Problem:


Score : 400 points

Problem Statement

A positive integer X is said to be a lunlun number if and only if the following condition is satisfied:

In the base ten representation of X (without leading zeros), for every pair of two adjacent digits, the absolute difference of those digits is at most 1.

For example, 1234, 1, and 334 are lunlun numbers, while none of 31415, 119, or 13579 is.

You are given a positive integer K. Find the K-th smallest lunlun number.

Constraints

1 \leq K \leq 10^5

All values in input are integers.

Input

Input is given from Standard Input in the following format:

K

Output

Print the answer.

Sample Input 1

15

Sample Output 1

23

We will list the 15 smallest lunlun numbers in ascending order:

1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
21,
22,
23.

Thus, the answer is 23.

Sample Input 2

1

Sample Output 2

1

Sample Input 3

13

Sample Output 3

21

Sample Input 4

100000

Sample Output 4

3234566667

Note that the answer may not fit into the 32-bit signed integer type.



Sample input:
15


Sample output:
23

Submission status: Time Limit Exceeded

Solution code:
d={0: 0, 10: 10, 20: 44, 30: 78, 40: 112, 50: 232, 60: 344, 70: 456, 80: 654, 90: 766, 100: 878, 110: 999, 120: 1112, 130: 1232, 140: 2123, 150: 2321, 160: 3211, 170: 3323, 180: 3443, 190: 4333, 200: 4445, 210: 4565, 220: 5455, 230: 5567, 240: 6543, 250: 6655, 260: 6767, 270: 7665, 280: 7777, 290: 7889, 300: 8788, 310: 8987, 320: 9889, 330: 10010, 340: 10123, 350: 11112, 360: 11232, 370: 12123, 380: 12321, 390: 21001, 400: 21122, 410: 21234, 420: 22211, 430: 22323, 440: 23221, 450: 23333, 460: 23445, 470: 32122, 480: 32234, 490: 33210, 500: 33322, 510: 33434, 520: 34332, 530: 34444, 540: 34556, 550: 43232, 560: 43344, 570: 43456, 580: 44432, 590: 44544, 600: 45434, 610: 45554, 620: 45666, 630: 54334, 640: 54454, 650: 54566, 660: 55456, 670: 55654, 680: 56544, 690: 56656, 700: 56776, 710: 65444, 720: 65556, 730: 65676, 740: 66566, 750: 66678, 760: 67654, 770: 67766, 780: 67878, 790: 76555, 800: 76667, 810: 76787, 820: 77677, 830: 77789, 840: 78766, 850: 78878, 860: 78999, 870: 87765, 880: 87877, 890: 88776, 900: 88888, 910: 89877, 920: 89998, 930: 98789, 940: 98988, 950: 99898, 960: 100011, 970: 101000, 980: 101121, 990: 101233, 1000: 110111, 1010: 111100, 1020: 111212, 1030: 112111, 1040: 112223, 1050: 112343, 1060: 121110, 1070: 121222, 1080: 122121, 1090: 122233, 1100: 122345, 1110: 123321, 1120: 123433, 1130: 210010, 1140: 210123, 1150: 211112, 1160: 211232, 1170: 212123, 1180: 212321, 1190: 221001, 1200: 221122, 1210: 221234, 1220: 222211, 1230: 222323, 1240: 223221, 1250: 223333, 1260: 223445, 1270: 232122, 1280: 232234, 1290: 233210, 1300: 233322, 1310: 233434, 1320: 234332, 1330: 234444, 1340: 234556, 1350: 321101, 1360: 321221, 1370: 322112, 1380: 322232, 1390: 322344, 1400: 323234, 1410: 323432, 1420: 332101, 1430: 332221, 1440: 332333, 1450: 333223, 1460: 333343, 1470: 333455, 1480: 334345, 1490: 334543, 1500: 343211, 1510: 343323, 1520: 343443, 1530: 344333, 1540: 344445, 1550: 344565, 1560: 345455, 1570: 345567, 1580: 432100, 1590: 432212, 1600: 432332, 1610: 433222, 1620: 433334, 1630: 433454, 1640: 434344, 1650: 434456, 1660: 443210, 1670: 443322, 1680: 443434, 1690: 444332, 1700: 444444, 1710: 444556, 1720: 445454, 1730: 445566, 1740: 445678, 1750: 454432, 1760: 454544, 1770: 455434, 1780: 455554, 1790: 455666, 1800: 456556, 1810: 456676, 1820: 456788, 1830: 543234, 1840: 543432, 1850: 544322, 1860: 544434, 1870: 544554, 1880: 545444, 1890: 545556, 1900: 545676, 1910: 554344, 1920: 554456, 1930: 555432, 1940: 555544, 1950: 555656, 1960: 556554, 1970: 556666, 1980: 556778, 1990: 565454, 2000: 565566, 2010: 565678, 2020: 566654, 2030: 566766, 2040: 567656, 2050: 567776, 2060: 567888, 2070: 654343, 2080: 654455, 2090: 654567, 2100: 655543, 2110: 655655, 2120: 656545, 2130: 656665, 2140: 656777, 2150: 665445, 2160: 665565, 2170: 665677, 2180: 666567, 2190: 666765, 2200: 667655, 2210: 667767, 2220: 667887, 2230: 676556, 2240: 676676, 2250: 676788, 2260: 677678, 2270: 677876, 2280: 678767, 2290: 678887, 2300: 765432, 2310: 765544, 2320: 765656, 2330: 766554, 2340: 766666, 2350: 766778, 2360: 767676, 2370: 767788, 2380: 776543, 2390: 776655, 2400: 776767, 2410: 777665, 2420: 777777, 2430: 777889, 2440: 778788, 2450: 778987, 2460: 787667, 2470: 787787, 2480: 787899, 2490: 788876, 2500: 788989, 2510: 789899, 2520: 876555, 2530: 876667, 2540: 876787, 2550: 877677, 2560: 877789, 2570: 878766, 2580: 878878, 2590: 878999, 2600: 887765, 2610: 887877, 2620: 888776, 2630: 888888, 2640: 889877, 2650: 889998, 2660: 898789, 2670: 898988, 2680: 899898, 2690: 987665, 2700: 987777, 2710: 987889, 2720: 988788, 2730: 988987, 2740: 989889, 2750: 998767, 2760: 998887, 2770: 999876, 2780: 999989, 2790: 1000110, 2800: 1001012, 2810: 1001211, 2820: 1010010, 2830: 1010123, 2840: 1011112, 2850: 1011232, 2860: 1012123, 2870: 1012321, 2880: 1100001, 2890: 1100122, 2900: 1101111, 2910: 1101223, 2920: 1110101, 2930: 1111011, 2940: 1111210, 2950: 1112101, 2960: 1112221, 2970: 1112333, 2980: 1121100, 2990: 1121212, 3000: 1122111, 3010: 1122223, 3020: 1122343, 3030: 1123233, 3040: 1123345, 3050: 1210000, 3060: 1210121, 3070: 1211110, 3080: 1211222, 3090: 1212121, 3100: 1212233, 3110: 1212345, 3120: 1221112, 3130: 1221232, 3140: 1222123, 3150: 1222321, 3160: 1223211, 3170: 1223323, 3180: 1223443, 3190: 1232112, 3200: 1232232, 3210: 1232344, 3220: 1233234, 3230: 1233432, 3240: 1234322, 3250: 1234434, 3260: 