Add A to B

the result must be written with some digits of {A} U {B}

[Explanation here]

S = 1, 10, 2, 19, 72, 100, 3, 20, 4, 30, 5, 40, 6, 50, 7, 60, 8, 70, 9, 12, 79, 18, 13, 68, 113, 198, 21, 91, 32, 181, 130, 170, 131, 82, 120, 80, 101, 89, 109, 23, 69, 27, 14, 28, 54, 17, 24, 58, 117, 124, 90, 11, 200, 15, 36, 26, 37, 126, 93, 41, 273, 52, 163, 29, 63, 107, 123, 96, 71, 230, 73, 241, 83, 152, 64, 182, 31, 92, 119, 78, 102, 99, 112, 179, 132, 81, 97, 122, 169, 127, 25, 47, 125, 94, 51, 300, 16, 35, 48, 116, 45, 38, 46, 115, 236, 59, 34, 106, 234, 95, 61, 340, 62, 153, 128, 57, 114, 297, 104, 39, 56, 139, 172, 42, 175, 136, 180, 22, 190, 710, 191, 628, 157, 264, 140, 260, 141, 173, 138, 193, 108, 213, 168, 143, 171, 240, 160, 242, 186, 345, 49, 105, 346, 185, 133, 178, 203, 67, 103, 207, 134, 177, 244, 184, 228, 194, 208, 214, 197, 204, 137, 174, 238, 144, 268, 148, 233, 159, 232, 470, 231, 87, 192, 527, 188, 224, 195, 306, 145, 267, 149, 142, 75, 283, 245, 167, 129, 162, 53, 272, 250, 251, 164, 248, 183, 135, 176, 355, 150, 350, 151, 274, 147, 265, 257, 269, 253, 74, 362, 154, 258, 270, 33, 290, 610, 291, 528, 187, 284, 364, 84, 351, 165, 247, 205, 315, 146, 266, 256, 271, 43, 281, 437, 206, 254, 158, 223, 469, 225, 305, 196, 243, 85, 400, 44, 360, 155, 358, 375, 156, 239, 353, 372, 330, 370, 261, 255, 294, 118, 263, 259, 333, 296, 307, 326, 304, 189, 354, 217, 295, 227, 396, 216, 246, 166, 365, 218, 406, 215, 308, 275, 249, 475, 277, 430, 276, 341, 76, 293, 336, 287, 235, 288, 457, 285, 237, 335, 316, 317, 356, 279, 445, 389, 420, 380, 421, 398, 405, 327, 403, 337, 286, 342, 86, 500, 55, 450, 98, 121, 680, 1000, 65, 394, 509, 381, 357, 376, 359, 374, 369, 323, 407, 325, 417, 314, 427, 303, 367, 366, 397, 226, 415, 379, 412, 408, 395, 418, 402, 378, 456, 387, 331, 482, 320, 480, 161, 352, 371, 343, 590, 66, 540, 280, 520, 282, 531, 298, 504, 278, 446, 388, 455, 489, 401, 539, 404, 1010, 201, 689, 309, 581, 220, 580, 221, 598, 310, 591, 321, 498, 385, 373, 363, 318, 495, 328, 491, 348, 486, 377, 386, 252, 361, 262, 584, 399, 506, 439, 501, 409, 481, 332, 593, 910, 199, 702, 219, 572, 813, 210, 690, 77, 600, 88, 700, 1001, 110, 790, 111, 900, 1002, 319, 472, 812, 311, 706, 301, 589, 349, 485, 368, 313, 518, 302, 478, 419, 490, 410, 492, 431, 382, 441, 493, 451, 383, 452, 816, 312, 479, 465, 229, 463, 601, 289, 534, 611, 543, 390, 510, 391, 428, 413, 529, 416, 347, 392, 487, 497, 447, 1023, 209, 681, 905, 621, 541, 393, 532, 721, 524, 713, 461, 603, 299, 607, 329, 467, 1003, 429, 503, 1020, 202, 578, 1009, 212, 579, 1008, 440, 1004, 339, 594, 891, 695, 901, 211, 709, 961, 433, 916, 453, 941, 548, 911, 438, 426, 519, 422, 1058, 222, 1580, 521, 631, 292, 587, 991, 432, 711, 423, 811, 645, 511, 634, 612, 513, 338, 496, 448, 1016, 324, 508, 322, 701, 906, 731, 522, 1086, 