TopCoder Statistics - Problem Statement

Problem Statement

Two primes are called adjacent if they have the same number of digits and they only differ in one of them. For example, 103 and 113 are adjacent primes, as they only differ in the tens digit. The primes 113 and 131 are not adjacent: you need to change two digits of 113 to get 131.

In this problem your task is to transform one prime into another. You have to do this in a sequence of zero or more steps, and in each step you can change the prime you have into an adjacent prime.

You are given the int[]s source and target. Each of them contains exactly i prime numbers. Return a String with N characters. Character i of the return value should be '1' if you can transform source[i] into target[i], and '0' if you cannot.

Definition

Class:: PrimeAlters
Method:: isReachable
Parameters:: int[], int[]
Returns:: String
Method signature:: String isReachable(int[] source, int[] target)
(be sure your method is public)

Notes

The number 1 is not a prime number. The one-digit primes are only 2, 3, 5, and 7.
You are not allowed to change the leading digit of a prime into a zero.

Constraints

N will be between 1 and 200, inclusive.
source and target will have N elements each.
Each element of source and target will be between 2 and 99,999,999, inclusive.
Each element of source and target will be a prime number.
For each i, source[i] and target[i] will have the same number of digits.

Examples

{2, 17, 11, 98240249}

{7, 47, 47, 98240249}

Returns: "1111"

We can directly turn 2 into 7. We can also directly turn 17 into 47 by changing the tens digit from 1 to 4. We can change 11 into 47 using multiple consecutive steps. The two shortest solutions are 11 -> 17 -> 47 and 11 -> 41 -> 47. If the source and the target are equal, we don't need any steps.
{294001, 100003}

{100003, 100003}

Returns: "01"

There is no valid way to turn source[0] into target[0].
{7331, 72652729}

{8219, 28794281}

Returns: "11"

7331 -> 7351 -> 7451 -> 7411 -> 7211 -> 7219 -> 8219 72652729 -> 72652799 -> 72652999 -> 72656999 -> 92656999 -> 92696999 -> 92696939 -> 92696239 -> 92796239 -> 22796239 -> 28796239 -> 28796231 -> 28796281 -> 28794281
{2, 2, 3, 3}

{2, 3, 3, 2}

Returns: "1111"
{59908397, 99473021, 74785357, 10389803, 50890967, 60181831, 15337303, 30399739, 27313183, 55112053, 82351627, 21036721, 99103379, 80674207, 68784827, 36296699, 11720389, 60348193, 31128701, 82976143, 64069561, 59610611, 11418331, 84167417, 10539251, 99287579, 41290817, 65829527, 15364289, 65406307, 52153601, 65804257, 64889197, 88616681, 36107789, 17548757, 49137797, 41812613, 99586583, 37497403, 58210613, 81940981, 19803841, 57338851, 32838391, 79557403, 85484219, 34684501, 11646517, 77467051, 78703267, 65902841, 99000619, 80298539, 20976937, 99615731, 79593131, 53022731, 35349857, 85575403, 20038411, 48670187, 22184231, 75875411, 37772857, 49026833, 53598401, 48119957, 52101547, 53196851, 77290219, 12525463, 96914197, 88127729, 30213707, 29945561, 37661849, 76502809, 25920217, 39435173, 24678553, 96169819, 66583351, 23756371, 46067839, 78602197, 83653223, 26682653, 32495171, 80074409, 72860033, 43110299, 29658443, 55550029, 80377289, 28669393, 65990621, 95746031, 37877093, 19717553, 49095703, 16663307, 82512581, 16870493, 64672733, 14103361, 37206619, 94410103, 50513797, 24387817, 95105221, 66295367, 20864773, 61803361, 81296143, 57747853, 41053157, 35064257, 45337081, 64840129, 16519999, 79651133, 69297391, 97646443, 35958437, 20644837, 86956351, 93958817, 16773893, 25604573, 73708513, 26676977, 93460099, 26783693, 33889469, 58292257, 31107529, 32335781, 23265691, 73064093, 47477323, 18778967, 40089649, 29301091, 71407283, 82669549, 78534793, 73764217, 78792167, 85348873, 10532603, 86044139, 65200309, 39640963, 53076103, 62295377, 51000211, 40525187, 26650763, 28519259, 57107033, 91909183, 45934123, 21268927, 19321229, 71297803, 40271479, 12013189, 95527591, 54398347, 44909717, 14111051, 33886649, 46235351, 33653953, 66344513, 90439171, 73196159, 11890343, 69361711, 58818239, 12428051, 25978501, 85743607, 42269137, 70270147, 48442307, 54551551, 72082937, 66268831, 74454763, 90973559, 28524689, 21745357, 13089743, 38323631, 53543449, 43609859, 11593607, 19801123}

{91754731, 82031813, 69947519, 84632461, 99747409, 35380559, 98859689, 71417441, 99253267, 99580447, 73541203, 99735919, 84415151, 45526469, 77223481, 77914147, 96852461, 91754731, 50607307, 99724309, 50431883, 85096057, 73227589, 73227589, 35222413, 58878431, 99414499, 99747409, 50852173, 24558823, 97418443, 90715753, 35456053, 99747409, 97711247, 99747409, 84632461, 88488821, 74601367, 82143227, 48979481, 24558823, 93400733, 73227589, 24558823, 88672531, 76168171, 50246699, 20895793, 23080049, 67925189, 83127383, 44956151, 64913047, 73541203, 61129261, 82880069, 48156989, 79187191, 91754731, 75857669, 97418443, 99735919, 31144279, 55238279, 63405347, 88457669, 99735919, 48120419, 48120419, 50852173, 83381357, 82190629, 63435511, 99735919, 72567049, 85371457, 98741551, 99747409, 91754731, 99735919, 58878431, 88338269, 46844869, 55478641, 99747409, 96339931, 64469501, 84951689, 63405347, 23971159, 84221647, 67766857, 43493893, 67141091, 99747409, 99747409, 73227589, 83433821, 44586527, 31150277, 24558823, 93301249, 81487141, 78753977, 93985553, 48979481, 46151177, 75705853, 99724309, 44586527, 87689543, 84632461, 99747409, 99724309, 95158411, 22361219, 99747409, 33140819, 46151177, 24558823, 63405347, 83726659, 76157527, 73227589, 75539759, 14015173, 38584103, 87227317, 98741551, 88214387, 88338269, 19571611, 63405347, 25752731, 99747409, 48979481, 44586527, 49828829, 25752731, 82682641, 92559703, 85096057, 24558823, 87858961, 98741551, 63405347, 48156989, 62928953, 91454021, 47378147, 10509677, 49444523, 97711247, 91754731, 24558823, 20895793, 99747409, 98741551, 69055837, 89046829, 82488979, 48156989, 99747409, 84632461, 69976927, 91754731, 53768597, 24558823, 56837219, 99724309, 97660243, 84632461, 85976797, 99747409, 17461657, 82880069, 28847867, 58878431, 82880069, 46991677, 28873193, 44586527, 24558823, 48156989, 91165313, 37995653, 99747409, 93301249, 44586527, 95970089, 14015173, 84632461, 73227589, 21130111, 24558823, 24558823, 87417481, 40709209, 48156989}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{72652729, 72652729, 89391959, 89591959, 99954053, 99954053, 89391959, 89591959, 89391959, 89591959, 89391959, 89591959}

{89391959, 89591959, 72652729, 72652729, 89391959, 89591959, 99954053, 99954053, 89591959, 89391959, 89391959, 89591959}

Returns: "000000001111"
{30809, 7, 3, 199, 371453, 50459, 113, 151, 17609, 241, 836881, 5689, 329671, 3905879, 135277, 397, 67, 36973, 25685839, 44843, 6159451, 17, 9878773, 881, 87257, 132329, 2, 2, 38178211, 428629, 6247897, 9091, 3, 6488767, 5316007, 5, 123289, 2, 928163, 12162649, 294001, 419, 8521, 54038609, 2351, 1367, 3, 93292061, 51640367, 2, 7, 137, 8951, 4608743, 743, 41, 95107, 97, 9769, 3562093, 3645307, 19, 7, 929573, 161923, 27425521, 541, 608383, 610733, 17425847, 369821, 57653, 307, 6733, 6841, 2381, 3, 63533, 19991, 13, 3, 4762039, 7204777, 17544563, 4694663, 78712681, 69956273, 53, 98727899, 89843581, 4597, 971767, 2663, 193, 2, 2, 55903, 1381769, 5867, 56931947, 5, 4643, 604171, 4658791, 3, 9873439, 7, 3547, 17, 7321, 6180497, 294001, 73, 1246339, 37, 19231, 8538611, 2, 61363157, 831731, 97, 613, 99023, 3, 9008243, 241, 853, 66491329, 173, 4360457, 6460691, 43, 2179, 5982329, 86053901, 534971, 46451, 604171, 807707, 91081, 142019, 5181679, 1925653, 4153, 61, 3, 5, 934259, 2719, 61, 97, 81608981, 173, 3605221, 3923, 2, 479, 43, 584141, 1123, 89, 5, 479, 32296919, 5, 63337, 29796367, 389, 2, 7, 9151, 5, 5, 5, 353, 584141, 5, 801371, 4621, 39343, 27421871, 863, 46589, 223, 5, 2, 508223, 581701, 7, 3082087, 11, 449, 5, 497899, 5641, 3, 127, 43, 5483, 82549}

{32887, 5, 2, 499, 990523, 63541, 709, 229, 74177, 701, 135697, 8059, 436081, 6236179, 147613, 131, 79, 25819, 73597939, 27689, 9703849, 19, 8470309, 457, 23339, 441787, 7, 5, 68241479, 294001, 7684819, 2027, 3, 1977551, 1097189, 2, 513083, 2, 339517, 79534607, 462557, 641, 9661, 92685349, 5953, 8597, 7, 92743969, 98917859, 7, 2, 653, 8501, 1524181, 463, 73, 52627, 19, 4019, 7858771, 1754461, 67, 3, 492007, 274693, 27465103, 659, 704983, 155797, 29136091, 743339, 48091, 997, 7321, 7187, 6029, 7, 62201, 16529, 71, 5, 6106609, 2290459, 25187189, 2109617, 35954509, 83751359, 43, 87502843, 58107953, 1879, 202877, 3967, 523, 2, 7, 48023, 7672507, 8123, 60255383, 7, 8893, 910523, 8898283, 2, 2474431, 2, 6317, 89, 4967, 7301563, 315467, 41, 3817391, 37, 65557, 3871499, 5, 81819967, 654127, 13, 829, 74231, 5, 4550501, 971, 997, 82817039, 929, 9106481, 1613323, 19, 1303, 9663683, 60661897, 824947, 67187, 176549, 727201, 16223, 194869, 9537371, 9855049, 5261, 41, 7, 2, 627559, 9431, 31, 19, 33960331, 113, 8683013, 6203, 2, 233, 61, 998737, 3847, 19, 3, 461, 17184329, 5, 87407, 58091653, 863, 7, 7, 6857, 2, 5, 2, 461, 479639, 7, 820541, 8167, 28219, 51529987, 607, 68683, 103, 5, 3, 131489, 294001, 5, 3085553, 47, 619, 7, 717511, 3109, 2, 137, 83, 5441, 77867}

Returns: "11111111111110111111111111110011111111110111111111111011111011101011101111111111110110111010111111111101101111101111110111111110111110111011101111111110111111011111110111111110111111111110101111111111"
{683, 6211, 61, 417331, 73, 881, 6871, 92110463, 971767, 491, 60037, 67, 56629, 241, 7457, 53, 109, 41966773, 363731, 79, 7583, 4543993, 9391, 73607, 8485409, 7806493, 51109441, 11, 60949807, 4393139, 5, 2, 6236179, 11, 331, 34349969, 86407393, 359, 227459, 2963, 16097, 439007, 7, 5507, 599, 2, 2593, 5, 223849, 464617, 20269, 251539, 63689, 8363, 3, 97, 5, 41, 65420917, 50989, 37, 555661, 67, 6719, 3821407, 17447863, 264443, 283, 19035127, 9231479, 97, 843289, 719, 6324469, 419, 387197, 2, 499, 919, 2539, 17477, 812129, 33051769, 7, 181, 5443, 8016257, 631, 35381, 49603, 1069, 7187, 97, 7, 7, 941, 5285767, 7, 29, 6401477, 22012267, 56732941, 6151, 941, 11, 60917, 2, 2262269, 2, 63629767, 1567, 7810223, 661, 8392597, 50023, 41, 272539, 20123, 3907, 66103, 7469797, 6119107, 1949, 15073, 6199, 5839, 3326489, 2707, 3, 6269, 93241, 97, 32067187, 5, 17, 79, 31, 859, 97, 829789, 9530699, 41897, 181, 26607799, 2, 601, 57349, 89, 401, 7, 769, 74297, 2, 491, 94603, 8681, 46477, 2663, 5, 20164931, 251, 40637, 49831, 5021, 5011, 1314101, 839, 401, 97, 3, 10141, 6356737, 2837867, 751, 2, 101, 805843, 61, 93491, 1447, 1949201, 7, 643, 6779, 929573, 59, 3, 4871, 14083, 482641, 509, 47, 80071, 7, 1847, 34123, 727, 17, 25768091, 1254577}

{467, 5573, 67, 647509, 17, 449, 3301, 25160903, 222679, 941, 70979, 71, 17029, 257, 8293, 89, 487, 12393659, 604171, 29, 2377, 8223577, 3691, 34807, 2140447, 6218117, 31375987, 13, 64355719, 4537069, 5, 3, 7502723, 73, 797, 60670387, 85588649, 167, 741283, 6733, 33377, 454151, 2, 7757, 523, 2, 5861, 5, 484439, 644197, 34351, 237071, 65687, 4099, 3, 83, 5, 19, 53454589, 99523, 11, 844717, 19, 3373, 9915791, 61575539, 929573, 653, 15804031, 1776277, 53, 958501, 953, 2690201, 911, 971767, 3, 947, 761, 3307, 12391, 224401, 59088739, 7, 571, 9277, 6198331, 571, 89909, 34843, 2207, 2423, 17, 3, 3, 439, 2051839, 2, 31, 4148891, 62276047, 76777009, 4073, 661, 97, 47017, 7, 6166999, 3, 25268527, 3037, 6099389, 347, 8090057, 19081, 29, 484171, 67499, 6199, 41351, 9625207, 6463267, 3617, 63533, 1901, 2711, 8120491, 5503, 7, 9719, 24551, 41, 22138349, 5, 37, 37, 79, 991, 47, 604171, 1634117, 46807, 251, 25253369, 7, 337, 50591, 31, 487, 2, 181, 45779, 5, 619, 56503, 7589, 84181, 7229, 5, 16146331, 487, 87443, 46511, 5923, 6733, 6584503, 223, 881, 59, 7, 15193, 9688141, 6573689, 659, 5, 617, 590647, 61, 69929, 7717, 9071597, 2, 467, 4729, 552137, 29, 2, 2339, 93601, 522251, 373, 11, 89137, 3, 3623, 31531, 887, 61, 97982923, 8759287}

Returns: "11111111011111111101111111110011011011111111111111111111110111111001111110101111110111111111111101111111111111101011111100111101111101111110111111111111111111111111111111111111111111110111111111111101"
{39241, 571, 338237, 22193, 1217309, 30328913, 7810223, 962447, 7, 56131, 38729473, 933067, 5, 1596121, 39233, 83, 3, 17191, 98478307, 472393, 53, 6323, 45915461, 193, 56993, 193723, 811, 607, 47417, 929573, 3, 49207, 97, 5638229, 53, 401, 2, 479861, 830041, 7817, 9663683, 241, 99733, 7979201, 3070663, 2, 584141, 6712591, 1913, 79, 60496231, 9663683, 9293, 17, 11382353, 317, 7353481, 4423, 63607043, 5, 2543, 20443, 8647, 178487, 7858771, 9371, 577, 2, 149, 7, 7, 5, 713227, 947, 23, 27733, 58139633, 95517517, 2087689, 5, 24889, 2, 7802659, 4983707, 3, 677, 142537, 52643597, 3319, 2690201, 480287, 344959, 967, 47, 71, 78193, 7, 9043, 7351777, 2, 334057, 23, 9851, 956119, 967, 181777, 8765371, 8312321, 761, 13, 5881, 523, 71, 9262697, 89, 17, 1887029, 433, 971767, 6166049, 82889, 7, 3, 97, 2, 2853443, 11069, 47, 42367933, 47, 43, 947, 43, 761, 25951, 28387, 509, 11, 986207, 147859, 89, 401, 41659, 73, 280463, 886667, 821, 71856821, 2, 3, 34829909, 282103, 3, 43, 9377, 167, 31, 71, 37, 2, 6277, 503, 461693, 8681, 479, 58111, 2, 7, 59, 647, 7, 83, 389, 28901, 73, 71, 89, 5507, 274961, 81265853, 697441, 907, 599, 359, 610327, 983, 2731, 5047171, 40312603, 56128739, 40890917, 89, 61, 2459, 39600559, 3257413, 6949097, 7, 34261, 491593}

{37441, 359, 549701, 89381, 1514599, 19233449, 8917159, 778913, 2, 13313, 54191399, 444793, 3, 5565323, 44483, 29, 3, 40163, 95127089, 945577, 61, 4721, 54418669, 193, 93491, 149119, 107, 107, 53831, 290659, 3, 36913, 73, 2436407, 47, 643, 7, 616361, 208891, 4513, 1576483, 151, 58613, 2262313, 6939817, 3, 929573, 8532761, 8231, 89, 43509143, 6762979, 6863, 59, 36438379, 757, 6432331, 8599, 23839411, 7, 4931, 74869, 8737, 154111, 7871063, 9221, 277, 5, 311, 3, 2, 3, 177323, 809, 23, 87767, 21281479, 62007641, 7979893, 7, 15413, 7, 6137279, 5480639, 7, 491, 929573, 75184763, 6299, 1282529, 714911, 501197, 109, 47, 43, 61751, 5, 4073, 9016079, 2, 325673, 13, 7019, 872269, 647, 785357, 4437877, 5994707, 241, 11, 8867, 617, 23, 2017963, 79, 89, 6236179, 149, 584141, 7842059, 51449, 3, 3, 13, 3, 2860523, 67343, 29, 99041179, 79, 79, 877, 59, 797, 13681, 24019, 139, 31, 105913, 521669, 61, 433, 63689, 47, 841157, 294001, 199, 59816347, 7, 7, 18026653, 470417, 3, 23, 6073, 557, 11, 83, 79, 7, 2797, 631, 556043, 6089, 139, 93983, 3, 5, 97, 659, 2, 59, 347, 55547, 17, 17, 11, 1567, 851251, 88117961, 729329, 523, 409, 101, 968021, 719, 3307, 3617069, 92524709, 24003853, 15049733, 11, 11, 5333, 80994047, 6683293, 1254661, 3, 30517, 825109}

Returns: "11111101111111111111111111111011111111110111010011001101111111110111111111110011111111011011111111011111111111111011010111111111011111111111111110101111111111111111111111111111111111111111111111011111"
{5, 653, 419, 3253, 3917, 29, 43, 73, 5333117, 8101117, 9462571, 9413, 1369759, 6947, 7148737, 84589, 44051893, 2882179, 8741, 986147, 67, 2729, 201493, 52081, 421, 4639871, 787, 929573, 2, 9697, 3, 16920251, 61395181, 1460483, 70710421, 1336963, 31, 9528223, 61099, 2, 8168161, 2686709, 7, 89819413, 4517911, 52561, 3673741, 2, 7204777, 8527, 17, 719, 3607969, 82891, 281, 9016079, 5943583, 79716061, 97, 5, 2, 88117, 3656833, 3, 786659, 79, 379, 584141, 5987, 2113, 624163, 7858771, 7, 317, 7, 19, 294001, 32162791, 9029, 383, 5998627, 60913, 74897, 6791563, 53, 110251, 11, 5023, 29, 5101, 24364597, 733639, 946741, 2404333, 65314439, 174197, 69375203, 505447, 82067, 7, 5, 61, 5449001, 4118489, 8161, 56242891, 887, 3673, 2027, 54541, 647, 3581, 20599, 9699211, 71, 503, 8811749, 31546813, 2482111, 3803, 3, 5, 2, 14876387, 971767, 5, 7427053, 380329, 68879, 43991, 127, 9733, 3, 35673679, 6252709, 43414669, 664693, 6143, 9739, 6619, 353, 3, 2, 15719887, 9312817, 7998547, 460301, 2089, 366439, 3, 8629, 751, 25120937, 3572963, 215087, 9902567, 883, 2690201, 40009741, 48934883, 4150243, 7457, 73, 3839203, 137, 491, 43273457, 6173731, 103, 748487, 505447, 3970273, 5827, 4580699, 7, 131, 773, 839, 5179, 311237, 71, 95027, 223, 7, 50952137, 2, 593, 805811, 97, 2, 5285767, 49515707, 4584113, 271, 5, 191, 9343, 42577, 853, 821}

{5, 419, 797, 2477, 2377, 61, 41, 41, 8353427, 6865657, 1726957, 8263, 8114531, 9941, 6567641, 16729, 46662299, 2650057, 7879, 826753, 37, 2239, 930481, 60217, 229, 9677309, 433, 355463, 2, 9601, 2, 30020251, 23090423, 3158401, 42028367, 7982543, 79, 6173731, 62351, 5, 9097003, 6004333, 5, 57133289, 9909961, 67567, 1880341, 5, 5575259, 2539, 37, 839, 1393681, 85109, 433, 9306683, 2491787, 20325527, 13, 5, 3, 65287, 8205839, 3, 929573, 17, 149, 477409, 6101, 6911, 717109, 5857493, 3, 719, 3, 79, 962993, 52124879, 1741, 691, 6455399, 25303, 46447, 5154827, 17, 929573, 61, 7129, 41, 7817, 88917859, 418787, 992437, 3988487, 10223357, 370411, 95517517, 929573, 94583, 3, 3, 37, 6820483, 1642463, 4793, 97070983, 953, 1319, 8969, 30241, 467, 5531, 38459, 2285911, 47, 353, 4221299, 49408643, 6004897, 3943, 7, 2, 5, 89493259, 610301, 2, 6060689, 957587, 13177, 11177, 997, 4111, 7, 26024267, 6850999, 47457367, 604171, 3923, 9539, 9601, 857, 7, 3, 62155259, 5974249, 1524181, 709279, 3539, 146021, 2, 5171, 313, 33421669, 9931447, 929573, 1559447, 487, 8147567, 70821467, 23507881, 4438079, 5867, 53, 4976063, 769, 431, 57761741, 8633371, 431, 971767, 481667, 2474431, 9437, 2355047, 7, 977, 659, 773, 1061, 888323, 83, 62191, 491, 7, 98654473, 7, 619, 584141, 97, 2, 4868189, 99375391, 7579207, 947, 2, 191, 1559, 39869, 137, 461}

Returns: "11111111011111111111111111101111111010111110111101111110111111110110111011110111111110111111110100111111101111111111111111110111111110100111111000111111100110111111111010001111111111111110110111111111"
{71, 7, 191, 86861, 6236179, 41, 1487, 929573, 5, 31, 17, 57944899, 353321, 277, 877, 770741, 29, 463, 7853, 2311, 46507, 13, 83, 94273, 3319, 3, 23, 8317, 2, 78803, 22328851, 5, 49853, 43, 4286011, 5080643, 61, 5152507, 4397, 275131, 734443, 23887, 8629, 20807, 1659101, 67, 24337, 41, 3, 2, 83, 43, 94274449, 77250497, 91909, 37, 7, 83, 17, 2983961, 80455327, 2, 937, 7325959, 21031, 13, 6191371, 35617, 3217, 5059, 5839, 536743, 489679, 4111, 797, 26505463, 93849563, 68495347, 71809, 41, 19763267, 1629623, 5, 28723853, 788287, 59, 35355923, 53633, 587, 30492257, 314107, 79682263, 13381, 9556081, 5352979, 3, 11536699, 733, 617509, 821, 38197, 6501109, 8323831, 31, 5974249, 463627, 3, 929573, 40471, 263, 13, 8327069, 2, 9748751, 41, 5041661, 39883, 7858771, 7, 863, 2504147, 8283689, 6236179, 21341, 5273, 588437, 3, 58891813, 95888467, 47, 23, 4721179, 6586207, 78163, 212801, 6333731, 97, 79746493, 5081, 413597, 29136091, 3585457, 73, 1621, 241, 9323569, 872761, 9883, 2234591, 5, 593, 43, 3, 25948847, 739, 6695167, 45841, 89, 8641, 54451583, 73, 3, 78541, 3326489, 39117929, 6089, 66450719, 4001, 773, 30968437, 13, 1477703, 8719, 9066503, 8863, 65635369, 294001, 487, 3, 9517003, 503, 5, 7079, 107, 6269, 82051, 283, 2281, 10399, 61811599, 7463947, 8501, 3, 3761, 67559339, 79, 7065127, 572269, 5659, 7}

{97, 7, 647, 54403, 4543823, 47, 2137, 780583, 2, 71, 97, 48341959, 405499, 577, 137, 295759, 17, 401, 4273, 4057, 36307, 19, 31, 61343, 2741, 7, 41, 2593, 5, 49463, 12153803, 3, 20359, 43, 3176597, 8639089, 23, 4793879, 5413, 145511, 130303, 69337, 2141, 76231, 9262697, 47, 43051, 97, 3, 2, 19, 41, 55207631, 63150343, 16649, 19, 3, 47, 19, 9052541, 69024467, 2, 541, 9012559, 64717, 53, 8199557, 17489, 6899, 6793, 4483, 762053, 603557, 4759, 641, 48024359, 44720519, 10293757, 56209, 59, 58142507, 7469789, 7, 89607367, 179021, 83, 25504223, 45263, 607, 18892217, 129263, 57376169, 29221, 1031831, 9450761, 7, 32349881, 179, 649069, 881, 60037, 6191371, 6409379, 43, 3878491, 999749, 7, 505819, 91753, 839, 53, 8270201, 5, 7716547, 79, 1888331, 10601, 3070663, 7, 859, 9931447, 5263189, 8734361, 99713, 1093, 962537, 3, 70498907, 12398327, 17, 41, 2089939, 2880469, 40123, 743819, 8923883, 17, 85478369, 2707, 205211, 56763691, 6072029, 67, 5503, 457, 9687241, 529603, 4679, 3306601, 7, 503, 29, 7, 69454643, 503, 1859467, 32719, 41, 6661, 50029349, 23, 5, 64237, 8460593, 34336711, 7639, 42758917, 9619, 691, 51208733, 37, 2983559, 1301, 9700429, 6269, 76017509, 279119, 127, 3, 3309377, 107, 5, 1979, 991, 5651, 36209, 797, 5297, 86131, 92027977, 9663683, 9631, 2, 6011, 38621893, 59, 7919543, 807907, 6323, 3}

Returns: "11110110111011111111111111111111111010111111011111111011111111111101111111101011101111011111111111111011011011111111101101011110111111111011011111111111101111111110110111111011011111111111100111111111"
{9629, 41143, 19163, 5, 83, 7, 5, 82787, 17729, 6563, 964823, 89689, 139, 294001, 584141, 547, 39631, 604171, 8287, 5, 3821351, 4001, 557, 19211, 557197, 87112621, 863, 61, 83987, 431, 471403, 23, 9610793, 37, 59704529, 4013, 61761299, 8353427, 5, 8101, 31, 86323, 37, 37457711, 4962721, 44042473, 101, 971, 41513, 124249, 5, 222913, 65947213, 584141, 11, 681451, 23, 29, 7185757, 43, 6791, 2, 48024359, 6283331, 59, 881, 53, 8839, 89, 2917, 94591303, 47653, 601, 5233, 5057137, 3, 5281, 60647, 5, 74509081, 71, 7523, 6762121, 698021, 983, 29, 72223, 294001, 211, 9610613, 281, 81936947, 81749, 997693, 919903, 227, 958193, 82721, 7, 347, 87522221, 7657523, 5, 3, 113, 7, 53446361, 5, 54168097, 1741, 2382811, 41593, 8431, 82471, 11, 17646793, 43, 50604977, 59, 82559, 3, 7457, 53896433, 5843, 294001, 255019, 16103, 2, 61, 90529, 35759, 926077, 5547713, 433, 1871, 95479, 716731, 92057437, 3671267, 397, 9351443, 39163, 8596057, 5471, 197, 3975353, 2, 63444851, 5, 133811, 929941, 991, 5, 13, 83, 59581, 780343, 829, 48722701, 179, 29851, 34939, 929573, 6317, 29, 88826693, 3, 73, 2, 67886641, 646879, 2, 79, 7, 241, 809, 9013, 2141, 1259, 7, 19, 7519777, 75307, 2, 4889, 81233, 584141, 4717451, 2707, 29, 739, 499, 4711453, 73, 7671227, 7936583, 1049, 10903, 4743197, 14510971}

{4877, 31973, 60037, 5, 43, 5, 7, 87701, 54581, 3607, 595159, 11131, 467, 142609, 229711, 839, 97919, 895591, 4943, 2, 2409191, 5659, 439, 24371, 505447, 43432409, 233, 67, 63317, 269, 573763, 13, 4039663, 59, 55996643, 4937, 76456141, 7606409, 5, 1447, 53, 20593, 29, 10506191, 6173731, 25585993, 937, 307, 50417, 528707, 2, 638839, 62874569, 120863, 31, 368737, 73, 31, 2802211, 13, 6827, 5, 97253129, 2965211, 97, 233, 61, 7499, 79, 2411, 65976583, 16433, 331, 2131, 9093311, 2, 7127, 48817, 2, 16042291, 59, 1321, 1438291, 362099, 751, 41, 96269, 361541, 157, 4588933, 809, 61249567, 49069, 282377, 250451, 823, 505447, 91127, 3, 827, 40812781, 2634517, 3, 5, 277, 3, 57635411, 7, 40515491, 5657, 8357543, 98963, 1481, 28793, 41, 89299211, 17, 26322269, 79, 94889, 7, 2693, 74870287, 4201, 805219, 479239, 81943, 7, 89, 17539, 63079, 971767, 9335971, 173, 5783, 78593, 139187, 20274703, 1135327, 599, 7982543, 80527, 6173731, 1103, 809, 4244753, 7, 69704891, 5, 708053, 341347, 383, 5, 31, 41, 24809, 258563, 389, 99508303, 389, 54629, 38569, 364621, 2677, 73, 27828001, 3, 13, 7, 88221467, 299711, 7, 37, 2, 251, 367, 3671, 5503, 1697, 5, 47, 3165713, 49033, 3, 1321, 84653, 724769, 5092771, 8447, 79, 193, 269, 6482033, 37, 3192037, 5152507, 5407, 92657, 5152507, 89146619}

Returns: "11111111111110011011111100111111110100111110011111110011111111011111111111111111111111101111111101110111111111111111111111110111111011111111010111111111111111111101101111111111111111111101111111101100"
{9391, 4187483, 3, 2690201, 5, 881539, 4484569, 271811, 29, 9537371, 523, 13009, 3, 4547, 3, 71, 5, 7, 49840019, 69697, 6137839, 367, 903017, 98534851, 444151, 35767727, 433079, 523, 3043597, 761, 47, 5537029, 21717601, 7, 79, 86226443, 439, 48221, 832583, 17387, 1511, 10136447, 65527997, 383, 1087, 1012657, 51437, 613, 6101, 9016079, 17, 2590087, 7, 9254281, 4253, 294001, 670223, 7, 12557093, 349, 457013, 41, 673, 271, 5, 271, 7079, 613, 76695667, 211, 393667, 5, 5, 761, 413533, 7282361, 599, 63149, 757, 7, 3, 67, 6581, 7, 41, 664043, 8663, 563077, 5419, 84523, 7, 3, 25483151, 71905261, 52919, 7, 8929, 7858579, 56827093, 584141, 6191371, 9859547, 28484909, 67, 1282529, 96880643, 7, 521, 79, 43820573, 9643, 1861, 9473, 5743, 769, 93337, 85485971, 5974249, 43, 31, 9395377, 71370853, 13, 9608189, 45697, 641, 571, 2, 71, 5, 29, 787, 5, 56737, 7673, 5399, 73644101, 7810223, 7109, 433, 4549, 419, 76541, 444127, 59, 149021, 9901, 61845193, 78712681, 347, 69314659, 79, 604171, 1091, 107, 4637, 2, 5450129, 157, 84653269, 11, 54832513, 1907, 69863357, 33751, 5, 421, 631, 7, 61, 3, 30577, 9587, 94561, 219001, 83267, 3457, 41, 33289, 647, 4127, 241, 2791237, 2, 23011, 883, 607, 379, 9511, 269089, 3061367, 57571, 83, 557, 1172233, 6191371, 31672621, 97, 27956651, 89}