1234554, 3270: 2100012, 3280: 2101001, 3290: 2101122, 3300: 2101234, 3310: 2110112, 3320: 2111101, 3330: 2111221, 3340: 2112112, 3350: 2112232, 3360: 2112344, 3370: 2121111, 3380: 2121223, 3390: 2122122, 3400: 2122234, 3410: 2123210, 3420: 2123322, 3430: 2123434, 3440: 2210011, 3450: 2211000, 3460: 2211121, 3470: 2211233, 3480: 2212210, 3490: 2212322, 3500: 2221010, 3510: 2221123, 3520: 2222100, 3530: 2222212, 3540: 2222332, 3550: 2223222, 3560: 2223334, 3570: 2223454, 3580: 2232123, 3590: 2232321, 3600: 2233211, 3610: 2233323, 3620: 2233443, 3630: 2234333, 3640: 2234445, 3650: 2234565, 3660: 2321110, 3670: 2321222, 3680: 2322121, 3690: 2322233, 3700: 2322345, 3710: 2323321, 3720: 2323433, 3730: 2332110, 3740: 2332222, 3750: 2332334, 3760: 2333232, 3770: 2333344, 3780: 2333456, 3790: 2334432, 3800: 2334544, 3810: 2343212, 3820: 2343332, 3830: 2343444, 3840: 2344334, 3850: 2344454, 3860: 2344566, 3870: 2345456, 3880: 2345654, 3890: 3210001, 3900: 3210122, 3910: 3211111, 3920: 3211223, 3930: 3212122, 3940: 3212234, 3950: 3221000, 3960: 3221121, 3970: 3221233, 3980: 3222210, 3990: 3222322, 4000: 3223212, 4010: 3223332, 4020: 3223444, 4030: 3232121, 4040: 3232233, 4050: 3232345, 4060: 3233321, 4070: 3233433, 4080: 3234323, 4090: 3234443, 4100: 3234555, 4110: 3321100, 4120: 3321212, 4130: 3322111, 4140: 3322223, 4150: 3322343, 4160: 3323233, 4170: 3323345, 4180: 3332100, 4190: 3332212, 4200: 3332332, 4210: 3333222, 4220: 3333334, 4230: 3333454, 4240: 3334344, 4250: 3334456, 4260: 3343210, 4270: 3343322, 4280: 3343434, 4290: 3344332, 4300: 3344444, 4310: 3344556, 4320: 3345454, 4330: 3345566, 4340: 3345678, 4350: 3432211, 4360: 3432323, 4370: 3433221, 4380: 3433333, 4390: 3433445, 4400: 3434343, 4410: 3434455, 4420: 3434567, 4430: 3443321, 4440: 3443433, 4450: 3444323, 4460: 3444443, 4470: 3444555, 4480: 3445445, 4490: 3445565, 4500: 3445677, 4510: 3454345, 4520: 3454543, 4530: 3455433, 4540: 3455545, 4550: 3455665, 4560: 3456555, 4570: 3456667, 4580: 3456787, 4590: 4321110, 4600: 4321222, 4610: 4322121, 4620: 4322233, 4630: 4322345, 4640: 4323321, 4650: 4323433, 4660: 4332110, 4670: 4332222, 4680: 4332334, 4690: 4333232, 4700: 4333344, 4710: 4333456, 4720: 4334432, 4730: 4334544, 4740: 4343212, 4750: 4343332, 4760: 4343444, 4770: 4344334, 4780: 4344454, 4790: 4344566, 4800: 4345456, 4810: 4345654, 4820: 4432101, 4830: 4432221, 4840: 4432333, 4850: 4433223, 4860: 4433343, 4870: 4433455, 4880: 4434345, 4890: 4434543, 4900: 4443211, 4910: 4443323, 4920: 4443443, 4930: 4444333, 4940: 4444445, 4950: 4444565, 4960: 4445455, 4970: 4445567, 4980: 4454321, 4990: 4454433, 5000: 4454545, 5010: 4455443, 5020: 4455555, 5030: 4455667, 5040: 4456565, 5050: 4456677, 5060: 4456789, 5070: 4543321, 5080: 4543433, 5090: 4544323, 5100: 4544443, 5110: 4544555, 5120: 4545445, 5130: 4545565, 5140: 4545677, 5150: 4554345, 5160: 4554543, 5170: 4555433, 5180: 4555545, 5190: 4555665, 5200: 4556555, 5210: 4556667, 5220: 4556787, 5230: 4565455, 5240: 4565567, 5250: 4566543, 5260: 4566655, 5270: 4566767, 5280: 4567665, 5290: 4567777, 5300: 4567889, 5310: 5432123, 5320: 5432321, 5330: 5433211, 5340: 5433323, 5350: 5433443, 5360: 5434333, 5370: 5434445, 5380: 5434565, 5390: 5443233, 5400: 5443345, 5410: 5444321, 5420: 5444433, 5430: 5444545, 5440: 5445443, 5450: 5445555, 5460: 5445667, 5470: 5454343, 5480: 5454455, 5490: 5454567, 5500: 5455543, 5510: 5455655, 5520: 5456545, 5530: 5456665, 5540: 5456777, 5550: 5543223, 5560: 5543343, 5570: 5543455, 5580: 5544345, 5590: 5544543, 5600: 5545433, 5610: 5545545, 5620: 5545665, 5630: 5554333, 5640: 5554445, 5650: 5554565, 5660: 5555455, 5670: 5555567, 5680: 5556543, 5690: 5556655, 5700: 5556767, 5710: 5565443, 5720: 5565555, 5730: 5565667, 5740: 5566565, 5750: 5566677, 5760: 5566789, 5770: 5567765, 5780: 5567877, 5790: 5654332, 5800: 5654444, 5810: 5654556, 5820: 5655454, 5830: 5655566, 5840: 5655678, 5850: 5656654, 5860: 5656766, 5870: 5665434, 5880: 5665554, 5890: 5665666, 5900: 5666556, 5910: 5666676, 5920: 5666788, 5930: 5667678, 5940: 5667876, 5950: 5676545, 5960: 5676665, 5970: 5676777, 5980: 5677667, 5990: 5677787, 6000: 5677899, 6010: 5678876, 6020: 5678989, 6030: 6543233, 6040: 6543345, 6050: 6544321, 6060: 6544433, 6070: 6544545, 6080: 6545443, 6090: 6545555, 6100: 6545667, 6110: 6554343, 6120: 6554455, 6130: 6554567, 6140: 6555543, 6150: 6555655, 6160: 6556545, 6170: 6556665, 6180: 6556777, 6190: 6565445, 6200: 6565565, 6210: 6565677, 6220: 6566567, 6230: 6566765, 6240: 6567655, 6250: 6567767, 6260: 6567887, 6270: 6654334, 6280: 6654454, 6290: 6654566, 6300: 6655456, 6310: 6655654, 6320: 6656544, 6330: 6656656, 6340: 6656776, 6350: 6665444, 6360: 6665556, 6370: 6665676, 6380: 6666566, 6390: 6666678, 6400: 6667654, 6410: 6667766, 6420: 6667878, 6430: 6676555, 6440: 6676667, 6450: 6676787, 6460: 6677677, 6470: 6677789, 6480: 6678766, 6490: 6678878, 6500: 6678999, 6510: 6765543, 6520: 6765655, 6530: 6766545, 6540: 6766665, 6550: 6766777, 6560: 6767667, 6570: 6767787, 6580: 6767899, 6590: 6776654, 6600: 6776766, 6610: 6777656, 6620: 6777776, 6630: 6777888, 6640: 6778787, 6650: 6778899, 6660: 6787666, 6670: 6787778, 6680: 6787898, 6690: 6788789, 6700: 6788988, 6710: 6789898, 6720: 7654332, 6730: 7654444, 6740: 7654556, 6750: 7655454, 6760: 7655566, 6770: 7655678, 6780: 7656654, 6790: 7656766, 6800: 7665434, 6810: 7665554, 6820: 7665666, 6830: 7666556, 6840: 7666676, 6850: 7666788, 6860: 7667678, 6870: 7667876, 6880: 7676545, 6890: 7676665, 6900: 7676777, 6910: 7677667, 6920: 7677787, 6930: 