344, 599, 334, 609, 951, 443, 1027, 414, 630, 411, 605, 471, 903, 1029, 561, 904, 551, 614, 512, 613, 623, 641, 515, 742, 715, 542, 712, 523, 714, 562, 1018, 424, 1017, 384, 459, 1006, 434, 915, 483, 1025, 425, 499, 435, 914, 545, 1005, 449, 505, 1030, 502, 1019, 571, 924, 918, 650, 912, 547, 831, 514, 651, 814, 573, 1062, 458, 931, 564, 1039, 454, 1028, 552, 1068, 535, 1015, 436, 913, 546, 919, 657, 1013, 468, 1012, 568, 1035, 516, 940, 517, 942, 1038, 442, 1160, 444, 1602, 462, 1140, 460, 1007, 530, 1170, 533, 1037, 526, 741, 633, 1070, 507, 1040, 560, 1041, 549, 1045, 538, 1042, 563, 1067, 536, 1024, 558, 1022, 586, 1054, 596, 971, 625, 1047, 525, 1126, 488, 1052, 673, 1033, 537, 821, 647, 1057, 473, 921, 574, 1063, 567, 1036, 559, 1031, 576, 1026, 582, 1046, 615, 841, 627, 1014, 557, 1158, 597, 981, 697, 1032, 648, 1072, 608, 1050, 494, 1055, 800, 1011, 679, 1081, 569, 1021, 669, 1097, 619, 849, 1056, 484, 1164, 477, 1053, 617, 950, 616, 953, 1082, 678, 1090, 565, 1085, 671, 925, 1080, 602, 1060, 544, 1061, 554, 1096, 670, 1034, 606, 1059, 636, 1048, 556, 1049, 705, 1196, 720, 1083, 675, 1075, 683, 1077, 629, 1073, 652, 917, 659, 1137, 476, 1138, 570, 1130, 575, 1176, 585, 1065, 738, 1069, 637, 1066, 674, 1095, 780, 1091, 718, 960, 716, 851, 727, 1043, 687, 1093, 566, 1074, 632, 1071, 635, 1127, 588, 1197, 682, 1078, 624, 1117, 644, 1182, 466, 1148, 666, 1185, 620, 1180, 464, 1150, 2350, 672, 1088, 719, 859, 1051, 639, 1157, 604, 1238, 694, 1208, 577, 1136, 795, 1084, 676, 1064, 595, 1308, 723, 815, 643, 1087, 693, 1076, 626, 1186, 665, 1291, 654, 1107, 653, 1178, 553, 1172, 685, 1120, 684, 1128, 688, 1124, 748, 1092, 677, 1099, 667, 1129, 768, 1102, 708, 1079, 618, 990, 717, 962, 1153, 698, 1103, 728, 1114, 797, 1104, 839, 1142, 779, 1098, 722, 1190, 724, 751, 827, 861, 725, 1192, 729, 1168, 646, 1218, 668, 1146, 1260, 750, 1261, 807, 1169, 745, 1209, 734, 1179, 638, 1175, 583, 1220, 791, 896, 1044, 1227, 699, 1203, 769, 1145, 796, 1105, 2345, 707, 1194, 737, 1280, 730, 1281, 820, 1191, 726, 1195, 732, 1189, 782, 1109, 781, 997, 801, 907, 871, 909, 761, 825, 1200, 802, 1119, 778, 1139, 758, 1113, 798, 1089, 789, 1101, 809, 1112, 799, 1108, 762, 1159, 756, 1219, 752, 1199, 772, 1149, 765, 1250, 474, 1163, 952, 1167, 592, 1287, 691, 895, 1094, 785, 1193, 658, 1173, 920, 1171, 1240, 770, 1241, 840, 1201, 810, 970, 817, 969, 1207, 803, 1205, 749, 1165, 686, 1296, 656, 1269, 663, 1198, 703, 1229, 743, 1270, 692, 1187, 794, 1110, 792, 1125, 890, 1121, 980, 1122, 999, 1132, 986, 1204, 739, 1174, 1237, 804, 1206, 696, 1210, 805, 1213, 759, 819, 649, 1147, 902, 1177, 1234, 850, 1202, 806, 1212, 870, 1211, 908, 1123, 996, 771, 926, 1236, 892, 1231, 882, 1242, 860, 1221, 880, 1222, 957, 1162, 954, 1217, 958, 1224, 935, 661, 995, 1320, 753, 1118, 735, 1302, 755, 1382, 764, 1372, 