0² = 0
1² = 1
10² = 100
11² = 121
26² = 676
100² = 10000
101² = 10201
110² = 12100
260² = 67600
276² = 76176
776² = 602176
1000² = 1000000
1001² = 1002001
1010² = 1020100
1011² = 1022121
1100² = 1210000
1101² = 1212201
2600² = 6760000
2760² = 7617600
2776² = 7706176
7760² = 60217600
10000² = 100000000
10001² = 100020001
10010² = 100200100
10011² = 100220121
10100² = 102010000
10110² = 102212100
10776² = 116122176
11000² = 121000000
11001² = 121022001
11010² = 121220100
11076² = 122677776
26000² = 676000000
27600² = 761760000
27760² = 770617600
77600² = 6021760000
100000² = 10000000000
100001² = 10000200001
100010² = 10002000100
100011² = 10002200121
100100² = 10020010000
100101² = 10020210201
100110² = 10022012100
101000² = 10201000000
101001² = 10201202001
101100² = 10221210000
107760² = 11612217600
110000² = 12100000000
110001² = 12100220001
110010² = 12102200100
110100² = 12122010000
110760² = 12267777600
161761² = 26166621121
260000² = 67600000000
267726² = 71677211076
276000² = 76176000000
277600² = 77061760000
776000² = 602176000000
1000000² = 1000000000000
1000001² = 1000002000001
1000010² = 1000020000100
1000011² = 1000022000121
1000100² = 1000200010000
1000101² = 1000202010201
1000110² = 1000220012100
1001000² = 1002001000000
1001010² = 1002021020100
1001100² = 1002201210000
1010000² = 1020100000000
1010001² = 1020102020001
1010010² = 1020120200100
1010011² = 1020122220121
1011000² = 1022121000000
1077600² = 1161221760000
1077776² = 1161601106176
1100000² = 1210000000000
1100001² = 1210002200001
1100010² = 1210022000100
1100100² = 1210220010000
1100101² = 1210222210201
1100276² = 1210607276176
1101000² = 1212201000000
1107600² = 1226777760000
1107776² = 1227167666176
1617610² = 2616662112100
1621011² = 2627676662121
2600000² = 6760000000000
2667726² = 7116762011076
2677260² = 7167721107600
2760000² = 7617600000000
2760011² = 7617660720121
2776000² = 7706176000000
7760000² = 60217600000000
7760011² = 60217770720121
10000000² = 100000000000000
10000001² = 100000020000001
10000010² = 100000200000100
10000011² = 100000220000121
10000100² = 100002000010000
10000101² = 100002020010201
10000110² = 100002200012100
10001000² = 100020001000000
10001001² = 100020021002001
10001010² = 100020201020100
10001011² = 100020221022121
10001100² = 100022001210000
10001101² = 100022021212201
10010000² = 100200100000000
10010001² = 100200120020001
10010100² = 100202102010000
10011000² = 100220121000000
10100000² = 102010000000000
10100001² = 102010020200001
10100010² = 102010202000100
10100011² = 102010222200121
10100100² = 102012020010000
10100110² = 102012222012100
10110000² = 102212100000000
10110001² = 102212120220001
10776000² = 116122176000000
10777760² = 116160110617600
11000000² = 121000000000000
11000001² = 121000022000001
11000010² = 121000220000100
11000100² = 121002200010000
11000101² = 121002222010201
11000276² = 121006072076176
11000776² = 121017072602176
11001000² = 121022001000000
11001010² = 121022221020100
11002760² = 121060727617600
11010000² = 121220100000000
11010001² = 121220122020001
11012276² = 121270222700176
11076000² = 122677776000000
11077760² = 122716766617600
11077776² = 122717121106176
16176100² = 261666211210000
16210110² = 262767666212100
16617061² = 276126716277721
26000000² = 676000000000000
26667726² = 711167610011076
26677260² = 711676201107600
26772600² = 716772110760000
26777261² = 717021706662121
27600000² = 761760000000000
27600011² = 761760607200121
27600110² = 761766072012100
27760000² = 770617600000000
77600000² = 6021760000000000
77600011² = 6021761707200121
77600110² = 6021777072012100
77627776² = 6026071606706176
100000000² = 10000000000000000
100000001² = 10000000200000001
100000010² = 10000002000000100
100000011² = 10000002200000121
100000100² = 10000020000010000
100000101² = 10000020200010201
100000110² = 10000022000012100
100001000² = 10000200001000000
100001001² = 10000200201002001
100001010² = 10000202001020100
100001011² = 10000202201022121
100001100² = 10000220001210000
100001101² = 10000220201212201
100010000² = 10002000100000000
100010010² = 10002002100200100
100010100² = 10002020102010000
100010110² = 10002022102212100
100011000² = 10002200121000000