7677899, 6940: 7678876, 6950: 7678989, 6960: 7765455, 6970: 7765567, 6980: 7766543, 6990: 7766655, 7000: 7766767, 7010: 7767665, 7020: 7767777, 7030: 7767889, 7040: 7776566, 7050: 7776678, 7060: 7777654, 7070: 7777766, 7080: 7777878, 7090: 7778777, 7100: 7778889, 7110: 7787656, 7120: 7787776, 7130: 7787888, 7140: 7788787, 7150: 7788899, 7160: 7789888, 7170: 7876544, 7180: 7876656, 7190: 7876776, 7200: 7877666, 7210: 7877778, 7220: 7877898, 7230: 7878789, 7240: 7878988, 7250: 7887676, 7260: 7887788, 7270: 7888765, 7280: 7888877, 7290: 7888998, 7300: 7889987, 7310: 7898778, 7320: 7898898, 7330: 7899887, 7340: 8765432, 7350: 8765544, 7360: 8765656, 7370: 8766554, 7380: 8766666, 7390: 8766778, 7400: 8767676, 7410: 8767788, 7420: 8776543, 7430: 8776655, 7440: 8776767, 7450: 8777665, 7460: 8777777, 7470: 8777889, 7480: 8778788, 7490: 8778987, 7500: 8787667, 7510: 8787787, 7520: 8787899, 7530: 8788876, 7540: 8788989, 7550: 8789899, 7560: 8876555, 7570: 8876667, 7580: 8876787, 7590: 8877677, 7600: 8877789, 7610: 8878766, 7620: 8878878, 7630: 8878999, 7640: 8887765, 7650: 8887877, 7660: 8888776, 7670: 8888888, 7680: 8889877, 7690: 8889998, 7700: 8898789, 7710: 8898988, 7720: 8899898, 7730: 8987665, 7740: 8987777, 7750: 8987889, 7760: 8988788, 7770: 8988987, 7780: 8989889, 7790: 8998767, 7800: 8998887, 7810: 8999876, 7820: 8999989, 7830: 9876566, 7840: 9876678, 7850: 9877654, 7860: 9877766, 7870: 9877878, 7880: 9878777, 7890: 9878889, 7900: 9887656, 7910: 9887776, 7920: 9887888, 7930: 9888787, 7940: 9888899, 7950: 9889888, 7960: 9898766, 7970: 9898878, 7980: 9898999, 7990: 9899988, 8000: 9987676, 8010: 9987788, 8020: 9988765, 8030: 9988877, 8040: 9988998, 8050: 9989987, 8060: 9998778, 8070: 9998898, 8080: 9999887, 8090: 10000000, 8100: 10000121, 8110: 10001110, 8120: 10001222, 8130: 10010100, 8140: 10011010, 8150: 10011123, 8160: 10012100, 8170: 10012212, 8180: 10012332, 8190: 10100012, 8200: 10101001, 8210: 10101122, 8220: 10101234, 8230: 10110112, 8240: 10111101, 8250: 10111221, 8260: 10112112, 8270: 10112232, 8280: 10112344, 8290: 10121111, 8300: 10121223, 8310: 10122122, 8320: 10122234, 8330: 10123210, 8340: 10123322, 8350: 10123434, 8360: 11000011, 8370: 11001000, 8380: 11001121, 8390: 11001233, 8400: 11010111, 8410: 11011100, 8420: 11011212, 8430: 11012111, 8440: 11012223, 8450: 11012343, 8460: 11100110, 8470: 11101012, 8480: 11101211, 8490: 11110010, 8500: 11110123, 8510: 11111112, 8520: 11111232, 8530: 11112123, 8540: 11112321, 8550: 11121001, 8560: 11121122, 8570: 11121234, 8580: 11122211, 8590: 11122323, 8600: 11123221, 8610: 11123333, 8620: 11123445, 8630: 11210101, 8640: 11211011, 8650: 11211210, 8660: 11212101, 8670: 11212221, 8680: 11212333, 8690: 11221100, 8700: 11221212, 8710: 11222111, 8720: 11222223, 8730: 11222343, 8740: 11223233, 8750: 11223345, 8760: 11232100, 8770: 11232212, 8780: 11232332, 8790: 11233222, 8800: 11233334, 8810: 11233454, 8820: 11234344, 8830: 11234456, 8840: 12100000, 8850: 12100121, 8860: 12101110, 8870: 12101222, 8880: 12110100, 8890: 12111010, 8900: 12111123, 8910: 12112100, 8920: 12112212, 8930: 12112332, 8940: 12121012, 8950: 12121211, 8960: 12122110, 8970: 12122222, 8980: 12122334, 8990: 12123232, 9000: 12123344, 9010: 12123456, 9020: 12210112, 9030: 12211101, 9040: 12211221, 9050: 12212112, 9060: 12212232, 9070: 12212344, 9080: 12221111, 9090: 12221223, 9100: 12222122, 9110: 12222234, 9120: 12223210, 9130: 12223322, 9140: 12223434, 9150: 12232111, 9160: 12232223, 9170: 12232343, 9180: 12233233, 9190: 12233345, 9200: 12234321, 9210: 12234433, 9220: 12234545, 9230: 12321011, 9240: 12321210, 9250: 12322101, 9260: 12322221, 9270: 12322333, 9280: 12323223, 9290: 12323343, 9300: 12323455, 9310: 12332210, 9320: 12332322, 9330: 12333212, 9340: 12333332, 9350: 12333444, 9360: 12334334, 9370: 12334454, 9380: 12334566, 9390: 12343234, 9400: 12343432, 9410: 12344322, 9420: 12344434, 9430: 12344554, 9440: 12345444, 9450: 12345556, 9460: 12345676, 9470: 21000110, 9480: 21001012, 9490: 21001211, 9500: 21010010, 9510: 21010123, 9520: 21011112, 9530: 21011232, 9540: 21012123, 9550: 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96390: 3221112334, 96400: 3221121101, 96410: 3221121221, 96420: 3221122112, 96430: 3221122232, 96440: 3221122344, 96450: 3221123234, 96460: 3221123432, 96470: 3221210001, 96480: 3221210122, 96490: 3221211111, 96500: 3221211223, 96510: 3221212122, 96520: 3221212234, 96530: 3221221000, 96540: 3221221121, 96550: 3221221233, 96560: 3221222210, 96570: 3221222322, 96580: 3221223212, 96590: 3221223332, 96600: 3221223444, 96610: 3221232121, 96620: 3221232233, 96630: 3221232345, 96640: 3221233321, 96650: 3221233433, 96660: 3221234323, 96670: 3221234443, 96680: 3221234555, 96690: 3222100100, 96700: 3222101010, 96710: 3222101123, 96720: 3222110000, 96730: 3222110121, 96740: 3222111110, 96750: 3222111222, 96760: 3222112121, 96770: 3222112233, 96780: 3222112345, 96790: 3222121112, 96800: 3222121232, 96810: 3222122123, 96820: 3222122321, 96830: 3222123211, 96840: 3222123323, 96850: 3222123443, 96860: 3222210012, 96870: 3222211001, 96880: 3222211122, 96890: 3222211234, 96900: 3222212211, 96910: 3222212323, 96920: 3222221011, 96930: 3222221210, 96940: 3222222101, 96950: 3222222221, 96960: 3222222333, 96970: 3222223223, 96980: 3222223343, 96990: 3222223455, 97000: 3222232210, 97010: 3222232322, 97020: 3222233212, 97030: 3222233332, 97040: 3222233444, 97050: 3222234334, 97060: 3222234454, 97070: 3222234566, 97080: 3222321111, 97090: 3222321223, 97100: 3222322122, 97110: 