0² = 0
1² = 1
10² = 100
11² = 121
100² = 10000
101² = 10201
110² = 12100
1000² = 1000000
1001² = 1002001
1010² = 1020100
1011² = 1022121
1100² = 1210000
1101² = 1212201
10000² = 100000000
10001² = 100020001
10010² = 100200100
10011² = 100220121
10100² = 102010000
10110² = 102212100
11000² = 121000000
11001² = 121022001
11010² = 121220100
87811² = 7710771721
100000² = 10000000000
100001² = 10000200001
100010² = 10002000100
100011² = 10002200121
100100² = 10020010000
100101² = 10020210201
100110² = 10022012100
101000² = 10201000000
101001² = 10201202001
101100² = 10221210000
110000² = 12100000000
110001² = 12100220001
110010² = 12102200100
110100² = 12122010000
878110² = 771077172100
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
1100000² = 1210000000000
1100001² = 1210002200001
1100010² = 1210022000100
1100100² = 1210220010000
1100101² = 1210222210201
1101000² = 1212201000000
8781100² = 77107717210000
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
11000000² = 121000000000000
11000001² = 121000022000001
11000010² = 121000220000100
11000100² = 121002200010000
11000101² = 121002222010201
11001000² = 121022001000000
11001010² = 121022221020100
11010000² = 121220100000000
11010001² = 121220122020001
87811000² = 7710771721000000
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
110000000² = 12100000000000000
110000001² = 12100000220000001
110000010² = 12100002200000100
110000100² = 12100022000010000
110000101² = 12100022220010201
110001000² = 12100220001000000
110001001² = 12100220221002001
110001010² = 12100222201020100
110010000² = 12102200100000000
110010100² = 12102222102010000
110100000² = 12122010000000000
110100001² = 12122010220200001
110100010² = 12122012202000100
878110000² = 771077172100000000
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
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
1100000000² = 1210000000000000000
1100000001² = 1210000002200000001
1100000010² = 1210000022000000100
1100000100² = 1210000220000010000
1100000101² = 1210000222200010201
1100001000² = 1210002200001000000
1100001001² = 1210002202201002001
1100001010² = 1210002222001020100
1100010000² = 1210022000100000000
1100010010² = 1210022022100200100
1100010100² = 1210022220102010000
1100100000² = 1210220010000000000
1100100001² = 1210220012200200001
1100101000² = 1210222210201000000
1101000000² = 1212201000000000000
1101000001² = 1212201002202000001
1101000010² = 1212201022020000100
1101000100² = 1212201220200010000
8781100000² = 77107717210000000000
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
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
11000000000² = 121000000000000000000
11000000001² = 121000000022000000001
11000000010² = 121000000220000000100
11000000100² = 121000002200000010000
11000000101² = 121000002222000010201
11000001000² = 121000022000001000000
11000001001² = 121000022022001002001
11000001010² = 121000022220001020100
11000010000² = 121000220000100000000
11000010001² = 121000220022100020001
11000010010² = 121000220220100200100
11000010100² = 121000222200102010000
11000100000² = 121002200010000000000
11000100100² = 121002202210020010000
11000101000² = 121002222010201000000
11001000000² = 121022001000000000000
11001000001² = 121022001022002000001
11001000010² = 121022001220020000100
11001010000² = 121022221020100000000
11010000000² = 121220100000000000000
11010000001² = 121220100022020000001
11010000010² = 121220100220200000100
11010000100² = 121220102202000010000
11010001000² = 121220122020001000000
87811000000² = 7710771721000000000000
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
100011000000² = 10002200121000000000000
100011000001² = 10002200121200022000001
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
101000000000² = 10201000000000000000000
101000000001² = 10201000000202000000001
101000000010² = 10201000002020000000100
101000000011² = 10201000002222000000121
101000000100² = 10201000020200000010000
101000000110² = 10201000022220000012100
101000001000² = 10201000202000001000000
101000001001² = 10201000202202001002001
101000001100² = 10201000222200001210000
101000010000² = 10201002020000100000000
101000010001² = 10201002020202100020001
101000010010² = 10201002022020100200100
101000010011² = 10201002022222100220121
101000011000² = 10201002222000121000000
101000011001² = 10201002222202121022001
101000100000² = 10201020200010000000000