808, 1223, 946, 1215, 934, 1225, 927, 1214, 928, 1254, 760, 1251, 830, 1252, 873, 1230, 783, 1290, 784, 1362, 774, 1642, 622, 1390, 922, 1257, 936, 1226, 937, 1256, 872, 1253, 885, 1272, 740, 1271, 843, 1295, 854, 1294, 855, 1283, 852, 1273, 863, 1274, 874, 1263, 875, 1282, 842, 1286, 932, 1181, 1620, 844, 1624, 642, 1184, 662, 1402, 664, 1298, 1503, 822, 1301, 829, 1152, 963, 1233, 1248, 1133, 1880, 923, 1216, 945, 1249, 899, 1239, 704, 1327, 836, 1292, 837, 1326, 847, 1621, 975, 1322, 846, 1293, 845, 1572, 947, 1232, 881, 1297, 655, 2000, 550, 2001, 640, 1420, 754, 1421, 746, 1428, 736, 1427, 747, 1392, 786, 1352, 833, 1325, 828, 1310, 823, 1307, 1423, 968, 1228, 964, 1432, 886, 1732, 965, 1626, 993, 1426, 893, 1245, 938, 1246, 948, 1235, 1116, 1425, 826, 1304, 1700, 1300, 1701, 1306, 824, 1314, 1629, 834, 1520, 832, 1336, 982, 1131, 1682, 1134, 1277, 1360, 1243, 1188, 793, 1141, 1276, 1285, 853, 1332, 987, 1492, 929, 1267, 930, 1262, 864, 1284, 862, 1264, 884, 1920, 787, 1932, 857, 1321, 865, 1702, 835, 1323, 1258, 1268, 1143, 1288, 1346, 1265, 894, 1255, 883, 1275, 1356, 1259, 992, 1279, 1364, 1247, 972, 1299, 869, 1312, 856, 1329, 867, 1820, 757, 1821, 897, 1822, 866, 1652, 939, 1452, 943, 1526, 1289, 1522, 1389, 1422, 1380, 1424, 973, 1524, 967, 1552, 763, 1852, 766, 1925, 994, 1525, 1328, 1457, 2013, 788, 2019, 878, 1902, 877, 1912, 767, 1429, 989, 1529, 1166, 1482, 1331, 1680, 1330, 1681, 1403, 1601, 1413, 1603, 1401, 1613, 1430, 1278, 1305, 1705, 1340, 1266, 1345, 1670, 1341, 1706, 1311, 1760, 1303, 1528, 1324, 1106, 1903, 1156, 1829, 1353, 1660, 1350, 1661, 1453, 1608, 1433, 1610, 1431, 1630, 1381, 1462, 984, 1562, 1349, 1582, 733, 1628, 1183, 1830, 1309, 1592, 949, 1502, 1348, 1527, 944, 1625, 966, 1725, 1387, 1720, 858, 1523, 974, 1521, 998, 1721, 976, 2030, 977, 1342, 1371, 1640, 1370, 1641, 1473, 1643, 1471, 1693, 1408, 1633, 1410, 1631, 1470, 1244, 1367, 1650, 1361, 1710, 1363, 1704, 1313, 1790, 1315, 1796, 1335, 1740, 1333, 1770, 1334, 1703, 1344, 1730, 1343, 1771, 1396, 1715, 1436, 1605, 2349, 1374, 1690, 1373, 1708, 1368, 1746, 1393, 1542, 773, 2198, 1623, 744, 1632, 959, 1692, 979, 1792, 1319, 1472, 985, 1672, 1539, 1412, 1379, 1532, 1399, 1512, 1439, 1607, 1434, 1684, 1733, 1384, 1728, 1391, 1726, 1386, 1731, 1409, 1637, 1404, 1713, 1398, 555, 2398, 1406, 1635, 1479, 1638, 1476, 1930, 1161, 2043, 1338, 1775, 1376, 1737, 1394, 1707, 1369, 1745, 1803, 1355, 1750, 1351, 1764, 1377, 1736, 1395, 1716, 1435, 1606, 1534, 1480, 1530, 1481, 1683, 1458, 1723, 956, 2004, 660, 2002, 818, 2024, 1378, 1709, 1388, 1724, 1397, 1714, 1763, 1354, 1761, 1936, 1375, 1738, 1440, 1734, 1383, 1729, 1443, 1671, 1493, 1618, 1533, 1570, 1531, 1584, 1573, 1508, 1543, 1571, 1943, 1438, 1676, 1835, 1316, 1795, 1366, 1748, 1663, 1451, 2039, 1151, 2360, 848, 2016, 1135, 1960, 1735, 