3222322234, 97120: 3222323210, 97130: 3222323322, 97140: 3222323434, 97150: 3222332111, 97160: 3222332223, 97170: 3222332343, 97180: 3222333233, 97190: 3222333345, 97200: 3222334321, 97210: 3222334433, 97220: 3222334545, 97230: 3222343221, 97240: 3222343333, 97250: 3222343445, 97260: 3222344343, 97270: 3222344455, 97280: 3222344567, 97290: 3222345543, 97300: 3222345655, 97310: 3223210010, 97320: 3223210123, 97330: 3223211112, 97340: 3223211232, 97350: 3223212123, 97360: 3223212321, 97370: 3223221001, 97380: 3223221122, 97390: 3223221234, 97400: 3223222211, 97410: 3223222323, 97420: 3223223221, 97430: 3223223333, 97440: 3223223445, 97450: 3223232122, 97460: 3223232234, 97470: 3223233210, 97480: 3223233322, 97490: 3223233434, 97500: 3223234332, 97510: 3223234444, 97520: 3223234556, 97530: 3223321101, 97540: 3223321221, 97550: 3223322112, 97560: 3223322232, 97570: 3223322344, 97580: 3223323234, 97590: 3223323432, 97600: 3223332101, 97610: 3223332221, 97620: 3223332333, 97630: 3223333223, 97640: 3223333343, 97650: 3223333455, 97660: 3223334345, 97670: 3223334543, 97680: 3223343211, 97690: 3223343323, 97700: 3223343443, 97710: 3223344333, 97720: 3223344445, 97730: 3223344565, 97740: 3223345455, 97750: 3223345567, 97760: 3223432100, 97770: 3223432212, 97780: 3223432332, 97790: 3223433222, 97800: 3223433334, 97810: 3223433454, 97820: 3223434344, 97830: 3223434456, 97840: 3223443210, 97850: 3223443322, 97860: 3223443434, 97870: 3223444332, 97880: 3223444444, 97890: 3223444556, 97900: 3223445454, 97910: 3223445566, 97920: 3223445678, 97930: 3223454432, 97940: 3223454544, 97950: 3223455434, 97960: 3223455554, 97970: 3223455666, 97980: 3223456556, 97990: 3223456676, 98000: 3223456788, 98010: 3232100111, 98020: 3232101100, 98030: 3232101212, 98040: 3232110011, 98050: 3232111000, 98060: 3232111121, 98070: 3232111233, 98080: 3232112210, 98090: 3232112322, 98100: 3232121010, 98110: 3232121123, 98120: 3232122100, 98130: 3232122212, 98140: 3232122332, 98150: 3232123222, 98160: 3232123334, 98170: 3232123454, 98180: 3232210110, 98190: 3232211012, 98200: 3232211211, 98210: 3232212110, 98220: 3232212222, 98230: 3232212334, 98240: 3232221101, 98250: 3232221221, 98260: 3232222112, 98270: 3232222232, 98280: 3232222344, 98290: 3232223234, 98300: 3232223432, 98310: 3232232101, 98320: 3232232221, 98330: 3232232333, 98340: 3232233223, 98350: 3232233343, 98360: 3232233455, 98370: 3232234345, 98380: 3232234543, 98390: 3232321001, 98400: 3232321122, 98410: 3232321234, 98420: 3232322211, 98430: 3232322323, 98440: 3232323221, 98450: 3232323333, 98460: 3232323445, 98470: 3232332122, 98480: 3232332234, 98490: 3232333210, 98500: 3232333322, 98510: 3232333434, 98520: 3232334332, 98530: 3232334444, 98540: 3232334556, 98550: 3232343232, 98560: 3232343344, 98570: 3232343456, 98580: 3232344432, 98590: 3232344544, 98600: 3232345434, 98610: 3232345554, 98620: 3232345666, 98630: 3233210100, 98640: 3233211010, 98650: 3233211123, 98660: 3233212100, 98670: 3233212212, 98680: 3233212332, 98690: 3233221012, 98700: 3233221211, 98710: 3233222110, 98720: 3233222222, 98730: 3233222334, 98740: 3233223232, 98750: 3233223344, 98760: 3233223456, 98770: 3233232211, 98780: 3233232323, 98790: 3233233221, 98800: 3233233333, 98810: 3233233445, 98820: 3233234343, 98830: 3233234455, 98840: 3233234567, 98850: 3233321112, 98860: 3233321232, 98870: 3233322123, 98880: 3233322321, 98890: 3233323211, 98900: 3233323323, 98910: 3233323443, 98920: 3233332112, 98930: 3233332232, 98940: 3233332344, 98950: 3233333234, 98960: 3233333432, 98970: 3233334322, 98980: 3233334434, 98990: 3233334554, 99000: 3233343222, 99010: 3233343334, 99020: 3233343454, 99030: 3233344344, 99040: 3233344456, 99050: 3233345432, 99060: 3233345544, 99070: 3233345656, 99080: 3233432111, 99090: 3233432223, 99100: 3233432343, 99110: 3233433233, 99120: 3233433345, 99130: 3233434321, 99140: 3233434433, 99150: 3233434545, 99160: 3233443221, 99170: 3233443333, 99180: 3233443445, 99190: 3233444343, 99200: 3233444455, 99210: 3233444567, 99220: 3233445543, 99230: 3233445655, 99240: 3233454323, 99250: 3233454443, 99260: 3233454555, 99270: 3233455445, 99280: 3233455565, 99290: 3233455677, 99300: 3233456567, 99310: 3233456765, 99320: 3234321001, 99330: 3234321122, 99340: 3234321234, 99350: 3234322211, 99360: 3234322323, 99370: 3234323221, 99380: 3234323333, 99390: 3234323445, 99400: 3234332122, 99410: 3234332234, 99420: 3234333210, 99430: 3234333322, 99440: 3234333434, 99450: 3234334332, 99460: 3234334444, 99470: 3234334556, 99480: 3234343232, 99490: 3234343344, 99500: 3234343456, 99510: 3234344432, 99520: 3234344544, 99530: 3234345434, 99540: 3234345554, 99550: 3234345666, 99560: 3234432121, 99570: 3234432233, 99580: 3234432345, 99590: 3234433321, 99600: 3234433433, 99610: 3234434323, 99620: 3234434443, 99630: 3234434555, 99640: 3234443223, 99650: 3234443343, 99660: 3234443455, 99670: 3234444345, 99680: 3234444543, 99690: 3234445433, 99700: 3234445545, 99710: 3234445665, 99720: 3234454333, 99730: 3234454445, 99740: 3234454565, 99750: 3234455455, 99760: 3234455567, 99770: 3234456543, 99780: 3234456655, 99790: 3234456767, 99800: 3234543221, 99810: 3234543333, 99820: 3234543445, 99830: 3234544343, 99840: 3234544455, 99850: 3234544567, 99860: 3234545543, 99870: 3234545655, 99880: 3234554323, 99890: 3234554443, 99900: 3234554555, 99910: 3234555445, 99920: 3234555565, 99930: 3234555677, 99940: 3234556567, 99950: 3234556765, 99960: 3234565433, 99970: 3234565545, 99980: 3234565665, 99990: 3234566555,100000:3234566667}

