Counting Sequences I

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#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn = 1e5 + 5;
const int mod = 1e9 + 7;
int cas, n, upl, m;
// int fac[3005], ifac[3005];

// inline int q_mod(int a, int b, int q) {
// int ret = 1;
// for(; b; b >>= 1) {
// if(b & 1) ret = 1ll * ret * a % q;
// a = 1ll * a * a % q;
// }
// return ret;
// }

// inline void init() {
// fac[0] = ifac[0] = 1;
// for(int i = 1; i <= 3000; ++ i) fac[i] = 1ll * fac[i - 1] * i % mod;
// ifac[3000] = q_mod(fac[3000], mod - 2, mod);
// for(int i = 3000 - 1; i >= 1; -- i) ifac[i] = 1ll * ifac[i + 1] * (i + 1) % mod;
    
// }
// // ll ans;
// int ci[6000];

// void dfs(int cnt, int p, ll sum, ll mul) {
// if(mul > 6000 || mul - sum > 3000) return ;
// if(cnt == upl) {
// int t1 = n > 12 ? n - 12 : 0;
// if(sum + t1 == mul) {
// ll tmp = 1ll * fac[n] * ifac[ci[1] + t1] % mod;
// for(int i = 2; i <= 3000; ++ i) tmp = tmp * ifac[ci[i]] % mod;
// ans = (ans + tmp) % mod;
// }
// return ;
// }
// if(mul > 6000) return ;
// for(int i = p; i <= min(6000 / mul, 3000ll); ++ i) {
// ci[i] ++;
// if(ci[i] < 12) dfs(cnt + 1, i, sum + i, mul * i);
// ci[i] --;
// }
// }
// int dp[3005];
int ans[3005] = {0, 0,1,6,12,40,30,84,224,144,135,715,627,1326,1274,420,480,2720,5202,16530,3800,2590,924,16951,552,9300,68575,82134,21168,24360,165300,3720,45632,199584,2244,22015,2520,29304,77330,57798,398320,1285760,4255062,81270,41624,48510,97290,1479889,106032,11760,180075,132600,3254004,429936,1267866,38115,2293060,20948298,40667106,299425,208860,2325320,344162,7394058,7636608,82875520,8580,305118,4013836,171258,173880,11850965,70320672,1866318,14396330,4872900,17100,895356,468468,499122,252800,20509200,7012845,1391827,578676,25229190,26418340,211474989,784847184,497121123,15339150,49140,393484,1972158,821748,2924575,53598240,55872,45638306,15086610,753390000,50040450,417498852,18788230,1649648,1168440,1202040,63736369,2461428,68719050,162308630,564673856,24864,5916680,12882,83753235,89751520,869785371,124424274,827222264,916501173,142157979,2679303,3661464,39416252,40718500,31500,4096512,135201152,132178560,5399940,191928100,764103895,303683688,755446880,403450390,878166801,7620488,63013698,181404174,188003060,1490370,40044,7198477,2965248,73807320,222581380,897305600,3241644,486312756,838638473,668099857,87240552,277345965,3652110,279481895,569777520,909958004,17438618,102598248,6080160,331917600,704201656,12886128,6522608,11108130,856576600,6916639,773139192,393768648,453484704,5029110,10088316,597113652,30102,2755725,479740800,6824611,490800468,6727676,453731610,810770040,174453052,127995139,76742980,579462920,6400260,197469008,621276832,63131059,3519180,655161515,315686842,28570176,246855106,708291090,7567560,468395047,15329358,7998606,803840600,57548093,624161197,809432154,689858065,197982428,630455180,357065367,320910720,936082576,87780,963476640,74767476,379431305,9754548,380663735,10031040,156955682,25639852,20815512,5347980,198166963,886901487,225570529,242056473,501024386,533868153,603037815,920524624,245275990,718210895,212520,12540528,543375195,461026027,32361615,540843679,392427831,168324999,208713599,700359503,28225920,380401421,67909312,81646278,630637420,1293931,889031838,949548624,259817649,549967486,898626104,686911972,56583450,24419560,817851652,16842240,891525490,17040642,862442760,43568980,561311662,17984466,437032941,809577120,18959160,388056851,262408964,560202