6/9+2) 2x(9+9-6)U2778,8+2+7+7 8x(2+7/7)U2788,(7x8-8)/2 8x(2+8-7) 8x(7-8/2)U2789,2x(9+7)-8U2888,8x(2+8/8) 8x8/2-8 2x(8+8)-8U2889,8x(9+2-8)U2899,8+9+9-2 8x(2+9/9)U3333,3x3x3-3U3334,3x(4+3)+3 4x(3x3-3)U3335,5x3+3x3U3336,3x(6+3)-3 6+3x(3+3) 6x(3/3+3) 6x3+3+3U3337,(7-3)x(3+3) 3x(7+3/3)U3338,3x(8+3-3) 8x(3+3-3) 8x3+3-3U3339,3x(9-3/3)U3344,3x(4x3-4) 4x3+4x3U3345,3x(5+4)-3 4x(5+3/3) 4x3x(5-3)U3346,4x(6+3-3) 6x(4+3-3) 6x4+3-3U3347,3x(7+4-3) 4x(7-3/3)U3348,(8-4)x(3+3) 8x(4-3/3) 8x3/(4-3) 8x3x(4-3)U3349,3x(9+3-4) 4x(9/3+3) 9+4x3+3U3355,5x5-3/3U3356,(6-3)x(5+3) 3x(6+5-3) 5x(3+3)-6 6+5x3+3 6x(3x3-5) 6x(5-3/3) 6x5-3-3U3357,3x(5x3-7)U3359,(9+3)x(5-3) (9-5)x(3+3) 3x(9/3+5) 9x(5+3)/3U3366,3x(6/3+6)U3367,3x(7+3)-6 7x(6-3)+3 7x3+6-3U3368,8x(3x3-6) 8x(6+3)/3U3369,6+3x(9-3) 6x(9+3)/3 9+6+3x3 9+6x3-3 9x(6-3)-3 9x3+3-6U3377,7x(3/7+3)U3378,8+7+3x3U3379,(9-3)x(7-3) 9/3+7x3 9x7/3+3U3388,8/(3-8/3)U3389,3x(8+3)-9 8x(9-3-3) 9+3x(8-3)U3399,9+9+3+3 9x(3-3/9) 9x3-9/3 9x9/3-3U3444,4x(3+4)-4U3445,4x(5+4-3) 5+3+4x4U3446,(6-3)x(4+4) 4x(3x4-6) 4x(6/3+4) 3x4x(6-4) 6x(3+4/4) 6x4/(4-3) 6x4x(4-3)U3447,4x(7+3-4) 3x(7+4/4)U3448,4x(8-3)+4 3x(4x4-8) 3x(8+4-4) 8+3x4+4 8x(3+4-4) 8x3+4-4U3449,3x(9-4/4) 9x(4+4)/3 9x(4-4/3) 9x4-3x4U3455,3+5x5-4 4+3x5+5U3456,6x(5+3-4)U3457,(7-4)x(5+3) 3x(7+5-4) 4x3x(7-5) 5x(7-3)+4 7+5+4x3 7+5x4-3U3458,(8+4)x(5-3) 4x(5+3)-8 4x(8+3-5) 8x(5+4)/3 8x3/(5-4) 8x3x(5-4) 8x4-5-3U3459,3x(9+4-5) 4x(5x3-9)U3466,6x6-4x3 3x(6+6-4) 3x(4+6)-6 4x3+6+6U3468,3x(8/4+6) 4x(8-6/3) 4x3x(8-6) 6x(4x3-8) 6x(8+4)/3U3469,(9+3)x(6-4) 4x(9+3-6)U3477,7x(7-3)-4 3+7x(7-4) 3x7+7-4 4x7+3-7U3478,8+4x(7-3)U3479,3x(7+4)-9 4x3x(9-7) 9x(7-4)-3 9x3+4-7U3489,(9-3)x(8-4) 8x(4x3-9) 8x(9+3)/4 9+8+4+3U3499,3x(9-4)+9 4x(9+9)/3 4x(9-9/3) 4x9-3-9U3556,3x(5+5)-6 6x(3+5/5)U3557,(7+5)x(5-3) 3x(7+5/5)U3558,(8-5)x(3+5) 3x(8+5-5) 8x(3+5-5) 8x3+5-5U3559,5x(9/5+3) 