d2=[2101000111, 2101000112, 2101000121, 2101000122, 2101000123, 2101001000, 2101001001, 2101001010, 2101001011, 2101001012, 2101001100, 2101001101, 2101001110, 2101001111, 2101001112, 2101001121, 2101001122, 2101001123, 2101001210, 2101001211, 2101001212, 2101001221, 2101001222, 2101001223, 2101001232, 2101001233, 2101001234, 2101010000, 2101010001, 2101010010, 2101010011, 2101010012, 2101010100, 2101010101, 2101010110, 2101010111, 2101010112, 2101010121, 2101010122, 2101010123, 2101011000, 2101011001, 2101011010, 2101011011, 2101011012, 2101011100, 2101011101, 2101011110, 2101011111, 2101011112, 2101011121, 2101011122, 2101011123, 2101011210, 2101011211, 2101011212, 2101011221, 2101011222, 2101011223, 2101011232, 2101011233, 2101011234, 2101012100, 2101012101, 2101012110, 2101012111, 2101012112, 2101012121, 2101012122, 2101012123, 2101012210, 2101012211, 2101012212, 2101012221, 2101012222, 2101012223, 2101012232, 2101012233, 2101012234, 2101012321, 2101012322, 2101012323, 2101012332, 2101012333, 2101012334, 2101012343, 2101012344, 2101012345, 2101100000, 2101100001, 2101100010, 2101100011, 2101100012, 2101100100, 2101100101, 2101100110, 2101100111, 2101100112, 2101100121, 2101100122, 2101100123, 2101101000, 2101101001, 2101101010, 2101101011, 2101101012, 2101101100, 2101101101, 2101101110, 2101101111, 2101101112, 2101101121, 2101101122, 2101101123, 2101101210, 2101101211, 2101101212, 2101101221, 2101101222, 2101101223, 2101101232, 2101101233, 2101101234, 2101110000, 2101110001, 2101110010, 2101110011, 2101110012, 2101110100, 2101110101, 2101110110, 2101110111, 2101110112, 2101110121, 2101110122, 2101110123, 2101111000, 2101111001, 2101111010, 2101111011, 2101111012, 2101111100, 2101111101, 2101111110, 2101111111, 2101111112, 2101111121, 2101111122, 2101111123, 2101111210, 2101111211, 2101111212, 2101111221, 2101111222, 2101111223, 2101111232, 2101111233, 2101111234, 2101112100, 2101112101, 2101112110, 2101112111, 2101112112, 2101112121, 2101112122, 2101112123, 2101112210, 2101112211, 2101112212, 2101112221, 2101112222, 2101112223, 2101112232, 2101112233, 2101112234, 2101112321, 2101112322, 2101112323, 2101112332, 2101112333, 2101112334, 2101112343, 2101112344, 2101112345, 2101121000, 2101121001, 2101121010, 2101121011, 2101121012, 2101121100, 2101121101, 2101121110, 2101121111, 2101121112, 2101121121, 2101121122, 2101121123, 2101121210, 2101121211, 2101121212, 2101121221, 2101121222, 2101121223, 2101121232, 2101121233, 2101121234, 2101122100, 2101122101, 2101122110, 2101122111, 2101122112, 2101122121, 2101122122, 2101122123, 2101122210, 2101122211, 2101122212, 2101122221, 2101122222, 2101122223, 2101122232, 2101122233, 2101122234, 2101122321, 2101122322, 2101122323, 2101122332, 2101122333, 2101122334, 2101122343, 2101122344, 2101122345, 2101123210, 2101123211, 2101123212, 2101123221, 2101123222, 2101123223, 2101123232, 2101123233, 2101123234, 2101123321, 2101123322, 2101123323, 2101123332, 2101123333, 2101123334, 2101123343, 2101123344, 2101123345, 2101123432, 2101123433, 2101123434, 2101123443, 2101123444, 2101123445, 2101123454, 2101123455, 2101123456, 2101210000, 2101210001, 2101210010, 2101210011, 2101210012, 2101210100, 2101210101, 2101210110, 2101210111, 2101210112, 2101210121, 2101210122, 2101210123, 2101211000, 2101211001, 2101211010, 2101211011, 2101211012, 2101211100, 2101211101, 2101211110, 2101211111, 2101211112, 2101211121, 2101211122, 2101211123, 2101211210, 2101211211, 2101211212, 2101211221, 2101211222, 2101211223, 2101211232, 2101211233, 2101211234, 2101212100, 2101212101, 2101212110, 2101212111, 2101212112, 2101212121, 2101212122, 2101212123, 2101212210, 2101212211, 2101212212, 2101212221, 2101212222, 2101212223, 2101212232, 2101212233, 2101212234, 2101212321, 2101212322, 2101212323, 2101212332, 2101212333, 2101212334, 2101212343, 2101212344, 2101212345, 2101221000, 2101221001, 2101221010, 2101221011, 2101221012, 2101221100, 2101221101, 2101221110, 2101221111, 2101221112, 2101221121, 2101221122, 2101221123, 2101221210, 2101221211, 2101221212, 2101221221, 2101221222, 2101221223, 2101221232, 2101221233, 2101221234, 2101222100, 2101222101, 2101222110, 2101222111, 2101222112, 2101222121, 2101222122, 2101222123, 2101222210, 2101222211, 2101222212, 2101222221, 2101222222, 2101222223, 2101222232, 2101222233, 2101222234, 2101222321, 2101222322, 2101222323, 2101222332, 2101222333, 2101222334, 2101222343, 2101222344, 2101222345, 2101223210, 2101223211, 2101223212, 2101223221, 2101223222, 2101223223, 2101223232, 2101223233, 2101223234, 2101223321, 2101223322, 2101223323, 2101223332, 2101223333, 2101223334, 2101223343, 2101223344, 2101223345, 2101223432, 2101223433, 2101223434, 2101223443, 2101223444, 2101223445, 2101223454, 2101223455, 2101223456, 2101232100, 2101232101, 2101232110, 2101232111, 2101232112, 2101232121, 2101232122, 2101232123, 2101232210, 2101232211, 2101232212, 2101232221, 2101232222, 2101232223, 2101232232, 2101232233, 2101232234, 2101232321, 2101232322, 2101232323, 2101232332, 2101232333, 2101232334, 2101232343, 2101232344, 2101232345, 2101233210, 2101233211, 2101233212, 2101233221, 2101233222, 2101233223, 2101233232, 2101233233, 2101233234, 2101233321, 2101233322, 2101233323, 2101233332, 2101233333, 2101233334, 2101233343, 2101233344, 2101233345, 2101233432, 2101233433, 2101233434, 2101233443, 2101233444, 2101233445, 2101233454, 2101233455, 2101233456, 2101234321, 2101234322, 2101234323, 2101234332, 2101234333, 2101234334, 2101234343, 2101234344, 2101234345, 2101234432, 2101234433, 2101234434, 2101234443, 2101234444, 2101234445, 2101234454, 2101234455, 2101234456, 2101234543, 