#define R return
t,i,*b;f(int*a,int l,int k){int s=a[0]>>k&1,j=-1,i=1;if(k<0)R 0;for(;i<l;++i){t=a[i]>>k&1;if(s!=t)if(j<0)j=i,s=t;else R 1;}if(j<0)R f(a,l,k-1);else{if(s+b[k]==2)R 1;b[k]=s+1;R f(a,j,--k)||f(a+j,l-j,k);}}h(int*a,int l){int c[32]={0};b=c;if(f(a,l,30))R -1;t=0;for(i=0;i<32;++i)t|=(b[i]&1)<<i;R t;}

int main()
{
	int a1[] = { 4, 7, 6, 1, 0, 3 },
		a2[] = { 4, 7, 1, 6, 0, 3 },
		a3[] = { 0, 1, 3, 4, 6, 7 },
		a4[] = { 4, 2, 3, 1 },
		a5[] = { 2, 3, 0, 0, 7, 7, 4, 5, 11, 11 },
		a6[] = { 2, 3, 0, 0, 7, 7, 5, 4, 11, 11 },
		a7[] = { 1086101479, 748947367, 1767817317, 656404978, 1818793883, 1143500039 },
		a8[] = { 180522983, 1885393660, 751646477, 367706848, 331742205, 724919510, 850844696, 2121330641, 869882699, 1831158987, 542636180, 1117249765, 823387844, 731663826, 1762069894, 240170102, 1020696223, 1212052937, 2041219958, 712044033, 195249879, 1871889904, 1787674355, 1849980586, 1308879787, 1743053674, 1496763661, 607071669, 1987302942, 178202560, 1666170841, 1035995406, 75303032, 1755269469, 200581873, 500680130, 561748675, 1749521426, 1828237297, 835004548, 934883150, 38711700, 1978960635, 209243689, 1355970350, 546308601, 590319412, 959613996, 1956169400, 140411967, 112601925, 88760619, 1977727497, 672943813, 909069787, 318174568, 385280382, 370710480, 809689639, 557034312, 865578556, 217468424, 346250334, 388513751, 717158057, 941441272, 437016122, 196344643, 379529969, 821549457, 97008503, 872313181, 2105942402, 603939495, 143590999, 1580192283, 177939344, 853074291, 1288703007, 1605552664, 162070930, 1325694479, 850975127, 681702163, 1432762307, 1994488829, 780869518, 4379756, 602743458, 1963508385, 2115219284, 1219523498, 559301490, 4191682, 1918142271, 169309431, 346461371, 1619467789, 1521741606, 1881525154 },
		a9[] = { 37580156, 64423492, 87193676, 91914964, 93632157, 96332899, 154427982, 176139560, 184435039, 228963836, 230164674, 279802291, 301492375, 309127664, 345705721, 370150824, 380319820, 403997410, 410504675, 416543032, 418193132, 424733526, 428149607, 435596038, 477224208, 515649925, 519407995, 525469350, 614538124, 624884850, 642649261, 653488151, 679260270, 685637235, 690613185, 739141066, 825795124, 832026691, 832633584, 833213619, 852655299, 913744258, 917674993, 921902522, 925691996, 931307936, 954676047, 972992595, 997654606, 1020009811, 1027484648, 1052748108, 1071580605, 1108881241, 1113730139, 1122392118, 1154042251, 1170901568, 1180031842, 1180186856, 1206428383, 1214066097, 1242934611, 1243983997, 1244736049, 1262979035, 1312007069, 1312030297, 1356274316, 1368442960, 1377432523, 1415342434, 1471294243, 1529353536, 1537868913, 1566069818, 1610578189, 1612277199, 1613646498, 1639183592, 1668015280, 1764022840, 1784234921, 1786654280, 1835593744, 1849372222, 1875931624, 1877593764, 1899940939, 2007896363, 2023046907, 2030492562, 2032619034, 2085680072, 2085750388, 2110824853, 2123924948, 2131327206, 2134927760, 2136423634 },
		a10[] = { 1922985547, 1934203179, 1883318806, 1910889055, 1983590560, 1965316186, 2059139291, 2075108931, 2067514794, 2117429526, 2140519185, 1659645051, 1676816799, 1611982084, 1736461223, 1810643297, 1753583499, 1767991311, 1819386745, 1355466982, 1349603237, 1360540003, 1453750157, 1461849199, 1439893078, 1432297529, 1431882086, 1427078318, 1487887679, 1484011617, 1476718655, 1509845392, 1496496626, 1583530675, 1579588643, 1609495371, 1559139172, 1554135669, 1549766410, 1566844751, 1562161307, 1561938937, 1123551908, 1086169529, 1093103602, 1202377124, 1193780708, 1148229310, 1144649241, 1257633250, 1247607861, 1241535002, 1262624219, 1288523504, 1299222235, 840314050, 909401445, 926048886, 886867060, 873099939, 979662326, 963003815, 1012918112, 1034467235, 1026553732, 568519178, 650996158, 647728822, 616596108, 617472393, 614787483, 604041145, 633043809, 678181561, 698401105, 776651230, 325294125, 271242551, 291800692, 389634988, 346041163, 344959554, 345547011, 342290228, 354762650, 442183586, 467158857, 412090528, 532898841, 534371187, 32464799, 21286066, 109721665, 127458375, 192166356, 146495963, 142507512, 167676030, 236532616, 262832772 },