101000100001² = 10201020200212000200001
101000100100² = 10201020220210020010000
101000110000² = 10201022220012100000000
101001000000² = 10201202001000000000000
101001000001² = 10201202001202002000001
101001000100² = 10201202021200200010000
101001100000² = 10201222201210000000000
101100000000² = 10221210000000000000000
101100000001² = 10221210000202200000001
101100000010² = 10221210002022000000100
101100000100² = 10221210020220000010000
101100001000² = 10221210202200001000000
101100010000² = 10221212022000100000000
110000000000² = 12100000000000000000000
110000000001² = 12100000000220000000001
110000000010² = 12100000002200000000100
110000000100² = 12100000022000000010000
110000000101² = 12100000022220000010201
110000001000² = 12100000220000001000000
110000001001² = 12100000220220001002001
110000001010² = 12100000222200001020100
110000010000² = 12100002200000100000000
110000010001² = 12100002200220100020001
110000010010² = 12100002202200100200100
110000010100² = 12100002222000102010000
110000100000² = 12100022000010000000000
110000100010² = 12100022002210002000100
110000100100² = 12100022022010020010000
110000101000² = 12100022220010201000000
110001000000² = 12100220001000000000000
110001000001² = 12100220001220002000001
110001001000² = 12100220221002001000000
110001010000² = 12100222201020100000000
110010000000² = 12102200100000000000000
110010000001² = 12102200100220020000001
110010000010² = 12102200102200200000100
110010000100² = 12102200122002000010000
110010000101² = 12102200122222020010201
110010100000² = 12102222102010000000000
110100000000² = 12122010000000000000000
110100000001² = 12122010000220200000001
110100000010² = 12122010002202000000100
110100000100² = 12122010022020000010000
110100001000² = 12122010220200001000000
110100010000² = 12122012202000100000000
878001780811² = 770887127107287287817721
878110000000² = 771077172100000000000000
1000000000000² = 1000000000000000000000000
1000000000001² = 1000000000002000000000001
1000000000010² = 1000000000020000000000100
1000000000011² = 1000000000022000000000121
1000000000100² = 1000000000200000000010000
1000000000101² = 1000000000202000000010201
1000000000110² = 1000000000220000000012100
1000000001000² = 1000000002000000001000000
1000000001001² = 1000000002002000001002001
1000000001010² = 1000000002020000001020100
1000000001011² = 1000000002022000001022121
1000000001100² = 1000000002200000001210000
1000000001101² = 1000000002202000001212201
1000000010000² = 1000000020000000100000000
1000000010001² = 1000000020002000100020001
1000000010010² = 1000000020020000100200100
1000000010011² = 1000000020022000100220121
1000000010100² = 1000000020200000102010000
1000000010110² = 1000000020220000102212100
1000000011000² = 1000000022000000121000000
1000000011001² = 1000000022002000121022001
1000000011010² = 1000000022020000121220100
1000000100000² = 1000000200000010000000000
1000000100001² = 1000000200002010000200001
1000000100010² = 1000000200020010002000100
1000000100011² = 1000000200022010002200121
1000000100100² = 1000000200200010020010000
1000000100101² = 1000000200202010020210201
1000000100110² = 1000000200220010022012100
1000000101000² = 1000000202000010201000000
1000000101001² = 1000000202002010201202001
1000000101100² = 1000000202200010221210000
1000000110000² = 1000000220000012100000000
1000000110001² = 1000000220002012100220001
1000000110010² = 1000000220020012102200100
1000000110100² = 1000000220200012122010000
1000001000000² = 1000002000001000000000000
1000001000010² = 1000002000021000020000100
1000001000100² = 1000002000201000200010000
1000001000110² = 1000002000221000220012100
1000001001000² = 1000002002001002001000000
1000001001010² = 1000002002021002021020100
1000001001100² = 1000002002201002201210000
1000001010000² = 1000002020001020100000000
1000001010010² = 1000002020021020120200100
1000001011000² = 1000002022001022121000000
1000001100000² = 1000002200001210000000000
1000001100010² = 1000002200021210022000100
1000001100100² = 1000002200201210220010000
1000001101000² = 1000002202001212201000000
1000010000000² = 1000020000100000000000000
1000010000001² = 1000020000102000020000001
1000010000010² = 1000020000120000200000100
1000010000011² = 1000020000122000220000121
1000010001000² = 1000020002100020001000000
1000010001001² = 1000020002102020021002001
1000010001010² = 1000020002120020201020100
1000010001011² = 1000020002122020221022121