2101234544, 2101234545, 2101234554, 2101234555, 2101234556, 2101234565, 2101234566, 2101234567, 2110000000, 2110000001, 2110000010, 2110000011, 2110000012, 2110000100, 2110000101, 2110000110, 2110000111, 2110000112, 2110000121, 2110000122, 2110000123, 2110001000, 2110001001, 2110001010, 2110001011, 2110001012, 2110001100, 2110001101, 2110001110, 2110001111, 2110001112, 2110001121, 2110001122, 2110001123, 2110001210, 2110001211, 2110001212, 2110001221, 2110001222, 2110001223, 2110001232, 2110001233, 2110001234, 2110010000, 2110010001, 2110010010, 2110010011, 2110010012, 2110010100, 2110010101, 2110010110, 2110010111, 2110010112, 2110010121, 2110010122, 2110010123, 2110011000, 2110011001, 2110011010, 2110011011, 2110011012, 2110011100, 2110011101, 2110011110, 2110011111, 2110011112, 2110011121, 2110011122, 2110011123, 2110011210, 2110011211, 2110011212, 2110011221, 2110011222, 2110011223, 2110011232, 2110011233, 2110011234, 2110012100, 2110012101, 2110012110, 2110012111, 2110012112, 2110012121, 2110012122, 2110012123, 2110012210, 2110012211, 2110012212, 2110012221, 2110012222, 2110012223, 2110012232, 2110012233, 2110012234, 2110012321, 2110012322, 2110012323, 2110012332, 2110012333, 2110012334, 2110012343, 2110012344, 2110012345, 2110100000, 2110100001, 2110100010, 2110100011, 2110100012, 2110100100, 2110100101, 2110100110, 2110100111, 2110100112, 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2123454323, 2123454332, 2123454333, 2123454334, 2123454343, 2123454344, 2123454345, 2123454432, 2123454433, 2123454434, 2123454443, 2123454444, 2123454445, 2123454454, 2123454455, 2123454456, 2123454543, 2123454544, 2123454545, 2123454554, 2123454555, 2123454556, 2123454565, 2123454566, 2123454567, 2123455432, 2123455433, 2123455434, 2123455443, 2123455444, 2123455445, 2123455454, 2123455455, 2123455456, 2123455543, 2123455544, 2123455545, 2123455554, 2123455555, 2123455556, 2123455565, 2123455566, 2123455567, 2123455654, 2123455655, 2123455656, 2123455665, 2123455666, 2123455667, 2123455676, 2123455677, 2123455678, 2123456543, 2123456544, 2123456545, 2123456554, 2123456555, 2123456556, 2123456565, 2123456566, 2123456567, 2123456654, 2123456655, 2123456656, 2123456665, 2123456666, 2123456667, 2123456676, 2123456677, 2123456678, 2123456765, 2123456766, 2123456767, 2123456776, 2123456777, 2123456778, 2123456787, 2123456788, 2123456789, 2210000000, 2210000001, 2210000010, 2210000011, 2210000012, 2210000100, 2210000101, 2210000110, 2210000111, 2210000112, 2210000121, 2210000122, 2210000123, 2210001000, 2210001001, 2210001010, 2210001011, 2210001012, 2210001100, 2210001101, 2210001110, 2210001111, 2210001112, 2210001121, 2210001122, 2210001123, 2210001210, 2210001211, 2210001212, 2210001221, 2210001222, 2210001223, 2210001232, 2210001233, 2210001234, 2210010000, 2210010001, 2210010010, 2210010011, 2210010012, 2210010100, 2210010101, 2210010110, 2210010111, 2210010112, 2210010121, 2210010122, 2210010123, 2210011000, 2210011001, 2210011010, 2210011011, 2210011012, 2210011100, 2210011101, 2210011110, 2210011111, 2210011112, 2210011121, 2210011122, 2210011123, 2210011210, 2210011211, 2210011212, 2210011221, 2210011222, 2210011223, 2210011232, 2210011233, 2210011234, 2210012100, 2210012101, 2210012110, 2210012111, 2210012112, 2210012121, 2210012122, 2210012123, 2210012210, 2210012211, 2210012212, 2210012221, 2210012222, 2210012223, 2210012232, 2210012233, 2210012234, 2210012321, 2210012322, 2210012323, 2210012332, 2210012333, 2210012334, 2210012343, 2210012344, 2210012345, 2210100000, 2210100001, 2210100010, 2210100011, 2210100012, 2210100100, 2210100101, 2210100110, 2210100111, 2210100112, 2210100121, 2210100122, 2210100123, 2210101000, 2210101001, 2210101010, 2210101011, 2210101012, 2210101100, 2210101101, 2210101110, 2210101111, 2210101112, 2210101121, 2210101122, 2210101123, 2210101210, 2210101211, 2210101212, 2210101221, 2210101222, 2210101223, 2210101232, 2210101233, 2210101234, 2210110000, 2210110001, 2210110010, 2210110011, 2210110012, 2210110100, 2210110101, 2210110110, 2210110111, 2210110112, 2210110121, 2210110122, 2210110123, 2210111000, 2210111001, 2210111010, 2210111011, 2210111012, 2210111100, 2210111101, 2210111110, 2210111111, 2210111112, 2210111121, 2210111122, 2210111123, 2210111210, 2210111211, 2210111212, 2210111221, 2210111222, 2210111223, 2210111232, 2210111233, 2210111234, 2210112100, 2210112101, 2210112110, 2210112111, 2210112112, 2210112121, 2210112122, 2210112123, 2210112210, 2210112211, 2210112212, 2210112221, 2210112222, 2210112223, 2210112232, 2210112233, 2210112234, 2210112321, 2210112322, 2210112323, 2210112332, 2210112333, 2210112334, 2210112343, 2210112344, 2210112345, 2210121000, 2210121001, 2210121010, 2210121011, 2210121012, 2210121100, 2210121101, 2210121110, 2210121111, 2210121112, 2210121121, 2210121122, 2210121123, 2210121210, 2210121211, 2210121212, 2210121221, 2210121222, 2210121223, 2210121232, 2210121233, 2210121234, 2210122100, 2210122101, 2210122110, 2210122111, 2210122112, 2210122121, 2210122122, 2210122123, 2210122210, 2210122211, 2210122212, 2210122221, 2210122222, 2210122223, 2210122232, 2210122233, 2210122234, 2210122321, 2210122322, 2210122323, 2210122332, 2210122333, 2210122334, 2210122343, 2210122344, 2210122345, 2210123210, 2210123211, 2210123212, 2210123221, 2210123222, 2210123223, 2210123232, 2210123233, 2210123234, 2210123321, 2210123322, 2210123323, 2210123332, 2210123333, 2210123334, 2210123343, 2210123344, 2210123345, 2210123432, 2210123433, 2210123434, 2210123443, 2210123444, 2210123445, 2210123454, 2210123455, 2210123456, 2211000000, 2211000001, 