#include <stdio.h>
#include <algorithm>
#include <iostream>
#include <map>
#include <stack>
#include <vector>
#include <memory.h>
#include <set>
#include <string.h>
#include <list>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <queue>
#include <time.h>
#define ll long long
#define forn(i,n) for(int i=0;i<n;++i)
#define rep(i,n) for(int i=1;i<=n;++i)
#define repc(i,l,r) for(int i=l;i<=r;++i)
#define mp(a,b) make_pair(a,b)
#define llf long double
#define pii pair<int,int>
using namespace std;
int tr[20005]={};
int M,n;
void init_tree(int n){
    M=1;
    while(M<n+2) M<<=1;
    //memset(tr,0,sizeof(int)*M*2);
}
void add(int pos,int v){
    pos+=M;
    while(pos){
        tr[pos]+=v;
        pos>>=1;
    }
}
int get(int l,int r){
    int res=0;
    for(l+=M-1,r+=M+1;l^r^1;l>>=1,r>>=1){
        if(~l&1) res+=tr[l^1];
        if(r&1) res+=tr[r^1];
    }
    return res;
}
int fnd(int v){
    int pos=1;
    while(pos<M){
        int lf=pos<<1;
        if(tr[lf]>=v) pos=lf;
        else{
            v-=tr[lf];
            pos=lf^1;
        }
    }

    return pos-M;
}
void nxt(int &nw,int s){
    int x=get(nw,n);

    if(x>=s){
        s+=get(1,nw)-tr[nw+M];
        nw=fnd(s);
         //cout<<s<<endl;
    }
    else{
  //  cout<<"a";
        s-=x;
        nw=fnd(s);
    }
   //cout<<nw<<"q";
    add(nw,-1);
}
void solve(){
   // scanf("%d",&n);