100011010² = 10002202121220100
100100000² = 10020010000000000
100100001² = 10020010200200001
100100010² = 10020012002000100
100100011² = 10020012202200121
100101000² = 10020210201000000
100110000² = 10022012100000000
101000000² = 10201000000000000
101000001² = 10201000202000001
101000010² = 10201002020000100
101000011² = 10201002222000121
101000100² = 10201020200010000
101000110² = 10201022220012100
101001000² = 10201202001000000
101001100² = 10201222201210000
101100000² = 10221210000000000
101100001² = 10221210202200001
101100010² = 10221212022000100
107760000² = 11612217600000000
107777600² = 11616011061760000
110000000² = 12100000000000000
110000001² = 12100000220000001
110000010² = 12100002200000100
110000100² = 12100022000010000
110000101² = 12100022220010201
110000276² = 12100060720076176
110000776² = 12100170720602176
110001000² = 12100220001000000
110001001² = 12100220221002001
110001010² = 12100222201020100
110002760² = 12100607207617600
110002776² = 12100610727706176
110007760² = 12101707260217600
110010000² = 12102200100000000
110010100² = 12102222102010000
110027600² = 12106072761760000
110100000² = 12122010000000000
110100001² = 12122010220200001
110100010² = 12122012202000100
110122760² = 12127022270017600
110760000² = 12267777600000000
110777600² = 12271676661760000
110777760² = 12271712110617600
127126011² = 16161022672772121
161761000² = 26166621121000000
162101100² = 26276766621210000
166170610² = 27612671627772100
260000000² = 67600000000000000
266677260² = 71116761001107600
266772600² = 71167620110760000
267726000² = 71677211076000000
267772610² = 71702170666212100
276000000² = 76176000000000000
276000011² = 76176006072000121
276000110² = 76176060720012100
276001100² = 76176607201210000
277600000² = 77061760000000000
277600011² = 77061766107200121
776000000² = 602176000000000000
776000011² = 602176017072000121
776000110² = 602176170720012100
776001100² = 602177707201210000
776061026² = 602270716076172676
776277760² = 602607160670617600
1000000000² = 1000000000000000000
1000000001² = 1000000002000000001
1000000010² = 1000000020000000100
1000000011² = 1000000022000000121
1000000100² = 1000000200000010000
1000000101² = 1000000202000010201
1000000110² = 1000000220000012100
1000001000² = 1000002000001000000
1000001001² = 1000002002001002001
1000001010² = 1000002020001020100
1000001011² = 1000002022001022121
1000001100² = 1000002200001210000
1000001101² = 1000002202001212201
1000010000² = 1000020000100000000
1000010001² = 1000020002100020001
1000010010² = 1000020020100200100
1000010011² = 1000020022100220121
1000010100² = 1000020200102010000
1000010110² = 1000020220102212100
1000011000² = 1000022000121000000
1000011001² = 1000022002121022001
1000011010² = 1000022020121220100
1000100000² = 1000200010000000000
1000100001² = 1000200012000200001
1000100100² = 1000200210020010000
1000100101² = 1000200212020210201
1000101000² = 1000202010201000000
1000101001² = 1000202012201202001
1000101100² = 1000202210221210000
1000110000² = 1000220012100000000
1000110100² = 1000220212122010000
1001000000² = 1002001000000000000
1001000001² = 1002001002002000001
1001000010² = 1002001020020000100
1001000011² = 1002001022022000121
1001000100² = 1002001200200010000
1001000101² = 1002001202202010201
1001000110² = 1002001220220012100
1001010000² = 1002021020100000000
1001010001² = 1002021022102020001
1001100000² = 1002201210000000000
1001100001² = 1002201212002200001
1001100276² = 1002201762607276176
1010000000² = 1020100000000000000
1010000001² = 1020100002020000001
1010000010² = 1020100020200000100
1010000011² = 1020100022220000121
1010000100² = 1020100202000010000
1010000110² = 1020100222200012100
1010001000² = 1020102020001000000
1010001001² = 1020102022021002001
1010001100² = 1020102222001210000
1010010000² = 1020120200100000000
1010010001² = 1020120202120020001
1010011000² = 1020122220121000000
1011000000² = 1022121000000000000
1011000001² = 1022121002022000001
1011000010² = 1022121020220000100
1011000100² = 1022121202200010000
1011077261² = 1022277227711262121
1011272276² = 1022671616206220176
1077600000² = 1161221760000000000
1077776000² = 1161601106176000000
1100000000² = 1210000000000000000