2211000010, 2211000011, 2211000012, 2211000100, 2211000101, 2211000110, 2211000111, 2211000112, 2211000121, 2211000122, 2211000123, 2211001000, 2211001001, 2211001010, 2211001011, 2211001012, 2211001100, 2211001101, 2211001110, 2211001111, 2211001112, 2211001121, 2211001122, 2211001123, 2211001210, 2211001211, 2211001212, 2211001221, 2211001222, 2211001223, 2211001232, 2211001233, 2211001234, 2211010000, 2211010001, 2211010010, 2211010011, 2211010012, 2211010100, 2211010101, 2211010110, 2211010111, 2211010112, 2211010121, 2211010122, 2211010123, 2211011000, 2211011001, 2211011010, 2211011011, 2211011012, 2211011100, 2211011101, 2211011110, 2211011111, 2211011112, 2211011121, 2211011122, 2211011123, 2211011210, 2211011211, 2211011212, 2211011221, 2211011222, 2211011223, 2211011232, 2211011233, 2211011234, 2211012100, 2211012101, 2211012110, 2211012111, 2211012112, 2211012121, 2211012122, 2211012123, 2211012210, 2211012211, 2211012212, 2211012221, 2211012222, 2211012223, 2211012232, 2211012233, 2211012234, 2211012321, 2211012322, 2211012323, 2211012332, 2211012333, 2211012334, 2211012343, 2211012344, 2211012345, 2211100000, 2211100001, 2211100010, 2211100011, 2211100012, 2211100100, 2211100101, 2211100110, 2211100111, 2211100112, 2211100121, 2211100122, 2211100123, 2211101000, 2211101001, 2211101010, 2211101011, 2211101012, 2211101100, 2211101101, 2211101110, 2211101111, 2211101112, 2211101121, 2211101122, 2211101123, 2211101210, 2211101211, 2211101212, 2211101221, 2211101222, 2211101223, 2211101232, 2211101233, 2211101234, 2211110000, 2211110001, 2211110010, 2211110011, 2211110012, 2211110100, 2211110101, 2211110110, 2211110111, 2211110112, 2211110121, 2211110122, 2211110123, 2211111000, 2211111001, 2211111010, 2211111011, 2211111012, 2211111100, 2211111101, 2211111110, 2211111111, 2211111112, 2211111121, 2211111122, 2211111123, 2211111210, 2211111211, 2211111212, 2211111221, 2211111222, 2211111223, 2211111232, 2211111233, 2211111234, 2211112100, 2211112101, 2211112110, 2211112111, 2211112112, 2211112121, 2211112122, 2211112123, 2211112210, 2211112211, 2211112212, 2211112221, 2211112222, 2211112223, 2211112232, 2211112233, 2211112234, 2211112321, 2211112322, 2211112323, 2211112332, 2211112333, 2211112334, 2211112343, 2211112344, 2211112345, 2211121000, 2211121001, 2211121010, 2211121011, 2211121012, 2211121100, 2211121101, 2211121110, 2211121111, 2211121112, 2211121121, 2211121122, 2211121123, 2211121210, 2211121211, 2211121212, 2211121221, 2211121222, 2211121223, 2211121232, 2211121233, 2211121234, 2211122100, 2211122101, 2211122110, 2211122111, 2211122112, 2211122121, 2211122122, 2211122123, 2211122210, 2211122211, 2211122212, 2211122221, 2211122222, 2211122223, 2211122232, 2211122233, 2211122234, 2211122321, 2211122322, 2211122323, 2211122332, 2211122333, 2211122334, 2211122343, 2211122344, 2211122345, 2211123210, 2211123211, 2211123212, 2211123221, 2211123222, 2211123223, 2211123232, 2211123233, 2211123234, 2211123321, 2211123322, 2211123323, 2211123332, 2211123333, 2211123334, 2211123343, 2211123344, 2211123345, 2211123432, 2211123433, 2211123434, 2211123443, 2211123444, 2211123445, 2211123454, 2211123455, 2211123456, 2211210000, 2211210001, 2211210010, 2211210011, 2211210012, 2211210100, 2211210101, 2211210110, 2211210111, 2211210112, 2211210121, 2211210122, 2211210123, 2211211000, 2211211001, 2211211010, 2211211011, 2211211012, 2211211100, 2211211101, 2211211110, 2211211111, 2211211112, 2211211121, 2211211122, 2211211123, 2211211210, 2211211211, 2211211212, 2211211221, 2211211222, 2211211223, 2211211232, 2211211233, 2211211234, 2211212100, 2211212101, 2211212110, 2211212111, 2211212112, 2211212121, 2211212122, 2211212123, 2211212210, 2211212211, 2211212212, 2211212221, 2211212222, 2211212223, 2211212232, 2211212233, 2211212234, 2211212321, 2211212322, 2211212323, 2211212332, 2211212333, 2211212334, 2211212343, 2211212344, 2211212345, 2211221000, 2211221001, 2211221010, 2211221011, 2211221012, 2211221100, 2211221101, 2211221110, 2211221111, 2211221112, 2211221121, 2211221122, 2211221123, 2211221210, 2211221211, 2211221212, 2211221221, 2211221222, 2211221223, 2211221232, 2211221233, 2211221234, 2211222100, 2211222101, 2211222110, 2211222111, 2211222112, 2211222121, 2211222122, 2211222123, 2211222210, 2211222211, 2211222212, 2211222221, 2211222222, 2211222223, 2211222232, 2211222233, 2211222234, 2211222321, 2211222322, 2211222323, 2211222332, 2211222333, 2211222334, 2211222343, 2211222344, 2211222345, 2211223210, 2211223211, 2211223212, 2211223221, 2211223222, 2211223223, 2211223232, 2211223233, 2211223234, 2211223321, 2211223322, 2211223323, 2211223332, 2211223333, 2211223334, 2211223343, 2211223344, 2211223345, 2211223432, 2211223433, 2211223434, 2211223443, 2211223444, 2211223445, 2211223454, 2211223455, 2211223456, 2211232100, 2211232101, 2211232110, 2211232111, 2211232112, 2211232121, 2211232122, 2211232123, 2211232210, 2211232211, 2211232212, 2211232221, 2211232222, 2211232223, 2211232232, 2211232233, 2211232234, 2211232321, 2211232322, 2211232323, 2211232332, 2211232333, 2211232334, 2211232343, 2211232344, 2211232345, 2211233210, 2211233211, 2211233212, 2211233221, 2211233222, 2211233223, 2211233232, 2211233233, 2211233234, 2211233321, 2211233322, 2211233323, 2211233332, 2211233333, 2211233334, 2211233343, 2211233344, 2211233345, 2211233432, 2211233433, 2211233434, 2211233443, 2211233444, 2211233445, 2211233454, 2211233455, 2211233456, 2211234321, 2211234322, 2211234323, 2211234332, 2211234333, 2211234334, 2211234343, 2211234344, 2211234345, 2211234432, 2211234433, 2211234434, 2211234443, 