80020'5,10,15,20,25,30,35,40,45''-122.60719744,-122.76034014,-122.81340245,-122.81418054,-122.81415553,-122.81425033,-122.81435894,-122.81432048,-122.81434511''500,550,600,650,700,750,800,850,900,950,1000,1050''-122.73797828,-122.76033889,-122.77189784,-122.77710184,-122.77980652,-122.78124705,-122.7822085,-122.78223318,-122.78186322,-122.78169563,-122.78142301,-122.78114329'
/rk2/knc6/JARVIS-DFT/Sugata-bulk2/mp-29877_PBEBO'https://www.materialsproject.org/materials/mp-29877''/rk2/knc6/JARVIS-DFT/Sugata-bulk2/mp-29877_PBEBO'JARVIS-ID'JARVIS-ID'JARVIS-DFT-VASP'JARVIS-DFT-VASP'bulk'bulk'-0.0"16.12859701770414,18.723025012267335,18.72313047947469,19.43817404061355,19.438207950301457,24.80757950640522,24.807660194170047,27.116359486592415,27.116458519513035,32.588289870352874,32.728212201976774,32.72840005372974,33.15814837657291,33.15821027299576,33.15831343347307,37.84775858910584,37.84781376556626,37.97070488230865,37.970924980424805,43.00222900899165,43.00236137661252,43.0024771980118,46.858130783917964,46.85826997569716,50.884337208887445,50.88451174419161,50.9815437295875,50.98176159840709,50.981892319376605,51.281861574128925,51.28193389098677,51.28216530444019,54.88587737451831,58.514078322129485,58.51411802151303,58.514184187114786,58.69131235669195,61.827144268702995,61.827336289779694,61.82745150226029,77.79014743453408,162.3130722101901""5.495411331538166,4.739362951684594,4.739336492890995,4.566581716230932,4.566573826447403,3.5890142486397396,3.5890027581846566,3.2884502859058755,3.2884385010571666,2.747705665769083,2.7362775679964977,2.736262291919608,2.701774969047162,2.7017700671961515,2.7017618975037574,2.377095918683057,2.3770925801708254,2.369681475842297,2.3696682464454977,2.103354305138162,2.1033481375141045,2.1033427408875607,1.9388682364408663,1.9388628017094802,1.7945071243198698,1.7945013790923283,1.7913136777448242,1.7913065344907086,1.7913022485792582,1.7815270526132465,1.7815247103326262,1.7815172150967231,1.672767500921434,1.5773995397739462,1.5773985642487431,1.5773969383774273,1.5730582686340915,1.500590289390076,1.5005860901728243,1.5005835706593946,1.2277826670922736,0.7801949230048723""0.9061080603925719,7.5941535362504995,3.7970276951954856,3.1655513862462032,6.330996388596859,2.3843060807345555,1.1921432352931363,3.3834591103633778,6.766967101783956,2.792617889756816,1.9329707626040888,3.865882524127261,2.608782418594232,2.6086890682695065,2.6086944490408457,2.4025082646191858,1.2012495934444278,1.5146252362684753,0.7573010237803973,0.6611451841727289,0.6611