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#include <bits/stdc++.h>
 
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define FORD(i, a, b) for(int i = (a); i >= (b); --i)
#define VAR(v, i) __typeof(i) v=(i)
#define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define all(v) (v).begin(),(v).end()
 
#define PII pair<int,int>
#define mp make_pair
#define st first
#define nd second
#define pb push_back
#define lint long long int
#define VI vector<int>
 
#define debug(x) {cerr <<#x <<" = " <<x <<endl; }
#define debug2(x,y) {cerr <<#x <<" = " <<x << ", "<<#y<<" = "<< y <<endl; } 
#define debug3(x,y,z) {cerr <<#x <<" = " <<x << ", "<<#y<<" = "<< y << ", " << #z << " = " << z <<endl; } 
#define debugv(x) {{cerr <<#x <<" = "; FORE(itt, (x)) cerr <<*itt <<", "; cerr <<endl; }}
#define debugt(t,n) {{cerr <<#t <<" = "; FOR(it,0,(n)) cerr <<t[it] <<", "; cerr <<endl; }}
 
#define make( x) int (x); scanf("%d",&(x));
#define make2( x, y) int (x), (y); scanf("%d%d",&(x),&(y));
#define make3(x, y, z) int (x), (y), (z); scanf("%d%d%d",&(x),&(y),&(z));
#define make4(x, y, z, t) int (x), (y), (z), (t); scanf("%d%d%d%d",&(x),&(y),&(z),&(t));
#define makev(v,n) VI (v); FOR(i,0,(n)) { make(a); (v).pb(a);} 
#define IOS ios_base::sync_with_stdio(0)
#define HEAP priority_queue
 
#define read( x) scanf("%d",&(x));
#define read2( x, y) scanf("%d%d",&(x),&(y));
#define read3(x, y, z) scanf("%d%d%d",&(x),&(y),&(z));
#define read4(x, y, z, t) scanf("%d%d%d%d",&(x),&(y),&(z),&(t));
#define readv(v,n) FOR(i,0,(n)) { make(a); (v).pb(a);}
 
 
using namespace std;

const int max_n = 1e6 + 5;

vector<VI> ans;



vector<lint> grafy[10];

int ile[15][15];

int graf[15][15];

int min_cover(int n) {
	int best = n;
	vector<PII> es;
	FOR(a,0,n) FOR(b,a+1,n) if (graf[a][b]) es.pb(mp(a,b));
	FOR(i,0,1<<n) {
		bool ok = true;
		int mam = 0;
		FOR(a,0,n) if (i & (1<<a)) mam++;
		if (mam >= best) continue;
		FORE(a, es) {
			if (!(i & (1<<a->st)) && !(i & (1<<a->nd))) {
				ok = false;
				break;
			}
		}
		if (ok) best = mam;
	}
	return best;
}

int siodemka() {
	FOR(i,0,1<<3) {
		FOR(j,0,1<<3) {
			FOR(k,0,1<<2) {
				FOR(l,0,1<<1) {
					FOR(a,0,10) FOR(b,0,10) graf[a][b] =0;
					FOR(a,0,3) if (i & (1<<a)) graf[2*a][2*a+1] = 1;
					FOR(a,0,3) if (j & (1<<a)) graf[0][2*a+2] = 1;
					FOR(a,0,2) if (k & (1<<a)) graf[2][2*a+4] = 1;
					FOR(a,0,1) if (l & (1<<a)) graf[4][6] = 1;

					FOR(a,0,8) FOR(b,0,8) if(graf[a][b]) graf[b][a] = 1;
					FOR(a,0,4) FOR(b,0,8) if(graf[2*a][b] == 1) graf[2*a+1][b] = graf[b][2*a+1] = 1;
					ile[7][min_cover(7)]++;

				}
			}
		}
	}
}

int dziewiatka() {
	FOR(i,0,1<<4) {
		FOR(j,0,1<<4) {
			FOR(k,0,1<<3) {
				FOR(l,0,1<<2) {
				FOR(l2,0,1<<1) {
					FOR(a,0,11) FOR(b,0,11) graf[a][b] =0;
					FOR(a,0,4) if (i & (1<<a)) graf[2*a][2*a+1] = 1;
					FOR(a,0,4) if (j & (1<<a)) graf[0][2*a+2] = 1;
					FOR(a,0,3) if (k & (1<<a)) graf[2][2*a+4] = 1;
					FOR(a,0,2) if (l & (1<<a)) graf[4][2*a+6] = 1;
					FOR(a,0,1) if (l2 & (1<<a)) graf[6][8] = 1;

					FOR(a,0,10) FOR(b,0,10) if(graf[a][b]) graf[b][a] = 1;
					FOR(a,0,5) FOR(b,0,10) if(graf[2*a][b] == 1) graf[2*a+1][b] = graf[b][2*a+1] = 1;
					ile[9][min_cover(9)]++;
				}
				}
			}
		}
	}
}


int dwunastka() {
	FOR(i,0,1<<5) {
		FOR(j,0,1<<5) {
			FOR(k,0,1<<4) {
				FOR(l,0,1<<3) {
				FOR(l2,0,1<<2) {
				FOR(l3,0,1<<1) {
					FOR(a,0,12) FOR(b,0,12) graf[a][b] =0;
					FOR(a,0,5) if (i & (1<<a)) graf[2*a][2*a+1] = 1;
					FOR(a,0,5) if (j & (1<<a)) graf[0][2*a+2] = 1;
					FOR(a,0,4) if (k & (1<<a)) graf[2][2*a+4] = 1;
					FOR(a,0,3) if (l & (1<<a)) graf[4][2*a+6] = 1;
					FOR(a,0,2) if (l2 & (1<<a)) graf[6][2*a+8] = 1;
					FOR(a,0,1) if (l3 & (1<<a)) graf[8][10] = 1;

					FOR(a,0,12) FOR(b,0,12) if(graf[a][b]) graf[b][a] = 1;
					FOR(a,0,6) FOR(b,0,12) if(graf[2*a][b] == 1) graf[2*a+1][b] = graf[b][2*a+1] = 1;
					ile[12][min_cover(12)]++;
				}
				}
				}
			}
		}
	}
}


int main() {
	ans.pb({1});
	ans.pb({1});
	ans.pb({1, 1}) ;
	ans.pb({1, 0, 1}); 
	ans.pb({1, 0, 0, 1}); 
	ans.pb({1, 1, 0, 1, 1}); 
	ans.pb({1, 1, 0, 1, 0, 1});
	ans.pb({1, 0, 1, 1, 0, 0, 1});
	ans.pb({1, 0, 0, 0, 1, 0, 1, 1});
	ans.pb({1, 1, 0, 0, 1, 1, 1, 0, 1});
	ans.pb({1, 1, 0, 0, 1, 1, 1, 0, 0, 1});
	ans.pb({1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1});

	make(z);
	while (z--) {
		make2(n, k);
		if (n<=11) {
			printf("%d\n", ans[n][k]);
		}
		else if (k == 0 || k == n-1) printf("1\n");
		else if (k == 1) {
			if (n%4 == 0 || n%4 == 3) printf("0\n");
			else printf("1\n");
		} else if (k == 2) {
			if (n%4 == 3) printf("1\n");
			else printf("0\n");
		} else if (k== 3) {
			if (n%8 >= 4) printf("1\n");
			else printf("0\n");
		} else if (n==57 && k==32) {
			printf("1\n");
		}
		else printf("0\n");
	}
}