{7877, 5575259, 5, 5967631, 5, 936557, 1282529, 604171, 79, 4401421, 937, 89381, 3, 6011, 3, 37, 2, 5, 74600807, 56951, 7152779, 773, 270307, 78800807, 698539, 21089489, 758743, 823, 7469797, 421, 13, 7406821, 79845641, 7, 11, 88927781, 709, 11969, 423461, 21319, 9043, 25974583, 47498261, 139, 4003, 5111647, 23003, 677, 7573, 5121289, 83, 1643809, 2, 4814617, 6917, 971767, 584141, 2, 12880393, 157, 697757, 47, 191, 503, 3, 101, 7537, 647, 48384977, 509, 929573, 3, 7, 263, 711649, 6927797, 149, 90397, 349, 5, 2, 89, 9371, 3, 31, 584141, 1433, 142369, 1667, 75437, 2, 2, 49088731, 86827199, 38197, 7, 4027, 2540539, 68169221, 602597, 5353021, 9722833, 36953737, 83, 9127291, 40812781, 2, 593, 13, 64282277, 7759, 3137, 2729, 1543, 239, 18143, 29348797, 5739101, 79, 29, 6163757, 96356053, 17, 6191371, 60317, 337, 127, 3, 97, 5, 79, 457, 5, 74699, 6473, 7121, 58413647, 6334873, 8461, 151, 3041, 691, 62501, 460657, 23, 437641, 1493, 62950669, 23463971, 463, 92135149, 71, 674393, 1381, 809, 5897, 3, 6905461, 617, 99595919, 37, 99367039, 7933, 37193257, 52901, 2, 659, 337, 2, 31, 7, 67121, 8101, 20521, 288209, 21191, 1151, 97, 75133, 263, 6247, 797, 7810223, 3, 71789, 263, 797, 271, 9239, 294001, 7739911, 94811, 47, 509, 6427277, 2338883, 26192293, 97, 89641571, 31}

Returns: "10101100101111111111111110110111011111111111111110111110011111111111010111111111111110111111111111100111001111111111001110101111111111110011111111110111011111101111111111111111111111011111101111101111"
{241, 82651, 37, 75374149, 67, 12073, 4018039, 4211, 2, 82905047, 5585947, 62423, 981587, 191, 83, 584141, 527581, 5974249, 1937549, 561097, 13, 43271, 2, 214763, 827, 61, 60987293, 7469789, 44641, 79, 43, 3429763, 4933, 87223, 6997, 439, 5, 3, 73, 914533, 3, 161531, 76003, 47457367, 269, 151, 2011, 2, 2087419, 3349127, 2003, 2309287, 103, 68449, 98482651, 9915589, 7, 649039, 85424957, 331, 677539, 70729, 277, 41959, 41081, 587, 70321, 2657, 61, 5, 8741, 97882067, 91297, 3, 7, 41091241, 8929, 83311, 4493, 9537371, 7231403, 4349, 4651, 227, 88443767, 2083, 7645483, 3, 92156633, 5237, 1985759, 8661557, 906313, 2, 84349, 140761, 806177, 9589841, 53, 29, 3, 467, 929573, 44501, 43, 5387, 859633, 3967, 3070663, 2, 17, 49098191, 19, 481997, 491, 971767, 9507191, 7, 17401, 83417, 403133, 379, 742457, 5, 163, 7, 41, 756179, 9462647, 845197, 20113, 353, 95663761, 47911, 604171, 77298293, 67, 67, 3819199, 375149, 52937, 37965637, 11, 71, 4609949, 5362439, 505447, 5, 64085921, 79, 181, 505447, 46229, 7, 9341, 569, 42767, 71, 5, 83, 5, 44497, 317, 4963403, 294001, 4663, 23833, 70561097, 86689, 17, 1373, 11, 3, 2663, 79900853, 7, 21281479, 353, 85733, 76806553, 853, 858161, 118247, 697897, 21929, 43, 71, 2503, 622637, 9931447, 6501569, 36373, 51588001, 8035463, 8651399, 43, 937, 47, 505447, 53}

{127, 64153, 13, 45025021, 79, 51767, 2649421, 7549, 5, 24839963, 5381861, 23917, 795007, 563, 89, 917083, 952439, 1062599, 4048969, 584141, 31, 32341, 2, 388373, 233, 17, 79217857, 3065641, 74257, 47, 89, 5260943, 1861, 99079, 1597, 281, 7, 7, 97, 103171, 2, 557573, 29327, 99751859, 839, 829, 9739, 3, 2017963, 9933619, 1171, 1098037, 397, 94811, 41744407, 5575259, 2, 505447, 89919241, 193, 240509, 21991, 769, 33613, 81203, 307, 14753, 9109, 61, 7, 8387, 87077527, 75181, 7, 2, 63280403, 4073, 99317, 5501, 9941293, 7889953, 6779, 6311, 677, 75006361, 1549, 3994493, 3, 72064859, 3673, 7451677, 3447281, 281363, 7, 27179, 965759, 125429, 2081801, 83, 11, 5, 337, 843179, 32969, 37, 9547, 465929, 6337, 1652513, 5, 59, 49863449, 61, 751759, 977, 491527, 2381263, 2, 73063, 85037, 375773, 113, 223219, 3, 881, 2, 79, 604171, 9854081, 584141, 14591, 463, 79749353, 24413, 456649, 86788987, 79, 17, 3817817, 454921, 76913, 63210263, 29, 19, 3906557, 7982543, 906589, 3, 96586351, 43, 599, 127703, 26699, 2, 6329, 881, 95233, 29, 2, 97, 3, 14407, 251, 4818383, 398731, 1303, 93251, 27063691, 61231, 17, 7187, 97, 2, 4363, 82466009, 7, 69068903, 113, 26737, 36977671, 641, 321169, 505447, 278543, 11779, 11, 11, 9769, 584141, 9697319, 6754669, 82223, 18564451, 6191371, 4505233, 47, 103, 61, 381859, 31}

Returns: "11101111101111101010111111101111111111111110111101111100101111111111111011111110111111111111111111111101111101111110111111111110101101011111111110010110111111111111011111111111011111011111001110111101"
{11641103, 2056141, 26331583, 77330453, 91632053, 47, 22369, 120157, 947, 180751, 97, 27739, 31849, 4255429, 84063803, 2281, 505447, 38543, 374333, 991943, 397, 2851, 6529, 56789779, 98999, 38498767, 2, 11503, 23260187, 51613, 571, 604171, 78857791, 4153, 48073, 3, 13654843, 293, 79367, 23, 7927, 607, 53, 13229, 78425177, 79, 17, 6910777, 91807, 5, 167, 1471, 72168857, 91384849, 431251, 509, 829, 3, 26203, 37, 211, 17424721, 61, 3, 373, 34273, 916939, 463, 507071, 590573, 3679211, 3, 173573, 787, 6899, 9277, 1772483, 3686483, 9016079, 17, 3, 3203, 1524181, 35319367, 19, 84243491, 3389, 90677, 57917441, 12780247, 2017963, 5, 5, 283, 1380031, 1499, 59, 2, 2141, 5, 9608189, 54186227, 3413, 2, 70323137, 628037, 89, 95621959, 1062599, 97, 61813, 67287041, 5, 41, 139, 61, 73, 83583349, 773, 704419, 7, 5743481, 46086683, 53, 389, 92219, 5, 16728479, 6545261, 4349, 1263373, 92557, 3, 53140979, 17, 5, 18719957, 99731477, 50242109, 71, 191, 89251823, 83, 3, 15569, 647, 844757, 56743469, 197, 37, 2836081, 5, 929573, 32083, 2, 19, 516883, 2, 97410163, 151703, 11369, 3, 5, 457, 87622229, 5, 5, 97, 49999, 911, 439, 73362181, 3, 96779, 38790743, 89, 499, 1233751, 7, 21803521, 10177, 11, 47, 823, 6679, 135467, 418511, 9769, 709, 6830147, 673, 68247427, 4549, 9765433, 487, 857, 67289, 853, 87530227, 7858771}

{82542419, 4987819, 66643151, 15607957, 42082877, 59, 59797, 604171, 337, 207589, 29, 20743, 19949, 6718741, 51564769, 1907, 792223, 97187, 690689, 804007, 937, 4483, 1613, 44561567, 39217, 12494893, 5, 31091, 13410907, 68699, 853, 508091, 47205043, 5857, 44953, 2, 60210811, 307, 18587, 97, 8543, 617, 47, 15913, 10830793, 29, 31, 8770687, 43793, 3, 631, 3701, 92093101, 36266719, 791387, 883, 967, 2, 24043, 83, 109, 58107953, 41, 2, 457, 84467, 294001, 823, 930847, 641467, 7780691, 5, 888011, 307, 5573, 8363, 9961141, 1165937, 2050963, 61, 7, 1871, 9149843, 99425279, 61, 20212327, 6173, 59611, 43956949, 94982471, 4700821, 2, 3, 439, 8474173, 8377, 41, 5, 2707, 7, 8583713, 95517517, 1429, 7, 14973797, 636749, 31, 69763289, 6341219, 59, 88903, 26632483, 5, 31, 101, 61, 47, 99954053, 389, 864953, 7, 2536753, 91788197, 37, 577, 86767, 7, 63948967, 3120463, 9209, 4018867, 79481, 7, 54378227, 73, 7, 86581513, 70128347, 70402331, 11, 547, 92945399, 17, 7, 74891, 673, 785303, 81669229, 941, 13, 6178309, 7, 200989, 90407, 3, 73, 384919, 7, 73644101, 591131, 36217, 3, 5, 563, 97165001, 5, 3, 11, 35419, 491, 863, 37389383, 3, 67843, 59144023, 97, 863, 4258879, 7, 56716481, 92693, 89, 23, 239, 3727, 788779, 521251, 6247, 421, 3497267, 569, 98176327, 9391, 4077617, 311, 937, 43313, 227, 41716891, 6712591}

Returns: "01111110111111110111111111111110111111111111111111110011111110111101111111111101110010111101111111110011111101111111101111111111111111111111111111101111011111011111011111111111111111111111111111111110"
{3, 7, 6092189, 347, 2617, 3, 557, 7, 19141, 103, 67155749, 7, 10605871, 69614959, 5, 1303, 6947, 971767, 61253, 3229, 47, 137, 79, 43, 39451, 19851991, 739, 31, 31, 7, 683, 244297, 4007, 125063, 83437, 2, 3, 64320671, 24762233, 430699, 5, 61, 61297, 23, 5143403, 31327, 8783, 1571, 2, 20441, 7089361, 13, 8963, 3001777, 1931, 8317, 803443, 53, 83987, 8941, 2731903, 523, 5, 7514543, 7873, 59, 683, 79830431, 19, 7609321, 91193, 74687, 59, 1319, 5, 505447, 2, 4831, 19, 1062599, 54521, 941159, 68677403, 6770549, 81157, 399557, 9461, 79, 47, 797119, 5, 47, 983, 3660563, 2, 6763, 41213, 602351, 4799, 92077, 107599, 1523, 34193339, 271, 89519, 584141, 701, 4666553, 9613, 9700429, 47843, 6798401, 503, 5, 659, 3, 5333, 350783, 2339, 13126063, 7549363, 2127061, 2, 863, 4789, 59599109, 3, 5, 7529, 977, 5, 14251, 5, 43, 5, 929573, 802499, 991, 505447, 14419, 175573, 23057, 358273, 49667, 47, 7, 727, 67, 6449, 5660731, 9587, 94903, 61, 31, 49523, 5711, 2459, 3, 89807551, 61, 2560099, 9733, 624829, 6463267, 941, 569, 8933, 43117703, 313, 294001, 1381, 74194777, 4603, 9630331, 5, 26957683, 5443, 179651, 67, 2111, 71, 13, 167, 17291, 5507, 701, 835099, 47, 268637, 31, 263, 41, 798569, 700633, 45523, 847519, 5, 66569, 9542987, 7}

{3, 2, 5152507, 433, 2713, 2, 839, 2, 69493, 269, 77713453, 5, 42057877, 39306767, 2, 1741, 5393, 604171, 72503, 4517, 97, 673, 19, 47, 20743, 27081913, 797, 83, 13, 5, 349, 294001, 3851, 604171, 40739, 7, 3, 82892633, 85415249, 854083, 7, 97, 28837, 23, 5761331, 46867, 7193, 5417, 3, 62297, 6463267, 17, 2731, 2693237, 7309, 1511, 584141, 83, 70921, 6829, 3318709, 839, 5, 9321541, 2287, 17, 823, 97283321, 29, 7204777, 97187, 16901, 71, 5701, 3, 253349, 3, 6829, 43, 1666061, 29009, 294001, 63055583, 8181091, 21101, 298841, 7213, 61, 79, 141277, 5, 41, 499, 4676323, 3, 9091, 24179, 866737, 2371, 89393, 188579, 2999, 60722617, 797, 94649, 473383, 673, 9102647, 1583, 4256089, 42841, 3859393, 401, 3, 751, 2, 1459, 911129, 5209, 34769303, 4032781, 9807367, 2, 229, 2693, 35896921, 7, 3, 1361, 463, 7, 89393, 5, 59, 2, 594469, 604171, 677, 294001, 49871, 694721, 57803, 604171, 57487, 11, 5, 103, 19, 6287, 3685729, 9931, 11047, 11, 47, 93251, 4657, 3557, 3, 89146619, 37, 2474431, 2371, 131941, 7304821, 419, 211, 8171, 77349913, 181, 626797, 8933, 35698367, 8501, 9537371, 2, 18561293, 2467, 995347, 89, 5927, 71, 61, 383, 26161, 5227, 661, 929573, 67, 470551, 11, 271, 79, 505447, 610667, 36529, 929573, 7, 75991, 5477929, 7}

Returns: "11011111111111111011111110111110101110011111111111011111011111111110101111101110101111111111111111111111101110111111111111111111111111100101110111111111111111010110111110111010111111111101111101101111"
{34409801, 2432999, 5349007, 887, 11, 1499, 74711779, 19771501, 2357, 6301, 37, 523, 65713, 43, 745727, 947, 97, 16619, 1282529, 953, 2593, 403687, 683, 59663, 17, 7159319, 9016079, 79, 72767, 619, 4003, 11, 53407, 23291, 229, 45412331, 7600231, 50456519, 4931, 3, 294001, 29, 321851, 79, 15791, 29, 53, 239, 2, 271, 8090057, 488503, 7469797, 8264437, 52027, 59981, 7607671, 2010973, 5, 73999, 62327, 944969, 91375157, 7, 71, 7858771, 59239, 71, 298733, 5987, 359, 106543, 3, 25349257, 7, 2, 4919, 43, 49009, 2138387, 37, 647, 13, 44207, 6701, 76847, 769, 1931, 1435219, 37, 3, 97, 39359, 3, 97943, 7433, 2797, 3, 71387, 5953, 24421, 1554043, 853, 7949, 17, 5, 5197, 64067, 362569, 81608981, 49429, 43669, 4075723, 80147, 13060363, 35050709, 823, 5, 25981, 13, 42245143, 317963, 9283, 491, 31849, 6092299, 7, 499, 10004341, 643, 4808579, 7907, 7, 2174593, 2, 23173, 25994021, 604171, 2, 29, 401, 7, 36382837, 3881741, 5564453, 10613, 2, 32173, 3940841, 3, 3, 35608019, 6191371, 5840099, 26021, 476381, 23, 31, 78354611, 433, 90439, 1801, 73, 273943, 90407, 842489, 92181967, 337, 7184539, 587, 7, 1061, 510569, 875269, 39133, 8090057, 3203, 42703517, 2549291, 9690433, 5843, 9479, 5, 598363, 57143, 73387, 20524891, 3, 53, 46703, 17412427, 161221, 151, 8342693, 29, 193, 6317, 3, 37647761, 1979}

{54559123, 6798413, 2463137, 601, 59, 8363, 15606659, 89722181, 3631, 6529, 67, 353, 80051, 71, 923977, 467, 41, 81283, 8536709, 331, 4463, 568991, 521, 64667, 59, 6358139, 1694761, 29, 23831, 659, 4597, 97, 69317, 34319, 107, 62117921, 3871663, 50471857, 7193, 3, 366029, 43, 465319, 13, 67829, 23, 61, 521, 7, 787, 9158273, 163151, 8660653, 1267159, 40063, 82493, 6989137, 4040119, 7, 81547, 47497, 476633, 57458813, 7, 11, 1523297, 26879, 67, 304943, 8941, 239, 823547, 3, 39232201, 5, 3, 4591, 23, 82261, 6388409, 97, 251, 71, 31051, 5743, 41113, 151, 6529, 7858771, 67, 5, 31, 33679, 3, 86677, 2087, 7507, 2, 55337, 3929, 12203, 6795533, 601, 5743, 83, 7, 7237, 48481, 226141, 94542179, 56519, 95401, 9336331, 92767, 42481727, 61089089, 709, 5, 95581, 83, 66857993, 319001, 3191, 151, 15887, 4030759, 5, 307, 18952319, 769, 7469789, 9311, 3, 8353427, 2, 36073, 68126791, 929573, 7, 97, 409, 3, 94309151, 9390643, 4393139, 95911, 7, 67391, 2213759, 2, 5, 97000003, 1596697, 3926849, 67217, 662953, 71, 29, 43718387, 977, 65071, 7741, 71, 530227, 12203, 997057, 78712681, 853, 8353427, 487, 5, 5261, 996899, 644489, 40609, 4393139, 4871, 64353493, 4965629, 7371443, 1783, 6367, 5, 630353, 27073, 13411, 20591093, 2, 37, 57179, 74093777, 665479, 761, 5666317, 89, 103, 3083, 5, 25987691, 1021}

Returns: "01111101111111111101111111011111111010110111111111010111111111111011111111111111111111110111111111111111111110111110111111111111110110111011111101111111011111111111110101111110101111111111110111111111"
{43, 4799, 31, 8353427, 36137, 29, 1135751, 8951, 91566989, 5564453, 31, 3079319, 13, 3, 67271, 7, 289543, 31, 2593, 81853, 883, 739099, 7, 49481, 60661, 19, 95537077, 41, 5564453, 6758959, 161159, 38707, 3347683, 421, 3061, 11, 937, 5, 3, 3, 9016079, 31, 1069, 321301, 503, 24740533, 31, 751, 5, 1011671, 4261, 5, 29911061, 8329, 9941, 983, 83, 6403321, 37596037, 12109, 9343, 41, 974317, 877, 2459, 549421, 5, 69263, 2, 6691, 664177, 99425279, 578497, 41, 53844257, 4112299, 504389, 5, 2, 71881, 744727, 2, 7480597, 7079, 59, 5, 9308357, 307, 2, 7204777, 82067, 53, 37365011, 9431, 547, 53, 207139, 269, 3, 885097, 757, 2520443, 978947, 5, 505447, 9725213, 7, 3, 9530621, 61, 51647, 26839, 13, 839, 2, 41729663, 89141207, 5101, 569, 15964799, 3119, 166417, 54121, 547, 71, 2, 3, 505447, 1733, 433, 51803, 89, 11, 26881, 73, 3, 457, 3623, 1399, 49145353, 3, 3, 6343, 29370179, 97848691, 82721, 611441, 3, 32198693, 94111, 35401, 72333539, 2963, 4270517, 263, 17, 8263, 233, 7469789, 61, 7469789, 3, 7, 113, 79, 992723, 827, 3163, 61, 505447, 99409, 4657, 14767, 26770819, 929, 1471, 8613041, 41, 3, 85259, 7, 85109, 2963, 3, 23, 65314439, 82237, 12118643, 5011, 929, 6947, 233, 62971609, 93323, 3, 9931447, 7, 3533, 347, 13781}

{19, 6551, 53, 2933597, 64817, 41, 4952921, 9551, 50471857, 5618581, 19, 1126033, 23, 7, 50177, 5, 553013, 11, 8501, 33107, 691, 531871, 3, 46229, 66683, 41, 80798513, 53, 5015123, 1403453, 916837, 97231, 2017963, 157, 5273, 47, 563, 5, 7, 2, 2602781, 89, 4111, 909973, 127, 58143887, 41, 131, 3, 9537371, 1663, 5, 87517271, 4073, 3259, 701, 47, 3022543, 87789563, 51913, 4409, 79, 988271, 953, 2753, 441713, 7, 71867, 5, 6763, 847967, 61850483, 604171, 43, 16422233, 9654349, 403679, 7, 7, 67819, 604171, 3, 6622661, 5923, 61, 5, 9489653, 919, 7, 2837983, 44159, 13, 69696173, 8669, 389, 47, 835141, 557, 3, 598123, 173, 2289739, 611213, 5, 852031, 8512759, 7, 2, 9277799, 41, 23563, 70313, 83, 911, 7, 83610599, 22995989, 1021, 223, 33004261, 6037, 971767, 13417, 281, 61, 7, 3, 995623, 8243, 229, 89213, 47, 97, 63589, 23, 2, 599, 8389, 4441, 76328383, 2, 3, 1663, 74373289, 68475413, 38669, 821449, 5, 30853271, 15661, 59999, 38721667, 8831, 5456579, 521, 73, 4969, 619, 6834271, 71, 3339607, 7, 5, 953, 23, 540349, 557, 6067, 97, 615623, 85889, 8623, 93263, 11423873, 421, 9511, 8463167, 41, 2, 96487, 5, 38891, 8311, 5, 67, 79228937, 53267, 93752227, 2683, 151, 1063, 631, 98482651, 58237, 7, 1412813, 5, 7549, 743, 91019}

Returns: "11101111001111111111111111110111011111110111111110110111111111111111111001111111011111111011111111111111011111111110111110111110111111111111111111111111111111010111111110111111111111111011111101101111"
{36259189, 53623, 415133, 37, 6173731, 7681, 65357, 91506689, 983, 71, 6274601, 661, 15907, 43, 29411, 5, 95327471, 74776589, 49043, 991, 193, 37, 319817, 3797, 967, 337, 53, 29, 139547, 227473, 311, 1726693, 797359, 829, 5974249, 1549, 9857, 545161, 24199327, 33889, 29, 523, 294001, 7, 1558243, 89833, 6907, 683693, 28688371, 97, 2549, 63271727, 33161, 581699, 283, 97, 367, 5564453, 773, 487, 263, 41, 222193, 73, 81157, 9874367, 109, 53, 84857147, 43, 50989, 593, 29, 7, 621701, 2, 3325747, 69786271, 2, 773, 2754047, 6293387, 971767, 2, 29302157, 7, 911, 13, 7, 827, 7, 50016149, 19, 856703, 4262311, 809, 863, 33469, 971767, 73, 983, 42281851, 565637, 294001, 54631, 61, 7562407, 677, 97, 79, 6325367, 83, 317003, 41, 90349661, 186551, 7, 49885487, 2, 4159, 2131, 604171, 9629, 75533, 45191681, 29, 712051, 9261361, 6226141, 7810223, 167, 24023, 7, 4027, 5613991, 50411, 695407, 977, 599, 73, 7163053, 6712591, 157327, 199, 41, 4259, 929573, 42937, 433, 11, 41, 823, 1489, 46591507, 5058491, 599, 61, 57430421, 72689, 54455207, 263, 6908431, 69143, 8541737, 5693, 563, 8918519, 3, 383, 83, 6712591, 3, 7, 22090493, 1613, 5, 11, 3271, 99164581, 541, 599, 4091, 821, 347, 811, 15731, 47041, 43, 3, 11, 5, 5974249, 21529, 58441, 13619, 7771957, 6779, 67, 3, 701}

{50006987, 51241, 633583, 23, 9663683, 6871, 23291, 48495319, 307, 13, 1965913, 349, 94841, 31, 69653, 2, 35319367, 23127721, 36263, 827, 389, 59, 461333, 1117, 463, 757, 23, 13, 103423, 434009, 659, 8222089, 971767, 163, 9262697, 2939, 2447, 115211, 78958211, 79153, 23, 941, 584141, 2, 8028227, 27431, 8747, 195863, 70317367, 29, 5849, 24146209, 78427, 382589, 557, 47, 547, 7910047, 251, 509, 113, 61, 584141, 79, 35863, 7469797, 107, 37, 25081361, 37, 65851, 277, 43, 7, 471671, 5, 8367803, 82957817, 5, 139, 2112919, 1062599, 913637, 2, 96838727, 3, 293, 19, 5, 829, 2, 50030077, 79, 286477, 7516259, 431, 613, 38501, 390493, 73, 283, 72136231, 767783, 513347, 28547, 43, 8532761, 563, 47, 61, 9941717, 59, 767759, 17, 20302771, 505447, 5, 32785201, 2, 2699, 7351, 369709, 8447, 48799, 56370581, 43, 898129, 9608189, 4146001, 7469797, 877, 20441, 7, 2287, 6463267, 68947, 812699, 617, 607, 11, 7471361, 9123403, 998419, 887, 47, 8539, 498227, 14461, 937, 83, 61, 877, 1163, 97312819, 5117117, 683, 41, 10741651, 60631, 19774817, 967, 7469797, 16943, 5886719, 3631, 673, 2933731, 3, 911, 47, 6192143, 7, 5, 69588331, 7219, 5, 47, 6163, 79559111, 383, 997, 6211, 251, 587, 313, 47737, 26227, 11, 3, 37, 5, 4390219, 53377, 97501, 13681, 3028769, 8693, 17, 2, 127}

Returns: "11110111111111110111111111111111010111011101111111111111101111011011011111111111100111111110111111011110110111111110111110111110101111011111101111011111101111111011111111011111111111111111111011111111"
{64843237, 3, 19949, 33493, 5, 7150673, 58143581, 85276627, 24019, 6007999, 7, 79, 50844289, 6079, 7753, 5197, 739, 9649789, 2, 7, 31, 41, 548963, 83, 72101, 7098323, 604171, 5576383, 6162197, 8363, 343087, 3407, 53, 99041179, 53, 92758157, 4393139, 9608189, 7369, 179, 6295183, 912449, 714163, 5, 4343291, 7, 9794117, 3693449, 991541, 4131353, 971, 7, 11, 2, 54642671, 97169, 139, 7349, 61, 317371, 337, 8093, 76673, 2843, 29, 3, 2341, 35954509, 294001, 862061, 37, 7, 971767, 5840693, 953, 5431, 3, 757, 1699, 5431, 71, 43247707, 17, 94447, 44171, 36767, 739, 312563, 107, 2417, 3271, 13, 18731, 8641, 25321909, 82009, 61, 47856047, 643, 554923, 883, 306491, 98563, 5, 73, 3, 43, 32621, 71, 17921, 467, 22064269, 1481, 99780557, 3767, 5, 83, 191, 90932389, 5, 89819, 2, 97239827, 3, 7, 43, 77347, 3691, 584141, 773, 431, 6407119, 3, 6947, 6829, 727, 1260551, 2025409, 4615201, 4993, 3, 6316939, 5, 4020257, 83873, 3326489, 505447, 349, 18582217, 630719, 647, 8377, 45007, 3, 565489, 613, 37, 929573, 8668207, 24151, 823, 1277, 6427, 433, 5749397, 85825769, 60622229, 418787, 727, 67, 3, 89, 6131, 7411, 36269, 74731, 241, 740891, 1307, 211, 3371, 937, 6899309, 773, 7810223, 6463267, 396581, 2677, 959461, 2113, 29409091, 855709, 62417, 11, 739, 23064023, 1886011, 977, 13381, 9833}

{87776921, 3, 27647, 57139, 2, 8970341, 17412427, 64087411, 89899, 6971857, 3, 53, 28206301, 5701, 3821, 6529, 443, 3873151, 2, 3, 11, 59, 203641, 97, 29587, 8543999, 405437, 7205587, 7279817, 6551, 356819, 6917, 97, 75080129, 43, 48441331, 9834023, 6463267, 9007, 613, 6890161, 698273, 387371, 3, 4766843, 5, 4122827, 4975247, 224177, 6949259, 601, 5, 53, 2, 45152777, 65327, 127, 9839, 79, 400307, 307, 6271, 59167, 3449, 97, 7, 2069, 77259827, 213827, 497011, 97, 2, 929573, 8532761, 743, 1229, 3, 383, 2837, 9497, 83, 66207083, 73, 32569, 35153, 49033, 947, 430981, 127, 8363, 9133, 29, 25523, 6007, 44499563, 64613, 41, 62405689, 659, 294001, 257, 766817, 35327, 2, 53, 5, 79, 46457, 83, 62987, 983, 39689597, 3529, 26313797, 9649, 3, 97, 709, 74472847, 5, 66683, 7, 37331117, 2, 3, 97, 69239, 9887, 171881, 257, 719, 7226027, 3, 7187, 8101, 523, 9005327, 9685693, 4306583, 2791, 7, 9663683, 3, 8242727, 99469, 5575259, 887947, 421, 12895457, 631271, 409, 9371, 55901, 7, 971767, 251, 47, 558599, 1781053, 23833, 269, 2917, 9677, 149, 9677557, 95532289, 90799211, 796813, 911, 43, 2, 83, 9677, 4073, 41011, 85333, 647, 327853, 5527, 127, 5647, 191, 6290443, 263, 2641423, 6818621, 914191, 6311, 294001, 3259, 48266299, 971767, 42359, 41, 389, 84733919, 1442723, 191, 77003, 9851}

Returns: "01111100111111111111111111011111101000111111111111111111111111111110011100111111111111111111111111101111111111101111111111111111011111111111101110011111110110111111101111111111111111110011011011101111"
{3253, 83, 691651, 7613497, 1427, 24443, 49223, 4688329, 3347, 72287, 59, 876929, 61295393, 2357837, 3996529, 61, 291437, 6079, 50993, 1069, 6820721, 7, 2017963, 392059, 47, 85201, 5, 65809, 241, 9087193, 72161, 5, 159773, 26959249, 991, 479, 29, 39705559, 505447, 197, 3, 31993979, 9479, 604171, 505447, 7793, 88799, 503, 2, 9537371, 863, 61, 4514669, 97518247, 78341, 94889, 4013, 807479, 71, 857, 71, 823, 5462377, 52841597, 23, 5227, 887, 6701, 4740193, 67, 93896611, 563, 5, 97, 50144333, 34261, 2, 2, 2687, 7741, 18521, 971767, 62929, 2749, 667741, 3, 5, 8803, 33377, 42071, 294001, 22189, 3, 51647, 52201, 90203, 37384849, 211, 1811, 45599, 2, 7, 702017, 8090057, 127, 7420069, 128189, 42407, 67, 65974063, 1742969, 8825969, 7817, 647, 870047, 6046279, 3833, 59581, 24097, 4442927, 87511, 7129, 3569437, 97, 3, 4092323, 9608189, 7, 67168337, 13711339, 17545811, 907, 953333, 4096273, 8059, 49975397, 2, 971, 9833, 73, 775513, 42323, 83047, 39652703, 91004801, 1877, 9642047, 45833, 5, 52253, 3, 12241877, 953, 8269, 6904763, 2643181, 6834133, 97, 6413189, 7, 876619, 37, 7, 59, 7, 97, 99767, 2, 991741, 56269463, 88801, 1433, 47639, 19798483, 971767, 5659, 46591507, 56393, 42072431, 330853, 951367, 81677, 7, 8985959, 79757, 97, 17, 7365269, 3, 49559, 42197, 1289459, 347801, 5, 135757, 57433639, 84083011, 88934647, 37, 971767}