3x(9-5/5)U3566,(5-3)x(6+6) 6x(3+6-5)U3567,3x(7+6-5) 6x(7+5)/3U3568,8x(5-6/3) 8x3/(6-5) 8x3x(6-5) 8x6/(5-3)U3569,(9-6)x(5+3) 3x(6+5)-9 3x(9+5-6) 5x(9-3)-6 6x5+3-9 9+5x(6-3) 9x(5-3)+6U3578,7x(8-5)+3 7x5-8-3 8+7x3-5U3579,(9+3)x(7-5) 9+7+5+3 9x(5-7/3) 9x5-7x3U3588,8x(5-3)+8 5+3+8+8U3589,9x(8-5)-3 9x3+5-8U3599,(5-9)x(3-9) 5x9/3+9U3666,6x(6+6)/3 6x(6-6/3) 6x(6-3)+6 6x(3+6/6)U3667,6x(7+3-6) 3x(7+6/6) 7x6-3x6U3668,6x(8-3)-6 3x(8+6-6) 8x(3+6-6) 8x3+6-6U3669,6x6-9-3 3x(9-6/6) 9+3+6+6 9x6/3+6U3677,3x(7+7-6) 6x(3+7/7)U3678,6x(8+3-7) 8+7+6+3 8x3/(7-6) 8x3x(7-6)U3679,3x(9+6-7) 6x(7-9/3) 7x(9-6)+3 9+7x3-6U3688,6x(3+8/8) 6x8-3x8 6x8/3+8U3689,(9+3)x(8-6) 6x(9+3-8) 8x(6-9/3) 9x8/(6-3)U3699,9x(9-6)-3 6+3x9-9 6x(3+9/9)U3777,3+7+7+7 3x(7/7+7)U3778,3x(8+7-7) 8x(3+7-7) 8x3+7-7U3779,3x(9-7/7)U3788,8x(7-3)-8 3x(7+8/8) 3x8/(8-7) 3x8x(8-7)U3789,3x(9+7-8)U3799,(3+9)x(9-7) (7x9+9)/3 3x(7+9/9)U3888,(8x8+8)/3 8x(3+8-8) 3x(8+8-8) 3x8+8-8U3889,3x(9-8/8) 3x8/(9-8) 3x8x(9-8)U3899,3x(8+9-9) 8x(3+9-9) 8x3+9-9U3999,(9x9-9)/3 9+9+9-3 3x(9-9/9)U4444,4x4+4+4U4445,4x(5+4/4)U4446,4x(6+4-4) 6x(4+4-4) 6x4+4-4U4447,(7-4)x(4+4) 4x(7-4/4)U4448,4x(4+4)-8 4x(8/4+4) 8x(4-4/4) 8x4-4-4U4449,4x(9-4)+4U4455,4x(5+5-4) 5x(4/5+4) 5x5-4/4U4456,6x(5-4/4) 6x4/(5-4) 6x4x(5-4)U4457,4x(7+4-5)U4458,(8-5)x(4+4) 5x(8-4)+4 8+5x4-4 8x(4+4-5) 8x5-4x4U4468,(8+4)x(6-4) 4x(8+4-6)U4469,(9-6)x(4+4) 9x4x4/6U4477,7x(4-4/7)U4478,7x(8-4)-4 7x4+4-8U4479,4x(9+4-7) 9+7+4+4U4488,4x(8-8/4) 8+4x(8-4) 8+8+4+4 8x(8+4)/4U4489,9x4-8-4U4555,4+5x5-5 4x(5/5+5)U4556,4x(6+5-5) 6x(4+5-5) 6x4+5-5U4557,4x(7-5/5)U4558,8x(4-5/5)U4559,4+5x(9-5) 9+4x5-5U4566,4x(5+6/6) 4x6/(6-5) 4x6x(6-5)U4567,(7+5)x(6-4) 4x(7+5-6)U4568,8x(5+4-6)U4569,9+6+5+4U4577,4x(5+7/7) 5x7-4-7U4578,(8+4)x(7-5) 4x(8+5-7) 8+7+5+4 8x(7+5)/4U4579,7x(9-5)-4 7x4+5-9 9+5x(7-4) 9x4-7-5U4588,8x(5-8/4) 4x(5+8/8)U4589,4x(9+5-8) 