762826971458,0.6611623981930362,1.4461757831112896,2.892326277993756,1.4171730175369133,0.7085794301101835,0.7804622181727555,0.7804524949740592,0.7804466611361935,1.1490564708255664,1.1490037295190252,1.1490071947718055,0.9162065141565641,0.5217842669626555,0.5217670672389599,0.5217706687732865,0.7604772906327694,0.9078389227525906,0.9078303890617274,0.907825268901176,0.6380600755690089,0.630155071619698"JVASP-31597"DFPT,JVASP-31597.zip,https://ndownloader.figshare.com/files/22963151;OPT-LOPTICS,JVASP-31597.zip,https://ndownloader.figshare.com/files/24281186;OPT-Bandst,JVASP-31597.zip,https://ndownloader.figshare.com/files/23874980;DFT-SCF,JVASP-31597.zip,https://ndownloader.figshare.com/files/23322722;""JVASP-31597"K2ReH9"K2ReH9"K,Re,H"K,Re,H"3OptB88vdW"OptB88vdW"-0.28371-3.41432189-6m2P-62mhexagonal9.489.485.590.090.0120.09.489.485.590.090.0120.036363.186"K,-0.000,-0.000,-0.000,0.0,-0.000;K,-0.000,-0.000,0.000,0.0,-0.000;K,-0.000,-0.000,-0.000,0.0,-0.000;K,0.000,0.000,0.000,0.0,0.000;K,0.000,-0.000,-0.000,0.0,0.000;K,0.000,0.000,-0.000,0.0,0.000;Re,0.000,0.000,-0.000,0.0,-0.000;Re,-0.000,-0.000,-0.000,0.0,-0.000;Re,-0.000,-0.000,-0.000,0.0,-0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,-0.000,-0.000,0.000,0.0,-0.000;H,-0.000,-0.000,0.000,0.0,-0.000;H,-0.000,-0.000,0.000,0.0,-0.000;H,-0.000,-0.000,0.000,0.0,-0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,-0.000;H,0.000,0.000,0.000,0.0,0.000;H,0.000,-0.000,0.000,0.0,0.000""K,1.957,5.573,0.018,0.0,7.548;K,1.957,5.573,0.018,0.0,7.548;K,1.957,5.573,0.018,0.0,7.549;K,1.964,5.586,0.030,0.0,7.580;K,1.964,5.586,0.030,0.0,7.580;K,1.964,5.586,0.030,0.0,7.580;Re,0.482,6.618,4.699,0.0,11.799;Re,0.480,6.610,4.702,0.0,11.792;Re,0.480,6.610,4.702,0.0,11.792;H,0.538,0.016,0.000,0.0,0.554;H,0.538,0.016,0.000,0.0,0.554;H,0.538,0.016,0.000,0.0,0.554;H,0.552,0.013,0.000,0.0,0.565;H,0.552,0.013,0.000,0.0,0.565;H,0.553,0.013,0.000,0.0,0.566;H,0.553,0.013,0.000,0.0,0.566;H,0.552,0.013,0.000,0.0,0.565;H,0.552,0.013,0.000,0.0,0.565;H,0.539,0.016,0.000,0.0,0.555;H,0.539,0.016,0.000,0.0,0.555;H,0.539,0.016,0.000,0.0,0.555;H,0.539,0.016,0.000,0.0,0.555;H,0.538,0.016,0.000,0.0,0.555;H,0.539,0.016,0.000,0.0,0.555;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560;H,0.547,0.013,0.000,0.0,0.560"427.5890.702"288\n9.4788 -16.41778 0.0 9.4788 16.41778 0.0 0.0 0.0 10.9905\nK -5.8825 -4.8608 0.5343\nK -5.8825 -4.8608 6.0295\nK -1.1431 3.3481 0.5343\nK -1.1431 3.3481 6.0295\nK -1.1431 -13.0697 0.5343\nK -1.1431 -13.0697 6.0295\nK 3.5963 -4.8608 0.5343\nK 