{6823, 11, 306653, 3085553, 2711, 74653, 97007, 3452497, 4861, 74873, 79, 868397, 27425521, 1384171, 7469797, 97, 234863, 3617, 19609, 6569, 6095893, 3, 6370543, 143881, 37, 89137, 2, 16427, 947, 1537223, 39551, 3, 576943, 37685633, 677, 569, 61, 33525619, 314779, 661, 5, 22859219, 4877, 864917, 266093, 6529, 47501, 613, 7, 9537371, 211, 97, 6210539, 97183003, 78167, 75437, 6571, 104971, 89, 643, 43, 241, 2837581, 60338461, 89, 5527, 367, 2767, 1524181, 79, 84159917, 587, 2, 47, 12090937, 74149, 7, 2, 2137, 8009, 98669, 811961, 89387, 4049, 499787, 5, 3, 6473, 83267, 76781, 971767, 80849, 2, 17903, 46663, 77557, 40842541, 457, 2699, 30347, 3, 3, 622067, 2328397, 401, 2937983, 723029, 66457, 29, 19216397, 2124839, 8333581, 1367, 223, 604589, 7160053, 1607, 92479, 26713, 4316749, 26189, 4931, 8639089, 97, 5, 1842769, 6638773, 5, 98977741, 24129437, 59381963, 653, 861599, 8610269, 3079, 67131263, 2, 937, 9781, 73, 121453, 95869, 75217, 44617561, 85344323, 5009, 4201811, 18269, 7, 15581, 3, 96973813, 647, 5233, 7820429, 1656773, 6895817, 73, 9537371, 7, 127877, 89, 7, 71, 7, 97, 99721, 3, 519881, 70850641, 86143, 6007, 38299, 86094937, 981577, 5519, 62572771, 18517, 75493643, 916261, 976559, 69263, 5, 6173731, 44381, 23, 29, 5285767, 3, 39041, 37967, 9700429, 636821, 5, 271211, 46527427, 66117679, 96451067, 61, 378569}

Returns: "11101111111101011111110111111111111111011110011111111011111111111111010111111111101111111101111111111110111111111111111111011101011111111111111011111111111111011111111110111101011111101110111011110110"
{307, 28951177, 418189, 103, 79, 5, 24919, 273107, 95287, 9187, 2, 739, 3, 9262697, 77557813, 55697, 801293, 40459, 17137, 4769987, 280547, 5, 37040039, 7, 2477, 7, 1204597, 805267, 73, 971, 43, 39383, 9067, 353, 8353427, 3877, 5, 79, 68495347, 60101, 10964027, 57427883, 604171, 99905873, 82005383, 326741, 7, 23, 10717117, 5009, 163, 7487, 571, 4637, 71711527, 7, 2927, 94746653, 5, 5505673, 9547, 7388831, 3, 2, 3319, 7951, 61381, 28027, 367, 761, 22031, 5, 19183867, 56429173, 37, 959369, 402239, 470227, 4297, 487, 7354913, 5733617, 18257, 619, 3085553, 5575259, 5879, 886007, 93077, 584141, 3607433, 3833, 677, 389947, 23159, 41, 777181, 3, 701, 557, 227089, 942061, 359, 99607, 73, 40879, 31, 415273, 7207, 8011, 7, 294001, 9537371, 127, 6720811, 7, 9907, 5743, 239, 1913, 5, 5095229, 23379847, 3, 3, 12301, 94113781, 24683, 76289, 8849, 48619, 11, 35842369, 35009671, 5, 3030739, 1530709, 16349, 803347, 2377, 239, 14683, 145777, 1251287, 2917, 76001, 302779, 709, 49667, 67, 563, 51368327, 2, 23053, 863003, 3686849, 376153, 3, 7186813, 41989081, 101, 24700751, 68871731, 4922237, 47, 53985703, 72211259, 58207, 9587, 457, 9749, 31, 7982543, 641, 971767, 3, 41, 191969, 20407, 3, 539129, 22013743, 83, 89, 1303, 3, 7, 87221, 98927, 41, 761, 4597, 997, 50513131, 7487113, 566833, 251, 3706931, 2474431, 708293}

{163, 40846763, 584141, 853, 89, 5, 63611, 915301, 58313, 4583, 5, 557, 3, 4061177, 55662653, 61703, 939661, 41759, 65687, 2079191, 413167, 2, 80552789, 7, 3527, 2, 9681559, 604171, 83, 937, 47, 56921, 1021, 241, 8572099, 8329, 2, 79, 76456717, 99823, 83802359, 97283321, 425317, 59120273, 44674171, 995009, 2, 17, 89146619, 3709, 761, 3637, 137, 2617, 36930503, 3, 9463, 97312819, 5, 9485033, 9479, 4321753, 2, 3, 1051, 7307, 29191, 97711, 353, 271, 22073, 3, 92277847, 41358913, 19, 886367, 944123, 423869, 7043, 911, 9931447, 7209541, 41911, 449, 4505719, 7194917, 9001, 864029, 98663, 175433, 5140067, 2273, 991, 872471, 50773, 19, 455479, 3, 101, 757, 948287, 971767, 307, 94709, 43, 38917, 79, 236749, 9851, 3823, 5, 971767, 2461247, 727, 1657459, 7, 8297, 6263, 809, 8167, 3, 6744229, 77516261, 5, 3, 91529, 18508601, 33613, 77563, 6011, 91807, 71, 20337529, 12786611, 2, 4393139, 7723811, 80527, 867793, 5351, 941, 42773, 555931, 1305571, 9811, 17377, 663787, 521, 46307, 13, 337, 33051769, 5, 32303, 924361, 9223289, 920971, 5, 5535841, 57642191, 647, 61513033, 64572737, 8567107, 23, 30964013, 90662083, 21067, 5519, 457, 8101, 89, 6764977, 631, 711517, 2, 47, 971767, 71549, 5, 373553, 64027631, 73, 31, 6719, 2, 3, 61987, 98867, 29, 293, 5569, 107, 48085871, 8157839, 722749, 919, 6842221, 2403277, 103067}

Returns: "11011111111110111111111111101111110111011001111101111111101111111111111111111111011100111011111111111011111111100111111111111101111110101111111111111110111111111111101111110101101111111111111111111101"
{8963, 73, 94543, 971767, 5834953, 2, 963043, 6012043, 7, 8257163, 5, 83880829, 29582557, 5, 3085553, 4261, 769, 98614231, 41, 7, 60496231, 2, 7681, 651251, 6094867, 68729, 29, 2, 760729, 113159, 78157, 57917, 8941, 98118457, 2, 2, 9537371, 90925579, 185903, 5, 41, 727843, 59443, 3407, 127, 36523, 73, 4567, 2, 885257, 73, 1303, 6607, 73, 43, 422101, 845083, 5591, 8872849, 431, 968321, 8275633, 8532761, 86341, 1723, 2, 79551067, 17, 94587463, 647, 934853, 17, 2671541, 376631, 52791797, 85546891, 8626159, 607, 7039, 19, 701, 505447, 39239, 9221, 5, 11, 7, 70297, 77741123, 17, 821459, 827, 164477, 2969251, 6602377, 281, 748637, 757, 991, 31, 41, 99409, 1321, 967, 821, 7851619, 83, 17, 61879, 4787, 5, 82727, 7, 56242891, 14947043, 96823, 1723, 97003, 1284487, 61, 73, 7, 43, 3, 3, 29, 134609, 11, 971767, 5023, 277, 146639, 3612319, 2, 8467, 35969, 41, 30829, 38585039, 55776551, 41463277, 1423, 440509, 37, 744391, 3739, 5291959, 8353427, 154333, 42023447, 653, 2, 7, 257, 8803, 97, 37098547, 2510447, 7, 641, 769, 1193, 564059, 47, 64082033, 248579, 81023, 3, 53, 344909, 59, 54563, 91751129, 13421, 3221, 281, 6841, 79373363, 1837967, 34398347, 536149, 46321279, 1315177, 37, 43087019, 29873, 7993, 9931447, 850147, 716827, 2, 76486559, 7927649, 2381, 3085553, 19, 8442059, 943601, 5, 8664413}

{8059, 59, 21929, 841597, 1283389, 7, 218963, 3679279, 2, 1693987, 2, 11593019, 43384963, 3, 2326663, 5323, 797, 30413287, 79, 3, 71364053, 5, 1997, 173699, 1799407, 19139, 97, 5, 584141, 765773, 85081, 27509, 8221, 11372087, 5, 3, 5487857, 98954621, 505447, 2, 19, 294001, 72503, 6271, 709, 99109, 79, 7333, 2, 929573, 37, 1021, 7867, 71, 31, 321007, 447641, 7129, 1282529, 199, 108013, 2394859, 1062599, 53791, 1531, 5, 27470437, 31, 37151281, 101, 615793, 37, 9051989, 151451, 31564661, 47692231, 1983851, 953, 8951, 41, 103, 624607, 79493, 3571, 3, 61, 2, 27691, 18543757, 31, 920377, 709, 972977, 4528957, 5302613, 937, 913571, 709, 103, 11, 97, 76147, 9283, 233, 151, 2017963, 71, 11, 37447, 5347, 3, 63689, 5, 36831029, 64824913, 48647, 1657, 60649, 9323449, 71, 47, 2, 83, 7, 7, 97, 860753, 83, 703531, 4639, 853, 350521, 4371613, 3, 4643, 95881, 73, 69877, 32670689, 44226703, 82764371, 3767, 324997, 19, 453157, 7817, 8865397, 4980959, 269029, 78470311, 499, 5, 2, 281, 5419, 31, 76389433, 2656987, 2, 367, 211, 9173, 104537, 89, 96903671, 908771, 36563, 2, 43, 478399, 19, 40163, 71364053, 83737, 8887, 829, 1889, 27755293, 5463893, 25556941, 255419, 95700509, 8142107, 79, 74218939, 10477, 1487, 3088879, 259019, 929573, 2, 74995051, 3383207, 5099, 6706033, 13, 6173731, 577807, 2, 5589593}

Returns: "11101111111011011111011111110111111100011011111110111111110111011111111111111111101111111111111111111111101111111011111111111111011111111101011111101111111111111111111111110111111011111110101111010111"
{322057, 85049, 1072327, 181, 71, 79, 9700429, 59111047, 5, 4091, 2699, 2690201, 5, 88551439, 9016079, 733, 971767, 20159507, 2273, 5978083, 75239, 15783473, 91837, 37, 227, 11, 3, 57177889, 73, 47, 521, 4930483, 53, 349, 87732157, 61637, 479, 5087, 36061, 45743483, 957097, 19, 2, 7, 36775699, 3, 45587, 9629, 13, 2017963, 839, 179, 569159, 449, 2099, 33060581, 88861, 5717, 41, 64627, 7031839, 41957, 36847, 269, 43573, 8941, 90263, 1005541, 54905537, 4098793, 898013, 104233, 89, 416513, 89320459, 199, 5, 463, 13, 1811, 67, 757, 97312819, 5317901, 862409, 3527, 78593833, 5, 313, 97, 8681, 596789, 5030479, 787817, 66923, 541, 920789, 85639, 83, 911, 7, 8863, 921191, 83199931, 4912489, 59, 65314439, 604171, 73143761, 69343639, 45077, 5807, 7982543, 7, 4425019, 7, 7, 67149403, 5760619, 83, 3209, 8861, 653, 797, 13, 93871, 83, 5, 2474431, 1547173, 79133, 67489091, 5726881, 3919, 37, 6673, 5228317, 293, 2883109, 70793, 17, 42446191, 975217, 57013823, 7, 3, 569, 4140691, 54507053, 3319, 4021, 833269, 67, 617, 23, 2, 8961299, 1282529, 8867, 1714439, 4934221, 3659, 8237, 73, 505447, 2971399, 83, 7039, 73, 460969, 56058043, 960353, 7, 71, 389, 83, 89809, 6140051, 677, 677, 5, 67, 67, 3, 3797, 28921, 51581, 60403697, 6754037, 27425521, 643, 359, 1101169, 341333, 121169, 23914571, 2659, 77317, 2, 19}

{886129, 66763, 5187937, 131, 13, 79, 4393139, 98240249, 5, 8849, 6547, 3482989, 7, 18431467, 1062599, 953, 187417, 11801639, 8293, 9271667, 59399, 97165001, 44851, 53, 419, 29, 2, 15973733, 97, 13, 509, 8290817, 17, 937, 74406583, 98801, 157, 3673, 81157, 75875309, 954259, 61, 5, 5, 43260241, 5, 14591, 7187, 13, 7933927, 191, 211, 968329, 277, 4447, 55577047, 47569, 8521, 53, 46591, 5285767, 59023, 66883, 149, 79273, 1553, 28901, 2290003, 88403543, 7587053, 131441, 516361, 61, 300967, 94776191, 809, 5, 577, 37, 1217, 47, 283, 22480351, 3015799, 814019, 5531, 22237307, 7, 919, 73, 2843, 294001, 9159097, 505447, 73309, 659, 257717, 22003, 73, 727, 3, 5737, 269177, 45475687, 3172303, 41, 32987659, 604171, 66455651, 43559569, 53569, 9901, 5351891, 7, 1685681, 2, 7, 31387393, 8581289, 67, 4007, 6451, 367, 773, 89, 96557, 89, 2, 8639089, 6078641, 99709, 27605741, 4279853, 8707, 23, 1303, 2671661, 719, 1465433, 16661, 53, 99122993, 970793, 32032799, 2, 7, 173, 9931447, 34758881, 4877, 7247, 604171, 13, 127, 89, 2, 6114149, 7204777, 4057, 1282529, 1127617, 6733, 2411, 43, 579881, 3591953, 71, 5563, 73, 673403, 36643469, 696109, 2, 73, 821, 11, 30851, 8532761, 373, 661, 7, 37, 97, 5, 8111, 79139, 23003, 23319343, 2777441, 33333143, 491, 613, 7232341, 937241, 398609, 25219217, 4969, 92627, 7, 61}

Returns: "11111100111010010111101111101111111111101111111110111111111101111111111111111111110111111110101111111111110111110111101111111111011011111111111011101110111110101111011111111111101111111111101111111111"
{5, 17, 1709, 7, 641, 81509, 505447, 3491, 883, 20212327, 3217, 933787, 10487, 1613, 9781, 829, 90053, 331, 6397, 5003, 29, 3374543, 131, 868409, 11, 394579, 499559, 4157, 919, 7432261, 137, 13, 661, 82761961, 953, 3, 42016033, 659, 5740429, 41, 79441367, 7537, 89, 991, 6173731, 547, 417881, 89, 2, 6803, 673297, 43, 5, 61, 7523, 3, 97, 5, 54751, 6737707, 7, 7, 690929, 29, 1274599, 46141, 61, 89993429, 8639089, 7879, 3119, 2713, 8329, 7459, 70571, 13, 57196567, 19450969, 43, 504799, 61403, 17, 20051, 9060629, 4877, 1549, 71, 379, 63565871, 11, 107, 2113739, 49204627, 9529907, 593, 24517, 7489, 89, 1524181, 3637, 419, 828059, 5308717, 57966761, 2693, 709, 24328567, 128411, 53, 32395607, 9773839, 45887, 7, 6323, 509, 33532067, 97, 9888943, 81388753, 8461, 864911, 997, 604171, 882029, 35117, 2879, 7877, 6508163, 21139, 8225153, 980377, 190807, 9473, 179, 34673, 74573, 5, 3276487, 52164071, 47230987, 177889, 47, 56636003, 42227, 89, 191, 7237, 53, 46489, 23, 97, 3151259, 2689, 7499, 96017, 615431, 4541827, 48353, 9608189, 33427, 39689597, 2913607, 18539971, 953, 2444881, 2346413, 5424847, 33473309, 470783, 85487, 947, 62834507, 887, 5, 81594283, 19, 827, 661, 991, 8299969, 149861, 80019101, 604171, 2474431, 21059, 89, 749449, 2167471, 5, 28537, 8094017, 11, 9659389, 947, 5419, 11, 2, 857, 541, 83331791}

{7, 71, 9721, 7, 433, 96587, 718547, 5087, 467, 13072327, 9281, 971767, 23567, 8629, 1733, 751, 13613, 787, 3041, 5471, 71, 9994363, 773, 884003, 67, 989249, 197381, 8677, 409, 7204777, 661, 11, 641, 64892869, 479, 7, 70006253, 647, 5285767, 31, 78450319, 8111, 17, 809, 8142751, 439, 346141, 71, 7, 6653, 751423, 37, 2, 19, 9859, 7, 23, 3, 73039, 6712591, 3, 7, 961459, 71, 7876237, 12703, 71, 68970457, 4630859, 2939, 4231, 9463, 1187, 8747, 11621, 59, 24591383, 84559091, 83, 407723, 26687, 89, 28663, 2997011, 2939, 6221, 67, 937, 96011191, 23, 643, 4535147, 29500111, 6374351, 389, 37889, 1451, 37, 9758537, 3049, 743, 464459, 4433059, 86504879, 7027, 293, 26175899, 209533, 43, 77844287, 6236179, 20347, 5, 8999, 719, 61363157, 19, 6173731, 54559123, 5413, 137507, 137, 617759, 839009, 70079, 6211, 2903, 2295179, 16223, 8901857, 294001, 184999, 4157, 677, 51431, 38903, 7, 1914371, 95708237, 11918381, 185153, 73, 93605279, 47189, 11, 977, 4603, 83, 41351, 67, 31, 3031981, 2267, 6619, 88721, 613169, 4139749, 93479, 3527723, 25457, 20034451, 5983277, 11286857, 647, 2474431, 3500953, 5974249, 11182397, 929573, 86491, 433, 89287073, 971, 2, 98390779, 13, 907, 613, 167, 8083679, 966149, 70717291, 505447, 1006333, 42719, 61, 439303, 6790009, 5, 31387, 1373959, 11, 7810223, 941, 4909, 43, 2, 521, 839, 87865871}

Returns: "11111101101011111111111111111011101101011111011111111111111011111110011111111111111111111111111111011110110110011110100111011111110111111101111111111111111111010111010101111101111110001111111101111111"
{134437, 8532761, 2447, 297049, 93573091, 23, 307, 16421299, 457, 33049, 4714561, 54575347, 43991, 106693, 541, 860579, 7, 573863, 12098707, 77699, 7974289, 199, 858223, 16253, 27647, 43, 113, 1524181, 29, 743, 3814127, 83, 9473, 359, 7, 7043783, 14657, 929573, 681613, 5849, 7473839, 7529, 7514057, 587, 73, 965893, 5, 49929041, 73, 67, 505447, 821, 5569, 2, 67, 4423, 61, 38167, 3, 62189, 90997241, 81594283, 197, 47263001, 677, 1438933, 5959067, 929, 17, 5, 5, 17971, 2, 31, 277, 67492571, 26474939, 8639089, 929, 9586567, 97, 1553, 2161, 5706641, 1629853, 59, 67751, 1693, 6827, 91811, 29180741, 6779, 1997, 97, 971767, 50056577, 709, 9995149, 59, 62071, 11128259, 3, 54923681, 37627741, 8805817, 383, 743, 22943, 7229, 83448367, 1807313, 9857, 2, 8117, 16691809, 6236179, 73, 86741491, 401, 641, 7982543, 949213, 79, 170921, 4333837, 584141, 2, 18229, 659, 7151, 70891, 83, 86879473, 61576517, 994307, 17, 7691, 3727091, 10973, 8563, 79, 87957607, 5, 389, 5, 3085553, 426229, 70498907, 53753549, 71, 2767, 2237, 89, 7797323, 70451, 8969, 35141, 1549, 7411, 879457, 442027, 953, 125107, 4393139, 584141, 326083, 80621, 62418107, 45105251, 641, 59791, 383, 701, 5, 97395497, 47, 9629, 7247, 59, 443771, 3559, 71136031, 23453603, 13627, 2, 75773, 5701, 48017, 2848453, 53, 82761961, 29891611, 199, 1589633, 5923, 71, 601, 6449, 197, 94903}

{949777, 3337721, 4349, 929573, 12915989, 41, 911, 41226391, 659, 85237, 5278331, 19495733, 34847, 830981, 397, 505447, 3, 894371, 70741529, 48313, 4005499, 701, 746839, 37871, 83459, 23, 743, 3029167, 43, 227, 8962381, 89, 7933, 887, 7, 9040223, 99859, 191119, 667921, 2851, 6529469, 2833, 8094101, 163, 59, 331843, 5, 19101553, 73, 19, 284743, 251, 8353, 3, 73, 3671, 59, 69481, 2, 52967, 29016227, 84401431, 149, 10554239, 367, 9931447, 1022701, 383, 71, 3, 2, 35051, 5, 89, 107, 51576961, 95517517, 7860791, 137, 3017087, 47, 2521, 5521, 2868001, 8431051, 13, 95107, 1289, 5639, 60659, 68432873, 4909, 2053, 97, 408763, 41897929, 509, 1743341, 13, 81239, 92025643, 5, 58904761, 34565081, 5382899, 383, 557, 31687, 7717, 63359161, 5152507, 2969, 7, 7829, 54868459, 4550401, 37, 83444171, 197, 677, 3326489, 604171, 11, 696403, 3947921, 454253, 5, 15601, 877, 2011, 35117, 71, 94353517, 91444999, 294001, 71, 7477, 9700429, 68813, 4691, 83, 82633877, 5, 179, 7, 3767891, 395113, 53673239, 62877499, 17, 2447, 6101, 43, 1797337, 20023, 7177, 93199, 1283, 9293, 294001, 170669, 929, 960217, 9842953, 393059, 400277, 41467, 87055763, 11553569, 353, 72907, 557, 431, 7, 50729603, 89, 4271, 2029, 89, 328721, 1657, 58256267, 92084011, 82891, 5, 45197, 5749, 28571, 1282529, 61, 22261469, 28996217, 743, 3570349, 5801, 97, 263, 6709, 751, 50587}

Returns: "10100111111111101111111111101111111110111111111111011111111100101011111111110011111111111111110111111111111110011100111100111011111111011011111110101111111111101110011011111101111111111111010111111111"
{1649807, 743, 72091, 353, 971, 137, 88817, 5076179, 69809, 247337, 7951, 71, 5542723, 239, 463, 5, 9901543, 607, 2, 56777477, 3, 5, 86689, 25763, 3571133, 23957, 9413, 6619, 2018453, 55148609, 8107331, 4813, 20790017, 6075089, 3203, 3, 79599613, 23561, 551963, 96142931, 9960187, 8853419, 3, 8941, 41, 5867, 317, 34487, 4649, 2, 787, 109, 12273181, 7298483, 9829, 27407, 19255231, 736787, 4457, 85599343, 3, 816401, 5, 2, 617359, 19, 633799, 2, 7, 79, 233, 881, 63237151, 3, 953, 4427543, 4494761, 79973, 346187, 17539, 859, 5, 601, 336761, 29, 80908697, 993287, 269, 739, 113, 71, 3, 6863, 683, 79100753, 432373, 56264069, 3, 701, 666461, 19, 89, 13777723, 6637, 608429, 3, 83, 9394241, 820279, 101, 739, 66635687, 97, 5573, 983, 45901579, 167, 15951679, 673, 33113, 7, 32182919, 113, 16273, 2973433, 17, 67, 402763, 33689899, 3, 719179, 2, 487, 13, 197, 709, 11, 3, 2579341, 51982621, 305023, 4931, 2, 35251, 33703, 827, 5485819, 31, 4513, 3520183, 7379947, 9883, 68449, 798737, 7, 948847, 247603, 3, 42307, 5, 76123, 170057, 793493, 99709, 608737, 331, 2817421, 37, 392831, 7, 7, 1987, 43151, 55621, 31019831, 449, 2561551, 4787, 7, 641, 647593, 19, 84794779, 560621, 7, 51674267, 19, 4513, 30253, 3, 5, 7, 34019, 9491, 2, 37, 3, 55639, 1713709, 88423}

{5913571, 401, 93601, 631, 431, 439, 60397, 4270391, 24851, 231241, 1721, 67, 4760237, 173, 151, 5, 9357083, 433, 2, 12609697, 2, 2, 90001, 78347, 8109097, 62467, 1499, 8539, 9163789, 10939273, 6229723, 1601, 98119451, 7768001, 6151, 7, 32435461, 50441, 741883, 99250187, 5494157, 2856923, 7, 1931, 67, 6053, 593, 84859, 4861, 3, 863, 919, 61914571, 7999993, 4597, 82171, 75612443, 538093, 1013, 35223703, 2, 265921, 3, 5, 978511, 61, 178351, 3, 7, 37, 347, 593, 76709051, 7, 127, 3253091, 7278041, 62323, 453599, 20663, 457, 7, 659, 803729, 17, 43743299, 759029, 347, 211, 601, 43, 5, 5333, 757, 60009121, 901279, 50499497, 5, 409, 643691, 73, 89, 96872801, 9281, 731539, 5, 43, 7142659, 714563, 613, 863, 27196319, 43, 8089, 257, 55421909, 227, 86645887, 263, 97919, 7, 63527831, 821, 69431, 7723579, 73, 31, 913027, 24354947, 5, 353833, 2, 283, 31, 139, 313, 47, 5, 5445889, 74606401, 299777, 4019, 2, 73259, 67559, 433, 9496411, 71, 6619, 4132883, 8390981, 5779, 35023, 386411, 3, 442703, 845879, 2, 42373, 2, 27631, 591659, 895421, 43391, 234217, 523, 5977501, 41, 896897, 7, 7, 4259, 47819, 57719, 38517247, 491, 4696597, 2753, 2, 701, 286457, 43, 14011013, 660809, 3, 22786679, 31, 5783, 99859, 3, 2, 7, 84457, 7499, 2, 89, 3, 15859, 7869403, 78553}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{250043, 23, 55691, 173, 3, 99431, 839, 59147293, 9333659, 37, 5, 677, 2, 7, 47, 6863, 99431, 59600591, 16892803, 72384709, 2, 313, 4694071, 7, 4951, 61854901, 118247, 9718939, 342131, 467, 71, 2632907, 3257, 79943, 709789, 57571, 20848231, 5, 461119, 353201, 47, 73, 73, 55427159, 887291, 39359, 69317879, 3907, 9079823, 71, 47, 5, 41863351, 793733, 557, 2741, 9757753, 71, 887, 5294287, 41, 101, 67, 63060311, 577, 82839529, 11, 73, 28147243, 47966323, 9886211, 3471917, 3, 490247, 409889, 44867, 2, 3, 85991809, 20147, 34617551, 547, 515153, 61336207, 240479, 83, 60783407, 179261, 6317, 1487, 331337, 3, 5, 7318009, 5, 139, 3613, 7121, 891001, 7, 911, 233, 7094519, 7, 96769, 41492027, 56252509, 3023, 39869, 67, 32890439, 101287, 15679, 43, 45817, 367, 8387, 5, 6191743, 43622951, 58089953, 6599, 4547, 59, 61, 486389, 81199847, 659, 317, 1051, 25662713, 8660033, 47533, 2482351, 50131, 3041, 661, 2, 5, 7135511, 42443, 7, 37, 37, 7489, 2137, 4877, 74583827, 8640859, 7, 739, 860759, 569, 8125319, 181, 4306279, 73, 983, 27211, 5, 557, 23, 7237, 549379, 528263, 1029989, 427787, 39791, 15767, 48449, 52391, 5, 71196709, 93503, 10337179, 81353, 3228847, 353, 892901, 91729861, 5, 59, 31, 17, 2, 2, 63203227, 3, 29599, 57217571, 953, 82156027, 7097401, 1979, 5309, 44449, 16267, 43, 8167561, 73}

{814003, 11, 36809, 521, 3, 90841, 439, 15212759, 4743671, 67, 5, 479, 5, 7, 41, 6353, 17443, 21777937, 59078161, 44819713, 3, 101, 2419553, 2, 4673, 90960041, 739847, 4338457, 164999, 941, 67, 1673461, 3793, 26267, 549937, 62597, 76741633, 7, 303679, 705209, 23, 23, 53, 74691137, 263843, 49121, 14841067, 6967, 4086773, 67, 19, 5, 47621779, 634157, 313, 8963, 6743267, 13, 733, 9871357, 17, 541, 11, 60457687, 173, 96176243, 61, 37, 15366889, 63997727, 2674943, 9277621, 5, 853577, 440987, 25247, 3, 5, 73290403, 73961, 74900179, 113, 243623, 55654297, 606083, 29, 61679231, 997663, 4703, 7127, 843539, 2, 3, 1810057, 7, 277, 6911, 6469, 807127, 5, 457, 103, 9882883, 7, 36761, 29936383, 52416599, 1579, 76597, 31, 48426671, 258521, 78823, 17, 16763, 457, 4663, 7, 7068353, 43179569, 37260637, 7207, 9851, 47, 47, 653749, 61753567, 643, 587, 2917, 78891299, 6390799, 97523, 6810907, 25127, 2677, 443, 7, 3, 2767343, 98627, 3, 17, 53, 8597, 6043, 6323, 14615231, 1603067, 5, 331, 447011, 113, 7156271, 317, 5027663, 53, 521, 71963, 2, 223, 23, 1627, 420859, 762187, 4071383, 423251, 86209, 24443, 86341, 32159, 7, 72938527, 29269, 46195381, 94811, 7710133, 421, 780433, 77094659, 2, 13, 29, 79, 3, 2, 84397699, 3, 44809, 71334563, 383, 95509303, 1482959, 1289, 3557, 70381, 33037, 29, 7169779, 79}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{653113, 69414617, 79602301, 29741, 9973, 1543, 93235691, 6747707, 431, 2, 71, 9719, 97, 21341, 52889, 29, 75391, 98389, 41, 82161613, 1704431, 17239009, 1667, 6080597, 522047, 229, 659, 53, 43, 7, 67682567, 3671, 9221, 9551599, 67, 4733623, 163, 839, 8291263, 6853169, 38333, 41, 16265939, 47, 6317, 7, 929, 606971, 39720787, 2, 2, 864757, 6102619, 55900639, 3493883, 3, 62884117, 811067, 22859, 38729, 56968739, 68219, 20863813, 431, 753799, 67, 4733, 25349459, 2083453, 1785491, 72008701, 36277, 8640703, 1129763, 23563, 8147, 35419, 71, 3754397, 12899, 47, 99893251, 19, 45833729, 5, 5669, 78033469, 551543, 691, 599, 881, 5, 269, 27203161, 7, 80933, 82813, 401, 94209883, 25342139, 431, 27047623, 13, 44847883, 19764163, 291853, 71143, 307, 4935167, 5, 87631, 113, 7393, 53350207, 1474283, 2, 53, 5, 5843, 4007, 29663, 2, 6555821, 233, 5197, 2, 68089943, 76379, 3, 75239, 3418067, 19, 88493, 5, 72497, 22584431, 2068939, 931657, 46391533, 719, 32788949, 43, 6353, 3, 57975451, 5341379, 882083, 32189137, 6173, 78427, 94915511, 52793941, 80141, 5894089, 3432019, 65990069, 1621, 5, 173, 2969, 941753, 7, 7867, 81749, 37, 7, 4680409, 4211, 8807, 8302181, 7994827, 5791, 7397729, 23, 13399, 15331627, 3, 7699, 29, 5023, 39904859, 71389, 3, 5, 113, 35323, 516619, 47, 5, 9157, 37999757, 3, 9425849, 4360793, 131, 484609, 13683727, 855521, 87277, 727123}