8+4x(9-5)U4599,4x(5+9/9)U4666,(6-4)x(6+6) 6x(4+6-6) 4x(6+6-6) 4x6+6-6U4667,6x(7-4)+6 4x(7-6/6) 4x6/(7-6) 4x6x(7-6)U4668,6x(6-8/4) 6x6-8-4 8+4+6+6 8x(6+6)/4 8x(4-6/6) 8x6-4x6 8x6/(6-4)U4669,6x(9-4)-6 9x(6-4)+6 9x4-6-6U4677,4x(6+7-7) 6+4+7+7 6x(4+7-7) 6x4+7-7U4678,6x4/(8-7) 6x4x(8-7) 8x(6+4-7)U4679,6x(9+7)/4U4688,(4+8)x(8-6) 8x(6-4)+8 4x(6+8-8) 6x(8+8)/4 6x(4+8-8) 6x4+8-8U4689,6x4/(9-8) 6x4x(9-8) 9x(4-8/6) 9x8/4+6U4699,4x(6+9-9) 6x(4+9-9) 6x4+9-9U4777,4x(7-7/7)U4778,4x(7+7-8) 8x(4-7/7)U4788,8x(7+4-8) 4x(7-8/8) 7x8-4x8U4789,(9-7)x(8+4) 4x(8+7-9) 9x8/(7-4)U4799,4x(7-9/9)U4888,8x(8-4)-8 8x(4-8/8) 8x8/4+8U4889,8x(4+8-9)U4899,8x(4-9/9)U5555,5x5-5/5U5556,5x5+5-6 6x(5-5/5)U5559,9+5+5+5U5566,5x(6-6/5) 5x5-6/6 6x(5+5-6)U5567,6+5x5-7 7x5-6-5U5568,8+6+5+5U5577,(7-5)x(7+5) 5x5-7/7 7+7+5+5 7x7-5x5U5578,7+5x5-8 8x(5+5-7)U5588,5x5-8/8U5589,8+5x5-9 9+5x(8-5)U5599,5x5-9/9U5666,6x(5-6/6)U5667,(7-5)x(6+6) 6x(5+6-7) 6x6-7-5 7+5+6+6U5668,6x(8-5)+6U5669,9x6-5x6U5677,6x(5-7/7)U5678,(8-6)x(7+5) 6x(7+5-8) 8x6/(7-5)U5679,9x(7-5)+6U5688,8x(6+5-8) 6x(5-8/8)U5689,6x(8+5-9) 8x(9+6)/5U5699,5x(9-6)+9 6x(5-9/9)U5779,(9-7)x(5+7)U5788,8x(7+8)/5 8x(7-5)+8U5789,8x(7+5-9) 8x5-9-7U5888,8x8-5x8 5x8-8-8U5889,8x(9-5)-8 9x8/(8-5)U6666,6+6+6+6 6x6-6-6U6668,(8-6)x(6+6) 6x(6+6-8)U6669,6x(9-6)+6 6x6x6/9U6679,(9-7)x(6+6) 6x(7+6-9)U6688,8x6/(8-6)U6689,8x(6+6-9) 9x(8-6)+6U6789,8x6/(9-7)U6799,9x(7+9)/6 6+9x(9-7) 7x6-9-9U6888,8x(8-6)+8U6889,9x(8+8)/6 9x8-6x8U6899,8x(9+9)/6 8x9/(9-6)U7889,8x(9-7)+8U";
var solutions;
function init()
{ input=new Array();
  for (var i=0;i<4;i++)
  {  nums[i]=(Math.ceil(Math.random()*9)); 
     document.getElementById("num"+i.toString()+"p").replaceChild(document.createTextNode(nums[i].toString()),document.getElementById("num"+i.toString()+"p").firstChild); }
  var nums_sort=nums.slice(0);
  nums_sort.sort();
  solutions="";
  