1405, 1636, 1478, 1639, 1407, 1634, 1484, 1934, 1385, 1727, 2083, 1347, 1767, 2003, 1317, 1794, 1337, 1776, 1935, 1483, 1653, 1461, 1823, 1358, 1757, 2400, 1600, 2401, 1609, 1437, 1604, 1536, 1579, 1538, 1577, 1834, 1359, 1756, 1831, 1647, 1839, 1442, 1469, 2023, 879, 1992, 887, 2091, 876, 1742, 775, 1802, 978, 1921, 776, 1842, 1339, 1622, 1593, 1518, 1833, 1485, 1673, 1441, 1973, 1144, 2038, 1444, 2368, 1357, 1758, 1753, 1418, 1993, 1318, 1793, 1563, 1553, 1598, 1513, 1612, 2309, 1581, 1537, 1504, 2036, 1115, 2035, 1415, 1739, 1448, 1933, 1416, 1832, 1449, 2053, 1417, 2303, 1498, 1913, 1546, 1923, 1488, 1931, 1463, 1651, 1938, 1547, 2063, 1507, 2034, 1495, 2430, 777, 1942, 2060, 1940, 2061, 1954, 1837, 1574, 1583, 1535, 1616, 1953, 1466, 2348, 1464, 2378, 1446, 2238, 1474, 1937, 1514, 2237, 1475, 1983, 1486, 2132, 1459, 2031, 988, 2103, 1567, 2308, 1494, 2318, 868, 2012, 889, 1929, 1783, 1805, 1743, 1668, 2143, 1468, 2153, 1496, 2123, 1569, 2032, 898, 2010, 6890, 1711, 2406, 1615, 1843, 1568, 2033, 1548, 1863, 1655, 2407, 933, 2037, 1465, 2183, 1575, 2130, 888, 2092, 838, 2015, 1836, 1645, 1813, 1648, 1838, 1759, 2138, 1587, 2131, 1685, 1883, 1875, 2140, 1870, 1939, 1578, 2133, 1678, 2134, 1506, 2389, 1456, 1963, 1556, 2139, 1455, 2386, 983, 1752, 1365, 1749, 2163, 1658, 1853, 1665, 2440, 1576, 2135, 1516, 2093, 1566, 2359, 1596, 2173, 1541, 2283, 1679, 2113, 1698, 2193, 1688, 2073, 1419, 2372, 1155, 2356, 1489, 2320, 1487, 2231, 1691, 2230, 1477, 2235, 1517, 2203, 1467, 2307, 1414, 2327, 1447, 2305, 1597, 2304, 955, 2300, 4700, 2301, 1589, 2223, 1689, 2137, 1588, 2233, 1699, 2213, 2468, 1550, 2460, 1551, 2394, 1510, 2390, 1511, 2504, 1501, 2439, 1490, 2431, 1509, 2381, 1460, 2380, 1445, 2570, 1450, 2560, 1454, 2358, 1154, 2273, 1519, 2392, 1549, 2363, 1590, 2310, 1591, 2321, 1594, 2317, 1558, 2263, 1649, 2293, 1619, 2302, 1599, 2306, 1595, 2316, 1804, 2204, 1806, 2245, 1780, 2240, 1772, 2341, 1782, 2340, 1674, 2402, 1614, 1873, 1544, 2397, 1505, 2396, 1515, 2136, 1559, 2353, 1774, 2351, 1784, 2339, 1586, 2236, 1585, 2470, 1540, 2471, 1646, 2370, 1644, 1773, 1694, 2232, 1497, 2382, 1741, 2270, 1744, 2280, 1747, 2330, 3590, 1500, 3500, 1545, 2369, 1557, 2395, 1560, 2391, 1554, 2501, 1564, 2450, 1561, 2490, 1565, 2540, 1611, 2405, 1656, 2409, 1617, 2404, 1657, 2319, 1864, 2207, 1814, 2208, 1874, 2248, 1840, 2170, 1841, 2180, 1844, 2260, 1845, 2206, 1914, 2097, 1893, 1675, 2441, 1687, 2239, 1677, 2447, 1695, 2410, 1654, 2408, 1712, 2415, 1697, 2419, 1768, 2364, 1751, 2374, 1762, 2414, 1797, 2342, 1781, 2346, 1777, 2436, 1696, 2416, 1755, 2417, 1754, 2361, 1854, 2261, 2354, 1769, 2403, 1499, 2413, 1718, 2424, 1717, 2435, 1722, 2453, 1491, 2328, 1884, 2244, 1860, 2241, 1871, 2246, 1876, 2411, 1765, 2449, 1798, 2314, 1799, 2324, 1808, 2214, 1807, 2264, 1851, 2274, 1848, 2279, 