3.5963 -4.8608 6.0295\nK -4.8229 0.0 0.5343\nK -4.8229 0.0 6.0295\nK -0.0835 8.2089 0.5343\nK -0.0835 8.2089 6.0295\nK -0.0835 -8.2089 0.5343\nK -0.0835 -8.2089 6.0295\nK 4.6559 0.0 0.5343\nK 4.6559 0.0 6.0295\nK -5.8825 4.8608 0.5343\nK -5.8825 4.8608 6.0295\nK -1.1431 13.0697 0.5343\nK -1.1431 13.0697 6.0295\nK -1.1431 -3.3481 0.5343\nK -1.1431 -3.3481 6.0295\nK 3.5963 4.8608 0.5343\nK 3.5963 4.8608 6.0295\nK -7.4438 -2.1566 3.2819\nK -7.4438 -2.1566 8.7771\nK -2.7044 6.0523 3.2819\nK -2.7044 6.0523 8.7771\nK -2.7044 -10.3655 3.2819\nK -2.7044 -10.3655 8.7771\nK 2.035 -2.1566 3.2819\nK 2.035 -2.1566 8.7771\nK -1.7004 0.0 3.2819\nK -1.7004 0.0 8.7771\nK 3.039 8.2089 3.2819\nK 3.039 8.2089 8.7771\nK 3.039 -8.2089 3.2819\nK 3.039 -8.2089 8.7771\nK 7.7784 0.0 3.2819\nK 7.7784 0.0 8.7771\nK -7.4438 2.1566 3.2819\nK -7.4438 2.1566 8.7771\nK -2.7044 10.3655 3.2819\nK -2.7044 10.3655 8.7771\nK -2.7044 -6.0523 3.2819\nK -2.7044 -6.0523 8.7771\nK 2.035 2.1566 3.2819\nK 2.035 2.1566 8.7771\nRe -8.6889 0.0 0.5343\nRe -8.6889 0.0 6.0295\nRe -3.9495 8.2089 0.5343\nRe -3.9495 8.2089 6.0295\nRe -3.9495 -8.2089 0.5343\nRe -3.9495 -8.2089 6.0295\nRe 0.7899 0.0 0.5343\nRe 0.7899 0.0 6.0295\nRe -3.9495 2.7363 3.2819\nRe -3.9495 2.7363 8.7771\nRe 0.7899 10.9452 3.2819\nRe 0.7899 10.9452 8.7771\nRe 0.7899 -5.4726 3.2819\nRe 0.7899 -5.4726 8.7771\nRe 5.5293 2.7363 3.2819\nRe 5.5293 2.7363 8.7771\nRe -3.9495 -2.7363 3.2819\nRe -3.9495 -2.7363 8.7771\nRe 0.7899 5.4726 3.2819\nRe 0.7899 5.4726 8.7771\nRe 0.7899 -10.9452 3.2819\nRe 0.7899 -10.9452 8.7771\nRe 5.5293 -2.7363 3.2819\nRe 5.5293 -2.7363 8.7771\nH -7.841 -1.4686 0.5343\nH -7.841 -1.4686 6.0295\nH -3.1016 6.7403 0.5343\nH -3.1016 6.7403 6.0295\nH -3.1016 -9.6775 0.5343\nH -3.1016 -9.6775 6.0295\nH 1.6378 -1.4686 0.5343\nH 1.6378 -1.4686 6.0295\nH -0.9059 0.0 0.5343\nH -0.9059 0.0 6.0295\nH 3.8335 8.2089 0.5343\nH 3.8335 8.2089 6.0295\nH 3.8335 -8.2089 0.5343\nH 3.8335 -8.2089 6.0295\nH 8.5729 0.0 0.5343\nH 8.5729 0.0 6.0295\nH -7.841 1.4686 0.5343\nH -7.841 1.4686 6.0295\nH -3.1016 9.6775 0.5343\nH -3.1016 9.6775 6.0295\nH -3.1016 -6.7403 0.5343\nH -3.1016 -6.7403 6.0295\nH 1.6378 1.4686 0.5343\nH 1.6378 1.4686 6.0295\nH -4.5621 -7.1479 1.7351\nH -4.5621 -7.1479 7.2304\nH 0.1773 1.061 1.7351\nH 0.1773 1.061 7.2304\nH 0.1773 -15.3568 1.7351\nH 0.1773 -15.3568 7.2304\nH 4.9167 -7.1479 1.7351\nH 4.9167 -7.1479 7.2304\nH -7.4638 0.0 4.8286\nH -7.4638 0.0 10.3239\nH -2.7244 8.2089 4.8286\nH -2.7244 8.2089 10.3239\nH -2.7244 -8.2089 4.8286\nH -2.7244 -8.2089 