#include<bits/stdc++.h>
using namespace std;
struct time_helper{
#ifdef LOCAL
clock_t time_last;time_helper(){time_last=clock();}void test(){auto time_now=clock();std::cerr<<"time:"<<1.*(time_now-time_last)/CLOCKS_PER_SEC<<";along long_time:"<<1.*time_now/CLOCKS_PER_SEC<<std::endl;time_last=time_now;}~time_helper(){test();}
#else
void test(){}
#endif
}time_helper;
#ifdef LOCAL
#include"dbg.h"
#else
#define dbg(...) (__VA_ARGS__)
#endif
namespace Fread{const int SIZE=1<<16;char buf[SIZE],*S,*T;inline char getchar(){if(S==T){T=(S=buf)+fread(buf,1,SIZE,stdin);if(S==T)return'\n';}return *S++;}}namespace Fwrite{const int SIZE=1<<16;char buf[SIZE],*S=buf,*T=buf+SIZE;inline void flush(){fwrite(buf,1,S-buf,stdout);S=buf;}inline void putchar(char c){*S++=c;if(S==T)flush();}struct NTR{~NTR(){flush();}}ztr;}
#define getchar Fread::getchar
#define putchar Fwrite::putchar
int print_precision=10;bool print_T_endl=1;char print_between=' ';
template<typename T>struct is_char{static constexpr bool value=(std::is_same<T,char>::value||std::is_same<T,signed char>::value||std::is_same<T,unsigned char>::value);};template<typename T>struct is_integral_ex{static constexpr bool value=(std::is_integral<T>::value||std::is_same<T,__int128>::value)&&!is_char<T>::value;};template<typename T>struct is_floating_point_ex{static constexpr bool value=std::is_floating_point<T>::value||std::is_same<T,__float128>::value;};namespace Fastio{struct Reader;struct Writer;template<size_t id>struct read_tuple{template<typename...T>static void read(Reader&stream,std::tuple<T...>&x){read_tuple<id-1>::read(stream,x);stream>>get<id-1>(x);}};template<>struct read_tuple<0>{template<typename...T>static void read([[maybe_unused]]Reader&stream,[[maybe_unused]]std::tuple<T...>&x){}};template<size_t id>struct print_tuple{template<typename...T>static void print(Writer&stream,const std::tuple<T...>&x){print_tuple<id-1>::print(stream,x);putchar(print_between);stream<<get<id-1>(x);}};template<>struct print_tuple<1>{template<typename...T>static void print(Writer&stream,const std::tuple<T...>&x){stream<<get<0>(x);}};template<>struct print_tuple<0>{template<typename...T>static void print([[maybe_unused]]Writer&stream,[[maybe_unused]]const std::tuple<T...>&x){}};
struct Reader{template<typename T>typename std::enable_if_t<std::is_class<T>::value,Reader&>operator>>(T&x){for(auto &y:x)*this>>y;return *this;}template<typename...T>Reader&operator>>(std::tuple<T...>&x){read_tuple<sizeof...(T)>::read(*this,x);return *this;}template<typename T>typename std::enable_if_t<is_integral_ex<T>::value,Reader&>operator>>(T&x){char c=getchar();short f=1;while(c<'0'||c>'9'){if(c=='-')f*=-1;c=getchar();}x=0;while(c>='0'&&c<='9'){x=(x<<1)+(x<<3)+(c^48);c=getchar();}x*=f;return *this;}template<typename T>typename std::enable_if_t<is_floating_point_ex<T>::value,Reader&>operator>>(T&x){char c=getchar();short f=1,s=0;x=0;T t=0;while((c<'0'||c>'9')&&c!='.'){if(c=='-')f*=-1;c=getchar();}while(c>='0'&&c<='9'&&c!='.')x=x*10+(c^48),c=getchar();if(c=='.')c=getchar();else return x*=f,*this;while(c>='0'&&c<='9')t=t*10+(c^48),s++,c=getchar();while(s--)t/=10.0;x=(x+t)*f;return*this;}template<typename T>typename std::enable_if_t<is_char<T>::value,Reader&>operator>>(T&c){c=getchar();while(c=='\n'||c==' '||c=='\r')c=getchar();return *this;}Reader&operator>>(char*str){int len=0;char c=getchar();while(c=='\n'||c==' '||c=='\r')c=getchar();while(c!