1992G - Ultra-Meow - CodeForces Solution

n = int(input())
ans = [0, 4, 12, 31, 78, 184, 432, 977, 2210, 4876, 10776, 23390, 50876, 109152, 234688, 499141, 1063818, 2247268, 4756680, 9993890, 21036356, 44001904, 92198112, 192138186, 401053588, 833165464, 733439785, 591439591, 451314631, 402058007, 877857831, 757776614, 810520489, 645252787, 470374632, 96525971, 912528202, 666512366, 210929744, 599669154, 710958384, 162749437, 371979192, 45315191, 276551654, 308559856, 360804793, 837921035, 650582394, 551326373, 1614063, 141965317, 879775937, 774709371, 932799933, 770771982, 75068735, 619871554, 373842227, 936448202, 409292894, 629756827, 405099649, 41523114, 665390236, 869556586, 68489176, 241353536, 800211137, 625265094, 520546434, 315522103, 711109211, 475194852, 270649717, 435588769, 152217604, 819034419, 762229116, 841745576, 180132278, 235892077, 458348700, 681812885, 309883947, 179742650, 144518036, 660573862, 461278668, 283993404, 128510605, 139039719, 520174640, 995390014, 959160822, 308966214, 491455632, 272038766, 38170348, 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210285219, 707955715, 472016545, 93574184, 478739471, 555643339, 817089094, 26835776, 148159408, 866949217, 667641134, 617803851, 624868715, 379823776, 955221575, 430788548, 423273803, 927929240, 791055441, 907637411, 978066018, 258238159, 647147454, 502719442, 384080838, 601859833, 540097296, 414987220, 633194962, 605560450, 754096207, 864874532, 506033386, 438795258, 743974557, 194863065, 519699703, 867055245, 88500420, 487624203, 300260004, 843013453, 910924548, 791822862, 104110640, 88116372, 561882299, 643344966, 855671463, 789664405, 587666166, 488618269, 431520091, 116183944, 30552527, 73680123, 575980566, 202261401, 929030590, 59262270, 945165453, 695135308, 676026477, 571270590, 831024533, 538919624, 346840141, 201162542, 275335411, 580599876, 401068879, 921853974, 833958859, 146782568, 402647410, 720754262, 338772555, 339382878, 698130745, 43612562, 754203812, 97811940, 378349322, 114315943, 855802569, 142074341, 408805589, 539488032, 900781762, 689070940, 566869216, 683768124, 731317865, 662754505, 756174310, 312823734, 303280056, 808460603, 271704435, 351010827, 718016269, 666440366, 184857485, 291346303, 637425175, 961375682, 264629429, 275360193, 289039202, 562483751, 847994074, 633609529, 946970094, 644425733, 233425501, 468793217, 963367179, 934503211, 350619718, 732314876, 279994376, 684290512, 931202323, 359611672, 142566307, 273960760, 169862853, 295038290, 424437627, 670125590, 773668789, 832338922, 372585487, 885176371, 381804771, 323631123, 902296895, 44680114, 395956420, 752258185, 868831723, 579044819, 804641745, 974809010, 920380577, 302863241, 954426315, 757261013, 550593914, 494821388, 450537470, 475609194, 101199450, 500535930, 551138701, 294825508, 26057865, 822308182, 744504122, 569778024, 256360037, 835799222, 709915932, 712148442, 155714303, 480694939, 191439916, 59945157, 181363417, 70988141, 297558857, 428162949, 2930105, 338041157, 440742920, 210209614, 760184323, 835263756, 205432552, 670445565, 863002396, 764326622, 946455809, 46198952, 695972623, 5094624, 986293116, 425183772, 6255721, 822901651, 612558406, 466677620, 83061602, 132366457, 336195327, 537363666, 869162325, 198216691, 485054269, 809676744, 223029406, 804331643, 219335294, 871761905, 365141382, 462648018, 349269697, 628000417, 249885535, 217615162, 822123455, 515623278, 716192107, 917889714, 752300588, 446623183, 570082762, 908253580, 191497036, 455346303, 266100508, 821609940, 240098525, 637832739, 794460189, 219463120, 384640319, 291451641, 72245573, 233175172, 252604285, 859944674, 485740260, 390424922, 373710616, 423198854, 152263404, 7637303, 449799397, 712040781, 299267860, 848303675, 540075155, 79222116, 655677834, 307642913, 901519229, 788187459, 181198872, 302993776, 325688512, 413761152, 977529846, 4596197, 615183694, 428513457, 475300808, 743185913, 37988172, 246313539, 862191532, 405731830, 185462780, 96320659, 145482169, 192544741, 412296028, 430913668, 644263276, 713813007, 966134363, 633414553, 240565944, 285715231, 567967074, 354267520, 525531984, 924397477, 538362293, 570058622, 362868057, 699072272, 837320513, 567985651, 718442834, 10264189, 267412925, 828339976, 512898145, 199852780, 94170067, 884566122, 140553330, 66010591, 644212640, 428041004, 297461574, 153386065, 407548614, 48948903, 463411761, 862230243, 287005068, 315637020, 909328632, 785164800, 656769995, 179570155, 167469497, 799059689, 172873864, 202230494, 507781514, 441494092, 156343502, 16411274, 457955989, 730809065, 258251453, 776091261, 871802890, 781959186, 304053573, 761520798, 265619265, 144893131, 274233534, 3085479, 404371963, 627217584, 862764868, 999424368, 263035877, 621650303, 895416406, 173146994, 621484331, 772225432, 427426989, 971881072, 693846494, 855801357, 124456453, 121346396, 380978887, 251691734, 207982316, 374900486, 329665901, 495075218, 939994661, 222962979, 984175683, 340246029, 434797187, 357173068, 519567771, 989450332, 532168149, 865595458, 976953661, 158943955, 663404393, 146955360, 268162453, 816911237, 915486494, 953318298, 71468148, 632317564, 993390382, 944305815, 368654349, 567408930, 59571350, 439543635, 366544206, 14692138, 113533770, 353482465, 669819393, 845298479, 138417486, 299473758, 394080417, 878715978, 781242025, 924704619, 247466401, 943815099, 64869054, 925267289, 884079651, 950275998, 263192739, 254852283, 689566440, 293000100, 754242738, 163954377, 219504584, 60884807, 957930923, 403364402, 551138372, 52287003, 754524849, 309090755, 299618614, 799401491, 849982019, 500621076, 962363878, 127355929, 757341944, 325196622, 519328950, 280708864, 331098685, 630401247, 231064870, 334945248, 861442449, 214146923, 216467500, 397983142, 354226409, 568645386]
for i in range(n):
    s = int(input())
    print(ans[s])