10.3239\nH 2.015 0.0 4.8286\nH 2.015 0.0 10.3239\nH -4.5621 7.1479 4.8286\nH -4.5621 7.1479 10.3239\nH 0.1773 15.3568 4.8286\nH 0.1773 15.3568 10.3239\nH 0.1773 -1.061 4.8286\nH 0.1773 -1.061 10.3239\nH 4.9167 7.1479 4.8286\nH 4.9167 7.1479 10.3239\nH -4.5621 7.1479 1.7351\nH -4.5621 7.1479 7.2304\nH 0.1773 15.3568 1.7351\nH 0.1773 15.3568 7.2304\nH 0.1773 -1.061 1.7351\nH 0.1773 -1.061 7.2304\nH 4.9167 7.1479 1.7351\nH 4.9167 7.1479 7.2304\nH -7.4638 0.0 1.7351\nH -7.4638 0.0 7.2304\nH -2.7244 8.2089 1.7351\nH -2.7244 8.2089 7.2304\nH -2.7244 -8.2089 1.7351\nH -2.7244 -8.2089 7.2304\nH 2.015 0.0 1.7351\nH 2.015 0.0 7.2304\nH -4.5621 -7.1479 4.8286\nH -4.5621 -7.1479 10.3239\nH 0.1773 1.061 4.8286\nH 0.1773 1.061 10.3239\nH 0.1773 -15.3568 4.8286\nH 0.1773 -15.3568 10.3239\nH 4.9167 -7.1479 4.8286\nH 4.9167 -7.1479 10.3239\nH -5.0081 4.0556 3.2819\nH -5.0081 4.0556 8.7771\nH -0.2687 12.2645 3.2819\nH -0.2687 12.2645 8.7771\nH -0.2687 -4.1533 3.2819\nH -0.2687 -4.1533 8.7771\nH 4.4707 4.0556 3.2819\nH 4.4707 4.0556 8.7771\nH -2.2776 2.9934 3.2819\nH -2.2776 2.9934 8.7771\nH 2.4618 11.2023 3.2819\nH 2.4618 11.2023 8.7771\nH 2.4618 -5.2155 3.2819\nH 2.4618 -5.2155 8.7771\nH 7.2012 2.9934 3.2819\nH 7.2012 2.9934 8.7771\nH -4.5627 1.1599 3.2819\nH -4.5627 1.1599 8.7771\nH 0.1767 9.3687 3.2819\nH 0.1767 9.3687 8.7771\nH 0.1767 -7.049 3.2819\nH 0.1767 -7.049 8.7771\nH 4.9161 1.1599 3.2819\nH 4.9161 1.1599 8.7771\nH -4.5627 -1.1599 3.2819\nH -4.5627 -1.1599 8.7771\nH 0.1767 7.049 3.2819\nH 0.1767 7.049 8.7771\nH 0.1767 -9.3687 3.2819\nH 0.1767 -9.3687 8.7771\nH 4.9161 -1.1599 3.2819\nH 4.9161 -1.1599 8.7771\nH -2.2776 -2.9934 3.2819\nH -2.2776 -2.9934 8.7771\nH 2.4618 5.2155 3.2819\nH 2.4618 5.2155 8.7771\nH 2.4618 -11.2023 3.2819\nH 2.4618 -11.2023 8.7771\nH 7.2012 -2.9934 3.2819\nH 7.2012 -2.9934 8.7771\nH -5.0081 -4.0556 3.2819\nH -5.0081 -4.0556 8.7771\nH -0.2687 4.1533 3.2819\nH -0.2687 4.1533 8.7771\nH -0.2687 -12.2645 3.2819\nH -0.2687 -12.2645 8.7771\nH 4.4707 -4.0556 3.2819\nH 4.4707 -4.0556 8.7771\nH -5.1317 2.5487 4.5208\nH -5.1317 2.5487 10.0161\nH -0.3923 10.7576 4.5208\nH -0.3923 10.7576 10.0161\nH -0.3923 -5.6602 4.5208\nH -0.3923 -5.6602 10.0161\nH 4.3471 2.5487 4.5208\nH 4.3471 2.5487 10.0161\nH -3.5209 3.8539 2.043\nH -3.5209 3.8539 7.5382\nH 1.2185 12.0628 2.043\nH 1.2185 12.0628 7.5382\nH 1.2185 -4.355 2.043\nH 1.2185 -4.355 7.5382\nH 5.9579 3.8539 2.043\nH 5.9579 3.8539 7.5382\nH -3.1959 1.8063 2.043\nH -3.1959 1.8063 7.5382\nH 1.5435 10.0152 2.043\nH 1.5435 10.0152 7.5382\nH 