='\n'&&c!=' '&&c!='\r')str[len++]=c,c=getchar();str[len]='\0';return*this;}template<typename T1,typename T2>Reader&operator>>(std::pair<T1,T2>&x){*this>>x.first>>x.second;return *this;}Reader&operator>>(std::string&str){str.clear();char c=getchar();while(c=='\n'||c==' '||c=='\r')c=getchar();while(c!='\n'&&c!=' '&&c!='\r')str.push_back(c),c=getchar();return*this;}Reader(){}}cin;const char endl='\n';
struct Writer{typedef __int128 mxdouble;template<typename T>typename std::enable_if_t<std::is_class<T>::value,Writer&>operator<<(const T&x){for(auto q:x){*this<<q;if(!is_class<decltype(q)>::value)*this<<print_between;}if(!is_class<typename T::value_type>::value&&print_T_endl)*this<<'\n';return *this;}template<typename...T>Writer&operator<<(const std::tuple<T...>&x){print_tuple<sizeof...(T)>::print(*this,x);if(print_T_endl)*this<<'\n';return *this;}template<typename T>typename std::enable_if_t<is_integral_ex<T>::value,Writer&>operator<<(T x){if(x==0)return putchar('0'),*this;if(x<0)putchar('-'),x=-x;static int sta[45];int top=0;while(x)sta[++top]=x%10,x/=10;while(top)putchar(sta[top]+'0'),--top;return*this;}template<typename T>typename std::enable_if_t<is_floating_point_ex<T>::value,Writer&>operator<<(T x){if(x<0)putchar('-'),x=-x;x+=pow(10,-print_precision)/2;mxdouble _=x;x-=(T)_;static int sta[45];int top=0;while(_)sta[++top]=_%10,_/=10;if(!top)putchar('0');while(top)putchar(sta[top]+'0'),--top;putchar('.');for(int x=0;x<print_precision;x++)x*=10;_=x;while(_)sta[++top]=_%10,_/=10;for(int x=0;x<print_precision-top;x++)putchar('0');while(top)putchar(sta[top]+'0'),--top;return*this;}template<typename T>typename std::enable_if_t<is_char<T>::value,Writer&>operator<<(const T&c){putchar(c);return*this;}Writer&operator<<(char*str){int cur=0;while(str[cur])putchar(str[cur++]);return *this;}Writer&operator<<(const char*str){int cur=0;while(str[cur])putchar(str[cur++]);return*this;}template<typename T1,typename T2>Writer&operator<<(const std::pair<T1,T2>&x){*this<<x.first<<print_between<<x.second;if(print_T_endl)*this<<'\n';return *this;}Writer&operator<<(const std::string&str){int st=0,ed=str.size();while(st<ed)putchar(str[st++]);return*this;}Writer(){}}cout;}
#define cin Fastio::cin
#define cout Fastio::cout
#define endl Fastio::endl
template<class Fun>class y_combinator_result{Fun fun_;public:template<class T>explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}template<class ...Args>decltype(auto) operator()(Args &&...args){return fun_(std::ref(*this), std::forward<Args>(args)...);}};template<class Fun>decltype(auto) y_combinator(Fun &&fun){return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));}
    
void init();void solve(int tc);
signed main()
{
    init();int t=1;
    cin>>t;
    for(int tc=1;tc<=t;tc++)solve(tc);
}
void init()
{
}
// #define double long double
void solve([[maybe_unused]]int tc)
{
    int n=tc;
    cin>>n;
    if(n&1)
    {
        int nowp=0;
