結果

問題 No.148 試験監督（3）
ユーザー heno239heno239
提出日時 2020-08-07 17:52:46
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 106 ms / 1,000 ms
コード長 17,467 bytes
コンパイル時間 3,453 ms
コンパイル使用メモリ 202,868 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-09-24 13:19:47
合計ジャッジ時間 5,110 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
このコードへのチャレンジ
（要ログイン）

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 29 ms
6,812 KB
testcase_01 AC 38 ms
6,940 KB
testcase_02 AC 91 ms
6,944 KB
testcase_03 AC 101 ms
6,940 KB
testcase_04 AC 106 ms
6,940 KB
testcase_05 AC 82 ms
6,944 KB
testcase_06 AC 69 ms
6,944 KB
testcase_07 AC 104 ms
6,940 KB
testcase_08 AC 90 ms
6,940 KB
testcase_09 AC 5 ms
6,940 KB
testcase_10 AC 4 ms
6,944 KB
testcase_11 AC 4 ms
6,944 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acos(-1.0);

ll mod_pow(ll x, ll n, ll m) {
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	ll n;
	modint() :n(0) { ; }
	modint(ll m) :n(m) {
		if (n >= mod)n %= mod;
		else if (n < 0)n = (n % mod + mod) % mod;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }

const int max_n = 1 << 17;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}

const int b = 1000000;
vector<modint> fs = { 1,641102369,578095319,5832229,259081142,974067448,316220877,690120224,251368199,980250487,682498929,134623568,95936601,933097914,167332441,598816162,336060741,248744620,626497524,288843364,491101308,245341950,565768255,246899319,968999,586350670,638587686,881746146,19426633,850500036,76479948,268124147,842267748,886294336,485348706,463847391,544075857,898187927,798967520,82926604,723816384,156530778,721996174,299085602,323604647,172827403,398699886,530389102,294587621,813805606,67347853,497478507,196447201,722054885,228338256,407719831,762479457,746536789,811667359,778773518,27368307,438371670,59469516,5974669,766196482,606322308,86609485,889750731,340941507,371263376,625544428,788878910,808412394,996952918,585237443,1669644,361786913,480748381,595143852,837229828,199888908,526807168,579691190,145404005,459188207,534491822,439729802,840398449,899297830,235861787,888050723,656116726,736550105,440902696,85990869,884343068,56305184,973478770,168891766,804805577,927880474,876297919,934814019,676405347,567277637,112249297,44930135,39417871,47401357,108819476,281863274,60168088,692636218,432775082,14235602,770511792,400295761,697066277,421835306,220108638,661224977,261799937,168203998,802214249,544064410,935080803,583967898,211768084,751231582,972424306,623534362,335160196,243276029,554749550,60050552,797848181,395891998,172428290,159554990,887420150,970055531,250388809,487998999,856259313,82104855,232253360,513365505,244109365,1559745,695345956,261384175,849009131,323214113,747664143,444090941,659224434,80729842,570033864,664989237,827348878,195888993,576798521,457882808,731551699,212938473,509096183,827544702,678320208,677711203,289752035,66404266,555972231,195290384,97136305,349551356,785113347,83489485,66247239,52167191,307390891,547665832,143066173,350016754,917404120,296269301,996122673,23015220,602139210,748566338,187348575,109838563,574053420,105574531,304173654,542432219,34538816,325636655,437843114,630621321,26853683,933245637,616368450,238971581,511371690,557301633,911398531,848952161,958992544,925152039,914456118,724691727,636817583,238087006,946237212,910291942,114985663,492237273,450387329,834860913,763017204,368925948,475812562,740594930,45060610,806047532,464456846,172115341,75307702,116261993,562519302,268838846,173784895,243624360,61570384,481661251,938269070,95182730,91068149,115435332,495022305,136026497,506496856,710729672,113570024,366384665,564758715,270239666,277118392,79874094,702807165,112390913,730341625,103056890,677948390,339464594,167240465,108312174,839079953,479334442,271788964,135498044,277717575,591048681,811637561,353339603,889410460,839849206,192345193,736265527,316439118,217544623,788132977,618898635,183011467,380858207,996097969,898554793,335353644,54062950,611251733,419363534,965429853,160398980,151319402,990918946,607730875,450718279,173539388,648991369,970937898,500780548,780122909,39052406,276894233,460373282,651081062,461415770,358700839,643638805,560006119,668123525,686692315,673464765,957633609,199866123,563432246,841799766,385330357,504962686,954061253,128487469,685707545,299172297,717975101,577786541,318951960,773206631,306832604,204355779,573592106,30977140,450398100,363172638,258379324,472935553,93940075,587220627,776264326,793270300,291733496,522049725,579995261,335416359,142946099,472012302,559947225,332139472,499377092,464599136,164752359,309058615,86117128,580204973,563781682,954840109,624577416,895609896,888287558,836813268,926036911,386027524,184419613,724205533,403351886,715247054,716986954,830567832,383388563,68409439,6734065,189239124,68322490,943653305,405755338,811056092,179518046,825132993,343807435,985084650,868553027,148528617,160684257,882148737,591915968,701445829,529726489,302177126,974886682,241107368,798830099,940567523,11633075,325334066,346091869,115312728,473718967,218129285,878471898,180002392,699739374,917084264,856859395,435327356,808651347,421623838,105419548,59883031,322487421,79716267,715317963,429277690,398078032,316486674,384843585,940338439,937409008,940524812,947549662,833550543,593524514,996164327,987314628,697611981,636177449,274192146,418537348,925347821,952831975,893732627,1277567,358655417,141866945,581830879,987597705,347046911,775305697,125354499,951540811,247662371,343043237,568392357,997474832,209244402,380480118,149586983,392838702,309134554,990779998,263053337,325362513,780072518,551028176,990826116,989944961,155569943,596737944,711553356,268844715,451373308,379404150,462639908,961812918,654611901,382776490,41815820,843321396,675258797,845583555,934281721,741114145,275105629,666247477,325912072,526131620,252551589,432030917,554917439,818036959,754363835,795190182,909210595,278704903,719566487,628514947,424989675,321685608,50590510,832069712,198768464,702004730,99199382,707469729,747407118,302020341,497196934,5003231,726997875,382617671,296229203,183888367,703397904,552133875,732868367,350095207,26031303,863250534,216665960,561745549,352946234,784139777,733333339,503105966,459878625,803187381,16634739,180898306,68718097,985594252,404206040,749724532,97830135,611751357,31131935,662741752,864326453,864869025,167831173,559214642,718498895,91352335,608823837,473379392,385388084,152267158,681756977,46819124,313132653,56547945,442795120,796616594,256141983,152028387,636578562,385377759,553033642,491415383,919273670,996049638,326686486,160150665,141827977,540818053,693305776,593938674,186576440,688809790,565456578,749296077,519397500,551096742,696628828,775025061,370732451,164246193,915265013,457469634,923043932,912368644,777901604,464118005,637939935,956856710,490676632,453019482,462528877,502297454,798895521,100498586,699767918,849974789,811575797,438952959,606870929,907720182,179111720,48053248,508038818,811944661,752550134,401382061,848924691,764368449,34629406,529840945,435904287,26011548,208184231