存代码，题解见 链接
CODE
#include <bits/stdc++.h>
using namespace std;
int biao[] =
{0,510449513,495061266,226491030,634685072,416495341,622433855,515371779,357921372,873291668,864422505,244143480,128436544,941257754,367900057,12274495,931602511,219570131,793522901,424243793,165736797,353311552,592734296,986878535,677748474,45513528,358081215,856122652,330742624,11978314,907969740,452707782,233705792,385513746,753430728,998842553,752492443,855641031,745578321,13447582,265853810,176156019,955512458,145831791,287984286,234752773,866894950,123033105,146074373,414721266,211535148,31417664,73453267,51357566,893965184,218147054,409513200,312391305,384204047,164482310,977778800,668183958,876546882,385223263,399703865,155307713,769059546,846133218,395699018,736347168,504218398,864925539,7348130,40343052,323014902,355562371,792235771,67222704,388823273,506030177,657514755,828866714,163943444,307156587,522268131,734214987,330600050,415102041,732369989,958639411,698555650,543848543,205405205,609646251,427902610,428951372,24068614,108254283,375285950,554889225,249033323,823876456,187963345,515800679,238570548,285148375,454563848,788860551,402401317,845104027,274605739,715411803,534752496,137179100,179598563,338808663,781062916,67435444,806479724,149879577,994414699,338575445,528856067,321958428,614949006,608885782,778315559,267758023,309547532,874857382,56743518,594482560,365442262,222389338,90475704,402157044,63367920,11606592,776048109,515808143,832425005,423219129,834082086,492089730,755114647,829118770,50121783,622072440,383229016,172691624,354377916,440777386,888064163,163488849,268342230,435655567,909212173,544971281,717363536,666527863,159046301,297168853,304502285,481645206,511882109,162937071,139859023,807380480,26948473,255447522,184431844,187877423,308529347,216342877,686969760,756250834,283476365,648767475,797623046,86584246,200861698,258295295,211862206,982048020,906502274,901660772,940168655,463452843,985723042,153261065,972009731,750627825,438184021,256477039,805403058,869619483,472526183,550881607,143527490,21640478,927422185,647960282,459439689,611783491,862048350,135734976,753319882,766179650,6353477,161667681,435907069,74627262,426340528,14379051,453569008,741119707,204275908,241203965,972554064,963493742,489957190,360840131,863819000,702182142,187668384,906042258,381172096,654198674,689069078,912004255,791698432,462834573,325429359,232440775,290767548,306799763,853497372,62327731,393908668,834826966,508431604,21177341,983574821,890252585,821284257,108542774,6721305,15957617,825587379,329271903,240263064,570969128,992074536,396829288,66422736,576987022,738492836,849199365,862878342,972637390,485649473,704461398,55528617,229497710,683537230,680622326,430657706,996592916,51917624,212873799,717071900,502751490,652792357,85267889,785383328,624151210,598138378,761830774,285925304,12608870,983811862,172840580,358348933,321299943,621552173,707663439,173523851,355252572,47194692,40332383,521406514,509123754,165318107,849030687,149851460,975029971,200272018,431483642,56473545,731054112,587205928,359714155,444783584,101775526,725866983,608133297,702484199,284214789,443642729,972162571,296993162,466990963,802755903,578469911,42564017,721500554,928100865,246299009,282709524,966434273,993238219,813723494,366254747,538374349,454931268,51262505,39177861,546942930,744186365,890050882,71578037,702100964,150260073,819164935,695676350,360906467,287663219,559267513,557383628,599198883,184731867,23656449,243079395,730466445,647856445,833028231,300800750,517060679,630689508,675526828,82224834,486147848,144289956,644402809,202831534,268408365,440465913,779033541,644922039,322277945,146356515,369747890,809694192,15651784,920785540,929728098,398019681,552857087,216760687,885217807,206473409,186545862,134052117,293873582,937110679,863220082,929977913,661317833,239649838,691487458,280428957,561151427,959667623,559883686,194603443,226748229,334784733,736432269,288571884,896333554,877487170,566774862,246219926,639511755,359720967,994174733,560968183,250246836,393722689,480206495,27648222,969380176,163635920,596437578,46081301,808783571,794962380,817013177,237740693,934331179,74852114,641221210,301842509,167020719,139144799,775821876,881876593,16165454,609222491,50252686,135151256,178241922,949307602,182055295,615343120,927497455,508641614,843429760,325218057,345261804,765008343,203044195,922035933,304559481,131738901,887165205,783016013,101611371,400807206,721218119,519437663,653474236,153201615,80494292,507717442,957846611,468553180,635717914,884892236,361370002,528227783,51054710,901634702,18071114,691492910,414230982,348928385,424631737,859864252,990380731,666735328,937409647,525499302,288089369,860508567,597180915,855499432,528913314,114791137,713899023,42744559,359280095,574682855,686375784,483686281,380932379,780112131,498052316,157166468,659165862,348308161,390728214,796619581,27349461,641385821,492753477,183826132,557131234,337717070,864842924,583552826,766253810,373533887,570306606,989444451,53005468,713974341,808904847,28552525,739535010,846505392,949198581,757279029,938520848,378597498,685010707,9934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4403,816538087,151284840,107661209,732494458,74281848,493428287,402278749,720873627,869542938,577198136,