#include <bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,avx,avx2")
using namespace std;
typedef long long ll;
typedef __int128 lll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pld;
#define MAX 9223372036854775807LL
#define MIN -9223372036854775807LL
#define INF 0x3f3f3f3f3f3f3f3f
#define fi first
#define se second
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cout << fixed; cout.precision(10);
#define sp << " "
#define en << "\n"
#define compress(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(), v.end()), v.end())
int n, m;
int ss = 1000000007;
int ans;
int cou[2010];
int dp[9000010];
int fac[5010] = {1,1,2,6,24,120,720,5040,40320,362880,3628800,39916800,479001600,227020758,178290591,674358851,789741546,425606191,660911389,557316307,146326063,72847302,602640637,860734560,657629300,440732388,459042011,394134213,35757887,36978716,109361473,390205642,486580460,57155068,943272305,14530444,523095984,354551275,472948359,444985875,799434881,776829897,626855450,954784168,10503098,472639410,741412713,846397273,627068824,726372166,318608048,249010336,948537388,272481214,713985458,269199917,75195247,286129051,595484846,133605669,16340084,996745124,798197261,286427093,331333826,536698543,422103593,280940535,103956247,172980994,108669496,715534167,518459667,847555432,719101534,932614679,878715114,661063309,562937745,472081547,766523501,88403147,249058005,671814275,432398708,753889928,834533360,604401816,187359437,674989781,749079870,166267694,296627743,586379910,119711155,372559648,765725963,275417893,990953332,104379182,437918130,229730822,432543683,551999041,407899865,829485531,925465677,24826746,681288554,260451868,649705284,117286020,136034149,371858732,391895154,67942395,881317771,114178486,473061257,294289191,314702675,79023409,640855835,825267159,333127002,640874963,750244778,281086141,979025803,294327705,262601384,400781066,903100348,112345444,54289391,329067736,753211788,190014235,221964248,853030262,424235847,817254014,50069176,159892119,24464975,547421354,923517131,757017312,38561392,745647373,847105173,912880234,757794602,942573301,156287339,224537377,27830567,369398991,365040172,41386942,621910678,127618458,674190056,892978365,448450838,994387759,68366839,417262036,100021558,903643190,619341229,907349424,64099836,89271551,533249769,318708924,92770232,420330952,818908938,584698880,245797665,489377057,66623751,192146349,354927971,661674180,71396619,351167662,19519994,689278845,962979640,929109959,389110882,98399701,89541861,460662776,289903466,110982403,974515647,928612402,722479105,218299090,96415872,572421883,774063320,682979494,693774784,611379287,166890807,880178425,837467962,705738750,616613957,338771924,497191232,896114138,560652457,661582322,224945188,262995829,859081981,857116478,279856786,408062844,406076419,367193638,985761614,767884817,77737051,801784560,410447512,813374614,702909132,777826615,11426636,685259446,721228129,931065383,593559607,860745086,578819198,495425745,893029457,6156532,502193801,37480384,220174401,383076669,3013247,750298503,574624441,230733683,144887710,656590378,773954850,358485371,772254339,469363737,95843299,823414273,87709482,892174648,749756145,185864756,68295241,98238739,131504392,111672419,928208089,687974198,753032165,71715287,506557931,290314197,546089425,174590825,187067364,817659471,309331349,303445769,964814732,112937795,848457973,113604679,263728612,162653895,519013648,956915940,591788795,26960558,818561771,201473695,830318534,283328761,298655153,103269519,567777414,629890782,707451727,528064896,419467694,259775012,452053078,972081682,512829263,412924123,354780756,917691336,648929514,519218426,957710940,848100261,607279584,78508462,651656900,271922065,927371945,976904514,655633282,147015495,44958071,431540693,956102180,821001984,4640954,508310043,709072863,866824584,318461564,773853828,371761455,53040744,609526889,972452623,799173814,723225821,3874155,305590228,289496343,139259591,348260611,756867525,848691744,101266155,835557082,267191274,448180160,518514435,443022120,614718802,151579195,204297074,912569551,137049249,515433810,979001276,524451820,229298431,88837724,892742699,387369393,840349900,206661672,18186411,619853562,246548548,236767938,893832644,930410696,321544423,971435684,402636244,780681725,194281388,661238608,964476271,643075362,439409780,96895678,723461710,915447882,785640606,114709392,933696835,539582134,739120141,300372431,244129985,722433522,26638091,388855420,42468156,647517040,474194942,832805846,958306874,489519451,339220689,9833277,923477502,390998217,790283925,694135631,736657340,609563281,873127083,489593220,264439147,891171227,489029295,502009550,325923608,280525558,857054649,820622208,558213940,216997416,487921842,951328535,606653379,794417402,449723904,783486165,414645478,809681447,114612567,824953206,255016498,147060381,88903008,228293174,394357308,362355866,900088886,638573794,779598451,904922263,451026166,549459329,212643744,563246709,391796933,174243175,189725986,238337196,60051478,782959006,982673239,237607992,685987666,694447544,195840153,519748540,446086975,523485236,185780714,716004996,214280883,140643728,555470704,516522055,116665689,899547947,490696549,683197147,686671136,988747143,744912554,619072836,345158054,224284246,637879131,78947725,342273666,237716550,915360466,711578771,423071394,228124918,271834959,480779410,254894593,859192972,990202578,258044399,151532640,644862529,48049425,448119239,130306338,850105179,401639970,606863861,183881380,837401090,513536652,714177614,946271680,243293343,403377310,688653593,15447678,754734307,631353768,202296846,159906516,912696536,737140518,467380526,896686075,309895051,356369955,46141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inv[5010] = {0, };
int C[5010][5010];
void init(void)
{
C[0][0] = 1;
for(ll i = 1 ; i <= 4000 ; ++i)
{
C[i][0] = C[i][i] = 1;
for(ll j = 1 ; j < i ; ++j)
{
C[i][j] = C[i - 1][j - 1] + C[i - 1][j];
if(C[i][j] > ss)
C[i][j] -= ss;
}
}
}
int main(void)
{
fastio
cin >> n >> m;
init();
int siz = (n << 1);
ans = fac[siz];
for(int i = siz ; i >= 1 ; --i)
{
int gap = i % m;
if(gap == 0)
gap = m;
cou[gap]++;
}
for(int i = m ; i >= 0 ; --i)
dp[i] = 1;
for(int i = 1 ; i <= n ; ++i)
{
for(int j = 1 ; j <= m ; ++j)
{
int X = cou[j];
for(int k = 1 ; (k << 1) <= X && k <= i ; ++k)
{
int num = i * (m + 1) + j;
dp[num] = (dp[i * (m + 1) + j] + (ll)dp[(i - k) * (m + 1) + j - 1] * C[X][k << 1] % ss * fac[k << 1] % ss * C[i][k]% ss);
while(abs(dp[num]) > ss)
{
if(dp[num] < 0)
dp[num] += ss;
else
dp[num] -= ss;
}
}
}
for(int j = 1 ; j <= m ; ++j)