1000010010000² = 1000020020100200100000000
1000010010001² = 1000020020102200120020001
1000010011000² = 1000020022100220121000000
1000010100000² = 1000020200102010000000000
1000010100010² = 1000020200122010202000100
1000010110000² = 1000020220102212100000000
1000011000000² = 1000022000121000000000000
1000011001000² = 1000022002121022001000000
1000011010000² = 1000022020121220100000000
1000100000000² = 1000200010000000000000000
1000100000001² = 1000200010002000200000001
1000100000010² = 1000200010020002000000100
1000100000011² = 1000200010022002200000121
1000100000100² = 1000200010200020000010000
1000100000101² = 1000200010202020200010201
1000100000110² = 1000200010220022000012100
1000100001000² = 1000200012000200001000000
1000100001001² = 1000200012002200201002001
1000100001010² = 1000200012020202001020100
1000100001011² = 1000200012022202201022121
1000100001100² = 1000200012200220001210000
1000100001101² = 1000200012202220201212201
1000100100000² = 1000200210020010000000000
1000100100001² = 1000200210022010200200001
1000100101000² = 1000200212020210201000000
1000101000000² = 1000202010201000000000000
1000101000010² = 1000202010221002020000100
1000101001000² = 1000202012201202001000000
1000101100000² = 1000202210221210000000000
1000110000000² = 1000220012100000000000000
1000110000001² = 1000220012102000220000001
1000110000010² = 1000220012120002200000100
1000110100000² = 1000220212122010000000000
1001000000000² = 1002001000000000000000000
1001000000001² = 1002001000002002000000001
1001000000010² = 1002001000020020000000100
1001000000011² = 1002001000022022000000121
1001000000100² = 1002001000200200000010000
1001000000101² = 1002001000202202000010201
1001000000110² = 1002001000220220000012100
1001000001000² = 1002001002002000001000000
1001000001010² = 1002001002022020001020100
1001000001100² = 1002001002202200001210000
1001000010000² = 1002001020020000100000000
1001000010001² = 1002001020022002100020001
1001000010100² = 1002001020220200102010000
1001000011000² = 1002001022022000121000000
1001000100000² = 1002001200200010000000000
1001000100001² = 1002001200202012000200001
1001000101000² = 1002001202202010201000000
1001000110000² = 1002001220220012100000000
1001010000000² = 1002021020100000000000000
1001010000001² = 1002021020102002020000001
1001010000010² = 1002021020120020200000100
1001010000011² = 1002021020122022220000121
1001010001000² = 1002021022102020001000000
1001100000000² = 1002201210000000000000000
1001100000001² = 1002201210002002200000001
1001100000010² = 1002201210020022000000100
1001100000100² = 1002201210200220000010000
1001100000101² = 1002201210202222200010201
1001100001000² = 1002201212002200001000000
1001100001010² = 1002201212022222001020100
1010000000000² = 1020100000000000000000000
1010000000001² = 1020100000002020000000001
1010000000010² = 1020100000020200000000100
1010000000011² = 1020100000022220000000121
1010000000100² = 1020100000202000000010000
1010000000110² = 1020100000222200000012100
1010000001000² = 1020100002020000001000000
1010000001001² = 1020100002022020001002001
1010000001100² = 1020100002222000001210000
1010000010000² = 1020100020200000100000000
1010000010001² = 1020100020202020100020001
1010000010010² = 1020100020220200100200100
1010000010011² = 1020100020222220100220121
1010000011000² = 1020100022220000121000000
1010000011001² = 1020100022222020121022001
1010000100000² = 1020100202000010000000000
1010000100010² = 1020100202020210002000100
1010000100100² = 1020100202202010020010000
1010000100110² = 1020100202222210022012100
1010000110000² = 1020100222200012100000000
1010000110010² = 1020100222220212102200100
1010001000000² = 1020102020001000000000000
1010001000010² = 1020102020021200020000100
1010001001000² = 1020102022021002001000000
1010001100000² = 1020102222001210000000000
1010010000000² = 1020120200100000000000000
1010010000001² = 1020120200102020020000001
1010010000010² = 1020120200120200200000100
1010010000011² = 1020120200122220220000121
1010010001000² = 1020120202120020001000000
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1127021787811² = 1270178110200702708171721
2877170801101² = 8278111818708170102812201
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10000000010011² = 100000000200220000100220121
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277708070102811² = 77121772200227788780110101721
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