2211234444, 2211234445, 2211234454, 2211234455, 2211234456, 2211234543, 2211234544, 2211234545, 2211234554, 2211234555, 2211234556, 2211234565, 2211234566, 2211234567, 2212100000, 2212100001, 2212100010, 2212100011, 2212100012, 2212100100, 2212100101, 2212100110, 2212100111, 2212100112, 2212100121, 2212100122, 2212100123, 2212101000, 2212101001, 2212101010, 2212101011, 2212101012, 2212101100, 2212101101, 2212101110, 2212101111, 2212101112, 2212101121, 2212101122, 2212101123, 2212101210, 2212101211, 2212101212, 2212101221, 2212101222, 2212101223, 2212101232, 2212101233, 2212101234, 2212110000, 2212110001, 2212110010, 2212110011, 2212110012, 2212110100, 2212110101, 2212110110, 2212110111, 2212110112, 2212110121, 2212110122, 2212110123, 2212111000, 2212111001, 2212111010, 2212111011, 2212111012, 2212111100, 2212111101, 2212111110, 2212111111, 2212111112, 2212111121, 2212111122, 2212111123, 2212111210, 2212111211, 2212111212, 2212111221, 2212111222, 2212111223, 2212111232, 2212111233, 2212111234, 2212112100, 2212112101, 2212112110, 2212112111, 2212112112, 2212112121, 2212112122, 2212112123, 2212112210, 2212112211, 2212112212, 2212112221, 2212112222, 2212112223, 2212112232, 2212112233, 2212112234, 2212112321, 2212112322, 2212112323, 2212112332, 2212112333, 2212112334, 2212112343, 2212112344, 2212112345, 2212121000, 2212121001, 2212121010, 2212121011, 2212121012, 2212121100, 2212121101, 2212121110, 2212121111, 2212121112, 2212121121, 2212121122, 2212121123, 2212121210, 2212121211, 2212121212, 2212121221, 2212121222, 2212121223, 2212121232, 2212121233, 2212121234, 2212122100, 2212122101, 2212122110, 2212122111, 2212122112, 2212122121, 2212122122, 2212122123, 2212122210, 2212122211, 2212122212, 2212122221, 2212122222, 2212122223, 2212122232, 2212122233, 2212122234, 2212122321, 2212122322, 2212122323, 2212122332, 2212122333, 2212122334, 2212122343, 2212122344, 2212122345, 2212123210, 2212123211, 2212123212, 2212123221, 2212123222, 2212123223, 2212123232, 2212123233, 2212123234, 2212123321, 2212123322, 2212123323, 2212123332, 2212123333, 2212123334, 2212123343, 2212123344, 2212123345, 2212123432, 2212123433, 2212123434, 2212123443, 2212123444, 2212123445, 2212123454, 2212123455, 2212123456, 2212210000, 2212210001, 2212210010, 2212210011, 2212210012, 2212210100, 2212210101, 2212210110, 2212210111, 2212210112, 2212210121, 2212210122, 2212210123, 2212211000, 2212211001, 2212211010, 2212211011, 2212211012, 2212211100, 2212211101, 2212211110, 2212211111, 2212211112, 2212211121, 2212211122, 2212211123, 2212211210, 2212211211, 2212211212, 2212211221, 2212211222, 2212211223, 2212211232, 2212211233, 2212211234, 2212212100, 2212212101, 2212212110, 2212212111, 2212212112, 2212212121, 2212212122, 2212212123, 2212212210, 2212212211, 2212212212, 2212212221, 2212212222, 2212212223, 2212212232, 2212212233, 2212212234, 2212212321, 2212212322, 2212212323, 2212212332, 2212212333, 2212212334, 2212212343, 2212212344, 2212212345, 2212221000, 2212221001, 2212221010, 2212221011, 2212221012, 2212221100, 2212221101, 2212221110, 2212221111, 2212221112, 2212221121, 2212221122, 2212221123, 2212221210, 2212221211, 2212221212, 2212221221, 2212221222, 2212221223, 2212221232, 2212221233, 2212221234, 2212222100, 2212222101, 2212222110, 2212222111, 2212222112, 2212222121, 2212222122, 2212222123, 2212222210, 2212222211, 2212222212, 2212222221, 2212222222, 2212222223, 2212222232, 2212222233, 2212222234, 2212222321, 2212222322, 2212222323, 2212222332, 2212222333, 2212222334, 2212222343, 2212222344, 2212222345, 2212223210, 2212223211, 2212223212, 2212223221, 2212223222, 2212223223, 2212223232, 2212223233, 2212223234, 2212223321, 2212223322, 2212223323, 2212223332, 2212223333, 2212223334, 2212223343, 2212223344, 2212223345, 2212223432, 2212223433, 2212223434, 2212223443, 2212223444, 2212223445, 2212223454, 2212223455, 2212223456, 2212232100, 2212232101, 2212232110, 2212232111, 2212232112, 2212232121, 2212232122, 2212232123, 2212232210, 2212232211, 2212232212, 2212232221, 2212232222, 2212232223, 2212232232, 2212232233, 2212232234, 2212232321, 2212232322, 2212232323, 2212232332, 2212232333, 2212232334, 2212232343, 2212232344, 2212232345, 2212233210, 2212233211, 2212233212, 2212233221, 2212233222, 2212233223, 2212233232, 2212233233, 2212233234, 2212233321, 2212233322, 2212233323, 2212233332, 2212233333, 2212233334, 2212233343, 2212233344, 2212233345, 2212233432, 2212233433, 2212233434, 2212233443, 2212233444, 2212233445, 2212233454, 2212233455, 2212233456, 2212234321, 2212234322, 2212234323, 2212234332, 2212234333, 2212234334, 2212234343, 2212234344, 2212234345, 2212234432, 2212234433, 2212234434, 2212234443, 2212234444, 2212234445, 2212234454, 2212234455, 2212234456, 2212234543, 2212234544, 2212234545, 2212234554, 2212234555, 2212234556, 2212234565, 2212234566, 2212234567, 2212321000, 2212321001, 2212321010, 2212321011, 2212321012, 2212321100, 2212321101, 2212321110, 2212321111, 2212321112, 2212321121, 2212321122, 2212321123, 2212321210, 2212321211, 2212321212, 2212321221, 2212321222, 2212321223, 2212321232, 2212321233, 2212321234, 2212322100, 2212322101, 2212322110, 2212322111, 2212322112, 2212322121, 2212322122, 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def runrun(n):
    n=str(n)
    for i in range(len(n)-1):
        if abs(int(n[i])-int(n[i+1]))>1:
            return False
    return True

K=int(input())
if K<=80000:
    K+=1

    sep=50

    i=d[(K//sep)*sep]
    count=(K//sep)*sep
    while True:
        if count==K:
            break
        if runrun(i):
            count+=1
        i+=1

    print(i-1)

else:
    print(d2[K-80000])