		a11[] = { 1922985547, 1934203179, 1883318806, 1910889055, 1983590560, 1965316186, 2059139291, 2075108931, 2067514794, 2117429526, 2140519185, 1659645051, 1676816799, 1611982084, 1736461223, 1810643297, 1753583499, 1767991311, 1819386745, 1355466982, 1349603237, 1360540003, 1453750157, 1461849199, 1439893078, 1432297529, 1431882086, 1427078318, 1487887679, 1484011617, 1476718655, 1509845392, 1496496626, 1583530675, 1579588643, 1609495371, 1559139172, 1554135669, 1549766410, 1566844751, 1562161307, 1561938937, 1123551908, 1086169529, 1093103602, 1202377124, 1193780708, 1148229310, 1144649241, 1257633250, 1241535002, 1247607861, 1262624219, 1288523504, 1299222235, 840314050, 909401445, 926048886, 886867060, 873099939, 979662326, 963003815, 1012918112, 1034467235, 1026553732, 568519178, 650996158, 647728822, 616596108, 617472393, 614787483, 604041145, 633043809, 678181561, 698401105, 776651230, 325294125, 271242551, 291800692, 389634988, 346041163, 344959554, 345547011, 342290228, 354762650, 442183586, 467158857, 412090528, 532898841, 534371187, 32464799, 21286066, 109721665, 127458375, 192166356, 146495963, 142507512, 167676030, 236532616, 262832772 },
		a12[] = { 525070797, 525070797, 1513526393, 2120028761, 1226660098, 1127270026, 157987001, 157987001, 1473854112, 1313504745, 1212195199, 205518537, 205518537, 624958113, 1267053516, 104042387, 104042387, 1663622738, 1663622738, 1410962539, 2090984679, 878689206, 956215433, 1169426894, 1169426894, 575748785, 1741460637, 1959208471, 335393844, 1907141730, 1907141730, 614843840, 1551327560, 782316991, 1603798981, 917086097, 19501175, 19501175, 25436069, 1655529536, 1655529536, 1075563262, 1075563262, 821609657, 608790984, 1176965153, 724460585, 1981860041, 1033443226, 307738667, 1039718503, 1851130932, 1776911919, 300149089, 808788855, 1019983557, 1019983557, 765337508, 1885431058, 458835972, 458835972, 223156275, 448950191, 494673702, 477896541, 477896541, 594028554, 750245255, 750245255, 2039049896, 2039049896, 1258937459, 640629208, 2098679543, 868620435, 1658707476, 734562713, 1712330942, 966533346, 1797565543, 807494756, 753868842, 393842130, 1488076200, 1675931990, 1675931990, 746226165, 1496942970, 1635638821, 1635638821, 747300543, 665293406, 1613073807, 49698680, 49698680, 1614526348, 1797859980, 23364977, 1293824775, 680002805, 1688680223, 931795577, 1679373241, 2046615656, 174048280, 387997319, 4809466, 1953933749, 1119683052, 1186670790, 93015282, 355308923, 1515388899, 1638070467, 869156865, 2146641874, 620435382, 1051960238, 1903092607, 1833070394, 1168262761, 367103983, 367103983, 1503582642, 1503582642, 1859849156, 622521958, 1547526893, 1547526893, 34021648, 954289791, 954289791, 874102491, 41813275, 41813275, 1642985654, 1642985654, 975961382, 1152957526, 1152957526, 324347972, 1438911529, 1606583816, 631940766, 794475543, 1800473164, 1800473164, 97824823, 97824823, 32782292, 846200054, 1477004193, 2145850357, 2145850357, 617085131, 878381308, 866345924, 1120790363, 658810532, 658810532, 1246242637, 671988261, 429517644, 1049978286, 1393962402, 883525126, 991003802, 428752254, 428752254, 2065149972, 