1.5435 -6.4026 2.043\nH 1.5435 -6.4026 7.5382\nH 6.2829 1.8063 2.043\nH 6.2829 1.8063 7.5382\nH -3.1959 1.8063 4.5208\nH -3.1959 1.8063 10.0161\nH 1.5435 10.0152 4.5208\nH 1.5435 10.0152 10.0161\nH 1.5435 -6.4026 4.5208\nH 1.5435 -6.4026 10.0161\nH 6.2829 1.8063 4.5208\nH 6.2829 1.8063 10.0161\nH -3.5209 3.8539 4.5208\nH -3.5209 3.8539 10.0161\nH 1.2185 12.0628 4.5208\nH 1.2185 12.0628 10.0161\nH 1.2185 -4.355 4.5208\nH 1.2185 -4.355 10.0161\nH 5.9579 3.8539 4.5208\nH 5.9579 3.8539 10.0161\nH -3.1959 -1.8063 2.043\nH -3.1959 -1.8063 7.5382\nH 1.5435 6.4026 2.043\nH 1.5435 6.4026 7.5382\nH 1.5435 -10.0152 2.043\nH 1.5435 -10.0152 7.5382\nH 6.2829 -1.8063 2.043\nH 6.2829 -1.8063 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6.696137118328062\n5.964531591875687 8.20889 1.2008871183280618\n5.964531591875687 8.20889 6.696137118328062\n5.964531591875687 -8.20889 1.2008871183280618\n5.964531591875687 -8.20889 6.696137118328062\n10.703931591875687 -7.094436284682342e-18 1.2008871183280618\n10.703931591875687 -7.094436284682342e-18 6.696137118328062\n4.126834204062156 -7.147893832422626 4.294362881671939\n11.150652582785803 5.2154501971503855 2.747625\n4.126834204062156 -7.147893832422626 9.789612881671939\n8.866234204062156 1.0609961675773745 9.789612881671939\n8.866234204062156 -15.356783832422625 4.294362881671939\n8.866234204062156 -15.356783832422625 9.789612881671939\n13.605634204062156 -7.147893832422626 4.294362881671939\n14.646820424842462 -3.853925966204617 3.98656008468308\n3.6807814482115764 4.055593388686235 2.747625\n3.6807814482115764 4.055593388686235 8.242875000000002\n8.420181448211576 12.264483388686235 2.747625\n8.420181448211576 12.264483388686235 8.242875000000002\n8.420181448211576 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3.98656008468308\n3.557202918483155 2.548678573348407 1.5086899153169209\n5.168031329213297 -3.853925966177735 1.5086899153169209\n3.5572029184831546 -2.5486785733484068 1.5086899153169209\n3.6807892145563637 -4.055593388686235 2.747625\n3.5572029184831546 -2.5486785733484068 3.98656008468308\n5.492995752303551 -1.806285460473865 1.5086899153169209\n6.411266110368896 -2.9934398028306517 2.747625\n4.1268429115550935 -7.147893832428719 4.2943628816719395\n4.126174675074738 1.1598568084831005 2.747625\n6.411266110368896 2.9934398028306526 2.747625\n3.680789214556363 4.055593388686235 2.747625\n5.492995752303551 -1.806285460473865 3.98656008468308\n1.2251341768898145 -5.124967130802255e-17 1.200887118328062\n4.1268429115550935 7.147893832428719 