{373951, 69740219, 77710753, 79159, 2113, 5393, 74907449, 6283021, 193, 5, 59, 8447, 17, 62507, 21193, 17, 94933, 61927, 89, 21855011, 5713159, 62227601, 6469, 1534103, 919571, 293, 859, 17, 41, 5, 72675011, 6217, 7019, 6101653, 41, 5443393, 269, 277, 8301679, 5393153, 49037, 19, 39159859, 41, 4057, 7, 599, 392101, 57641737, 7, 3, 737327, 6094189, 84525107, 6045301, 5, 81596041, 469429, 90239, 11939, 55469221, 69763, 77379541, 953, 104383, 31, 8081, 96381671, 6026627, 5182949, 80393317, 99529, 8242777, 7226123, 78569, 3701, 96181, 73, 1477127, 24709, 53, 22247867, 41, 93961979, 2, 5869, 18689261, 366841, 563, 229, 823, 5, 953, 68120519, 5, 34259, 79309, 263, 82797179, 31700023, 257, 21279469, 71, 26255077, 31823249, 499349, 19373, 367, 9208337, 3, 82469, 613, 4409, 12493049, 6387413, 7, 37, 2, 7151, 9239, 95737, 7, 1620973, 601, 2351, 7, 35677211, 43133, 7, 54319, 5399221, 19, 81439, 7, 95773, 37420739, 4257641, 179021, 95010781, 641, 23103853, 79, 4273, 2, 71162449, 8373917, 278911, 73503433, 1367, 11273, 36234589, 99631759, 61339, 5586043, 4989707, 58703531, 8069, 2, 199, 2803, 179633, 5, 9391, 99929, 61, 2, 2102647, 9257, 5449, 1362511, 8330827, 8447, 8377151, 47, 29179, 49177483, 2, 5119, 41, 3079, 87973867, 73571, 7, 2, 919, 12917, 786061, 31, 3, 9623, 98806823, 3, 4139423, 8796523, 499, 322501, 93110023, 903103, 71549, 147571}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{3, 487, 35943683, 641749, 875491, 2837, 2, 409, 8651459, 417961, 37, 1949, 52758637, 63671, 877, 51907, 4145299, 32237, 19, 829849, 223, 31, 2, 26785757, 65921, 7, 557, 17, 31, 2, 419, 33603469, 947, 353, 1249, 313, 59693, 52778683, 70045519, 241, 451541, 331, 3673, 61, 1739239, 4719457, 818393, 53, 67532791, 69231397, 7, 6607, 31, 48847, 727, 69884393, 931237, 792107, 3, 19, 3246193, 5851, 4935521, 617, 23, 5780287, 5867, 542323, 8599, 703231, 10267, 28560977, 3, 59, 225157, 83, 11597, 2003, 31, 8429, 691, 6842441, 79, 678061, 5559431, 1302349, 50971, 9096667, 19, 87121, 613, 2, 37, 32579, 3833, 5947061, 2087, 90144647, 9061669, 75797, 5685857, 2, 5827, 259211, 97, 71237, 6825307, 1193, 2, 14347, 80963, 197, 13103, 7459, 22067, 999239, 59149, 3859309, 5, 193031, 7, 5569, 64058921, 922079, 883, 7, 394579, 4048973, 5, 6043, 59, 353, 368233, 550973, 83, 31, 71, 3, 37, 88327, 1294823, 331, 93703, 7, 883, 129581, 5, 28437251, 2, 79147, 48305303, 23, 78473851, 20787373, 57535529, 89, 362081, 5, 83, 5, 3, 5477, 409, 509, 103, 13, 499, 984457, 4157, 253949, 37, 6691, 40814791, 29, 109, 4903, 509, 37092329, 5557, 361279, 73, 25313083, 7, 8971, 69863771, 2309, 2, 3469, 805033, 5412467, 3, 6079, 151, 29705461, 981221, 583397, 89, 9463, 2, 6427}

{5, 919, 62717843, 946037, 353173, 6967, 5, 839, 4198307, 953023, 11, 3547, 76707793, 57221, 229, 40241, 7468711, 78803, 97, 261643, 971, 53, 7, 15154621, 15551, 3, 193, 73, 79, 7, 421, 19420829, 353, 233, 1777, 617, 56239, 79985671, 79983041, 953, 571853, 719, 7523, 29, 9170723, 4231277, 307577, 43, 52971059, 76816819, 2, 1607, 89, 37013, 307, 73451711, 746069, 251323, 3, 83, 1924303, 8423, 9031901, 233, 61, 5844997, 3469, 651503, 3511, 241363, 53269, 25758599, 2, 97, 889337, 11, 28657, 2371, 47, 9941, 389, 3582737, 47, 752053, 4709291, 6565739, 24473, 6222991, 17, 77573, 293, 5, 79, 72497, 7759, 7067311, 3613, 18620761, 7214507, 43313, 4767391, 5, 5939, 193649, 59, 56813, 9296983, 2459, 2, 82571, 87743, 919, 19427, 7177, 21247, 179533, 57037, 4600027, 5, 140761, 2, 1789, 99709457, 155783, 367, 2, 312937, 6001277, 7, 1607, 23, 317, 274093, 734291, 17, 67, 31, 3, 13, 29243, 5232449, 433, 34703, 2, 983, 880421, 7, 45500179, 7, 13171, 96066389, 59, 45427061, 34887163, 15896623, 17, 348053, 5, 23, 7, 5, 7039, 503, 389, 373, 31, 113, 993011, 3109, 414461, 53, 4423, 65069909, 11, 947, 1091, 601, 40715551, 7727, 720319, 67, 88712333, 3, 9587, 55749637, 2017, 5, 6143, 118043, 6885127, 7, 8543, 499, 65989817, 540283, 574367, 13, 2087, 5, 4327}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{19, 76717, 25958417, 653, 639839, 13267, 2, 676721, 79, 19163323, 710813, 41777, 59443, 57917, 17, 227, 2267, 8171, 48575473, 48091, 66066431, 673, 7, 40189, 95713, 66074387, 5, 523, 5346647, 9857387, 2963, 7, 53, 7795709, 2, 453913, 61, 34327, 47819, 347, 33377, 17, 666089, 76831, 2621, 503, 314299, 12240469, 409, 92743787, 193, 47, 5, 23919661, 661, 5716013, 83, 10937, 71, 2075669, 277, 5, 47, 553171, 65599, 65147, 89213, 7369, 32157287, 54371, 38261, 46771, 61099, 6571, 617689, 451439, 4576067, 13009, 2, 7351, 137699, 3, 209767, 3671419, 89, 31, 92569, 1723, 659, 739, 37, 1973, 83658769, 4095401, 76894693, 47123, 6691, 7, 295973, 2753, 2637959, 9511, 207199, 31, 191, 41560927, 19469, 10913363, 3445909, 41061829, 10011851, 19, 90845129, 596917, 17, 902017, 251, 3701, 8713, 253769, 6563, 900443, 7, 73, 3, 88919, 3, 73, 95601707, 1286177, 7309, 75037, 14983, 7, 23, 457, 59, 617, 7174177, 79, 80671, 7106069, 98897257, 2, 58231, 5085401, 5927, 891251, 78920903, 682607, 1117, 2675201, 809, 74612777, 3, 43399, 12530993, 9491, 2, 512821, 449, 11, 76807961, 2, 1701709, 43, 4751, 9570857, 47797, 3547, 191803, 961159, 2131, 596093, 3943, 2137, 727, 25933, 2769257, 43, 2, 5, 35569343, 3361153, 956749, 36767, 27145351, 961679, 151, 9473857, 146917, 3037, 47594557, 727, 2687, 3, 3011, 39029929, 8171, 557}

{29, 27277, 73532743, 991, 392069, 56053, 2, 136963, 13, 12177523, 442193, 31751, 41257, 84719, 89, 761, 3391, 2557, 23293541, 56843, 10010159, 227, 2, 98963, 11173, 29528669, 7, 347, 9213221, 6462101, 2383, 2, 53, 8681587, 7, 642997, 47, 39827, 28351, 359, 11443, 97, 159491, 81457, 6427, 773, 772913, 93061627, 163, 23629393, 983, 37, 2, 64488971, 157, 9193259, 53, 62507, 83, 2506079, 953, 2, 17, 237157, 33703, 37337, 13781, 3559, 10802069, 80777, 18133, 98221, 93229, 3343, 715877, 984913, 4895279, 23833, 2, 5647, 278549, 2, 393451, 8997017, 41, 89, 92077, 1453, 151, 907, 37, 4271, 96238579, 3157577, 69334579, 35107, 2963, 5, 575699, 3389, 9089621, 3797, 391537, 17, 337, 14092999, 70921, 68483171, 1943639, 97658129, 44129713, 11, 66977873, 181183, 59, 247943, 149, 3469, 5009, 129289, 5897, 139361, 2, 61, 2, 24517, 3, 13, 44927921, 8718811, 3701, 88937, 22697, 2, 61, 881, 41, 677, 3566579, 83, 53069, 7065143, 55958183, 2, 61871, 2469421, 1789, 111641, 44842877, 621371, 1879, 3775571, 617, 97814183, 7, 23563, 80751859, 1051, 7, 802783, 101, 97, 57576721, 5, 9010633, 71, 3191, 4868651, 53239, 3511, 238417, 850181, 6263, 587519, 3391, 5261, 839, 32779, 6323743, 59, 3, 2, 23181377, 2698079, 435653, 55717, 63303403, 360257, 523, 6976787, 315013, 8581, 51648497, 181, 2383, 5, 4463, 90460211, 9629, 239}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{53, 581767, 281, 505657, 43, 8389, 2372221, 9473, 5644207, 22873153, 638839, 919, 4450561, 5, 4452803, 698701, 89, 97, 7039, 3, 7, 11189231, 2, 59197, 9479, 337, 5, 17, 86269, 518153, 9869267, 43, 127, 10513, 92353, 5297, 6434843, 61, 43, 9547, 9214859, 79, 285191, 29, 471907, 83, 11, 67204637, 26387, 72671, 75823469, 379993, 819449, 3, 83, 69677, 2213, 1637983, 8523733, 55434551, 2, 5379277, 701, 93992401, 79, 5099, 53, 89, 50599, 70969, 51941, 67, 1101781, 7180507, 63067, 95917, 96780127, 40213781, 4201, 1795511, 5187487, 619, 3, 42197, 7, 1217, 7789, 97, 885823, 9311, 15497, 3, 69259, 2719, 73189, 59, 781481, 3, 7951, 17077, 6654019, 173773, 42193, 14066237, 2904257, 738109, 19824257, 40801, 1867, 2, 73, 694079, 641419, 6659, 647, 673, 3, 507607, 17489, 877, 19, 61204967, 11423, 7193, 65671069, 2846033, 3, 419, 155387, 29753, 5233, 5, 59, 11, 2, 58943, 2017, 22171, 769, 89, 43, 652909, 2, 43, 5659, 78969647, 3, 5325217, 3499523, 8390663, 2126387, 37, 2883113, 53, 631867, 409, 478403, 4966697, 37, 547, 2648449, 3, 769, 5113, 5952077, 83, 211, 61409, 7853, 59, 81852283, 78896533, 196579, 661, 98740049, 5, 53197, 367, 3, 8507321, 5, 3773773, 79, 2, 2239, 43, 45953, 5, 14503, 43, 47, 227, 54773, 509, 21180737, 31, 103, 2689, 397, 127}

{41, 957701, 733, 187177, 73, 9949, 5532437, 2341, 9882407, 89899097, 608347, 863, 6520453, 7, 7224251, 539729, 73, 89, 8971, 3, 5, 52591849, 5, 55009, 5869, 727, 7, 79, 50411, 380179, 7739647, 97, 373, 75133, 47123, 4283, 7180883, 37, 13, 2927, 8451929, 23, 903359, 47, 602603, 89, 61, 48352391, 93629, 59753, 28790731, 129119, 856703, 3, 23, 76537, 6917, 2421053, 3058871, 22919291, 3, 5744957, 191, 91875347, 23, 2129, 47, 47, 71191, 21407, 52981, 37, 4751849, 1552613, 89521, 83833, 72259981, 57815561, 5279, 7151147, 2943503, 571, 7, 98837, 3, 5153, 2903, 17, 403567, 9349, 90697, 5, 64151, 1063, 16301, 79, 452077, 7, 2063, 52691, 1501943, 755551, 20693, 98677547, 7558643, 950239, 24597407, 50857, 4139, 7, 53, 741913, 512497, 2719, 271, 499, 5, 707143, 68881, 773, 97, 66509273, 12143, 1459, 73899937, 2492603, 2, 239, 827821, 20399, 8641, 7, 53, 31, 2, 95629, 3643, 32561, 757, 19, 59, 146833, 7, 17, 7547, 75620917, 3, 2262443, 1797293, 4797851, 2555617, 61, 2672273, 83, 334541, 317, 391403, 4150043, 53, 587, 5187667, 5, 487, 6829, 3830539, 13, 811, 15329, 7919, 89, 13539161, 36573833, 214603, 953, 28533761, 5, 84137, 773, 3, 8637319, 3, 2904661, 19, 3, 6703, 41, 73433, 7, 53861, 17, 13, 461, 96469, 769, 30843629, 67, 809, 5923, 383, 491}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{510179, 23, 89811167, 199, 1405511, 11, 93427, 3163, 5, 2719, 7459, 7, 71, 9822359, 47, 35291, 79, 89393, 499691, 5, 1923547, 5, 7, 991, 401, 3592243, 7, 857, 54536123, 9067, 51320299, 5, 83, 37796039, 7936333, 19139, 61, 31, 5, 7235821, 343963, 967, 917843, 43469077, 91493891, 662939, 513899, 43, 564973, 652573, 73, 3, 839, 9800617, 76133159, 78987941, 33113, 2961019, 12228421, 1874723, 11434079, 17, 9907, 3, 5825671, 47543, 2745497, 959927, 937, 71435093, 5, 41203, 746069, 61, 6380161, 375169, 37, 29, 7067707, 883661, 7901, 107, 73, 36527, 11952541, 1753, 401627, 5657, 41, 7, 820133, 2, 179, 5017513, 365257, 976477, 19, 43183069, 695371, 297719, 5458489, 31, 71, 163243, 2955041, 83, 452159, 419, 157, 5851, 24379, 59018797, 1079009, 90917, 4027, 33911, 499, 37, 6173753, 97, 659, 80504821, 5, 3298367, 3, 3001, 353833, 88375477, 14127601, 77267, 7027, 3061, 31123, 2, 86113, 15499481, 821, 733, 67, 61, 1315969, 1889, 47036749, 643, 8725421, 7, 78737, 69763, 337, 2969, 3, 662149, 7, 41, 69145667, 131, 65101, 12809, 83, 29, 193, 21599701, 2141, 449, 21377, 9914693, 5975513, 2, 4922773, 419, 14897, 33149, 2543, 337, 2399, 8273, 31379, 283, 659, 285497, 4695149, 59948387, 2833, 18593, 997, 704551, 45600091, 92381, 727, 7, 73, 14755451, 163, 48869, 11, 594823, 3958091, 7109, 1361, 7697971}

{961069, 43, 16219501, 563, 8433443, 37, 64901, 1789, 7, 4679, 3863, 2, 29, 8996017, 59, 88789, 79, 39869, 401953, 2, 9236131, 2, 5, 739, 509, 4973303, 2, 491, 63884339, 1747, 75257551, 7, 41, 49396967, 3308447, 84181, 13, 31, 2, 6747971, 280729, 593, 891067, 26952181, 76970947, 688201, 638857, 23, 795997, 456461, 73, 5, 563, 2922989, 66882911, 20264929, 58613, 7986331, 52652153, 1693493, 49074769, 43, 4679, 3, 9836773, 99137, 7394687, 881539, 433, 74219879, 5, 75793, 833821, 83, 9919487, 267199, 37, 73, 8845901, 241453, 2027, 349, 19, 66541, 29630261, 8147, 683777, 9173, 67, 3, 427957, 2, 701, 2304521, 582541, 325813, 17, 61232981, 231961, 525397, 9168403, 71, 17, 234323, 8427739, 71, 886909, 383, 593, 2281, 77041, 19047929, 2310751, 98297, 7753, 49157, 227, 13, 9129959, 43, 613, 93059167, 2, 1891049, 7, 1427, 495421, 72400019, 41313089, 47659, 4159, 6991, 84307, 2, 47741, 79408097, 967, 701, 59, 97, 6498211, 5641, 17216417, 607, 2436037, 5, 41549, 30109, 701, 5639, 3, 944563, 7, 41, 29458813, 397, 58921, 40193, 73, 67, 359, 63588683, 4127, 677, 11887, 2275057, 1271317, 7, 2495657, 593, 84991, 86029, 1181, 857, 8461, 9479, 28871, 229, 101, 940531, 3717731, 17542717, 3457, 91673, 947, 706403, 89716433, 25309, 577, 7, 67, 32689697, 853, 77521, 47, 280589, 4093289, 8819, 8501, 4790377}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{1743433, 7585387, 99787, 467, 7559, 479, 857, 61, 3, 31, 953, 19, 730799, 109, 1153, 491, 506357, 3797, 96777119, 490367, 46147, 4348709, 971, 8209, 324697, 829, 6402629, 41, 7879523, 73913993, 88919, 5741, 43, 44789, 43649, 3625487, 227, 84809, 369419, 60331, 4831, 45121, 761, 23, 6673, 11959, 2834369, 37937069, 29, 92221, 320219, 5, 4987, 3, 33893, 2399, 64886771, 5, 2192249, 20887649, 97423, 2, 5589167, 73, 9133, 317, 12253, 563, 467, 73, 661, 2, 11, 130699, 31853837, 67, 3, 937, 70085791, 7, 3, 19489, 674183, 1541377, 5128489, 4657, 5689183, 7, 41, 2198159, 24558361, 7, 89, 5, 27077669, 23, 17, 173, 55259723, 223, 820271, 503, 5, 491, 57697, 905207, 88891267, 263, 99147127, 13735087, 691, 34700143, 8263, 5711, 5799991, 163, 457, 121531, 367, 59629, 21149197, 60539, 19, 37, 5923, 92033521, 8542151, 461, 208121, 642457, 972943, 263, 19029707, 95203, 4339, 5, 11, 42337, 698729, 227, 9161, 457, 1578043, 521, 71, 5417, 31, 4114717, 34692227, 3538189, 2, 82163, 6754751, 5, 673, 26583449, 84924127, 5, 456109, 653, 84551, 47, 5639, 167, 71, 308141, 4439509, 518471, 86921293, 7, 829, 47, 39979157, 41, 17, 911, 776047, 369553, 3254221, 67, 2357, 810653, 3761, 787541, 67, 6997, 43, 8609, 31, 29, 630997, 5, 268459, 57116687, 2, 953, 61, 411841, 1559, 823}

{1782551, 3111077, 15959, 419, 6143, 653, 223, 29, 3, 89, 839, 67, 257123, 827, 9491, 857, 133831, 9743, 89626903, 831599, 39113, 4528429, 421, 9839, 774661, 727, 9485537, 19, 1942027, 83024171, 17597, 7577, 97, 52387, 68389, 2151473, 479, 39733, 905767, 75989, 5417, 34033, 359, 11, 5581, 33589, 2532311, 43154701, 71, 65867, 239831, 5, 6121, 5, 51031, 9973, 27045971, 2, 7289167, 34212617, 53617, 2, 8412409, 11, 8017, 941, 36979, 887, 863, 97, 719, 3, 59, 316037, 84684751, 61, 5, 409, 58178173, 3, 3, 12487, 627101, 7299937, 3025819, 8861, 5013427, 3, 61, 2096533, 94504013, 5, 31, 5, 23562277, 47, 17, 613, 73929221, 557, 668599, 787, 2, 337, 49211, 444863, 70327811, 743, 12011357, 48849803, 383, 85146707, 2689, 3929, 4469599, 617, 883, 616507, 311, 23059, 84022423, 86371, 47, 47, 7213, 30661583, 8210801, 631, 146617, 831287, 587519, 229, 32976521, 69379, 8233, 5, 13, 53611, 131041, 733, 7477, 547, 4707977, 571, 43, 7621, 29, 7019029, 64348681, 8456389, 3, 95773, 5363711, 7, 317, 40640363, 85868621, 3, 659843, 431, 40973, 71, 9629, 761, 13, 492629, 2761547, 335221, 72086683, 5, 601, 59, 12322703, 29, 97, 239, 306359, 372539, 1630021, 97, 3319, 872243, 6143, 598379, 59, 3719, 47, 1733, 31, 83, 886241, 2, 456013, 97229879, 2, 277, 61, 381629, 2399, 227}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{809, 8827739, 2272351, 8647, 14783, 66529, 680039, 7591, 292351, 2, 984367, 3, 9257497, 73, 7, 6197, 415171, 2, 96414467, 113, 34673, 281, 7559, 6811591, 839, 3, 67, 69895489, 65148613, 3262241, 562967, 33134447, 107, 51239, 11, 147881, 110729, 310931, 59, 3973861, 45949, 3, 10631, 80657, 2677, 29, 2, 6247321, 8831, 14082997, 38713, 15656129, 37, 1469047, 32467, 18349381, 958669, 67, 7, 9791, 7, 7283, 2963, 9679, 23960773, 13, 232741, 967, 3089, 7001, 5883487, 911, 2414689, 1624111, 2, 9362069, 31, 859, 68987731, 557, 91813, 71, 5, 773, 741001, 3104267, 1409, 151, 80233, 67, 4889299, 37, 62058779, 727, 6431507, 461, 7, 354097, 3271, 7418669, 3, 5, 3, 9364409, 3, 84298603, 43, 2134751, 727, 46811, 542539, 2999, 77590679, 311, 522449, 29941999, 6357083, 36067, 6143, 7, 84199, 261379, 592219, 311, 9249263, 7, 997, 947129, 525817, 75524041, 47, 929, 829, 163, 2, 7949, 25391, 53093, 5, 86143, 72923, 35573, 79, 797, 47, 23291, 23, 3, 3733, 72981379, 77849, 72213577, 74573, 181, 89, 23, 181, 76561493, 57713, 30166039, 73010017, 9224669, 5582207, 7, 2, 8399641, 77347, 7, 7996381, 321961, 4409, 52883, 2069, 3779, 2827687, 9514979, 8862229, 5, 98993, 608299, 28319, 45599, 60427, 643, 5125327, 5711, 263, 4947203, 317371, 6529, 2, 9883, 9433, 598669, 613, 947, 74099, 66763, 6163, 8767877}

{439, 8837011, 9523643, 1493, 92863, 53923, 673787, 2381, 188999, 5, 797021, 3, 4931327, 83, 3, 6581, 339067, 2, 86467681, 653, 80923, 211, 9967, 9451829, 269, 7, 29, 67588627, 34026481, 6159619, 959561, 36586453, 601, 70201, 89, 638699, 449767, 672107, 89, 9572111, 32323, 5, 84811, 36913, 9281, 59, 7, 7673759, 1931, 28956131, 75269, 76170707, 29, 9738529, 59393, 23454023, 302297, 37, 7, 6343, 7, 9463, 4813, 3853, 86157947, 79, 196499, 977, 9649, 9461, 5520859, 919, 2185949, 6731117, 2, 4670819, 71, 439, 29236951, 431, 25601, 79, 7, 613, 640039, 2732473, 3581, 257, 94331, 41, 7572637, 71, 54183247, 179, 7123003, 317, 3, 434111, 1171, 6508081, 5, 2, 5, 7987687, 5, 23013283, 97, 9727693, 397, 70687, 211217, 5087, 73990097, 509, 155231, 18791567, 6977177, 34679, 1093, 3, 63737, 198647, 107227, 191, 1358471, 3, 197, 578881, 127261, 12048319, 83, 887, 857, 191, 5, 6091, 28513, 82811, 2, 72671, 33529, 84401, 71, 739, 11, 45007, 13, 3, 3803, 49110533, 29101, 48075061, 38501, 773, 71, 53, 263, 35046383, 23173, 17232389, 48874433, 2608601, 3801143, 7, 7, 6900731, 64381, 2, 2137979, 414773, 4871, 96263, 1759, 2017, 1483171, 8949649, 7063213, 7, 10457, 115933, 10937, 64301, 12611, 563, 1162943, 4561, 823, 1393939, 772771, 5843, 5, 1049, 1951, 668347, 569, 359, 66643, 19471, 5443, 1519549}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{1697, 142573, 19, 293, 15991, 61543, 839, 677, 1959401, 2, 69264563, 40310953, 9887, 3, 3, 59, 7, 5733031, 19, 72976619, 3847, 2920783, 421, 23431, 27045841, 74422849, 957959, 8865929, 9446839, 17, 159763, 45497, 54721, 3005747, 7879901, 5623507, 98779, 433, 83, 59, 53, 17, 3, 13, 12301, 37, 31, 536023, 8243, 6841, 3671531, 32139829, 29059, 2, 4747949, 8781967, 83077207, 4892737, 31, 5122517, 3, 659, 643, 563, 263, 3, 73, 1831, 7, 3, 4752733, 37, 36559, 958963, 59453123, 14717, 78664139, 2, 761531, 61, 22834589, 94819499, 17918167, 96487, 7973117, 1223, 79, 56637409, 4129, 3329087, 3090371, 94477, 947, 577, 14757653, 601, 912467, 2, 91886939, 977, 37, 2549, 47, 45729379, 6367, 8761, 73883, 930287, 1177843, 94819, 5, 59, 82666261, 59, 193, 3, 42488723, 5, 31, 826351, 8123, 43, 90271, 915547, 2, 17713, 409, 83, 74835011, 865537, 5393, 11369, 7879, 811, 12416773, 86192213, 3511, 43, 90127, 96527, 2441, 7043, 89653, 5954731, 137, 983, 1675369, 52803301, 1987, 910519, 53, 7459, 20011, 11, 99138797, 78182417, 20347, 53, 48766321, 666857, 17, 1449863, 17, 63353, 3643, 73043, 4876301, 3765011, 9781, 3169, 659, 461, 2, 7492781, 32503, 149, 62417, 17506157, 443, 293, 283, 916501, 21269, 951637, 17, 2, 2, 478421, 83, 6337, 90820229, 7, 22613, 18541, 717851, 89, 31387, 2346473, 5689, 3}

{1013, 798691, 89, 701, 13613, 46351, 547, 367, 9354383, 2, 10574327, 95827343, 7457, 7, 7, 59, 3, 5109859, 19, 64450733, 2339, 2797363, 641, 41023, 33630011, 89198443, 828811, 7848041, 8709677, 97, 495569, 29671, 19753, 6108541, 9441833, 5139301, 50951, 421, 37, 47, 67, 89, 7, 29, 64033, 17, 71, 477361, 1861, 1033, 9802691, 93779897, 78229, 2, 7567891, 8658413, 80325253, 4768763, 71, 3187469, 7, 971, 479, 127, 503, 5, 43, 2477, 2, 5, 5494549, 89, 13829, 535243, 82111013, 69809, 22027931, 2, 173573, 73, 11369213, 19291759, 38848343, 96329, 7207153, 4457, 71, 58211563, 2857, 3359263, 1593167, 50459, 211, 181, 20178647, 113, 329587, 3, 26422729, 593, 17, 1163, 59, 23283329, 3119, 5119, 72313, 956401, 5897707, 23741, 5, 11, 11477201, 13, 163, 5, 20268749, 5, 47, 786337, 4649, 59, 68501, 885893, 7, 61583, 269, 97, 71894203, 599623, 4583, 71479, 6427, 307, 34632209, 72690697, 5531, 97, 95111, 93787, 2837, 2971, 11969, 8596897, 433, 653, 7244999, 95215301, 6577, 563623, 53, 6047, 75553, 97, 23663179, 18192047, 82793, 47, 92555941, 778963, 53, 6879079, 59, 96697, 9137, 38713, 9484337, 4713889, 6007, 8209, 251, 997, 3, 1925507, 81331, 727, 81611, 56172247, 311, 229, 829, 923509, 28283, 126223, 59, 7, 3, 424169, 23, 7229, 47372233, 2, 77969, 82781, 555593, 29, 15551, 5397473, 8849, 5}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{2, 525167, 919, 4112191, 7, 59651, 66853, 276049, 5861789, 5, 44086673, 27697, 29017, 623893, 9907, 2, 39293, 61199011, 6006601, 49037, 823, 17, 43, 71390387, 6210551, 710383, 1889, 7432273, 11027, 14091667, 23, 293, 7, 66739, 60733, 67, 90459553, 79, 5590303, 17167, 719, 37, 1319, 4700537, 88521677, 3, 43, 89255311, 53, 18169, 4946671, 2, 67489, 3343, 110681, 3, 41, 78487, 5455561, 592337, 45621019, 1538731, 79813, 419, 76541, 628097, 2, 50599, 71, 34488721, 521, 1777, 718801, 647, 61, 71, 823, 237143, 2473, 1847, 7213, 13, 75503, 7, 233, 6330193, 289241, 3, 83591, 61002827, 5092387, 2, 2099, 39979, 65309, 23, 30213529, 33360631, 756289, 641, 71090249, 46273, 8110541, 797, 43, 15787, 328171, 9111709, 4547, 97, 599, 641, 433, 4606597, 7219483, 991409, 47, 9915833, 123637, 641, 6623707, 9180641, 6113, 3, 283, 234181, 127, 2, 4767761, 67, 58243, 158867, 11, 6090001, 24798041, 506629, 5281, 5, 977, 5309, 8248157, 1753, 4637639, 86609597, 5593039, 7, 7477, 7, 525253, 25518827, 5, 22303067, 709, 5113, 8933, 17431, 256337, 19035253, 2551, 22569373, 1801469, 757, 257, 125269, 8221, 9209, 937, 29959, 2, 229, 82721, 81701, 53317487, 67, 4357, 9419, 3, 861703, 6397, 94677287, 75318937, 30427, 680453, 147353, 94605961, 870323, 42473, 59, 3137, 539347, 6902711, 441461, 32999, 988357, 8673611, 71, 7307, 6690583, 6579919, 55933}

{3, 558499, 757, 6491207, 3, 93407, 35227, 695377, 9853159, 5, 84759491, 55933, 43777, 452077, 3221, 5, 63793, 15659269, 8716891, 75041, 877, 11, 41, 86009303, 3924281, 576769, 6229, 1597187, 84401, 38608123, 19, 853, 7, 71329, 66541, 73, 13718927, 67, 3149353, 10513, 941, 37, 8221, 9392521, 10119731, 3, 43, 77026841, 71, 20873, 5088511, 5, 26959, 4327, 541579, 7, 61, 52027, 7038047, 502063, 52044583, 1392089, 58031, 883, 80449, 331819, 7, 58207, 47, 78112373, 283, 7817, 492413, 503, 71, 13, 727, 825947, 4957, 9839, 8161, 41, 77549, 2, 863, 2201033, 452269, 5, 51787, 20434789, 4220353, 5, 2647, 58367, 59219, 31, 32663143, 27120043, 600371, 911, 72540947, 47717, 3626053, 373, 67, 27697, 875731, 2457943, 5527, 43, 853, 283, 743, 6680579, 1014631, 536929, 11, 1221449, 830741, 937, 8573759, 9408337, 8963, 3, 587, 136727, 557, 3, 8164033, 17, 62533, 441281, 67, 5077493, 40660951, 662617, 5077, 3, 359, 5531, 6227783, 4289, 4188763, 42966611, 1633201, 2, 3463, 2, 887941, 44708837, 2, 17217649, 181, 1361, 2293, 94033, 741227, 13112243, 9059, 39651761, 9120739, 911, 619, 174017, 8597, 4973, 577, 89681, 7, 419, 81899, 64891, 51476963, 73, 8963, 8171, 3, 721351, 3877, 49874309, 73518241, 61091, 830267, 815627, 93957503, 561061, 87911, 97, 7069, 587563, 2444531, 665293, 54311, 956177, 8743409, 31, 2749, 6042749, 3721621, 11057}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{19, 61, 677, 13, 19, 398261, 7, 541, 37, 73291637, 811919, 5, 9642049, 3187, 317857, 6053, 929, 4878589, 3, 1487, 80953, 79, 43, 23164847, 53, 173263, 29131, 9413, 77504941, 99728969, 86115479, 7, 4129, 8779, 53, 41764351, 89, 47, 47, 601, 59053, 3257, 3, 29, 11, 634903, 7, 89819, 32063023, 13, 601283, 66062837, 7, 419, 39097, 4206511, 112249, 51219323, 608207, 5, 702413, 926077, 1046641, 928979, 518249, 7, 45361, 5399, 7259081, 3, 971, 2, 9213871, 64153, 983, 19, 52852351, 90199, 5641, 9133, 4762733, 43, 827, 173, 6577, 809, 261389, 7, 87281, 694277, 3727, 333623, 4928549, 6221101, 773, 7, 60826379, 1229, 2, 50833, 74975227, 6899, 37, 7587431, 3, 11634653, 2008147, 23873, 174761, 82997, 482803, 927853, 38334017, 3671, 473159, 83875031, 73651, 43, 1011079, 2, 14957, 36389, 16773457, 757, 38707, 59764421, 17231, 151, 4241, 59, 3, 3, 2243, 57791, 5, 96434749, 857, 6966019, 2, 595313, 5927, 195863, 919, 47, 96671, 823, 7, 30203, 690467, 3739, 2842127, 883, 93239, 131, 3470683, 912511, 5921039, 7606789, 9986987, 947, 6373, 5303, 7, 69891307, 20747, 5839579, 246713, 4243, 4833067, 7788311, 3, 2, 7753, 49747, 8693, 833747, 97157, 5, 9987671, 5821, 4783, 9661, 87807497, 4129, 5, 911719, 65214353, 6330733, 1751639, 51879601, 59, 89, 593, 8713, 635461, 63073, 106661, 849271, 7, 70313}