946981301, 1811041654, 1811041654, 915839562, 915839562, 2139285288, 615655691, 1128639262, 1254543242, 1952872476, 1265284900, 1439511489, 1439511489, 718067665, 2078378866, 414390112, 70381750, 1387777513, 2027019706, 2027019706, 1889570202, 1889570202, 1903413471, 1416682286, 2087368356, 1117772200, 475307864, 44799789, 44799789, 326365766, 1662843412, 459600484, 11998333, 11998333, 1871218858, 1006121497, 1076758168, 336860894, 336860894, 1624260507, 384364256, 653781577, 1145843344, 127955634, 2043439100, 2115493172, 1433974005, 1500257692, 1865881379, 768469101, 768469101, 1266148970, 2075366573, 1823826735, 1823826735, 1623110283, 1949930850, 1886951339, 2000230997, 692640785, 1323717, 1323717, 609987284, 609987284, 1820235685, 1502834719, 888547208, 355721777, 285061058, 1602041178, 231127950, 585796383, 1686094050, 583723800, 583723800, 396690878, 396690878, 971530267, 1593147913, 525647569, 338338149, 338338149, 548549326, 1122266498, 650216898, 650216898, 128656590, 128656590, 1873754202, 905765534, 1373144803, 366515488, 1824220131, 1824220131, 1918851761, 1893261580, 1400918904, 1784445792, 654855498, 148363619, 1786462023, 1316016803, 1316016803, 587702194, 975543817, 975543817, 984549869, 1547360423, 684833704, 1835157766, 694024087, 1275388699, 1549642075, 1549642075, 1250111345, 1815972182, 226288684, 455395495, 1120585956, 1120585956, 690211969, 1670903447, 1670903447, 1068893588, 618904351, 1389251405, 1602874350, 1185391629, 489281019, 1351932587, 1315260714, 126353118, 1274153875, 117817697, 117817697, 277634418, 277634418, 490657264, 490657264, 1821683885, 196080748, 196080748, 1434214187, 1434214187, 761137096, 1515950447, 1515950447, 872637589, 266844992, 1483330109, 1483330109, 411018816, 1198430546, 130876083, 895874682, 811103483, 620500191, 142352997, 142352997, 607542324, 419523163, 1575566749, 1099682082, 1809780780, 373798819, 373541035, 1910333425, 1319680488, 1173192845, 1173192845, 1539957187, 1832212634, 1832212634, 1709434029, 1786078582, 1062505559, 2112067192, 2112067192, 1958131649, 1979430344, 2134571501, 917882241, 1414396383, 1046533799, 1587597751, 339440531, 1597209595, 41069024, 1069589878, 293281794, 749815608, 773390606, 1530859409, 1104934239, 860498470, 1443588366, 363476593, 363476593, 1920473482, 1920473482, 1504543041, 981784998, 1404875039, 1404875039, 243777531, 1130714790, 1476662641, 386533665, 2002610764, 152253720, 95274511, 749098386, 749098386, 247464715, 782322227, 1184342154, 1466018688, 1687142079, 1268429807, 2120359435, 1687379851, 1154412345, 371660120, 1850774718, 1181766844, 1181766844, 1805661469, 254463628, 254463628, 1321581826, 1321581826, 516084898, 516084898, 2010102705, 2010102705, 17724406, 502066902, 298953907, 206400229, 166551754, 166551754, 1067885440, 2023197922, 333069219, 333069219, 279216320, 1086916480, 1281024892, 441653848, 441653848, 1907338517, 950773940, 950773940, 1501672009, 1790444483, 1748318399, 738692301, 1432623328, 42878973, 42878973, 1481410544, 1481410544, 330513394, 2330698, 2330698, 1221140426, 1221140426, 615894733, 615894733, 1693223858, 694948826, 1379663903, 1379663903, 991843184, 536360495, 448770892, 1174296564, 1911410460, 2032241033, 1824803357, 1824803357, 1129882699, 1129882699, 1085721280, 1876081546, 1010718762, 1010718762, 118425217, 118425217, 872223406, 1809362320, 540227469, 694536405, 1163566493, 1646996671, 2052598708, 1196457271, 1566343901, 1023736423, 112920002, 169648723, 169648723, 872340441, 1190471859, 1190471859, 1957976619, 2144664285, 1656204498, 1656204498, 706582420, 1391625098, 1976763166, 1976763166, 1053176026, 