145165113,327272338,366158975,671809729,861998053,80792511,933459367,928424957,410694883,241132031,142976596,639326721,727917566,435962734,904992332,755293812,189386058,967354599,415695746,183783578,346519201,126208008,875874452,255739966,762222522,319382985,243861777,139896785,589798702,386612177,617875864,218809919,746762772,638855906,240240406,496481086,615933492,17492523,339207205,770818623,100040858,204858628,138632577,659503117,163277216,400107466,60954951,575131221,40781330,816279961,637748994,615197021,936516872,155450759,502139451,468699525,669130335,107666429,463266908,679320901,99634520,728880585,924499776,820930852,2438385,966336005,765587913,592018344,302974160,313863436,953490990,689445012,933875200,375577106,429761970,434601721,903737360,56978194,333714523,588648240,333011689,603109166,550791849,324211302,255617732,559846301,105797723,28078572,392738567,180953751,874782636,615687145,871182463,725063672,386574242,753960885,940059014,445215046,789663670,115249126,686163748,22915443,797331646,109042611,240892019,179504813,296099830,534073354,599704,919492059,245424024,885011019,242953746,519076000,460078693,335599952,782225631,960344451,963798160,428863879,382981253,389182485,982477773,431461796,986954262,256037618,608818637,386533937,762712235,301022867,404095953,521954013,603811587,594439155,408890772,589378271,527573901,481484215,923396767,843401349,865192188,61667016,804419215,669594524,923824797,684198593,577654694,12594079,473270153,771111933,944726828,502847367,173433855,998514707,9832347,868345122,289857478,48186128,175830050,760687683,36318272,61127688,290435409,324603857,274595200,652793445,765672629,847431696,66515234,705217284,761840598,707686355,949626493,548639393,413796116,594283679,393020210,463009544,14262306,489066646,892385075,795341152,320712334,919891802,911562592,726505952,62632632,48695411,571667820,606113068,295328934,434242000,998940579,35734014,255810783,369938893,394173895,110938186,687172273,577977186,689931874,284024922,776744328,521166866,162737503,11589397,440262369,385993745,744750435,299162463,786051532,651971699,375760533,617624320,716711358,24795698,378671786,893079955,131565099,771504286,513093994,157594375,960179405,729746743,588372453,251073938,347267169,727249191,591922502,629487791,72288304,648535157,837270389,896679015,702912586,421875936,276656509,187964905,28719546,912682236,919945053,139802758,970628991,576372216,654715822,342116348,768859958,396916647,130117321,690015904,206391445,179751763,151196900,649200852,161553498,236378337,79161126,506467929,637638252,289464350,756306808,533443975,334489715,723383977,264432326,909130510,64476395,207539041,504287108,349483324,8869718,126816655,735303458,984248551,601192338,88217792,940626855,299386396,787715170,341204386,206676817,712820895,45404711,35444544,412892915,546837483,50933173,202380200,748299039,600340368,492847403,396152079,60347702,144849509,7033409,576154202,103571852,318341008,13830171,428822423,644104457,499894388,35128660,147503773,337412840,529489672,55635155,142775671,236132328,171043451,679731656,154121984,418408819,481409101,404288935,731194065,771229349,11045087,962625050,668778691,392646422,396223117,799068099,889374265,220141601,681306445,541226603,902189981,396699137,799858882,511904564,368440221,101685527,191227155,617768487,54186796,472446116,556623367,253323074,368969203,489482566,251542783,821350251,680592584,892993821,393178217,968068239,209396735,863480510,483976360,245921995,741765299,869107694,524490796,666889860,790485595,565996419,604727849,949446538,729377170,256151540,861122726,514871350,214521579,867973744,661122182,185362730,71750985,681276367,862778954,149833465,327222347,469620107,137814958,31169641,39204599,22272959,343226648,508637796,979203378,176665131,609651759,809447996,483277919,842600481,292634998,490410838,6525507,778997864,607064451,359176597,85255683,985420294,677866479,909854394,56877706,976290821,505727187,98981989,324980475,492435644,641091091,445130243,421457827,439010601,899501973,291099409,690553661,413870646,169793523,552970302,362485471,14976817,108498701,394481989,223540988,424446688,980341448,429788445,494034003,377903138,527750353,455507748,733895705,728930543,184324864,1605440,327688125,242686483,24236147,163648402,907614401,434584545,871136028,157559447,7539992,721957762,440847124,298282012,269783650,783333338};
const int mod = 1000000007;
const int lens = 200000;
inline int qpow(int a, int b) {
int re = 1;
for(;b;a=1ll*a*a%mod,b>>=1)if(b&1)re=1ll*re*a%mod;
return re;
}
int pr[lens+5], inv[lens+5];
inline int f(int n) {
int re = biao[n/lens], i = n/lens*lens; n %= lens;
if(!n) return re;
pr[0] = 1;
for(int j = 1; j <= n; ++j) pr[j] = 1ll * pr[j-1] * (i+j) % mod;
int tmp = qpow(pr[n], mod-2);
for(int j = n; j >= 1; --j) {
inv[j] = 1ll * pr[j-1] * tmp % mod;
tmp = 1ll * tmp * (i+j) % mod;
}
inv[n+1] = qpow(i+n+1, mod-2);
inv[n+2] = qpow(i+n+2, mod-2);
for(int j = 1; j <= n; ++j)
re = (re + 1ll * (i+j-1)*inv[j+1]%mod*inv[j+2]%mod) % mod;
return re;
}
int main () {
int T, n, m; scanf("%d", &T);
while(T--) {
scanf("%d%d", &n, &m), --n;
int S = 1ll * ((f(n) - f(m))%mod + mod) % mod * (n+2) % mod * (n+1) % mod;
printf("%lld
", (n + 2ll * qpow(n+1, mod-2) % mod * S % mod) % mod);
}
}