110,38713404,657023276,821728799,818922105,190585256,635328541,948130242,157183696,704797050,309867908,277830386,51523419,134870012,749747645,184738215,448245518,318027562,275886879,333883532,395070958,48524256,475894014,49114980,236370917,784569639,979573108,921821882,773970379,110038107,105145128,235499832,26910000,64267522,208632348,110356236,214584532,461333294,560051640,903997718,590609103,218012655,780213045,692419287,439786580,279209594,383153779,93074310,814843017,988535918,205584668,145543973,54218796,420841210,489026136,101531951,476789328,74482200,664404815,556029323,35179968,106293320,217140,72747180,127035152,215692694,111253064,388964221,61191507,848268878,659514248,487518216,265388569,771127213,748161940,681164077,541338475,70311036,85182422,882943718,804827001,59357303,21376250,43611750,43737408,807625711,44111586,713948361,860057995,984432333,137008032,883198273,305220824,581376307,283279826,758860975,670467540,619538990,874650824,656833322,504482780,851303417,791600048,321615528,207289111,969710687,224897578,969569932,975009846,12704182,147213128,181988425,550724752,138047730,536076394,19423120,474768550,534347422,277774654,873715625,305094536,448946783,855709629,60538530,209522824,693786590,927479183,18760111,123571800,467930686,548061617,339961478,377197825,929122116,510292238,260505648,898560496,606820688,73823363,167968493,753754165,643514715,617757502,468134774,139190904,429596203,499872283,804316856,158784988,500436898,330820304,833779290,309908865,798032191,19144628,330236216,227597688,791835097,548987726,78035958,933622580,464458901,606535622,336637759,837971159,466100351,501035131,722499131,998404247,40098260,401772714,106748090,42495200,86735880,877149,383556205,196692,263769300,896584125,250541410,706926755,322185268,663522473,595974710,915622764,342038221,55675413,585447394,719165182,809889789,569918083,97217522,72682038,663560186,103370673,909754905,634643969,791101815,701424289,688651692,481800017,873272360,331481464,944159323,607048176,450140201,307580852,633067279,507471325,680972531,932698257,847108034,329935200,841861733,931230222,86653572,298186557,317306433,382511484,941206421,998651093,269587042,223414638,901347339,381257681,299192826,716507553,865165128,88498570,843173027,268662409,919135809,671588778,222222296,816798687,794783532,382042584,329002916,363573101,606409032,111669003,820596994,868832953,599417016,293953140,806616576,764889370,63761101,853583648,276375792,65522872,998575523,883199315,676000997,149580165,348663191,678678481,255020512,485229036,109282577,448477583,149990544,76877264,304513527,150568236,655124776,151988148,534097455,270093859,221569978,619992276,544538574,150812922,389192157,202124556,637466796,904314865,928886810,154958903,986123802,493231088,174281319,670239135,620110933,863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// inline void sol() {
// cout << "ans[3005] = {0, 0, 0";
// for(int i = 2; i <= 3000; ++ i) {
// ans = 0;
// upl = min(i, 12);
// n = i;
// dfs(0, 1, 0, 1);
// dp[i] = ans;
// cout << "," << ans;
// fprintf(stderr ,"%d %d\n", i, ans);
// }
// cout << "};";
// }

signed main() {
	// freopen("data.out", "w+", stdout);
	// init();
    // sol();
	// printf("123");
	scanf("%d", &cas);
	for(int tt = 1; tt <= cas; ++ tt) {
		scanf("%d", &n);
		// upl = min(n, 14ll);
		//ans = 0;
		// if(dp[n]) ans = dp[n];
		// else dfs(0, 1, 0, 1);
		printf("%d\n", ans[n]);
		// dp[n] = ans;
	}
	return 0;
}