1100000001² = 1210000002200000001
1100000010² = 1210000022000000100
1100000100² = 1210000220000010000
1100000101² = 1210000222200010201
1100000276² = 1210000607200076176
1100000776² = 1210001707200602176
1100001000² = 1210002200001000000
1100001001² = 1210002202201002001
1100001010² = 1210002222001020100
1100002760² = 1210006072007617600
1100002776² = 1210006107207706176
1100007760² = 1210017072060217600
1100010000² = 1210022000100000000
1100010010² = 1210022022100200100
1100010100² = 1210022220102010000
1100027600² = 1210060720761760000
1100027760² = 1210061072770617600
1100077600² = 1210170726021760000
1100100000² = 1210220010000000000
1100100001² = 1210220012200200001
1100101000² = 1210222210201000000
1100122726² = 1210270012261671076
1100276000² = 1210607276176000000
1101000000² = 1212201000000000000
1101000001² = 1212201002202000001
1101000010² = 1212201022020000100
1101000100² = 1212201220200010000
1101227600² = 1212702227001760000
1107600000² = 1226777760000000000
1107776000² = 1227167666176000000
1107777600² = 1227171211061760000
1271260110² = 1616102267277212100
1617610000² = 2616662112100000000
1621011000² = 2627676662121000000
1661706100² = 2761267162777210000
1661706101² = 2761267166100622201
1661707261² = 2761271021260122121
2600000000² = 6760000000000000000
2600206101² = 6761071767677622201
2660206761² = 7076700011270111121
2666772600² = 7111676100110760000
2667606076² = 7116122176712117776
2667726000² = 7116762011076000000
2677070726² = 7166707672006167076
2677260000² = 7167721107600000000
2677726100² = 7170217066621210000
2760000000² = 7617600000000000000
2760000011² = 7617600060720000121
2760000110² = 7617600607200012100
2760001100² = 7617606072001210000
2760011000² = 7617660720121000000
2776000000² = 7706176000000000000
2776000011² = 7706176061072000121
2776000110² = 7706176610720012100
2776006261² = 7706210761111200121
7760000000² = 60217600000000000000
7760000011² = 60217600170720000121
7760000110² = 60217601707200012100
7760001100² = 60217617072001210000
7760011000² = 60217770720121000000
7760610260² = 60227071607617267600
7762777600² = 60260716067061760000
10000000000² = 100000000000000000000
10000000001² = 100000000020000000001
10000000010² = 100000000200000000100
10000000011² = 100000000220000000121
10000000100² = 100000002000000010000
10000000101² = 100000002020000010201
10000000110² = 100000002200000012100
10000001000² = 100000020000001000000
10000001001² = 100000020020001002001
10000001010² = 100000020200001020100
10000001011² = 100000020220001022121
10000001100² = 100000022000001210000
10000001101² = 100000022020001212201
10000010000² = 100000200000100000000
10000010001² = 100000200020100020001
10000010010² = 100000200200100200100
10000010011² = 100000200220100220121
10000010100² = 100000202000102010000
10000010110² = 100000202200102212100
10000011000² = 100000220000121000000
10000011001² = 100000220020121022001
10000011010² = 100000220200121220100
10000100000² = 100002000010000000000
10000100010² = 100002000210002000100
10000100100² = 100002002010020010000
10000100110² = 100002002210022012100
10000101000² = 100002020010201000000
10000101100² = 100002022010221210000
10000110000² = 100002200012100000000
10000110010² = 100002200212102200100
10000110100² = 100002202012122010000
10001000000² = 100020001000000000000
10001000001² = 100020001020002000001
10001000010² = 100020001200020000100
10001000011² = 100020001220022000121
10001001000² = 100020021002001000000
10001001010² = 100020021202021020100
10001010000² = 100020201020100000000
10001010010² = 100020201220120200100
10001011000² = 100020221022121000000
10001100000² = 100022001210000000000
10001101000² = 100022021212201000000
10010000000² = 100200100000000000000
10010000001² = 100200100020020000001
10010000010² = 100200100200200000100
10010000011² = 100200100220220000121
10010000100² = 100200102002000010000
10010000101² = 100200102022020010201
10010000110² = 100200102202200012100
10010001000² = 100200120020001000000
10010001010² = 100200120220201020100
10010001100² = 100200122022001210000
10010100000² = 100202102010000000000
10010100010² = 100202102210202000100
10011000000² = 100220121000000000000
10011000001² = 100220121020022000001