71867886, 1879568070, 1879568070, 1421357247, 1329407248, 2049059585, 966683750, 1402530005, 1402530005, 1463545627, 1072622618, 327451441, 499079215, 1162066664, 1162066664, 1893089914, 1893089914, 108593162, 1297390044, 1271589800, 1199183239, 1199183239, 841236235, 1672665087, 945978372, 1734987058, 1196812768, 1482904279, 758000035, 1060896936, 1554065254, 1554065254, 135756298, 1733920735, 50636093, 286292100, 2139391026, 2139391026, 333010372, 112445845, 112445845, 1143324233, 1143324233, 19738795, 225030985, 225030985, 334178581, 1223828807, 320184219, 177672658, 1061626761, 956625455, 542731330, 542731330, 1811479526, 1379001623, 1014983597, 1021605252, 1021605252, 1222316077, 2019412580, 1275551111, 1029898421, 1029898421, 782355374, 1865829636, 685306097, 622731940, 75890502, 842335272, 1276892723, 1276892723, 1562745578, 1158351980, 1158351980, 1297253763, 572455806, 1579191668, 2014922020, 2014922020, 788607613, 91835660, 2124596815, 522652481, 562183580, 310721142, 758412212, 1201179359, 1748202543, 1748202543, 1249901914, 630620757, 1102523424, 1290704957, 1208278318, 2121664486, 865540134, 1945720493, 1776807007, 1776807007, 2113234926, 2113234926, 1781689681, 1586963895, 1054538414, 1651646160, 120520378, 894211979, 894211979, 1225439435, 268066581, 268066581, 1919728368, 1919728368, 1737354560, 104941875, 1547562236, 1658852850, 1462302207, 1462302207, 1683405383, 1890182212, 1436357230, 511477360, 1141843374, 118445113, 1939129912, 1371411557, 2067362028, 653319678, 564164109, 963134150, 963134150, 2066803524, 849068314, 849068314, 1246405769, 246639036, 672089291, 566559301, 566559301, 1083682918, 1726703394, 1726703394, 1344510669, 96704627, 1713167863, 802439977, 802439977, 400987493, 401394722, 1614669797, 1614669797, 1784247626, 367186520, 2135962849, 397308712, 28956017, 28956017, 19142962, 2119500066, 2119500066, 1301676617, 1301676617, 277120360, 1962349732, 1288336450, 842154966, 842154966, 1112104577, 1532398877, 1847183061, 1691146278, 1691146278, 2098835336, 2098835336, 2106744999, 1739576631, 59697743, 421287656, 902280195, 1470711888, 913193061, 852133149, 1827215624, 1827215624, 965485735, 1247569653, 1848161114, 1848161114, 1570285114, 1570285114, 1017506730, 1011530689, 851024507, 1563769767, 800963388, 1438227389, 826226221, 1333227782, 1333227782, 1584273280, 1772906569, 1772906569, 568336476, 2131880210, 669666021, 674731953, 590729437, 876348963, 876348963, 1534036083, 1534036083, 196617443, 196617443, 224562525, 224562525, 1511865359, 1986673749, 1549316720, 1205081482, 1660582720, 430716583, 430716583, 1343880389, 688543616, 688543616, 1779331351, 2016451713, 643921835, 643921835, 1440200822, 1440200822, 374905216, 420924228, 1633301244, 1633301244, 1029356969, 1018060246, 1018060246, 703961636, 611934888, 1084694921, 1084694921, 775208186, 775208186, 1554818551, 1501111784, 1828102436, 2086680751, 514429757, 514429757, 995715521, 1434979792, 2045510712, 2045510712, 91452016, 1420821180, 55406364, 304656436, 1735832205, 1735832205, 50747876, 1550860536, 583913402, 2126532067, 796150016, 549788195, 1096897200, 265755932, 1146421778, 986072789, 1636471153, 1636471153, 929987721, 1947999760, 1389831086, 1389831086, 1317422496, 948285362, 1026961122, 1017660639, 883682374, 883682374, 1475063582, 1475063582, 767651996, 2027337112, 2027337112, 1774996787, 474958944, 1325954557, 1737415601, 1737415601, 1365517203, 826267747, 1061284904, 1079364508, 896345039, 1644869623, 1601032610, 258087051, 258087051, 54712999, 1165398684, 2121907340, 2121907340, 106917086, 1457004941, 255657869, 291703842, 1431729871, 