1849, 2278, 1894, 2218, 1904, 2098, 1924, 2088, 1941, 2070, 1944, 2068, 1948, 2064, 1951, 2074, 1945, 2067, 1949, 2072, 1947, 2065, 1964, 2040, 1961, 2054, 1958, 2094, 1907, 2104, 1905, 2114, 1997, 2014, 1998, 2044, 1968, 2048, 1970, 2041, 1971, 2046, 1966, 2146, 1950, 2141, 1976, 2045, 1967, 2049, 1972, 2047, 1965, 2147, 1969, 2243, 1669, 2253, 1659, 2466, 1785, 2343, 1789, 2334, 1859, 2422, 1800, 2412, 1779, 2344, 1788, 2384, 1809, 2420, 1686, 2437, 1801, 2427, 1825, 2347, 1816, 2445, 1827, 2425, 1787, 2454, 1791, 2421, 1857, 2418, 1824, 2298, 1974, 2051, 2154, 1962, 2164, 1952, 2443, 1815, 2423, 1858, 2294, 1818, 2446, 1975, 2042, 1977, 2142, 1979, 2148, 1980, 2144, 1984, 2028, 1994, 2007, 2145, 1906, 2254, 1861, 2740, 1400, 2600, 1411, 2601, 2455, 1826, 2442, 1786, 2426, 1855, 2463, 1865, 2493, 1778, 2499, 1627, 2480, 1946, 2066, 2194, 1908, 2174, 1955, 2464, 1662, 2484, 1664, 2451, 1766, 2448, 1981, 2247, 1881, 2544, 1868, 2744, 1985, 2234, 1888, 2433, 1850, 2432, 1886, 2242, 1986, 2542, 1987, 2084, 1928, 2184, 2017, 2485, 1667, 2458, 1817, 2461, 2055, 2465, 2057, 2469, 1812, 2456, 1719, 2452, 2050, 2457, 1828, 2754, 1867, 2429, 1856, 2704, 1916, 2645, 1872, 2654, 1862, 2764, 1895, 2434, 1847, 2205, 1846, 2271, 2750, 2272, 2950, 2052, 2149, 1978, 2249, 1878, 2834, 1879, 2438, 1890, 3040, 1891, 3047, 1666, 2459, 2156, 2495, 2005, 2497, 2025, 2477, 1810, 2472, 1819, 2462, 2058, 2124, 1988, 2224, 1898, 2284, 2531, 2500, 2502, 2503, 2510, 2505, 2516, 2506, 2515, 2507, 2514, 2006, 2554, 2096, 2524, 1995, 2534, 1989, 2543, 1996, 2643, 1885, 2473, 1896, 2743, 1869, 2748, 2059, 2467, 1811, 2476, 2151, 2574, 2008, 2474, 2167, 2545, 2027, 2475, 2075, 2641, 2071, 2546, 1982, 2547, 2165, 2486, 2126, 2496, 2105, 2647, 1915, 2483, 1899, 3004, 1889, 2934, 1887, 2841, 1877, 2840, 2561, 2551, 2571, 2541, 2069, 2953, 2076, 2549, 2056, 2564, 1957, 2494, 1917, 2594, 1918, 2694, 1927, 2794, 2018, 2604, 1956, 2640, 1959, 2634, 2026, 2734, 2086, 2674, 2095, 2487, 2085, 2742, 2078, 2624, 2188, 2935, 2087, 2614, 2107, 2905, 2116, 3005, 2115, 2904, 1897, 2804, 2536, 2520, 2508, 2479, 2250, 2478, 2357, 2428, 2854, 2160, 2444, 2168, 2644, 2117, 2995, 2077, 2649, 2178, 2648, 2179, 2850, 2161, 2951, 2150, 2860, 2152, 2870, 2155, 2906, 2185, 2907, 2195, 2917, 2255, 2770, 2251, 2830, 2252, 2970, 2157, 2940, 1866, 2746, 1882, 2946, 2315, 2498, 2325, 2702, 2335, 2488, 2365, 2707, 2513, 2509, 2489, 2333, 2895, 2337, 2955, 2106, 2915, 2197, 2584, 2268, 2954, 2175, 2947, 2275, 2803, 2215, 2806, 2256, 2871, 2257, 2965, 2297, 2925, 2367, 2705, 2312, 2856, 2371, 2650, 2373, 2855, 2377, 2851, 2276, 3050, 2158, 2664, 2518, 2590, 2511, 2605, 2481, 2331, 2482, 2375, 2708, 2512, 2608, 2598, 2591, 2521, 2530, 2491, 2338, 2885, 2387, 2492, 2550, 2610, 2517, 2603, 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