10011000010² = 100220121200220000100
10011002760² = 100220176260727617600
10100000000² = 102010000000000000000
10100000001² = 102010000020200000001
10100000010² = 102010000202000000100
10100000011² = 102010000222200000121
10100000100² = 102010002020000010000
10100000110² = 102010002222000012100
10100001000² = 102010020200001000000
10100001001² = 102010020220201002001
10100001100² = 102010022220001210000
10100010000² = 102010202000100000000
10100010010² = 102010202202100200100
10100011000² = 102010222200121000000
10100100000² = 102012020010000000000
10100100010² = 102012020212002000100
10100110000² = 102012222012100000000
10110000000² = 102212100000000000000
10110000001² = 102212100020220000001
10110000010² = 102212100202200000100
10110000100² = 102212102022000010000
10110001000² = 102212120220001000000
10110001101² = 102212122262221212201
10110772610² = 102227722771126212100
10112722760² = 102267161620622017600
10616601011² = 112712217026766222121
10771107776² = 116016762722207666176
10776000000² = 116122176000000000000
10776210011² = 116126702201176620121
10777760000² = 116160110617600000000
11000000000² = 121000000000000000000
11000000001² = 121000000022000000001
11000000010² = 121000000220000000100
11000000100² = 121000002200000010000
11000000101² = 121000002222000010201
11000000276² = 121000006072000076176
11000000776² = 121000017072000602176
11000001000² = 121000022000001000000
11000001001² = 121000022022001002001
11000001010² = 121000022220001020100
11000002760² = 121000060720007617600
11000002776² = 121000061072007706176
11000007760² = 121000170720060217600
11000010000² = 121000220000100000000
11000010001² = 121000220022100020001
11000010010² = 121000220220100200100
11000010100² = 121000222200102010000
11000027600² = 121000607200761760000
11000027760² = 121000610720770617600
11000077600² = 121001707206021760000
11000100000² = 121002200010000000000
11000100100² = 121002202210020010000
11000101000² = 121002222010201000000
11000276000² = 121006072076176000000
11000277600² = 121006107277061760000
11000776000² = 121017072602176000000
11001000000² = 121022001000000000000
11001000001² = 121022001022002000001
11001000010² = 121022001220020000100
11001010000² = 121022221020100000000
11001010011² = 121022221262122220121
11001210011² = 121026621706126620121
11001227260² = 121027001226167107600
11002760000² = 121060727617600000000
11010000000² = 121220100000000000000
11010000001² = 121220100022020000001
11010000010² = 121220100220200000100
11010000100² = 121220102202000010000
11010001000² = 121220122020001000000
11010001011² = 121220122262221022121
11012276000² = 121270222700176000000
11076000000² = 122677776000000000000
11077760000² = 122716766617600000000
11077776000² = 122717121106176000000
12712601100² = 161610226727721210000
12712700776² = 161612761020111002176
16127616261² = 260100006262071620121
16176100000² = 261666211210000000000
16210110000² = 262767666212100000000
16617061000² = 276126716277721000000
16617061010² = 276126716610062220100
16617072610² = 276127102126012212100
16661670601² = 277611267216227701201
26000000000² = 676000000000000000000
26002061010² = 676107176767762220100
26012700776² = 676660601661711002176
26602067610² = 707670001127011112100
26602661761² = 707701612770171621121
26667726000² = 711167610011076000000
26676060760² = 711612217671211777600
26677260000² = 711676201107600000000
26677277261² = 711677122060267662121
26770707260² = 716670767200616707600
26772600000² = 716772110760000000000
26777261000² = 717021706662121000000
27600000000² = 761760000000000000000
27600000011² = 761760000607200000121
27600000110² = 761760006072000012100
27600001100² = 761760060720001210000
27600011000² = 761760607200121000000
27600110000² = 761766072012100000000
27616612061² = 762677261727770667721
27760000000² = 770617600000000000000
27760000011² = 770617600610720000121
27760000110² = 770617606107200012100
27760001100² = 770617661072001210000
27760062610² = 770621076111120012100
77600000000² = 6021760000000000000000
77600000011² = 6021760001707200000121
77600000110² = 6021760017072000012100
77600001100² = 6021760170720001210000
77600011000² = 6021761707200121000000
77600110000² = 6021777072012100000000