{23, 73, 641, 11, 19, 333383, 2, 821, 71, 64359851, 227849, 7, 2149421, 6491, 669247, 6823, 409, 8570447, 2, 7523, 11329, 53, 79, 75711131, 79, 494521, 35339, 7349, 12626777, 15000353, 88155433, 3, 4451, 3733, 61, 84144701, 83, 43, 11, 683, 18427, 5413, 5, 47, 97, 658573, 3, 94121, 63045883, 11, 558629, 45423113, 7, 223, 30851, 2656649, 110969, 97841309, 406729, 5, 139981, 223313, 6112987, 110311, 717589, 5, 28097, 2833, 1727483, 7, 269, 3, 9174619, 10429, 389, 11, 37779887, 19861, 2689, 1031, 4653307, 29, 373, 227, 5393, 293, 676993, 3, 99409, 601193, 2663, 814823, 4019809, 2269601, 709, 7, 39179171, 3491, 7, 65353, 39750979, 4133, 31, 8711867, 5, 38107007, 7887157, 74609, 792959, 45403, 204791, 628819, 82606193, 7703, 470413, 86952601, 55411, 67, 1778347, 7, 88547, 63781, 16084723, 503, 66089, 59155729, 13841, 829, 4951, 19, 5, 3, 6257, 78497, 3, 43811333, 683, 4039991, 5, 100313, 1223, 557303, 499, 23, 32089, 751, 7, 12433, 694567, 9467, 2045837, 569, 80681, 379, 8823257, 457021, 6250421, 5641931, 5418419, 439, 1913, 3517, 2, 71979833, 29569, 5002741, 680107, 3697, 6500281, 8642141, 2, 2, 3701, 96769, 7451, 425653, 66949, 2, 8039671, 6733, 1297, 4049, 38045747, 6301, 5, 966011, 46515083, 2663579, 1449167, 46972931, 53, 43, 983, 1549, 620161, 51859, 650099, 129917, 2, 92723}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{6724591, 35488237, 27760763, 4421, 173561, 229, 873421, 34499, 6843293, 149, 9413, 129221, 8933, 722353, 554011, 9311, 281557, 521, 5, 6135133, 983, 7910911, 2473, 21839, 78193, 17, 1997833, 5, 2672431, 30299653, 82609871, 561251, 2, 9903557, 38699, 5429731, 3782479, 2251, 97682159, 269, 90401, 461, 79, 703217, 131, 738961, 2557, 2, 41889329, 5, 293, 23031251, 98927, 602489, 5697257, 118249, 59, 127, 36084773, 6053909, 82867663, 59, 137, 41, 443701, 509, 7646663, 94691239, 43, 6353, 46939829, 181, 109423, 8467, 53, 7, 1432591, 9634411, 5, 2141, 70507061, 7, 9421, 7335563, 81013, 171877, 5366743, 20549761, 58543, 593, 83, 2, 23, 625819, 739633, 76839041, 430091, 98909, 92707, 9950453, 36710801, 417227, 701, 950239, 3, 65717, 317, 3, 1493, 8783, 25163, 189253, 5684947, 8819, 29, 105491, 66083, 825247, 47094923, 7749353, 465611, 26701, 220859, 89, 65179, 74933, 7, 4380239, 479, 16966423, 66337, 2, 3, 4172521, 5, 3308089, 4337, 4733, 6457613, 7990789, 66438721, 136217, 58687729, 383, 17, 6626729, 8613107, 26189, 99136157, 8823167, 3, 13, 8286029, 98323, 598127, 236381, 85569503, 77743, 431, 41927, 73, 38189, 603203, 544793, 487, 639299, 1759, 3, 33325531, 58336241, 7117667, 919, 59, 151, 71119073, 19, 7, 7, 84409483, 78823, 5758537, 29863, 33516011, 2319631, 261563, 163, 43, 11, 88786213, 949811, 2, 2, 61, 991, 74676527, 6229, 9781, 313, 7, 56249}

{6466843, 32663539, 65339867, 7841, 860311, 373, 253937, 39521, 5878799, 857, 9257, 921637, 5303, 149909, 225263, 7879, 820361, 863, 3, 9296087, 971, 5705803, 5857, 49831, 91369, 41, 8972993, 2, 9545507, 79850899, 18598117, 316097, 7, 5553857, 68669, 8936293, 1058339, 1901, 88939541, 433, 25747, 859, 31, 132751, 941, 640421, 4133, 3, 96542729, 3, 701, 77146477, 82051, 326537, 1496767, 763031, 97, 619, 87017831, 2589703, 53487761, 59, 163, 67, 715289, 887, 7242181, 61763341, 61, 2699, 27682931, 257, 272983, 2179, 43, 2, 5887741, 2651989, 5, 7477, 84776443, 2, 6131, 3797489, 57139, 761213, 3467161, 16824191, 71597, 937, 31, 3, 97, 988279, 541523, 31914307, 228409, 39719, 12113, 3441847, 93388319, 875659, 443, 691267, 2, 84319, 751, 5, 3727, 5413, 55619, 358703, 9489527, 8081, 89, 570967, 92669, 363989, 28168781, 7839823, 861799, 78341, 244889, 29, 43321, 28879, 2, 5168981, 967, 85738613, 21391, 3, 7, 8329441, 3, 4329383, 4561, 9973, 5266319, 5516801, 94154461, 408491, 19832609, 449, 29, 1291783, 6949793, 18413, 28589497, 6946279, 7, 59, 6937193, 64171, 591623, 272417, 51494501, 57173, 419, 46993, 53, 73351, 619607, 336703, 163, 631927, 4723, 7, 36150767, 78692027, 5682409, 353, 79, 953, 87763339, 17, 2, 5, 57348077, 94727, 8724283, 57203, 10933859, 1597139, 937709, 487, 13, 23, 34824931, 180307, 5, 2, 17, 397, 19288673, 6067, 2843, 757, 7, 14447}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{46048789, 979969, 661, 435769, 173, 2329331, 81457, 11423, 558197, 2, 89, 2115499, 7237, 2, 239, 2, 97327, 2353177, 5, 23, 2, 2713, 50839, 8089, 601, 53, 3407, 151, 7, 2972741, 3, 924997, 5399, 2699, 8101, 692281, 80224997, 39545419, 49490773, 5030477, 91961, 3359, 2, 7, 4523, 181, 83989693, 8202409, 55441, 67, 2, 56845507, 1583, 2, 7, 1421083, 9941, 7477, 7, 37, 5306729, 97862357, 373, 37, 27263039, 5, 31, 3, 6871177, 47, 3, 35167091, 367, 73, 795679, 7, 803729, 5119, 53, 9109, 59, 269519, 129049, 611953, 476249, 524149, 2053, 863, 27152327, 3, 7, 617447, 44029151, 15317177, 7667269, 206783, 8713, 53, 11, 79347767, 9171431, 42533, 241, 181, 7602733, 101, 7244791, 3, 4079, 79, 44053, 3703171, 25309, 9349, 7, 3, 7, 3433, 3041, 2, 643, 607, 38711, 61, 6278843, 2371, 925961, 6127549, 2, 65357, 17, 7038179, 28131853, 76138229, 28826969, 16699289, 81348737, 76059911, 75479447, 4969, 8629, 9767, 431, 28921, 9043, 26514727, 23, 31, 41, 101987, 694259, 414607, 544177, 6581, 5, 83, 9371, 2143, 6513931, 67289, 787, 31, 5, 647039, 41, 491, 68152717, 67, 6500693, 8845303, 44041, 5417, 5374181, 37, 5028319, 379, 5639, 1499, 9187, 14369, 3251, 460571, 5, 17, 86269, 2, 39111157, 49801, 7727, 317, 96149, 503207, 9732029, 84988249, 8009627, 4519, 5, 7569823, 42899, 103}

{71259203, 648911, 139, 127487, 139, 3389801, 18301, 67547, 407219, 5, 23, 4270837, 8669, 7, 967, 3, 81101, 5459417, 5, 23, 3, 2099, 30491, 8597, 631, 71, 6287, 419, 7, 8093671, 5, 505691, 6053, 4217, 9013, 534047, 95418137, 53613013, 83576419, 2871857, 32843, 2663, 2, 2, 7027, 811, 99536861, 5557163, 98473, 37, 3, 82488293, 5521, 5, 3, 9076229, 1279, 5813, 7, 41, 7964273, 78830761, 887, 41, 61779779, 3, 13, 5, 4381093, 53, 7, 28927417, 617, 67, 100769, 5, 871271, 3697, 29, 8443, 17, 502259, 690553, 490117, 836747, 350029, 2447, 523, 54371971, 5, 5, 745301, 82337747, 46239449, 4077629, 499391, 9391, 19, 17, 74442713, 3054769, 21377, 239, 503, 4036517, 139, 8594921, 2, 7681, 47, 28607, 8190491, 17393, 3527, 3, 3, 3, 6551, 1061, 3, 503, 647, 36209, 29, 8409529, 9413, 246073, 8562943, 7, 92269, 17, 5073353, 47319149, 55201019, 89567227, 45299549, 92243713, 28620049, 56024263, 2473, 1741, 9521, 283, 18127, 8821, 48713713, 67, 41, 79, 175837, 673399, 678833, 793181, 3011, 3, 23, 5689, 3637, 1941739, 42083, 839, 53, 5, 298213, 97, 661, 65545043, 97, 9669397, 5875433, 11831, 5717, 4467767, 19, 1757143, 271, 4787, 6779, 7307, 15401, 7643, 553073, 3, 11, 47149, 3, 13099393, 60637, 2473, 359, 39667, 693167, 6984053, 26458147, 4952743, 5659, 5, 2380657, 93283, 239}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{10589, 5, 50135203, 19, 39552797, 1345271, 877, 53161, 23, 593, 144779, 8009, 3499, 630587, 8581, 3, 30643, 81374863, 341357, 127, 75814511, 97, 856061, 8539, 83, 580133, 7537, 8369, 1229, 7, 8647, 17, 683, 607003, 576193, 55273649, 3257, 9221, 367, 1721, 18234751, 5179, 33409, 51347, 61, 6943351, 8779, 35201, 409, 29, 2767, 7, 23, 271, 2, 911, 15754199, 953, 53216507, 3, 76127801, 694597, 492757, 47681831, 389, 3947, 5, 6743369, 2, 26092457, 7, 3, 12757, 3, 95822827, 457, 7, 97103, 59, 6079, 59, 5, 5, 919, 47, 30469, 7364069, 8435681, 5, 31, 3169, 261433, 7459, 49999, 4092887, 93053, 37, 305131, 7, 3, 5183483, 641, 1289, 45435161, 7436587, 2925029, 331, 701, 1759, 4525223, 2535919, 632081, 877, 49563511, 9183073, 3, 29, 16260821, 37, 8985313, 5, 811, 947, 2011, 17, 677, 887, 739, 5, 7883, 70489, 19, 663437, 3943, 2671, 193, 5819291, 257, 5, 19121, 8053, 293207, 61859123, 743, 34650367, 41263, 163, 11, 619, 1416931, 839, 9736091, 6664759, 2423, 79, 89, 33016441, 25583, 2549, 49019, 103, 67, 397, 27851, 11, 27581, 7, 3271, 5, 3324179, 8329, 61, 7084603, 83, 23209, 3, 5, 1986217, 562633, 7080839, 80025691, 8893, 5, 32029, 547, 8863, 23, 457, 613, 423209, 86289677, 29, 10939, 20117, 8059, 94321, 523, 2404847, 7451, 281}

{20147, 2, 59769187, 83, 26479031, 1811083, 797, 89413, 31, 389, 121171, 2557, 8123, 183943, 1487, 5, 44273, 91439009, 427327, 607, 90145343, 67, 160997, 3163, 97, 694313, 2671, 8101, 1319, 2, 7151, 61, 499, 773249, 529237, 98323061, 6451, 9431, 241, 8443, 62123051, 5581, 48221, 80953, 13, 3761669, 1297, 35983, 709, 73, 9067, 7, 71, 661, 2, 613, 67846697, 349, 93056633, 2, 59800567, 627091, 350003, 65811259, 179, 7993, 7, 2069047, 3, 63796493, 7, 2, 45293, 5, 72944149, 661, 2, 21397, 83, 8641, 97, 5, 2, 643, 47, 84421, 7071217, 5827561, 2, 83, 1033, 712819, 4813, 94933, 8000221, 91151, 59, 550993, 7, 2, 8148727, 401, 6379, 68012683, 5509073, 2728097, 809, 839, 9403, 1909111, 6181933, 569839, 727, 91079291, 8633237, 2, 13, 41896637, 73, 8400761, 3, 293, 967, 2791, 73, 269, 461, 499, 7, 5717, 56923, 67, 782981, 9539, 3011, 151, 2713111, 563, 7, 57139, 3533, 572417, 43816027, 557, 80101481, 29389, 311, 59, 569, 6687529, 241, 6230699, 4454041, 3079, 19, 23, 60240217, 42169, 1471, 77713, 661, 41, 727, 86381, 29, 34729, 5, 8819, 3, 9675557, 9137, 59, 7293443, 79, 59629, 3, 3, 3335561, 201119, 4816859, 47005303, 2719, 7, 65099, 157, 1637, 23, 653, 829, 517043, 44859167, 11, 33967, 57689, 9311, 12251, 239, 9863939, 1237, 443}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{31, 6737, 73, 17, 82529, 15920297, 73, 719, 101, 17707, 3, 59369, 92051, 2, 9369677, 36123889, 58811171, 23987737, 61, 88323623, 3, 19, 338411, 65877893, 7951, 9642203, 859, 2447, 675931, 216571, 679603, 57282517, 715961, 587, 20649413, 11, 2505991, 64161431, 7, 47, 5, 484999, 6101, 2579617, 3, 917113, 2574839, 7, 90631, 37, 3, 13, 32443, 2, 251, 34047803, 546197, 307187, 31531, 2776867, 41, 467, 59, 8387, 2221, 38112071, 101, 2, 313, 5, 379, 877, 157831, 365969, 37, 29, 743, 2707, 65963, 67, 44101, 24109, 95177, 37404793, 293791, 199, 63127, 3, 126173, 227671, 7, 574307, 7, 971, 78747743, 59, 5, 5312467, 8447, 2089, 42239, 877, 95706707, 3, 179, 2315503, 945881, 521, 64569319, 853, 56633, 79, 3478763, 8616653, 7, 5953, 70456669, 653, 8009, 91662269, 756739, 4723, 7, 85363, 613, 3, 72055127, 5, 97, 93481, 4955773, 673, 2777, 5, 6449, 385391, 201769, 2, 53, 68534773, 681047, 7277873, 816521, 3, 14431, 607, 101203, 80039, 191, 503, 613, 59, 29, 7457, 5527, 23071, 3619991, 82067189, 67, 372401, 5590763, 43331, 31952033, 64969, 277, 94057, 5, 8861, 76943, 9012217, 7, 18957707, 139, 126551, 313, 4441, 49669, 2, 377527, 983327, 101, 85965349, 31543, 617, 416873, 2, 2, 449, 4084909, 601357, 278269, 25819, 9370481, 7057, 9021241, 59, 463, 2, 4492451, 373}

{89, 8053, 47, 47, 60317, 93953207, 53, 239, 449, 23071, 3, 45833, 91237, 2, 7197389, 12765433, 98256559, 30791819, 97, 87041203, 3, 67, 196549, 21220873, 7867, 5725081, 809, 8999, 594157, 918257, 159563, 15483983, 969593, 353, 39374711, 37, 3041809, 12810269, 3, 97, 2, 117163, 2557, 3769193, 3, 321799, 5222501, 5, 20521, 41, 3, 29, 17923, 7, 401, 88286557, 399439, 166931, 36929, 7071461, 31, 281, 31, 3581, 7687, 43927339, 193, 3, 983, 5, 719, 101, 415607, 446417, 31, 61, 953, 9059, 48109, 17, 34703, 65827, 51109, 30101003, 298799, 313, 60133, 3, 444047, 999631, 5, 588743, 3, 373, 16028941, 53, 2, 2019343, 6203, 2423, 56687, 809, 55773043, 5, 809, 6078419, 313477, 587, 24515599, 139, 97511, 31, 4350713, 8214149, 5, 9941, 98454947, 199, 5839, 27121979, 730567, 8609, 3, 37831, 491, 2, 12725147, 3, 89, 24953, 1624811, 281, 9467, 2, 1861, 372613, 832889, 5, 17, 40792649, 653111, 2150717, 618577, 2, 85517, 491, 464591, 34471, 797, 977, 709, 97, 71, 3539, 6823, 21407, 1572607, 64602649, 67, 956387, 1335781, 14327, 45577327, 33301, 977, 20899, 2, 6143, 64783, 3822407, 2, 12563591, 443, 440989, 199, 3389, 73421, 2, 288499, 279119, 457, 88593233, 75403, 977, 284527, 2, 5, 821, 1385609, 729413, 522989, 88589, 5569219, 2731, 6349297, 19, 353, 5, 8931631, 809}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{89, 57593, 607, 1274401, 184007, 11, 7795559, 70606513, 706427, 432037, 1459091, 79, 615599, 43569859, 59, 37, 3475471, 503, 284483, 81581767, 90917, 739, 445031, 270899, 4261, 20096551, 17, 4657, 9110551, 3, 1523, 7, 8317, 45351953, 19, 2, 500231, 7859737, 727, 6740189, 7, 154369, 7352987, 733, 88610261, 18148177, 8221, 59, 94541, 47, 48413803, 227, 46219, 9127, 7669, 2, 29, 83162627, 832703, 3469, 5, 3, 4201, 1573723, 1492189, 9210589, 3656699, 62099, 982571, 218357, 547, 35023, 7, 741541, 52571, 38699, 993253, 881, 2713, 6423763, 45767, 905291, 449, 19, 740521, 3, 673, 234293, 2, 44808839, 99216659, 3451073, 6800093, 97, 579263, 131, 815527, 192091, 2875673, 462067, 23, 8951, 2, 3, 19, 76027631, 577897, 521, 2, 71, 275357, 5, 92871347, 798929, 349, 727997, 36467, 2767, 17779309, 2, 2924111, 22401541, 251, 139861, 19, 1277, 8983241, 18725563, 167, 543659, 86978147, 70871677, 727, 7912603, 333449, 7, 5230129, 678719, 8169229, 4951, 77611, 51588461, 92311, 91733, 971, 811, 23, 269, 971, 5, 869437, 1274929, 977, 59209, 13, 41, 7, 22531, 660377, 166157, 5, 47454863, 5, 886313, 2266403, 62925011, 67, 599, 7, 11, 2, 61, 1109, 7883, 93047, 97, 82073, 43209317, 27059, 3242647, 24061, 291559, 132533, 2, 113, 15073, 26346823, 9059, 810457, 67, 2497333, 1213, 41579303, 9781, 74381, 5, 8825753, 78087521, 3657617, 587}

{89, 39419, 353, 9831277, 865687, 83, 5886929, 69495577, 489343, 591457, 4362461, 71, 456023, 88677133, 19, 17, 4976017, 859, 179819, 76102801, 49363, 977, 241333, 651109, 2707, 38229491, 11, 7993, 1871951, 3, 7517, 3, 5333, 65283017, 47, 2, 330139, 2726617, 853, 8144861, 7, 373073, 7680733, 191, 70190311, 25172339, 2297, 23, 99109, 19, 94395061, 907, 92111, 9181, 9473, 2, 11, 28871939, 886583, 4451, 5, 2, 9767, 8972993, 2376559, 4325423, 2406097, 30941, 311869, 981811, 223, 69493, 7, 156347, 81307, 45281, 778409, 907, 9539, 5750051, 81647, 626009, 523, 17, 796531, 7, 157, 266183, 7, 56515553, 42618593, 3883951, 9236263, 79, 653893, 419, 867991, 119033, 2033881, 264881, 37, 5869, 3, 3, 83, 61973671, 648433, 307, 3, 73, 101573, 7, 21134987, 347933, 653, 726379, 59659, 8053, 90957941, 3, 5378533, 88713253, 191, 150413, 89, 7229, 8188693, 32087791, 487, 313879, 35982553, 19699231, 113, 5813053, 308597, 5, 8543957, 252913, 5313647, 1951, 40577, 94481771, 14083, 33811, 547, 887, 23, 787, 971, 7, 719893, 4996423, 547, 32321, 41, 19, 3, 98299, 202693, 448207, 3, 76071049, 7, 515357, 5611079, 58652683, 37, 349, 3, 17, 2, 37, 1423, 2411, 55337, 41, 62207, 10853203, 29059, 8807759, 77773, 425473, 194989, 3, 857, 19213, 59488519, 5347, 942607, 59, 4324081, 5647, 71846219, 7057, 71317, 7, 1422907, 59425631, 6310789, 487}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{2121373, 211, 2, 457, 741827, 1033, 69804989, 21001, 967, 747781, 60317, 7027, 96969619, 4740653, 69535087, 7498867, 69393427, 631, 19, 1129, 5, 8552833, 17, 7, 74048809, 37, 2, 883, 99666793, 31081, 78137, 224171, 3083, 37951, 69067, 2, 241, 3209, 586667, 36787, 28793, 179, 97, 881, 11, 85950901, 433, 179, 5, 1739599, 64480417, 4517, 5, 43, 254899, 1933, 5072659, 482021, 9059, 85597339, 865159, 71, 5, 4956097, 54562553, 7, 3, 491, 47, 179, 191, 189799, 29453, 13, 7749199, 38011, 15053, 48443491, 36134381, 283007, 17823749, 1031, 42649, 17117, 461, 228883, 35274853, 5220427, 2, 3, 88591, 11, 53, 55057, 67, 8509433, 535523, 73693, 44864641, 437279, 461, 7, 71917, 349, 1789, 123527, 502321, 2246371, 20975663, 17, 3, 9497, 7620241, 400441, 16729, 2195411, 14128817, 5206121, 4951, 392201, 95071, 483467, 23, 859, 9739, 59135113, 4679, 82301, 7, 79451, 96864709, 2843, 13, 78347, 3, 2, 937, 383, 2837227, 48596209, 81041, 95257027, 269, 80629, 523, 139, 2, 874919, 9865931, 9254093, 7477, 13, 7249493, 821, 97, 821801, 256517, 483551, 73, 67, 947, 709, 7947761, 87966199, 5, 5309, 2, 79, 7, 90599, 8681, 331, 2, 17573701, 8713, 4082719, 1999, 163, 3, 7603, 163, 84607631, 281363, 619, 53988299, 64353643, 103787, 3, 353681, 7252657, 7621, 5, 2673067, 31727, 47, 210499, 945601, 5, 2, 741683}

{4983437, 281, 5, 101, 512989, 5923, 37160699, 68219, 941, 841097, 38933, 4273, 82273637, 2065501, 33942323, 7579069, 89213221, 311, 43, 7369, 3, 8997353, 23, 2, 46713643, 89, 2, 821, 53551789, 54751, 77081, 333097, 6581, 93887, 95063, 7, 443, 1693, 164701, 45827, 25657, 211, 17, 139, 89, 93710087, 367, 283, 2, 1321429, 35010223, 1493, 5, 13, 828371, 9011, 6309439, 426197, 1907, 53788279, 655439, 13, 3, 3740179, 84192847, 7, 7, 727, 41, 953, 937, 497449, 47143, 43, 1264651, 16087, 26003, 37736989, 89942051, 343411, 95352941, 2357, 11423, 96181, 653, 321823, 44616647, 4102453, 5, 3, 24571, 59, 47, 72169, 41, 5336447, 555421, 30851, 17175463, 132331, 241, 7, 88241, 643, 6449, 296683, 379097, 4619981, 98200369, 11, 3, 2753, 5584643, 114043, 63059, 9733811, 91693871, 8434957, 2153, 269887, 50833, 427309, 59, 743, 6829, 80955877, 1613, 19927, 2, 46027, 68891897, 7937, 71, 59107, 7, 5, 607, 829, 6688519, 52389637, 15061, 58792003, 307, 67939, 389, 421, 2, 842759, 7919741, 5160923, 7043, 71, 2514917, 109, 11, 270241, 969071, 468029, 43, 71, 127, 487, 2475779, 75152419, 7, 2381, 7, 31, 7, 51109, 6469, 881, 2, 81367843, 8377, 3230299, 7127, 991, 2, 6299, 439, 40134641, 474499, 577, 33789989, 90990059, 496229, 2, 148123, 5352821, 1877, 5, 6248269, 15289, 97, 564457, 207307, 3, 5, 504121}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{84191, 3, 631, 631, 2, 87167659, 82307, 39619, 83, 45503, 90416317, 3187607, 72679547, 3, 2293, 24124747, 11317, 85818101, 47, 4610153, 1955183, 2029, 615721, 1759, 17, 77579881, 4513, 613, 21997, 37, 9295529, 13, 2, 59888267, 29172389, 89, 81637, 91369, 13315021, 426941, 167, 59662961, 5, 7687237, 54076291, 3, 58376587, 73, 984689, 457049, 26302091, 61, 2934077, 79379, 408491, 29179, 5751677, 3, 617, 251, 52599791, 83, 59, 5352533, 43, 28427843, 1453, 47362583, 73, 2, 7, 60293, 3881, 640649, 59, 1433137, 54403, 379, 37, 88499401, 3, 229037, 67757731, 929941, 881, 10723, 35278429, 47, 5273, 76681993, 42632507, 5081, 4517, 937, 556321, 448561, 8297, 5, 458567, 9901, 631, 199, 26566717, 78301, 40772701, 7, 46165351, 7, 2538101, 43, 587, 3, 29, 67217, 22806577, 10667, 7278883, 49747, 47, 32115481, 8699567, 295937, 7, 971, 824269, 3971119, 9791, 6788869, 5, 1939753, 429673, 6489221, 25673, 3235189, 967, 983579, 73, 238573, 173, 320417, 2, 318917, 91711, 3053707, 64880311, 2, 8849, 7, 641, 173, 5, 443, 21323, 3, 3, 479, 9371, 2, 349717, 80363, 193, 79039, 41, 416497, 454627, 973253, 89, 9311, 2, 7823, 23, 71, 2, 7723, 5, 726371, 20921, 15859973, 3878657, 45823, 8263, 35461, 5, 67061, 3, 3551641, 4887833, 803227, 9511, 99529, 8635967, 41, 1193, 573571, 96179, 6801703, 57195869, 7, 915157, 6467801}

{82759, 3, 131, 619, 2, 11318059, 20477, 97213, 23, 13219, 93947941, 4376881, 60081029, 3, 1217, 10625539, 47947, 36336901, 89, 9246869, 6663511, 1097, 567011, 3947, 31, 30642613, 5683, 733, 47609, 19, 7690301, 47, 3, 44675207, 81768451, 23, 20431, 79279, 40135223, 582511, 431, 46542523, 3, 3725521, 18550447, 5, 35696183, 11, 983911, 958541, 75230791, 13, 3482693, 13873, 354833, 23833, 6726607, 5, 887, 821, 98918863, 53, 71, 2554529, 79, 26188433, 6043, 50938763, 61, 3, 3, 37181, 9923, 712909, 67, 4872781, 58601, 977, 83, 12949357, 7, 494413, 96945313, 540349, 937, 23003, 92476729, 79, 4093, 47907953, 10641047, 5783, 1453, 733, 338999, 493937, 2551, 3, 700993, 6679, 457, 577, 53217971, 56099, 34909291, 5, 13501993, 2, 7875089, 13, 859, 7, 11, 74489, 57217067, 63929, 4655663, 75683, 59, 36266261, 6237641, 142031, 5, 193, 246329, 2697437, 7559, 4733243, 7, 6340189, 656303, 6722587, 91411, 9801167, 641, 702817, 17, 222713, 911, 815197, 3, 381527, 27673, 2304011, 41041921, 3, 3919, 3, 769, 457, 5, 977, 28463, 2, 7, 571, 2237, 3, 211291, 53951, 983, 16097, 37, 605779, 804847, 410621, 67, 5939, 5, 1097, 89, 37, 2, 7559, 3, 818581, 61487, 10496477, 9337171, 93307, 7351, 81749, 5, 77587, 3, 7383811, 8844181, 704189, 1801, 54287, 9388111, 19, 2333, 491353, 15937, 8573051, 88976659, 7, 420383, 8633047}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{68942413, 5, 257, 11781169, 73, 3, 4603, 53173, 91249, 3, 793967, 8718301, 5, 2719, 751, 1142483, 389743, 764623, 667363, 1055137, 5235193, 8689, 721387, 53, 39079, 7537, 1471, 4481, 222197, 203039, 523, 6991, 5, 3863, 16963, 85439, 569, 4297, 941, 8461, 45886657, 4813, 50153, 12251, 9990209, 5501, 23, 2640251, 39301187, 19, 9403, 857, 8821, 479, 13, 70373, 19967603, 651857, 2, 24043301, 103787, 2105729, 3167, 8855149, 47, 97, 397, 8209483, 29, 399131, 69119, 22151903, 71, 506743, 59, 3343, 534739, 97, 109397, 547, 2, 929, 59443, 96019933, 63726713, 8713, 61, 2, 768631, 59, 947, 6363653, 3299, 68489, 3, 2, 20147, 5894711, 1341481, 30071, 800483, 57251507, 2, 73, 11, 3, 59, 641, 37057, 2459, 2621, 409, 98947, 758713, 6619, 51469399, 6491, 59, 67, 139, 4027, 3, 208627, 98474209, 43, 45427, 2, 37, 551813, 7789, 74364649, 914581, 6868093, 3, 8804513, 31, 5, 923773, 523, 34501, 8234419, 5147, 8959453, 107, 9058999, 72367, 1103, 15590881, 59, 83, 6007, 31, 6619, 3, 777103, 297503, 661, 2603701, 7, 66891283, 5580893, 46643, 22028131, 74297, 34679, 936769, 53, 7, 5381819, 9180109, 61609, 5, 76303, 4989203, 337, 93407, 269, 8990981, 5, 61, 947, 41458481, 71, 577, 87853, 8429, 28283, 6577, 52081, 67, 53, 1907, 257, 57056579, 79259, 29861441, 80153, 989921, 149, 89}

{48619741, 5, 761, 64792853, 41, 7, 1249, 56209, 73883, 2, 995573, 1405309, 2, 4349, 397, 7793759, 963143, 520307, 169553, 5390681, 8727659, 1993, 658253, 71, 32587, 1913, 1913, 9157, 271861, 729931, 281, 1697, 2, 8353, 83233, 80989, 491, 4211, 421, 8293, 31334327, 7823, 12101, 22651, 1565519, 3671, 37, 9851563, 70933201, 71, 2269, 563, 8669, 827, 41, 37123, 24935497, 531203, 7, 12174653, 424559, 7975987, 9157, 8162069, 11, 67, 941, 1340221, 89, 672223, 87623, 91115209, 13, 277847, 43, 3229, 286427, 59, 333929, 757, 2, 941, 46229, 44736931, 60305549, 7933, 13, 7, 748471, 73, 359, 5606749, 2999, 63719, 7, 3, 34499, 4344841, 6200177, 20347, 843067, 87938471, 2, 89, 89, 2, 37, 193, 17987, 8069, 2549, 953, 41761, 775079, 2243, 62395511, 5783, 73, 31, 919, 3203, 2, 115769, 19258189, 71, 83243, 3, 83, 885553, 3469, 88910681, 838429, 3268651, 7, 3369797, 97, 2, 404051, 191, 35507, 2168951, 7187, 7405831, 421, 1328807, 19571, 9127, 52368643, 83, 53, 4153, 89, 6781, 2, 744811, 796567, 691, 6867331, 2, 79922149, 4407523, 86161, 31738319, 38861, 10781, 493159, 13, 5, 4818199, 7067483, 12437, 3, 45569, 5231503, 131, 14827, 137, 4650727, 3, 31, 823, 33696053, 13, 797, 88843, 5209, 70297, 1193, 81283, 13, 43, 4813, 691, 66450743, 21101, 69373841, 48409, 168559, 419, 37}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{13351267, 12981893, 12832037, 54577511, 59109623, 64334693, 95052047, 63614861, 30483289, 34914349, 21856733, 78078823, 67517501, 76185541, 28845023, 71048689, 64471223, 94223827, 25808611, 79690973, 33958513, 92138689, 55972729, 61633073, 67067971, 97368853, 60222017, 72553627, 53818571, 59579783, 70079957, 67423651, 36805189, 34112317, 12916217, 91463089, 80849207, 27653761, 11298823, 76665749, 10265939, 19608601, 20560601, 50354771, 94023131, 11169943, 33962867, 60790057, 61516423, 46619323, 31797313, 32980349, 83315251, 41925953, 63097361, 24004609, 54388331, 54959339, 47676703, 62116253, 38930207, 37318133, 63157139, 87945673, 17143481, 21964967, 34807523, 43789961, 28627903, 34102667, 57689311, 77592667, 14920277, 40166873, 61212511, 86973499, 28164013, 26819549, 75616439, 69390043, 71551979, 23872841, 58845559, 47121413, 97932167, 93303277, 52554077, 30327809, 35338549, 42133193, 56259487, 80697349, 16351009, 29065987, 44138527, 97347709, 13355339, 45111089, 40750987, 13094281, 87953759, 25976567, 37669487, 60170839, 70174931, 23419393, 54343001, 64181093, 33707369, 74863163, 44624821, 46889551, 54152363, 72270017, 38077441, 26436629, 42239807, 58735361, 51413227, 66721297, 44708581, 41190829, 17171261, 23118083, 51859603, 12605977, 31757107, 98460553, 34359371, 95452309, 17710853, 51269473, 56155103, 23308067, 52447237, 83231791, 93733187, 80502589, 52769413, 13944439, 23979223, 54897659, 27117037, 85433527, 85840367, 47178227, 94434143, 75603457, 32283529, 81380093, 41290471, 35582849, 81531707, 98140477, 41887499, 62213507, 78857741, 95537227, 32970221, 80647111, 32195227, 43890841, 49497599, 99998551, 71252399, 80568347, 46705489, 70291499, 85457819, 25465901, 40735951, 76310771, 28186303, 48043301, 23690659, 93547457, 79716839, 34681811, 49289641, 34207001, 46641653, 56288663, 23798003, 75205649, 57049843, 89404859, 12018641, 11674661, 99801719, 43467811, 11638631, 91927049, 66423719, 42181901, 23098963, 59615233, 44179763, 17185331, 96927437, 90407861}