        for(auto q:{3,13,31,57,93,137,187,247,315,391,475,567,667,775,893,1017,1151,1291,1441,1599,1765,1939,2121,2311,2509,2717,2931,3155,3385,3625,3873,4129,4393,4665,4945,5233,5529,5835,6147,6469,6799,7135,7481,7835,8197,8567,8945,9333,9727,10131,10541,10961,11389,11823,12267,12719,13179,13647,14125,14609,15101,15603,16113,16629,17155,17689,18231,18781,19339,19905,20481,21063,21655,22253,22861,23475,24099,24731,25371,26019,26677,27341,28013,28695,29383,30081,30787,31499,32221,32951,33689,34435,35191,35953,36723,37503,38291,39085,39889,40701,41521,42349,43185,44029,44881,45743,46611,47489,48375,49267,50169,51079,51997,52923,53857,54801,55751,56709,57677,58653,59635,60627,61627,62635,63651,64675,65707,66749,67797,68855,69919,70993,72075,73165,74261,75367,76483,77605,78735,79873,81021,82177,83339,84511,85691,86879,88075,89279,90491,91711,92939,94177,95421,96675,97937,99207,100483,101769,103063,104367,105677,106995,108323,109657,111001,112351,113711,115079,116455,117839,119231,120631,122039,123457,124881,126315,127755,129205,130663,132129,133603,135085,136575,138073,139581,141095,142619,144149,145689,147237,148793,150357,151929,153509,155097,156693,158299,159911,161533,163161,164799,166445,168099,169761,171431,173109,174795,176491,178193,179905,181623,183351,185087,186831,188583,190343,192111,193887,195673,197465,199267,200001})
        {
			if(n<q){cout<<nowp<<endl;return;}
			nowp++;
        }
        cout<<"???"<<endl;
    }
    else
    {
        int nowp=0;
        for(auto q:{2,6,16,30,48,72,100,130,166,208,252,302,356,414,476,544,614,690,770,854,944,1038,1134,1238,1344,1454,1570,1690,1814,1942,2074,2212,2354,2500,2650,2806,2964,3128,3296,3468,3646,3826,4012,4202,4396,4596,4800,5006,5218,5436,5656,5882,6110,6344,6584,6826,7074,7324,7580,7842,8106,8374,8648,8926,9208,9496,9786,10082,10382,10686,10996,11308,11626,11948,12274,12604,12940,13280,13624,13972,14324,14682,15044,15408,15780,16154,16532,16916,17304,17696,18094,18494,18900,19310,19724,20142,20566,20992,21424,21860,22302,22746,23196,23650,24108,24570,25038,25510,25984,26466,26950,27438,27932,28430,28932,29438,29950,30464,30984,31508,32038,32570,33108,33650,34196,34746,35300,35860,36424,36992,37564,38142,38722,39308,39898,40492,41092,41696,42302,42914,43532,44152,44778,45408,46042,46680,47322,47970,48622,49278,49938,50602,51272,51946,52624,53306,53992,54684,55380,56080,56784,57492,58206,58924,59646,60372,61102,61838,62578,63322,64070,64822,65580,66342,67108,67878,68652,69432,70214,71002,71796,72592,73392,74198,75008,75822,76642,77464,78292,79124,79960,80800,81646,82496,83350,84208,85070,85938,86808,87684,88564,89450,90338,91232,92130,93032,93938,94850,95764,96684,97608,98538,99470,100408,101350,102296,103246,104202,105160,106124,107092,108066,109042,110024,111010,112000,112994,113994,114996,116004,117016,118032,119054,120080,121108,122142,123182,124224,125272,126324,127380,128440,129504,130574,131648,132726,133808,134896,135986,137082,138182,139286,140396,141508,142626,143748,144874,146006,147140,148280,149424,150572,151726,152882,154044,155210,156380,157556,158734,159918,161106,162298,163496,164696,165902,167112,168326,169546,170768,171996,173228,174464,175706,176950,178200,179454,180712,181974,183242,184514,185790,187070,188354,189644,190936,192234,193536,194844,196154,197470,198790,200001})
		{
			if(n<q){cout<<nowp<<endl;return;}
			nowp++;
        }
        cout<<"???"<<endl;
    }
}
/*
*/