1.200887118328062\n4.1268429115550935 7.147893832428719 4.2943628816719395\n1.2251341768898145 -5.124967130802255e-17 4.2943628816719395\n4.1268429115550935 -7.147893832428719 1.200887118328062\n0.847880866649045 1.468571144353211 0.0\n7.78305826670191 2.8372575377363876e-17 0.0\n0.847880866649045 -1.4685711443532108 0.0\n4.126174675074738 -1.1598568084831011 2.747625\n5.168031329213297 -3.853925966177735 3.98656008468308\n""CIF file written using JARVIS-Tools package.\ndata_K2ReH9\n_symmetry_space_group_name_H-M 'P-62m'\n_cell_length_a 9.47881\n_cell_length_b 9.47881\n_cell_length_c 5.49525\n_cell_angle_alpha 90\n_cell_angle_beta 90\n_cell_angle_gamma 120\n\n_symmetry_Int_Tables_number 189\n_chemical_formula_structural K2ReH9\n_chemical_formula_sum K6Re3H27\n_cell_volume 427.58857591666066\n_cell_formula_units_Z 3\nloop_\n _symmetry_equiv_pos_site_id\n _symmetry_equiv_pos_as_xyz\n 1 'x, y, z'\nloop_\n _atom_site_type_symbol\n _atom_site_label\n _atom_site_symmetry_multiplicity\n _atom_site_fract_x\n _atom_site_fract_y\n _atom_site_fract_z\n _atom_site_fract_occupancy\n H H1 1 0.87075 -0.00000 0.78147 1\n H H2 1 0.36466 0.50595 0.50000 1\n H H3 1 0.50595 0.36466 0.50000 1\n H H4 1 0.85871 0.49405 0.50000 1\n H H5 1 0.63534 0.14129 0.50000 1\n H H6 1 0.22004 0.53052 0.72546 1\n H H7 1 0.31048 0.77996 0.27454 1\n H H8 1 0.49405 0.85871 0.50000 1\n H H9 1 0.46948 0.68952 0.27454 1\n H H10 1 0.31048 0.77996 0.72546 1\n H H11 1 0.68952 0.46948 0.27454 1\n H H12 1 0.77996 0.31048 0.27454 1\n H H13 1 0.53052 0.22004 0.27454 1\n H H14 1 0.22004 0.53052 0.27454 1\n H H15 1 0.53052 0.22004 0.72546 1\n H H16 1 0.46948 0.68952 0.72546 1\n H H17 1 0.14129 0.63534 0.50000 1\n H H18 1 0.77996 0.31048 0.72546 1\n H H19 1 0.12925 0.12925 0.21853 1\n H H20 1 -0.00000 0.87075 0.21853 1\n H H21 1 -0.00000 0.87075 0.78147 1\n H H22 1 0.12925 0.12925 0.78147 1\n H H23 1 0.87075 -0.00000 0.21853 1\n H H24 1 0.00000 0.17890 0.00000 1\n H H25 1 0.82110 0.82110 0.00000 1\n H H26 1 0.17890 0.00000 0.00000 1\n H H27 1 0.68952 0.46948 0.72546 1\n K K1 1 0.40786 0.40786 0.00000 1\n K K2 1 0.00000 0.59214 0.00000 1\n K K3 1 0.26272 0.00000 0.50000 1\n K K4 1 0.59214 0.00000 0.00000 1\n K K5 1 0.00000 0.26272 0.50000 1\n K 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5.045.14"""0,8,14,24,37,46,52,62,63,75,76,88""\Gamma,M,K,\Gamma,A,L,H,A,L,M,K,H""0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88;0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,1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