#12273 (D) No.148 試験監督（3）

提出ソース
結果

問題	No.148 試験監督（3）
ユーザー	👑 hos.lyric
提出日時	2015-02-13 01:36:31
言語	D (dmd 2.106.1)
結果	AC
実行時間	216 ms / 1,000 ms
コード長	25,071 bytes
コンパイル時間	1,133 ms
コンパイル使用メモリ	131,456 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-06-12 02:13:17
合計ジャッジ時間	3,192 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
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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	40 ms 5,248 KB
testcase_01	AC	68 ms 5,376 KB
testcase_02	AC	133 ms 5,376 KB
testcase_03	AC	210 ms 5,376 KB
testcase_04	AC	216 ms 5,376 KB
testcase_05	AC	171 ms 5,376 KB
testcase_06	AC	171 ms 5,376 KB
testcase_07	AC	215 ms 5,376 KB
testcase_08	AC	215 ms 5,376 KB
testcase_09	AC	142 ms 5,376 KB
testcase_10	AC	204 ms 5,376 KB
testcase_11	AC	1 ms 5,376 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

raw source code
import core.thread;
import std.conv, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.container, std.math, std.range, std.regex;

//	Input
class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { tokens = readln.split; if (tokens.empty && stdin.eof) throw new EOFException; } auto token = tokens[0]; tokens.popFront; return token; }
int readInt() { return to!int(readToken); }
long readLong() { return to!long(readToken); }
real readReal() { return to!real(readToken); }

//	chmin/chmax
void chmin(T)(ref T t, in T f) { if (t > f) t = f; }
void chmax(T)(ref T t, in T f) { if (t < f) t = f; }

//	Pair
struct Pair(S, T) {
	S x; T y;
	int opCmp(    const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; }
	int opCmp(ref const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; }
	string toString() const { return "(" ~ to!string(x) ~ ", " ~ to!string(y) ~ ")"; }
}
auto pair(S, T)(inout(S) x, inout(T) y) { return Pair!(S, T)(x, y); }

//	Array
int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = as.length; for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; }
int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a <  val); }); }
int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a <= val); }); }
T[] unique(T)(in T[] as) { T[] bs; foreach (a; as) if (bs.empty || bs[$ - 1] != a) bs ~= a; return bs; }


immutable long MO = 10^^9 + 7;

immutable STEP = 10^^6;
long[] FACS = 
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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, 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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]
;
long[] FACINVS = 
[1, 397802501, 407182070, 595906132, 647658926, 255895843, 409881587, 748897706, 681174448, 483451905, 979208068, 196993094, 112271875, 633213064, 802923624, 463505190, 712513461, 392362326, 76168201, 452927234, 278462671, 956747750, 170616541, 331831274, 366901310, 258153927, 815185742, 24033837, 127468101, 238763252, 906890908, 833223065, 274718346, 504985265, 506581622, 977200631, 756778283, 403458836, 743855997, 132875441, 24291875, 394859645, 693171649, 823391648, 579059717, 908866808, 531546554, 384186605, 302328602, 246257267, 691630620, 667373725, 99702928, 428174659, 974221729, 956585025, 949208793, 641860154, 858967799, 869462903, 714904365, 812042392, 542604403, 948589962, 839035230, 354171436, 312390637, 238692390, 843714400, 521210997, 847953656, 508862152, 211377712, 523500630, 15116415, 18004437, 124047379, 836753012, 372791119, 123564066, 236012222, 649431428, 412008381, 503553341, 613022026, 29924314, 302123739, 905367578, 500609181, 592451201, 849551192, 403359976, 722539583, 726233861, 442737871, 434949306, 564703833, 716422282, 415904275, 794609529, 16012583, 253955222, 73245174, 505287461, 91801617, 59794121, 639050655, 705814837, 492783132, 272700828, 94731310, 799296420, 281621283, 948135119, 584532713, 754845643, 640337280, 539752685, 981755140, 399439933, 810320480, 500933176, 536537102, 431344362, 72429434, 426545883, 711679360, 898545025, 166145757, 254749464, 524254343, 31714521, 511973524, 705728846, 879019020, 695803371, 86074827, 322873627, 780293226, 382219639, 799307731, 421895428, 729156052, 145813538, 458706763, 763423781, 789770857, 841663770, 457800477, 628223077, 858843247, 692730253, 356955517, 116733875, 828632761, 92136317, 325817895, 154704917, 186328408, 218821930, 990830140, 976189417, 217189534, 49236187, 533377671, 313469190, 454213708, 574413923, 803159035, 275297851, 937136711, 925154218, 827779222, 119141675, 630118999, 867603714, 333280858, 123659962, 339857481, 618796236, 533485381, 310061347, 241855233, 85501183, 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;

long inv(long x) {
	long ret = 1;
	for (long e = MO - 2; e; e >>= 1, (x *= x) %= MO) if (e & 1) {
		(ret *= x) %= MO;
	}
	return ret;
}

long fac(long n) {
	/*
	long ret = 1;
	for (int k = 1; k <= n; ++k) {
		(ret *= k) %= MO;
	}
	return ret;
	*/
	long ret = FACS[cast(size_t)(n / STEP)];
	long now = 1;
	for (long k = n / STEP * STEP + 1; k <= n; ++k) {
		(now *= k) %= MO;
	}
	(ret *= now) %= MO;
	return ret;
}
long facInv(long n) {
	/*
	return inv(fac(n));
	*/
	long ret = FACINVS[cast(size_t)(n / STEP)];
	long now = 1;
	for (long k = n / STEP * STEP + 1; k <= n; ++k) {
		(now *= k) %= MO;
	}
	(ret *= inv(now)) %= MO;
	return ret;
}

long binom(BigInt n, BigInt k) {
debug{
writeln("binom ",n," ",k);
}
	long ret = 1;
	for (; k > 0; n /= MO, k /= MO) {
		const nn = (n % MO.to!BigInt).toLong;
		const kk = (k % MO.to!BigInt).toLong;
		if (nn < kk) {
			return 0;
		}
		(ret *= fac(nn)) %= MO;
		(ret *= facInv(kk)) %= MO;
		(ret *= facInv(nn - kk)) %= MO;
	}
	return ret;
}

BigInt C, P;

void main(string[] args) {
	/*
	long[] facs, facInvs;
	long now = 1;
	for (long k = 0; k < MO; ++k) {
		if (k % STEP == 0) {
			facs ~= now;
			facInvs ~= inv(now);
		}
		(now *= k) %= MO;
	}
	writeln(facs);
	writeln(facInvs);
	return;
	*/
	
	try {
	for (; ; ) {
		foreach (tc; 0 .. readInt) {
			C = readToken.to!BigInt;
			P = readToken.to!BigInt;
			
			const c = C + 1 - P * 2;
			long ans;
			if (c >= 0) {
				ans = binom(P + c, P);
				(ans *= (P < MO) ? fac(P.toLong) : 0) %= MO;
			} else {
				ans = 0;
			}
			writeln(ans);
			
		}
	}
	} catch (EOFException) {}
}
yukicoder

結果

テストケース

ソースコード