,446477394,206330671,366033520,131772368,185646898,648711554,472759660,523696723,271198437,25058942,859369491,817928963,330711333,724464507,437605233,701453022,626663115,281230685,510650790,596949867,295726547,303076380,465070856,272814771,538771609,48824684,951279549,939889684,564188856,48527183,201307702,484458461,861754542,326159309,181594759,668422905,286273596,965656187,44135644,359960756,936229527,407934361,267193060,456152084,459116722,124804049,262322489,920251227,816929577,483924582,151834896,167087470,490222511,903466878,361583925,368114731,339383292,388728584,218107212,249153339,909458706,322908524,202649964,92255682,573074791,15570863,94331513,744158074,196345098,334326205,9416035,98349682,882121662,769795511,231988936,888146074,137603545,582627184,407518072,919419361,909433461,986708498,310317874,373745190,263645931,256853930,876379959,702823274,147050765,308186532,175504139,180350107,797736554,606241871,384547635,273712630,586444655,682189174,666493603,946867127,819114541,502371023,261970285,825871994,126925175,701506133,314738056,341779962,561011609,815463367,46765164,49187570,188054995,957939114,64814326,933376898,329837066,338121343,765215899,869630152,978119194,632627667,975266085,435887178,282092463,129621197,758245605,827722926,201339230,918513230,322096036,547838438,985546115,852304035,593090119,689189630,555842733,567033437,469928208,212842957,117842065,404149413,155133422,663307737,208761293,206282795,717946122,488906585,414236650,280700600,962670136,534279149,214569244,375297772,811053196,922377372,289594327,219932130,211487466,701050258,398782410,863002719,27236531,217598709,375472836,810551911,178598958,247844667,676526196,812283640,863066876,857241854,113917835,624148346,726089763,564827277,826300950,478982047,439411911,454039189,633292726,48562889,802100365,671734977,945204804,508831870,398781902,897162044,644050694,892168027,828883117,277714559,713448377,624500515,590098114,808691930,514359662,895205045,715264908,628829100,484492064,919717789,513196123,748510389,403652653,574455974,77123823,172096141,819801784,581418893,15655126,15391652,875641535,203191898,264582598,880691101,907800444,986598821,340030191,264688936,369832433,785804644,842065079,423951674,663560047,696623384,496709826,161960209,331910086,541120825,951524114,841656666,162683802,629786193,190395535,269571439,832671304,76770272,341080135,421943723,494210290,751040886,317076664,672850561,72482816,493689107,135625240,100228913,684748812,639655136,906233141,929893103,277813439,814362881,562608724,406024012,885537778,10065330,60625018,983737173,60517502,551060742,804930491,823845496,727416538,946421040,678171399,842203531,175638827,894247956,538609927,885362182,946464959,116667533,749816133,241427979,871117927,281804989,163928347,563796647,640266394,774625892,59342705,256473217,674115061,918860977,322633051,753513874,393556719,304644842,767372800,161362528,754787150,627655552,677395736,799289297,846650652,816701166,687265514,787113234,358757251,701220427,607715125,245795606,600624983,10475577,728620948,759404319,36292292,491466901,22556579,114495791,647630109,586445753,482254337,718623833,763514207,66547751,953634340,351472920,308474522,494166907,634359666,172114298,865440961,364380585,921648059,965683742,260466949,117483873,962540888,237120480,620531822,193781724,213092254,107141741,602742426,793307102,756154604,236455213,362928234,14162538,753042874,778983779,25977209,49389215,698308420,859637374,49031023,713258160,737331920,923333660,804861409,83868974,682873215,217298111,883278906,176966527,954913,105359006,390019735,10430738,706334445,315103615,567473423,708233401,48160594,946149627,346966053,281329488,462880311,31503476,185438078,965785236,992656683,916291845,881482632,899946391,321900901,512634493,303338827,121000338,967284733,492741665,152233223,165393390,680128316,917041303,532702135,741626808,496442755,536841269,131384366,377329025,301196854,859917803,676511002,373451745,847645126,823495900,576368335,73146164,954958912,847549272,241289571,646654592,216046746,205951465,3258987,780882948,822439091,598245292,869544707,698611116 };
modint calc_f(int x) {
	modint res = 1;
	int s = 1;
	rep(i, fs.size()) {
		if (i * b <= x) {
			s = i * b + 1;
			res = fs[i];
		}
	}
	while (s <= x) {
		res *= s; s++;
	}
	return res;
}
void expr() {
	modint z = 1;
	cout << "{1";
	for (int i = 1; i <= mod; i++) {
		z *= i;
		if (i % b == 0) {
			cout << "," << z;
		}
	}
	cout << "}";
}
struct bigint {
	string s;
	bigint() {};
	bigint(ll n) { s = to_string(n); };
	bigint(string t) { s = t; };
};
bool operator==(const bigint& a, const bigint& b) { return a.s == b.s; };
bool operator==(const bigint& a, const int& b) { return a.s == to_string(b); };
bool operator!=(const bigint& a, const bigint& b) { return !(a == b); };
bool operator!=(const bigint& a, const int& b) { return a != to_string(b); };
bool operator<(const bigint& a, const bigint& b) {
	if (a.s.length() != b.s.length())return a.s.length() < b.s.length();
	return a.s < b.s;
}
bool operator>(const bigint& a, const bigint& b) {
	if (a.s.length() != b.s.length())return a.s.length() > b.s.length();
	return a.s > b.s;
}
bool operator>=(const bigint& a, const bigint& b) {
	return !(a < b);
}
bool operator<=(const bigint& a, const bigint& b) {
	return !(a > b);
}
bigint operator+(const bigint& a, const bigint& b) {
	int len = max(a.s.length(), b.s.length());
	bigint ret; bool f = false;
	rep(i, len) {
		int c = 0;
		if (f)c = 1, f = false;
		int j = a.s.length() - 1 - i;
		if (j >= 0)c += a.s[j] - '0';
		j = b.s.length() - 1 - i;
		if (j >= 0)c += b.s[j] - '0';
		if (c >= 10)f = true, c -= 10;
		ret.s.push_back('0' + c);
	}
	if (f)ret.s.push_back('1');
	reverse(ret.s.begin(), ret.s.end()); return ret;
}
bigint operator+(const bigint& a, const int b) {
	return a + bigint(b);
}
bigint operator-(const bigint& a, const bigint& b) {
	int len = max(a.s.length(), b.s.length());
	bigint ret; bool f = false;
	rep(i, len) {
		int c = 0;
		if (f)c = -1, f = false;
		int j = a.s.length() - 1 - i;
		if (j >= 0)c += a.s[j] - '0';
		j = b.s.length() - 1 - i;
		if (j >= 0)c -= b.s[j] - '0';
		if (c < 0)f = true, c += 10;
		ret.s.push_back('0' + c);
	}
	while (ret.s.size() > 1 && ret.s.back() == '0')ret.s.pop_back();
	reverse(ret.s.begin(), ret.s.end());
	return ret;
}
bigint operator/(const bigint& a, const bigint& b) {
	bigint ret(0);
	bigint ans;
	int len = a.s.length();
	rep(i, len) {
		ret = ret + (a.s[i] - '0');
		int cnt = 0;
		while (ret >= b)++cnt, ret = ret - b;
		ans.s.push_back('0' + cnt);
		if (ret != 0)ret.s.push_back('0');
	}
	rep(i, ans.s.length()) {
		if (ans.s[i] != '0') {
			ans.s.erase(ans.s.begin(), ans.s.begin() + i);
			break;
		}
		if (i == (int)ans.s.length() - 1) {
			ans = 0;
		}
	}
	return ans;
}
bigint operator%(const bigint& a, const bigint& b) {
	bigint ret(0);
	int len = a.s.length();
	rep(i, len) {
		ret = ret + (a.s[i] - '0');
		while (ret >= b)ret = ret - b;
		if (ret != 0 && i < len - 1)ret.s.push_back('0');
	}