  if (all_solutions.indexOf(nums_sort.join("")+",")>=0)  
  { solutions=all_solutions.slice(all_solutions.indexOf(nums_sort.join("")+",")+5,all_solutions.indexOf("U",all_solutions.indexOf(nums_sort.join("")+",")));
    solutions=solutions.replace(/ /g,"\n");  }
   update(); }

function press(ref)
{ switch(ref)
  { case 21: input.pop(); update();break;
    case 22: input=new Array(); update();break;
    case 23: if (solutions=="") {alert("Right!");init();} else  if (!confirm("Wrong! Try again?"))  {alert("All solutions:\n"+solutions); init(); }break;    ;
    case 24: init(); break;
    case 25: if (solutions=="") alert ("No solutions!"); else alert(solutions); init(); break;    
    default: input.push(ref);update(); }
    
   }

function bcount(tcstring)
{ var c=0;
  for (var i=0;i<tcstring.length;i++)
    c+=(tcstring.charAt(i)=="(")-(tcstring.charAt(i)==")");
  return c; }

function update()
{ document.getElementById("c").disabled=(input.length==0);
  document.getElementById("ce").disabled=(input.length==0); 
  var full_term=true;
  if (input.length)
    full_term=(input[input.length-1]>10);
  document.getElementById("num0").disabled=!full_term;
  document.getElementById("num1").disabled=!full_term;
  document.getElementById("num2").disabled=!full_term;
  document.getElementById("num3").disabled=!full_term;
  document.getElementById("num0p").style.textDecoration="none";
  document.getElementById("num1p").style.textDecoration="none";
  document.getElementById("num2p").style.textDecoration="none";
  document.getElementById("num3p").style.textDecoration="none";
  document.getElementById("add").disabled=full_term;
  document.getElementById("sub").disabled=full_term;
  document.getElementById("mul").disabled=full_term;
  document.getElementById("div").disabled=full_term;
  document.getElementById("brop").disabled=!full_term;
  document.getElementById("brcl").disabled=full_term;
  var output="";
  for (var i=0;i<input.length;i++)
    switch(input[i])
    { case 11:output+="+"; break;
      case 12:output+="-"; break;   
      case 13:output+="x"; break;   
      case 14:output+="/"; break;   
      case 15:output+="("; break;   
      case -15:output+=")"; break;  
      default: output+=nums[input[i]];}
   if (output.length==0)
  document.getElementById("label").replaceChild(document.createTextNode("_"), document.getElementById("label").firstChild);
   
   else
    document.getElementById("label").replaceChild(document.createTextNode(output), document.getElementById("label").firstChild);
  
  if (bcount(output)==0)
    document.getElementById("brcl").disabled=true;
  var finish=4;
  for (var i=0;i<input.length;i++)
    if (input[i]>=0 && input[i]<5)
    { finish--;
      document.getElementById("num"+input[i].toString()).disabled=true; 
      document.getElementById("num"+input[i].toString()+"p").style.textDecoration="line-through";
  } 
 if (finish==0)
 { while(bcount(output)>0)
     output+=")"; 
   document.getElementById("label").replaceChild(document.createTextNode(output+"="+(Math.round(eval(output.replace(/x/g,"*"))*1000)/1000).toString()), document.getElementById("label").firstChild);
   if (Math.round(eval(output.replace(/x/g,"*"))*1000)/1000==24)
   { if(confirm("Right! Show all solutions?"))
       alert("All solutions:\n"+solutions);
     init(); }
   else
      if (confirm("Wrong! Try again?"))
        press(22);
      else
      { if (solutions=="")  
          alert("There were no solutions!");
        else
          alert("All solutions:\n"+solutions);
        init(); } } }

function solve()
{ for (var i=0;i<4;i++)
  nums[i]=document.getElementById("num"+i.toString()).value;
  var nums_sort=nums.slice(0);
  nums_sort.sort();
  solutions="";
  
  if (all_solutions.indexOf(nums_sort.join("")+",")>=0) 
    alert("All solutions:\n"+all_solutions.slice(all_solutions.indexOf(nums_sort.join("")+",")+5,all_solutions.indexOf("U",all_solutions.indexOf(nums_sort.join("")+","))).replace(/ /g,"\n"));
  else
    alert("No solutions!");
     }