#include<bits/stdc++.h>
using namespace std;
constexpr int rec[]={1,563140137,458117706,1032536336,1313154238,1065558995,1119756554,1398890905,233290868,1320661042,1382427052,863734659,1263577688,612714835,374391399,1014925926,364375842,725615769,1049037052,281816893,1017491989,137084247,946682350,1026151464,600498541,181877270,81277110,698375135,556091351,884850112,611248072,1468477852,1064105806,293978709,959985194,751938922,26860694,1337535934,1190780916,706812815,640567301,106897817,645677618,782544393,613076159,165021792,121624543,639290794,404585707,959779703,502178029,100968817,945512024,1276753247,940755369,156178546,5190348,871665421,1383915986,1029275223,839180281,242573232,911591724,375938948,812897209,163870857,916051966,1328686609,1323140555,759170337,1071671626,750856666,317461893,112517043,617434807,940927633,493159841,1044070111,401052148,1130793212,102856612,987126637,102674306,1052385652,291798722,147543308,572015667,249188851,168758064,1100346616,1337817164,1286948445,711594548,1143461400,556559053,1492274883,1166913713,319367998,830786635,693344366,855146638,1375167084,300777691,1494829489,147923757,1062529657,681229562,996044959,774248249,384965083,1257937890,94294278,554556738,503978209,371655295,1404866256,945049275,284657636,991209338,1257544089,1472813198,1039659828,372127637,99991802,695932799,938780366,550823934,532522215,301011483,1456530021,673187360,52965552,1235401401,1049540984,497107302,289193742,993940580,1101473581,193059543,1021020593,469088115,1074811579,1069488931,461635731,301181970,1248689865,326151439,1333913474,878202908,673401039,1089490863,263276554,223006745,1161427704,1419611345,662043070,764672370,302572111,626484222,448803150,965074887,173819067,1202321574,1068709246,230260687,348529317,938761728,953256414,1420311551,129385075,1436863972,443408635,1445597605,1458617193,91025759,119483842,1382450899,557737610,1379494673,726885977,1270203891,1429441177,565440498,4190303,1032116589,421705181,536301894,1185143681,1388378823,225753062,452640348,808811573,801341930,1090134062,833801026,1021806731,1215788242,229836701,254205845,1493037600,1329533473,1085380366,1332645992,610939805,1471691211,568436769,166373763,1307085651,802367603,1402664252,1062687880,675779717,936250584,844661970,571333904,1283313964,1382256328,62714255,1308378991,948595939,1488629753,633627276,551676974,758455040,502043374,1170279140,1278749172,1148664172,331467655,712005961,354894197,138653110,1099162658,996125924,1482760038,978823611,1414410434,937492230,1362021814,987119972,936417727,538846410,1064997344,629691808,1233859265,660486041,1083931802,1049703672,406697398,1195318502,370119267,182645374,664397685,772484150,1343532311,206638284,536474940,1334541624,987632583,1374980122,1292189733,412482466,279939208,751794535,418049662,1435209918,1326717648,1362486658,320547857,408409761,1184866964,76996618,514589835,972522414,924648965,1202955175,623132687,834375527,511797332,756743476,1415494638,1200547534,747801893,740091065,532456188,1372717649,426547897,889680153,333039999,906325746,727695410,1429213273,779592981,71506905,918912469,426252266,66364675,1069366507,156152047,1207619932,1421707616,1221060404,1361924677,578595827,251085771,476418834,1213419721,40465876,1129016061,1457369374,794364161,641295968,868777159,1287669857,1224858982,510219692,642555996,47899986,353988642,525391332,643798619,1019361170,1169133883,415127687,344512221,1294133012,506365506,1272491098,1365127052,1160966027,592628251,157154428,807195168,1435131537,1045040339,718483382,154724870,669962369,1047109700,533420451,912791720,265342311,107595746,465247447,88825442,1035262437,1480401891,870488253,429997319,992138287,272162237,201757507,1425800863,884387917,753813962,530662954,229684004,769480384,560869584,1382820954,1215410164,465745394,1481925139,757017479,1402088041,67619510,1213720173,1422040049,1238305327,937422516,513138661,1380910331,955562614,509297822,363282941,728670557,744737561,289673137,615690925,336064904,1208846105,526859235,1403487154,1450071671,823172056,1248069980,49155041,112479445,490338004,443211431,1443775677,704271461,745416823,171028147,427742741,413024366,1050009971,1405935511,791511085,288070321,978670869,572120414,1162080854,1182539674,1494957007,1106299376,280337341,265396693,683779812,454289637,952808894,650495448,1494692075,1074077531,1309296893,91817599,749593564,34949221,763821763,1224420610,1150126489,949259004,1079520740,158751734,26652855,1228664572,1191418928,1209589369,752404869,343158538,526277964,912334529,662885759,405372697,301885446,796809525,1018440604,1495111873,194983231,850983939,1077658550,226950752,430344792,1050016998,646594054,1311768842,828385235,1237401889,182884591,1364560720,291685635,142216820,696760046,596876699,1216504558,1489140550,81649011,1351120607,756442022,593623397,916331031,1087265579,1231460397,523771632,132637806,1134283201,691039074,1309897828,538078147,1098171549,763134000,643847633,981615434,114527824,219966353,147448658,1125224206,896054741,1183531125,656036461,320161186,732225611,667258843,574588601,328937500,495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constexpr int M=1e5+5,mod=1500000001,B=6e4;
int qpow(int x,int n){
	int s=1; while (n){
		if (n&1) s=1ll*s*x%mod;
		x=1ll*x*x%mod; n>>=1;
	} return s;
}
int calc(int n){ int ans=rec[n/B];
	for (int i=n/B*B+1;i<=n;i++) ans=1ll*ans*i%mod;
	return ans;
}
void solve(){ int n,m;
	scanf("%d%d",&n,&m);m++;
	int ans=1; while (m){
		int low=m&-m;m-=low;
		int ql=(n^m)&~(low-1),qr=ql+low-1;
		ans=1ll*ans*calc(qr)%mod*qpow(calc(ql-1),mod-2)%mod;
	}
	printf("%d\n",ans);
}
int main(){int T;scanf("%d",&T);while (T--) solve(); return 0;}