	rep(i, ret.s.size()) {
		if (ret.s[i] != '0' || i == ret.s.size() - 1) {
			ret.s.erase(ret.s.begin(), ret.s.begin() + i);
			break;
		}
	}
	return ret;
}
ll operator%(const bigint& a, const ll& b) {
	ll res = 0;
	rep(i, a.s.size()) {
		res = res * 10 + a.s[i] - '0';
		res %= b;
	}
	return res;
}
bigint multi(const bigint& a, const int& t) {
	bigint ret;
	int c = 0;
	per(i, a.s.length()) {
		c += (a.s[i] - '0') * t;
		ret.s.push_back('0' + (c % 10));
		c /= 10;
	}
	while (c > 0) {
		ret.s.push_back('0' + (c % 10));
		c /= 10;
	}
	while (ret != 0 && ret.s.back() == '0')ret.s.pop_back();
	reverse(ret.s.begin(), ret.s.end());
	return ret;
}
bigint operator*(const bigint& a, const bigint& b) {
	bigint ret(0);
	int l = b.s.length();
	rep(i, b.s.length()) {
		bigint u = multi(a, (b.s[l - 1 - i] - '0'));
		if (u != 0) {
			rep(j, i)u.s.push_back('0');
		}
		ret = ret + u;
	}
	rep(i, ret.s.size()) {
		if (ret.s[i] != '0' || i == ret.s.size() - 1) {
			ret.s.erase(ret.s.begin(), ret.s.begin() + i);
			break;
		}
	}
	return ret;
}
bigint min(const bigint& a, const bigint& b) {
	if (a < b)return a;
	else return b;
}