1431729871, 580723781, 580723781, 1175459089, 756490612, 756490612, 83686753, 288699322, 925933054, 295107427, 1042805126, 884400675, 962574734, 2040844767, 1723625360, 1860707415, 579123559, 2118093919, 730408154, 737899629, 603853285, 2091462561, 606993847, 2130850200, 595300522, 595300522, 2011864739, 2011864739, 987529115, 433305921, 433305921, 397708649, 653806306, 1905152905, 1905152905, 584054118, 462225647, 638103507, 638103507, 1502446781, 1994873906, 1994873906, 1703456371, 1335276959, 2098479002, 1458674910, 1594084127, 1865373475, 1168121046, 1168121046, 1909945800, 1691144159, 1691144159, 13313831, 1352090852, 1252749266, 598434153, 598434153, 1381077213, 793507746, 793507746, 2009103101, 1297906317, 1295839133, 1401242692, 1401242692, 2002561093, 2144617663, 862706143, 1186594176, 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1071591424, 1071618689, 1071618689, 1070736190, 1070736190, 1070777154, 1070777154, 1070770965, 1070770965, 1070683990, 1070882907, 1070889931, 1070204126, 1070277799, 1070273846, 1070075630, 1070108914, 1069582280, 1070064799, 1073630306, 1073630306, 1073724539, 1073530461, 1073583708, 1072981711, 1072970155, 1072436708, 1071836189, 1067416899, 1067416899, 1067239935, 1066536850, 1066582793, 1066648256, 1066435530, 1066707333, 1066330404, 1066330404, 1066333806, 1066163881, 1066142253, 1065457721, 1065457721, 1065774109, 1065774109, 1065770090, 1065837824, 1065689707, 1069052631, 1069081466, 1069093983, 1069096425, 1069096425, 1069436604, 1069436604, 1069333054, 1069333054, 1069379993, 1068632686, 1068592034, 1068994395, 1068994395, 1068062031, 1068043488, 1068382456, 1068448806, 1068448806, 1067677980, 1067563798, 1067563798, 1046130156, 1046279663, 1045492160, 1045492160, 1045526212, 1045505226, 1045835854, 1045865648, 1045373533, 1044537535, 1044572337, 1044404110, 1044490584, 1044811882, 1044729196, 1048204537, 1048168871, 1048503569, 1048379086, 1048379086, 1048414171, 1047945410, 1047963653, 1047906582, 1047313979, 1046608918, 1046999877, 1041957298, 1042181487, 1042262541, 1041407564, 1041407564, 1041240829, 1041723079, 1040934733, 1040940643, 1040775273, 1041005637, 1040984836, 1040604201, 1040579611, 1040579611, 1044064156, 1044199427, 1044199427, 1043489602, 1043472505, 1043472505, 1043424941, 1043806156, 1043048698, 1043287151, 1043287151, 1043269262, 1043099925, 1043118357, 1042429590, 1053985862, 1053889279, 1053447206, 1053332119, 1053376274, 1053608005, 1052777059, 1056668816, 1056176727, 1056204012, 1055624639, 1055844061, 1054945766, 1054945766, 1055331844, 1055189575, 1055176954, 1050352368, 1050508194, 1050508194, 1050483065, 1049786910, 1049786910, 1049719524, 1049719524, 1049589926, 1049473602, 1048769987, 1048769987, 1048798554, 1048901433, 1052497798, 1052497798, 1052712758, 1051927394, 1051806560, 1051361493, 1050917195 };

	printf("%d\n", h(a1, sizeof(a1) / sizeof(int)));
	printf("%d\n", h(a2, sizeof(a2) / sizeof(int)));
	printf("%d\n", h(a3, sizeof(a3) / sizeof(int)));
	printf("%d\n", h(a4, sizeof(a4) / sizeof(int)));
	printf("%d\n", h(a5, sizeof(a5) / sizeof(int)));
	printf("%d\n", h(a6, sizeof(a6) / sizeof(int)));
	printf("%d\n", h(a7, sizeof(a7) / sizeof(int)));
	printf("%d\n", h(a8, sizeof(a8) / sizeof(int)));
	printf("%d\n", h(a9, sizeof(a9) / sizeof(int)));
	printf("%d\n", h(a10, sizeof(a10) / sizeof(int)));
	printf("%d\n", h(a11, sizeof(a11) / sizeof(int)));
	printf("%d\n", h(a12, sizeof(a12) / sizeof(int)));
	printf("%d\n", h(a13, sizeof(a13) / sizeof(int)));
	printf("%d\n", h(a14, sizeof(a14) / sizeof(int)));
	printf("%d\n", h(a15, sizeof(a15) / sizeof(int)));
}