   // printf("%d\n",nw);
}
int ans[5005]={0,1,2,2,2,4,5,4,8,8,7,11,8,13,4,11,12,8,12,2,13,7,22,2,8,13,26,4,26,29,17,27,26,7,33,20,16,22,29,4,13,22,25,14,22,37,18,46,42,46,9,41,12,7,26,42,24,5,44,53,52,58,29,22,12,48,27,30,58,52,49,57,13,14,32,24,75,8,67,56,40,61,51,77,35,57,74,63,75,12,72,89,11,32,32,59,61,62,89,22,31,67,33,101,101,34,74,90,89,61,73,18,26,72,96,25,53,93,42,11,80,42,94,32,80,12,7,97,22,82,119,94,88,60,123,88,119,76,128,34,116,57,140,103,133,107,44,100,53,20,51,12,74,59,146,111,13,119,39,9,142,31,154,99,26,5,99,110,135,155,99,86,2,8,49,16,126,149,76,123,101,168,128,94,51,38,107,119,70,64,149,4,62,94,99,61,2,39,164,149,73,109,83,81,169,26,181,166,109,140,89,64,62,94,30,168,27,31,192,82,215,7,184,199,158,198,215,62,157,58,18,51,200,57,226,2,236,50,106,188,22,128,149,162,206,228,150,26,205,18,9,107,68,188,165,184,238,48,95,92,62,143,164,238,156,64,86,134,130,245,258,252,62,191,138,71,243,102,111,187,25,95,59,186,185,274,111,261,72,272,42,137,235,62,86,144,193,77,146,265,156,54,188,40,49,125,110,16,29,218,219,68,138,268,70,223,296,142,146,247,49,133,310,131,63,60,94,315,59,240,177,14,226,332,164,94,53,227,33,130,331,97,23,316,114,271,67,339,330,247,299,189,278,158,283,54,215,49,219,157,31,344,128,37,213,335,57,298,102,9,356,99,362,342,133,14,121,30,64,314,102,318,209,41,34,57,247,77,219,96,248,177,238,169,268,342,347,256,31,278,118,369,33,395,229,16,218,158,208,250,9,335,75,93,146,399,230,116,357,372,282,257,193,152,269,131,233,258,7,376,170,222,244,242,393,407,154,47,286,191,422,340,217,83,209,233,374,355,144,87,266,238,44,363,197,240,377,297,167,453,282,279,387,358,254,107,414,427,117,220,342,333,177,199,396,280,113,22,348,14,424,162,86,339,219,141,408,432,117,108,400,436,236,195,145,456,295,371,122,69,360,312,197,108,326,396,259,161,197,20,385,369,225,161,8,182,358,215,224,167,124,42,225,263,96,100,26,129,330,524,214,247,187,31,380,334,183,251,254,366,336,56,482,491,206,278,39,162,107,14,441,13,189,330,297,238,104,298,552,491,456,480,310,396,73,205,59,177,208,75,447,520,394,402,332,507,157,268,196,388,249,179,498,493,471,577,501,85,316,580,508,502,458,488,241,316,363,395,259,589,113,255,256,364,240,288,27,304,172,182,73,319,126,152,172,379,170,420,110,151,156,199,217,258,560,383,132,379,290,537,76,360,281,329,389,568,425,440,487,553,466,531,318,619,541,23,25,246,27,205,157,226,212,445,193,420,338,249,457,250,439,594,12,285,256,298,68,265,290,287,391,47,443,524,650,193,104,202,344,234,449,639,385,98,519,237,591,228,305,457,441,518,631,73,112,346,74,298,500,539,673,588,670,248,316,262,513,705,405,140,229,260,339,639,477,637,706,125,218,609,196,600,89,285,377,472,508,697,485,24,142,535,421,76,176,320,358,597,641,643,590,320,407,554,518,250,194,459,434,110,660,203,475,530,719,313,686,275,411,735,727,285,146,572,627,160,369,82,398,320,169,421,508,187,123,356,384,747,64,449,101,26,118,228,410,684,540,179,299,726,16,385,44,737,97,391,344,88,740,197,436,713,114,433,308,38,140,377,785,223,65,422,505,192,333,771,645,169,263,679,245,389,396,823,64,458,671,117,57,795,16,477,422,96,75,343,501,418,359,230,552,274,590,77,392,773,650,464,419,783,159,20,584,223,424,843,111,708,590,127,483,793,164,628,510,479,408,633,159,635,708,173,553,125,162,76,841,369,716,324,529,638,852,445,669,31,481,243,814,752,90,632,813,209,546,662,196,810,894,761,700,219,629,892,535,779,714,706,806,272,578,157,233,866,297,786,123,576,793,312,396,57,264,223,829,639,219,508,853,527,560,116,501,866,200,933,292,573,867,575,885,454,607,199,329,69,428,199,229,892,257,611,770,636,787,213,635,420,790,479,134,164,386,145,475,33,882,585,107,428,867,766,669,540,967,559,855,526,696,973,592,184,635,321,262,237,474,60,715,183,35,678,261,941,244,131,192,656,335,609,154,669,947,635,952,589,79,825,891,569,63,685,918,850,64,377,58,526,75,268,754,535,925,696,116,879,999,708,1019,880,984,71,923,810,394,127,450,198,409,835,348,143,524,194,178,54,545,274,840,608,604,14,819,417,787,509,965,322,1013,661,310,867,983,900,194,815,238,1061,262,1063,714,316,613,559,725,239,899,447,87,151,862,902,327,110,612,118,212,123,626,407,816,832,994,705,59,943,529,193,437,1068,660,410,982,377,838,728,1017,738,375,1023,489,81,758,433,774,938,936,734,281,1036,567,1010,477,194,830,309,939,902,984,1059,619,212,591,480,818,483,951,811,129,212,170,307,1020,781,112,958,62,125,402,181,676,726,1149,718,222,1091,506,329,988,634,843,639,436,1133,509,295,921,668,89,1023,376,96,829,471,966,1136,238,1135,283,184,1124,870,997,1024,479,1109,970,841,1009,62,387,264,875,668,118,789,320,46,765,891,692,819,614,295,1004,520,1013,914,473,280,610,775,1148,982,680,478,1017,1141,269,1093,686,550,1000,672,50,133,871,538,82,117,365,466,984,712,127,517,490,482,112,798,634,342,504,778,184,1153,656,567,748,1157,451,546,1168,1224,1252,104,836,566,321,185,322,184,282,2,681,263,836,956,389,63,1062,1195,176,65,797,737,195,360,678,394,1202,843,932,747,906,11,786,586,41,1214,244,209,1132,872,742,785,1209,961,481,183,1187,889,63,1235,1112,680,364,359,1073,1027,530,236,76,82,580,135,1057,776,424,835,960,994,860,574,341,1307,743,730,151,82,29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void init(){
    rep(t,5000){
        n=t;
        init_tree(n);
        rep(i,n){
         add(i,1);
        }
        int nw=1;
        rep(i,n) {
            int s=i%(n-i+1);
            if(s==0)s=(n-i+1);
            nxt(nw,s);
        }
        ans[n]=nw;
    }
}
int main(){
   //freopen("abc", "r", stdin);
  // freopen("u","w",stdout);
   int T;
   cin>>T;
   /*init();
   rep(i,n){
    printf(",%d",ans[i]);
   }*/
   while(T--){
        int x;
        scanf("%d",&x);
        printf("%d\n",ans[x]);
   }
    return 0;
}