{14620163, 10849667, 80811529, 50513923, 23981623, 24510929, 50078339, 41154929, 49679527, 57523783, 12316943, 31608937, 18119917, 69825719, 59392327, 32395151, 43988207, 37440841, 48997541, 76210139, 15416839, 29317369, 55957987, 77974319, 57662471, 80042609, 45068329, 28895179, 49233361, 74051423, 92459093, 35443879, 61777981, 23885651, 15266149, 98215111, 83640923, 37517507, 50174809, 38312597, 74072599, 60517001, 52523203, 35167607, 71414627, 64221071, 38519513, 32008903, 56005867, 34663943, 38462911, 14108201, 21984811, 84781919, 19958489, 33358307, 94970039, 65839637, 97696217, 12945811, 63417631, 64180981, 59294981, 86417147, 96135719, 39364901, 16386173, 79168367, 77432177, 52632431, 19472753, 14154619, 94340033, 23408729, 94433897, 92209769, 25072469, 82820869, 75354613, 83538419, 51896219, 67439699, 28757671, 78941657, 42396859, 55690447, 40707739, 28102147, 61677137, 88430201, 90483101, 75815023, 99155041, 52058311, 59322919, 17339771, 21432091, 62545277, 53525453, 10017011, 96797203, 40965931, 47069261, 34237351, 63611423, 27618581, 64578281, 31314859, 84822667, 69262579, 72250699, 48267059, 83931851, 56169511, 75719869, 26730371, 43073269, 41126401, 20523787, 22980409, 50792419, 91198103, 97618033, 41328913, 89270057, 88557151, 49732673, 77460907, 70761343, 33662687, 22234379, 21032237, 71492929, 69032011, 50677387, 89246071, 85756939, 11554637, 64068007, 66061741, 16602671, 46459561, 53406439, 22799957, 80926603, 63556697, 59799611, 21263647, 90227779, 76272689, 34743881, 96374339, 17409127, 96058961, 12290503, 56787931, 18823073, 66663739, 81010687, 79760951, 89378857, 26988853, 20853923, 42910927, 50804209, 73854707, 17468777, 29130821, 68469067, 28123639, 48481183, 80900117, 71919223, 52067363, 90275543, 46607917, 37740931, 90844087, 95673421, 82097663, 16153699, 85331293, 27758057, 10612801, 61313719, 59056121, 65888089, 30326677, 49875521, 83765641, 37323071, 50979427, 27103607, 77230771, 37594367, 30758863, 77495543, 29063207, 83168303, 54073291}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{15792827, 74674909, 17012693, 38637407, 88048601, 91387627, 72183401, 41278519, 71107721, 77846599, 73875947, 77052511, 76892713, 10287209, 99356417, 89661211, 11552819, 23237597, 41722409, 25664267, 57330979, 81086177, 31201139, 91928257, 29215573, 19688479, 39060199, 43979081, 42563783, 51493427, 65582003, 18229621, 37204919, 46327097, 16373209, 61724417, 71583319, 55833643, 88495943, 58006087, 79432511, 42981353, 26822021, 87985817, 24150163, 33670379, 13684183, 79298827, 35402879, 72874783, 21074587, 67822819, 70316461, 78423223, 34036213, 99412633, 66906529, 85267771, 22343291, 76557037, 44196407, 79130069, 75002911, 21106871, 46273511, 15460663, 51052999, 42469291, 59479369, 13530347, 80597947, 30136283, 76109281, 63904229, 20569177, 87817747, 43330997, 96048613, 87593417, 82244339, 62601017, 53739641, 32414177, 58445071, 40369787, 10036781, 35546353, 31062923, 98209589, 32633683, 28525579, 96181619, 19529831, 73699049, 69630727, 62761007, 15822881, 69383879, 66501199, 52776233, 82834291, 21313093, 44053819, 83247403, 30330739, 22370641, 58499929, 14725637, 71112913, 36965909, 97077133, 35849309, 69920569, 42059393, 86926643, 97527167, 70419703, 49829597, 52706897, 19623977, 71645767, 25401001, 72075329, 61015993, 70174331, 17221723, 51128071, 70874341, 12035761, 20998141, 61331773, 29478961, 57894649, 69585259, 35401109, 77610683, 43115393, 60288847, 25248367, 21677573, 73038353, 85120573, 94827659, 68607757, 31550993, 55681907, 59576281, 47741231, 78289207, 22070687, 29413663, 43552279, 54775901, 40975303, 79134067, 89077207, 14536229, 69165023, 92388097, 66140587, 20429377, 39253381, 30450073, 50476333, 28058519, 44968901, 24959819, 73486397, 46037291, 13732619, 30210149, 70033109, 98667449, 95979761, 69979331, 45497009, 46178369, 83399543, 86218739, 99554029, 59173567, 24462901, 25897349, 17532311, 65277061, 20602579, 44439259, 52596787, 82893091, 95662837, 42082543, 65530793, 48590107, 19102001, 45099653, 71458339, 24244331, 41689771, 16979159, 34956347}

{79875041, 17864999, 76550927, 16833877, 43329941, 89904917, 83354413, 10544813, 44700763, 54781691, 99389287, 79473469, 54361273, 73863109, 59931857, 15213673, 64509821, 18615577, 23103371, 91133117, 77539789, 91306379, 83698547, 94130797, 69887201, 63929143, 87763517, 17427097, 15139759, 12946013, 12578471, 37144309, 31807409, 70409267, 33056731, 64303229, 14281133, 94615607, 48029671, 78441971, 68555537, 19766101, 48214409, 30535511, 11088523, 50431597, 42405347, 41158177, 26655631, 42198253, 96511367, 83754079, 24984559, 29183779, 98314019, 74492269, 13384313, 54528797, 43010101, 36985601, 71248781, 18814027, 58726709, 12243821, 54426059, 58178503, 73857473, 22768883, 82261819, 54621337, 13004359, 18623351, 16525319, 58914931, 12189257, 25810877, 36957317, 19761407, 17504077, 95421691, 88342981, 75177181, 88246421, 52951501, 62331593, 22108439, 30176039, 72752347, 55957669, 18935531, 81371837, 63028003, 92242273, 98197247, 56278267, 33201139, 18247513, 99819001, 28965737, 99132211, 23215079, 19518803, 13909999, 42343547, 76824329, 49709467, 78766309, 68885281, 78958783, 41439821, 91720009, 72558641, 97302587, 37255241, 56118373, 69906779, 78960593, 16219429, 94746349, 74489551, 93220133, 91960241, 30360973, 14693431, 89945389, 37146601, 43545479, 22471223, 14755639, 89224463, 18741161, 93617387, 40381591, 12791789, 49623713, 68149517, 94509959, 16854367, 22787117, 56112773, 89837777, 85798697, 56300171, 97135861, 80670761, 53902309, 46167409, 19175053, 78832601, 74774269, 90915397, 63735457, 96100861, 40928051, 23811157, 22992077, 43918601, 99943033, 38562331, 84779069, 23250191, 70937777, 48229309, 10538933, 63493819, 48281671, 80335609, 70914787, 16126267, 86677573, 62421661, 96037289, 39939343, 60254003, 62215001, 50858363, 45981511, 37767913, 34579331, 74954849, 44542123, 75373993, 58561319, 33009901, 81474361, 56432953, 51095453, 43167661, 19320767, 23624971, 41352769, 80063773, 19920487, 35410523, 78570329, 96573601, 87281659, 40731569, 20324207, 72951451}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{92910541, 91163143, 58626781, 72387713, 54102947, 26847679, 40516339, 38229959, 94838507, 17626339, 88078301, 67082227, 37170491, 15224857, 81430061, 79009517, 47972077, 13864219, 75773911, 12189031, 75824597, 49361687, 73747313, 58853827, 28254203, 39860713, 78071989, 50225437, 39063727, 82470119, 27893731, 56491961, 63019907, 97070461, 38182961, 92403247, 89377411, 53250091, 22576573, 63002939, 41513851, 79764857, 33299881, 88387567, 47836489, 16628203, 94603631, 65069131, 55514411, 58521989, 61780471, 31099529, 85183981, 45871999, 80510821, 11656399, 35302789, 34423903, 13935997, 54438379, 55149371, 50118877, 56438777, 38921011, 69882023, 29457977, 41022563, 16019351, 28371899, 26183473, 24011941, 83992319, 70271219, 41051653, 63491419, 88437949, 20065343, 91843043, 17239009, 12571883, 21403399, 71492831, 75167563, 71500057, 61425349, 64951721, 47273203, 57634217, 29737129, 24408173, 47830667, 65298713, 73552601, 87819737, 80141657, 59724421, 83795237, 46199239, 12084313, 24926987, 99485027, 71351089, 92190587, 87352219, 51010541, 67669601, 76505909, 20500901, 82989601, 93768151, 29538239, 26530267, 17667893, 34250299, 73995521, 44097041, 92842993, 51184829, 67760807, 67898387, 72486553, 71468641, 61569713, 31409561, 82514857, 39569143, 40198657, 77967403, 52022497, 89809061, 24511309, 31439803, 12958397, 33025103, 43997119, 22262063, 29664863, 88982753, 68109571, 89351837, 98386399, 25122467, 47607643, 18933199, 37738343, 49042907, 95144219, 61764167, 17280677, 10518163, 19486147, 30668063, 37911803, 83720537, 92806477, 19854931, 63550007, 60282533, 60224651, 34513981, 39569119, 73805999, 47561887, 63596389, 53430049, 68740387, 47643907, 64629673, 71734357, 45030043, 52890347, 56100227, 52187543, 51072737, 48516431, 34000453, 23142467, 45463723, 66402367, 48214027, 35525579, 45693667, 69747791, 83023643, 82065757, 99142327, 16297051, 15228221, 95048923, 94840511, 95810161, 54384601, 89667077, 71846009, 62654593, 99641687, 60330503, 95934463, 18665587, 34474991}

{46195111, 37680473, 44088893, 42085207, 37943723, 88216591, 83828287, 80920507, 18579761, 11291051, 49350461, 72750511, 70087051, 15455161, 11625793, 74424709, 40027171, 99006379, 46240627, 91621507, 29163443, 17837861, 48810019, 38467733, 37036471, 77008049, 68204449, 76400323, 26172983, 81733279, 31758971, 36943433, 30798241, 39515317, 99558793, 75211267, 13059547, 63317971, 14177519, 41424373, 64120909, 20867219, 30875869, 33587237, 70989403, 66959611, 33687037, 57760561, 62210909, 54911209, 21632537, 21915119, 75848827, 99095239, 11150437, 23133497, 81625457, 59757721, 83822341, 22551701, 31695071, 20467789, 16991389, 73481029, 58673599, 93528937, 51459869, 27021821, 22803751, 10558027, 88508411, 20639791, 19500463, 74645849, 87488057, 80264323, 10239109, 67379569, 91997989, 77874779, 32189207, 53200699, 47670793, 95227007, 58402889, 46193857, 49364479, 79042063, 90769411, 84834359, 73283929, 28828097, 27538499, 81565399, 90721087, 92737819, 93061313, 59243213, 79172633, 63734941, 81189313, 17481533, 90773737, 22484551, 12884059, 91007563, 94871323, 21026149, 68495699, 33327499, 24030179, 14611657, 33810551, 19823389, 49992697, 43133953, 76849429, 54399271, 10249021, 80351977, 97527379, 20034811, 52398443, 15865901, 25593829, 72838279, 57100523, 19033237, 73253057, 87686609, 34395271, 77754451, 74099899, 40764931, 61959587, 18069353, 54257573, 82800623, 21166799, 51036611, 29512201, 99890563, 63685381, 60994433, 99771713, 23502191, 71910539, 67522391, 86557111, 51838271, 83009383, 39649867, 20444471, 98181397, 42833101, 91201321, 35413199, 72611257, 70041337, 59160691, 75124381, 95981089, 97497251, 55441333, 64173247, 63725747, 91162811, 46769087, 19374617, 64678811, 55625357, 78015571, 18151687, 73933381, 46739689, 49325131, 68853101, 31703303, 11311541, 21362521, 78466259, 44356783, 71738783, 42159547, 89540753, 35673257, 25557979, 29177791, 56767259, 14647447, 29159701, 79226989, 61196269, 26557067, 21487981, 59309729, 45352261, 31126559, 48492527, 91693703}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{99687937, 88433509, 80615281, 96577147, 21720563, 50335679, 81291293, 57250337, 28519199, 28537801, 72576631, 13513433, 34678957, 56002717, 19017179, 97043437, 46409527, 85310221, 49315439, 64458689, 14007703, 40319707, 73452091, 87895711, 49992851, 45963221, 35966461, 48479891, 80249053, 67100773, 19156927, 68992279, 50101217, 45217519, 67396727, 24129401, 78415387, 28076849, 75748019, 16906921, 84812797, 71650489, 64621087, 15121819, 48032129, 97178467, 37781507, 45339139, 51898409, 71334191, 53884681, 23503867, 72958031, 46564433, 80202427, 98229037, 68928889, 47561651, 51986897, 71361317, 56839301, 80956399, 65833093, 66332041, 70360373, 30547259, 55757179, 20046167, 18816419, 11195713, 72933767, 25721363, 10467931, 68407511, 48594629, 75434299, 40104047, 53706799, 75326557, 47023859, 21247381, 32829689, 75063943, 28789531, 62166121, 44485613, 59579263, 39690953, 26920973, 43756117, 71135657, 95479291, 38015279, 40435739, 31824193, 82272341, 19232839, 42673079, 20862119, 39954349, 24015991, 71093419, 38135837, 96774481, 72403963, 53781671, 51969227, 78084527, 60124067, 56649503, 59333921, 88738609, 17124281, 54993949, 55642109, 33037897, 63238561, 16870649, 37995313, 20244491, 44962129, 77163589, 16170269, 11735461, 36173261, 21397297, 29475529, 57069377, 33290087, 86979733, 30805877, 82403281, 77078123, 48693131, 63645487, 78880903, 86372641, 29368747, 73524161, 91135787, 81392581, 89239159, 14603317, 10731023, 21638339, 49456709, 68924467, 59396999, 83604439, 53664619, 30354523, 19277959, 50873101, 40623607, 92383507, 87874879, 35810083, 46089691, 85375331, 40158353, 65362163, 71717231, 44619307, 42921643, 62632567, 37845887, 52365343, 32391157, 48102121, 51040793, 88282213, 45539159, 18026959, 26732179, 61175141, 61751051, 70246769, 24237949, 57582809, 97077341, 77593541, 36533957, 74379989, 56530127, 25693027, 55455467, 69676049, 90733609, 46376023, 13539013, 36711529, 88274099, 31177829, 75386767, 92874151, 62469763, 99677023, 32409049, 21789043, 89152759}

{94603837, 16016071, 94300603, 75720739, 91427387, 77699473, 97084763, 40794287, 90882037, 52079333, 28205707, 33833197, 68908867, 14755261, 51605221, 78612109, 54822461, 27973919, 51326147, 61942799, 16633861, 85780847, 58831819, 93650899, 17369707, 23878903, 49783087, 61863253, 65894981, 90246791, 34149989, 26522893, 24942889, 91602877, 11863751, 71839037, 25636777, 52285379, 16922099, 87360617, 53427163, 81872533, 21560563, 45402407, 42426551, 28094039, 36101911, 79623637, 82438589, 80892667, 56084867, 33154357, 13184557, 19772803, 54033619, 65216183, 69914203, 34478971, 23506369, 61390117, 38386771, 86527933, 27256319, 79310633, 99661097, 25519019, 44733641, 90474913, 57379529, 89981791, 68600039, 42525767, 34329293, 22916011, 11591113, 97809253, 56722381, 67202689, 21556783, 46245971, 68918599, 37770361, 43457507, 54146431, 90777103, 35958547, 31306211, 60099197, 10322003, 36564131, 20569511, 72511763, 49346651, 74537783, 79228283, 14570627, 16391477, 85262767, 32625689, 43645727, 45673591, 74778467, 72045619, 56041747, 40677367, 15017077, 49420177, 81781207, 19844449, 83617117, 10711559, 69406913, 31982047, 88844773, 56196523, 70788923, 65151563, 93443369, 13970353, 12331799, 64890863, 58256711, 55608577, 66891119, 28714753, 87390911, 11222087, 98121347, 73591753, 50037223, 20907169, 85713487, 90062321, 16582129, 59744407, 69996679, 56386249, 62414299, 92002891, 11635219, 13359217, 12388349, 46661597, 99395867, 57074197, 13983323, 32631413, 46544231, 69532751, 47698751, 94306379, 17743301, 10333727, 25613867, 32226499, 73863197, 77192371, 40732987, 17587313, 98266969, 50859397, 35190361, 92950177, 29048099, 57885599, 53959967, 47734987, 64653469, 64287449, 11879537, 39398339, 24817571, 83552779, 94320433, 57913187, 27750211, 95362321, 16594609, 28280269, 21750923, 35083339, 91668373, 60084917, 84025939, 69030151, 74494379, 93210127, 48027281, 18196901, 99963151, 65659247, 99093259, 72938323, 80352733, 72510871, 70569203, 90972737, 43689973, 50016781, 37994113}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{20578709, 73679689, 99713503, 30186797, 43215743, 16810477, 60676051, 40274237, 38690161, 94968287, 80483171, 33461173, 19423309, 85275521, 99397517, 30786727, 80955569, 31596121, 31026803, 57542521, 47808613, 98937073, 91814069, 84438953, 46980317, 53889389, 98915021, 39084701, 36682663, 70765337, 60379379, 46770277, 58882723, 53316853, 84120229, 18184357, 38158207, 33542983, 17689687, 82931759, 58722691, 75094961, 77633191, 97832101, 92092801, 42353569, 32142449, 26173597, 51132131, 95332771, 43728613, 90514313, 50827697, 34707119, 95094367, 16373743, 77329409, 73155989, 57893359, 31736291, 11505913, 34276007, 17532959, 46973527, 53016709, 56374733, 46809601, 93345443, 93806473, 49255541, 67895141, 14193523, 10187039, 62469983, 79877711, 69796603, 82252609, 45886873, 18186737, 20754599, 57965399, 81625853, 46284223, 56181757, 64292549, 59779403, 24399587, 40122821, 73191611, 14427643, 50146907, 96809327, 40558387, 24417353, 89066599, 42390317, 64800221, 75024823, 91513801, 74156833, 60025639, 50293403, 60315767, 30890803, 77067259, 49013351, 71412713, 22757719, 50050589, 84169409, 34540027, 78692293, 43089479, 94823657, 47342849, 22611179, 64974313, 15825389, 17339977, 82465211, 33896383, 74162507, 39363503, 70610899, 56320447, 21914983, 73852349, 14461609, 16954429, 74408879, 99931451, 85348591, 22866959, 22699639, 90073213, 76544579, 89615059, 22125941, 70060337, 12316399, 10774661, 40567859, 76567903, 23811989, 75663619, 69990959, 18085877, 41182067, 78288211, 23137363, 21803549, 84444761, 72839077, 62091521, 21681769, 93097519, 49719217, 27893599, 40581031, 41990887, 62428999, 84182281, 90725587, 33478177, 12905407, 99642583, 68953187, 57158249, 21849007, 77727719, 46064881, 17827937, 96937289, 45414143, 39668569, 16703551, 23287499, 35523767, 78430193, 44110007, 68939599, 36907217, 89296439, 13330483, 67006993, 36258617, 23166251, 32566733, 41930159, 19298131, 19617649, 67511867, 78409153, 99646133, 25648099, 69734723, 19391303, 55213027, 54065017, 71170373}

{44982853, 81291293, 64578643, 16843951, 33944033, 71433113, 64978787, 52868591, 17204581, 92784649, 27761297, 49618423, 56941861, 31562623, 74526763, 80015759, 96304063, 80673743, 23127509, 65525717, 34905523, 69922201, 39265703, 91723997, 79457381, 89010149, 78986263, 78289021, 25215577, 97188239, 62484691, 12929237, 69753209, 50936707, 13034429, 93529307, 76965023, 91167361, 19059977, 25579921, 37478011, 57668581, 15805259, 75453263, 68642027, 23102809, 80954723, 52081417, 40446127, 96973829, 73410373, 43106143, 24673729, 29300437, 78682861, 53964257, 82165873, 55326709, 71030909, 50233661, 65382809, 94697917, 51316469, 59312633, 13467563, 58055861, 17882869, 58981519, 28453781, 88915199, 56170879, 45781261, 47342063, 58101271, 55225733, 81569617, 96061001, 90640439, 54163093, 61914869, 37867157, 97113931, 75048191, 11467591, 66863189, 33169139, 64393883, 84938753, 94749131, 53458577, 74712343, 33165337, 42837463, 19898917, 35623723, 18049793, 25024301, 72512831, 93002407, 56023543, 34816097, 45222673, 82262071, 34411127, 35599391, 28252561, 16699327, 13839461, 98851429, 10728623, 27407279, 60433159, 54097843, 96031699, 69067561, 68792299, 63878413, 87040559, 37070237, 85214299, 32257871, 97305443, 57431263, 50650813, 55117319, 51989513, 91833701, 78322661, 68857237, 25175039, 88264171, 64906979, 91863407, 30510721, 96490853, 24610051, 21630551, 90236761, 53269243, 27569099, 24338261, 44332367, 45376489, 53640077, 58785557, 75595823, 25923757, 92073493, 25039367, 68497873, 60184847, 71664587, 66906481, 14429917, 64658437, 22495381, 34021447, 87905341, 42332287, 17750653, 73311389, 71289661, 86699111, 69143197, 18014741, 85198411, 84090089, 13421731, 20842007, 33941879, 70922281, 57109883, 36127153, 37675787, 79178587, 94231573, 91662689, 14829379, 60170729, 51102209, 43769443, 99898031, 85936271, 12156251, 50874233, 74513561, 15430693, 20355893, 69382333, 73179311, 86678413, 33289813, 64154473, 27373537, 14651123, 55312057, 98777621, 68766617, 29007107, 22531679}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{71227771, 88283011, 74570737, 36080593, 51558539, 51458753, 94186093, 26575613, 45249851, 91629841, 91925311, 78882071, 30429277, 40833889, 85577819, 58979807, 13487819, 73598101, 30247309, 26870729, 18382447, 36059003, 21067919, 76174999, 40757903, 80740411, 60492217, 35376529, 26178983, 89572313, 12612323, 30473257, 57836489, 24942509, 66768941, 53255999, 43014431, 48974803, 35359403, 43171411, 85671529, 31677593, 16434251, 59859469, 56774623, 66269783, 59974597, 97347091, 24059899, 29472983, 86511259, 28546181, 55551409, 76568887, 26101321, 81162241, 97578791, 20406833, 93735821, 67653667, 82515683, 71852051, 84316247, 83870041, 52313831, 51350093, 19356979, 91543813, 71037277, 79364633, 80374207, 92000509, 35406731, 52126831, 44338901, 41286871, 17509957, 61925173, 74704741, 31710187, 81865891, 28677841, 76795447, 28321999, 49594957, 98590799, 30316529, 39463709, 63300053, 17962699, 34965143, 57573041, 25486091, 66135647, 88934761, 49865021, 95252533, 33300611, 21651167, 51401881, 82605827, 24331019, 71325913, 92326999, 68992643, 65633593, 81608599, 69356561, 66248341, 29631743, 56357923, 88106141, 71713591, 54842933, 96669799, 77585561, 79291783, 53457667, 78765983, 18381733, 17921923, 15230069, 90821261, 58304083, 42297973, 43901659, 21239479, 42881819, 75895801, 99732383, 27915967, 22765387, 11574593, 50011141, 15195287, 29693173, 34803541, 74032397, 12214361, 15221411, 14239273, 66025577, 14177963, 11143931, 30351589, 84215723, 47849981, 78563659, 35507093, 30974297, 49601119, 85898663, 78475087, 62867369, 85203851, 87125201, 49174439, 16444163, 85383059, 96059203, 78426787, 26750947, 48158741, 37925603, 87155749, 47146829, 13725727, 44081993, 54970661, 63821669, 37746847, 61152373, 36056477, 94116193, 46174963, 90159373, 11463329, 14560927, 14916263, 55916921, 95091697, 60309113, 59213767, 51358597, 65060287, 77750501, 89679839, 43234637, 38858663, 10456687, 28391981, 93915223, 99278897, 11868929, 72241051, 36394087, 84124097, 36596803, 54642787, 81002071}

{68563127, 54972109, 21651979, 77842577, 16717097, 31991143, 80559097, 72670837, 86705809, 31983233, 31575311, 71355803, 95900243, 75973189, 73302511, 57097301, 47627939, 47962861, 11616427, 42880393, 39329273, 13144211, 53557199, 57131699, 37754789, 94009703, 29997829, 51915091, 67600121, 12994973, 48875369, 75789583, 64972319, 49098547, 13416283, 75981011, 81055837, 25170517, 86739421, 37336399, 85315823, 17308939, 28319281, 93826979, 20288557, 59655289, 57690671, 79436431, 22496753, 82101839, 74141833, 90939077, 68804507, 52057693, 21062749, 13004449, 73744849, 14260189, 71201059, 50709161, 34845469, 13965529, 69249673, 68836307, 74116337, 39348461, 40934891, 65725489, 68242843, 88612877, 60793907, 47495659, 13170419, 90190753, 81384769, 88308901, 14924731, 61844477, 16994867, 28112053, 44165939, 92248243, 80900507, 18954557, 99424981, 91606057, 59801647, 27000511, 52831249, 69009169, 20373767, 13888571, 81146243, 60837617, 58836991, 70931719, 39603703, 41801813, 22959917, 32164597, 20578763, 14286593, 25005089, 96550241, 11083547, 65054351, 84911927, 98639239, 97444201, 25730849, 40573453, 22210129, 82363297, 53854441, 67690177, 79314577, 93333551, 21533983, 46058107, 48254587, 44441987, 90418441, 44741341, 27489247, 79448597, 59956937, 93464381, 53417737, 59027369, 42288461, 46853669, 67932287, 67249661, 80537833, 29220101, 83516687, 96255059, 26194507, 33263873, 15525359, 20096123, 86066797, 70251439, 50002963, 10908593, 49102381, 98326447, 49573129, 29535271, 12113303, 22029731, 75997573, 60186793, 80959397, 38410453, 59173559, 23832227, 53723717, 17620787, 16838509, 49765687, 27310399, 96923773, 44848637, 30136039, 98440781, 94630309, 82638883, 99300679, 11788589, 21757199, 48129827, 68224033, 22365197, 59401063, 25692307, 17689897, 20304589, 13759279, 61826711, 64451297, 99303049, 96674321, 75743203, 16999819, 94893401, 10764869, 26361457, 98793481, 76712369, 90678359, 90654131, 68070463, 73731649, 28150513, 67424657, 57865699, 14719763, 79676143, 21249731}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{87462097, 76283509, 59895943, 64245607, 49190633, 37466999, 25936117, 59717219, 60772871, 29758621, 21332813, 62435119, 16938199, 70962197, 40517683, 44089231, 72923443, 36524387, 32928061, 54826279, 27895369, 43126543, 46292179, 60835987, 56993393, 63477581, 39983693, 35922763, 48246739, 11864491, 51388973, 69989377, 89435231, 20648167, 60599953, 57226331, 21387973, 55236719, 27093499, 28178419, 90903853, 16096721, 40694939, 70198703, 41463473, 31608713, 49336099, 70873247, 61234273, 23493247, 19946923, 63694591, 34427429, 21733681, 58522663, 58772141, 54276017, 13176299, 10193791, 98844413, 77032463, 57080293, 54071243, 27862771, 42084407, 91488041, 75149873, 16294049, 66836831, 84699371, 29950021, 37354007, 11606561, 93723937, 16157849, 43638121, 53240309, 12673873, 52052029, 76653361, 94802117, 39389111, 25001807, 41361647, 35529589, 70423867, 61971733, 63143929, 71010983, 65764213, 80393057, 31969391, 33754937, 95167609, 87297349, 63746887, 71171189, 22970027, 12647707, 70885489, 43044611, 26362387, 72271789, 61120229, 68807437, 52538183, 59660473, 45229039, 41619667, 93704441, 73794737, 42192307, 53035667, 33701879, 72750941, 55534499, 68943401, 44118941, 85103867, 17743049, 86229851, 35216429, 98931871, 93045577, 73849253, 92190491, 15629623, 85701479, 51945461, 76700257, 46533467, 63731923, 37138679, 80189099, 66815107, 68469337, 50069753, 31096837, 37552357, 50895323, 41540539, 22128341, 39359927, 38011829, 79533787, 39420617, 70026479, 64726709, 64617437, 52109353, 34767641, 77393717, 18117667, 56359351, 24987653, 80277023, 14032283, 36370253, 61951159, 57554411, 42277189, 91068101, 53663251, 13584203, 62825681, 42925189, 38863337, 97023767, 51505967, 25364393, 23576401, 86856457, 30120877, 93516253, 50454889, 56425139, 70977253, 89366699, 35111233, 66385549, 80205493, 19441847, 52753427, 89405689, 30884351, 95222909, 42137063, 95027477, 36497977, 18257093, 11401249, 33496909, 15140869, 59124497, 17529769, 60922343, 28347967, 38796011, 18816269, 69128261}