bigint gcd(bigint a, bigint b) {
	if (a < b)swap(a, b);
	while (b > 0) {
		bigint r = a % b; a = b; b = r;
	}
	return a;
}
typedef pair<bigint, bigint> bP;

void solve() {
	string s, t; cin >> s >> t;
	bigint a(s), b(t);
	if (b >= bigint(mod)) {
		cout << 0 << "\n"; return;
	}
	if (a < b) {
		cout << 0 << "\n"; return;
	}
	bigint c = a - b + 1;
	//cout << "ge " << c.s << " " << b.s << "\n";
	
	ll y = stoll(b.s);
	modint ans = 1;
	ll le = (c - b + 1) % mod;
	ll ri = c % mod;
	//cout << "? " << le << " " << ri << "\n";
	if (le > ri||le==0) {
		cout << 0 << "\n"; return;
	}
	
	//cout << "ee " << u << "\n";
	//cout << "? " << calc_f(ri) << " " << calc_f(le - 1) << " " << calc_f(u) << "\n";
	ans *= calc_f(ri) / calc_f(le - 1);
	//cout << "? " << le << " " << ri << " " << u << "\n";
	cout << ans << "\n";
}




signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	//init_f();
	//expr();
	int t; cin >> t; rep(i, t)
	solve();
	return 0;
}
0