77606102600² = 6022707160761726760000
77627776000² = 6026071606706176000000
100000000000² = 10000000000000000000000
100000000001² = 10000000000200000000001
100000000010² = 10000000002000000000100
100000000011² = 10000000002200000000121
100000000100² = 10000000020000000010000
100000000101² = 10000000020200000010201
100000000110² = 10000000022000000012100
100000001000² = 10000000200000001000000
100000001001² = 10000000200200001002001
100000001010² = 10000000202000001020100
100000001011² = 10000000202200001022121
100000001100² = 10000000220000001210000
100000001101² = 10000000220200001212201
100000010000² = 10000002000000100000000
100000010001² = 10000002000200100020001
100000010010² = 10000002002000100200100
100000010011² = 10000002002200100220121
100000010100² = 10000002020000102010000
100000010110² = 10000002022000102212100
100000011000² = 10000002200000121000000
100000011001² = 10000002200200121022001
100000011010² = 10000002202000121220100
100000100000² = 10000020000010000000000
100000100001² = 10000020000210000200001
100000100010² = 10000020002010002000100
100000100011² = 10000020002210002200121
100000100100² = 10000020020010020010000
100000100101² = 10000020020210020210201
100000100110² = 10000020022010022012100
100000101000² = 10000020200010201000000
100000101001² = 10000020200210201202001
100000101100² = 10000020220010221210000
100000110000² = 10000022000012100000000
100000110001² = 10000022000212100220001
100000110010² = 10000022002012102200100
100000110100² = 10000022020012122010000
100001000000² = 10000200001000000000000
100001000001² = 10000200001200002000001
100001000100² = 10000200021000200010000
100001000101² = 10000200021200202010201
100001001000² = 10000200201002001000000
100001001100² = 10000200221002201210000
100001010000² = 10000202001020100000000
100001010001² = 10000202001220102020001
100001011000² = 10000202201022121000000
100001100000² = 10000220001210000000000
100001100100² = 10000220021210220010000
100001101000² = 10000220201212201000000
100010000000² = 10002000100000000000000
100010000001² = 10002000100200020000001
100010000010² = 10002000102000200000100
100010000011² = 10002000102200220000121
100010000100² = 10002000120002000010000
100010000101² = 10002000120202020010201
100010000110² = 10002000122002200012100
100010010000² = 10002002100200100000000
100010010100² = 10002002120202102010000
100010100000² = 10002020102010000000000
100010100001² = 10002020102210020200001
100010100100² = 10002020122012020010000
100010110000² = 10002022102212100000000
100010610001² = 10002122112772121220001
100011000000² = 10002200121000000000000
100011000001² = 10002200121200022000001
100011000276² = 10002200176206072076176
100011000776² = 10002200276217072602176
100011010000² = 10002202121220100000000
100100000000² = 10020010000000000000000
100100000001² = 10020010000200200000001
100100000010² = 10020010002002000000100
100100000011² = 10020010002202200000121
100100000100² = 10020010020020000010000
100100000101² = 10020010020220200010201
100100000110² = 10020010022022000012100
100100001000² = 10020010200200001000000
100100001010² = 10020010202202001020100
100100001100² = 10020010220220001210000
100100010000² = 10020012002000100000000
100100010100² = 10020012022020102010000
100100011000² = 10020012202200121000000
100101000000² = 10020210201000000000000
100101000001² = 10020210201200202000001
100101000100² = 10020210221020200010000
100110000000² = 10022012100000000000000
100110000001² = 10022012100200220000001
100110000010² = 10022012102002200000100
100110000100² = 10022012120022000010000
100110000101² = 10022012120222220010201
100110027600² = 10022017626072761760000
101000000000² = 10201000000000000000000
101000000001² = 10201000000202000000001
101000000010² = 10201000002020000000100
101000000011² = 10201000002222000000121
101000000100² = 10201000020200000010000
101000000110² = 10201000022220000012100
101000001000² = 10201000202000001000000
101000001001² = 10201000202202001002001
101000001100² = 10201000222200001210000
101000010000² = 10201002020000100000000
101000010001² = 10201002020202100020001
101000010010² = 10201002022020100200100
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