{59045279, 46752809, 80912743, 59984399, 34677961, 68861887, 92538349, 85655221, 31811651, 94895261, 57208831, 96676553, 91004779, 32216869, 52365337, 28664459, 81796103, 33745343, 92776949, 73618921, 84132443, 15362989, 64171741, 68470967, 82156303, 69299317, 87681719, 18092707, 98988899, 80569777, 16858253, 25544261, 98631821, 23069369, 66372511, 49405141, 92514859, 58527949, 17860573, 45018079, 52543669, 92173607, 42429323, 50191423, 72278669, 54124297, 62566759, 39209903, 51966983, 23286259, 71840579, 92506907, 80558579, 22843321, 40472963, 20254121, 65456617, 56233147, 43370003, 12690679, 91270631, 27434177, 89722601, 76877803, 41973313, 23138981, 25685059, 11461049, 28277903, 26620157, 43965193, 45262969, 11844247, 71009693, 92571881, 83878043, 62049587, 99773981, 91448113, 55419233, 38077727, 70033669, 46140631, 83180743, 26900183, 26755621, 68954231, 33707021, 27238817, 47344109, 70763621, 34414603, 95828753, 46945397, 71893741, 82134607, 95282153, 87570271, 55196717, 99576487, 12984599, 66349541, 50326937, 14780581, 28081913, 49653139, 76034467, 85185539, 40611229, 90274619, 57606427, 45546079, 56038187, 55944821, 65634329, 77169371, 42820279, 41897411, 97545211, 24576413, 60953329, 17042213, 71947639, 40601807, 56061953, 48164201, 34774391, 59177717, 80391449, 86350309, 94029041, 76942043, 69218483, 83391857, 88791631, 23747089, 95701663, 49044637, 84953867, 13223831, 43391233, 18260357, 99132589, 52544759, 16251247, 87593353, 95300237, 99323747, 45447707, 93307913, 22043309, 45997619, 69391369, 16950749, 99707789, 57494639, 93664313, 14586107, 65723051, 13084727, 58220083, 14188939, 26273749, 79886171, 56032943, 58700021, 81702419, 18204709, 53478769, 67626571, 66219487, 88361411, 84337261, 53041511, 21743807, 84669337, 18433847, 25887643, 62543477, 59053777, 70658603, 80298241, 76441087, 65687081, 75256369, 15950449, 51522071, 63474283, 88563859, 48143419, 35324101, 72541949, 83827781, 40597811, 87261709, 57820949, 40946153, 42121243, 28798037, 11315809}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{95775283, 17303617, 77528459, 32786207, 60936871, 54188473, 38076191, 66026893, 94270181, 45424681, 43882901, 30527423, 10875559, 66841139, 50214181, 81166907, 62436889, 75919157, 31687267, 17341127, 13192463, 77725987, 42136873, 46340597, 92705021, 69492547, 22258021, 61509883, 22898399, 94206559, 27558019, 12410597, 95833691, 83393501, 48802433, 72773749, 53992999, 55066937, 56595853, 85973359, 17621249, 18320251, 18465589, 14883499, 31030619, 87552607, 15568519, 61675981, 38810461, 29752351, 67697797, 32496679, 16222499, 41324749, 13515533, 44049727, 44801501, 13007003, 85278839, 17411227, 77479373, 27642749, 55434073, 55078187, 57084271, 35605253, 11489081, 69994889, 69336919, 12617029, 92323723, 54935009, 92087921, 23005667, 66928429, 54967067, 56610887, 59359871, 25372499, 30087103, 83337983, 30522889, 47099629, 32781689, 65054351, 51592661, 43665421, 26487509, 27427853, 44295791, 61986193, 31544281, 35403853, 84841753, 28978373, 56262691, 33371687, 89140937, 40424207, 20842181, 79513177, 25627289, 93160121, 81831767, 14919763, 37056913, 19140221, 48114751, 13777229, 28243777, 70386061, 67051583, 24910087, 67735729, 39896359, 84725189, 73891813, 65478799, 75023833, 48808621, 35915107, 78894911, 68218187, 22467001, 52569553, 36263377, 78528977, 49794259, 22396399, 51357001, 58993967, 95542663, 99755119, 62035471, 40088837, 55638031, 20825177, 74453689, 54296513, 23291969, 90798329, 83914843, 16637009, 95375099, 74518981, 73811321, 44812721, 90141137, 61566793, 50232277, 86417879, 61317019, 63740513, 18672859, 85867283, 78963403, 14664709, 17441311, 89385259, 71609719, 81051161, 90382381, 76879091, 32524567, 94762141, 94199219, 13213297, 79675507, 23814073, 18107897, 51909499, 18045439, 81988451, 39174259, 59036207, 66581653, 48957049, 58582439, 38448211, 87838181, 27564539, 16069673, 68614103, 59216263, 45393731, 24499963, 26552153, 17461529, 79972589, 41366683, 20655853, 41611849, 27637627, 18869287, 15605417, 22152023, 49287319, 86155247, 45190231, 63374461}

{64450783, 99308939, 12836143, 15568873, 12563077, 32491633, 48808861, 43587331, 86894887, 71653259, 67734649, 63405211, 30548797, 19727311, 36817637, 16891333, 58526269, 40639867, 10619501, 84303277, 32195743, 41508421, 15183173, 36688609, 53056387, 98054629, 91772917, 23175847, 90161329, 34045279, 45029513, 50868971, 78624151, 27792031, 60751969, 52282651, 50946851, 88160753, 93643751, 20090839, 55771249, 30181969, 40344797, 92525549, 68710709, 19989191, 90274993, 11847907, 16330739, 79361963, 63397577, 83341381, 48656501, 63400439, 28058293, 21248687, 53001463, 24263489, 17957777, 17398721, 95829403, 53044151, 80767891, 55472059, 45851569, 86508269, 29361097, 77545547, 13269017, 73239841, 46890887, 98632609, 58236433, 77435707, 91483289, 15789503, 43578833, 73573979, 75999311, 43332577, 56741107, 54352651, 92279507, 77918353, 96628691, 27753953, 67973933, 97212041, 11189027, 55181153, 91407439, 20224591, 82542767, 22084793, 75730199, 73065961, 78314039, 41637119, 82845619, 97705639, 33283709, 84595561, 13706753, 81171179, 27065629, 37236259, 59742281, 15914753, 94571591, 93876361, 45475769, 64794481, 56447431, 26523547, 79622843, 80685301, 70901011, 67170977, 47783171, 49944907, 47062007, 45631169, 88586513, 72407443, 41298703, 84598889, 95363599, 64013221, 79077773, 23485051, 36705791, 33799237, 31177763, 44388523, 72308237, 67390643, 96351851, 80091721, 88154761, 99312529, 50339551, 69452351, 95381827, 89971649, 46902743, 95379101, 39200123, 44578753, 22860727, 93788887, 67305673, 67461409, 97694251, 79643899, 93179587, 76744049, 33085399, 21427103, 72646513, 34029407, 45991619, 26834999, 80578447, 39164689, 74265277, 50647099, 25944379, 67295147, 89292719, 70106303, 87960419, 57002107, 86124317, 71496827, 12719123, 40710013, 57189179, 87427859, 82786661, 94419667, 82073423, 30958699, 86436577, 53071717, 68076049, 58635293, 32902897, 10154071, 47161921, 39668653, 10228429, 60446453, 61486979, 57109027, 97717759, 94397087, 89080787, 19496921, 16564397, 51863563}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{44911151, 12695497, 42670231, 32731913, 28360687, 24621677, 96597377, 31281181, 80307727, 42436733, 38487679, 50432891, 15697181, 59253811, 15030833, 95533583, 63690853, 14906917, 48346751, 82702999, 95476229, 38552713, 26290213, 17226301, 93808621, 24440161, 67068721, 42763361, 64295633, 86350631, 78603541, 21662989, 20508041, 12648631, 86412773, 58657747, 53854637, 43725937, 50517097, 10553633, 63109603, 99573629, 82318427, 35422193, 36857111, 78428719, 34881989, 80889019, 48124217, 36932197, 10628641, 47637299, 46324007, 56912381, 96503557, 64091957, 73773269, 22399067, 67355117, 34826611, 32158639, 42617083, 35642599, 65549669, 68911373, 12322987, 51475799, 85849867, 64225121, 48418393, 92943247, 51591577, 38435251, 54295771, 15430763, 33354817, 86192123, 57279797, 52584431, 28717781, 79110349, 53109899, 13428089, 22096021, 43974443, 90649709, 36258617, 35174599, 68904943, 33996943, 93127313, 74035783, 87560087, 62525987, 17915101, 24701581, 44432977, 80232869, 69703187, 77673137, 25483387, 14046517, 72402529, 80264321, 81949321, 78245903, 95611181, 54897737, 16818853, 85131499, 32060291, 13884331, 11149213, 17707457, 47727773, 46610407, 25293809, 78514637, 51747589, 92494393, 96226847, 70650179, 24838901, 44732789, 66454763, 47680637, 61844569, 28532671, 37106501, 96023717, 83999581, 12489779, 25398551, 29315953, 71285849, 33779453, 24086383, 29724749, 23438411, 32677691, 27468823, 12293507, 24996211, 15261593, 28873561, 60367079, 15497177, 14929793, 75377243, 30507047, 18248927, 45818681, 82436987, 94319809, 94435727, 47917091, 59949713, 63463889, 42488111, 60089207, 40883407, 67130681, 16515019, 39101813, 99166531, 91373773, 77662799, 40646467, 35493959, 27896069, 23919449, 14113109, 79024457, 82290223, 99259711, 76351151, 86460947, 48225509, 18242779, 45974101, 70778321, 25193381, 97656121, 40481549, 83841029, 24850253, 88271251, 14758333, 28229501, 81331489, 91963741, 28921099, 94307569, 12989429, 48009397, 50183461, 48182669, 90851557, 24659317, 40387247}

{48622451, 62571571, 80250437, 23748463, 35307049, 10708921, 57182687, 24481027, 40652107, 55854371, 55427341, 79523069, 37161601, 51351253, 24033883, 50354977, 67616141, 98664157, 99138877, 37785971, 98813987, 92084219, 61005643, 67227289, 50207803, 93505777, 65962223, 73358683, 94217399, 69844639, 51332227, 13836913, 87266129, 29780489, 55002751, 81924889, 89197481, 41092301, 51507217, 15395687, 25024921, 92024899, 42355433, 17779273, 22645039, 76603567, 60478631, 16767449, 83862797, 96157889, 87497401, 54549707, 52643651, 88935293, 57525311, 29808239, 63676363, 26661227, 48550163, 65378771, 74312267, 58143887, 24551963, 44951947, 94533917, 69614101, 20699407, 89927371, 43242743, 60814867, 14500169, 36693071, 64971139, 97961491, 50265779, 37932373, 67334867, 82908349, 24214867, 22910213, 91969783, 31474301, 39498737, 68017793, 61433947, 37251779, 42600919, 66043697, 81189833, 44516389, 58473101, 79376431, 93132967, 40618451, 82770827, 57158831, 68954443, 48150913, 93583661, 15488953, 68456879, 52621693, 39499951, 41989489, 75277399, 75153503, 23097401, 83202851, 79027037, 85299649, 70322069, 67843883, 84576517, 70990159, 86225107, 64311581, 21490439, 89128673, 29201033, 95423249, 40565047, 91848997, 87253093, 92809621, 91343509, 59521003, 51907139, 63121337, 97757683, 76480687, 13748069, 69830659, 50732863, 38111683, 82517467, 37411607, 65480777, 39483487, 65715449, 50550371, 71817227, 80752901, 30964823, 23369471, 11714491, 73615637, 63123013, 31162477, 34532473, 17878633, 55307039, 93572527, 66824117, 97263553, 27361879, 22316017, 20934959, 45761857, 69262057, 32528953, 82124309, 46798819, 72580337, 82606949, 30828913, 77262121, 98745947, 60370813, 35258987, 30252371, 67045267, 75051959, 37820557, 82882147, 13867379, 40180229, 44088119, 93745357, 48557959, 77255207, 98909647, 19515553, 56799481, 33283157, 59460187, 68216147, 29170523, 37289243, 87615239, 27540257, 57995393, 47991611, 38234461, 13116119, 49230551, 80308427, 66502157, 16686781, 92643619, 69002441}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{52319941, 38029681, 46344539, 10716661, 92171509, 54173629, 11819417, 93770041, 73931581, 68899543, 17210467, 64010239, 47639437, 33260699, 18625993, 94245799, 82793947, 94909159, 98029111, 56695139, 47432659, 14952341, 18078041, 45934433, 35461061, 36401009, 87995437, 30519451, 78259757, 60672589, 81369103, 20386549, 79288169, 25582313, 71168437, 37523887, 46462363, 60344243, 72539689, 99900971, 44555243, 14157823, 59030557, 30544411, 21357071, 26553169, 68756021, 89232211, 73965811, 56726221, 49329919, 87318331, 59587709, 14360821, 77213471, 94091527, 40885769, 77305147, 63840199, 30496619, 22383061, 70266673, 76932169, 61613329, 35873921, 28542001, 66295507, 95797831, 25740521, 21558041, 14922779, 77741623, 44235931, 99792289, 25432531, 16976161, 10445471, 51266147, 99628547, 90450119, 85411171, 14021807, 26792149, 11304427, 39782749, 99109831, 90034423, 52557529, 94067023, 96201089, 43726531, 79492913, 21832907, 52457681, 97927097, 47711887, 24041057, 66229039, 52414283, 45875623, 51220139, 90663121, 83348477, 37597771, 57230431, 27923341, 37821911, 67863083, 30811433, 93673189, 26164153, 13594283, 85695559, 43474903, 68897111, 83977469, 56962963, 24374111, 79704851, 79673287, 18611951, 31183601, 67463059, 58747229, 42518197, 49068709, 86233261, 61801141, 54185393, 41633129, 18903611, 97594351, 31944599, 38628173, 96913867, 71409211, 48329063, 23689639, 54591881, 67460059, 57139547, 79765481, 92768033, 46816027, 70120657, 32658419, 67385089, 77575787, 14107801, 63874271, 88008493, 76966537, 91649587, 15697673, 65752879, 66332723, 22652243, 29208131, 50049583, 84422743, 48039421, 31939729, 10257859, 99174937, 78887773, 75374951, 60364537, 34993471, 45068609, 30223189, 45699887, 87850907, 96427411, 96843863, 45644359, 89901613, 29712071, 62820367, 84181423, 95612459, 56128123, 61372999, 54793657, 92056873, 59834711, 34342073, 41118167, 27413993, 92077633, 16330733, 97254149, 84953273, 79737929, 18572971, 12397873, 58460357, 45741251, 98767381, 39611837, 84812513}

{56177977, 12101659, 43134359, 65796781, 82140563, 53524613, 44109839, 96371293, 66208321, 83484439, 20615293, 26245777, 25392527, 33323033, 64954049, 31710781, 93460817, 29968879, 95726753, 59421827, 13042259, 49423903, 68355823, 52253063, 76281617, 14061001, 92407069, 36168901, 25092259, 87820301, 25376993, 34315373, 75372419, 77342663, 73521809, 20113391, 13771697, 55184573, 67674377, 10094761, 97394977, 94034219, 95945539, 38025121, 52212653, 63056831, 98569871, 19136189, 15713221, 16476919, 86142457, 57115231, 48041689, 33080051, 73735379, 83210609, 67804097, 92028949, 99720529, 45802873, 18484243, 51710803, 59723029, 51341869, 19985209, 46384099, 16849207, 27121687, 69703279, 94475141, 16177043, 46190107, 55410119, 69447767, 91032299, 99540173, 77973937, 77433289, 74397077, 96567091, 19709167, 22497637, 10297669, 43193933, 22922849, 45080339, 76864673, 34746791, 52356149, 79948933, 72953663, 15064199, 31633111, 81595607, 43267687, 52732117, 52085357, 41440649, 37506319, 84087743, 45027127, 41642437, 43568587, 47002201, 94960403, 62289251, 99125269, 50397829, 81935123, 89516261, 41650571, 40795091, 39950419, 38671057, 50620211, 21597671, 44343029, 40884517, 23229119, 98814167, 68319857, 47006719, 60012947, 59231057, 52609477, 59725951, 23373859, 41737417, 66618247, 24423559, 26489627, 36520651, 22159903, 13215151, 79520933, 75432737, 94419181, 17522977, 43230373, 58407047, 78050197, 43835483, 42173921, 47203991, 80255431, 49389421, 30403459, 91137779, 17639593, 11365007, 36145243, 97972937, 61183039, 17248411, 43391527, 24272147, 46613729, 75688621, 67299733, 21627937, 18189841, 17179807, 11301313, 14370221, 63071381, 36907511, 23155703, 22679593, 12127057, 12897197, 57494933, 29388613, 17975929, 17327489, 50723599, 54993857, 22530601, 29986039, 32033161, 33264719, 40772561, 78091771, 57485399, 61204163, 83044769, 97878479, 22981157, 37727759, 84819107, 38085071, 96990419, 27150577, 18818603, 34075933, 14610041, 58769927, 81487639, 61891931, 90831413, 91516121}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{73973281, 89406619, 33551333, 75317819, 32488229, 55171483, 48849223, 47859349, 20635891, 24896759, 32191561, 13627499, 56409637, 93077183, 62824771, 79585553, 89196251, 75182053, 17780813, 11290519, 94998121, 31850453, 89299937, 34716347, 90028271, 53831377, 26191229, 52807283, 60597419, 92956991, 85590313, 83908777, 72769441, 89668519, 71812331, 83417183, 48021011, 72333533, 47821937, 69084181, 20133193, 51976927, 73243787, 41509739, 14319341, 80912801, 68534287, 65487529, 55439101, 84714541, 77311319, 56149231, 45050441, 25462621, 89359883, 84315503, 11492941, 67571969, 95210189, 11544509, 97251109, 90526783, 78646553, 10132763, 42831479, 84908609, 84160429, 68579233, 93192349, 45203021, 41218673, 23012047, 28463849, 48616913, 52581079, 24101549, 63752993, 17531071, 62210761, 10296401, 32549557, 48366391, 57434263, 68481409, 95004127, 64235579, 97215653, 11623753, 30556271, 70755931, 32099129, 25714219, 92284217, 61192993, 41754281, 22541837, 77680243, 14730043, 71255753, 18572863, 79855073, 33932299, 83092577, 33577871, 47251123, 20122519, 22348619, 28776001, 91924351, 30590311, 73933087, 60776539, 97935241, 49130261, 40420057, 66596281, 63005599, 29100791, 28571471, 51956173, 80633053, 99852803, 60361969, 39011129, 40585927, 47745073, 65890003, 28899649, 36790847, 95008351, 58738241, 81212221, 24695357, 60733973, 86409461, 42078371, 68105263, 92447503, 92568317, 43157879, 53665091, 11229017, 23507669, 45566977, 30531653, 21253853, 33751489, 34420079, 34788199, 54487403, 92259331, 20414557, 91913243, 21571357, 96730853, 79039453, 69188491, 93360109, 41167207, 65848537, 71558171, 15154417, 41589329, 17362273, 88172519, 50419591, 21886663, 71951317, 35512271, 28962079, 71040881, 14925917, 80213557, 86220011, 99382489, 46104727, 31473187, 38108599, 52854157, 63101561, 39643561, 83296793, 98647421, 88011289, 40794973, 27943841, 47000221, 44960833, 32112589, 12321893, 75775649, 33407239, 61706207, 63510709, 70147247, 19014187, 94509661, 85005407, 49127431, 88387711}

{20173957, 76405759, 77435933, 26136443, 82345339, 29915981, 11750131, 29516161, 57119861, 83365963, 74585657, 39094691, 12529633, 88007653, 77951407, 98753959, 38906993, 83715403, 50951881, 40734857, 26825831, 44049893, 71133679, 70105507, 50437117, 22893889, 57805093, 43509769, 16874843, 85144051, 72629783, 44487371, 29489399, 81370507, 60319099, 66904477, 16492477, 37787819, 99108707, 38280929, 24261583, 97902659, 97159081, 95731061, 34826927, 59641877, 34940443, 41983957, 25690571, 88984717, 38102459, 26427017, 90247769, 54169501, 85950023, 10559993, 98045657, 44520193, 11249741, 69081821, 52042883, 65847083, 26491109, 95894933, 54202361, 81523697, 12605647, 90702919, 85439357, 51986399, 30285581, 13779457, 81791779, 84313519, 20825239, 49929013, 75022897, 13931117, 77454031, 97318691, 54573017, 77644921, 18593233, 21332711, 15521687, 97573351, 47920541, 86305907, 20907941, 74597161, 55488071, 87604091, 94537501, 54703819, 31559251, 65614613, 61851971, 96976511, 73719419, 36225551, 43276561, 46640081, 35680609, 74489551, 65379439, 70771793, 97379017, 74886737, 50900897, 34085243, 43778263, 52039321, 65985859, 69234617, 28557313, 81567859, 92442307, 17290289, 24000517, 36923413, 62916781, 63380353, 89256799, 52517831, 60760793, 16168687, 69959147, 63873869, 39103003, 38433709, 61722379, 83431609, 71088499, 43946557, 14707619, 37053197, 41935519, 29591587, 31867603, 33540011, 52177303, 81170281, 30206389, 21581881, 11875453, 80845339, 93658907, 49248131, 86976691, 82228759, 88605589, 30607289, 13577299, 53861453, 55544017, 21016901, 49870993, 83955349, 10417793, 62913023, 78154313, 97300123, 39914669, 67763699, 32505493, 49933297, 61671977, 74023871, 54002783, 32429849, 68783081, 40938701, 98903747, 22521563, 52407077, 70952291, 51692237, 34258793, 16727939, 41472803, 75035971, 22732789, 25857781, 34237207, 77690603, 13723891, 33141967, 88759589, 31848151, 92341163, 19241191, 68175277, 62759573, 76109837, 27825857, 71050439, 62454317, 93164821, 42781433, 81760529}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{21729797, 85935653, 11905097, 19307891, 85098313, 56751091, 92094637, 91123657, 15927281, 91874603, 43668193, 18884927, 95250361, 61959031, 37918841, 57056497, 28684417, 41179183, 97306739, 86605403, 94694533, 14942981, 87093857, 41319581, 82257157, 11376643, 65552437, 26521787, 75274669, 97807669, 92204051, 86392307, 59716759, 13716767, 11591831, 11258959, 65138683, 23116739, 72616361, 46514747, 50032397, 43025833, 29268059, 68982077, 71409343, 40464311, 23197913, 76273643, 77149123, 92952767, 71330573, 15871019, 70356967, 81627607, 45558367, 90966221, 99341563, 95866003, 26410777, 54912233, 32769587, 53361907, 75612347, 51629873, 12609613, 62981003, 69736031, 13332491, 59559629, 76095923, 15558583, 85118587, 62729129, 63955981, 46462571, 69976009, 68008957, 48322607, 16745437, 28861451, 67546081, 53993293, 23573447, 40122413, 43507439, 12500893, 45276971, 25215563, 69104323, 80925191, 61244681, 18829043, 36935729, 35735339, 80829953, 84944113, 10749811, 48148409, 28548607, 59247889, 57872527, 74235913, 20803129, 64915393, 12254131, 28456609, 59009911, 55052441, 87539119, 62603089, 10013317, 78891641, 19303871, 85550561, 38607887, 62776163, 38444437, 23640499, 29223011, 61723891, 56914687, 56364031, 20576873, 65562593, 55827319, 37647023, 99578879, 87418711, 36363149, 18493169, 49251353, 25356049, 11860613, 60227159, 50035351, 53792311, 35418389, 76915609, 75606227, 76403513, 94500383, 49292557, 53346077, 42627337, 71492033, 18888257, 54787769, 61994503, 96461947, 79612409, 67736689, 16792261, 66925577, 42024553, 58208411, 36718859, 86061809, 77647651, 76083773, 82681259, 64215869, 31207879, 88214957, 38152321, 99955673, 62043301, 43824331, 62980273, 24626419, 16946201, 17320243, 88606729, 83244157, 95452649, 79049639, 69137753, 40564169, 85906621, 77085133, 44489933, 64424221, 75734471, 38200619, 72738131, 36846041, 58692679, 55311937, 10350479, 15928999, 60011449, 43719727, 60141871, 22930597, 97147103, 93285901, 99482869, 70985339, 28637431, 16262317, 85776157}

{76987793, 29718911, 92390827, 95115721, 81840229, 61121779, 81849583, 24359107, 54865621, 46255543, 70899527, 99640831, 94888741, 15398533, 50671559, 20900993, 14364241, 91464649, 21624013, 82427281, 43811857, 56101993, 65750647, 93732281, 94545833, 26854987, 20314981, 30970453, 79861787, 74384987, 54937709, 21460727, 88907843, 57099293, 59981177, 65574881, 16234217, 52557157, 55308349, 25514861, 48020899, 77113567, 30682627, 65373961, 66837367, 63764903, 88161743, 74042929, 49875053, 48428269, 63500873, 37292357, 29246281, 14498681, 89683067, 56911807, 34437437, 89271151, 64937491, 89319001, 87359411, 17391529, 91364957, 23548093, 15664217, 74241077, 69440011, 11885857, 54692497, 66501151, 67207463, 74499571, 81020029, 80523119, 20468953, 40391723, 24656339, 44231723, 61322323, 79370689, 83385193, 38090483, 27835897, 43908913, 17712151, 49508141, 87936221, 10356911, 80494783, 77029759, 51322213, 30344593, 28038599, 14995273, 55604947, 48843779, 10670771, 24363337, 49515353, 33204373, 32028497, 64515083, 60093311, 50393921, 46347827, 63741893, 98910473, 57122899, 82551503, 38318747, 18606209, 69851629, 88617931, 38329117, 16043561, 57701143, 98972149, 20486891, 49245439, 31617133, 51095089, 17728847, 13547497, 99291133, 89975273, 26104643, 77716459, 18919541, 73079401, 66328453, 41763317, 48918073, 10720069, 31199873, 83645333, 99388097, 12387841, 17349257, 14021647, 32366357, 15635261, 63203317, 37242809, 81466769, 51747637, 22147897, 95639459, 56834429, 83919509, 46633151, 95174951, 64271719, 84457039, 43165393, 19810411, 52873517, 77682103, 39935039, 21542623, 48094157, 92556383, 80630047, 54208039, 54042017, 78962957, 37518577, 69497621, 12806707, 97260727, 74040077, 44134837, 94232101, 66421259, 59610073, 78182947, 14723099, 61303499, 90092687, 85256341, 46582073, 67899883, 69612287, 39439289, 24067541, 49876943, 15484817, 47654357, 39164689, 95852011, 54971663, 90961583, 45521191, 46475309, 60498157, 12772169, 57876457, 75224603, 70390531, 62199187, 14431003}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{73569719, 20017399, 53874941, 30313823, 45860839, 76891681, 42631891, 88448557, 45479921, 78550369, 88741201, 58178447, 53657189, 31375873, 71423893, 96294229, 84400847, 36642349, 87804713, 91251283, 11653699, 76688813, 67259473, 62216369, 21770249, 74471497, 80778031, 31736743, 72836741, 87537761, 63010231, 22165337, 60465397, 78435641, 69041207, 44030911, 69089197, 76729283, 18566593, 72513887, 13267493, 62351299, 42243389, 50128877, 70695811, 82741543, 83238809, 43640339, 16642837, 54143723, 24014869, 18429583, 13188601, 52128061, 56269979, 73507571, 95414329, 44791897, 83608543, 75500309, 86325913, 20923687, 25150709, 75331783, 39433487, 39199753, 21458627, 69555719, 95901541, 98276641, 10674959, 14233469, 10584253, 95244167, 97996513, 69749257, 91166941, 85069811, 98931629, 39581651, 82739029, 24315443, 20019631, 20568421, 68667979, 89957341, 51149561, 96623333, 15153533, 66853417, 93738977, 27576707, 80339557, 92802547, 34849961, 19019783, 94944557, 74116811, 49375367, 51412961, 34777241, 20031901, 66893413, 91040113, 38476943, 16652557, 56724559, 47920973, 38726341, 47738947, 96016933, 14961929, 52306621, 36014611, 35482639, 73603757, 22081663, 10873531, 61594037, 83734097, 50381131, 54897341, 26286179, 67514533, 66525839, 22359109, 35056061, 24204721, 67872083, 13660499, 31067941, 27180953, 93451559, 85322659, 20736511, 18267583, 60554243, 61545193, 89915767, 34984601, 98737523, 80957911, 66811057, 43546073, 47771663, 92010313, 56037671, 15790967, 99610117, 66348811, 31230323, 13887737, 11173037, 92714197, 56934923, 18833453, 37282013, 50697613, 26881711, 61977547, 64442473, 98017327, 34766657, 32616377, 35298041, 16179599, 36249749, 12618803, 17234297, 59136769, 53780873, 22053061, 29845009, 19193039, 20824477, 44412541, 57201113, 89480927, 77330731, 79155781, 73903517, 32285507, 36250871, 69978703, 60963043, 11048599, 90699109, 29577731, 47541029, 59577839, 42202421, 36281899, 69198709, 44932483, 70021001, 22125503, 71712811, 77232817, 41347883, 14922223}

{44924899, 29930309, 80400161, 60345037, 81907741, 81427289, 37791529, 56444501, 85617803, 39068849, 78037517, 59952797, 47777011, 30559457, 78016837, 45574091, 16651667, 38863637, 58043473, 34235011, 38080831, 15269801, 35222323, 74165513, 12440899, 70766953, 33560437, 96211559, 24435497, 15675449, 83857561, 47844607, 49548539, 19233217, 39559423, 70887989, 82138061, 98320679, 10813001, 91411847, 47516519, 53786899, 55108489, 76427783, 38182303, 95611429, 96189721, 44221973, 23249459, 76373897, 59496061, 53750737, 55373537, 21865339, 86298941, 29961739, 36688217, 37883789, 86945407, 24964607, 58541267, 39468523, 55349323, 92949397, 91216621, 24658541, 48214447, 24782761, 23081819, 22725811, 71816009, 65266139, 49380299, 53622791, 40542869, 53690453, 51155833, 76775177, 30721391, 99628247, 70269931, 95418887, 85200281, 75956161, 78897713, 39191111, 63826753, 51792427, 61048639, 13363169, 37431179, 54270071, 13879223, 48764809, 32768497, 18756917, 94665931, 75013951, 55075663, 19631357, 12767003, 77557187, 16963087, 42259597, 58101311, 93425417, 34577681, 37766293, 12086981, 34801271, 57474889, 60168749, 79636169, 93946057, 48607843, 61465207, 84663433, 80109619, 92032819, 61287491, 91156801, 68557967, 64208351, 26238409, 17016731, 62638067, 27533593, 48520733, 21521557, 95375993, 47206553, 43789199, 28109423, 55224047, 69210847, 31995101, 63893041, 47693663, 30160177, 56678917, 48063371, 33862721, 65671757, 35578919, 18173251, 70226203, 19805479, 49700939, 91797907, 20380333, 75434473, 52801207, 65836921, 91243679, 88727759, 55715389, 59957743, 65273399, 86239093, 35716147, 54205399, 21990169, 73451723, 34397989, 90796219, 57608891, 80168717, 98667011, 64768849, 64837793, 68779021, 52257137, 63700831, 18169637, 41715257, 76274599, 13478863, 83733283, 83010077, 14248783, 55343647, 71284267, 35086357, 43965067, 30197303, 16619201, 83386879, 81291491, 39258031, 59195861, 96268327, 91524019, 86865293, 47057533, 25170647, 15366251, 45072743, 69097789, 18379199, 94492939}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{39041473, 70883587, 59297873, 72376901, 92680561, 89237801, 59301371, 87817931, 73596491, 37786123, 19876279, 20566367, 57059479, 22510451, 67284251, 54344093, 64020911, 58744019, 48639581, 53641733, 86785367, 99267461, 30574939, 37231927, 81378601, 70688119, 78601667, 44594239, 12091139, 57284593, 77024089, 99163621, 60319037, 88092457, 21583181, 73348991, 77155229, 76595131, 30057109, 64686931, 42034579, 95636603, 49122407, 19591249, 90478847, 52017631, 12588391, 40391801, 40351187, 95494801, 62482831, 52358849, 13205183, 70211227, 96733603, 36599753, 94162063, 22003687, 34120883, 56225623, 30736939, 53576513, 51925039, 27931193, 75792053, 67692133, 53314787, 70850749, 13080581, 51396529, 99963217, 10337519, 73149047, 99099167, 15783863, 84908381, 56072561, 92421053, 55518137, 53995457, 96130147, 93348863, 65208307, 37671691, 37221091, 38626781, 30882157, 92454389, 52139569, 34217017, 77681717, 87218477, 49881239, 96050789, 30994217, 60082537, 95202641, 99191681, 49025323, 90960641, 78889703, 16592197, 30302683, 36461407, 30655019, 63290713, 72976721, 64883827, 61391797, 82255207, 42368243, 72073553, 57816433, 59530883, 69346393, 77204513, 12927469, 20856947, 84381023, 68319049, 41046193, 45656683, 74994727, 30136471, 94865213, 82369907, 17693563, 36518539, 87791513, 65503073, 39208739, 67543979, 58505087, 36988247, 89011567, 20630783, 30196051, 66866893, 90820753, 34353841, 62113859, 53712983, 33408439, 37589287, 70105141, 40172381, 68954371, 14755217, 48912499, 94067747, 69878363, 90987583, 93706979, 88832951, 17798723, 11269673, 62183353, 72217063, 98956379, 69697583, 36133859, 40364087, 71137541, 55717427, 19416511, 50621579, 25955873, 12841463, 31370281, 64912907, 45869749, 41240513, 22884779, 57120311, 46322011, 22006301, 90750481, 12015167, 30089641, 74603491, 69374083, 50952983, 29513537, 98051101, 17111201, 52659839, 30427993, 24349399, 60878359, 87472807, 61433243, 43276153, 24274667, 16398119, 64775639, 17044723, 68710121, 82870649, 74209609, 13070719}

{75627719, 90979433, 92171351, 68260501, 93810121, 96274153, 26171941, 29613511, 33329609, 15086041, 50669137, 82585163, 58138891, 59692481, 27643829, 67559689, 86922427, 85036997, 92953543, 12638543, 43274923, 46496867, 87087439, 95990597, 66377063, 92325349, 51701239, 97521497, 57990089, 39372101, 73151269, 12714517, 28108321, 70408291, 42173519, 68636611, 72627661, 99601903, 15416483, 12930419, 97321451, 21856409, 40426189, 21872203, 37547683, 37474501, 21685667, 33154853, 29136719, 23111887, 68926001, 11436247, 29947529, 33460991, 96833141, 38926021, 32481649, 43517699, 92786501, 25208353, 69717359, 94425571, 55228253, 53532971, 23754821, 10222099, 21554041, 56829497, 12758003, 10196143, 49188773, 94125293, 22359901, 68322131, 25639067, 97986089, 10261393, 10418791, 80976871, 93096823, 83338067, 20136331, 34264033, 68619869, 80838773, 37185887, 38990621, 64955567, 60736279, 28597523, 80139629, 95572871, 49167049, 97781731, 20706341, 27383357, 53622181, 60524467, 36908519, 77930719, 30088771, 11481403, 68848081, 43513831, 31919467, 69215453, 21344237, 24146333, 31081949, 84030059, 42895837, 37807291, 71279899, 99265009, 21257849, 48720103, 53874563, 33416771, 18627929, 16221697, 93484277, 15728047, 71955613, 37184281, 13797101, 98636897, 54799201, 66222301, 57216947, 57396401, 14231293, 42366761, 79444907, 43395623, 66473003, 91392373, 27293963, 97002721, 88692091, 55030477, 17940973, 70546519, 51412297, 22016437, 64279307, 11393951, 99991271, 89232383, 13069579, 99593441, 15244379, 91813837, 28234091, 84557279, 84191677, 40387183, 55112891, 87391229, 70989887, 69081461, 71145791, 66224663, 16264007, 81594329, 49977871, 49693799, 12960947, 20151349, 92040407, 39621097, 66324749, 10411073, 15217591, 82060567, 27994559, 74025209, 53168729, 32085043, 57937589, 11147237, 26387797, 86771533, 54066347, 51795377, 63011797, 53553091, 55173917, 14835581, 72643891, 99603379, 10686509, 22856329, 45463811, 45064241, 81698959, 35055997, 58605971, 89900429, 50381809, 82085671}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{74906593, 97429897, 72717097, 71566163, 55121029, 95091389, 30140101, 31498879, 16077731, 21917737, 81184577, 67612163, 79346867, 11723911, 62668231, 97825751, 92151253, 96704303, 77437097, 60611687, 89405249, 13215607, 25933889, 86916341, 95415823, 64769893, 29361919, 88625297, 16171973, 85118647, 34991107, 10002547, 18429679, 84130169, 65116019, 50599019, 62419783, 96918313, 20712449, 42615569, 23717371, 23659751, 63116173, 74633113, 63421123, 40091497, 73881571, 78560557, 36975269, 11007487, 69539629, 49126933, 37105073, 43255189, 60737101, 86293279, 46843081, 50221739, 74037221, 41976637, 17587789, 58971727, 75034313, 96616489, 62386609, 37235741, 49559723, 87657461, 55037951, 57691457, 70043371, 53389057, 16529549, 80781641, 82443359, 80718059, 58071071, 73280237, 10949201, 99188203, 98745737, 27598877, 45229097, 88296107, 99345497, 69920453, 52084573, 18888461, 80950609, 41078129, 44453291, 54757271, 84734963, 89734081, 59941793, 20187317, 55803211, 38308603, 15775481, 85725719, 95739143, 44739139, 41450011, 68602069, 16065737, 78304661, 54453913, 16715371, 24330239, 56120951, 55498021, 35067803, 36540013, 66185621, 83435623, 18929629, 69684383, 88775893, 70132567, 56508709, 29700709, 58728317, 30752083, 16905961, 33358739, 52150123, 61867919, 24077381, 74539501, 94490659, 95529361, 99396679, 89456267, 99752857, 46182947, 67595777, 53027321, 73765841, 54458923, 22372873, 76029581, 91067701, 75372887, 59438261, 57379417, 70116199, 89189953, 79961261, 57951547, 10410523, 97830181, 94592987, 56413681, 57104143, 80871521, 52255001, 67030517, 57093961, 20566841, 85383931, 33087709, 83559941, 26570701, 62180557, 44031397, 13018139, 61706527, 54174157, 97454719, 83154289, 74329747, 97447183, 12018163, 76767269, 94540921, 22555241, 79814431, 71890439, 31289281, 73878029, 28863407, 39662347, 44876789, 62084233, 28976267, 82167053, 43018399, 37300663, 65147039, 89568599, 99579869, 48711791, 69905453, 17639981, 18326821, 29898773, 29964247, 20849119, 17598403, 69887267}

{26282587, 66222601, 21980837, 34503751, 29408723, 18305747, 99817093, 15914009, 38281753, 71467441, 29244331, 50332363, 50894953, 53939741, 74342791, 38338721, 64359233, 65016527, 68333677, 94350199, 26104457, 80325523, 95933947, 32312773, 10111639, 76655287, 94275547, 69507661, 59777239, 69451003, 52348133, 27620311, 96707167, 56068451, 45225673, 25092341, 24453067, 49172989, 53219563, 76222693, 99713893, 14621483, 13303117, 69901367, 30103217, 59525251, 40094101, 52577801, 62922817, 63259403, 22156339, 93836947, 16903301, 19104233, 77593211, 75631547, 11221219, 12147739, 86470357, 99433267, 73661837, 51683719, 38253661, 13750169, 66809593, 93803351, 78050053, 78360979, 31532863, 17579257, 44437697, 78369757, 95940821, 81275377, 84113089, 60087161, 11434663, 33994633, 39703471, 63443203, 97562219, 18972001, 16242649, 92454389, 46368059, 69400733, 24629167, 59191039, 59841917, 33578099, 83115191, 94766423, 29119687, 85810027, 88924723, 28868269, 38282711, 93243373, 87812069, 15186203, 55952881, 47981281, 54303673, 83737961, 70982753, 51001273, 33895513, 10902677, 97249601, 45067387, 37032343, 13439527, 34603507, 42713107, 52259951, 79219411, 24673531, 72448847, 57624571, 46388143, 96653131, 45182521, 66081019, 16561057, 33617489, 49964731, 48378767, 59571097, 81529751, 58270969, 73384217, 65311121, 88174727, 59807609, 56266897, 37012889, 27540553, 44852501, 50839553, 79458283, 65509033, 38645597, 15908329, 50377267, 24426361, 53050937, 69523463, 78717797, 79716629, 65522417, 68055149, 21424049, 38251121, 13044131, 40251667, 57226567, 14545357, 43042133, 18295091, 38654953, 55811009, 83218753, 63743959, 45421763, 32629691, 41961643, 67046797, 19777763, 72797119, 78356221, 97163743, 42030253, 24936391, 82863601, 62381317, 27972643, 97437451, 67036367, 34967027, 36488899, 77249437, 82089593, 55083599, 42443633, 45726893, 95023441, 49116029, 16002787, 75231521, 59816209, 13079081, 79398841, 22003309, 93005641, 82335259, 37634227, 60710933, 66111709, 43550371, 98112439}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{81115667, 62289863, 62952007, 61411853, 36811363, 50021707, 24959579, 76935689, 73144769, 48787969, 37730933, 21084689, 61745161, 86643283, 37039099, 99216427, 40475849, 34952063, 83996923, 54863987, 39966931, 79482677, 27618581, 72931811, 73005901, 44412289, 24031123, 92546309, 20231017, 18239471, 66970153, 58041551, 39529319, 34364467, 42779573, 66919777, 18368851, 61174877, 65060257, 29234159, 19392679, 71988503, 82832461, 71828257, 44492857, 42344251, 58526983, 72580609, 46920751, 44576813, 19948699, 86971903, 21227447, 56025241, 44696819, 46922959, 13200679, 49736881, 45611179, 80660269, 64282633, 25469707, 46523083, 15156191, 27925529, 98124427, 84643127, 58026649, 95268463, 14932063, 52733311, 56228701, 94417459, 73500263, 81527701, 83539297, 10653197, 61535867, 59282507, 94254113, 78910589, 78211361, 77565031, 30983549, 14298883, 74357683, 20228309, 75232607, 90752923, 45830441, 35071651, 80186497, 91461169, 74594431, 70863053, 91307627, 31527149, 75514249, 67803511, 43545679, 95682661, 91799077, 41462423, 81711103, 47431127, 66079633, 20019887, 70943291, 50356249, 23899651, 46050049, 33767581, 45789607, 69956609, 38508907, 48116833, 85231903, 71441849, 68701909, 21547811, 42992153, 52103371, 87009521, 56276977, 92322287, 81894233, 47419807, 99888037, 47501563, 60474847, 16101047, 42833369, 41265281, 49602227, 30175687, 49379371, 12432757, 19779743, 47984723, 28251007, 10200887, 40572937, 48050437, 94426777, 12337987, 96436909, 56080429, 40252451, 16642069, 30938701, 15126443, 93653687, 35485133, 98275271, 12142511, 76981799, 89030509, 20724463, 50060233, 86333581, 61243907, 92704681, 83494717, 38274931, 45577793, 89250433, 33061213, 59407651, 26965973, 96644003, 45286271, 92546353, 23324309, 33619843, 49156043, 18728869, 33898363, 81825869, 65780779, 69430429, 42260441, 54855767, 13375247, 27579107, 34423681, 81217459, 28894163, 36943897, 18427417, 38388641, 14191319, 31167263, 20600269, 18157459, 55527737, 21114623, 99245899, 56765393, 43350253, 94330963}

{22863569, 85533517, 60771197, 89907427, 51274801, 36412723, 90896921, 86244863, 54734311, 82346629, 39777877, 58793821, 93161641, 39817243, 27038399, 79307233, 61525127, 64703087, 88226639, 81945463, 66310667, 26125643, 26975867, 92376199, 23052277, 71925851, 26542469, 76986737, 79249829, 18560557, 17527591, 99722171, 84786677, 84791011, 80923309, 43982423, 46914521, 36412157, 34995899, 10054859, 64871687, 33816521, 64674931, 63299377, 50359409, 72853769, 61694261, 59303329, 68006051, 50970677, 72890227, 28597867, 48526229, 46862677, 76706717, 54797131, 20392343, 55728847, 22928011, 51380233, 84375091, 84513839, 58724563, 85430123, 20677463, 38366261, 85112861, 97082371, 15983207, 40177777, 22699693, 26487607, 98368117, 40276051, 24847099, 17044091, 10501769, 47238707, 67208347, 78637907, 92385911, 63771871, 36998837, 72899291, 36223637, 57432191, 31566251, 15163117, 19796533, 72386641, 30168821, 35774897, 42318979, 50998873, 68942941, 50226809, 69642301, 10903517, 98373437, 72564691, 19369249, 75964201, 37009513, 32691151, 28447333, 74056421, 46771741, 12312031, 16843361, 82804681, 15953087, 68947267, 70311511, 15454291, 74884241, 95404481, 40262059, 88039949, 53533301, 17824159, 78708373, 53734981, 84685099, 99078943, 71310319, 38718259, 76666483, 85188091, 39598877, 47234029, 10924951, 61217851, 16007267, 71275627, 32066941, 64404533, 93742861, 58974589, 36760501, 11718029, 11677319, 47639989, 11567077, 87608957, 55059299, 78361727, 39438937, 58624057, 81684913, 37200851, 71731679, 77396797, 73476661, 75056081, 26648213, 12345803, 78854759, 37557677, 15659807, 23026337, 82797199, 78936917, 94258469, 90905149, 60368899, 21608227, 52327837, 59698187, 27916249, 89895991, 43313993, 95836319, 73401157, 34333759, 80933381, 12577673, 71410063, 18538697, 21224173, 72774421, 58909429, 66662699, 16175129, 91273057, 84795427, 40891583, 43485073, 13792417, 31803731, 58272463, 47707301, 99581719, 73868731, 46911181, 78420751, 89866379, 36751987, 12703259, 45290753, 38968253}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{30825331, 41088497, 80499337, 25050241, 62268737, 19057201, 63440171, 36343759, 75900049, 83447809, 84920711, 83115917, 93628657, 56496071, 17692817, 98627653, 88267477, 21283513, 11374817, 29123051, 52346027, 61701727, 11703911, 23179567, 96536303, 40835593, 32881619, 96792877, 56329643, 55171531, 65824567, 34833979, 85559219, 54302623, 15618641, 81841217, 44324089, 97706639, 95541371, 54820433, 79172879, 73669933, 13645847, 30745081, 25194859, 86805377, 93035863, 67583837, 91010113, 35831377, 58670207, 86580383, 84285059, 12648877, 96579673, 12754033, 76228043, 79850803, 18434861, 12302369, 49381091, 46915133, 41874739, 22544437, 90585791, 60763757, 58723793, 15786137, 93648143, 84802789, 36855713, 97137433, 95760601, 54903241, 48978239, 69161749, 77663281, 94614629, 53913221, 15616967, 57374411, 86389949, 45726313, 52008799, 71326081, 91167047, 55782539, 15040253, 35416223, 87443221, 48949447, 97613941, 65355179, 39006397, 69748519, 56467111, 13952831, 97698233, 66678527, 81493697, 48419563, 39115469, 31345789, 48354191, 66309697, 95706601, 24714731, 35062399, 54918497, 62502787, 12546253, 75340129, 24968191, 57132139, 84459377, 52378111, 73282673, 30325231, 28723447, 24775349, 67525039, 63598811, 74284193, 96076859, 86916497, 77386861, 70190633, 97122757, 87898949, 10609933, 54858367, 67079323, 98185193, 86393647, 29496029, 43893263, 52918847, 13034797, 59630243, 79908677, 58210781, 37193531, 72254449, 17082173, 20494603, 33789577, 92281711, 26600773, 21812179, 47604961, 45809377, 91948949, 83260201, 49304197, 94892537, 51643597, 48742307, 74188903, 45668677, 43476679, 59817929, 54228023, 92453503, 73522861, 46245403, 17913569, 97197797, 15395011, 65258533, 85321939, 46315943, 15496711, 48801547, 69785207, 32567519, 74274911, 43930741, 67217149, 93377903, 72363923, 54743957, 54516379, 21781393, 94243991, 17399149, 39110117, 47848907, 72196571, 86777479, 75323177, 78654221, 34498949, 40696679, 81879529, 96456211, 96597931, 66580567, 34686671, 73141181, 88669981}

{75613547, 21101273, 69486029, 89856341, 54347179, 36741599, 11813917, 44620267, 45036113, 93215051, 64846883, 84171193, 11570303, 98423261, 51005807, 10173931, 39784819, 68915347, 36814097, 33746113, 99876467, 77347099, 89991103, 47332501, 67043399, 50907397, 85273583, 87422779, 53389201, 34644671, 53846369, 24703727, 17485399, 56395583, 74837473, 58472837, 14944121, 46177489, 21074657, 61254929, 56923567, 73022527, 70519321, 60334319, 77435821, 51759527, 82673599, 78655061, 23299811, 66371957, 78769693, 95244637, 84306659, 49336477, 27916139, 45370049, 46298081, 80303371, 12211519, 94969649, 89403373, 42694637, 16308317, 94260431, 19695887, 49546027, 47742259, 43517737, 18504677, 90239983, 57167027, 74234227, 77021393, 74104949, 27629671, 90507427, 77554601, 20834063, 77398063, 44837171, 36785039, 17892967, 62017237, 39655081, 98568011, 69338653, 88317389, 22131199, 30491347, 45569549, 27094843, 27653573, 92237347, 20834899, 15838213, 88884839, 14229511, 50019667, 49792487, 10007741, 72764171, 65612273, 44532361, 57853021, 97433597, 17038613, 93331339, 81372517, 35293883, 86363509, 20574179, 16550801, 73075001, 52369249, 39273989, 94503589, 83352011, 96494477, 70042013, 86620717, 80875169, 52941989, 90574193, 90949499, 58682159, 89791879, 53132741, 55837823, 54346709, 72474917, 23437907, 89880671, 89107531, 87547963, 71649329, 88677373, 99852127, 88896589, 99515627, 46946941, 57612809, 90188143, 95457031, 60386527, 77501341, 36112273, 61935337, 90475457, 73584229, 41899387, 83407897, 60074809, 95376907, 43421269, 30116389, 23635363, 50035681, 22376353, 82033561, 27165349, 68668309, 22745291, 72097099, 74478737, 22476793, 53348657, 69782389, 80488181, 55168439, 30351977, 98711909, 56375993, 80296201, 55781483, 74640649, 53446669, 29553131, 97849849, 41429491, 11055311, 50541467, 22468829, 60409897, 47637641, 49087183, 24639107, 45010529, 57984293, 13597679, 20262443, 50070169, 84004631, 93670243, 95396297, 54608629, 21784883, 21699071, 79467419, 89941211, 50754323}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{10617949, 66496873, 64627169, 67939181, 14232089, 32836759, 55250471, 37390763, 22732001, 52752233, 35790439, 92433457, 62080217, 43552633, 78141853, 18645139, 52111757, 88956073, 46243481, 91748417, 32367883, 65010241, 44424019, 98308307, 74969137, 68390137, 92821427, 36226777, 49465981, 82955371, 65066893, 38021213, 38468803, 57385973, 16469491, 88865107, 35527819, 49174991, 79340423, 30554647, 60025111, 88262221, 51935927, 10564637, 57159737, 52307641, 76236779, 93771481, 40169027, 52712299, 62133893, 18239737, 27633401, 92057929, 36897779, 23754053, 74179139, 72664547, 58281941, 50903617, 57205657, 92029043, 17913659, 71278211, 37758283, 27301823, 89014339, 21444161, 25494533, 45528673, 57398009, 72898439, 94536947, 21148427, 20858027, 30961283, 89366267, 95294363, 10699133, 17621293, 52657427, 91644871, 32504851, 50164097, 77995289, 33439303, 78885341, 29961539, 15370723, 57418453, 65937763, 26447363, 33922387, 24177221, 79890809, 64489471, 89336369, 66809737, 30653881, 93179689, 66441413, 97795501, 85910101, 50270113, 30764497, 78895721, 80108531, 44376187, 79216411, 11604589, 23115149, 84507967, 84305747, 55881269, 61074581, 76325687, 37377499, 96724451, 32826197, 46003847, 17941009, 43418161, 52734463, 64158893, 70032343, 23642557, 94108853, 57481483, 21755843, 24956927, 25392791, 33344569, 67022629, 68930657, 99728491, 17296451, 63008683, 66574181, 61701613, 71084813, 28858387, 47560529, 25220929, 32354129, 42034549, 72527821, 71428417, 43258871, 88866587, 92165179, 50403781, 97192133, 51601327, 52646717, 26845121, 68533249, 12281323, 91638829, 44621839, 56100439, 94586251, 67747109, 27700979, 36431033, 46482559, 35854981, 59250601, 64094651, 28263491, 78199321, 63918133, 53597581, 86381333, 54914263, 31148701, 40707223, 33072047, 52988027, 73115681, 59759797, 40713773, 11080007, 51067151, 34499713, 15055099, 77938841, 82514933, 66949063, 39124121, 31723499, 26607799, 48391037, 34355539, 94497553, 15314239, 20586767, 13327739, 69084083, 47608819, 87047813}

{28416217, 19135111, 10622201, 51745021, 43883089, 52753163, 58450937, 87951131, 20418311, 79426019, 49473143, 94385671, 88132153, 97146209, 32781533, 78839623, 75991133, 78310027, 27356191, 21330271, 25124831, 48706421, 94468013, 28223059, 51121591, 71868991, 60986477, 25391363, 71277001, 89224403, 92567407, 18864737, 88166069, 76375097, 49401013, 10425929, 24489097, 41146397, 18209341, 54679447, 90684991, 23441069, 25208233, 62791129, 83596199, 83912449, 51539183, 75918847, 21818801, 17797757, 12991423, 58794289, 28259681, 98655983, 23165699, 88856237, 72409859, 27252481, 73298843, 17280589, 64624753, 95282989, 55140461, 48651527, 85647743, 91918279, 35956183, 77279927, 73691099, 23660779, 30336289, 32528557, 46131493, 52983547, 62945279, 38784943, 83802149, 67243661, 66662327, 38513921, 96343043, 13075663, 13861087, 19392829, 87749281, 36180589, 98331617, 43135487, 41686657, 26435909, 79958107, 55563283, 22096819, 34680319, 92980369, 94287379, 56344787, 82750933, 18649207, 69525647, 87566159, 16623623, 27906899, 91925429, 10131697, 88411429, 65997703, 15466501, 29640049, 29514181, 66275471, 13415891, 51695887, 16151923, 49285501, 89310043, 43782913, 84446767, 47120239, 54592319, 86404517, 58166551, 49054169, 93686539, 35825623, 84388433, 99576593, 47971901, 74915749, 73875407, 61888973, 24028073, 91001437, 91701769, 76383077, 17694497, 21742027, 77307379, 92595973, 93600917, 55329683, 83637583, 66452387, 37477039, 18718759, 28576267, 97852123, 10406723, 73554773, 88598333, 69329929, 74925203, 33780919, 74829793, 85386601, 46455977, 77586559, 27624577, 24546913, 78404021, 29701967, 35992703, 13030651, 77203661, 89703527, 88982461, 94115183, 13015501, 78320201, 45844111, 17929999, 66449809, 45534283, 92484181, 13175377, 26095919, 10666379, 22120061, 50600507, 21022741, 87492499, 61237801, 35202469, 70638401, 73743539, 39257759, 32423297, 38829599, 23281157, 61459031, 63680117, 21041747, 62764279, 99523891, 54416017, 17155973, 21714401, 54706999, 95568623, 23482553}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{69392243, 53592569, 58626431, 52354277, 35769263, 21971063, 70248487, 96173681, 55085441, 96125681, 16206433, 38529091, 89700937, 96080489, 64494761, 52064393, 19371151, 48257563, 80257453, 58830271, 38335769, 61313507, 64102271, 66467851, 19178897, 42305489, 70434041, 65770459, 41897279, 59304991, 45590183, 94492633, 40693907, 86228291, 97239907, 59657737, 48281287, 66638729, 40829377, 55036297, 88583353, 37237757, 32011489, 50680537, 27361643, 94811477, 44949011, 50856919, 32825803, 29984761, 15205121, 87758537, 34011071, 89509711, 49873303, 78395039, 95823521, 29527483, 12653153, 24507293, 14562991, 25527289, 10140311, 88870921, 36245731, 84867031, 31140049, 87761347, 89155909, 84063197, 83715503, 10788997, 70453997, 68418967, 32835889, 64464703, 64168331, 19394047, 19897699, 28509889, 48461417, 49832929, 47366983, 28345829, 76647853, 98869753, 36651529, 40845517, 60069029, 42335399, 55149617, 23271349, 49908799, 45793721, 93285461, 38572691, 40333963, 74360233, 79472989, 47153221, 67605037, 78697067, 45857183, 34599767, 51826039, 22736033, 37300297, 20364767, 30776833, 11314283, 84156323, 27687719, 81439889, 65460209, 57337717, 79254743, 51040931, 52423939, 10909231, 56567263, 18188879, 52270373, 37811903, 86460433, 51497867, 45050903, 58456309, 22982117, 27924121, 62965849, 24411701, 33506549, 62398631, 26066077, 56555417, 77810543, 75281053, 42601367, 25771877, 95885557, 47976811, 96826559, 36185921, 10586447, 59964691, 62670917, 37597471, 13723687, 65708333, 86341007, 34687777, 20376439, 26591011, 45882341, 44522837, 13445233, 15155323, 52663657, 50219333, 58071059, 48016127, 18427399, 70534993, 69430259, 73240061, 82167551, 51481519, 40746689, 78100133, 14220127, 51093137, 38463697, 47745791, 59697073, 67102969, 31977409, 92900947, 24612521, 84656591, 61834819, 12960973, 88951417, 38495101, 85710659, 10470689, 62118361, 68105767, 69792061, 45265007, 37421893, 11624017, 50846387, 32734271, 28612019, 22729481, 98409343, 57210397, 12507709, 47963869, 65650289}

{65180743, 22719629, 22025371, 89768737, 45174401, 23669533, 31317197, 96603341, 90684383, 60895759, 17060437, 79576271, 99830147, 37761391, 83157499, 34804999, 67100713, 68843629, 92834933, 77119477, 41531531, 69794393, 57590861, 20770349, 62685703, 25592509, 72382819, 60345179, 61942183, 98679143, 72879113, 55680463, 42975773, 82254127, 16272631, 96777383, 82648711, 73856297, 34054847, 21157919, 89407537, 29375369, 64182791, 35106899, 71468681, 34055389, 89316439, 77351929, 37649789, 90961193, 50627627, 53934059, 54690089, 66186257, 44911487, 10140797, 76794163, 28104463, 41273711, 30167777, 19737413, 49890917, 37368473, 93875753, 79628177, 41809721, 42405107, 56197171, 77346713, 10647047, 32686271, 79581137, 91102139, 73411567, 84254747, 98864599, 81339149, 64325383, 68347663, 46763029, 14594927, 71004203, 38103677, 98130827, 13715407, 60625459, 68774369, 68256043, 11399363, 53972731, 99110117, 20892871, 33044183, 30672377, 65529073, 42021517, 80174663, 48950549, 94384333, 56462057, 16815079, 65417203, 80854751, 67317923, 68337169, 99423809, 36487301, 78924133, 56939299, 24520637, 11126477, 25393609, 93679087, 61175407, 74069341, 26219759, 58258573, 88991713, 78679387, 52827883, 40099669, 46031309, 33452933, 59724103, 57208787, 36302221, 33851137, 11612597, 79623497, 46211063, 13761697, 66546373, 77535973, 33374267, 43536599, 35378821, 31012193, 74280863, 29765717, 68447383, 41118293, 98833013, 20071199, 25386563, 33575671, 45175687, 87990361, 61186663, 90697493, 83941621, 34288889, 71032607, 24073373, 43021387, 12946319, 84443861, 69709183, 41697329, 23685997, 71663629, 22248727, 46821287, 82441441, 98208083, 56067563, 68998669, 62799353, 69299221, 47877413, 84064741, 77520929, 56709791, 82961693, 59314153, 19453211, 76609927, 11965087, 63580009, 85390433, 28350269, 15363581, 54726151, 91021201, 77809643, 90446617, 51610297, 92644157, 77344697, 91304539, 14315737, 30637531, 94746317, 66562591, 78333503, 51366181, 86258311, 56650067, 87656929, 88536563, 19091227}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{48534511, 31501879, 51657629, 55853323, 53802521, 32973533, 76607519, 21016997, 13533259, 79665151, 52789211, 42913513, 96588139, 59401159, 95702029, 24792043, 76442029, 23733041, 11557591, 48349237, 26402351, 72626857, 19277963, 95916853, 86209577, 11064959, 84779509, 12950083, 50980129, 56826659, 49814393, 52540793, 81368407, 77729161, 10049713, 10442891, 60696451, 81540149, 28324259, 54339049, 84187409, 76010059, 60915353, 81529061, 13534699, 81748421, 42718681, 12989803, 94367033, 68761261, 38670041, 50815607, 73388533, 93273683, 71637767, 38503819, 64756591, 56275231, 86098189, 31118863, 38704441, 14964017, 39603671, 58741933, 29331583, 89678371, 28910927, 81342869, 96284557, 26907151, 53434097, 55158989, 63067577, 67391953, 42301631, 70292291, 34122887, 76569029, 24362269, 60394889, 26055053, 34750301, 83162203, 70230427, 22680991, 18611711, 16222373, 18096961, 68470999, 50444851, 97679479, 75688307, 58417897, 28165861, 80528369, 79775681, 31274521, 74323663, 83756077, 55162139, 95312677, 95877349, 30166967, 41852221, 50613217, 32642279, 97674529, 12487973, 52982029, 91919573, 41389081, 62570881, 78387457, 11078251, 44043269, 60219179, 22374223, 12773413, 31070003, 94954669, 90559873, 83057659, 88810529, 75225511, 77498803, 98873659, 39813931, 75091747, 91165037, 13426373, 33538741, 36425327, 81862159, 51050719, 16272343, 47466973, 35221999, 25461649, 78035149, 88670971, 29726447, 66990263, 49383743, 40801633, 20389631, 37755007, 39632447, 22845863, 36037979, 87617279, 72520367, 11539247, 28217701, 54253907, 79824229, 84578833, 92315507, 32060111, 55962133, 44155619, 39759683, 42831127, 69989377, 24371213, 83122099, 40940183, 10159703, 26080009, 30846181, 56257273, 45843241, 72909349, 24903583, 41739629, 31132303, 70304281, 82132159, 94891007, 32013479, 21199733, 83089873, 62949989, 27028103, 42058921, 52377151, 81777389, 62275883, 59287757, 52021583, 21444187, 11702777, 98674837, 88413131, 67371137, 42937339, 88425017, 33368627, 40559989, 62925349, 31381841}

{89567563, 18312809, 93116483, 58249727, 85141211, 55594249, 75364613, 11182559, 40172549, 86892739, 47605307, 12243323, 45631837, 15516689, 86792423, 44413169, 47043517, 89780513, 70702547, 55519591, 72808079, 94574677, 84745523, 22939097, 45215477, 39527161, 44073737, 50821451, 62658551, 17543257, 42481633, 87877513, 37182527, 52503931, 87656431, 86926871, 73123727, 70830853, 47031931, 75227921, 25792103, 38899717, 79315811, 73401431, 39008657, 53672329, 96040397, 25101151, 50509259, 63539713, 39029189, 60589363, 33141929, 93378601, 47843413, 26397029, 16092473, 87434929, 38468449, 90073931, 73741141, 72988397, 77837659, 34268279, 89280173, 29228597, 11971679, 63130643, 44303111, 67991629, 56403329, 79794049, 13564553, 20100911, 59477731, 42232327, 75794497, 34952497, 36122057, 44378617, 20888479, 16460929, 77139841, 79487893, 88658107, 67136089, 64527677, 69907169, 76300027, 72111709, 22164983, 92776213, 52674581, 73970861, 49482371, 67199021, 15947983, 15707863, 45143531, 66816569, 64530629, 12028123, 14378291, 90353831, 84217009, 48383767, 10278551, 56163713, 91565707, 95264093, 71797331, 33858943, 37684139, 32386429, 56351639, 39570493, 56212379, 43170899, 15672091, 73127921, 27920779, 57503011, 85861439, 42211747, 67277059, 80221213, 61473239, 79473241, 76301087, 35630779, 63997441, 46607833, 10583483, 14333929, 46195991, 97587901, 31312409, 85082971, 92163107, 26147431, 87553237, 60686177, 42727361, 40906133, 15339937, 15370573, 35408831, 82761517, 64897379, 42733289, 35638693, 68836969, 27085273, 67007249, 14239007, 11222041, 22381049, 42010027, 64127647, 37084199, 43126723, 40625171, 56557421, 98118749, 13086211, 55977343, 13565789, 88991239, 41269699, 12283189, 12410227, 99717097, 96874549, 72057613, 47139439, 62096789, 14963129, 22925939, 19677169, 16382797, 23295721, 52648513, 49844419, 19291463, 90404177, 59563051, 55045777, 78458797, 62324459, 44244451, 82859549, 53409649, 62709677, 81312923, 49109707, 87432797, 22138859, 21747227, 43856479, 76859219}

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{72652729 }

{28794281 }

Returns: "1"
{99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989, 99999989 }

{99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971, 99999971 }

Returns: "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
{294001, 100003 }

{100003, 100003 }

Returns: "01"

Statistics

Problem Statement for "PrimeAlters"

Problem Statement

Definition

Notes

Constraints

Examples