{
int num = i * (m + 1) + j;
dp[num] = (dp[num] + dp[num - 1]);
while(abs(dp[num]) > ss)
{
if(dp[num] < 0)
dp[num] += ss;
else
dp[num] -= ss;
}
}
}
for(int i = n ; i >= 1 ; --i)
{
int num = i * (m + 1) + m;
int gap = (ll)dp[num] * C[n][i] % ss * fac[(n - i) << 1] % ss;
if(i & 1)
ans = (ans - gap);
else
ans = (ans + gap);
while(abs(ans) > ss)
{
if(ans < 0)
ans += ss;
else
ans -= ss;
}
}
ans = (ans + ss) % ss;
cout << ans;
return 0;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
15 ms |
82524 KB |
Output is correct |
| 2 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 3 |
Correct |
11 ms |
82576 KB |
Output is correct |
| 4 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 5 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 6 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 7 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 8 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 9 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 10 |
Correct |
10 ms |
82676 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
15 ms |
82524 KB |
Output is correct |
| 2 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 3 |
Correct |
11 ms |
82576 KB |
Output is correct |
| 4 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 5 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 6 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 7 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 8 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 9 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 10 |
Correct |
10 ms |
82676 KB |
Output is correct |
| 11 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 12 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 13 |
Correct |
10 ms |
82560 KB |
Output is correct |
| 14 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 15 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 16 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 17 |
Correct |
11 ms |
82520 KB |
Output is correct |
| 18 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 19 |
Correct |
10 ms |
82524 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
15 ms |
82524 KB |
Output is correct |
| 2 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 3 |
Correct |
11 ms |
82576 KB |
Output is correct |
| 4 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 5 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 6 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 7 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 8 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 9 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 10 |
Correct |
10 ms |
82676 KB |
Output is correct |
| 11 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 12 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 13 |
Correct |
10 ms |
82560 KB |
Output is correct |
| 14 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 15 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 16 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 17 |
Correct |
11 ms |
82520 KB |
Output is correct |
| 18 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 19 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 20 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 21 |
Correct |
10 ms |
82476 KB |
Output is correct |
| 22 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 23 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 24 |
Correct |
12 ms |
82524 KB |
Output is correct |
| 25 |
Correct |
12 ms |
82524 KB |
Output is correct |
| 26 |
Correct |
11 ms |
82520 KB |
Output is correct |
| 27 |
Correct |
12 ms |
82524 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
15 ms |
82524 KB |
Output is correct |
| 2 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 3 |
Correct |
11 ms |
82576 KB |
Output is correct |
| 4 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 5 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 6 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 7 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 8 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 9 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 10 |
Correct |
10 ms |
82676 KB |
Output is correct |
| 11 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 12 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 13 |
Correct |
10 ms |
82560 KB |
Output is correct |
| 14 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 15 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 16 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 17 |
Correct |
11 ms |
82520 KB |
Output is correct |
| 18 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 19 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 20 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 21 |
Correct |
10 ms |
82476 KB |
Output is correct |
| 22 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 23 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 24 |
Correct |
12 ms |
82524 KB |
Output is correct |
| 25 |
Correct |
12 ms |
82524 KB |
Output is correct |
| 26 |
Correct |
11 ms |
82520 KB |
Output is correct |
| 27 |
Correct |
12 ms |
82524 KB |
Output is correct |
| 28 |
Correct |
18 ms |
82524 KB |
Output is correct |
| 29 |
Correct |
18 ms |
82780 KB |
Output is correct |
| 30 |
Correct |
17 ms |
83632 KB |
Output is correct |
| 31 |
Correct |
19 ms |
82524 KB |
Output is correct |
| 32 |
Correct |
19 ms |
82988 KB |
Output is correct |
| 33 |
Correct |
18 ms |
83804 KB |
Output is correct |
| 34 |
Correct |
26 ms |
85340 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
15 ms |
82524 KB |
Output is correct |
| 2 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 3 |
Correct |
11 ms |
82576 KB |
Output is correct |
| 4 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 5 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 6 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 7 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 8 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 9 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 10 |
Correct |
10 ms |
82676 KB |
Output is correct |
| 11 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 12 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 13 |
Correct |
10 ms |
82560 KB |
Output is correct |
| 14 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 15 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 16 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 17 |
Correct |
11 ms |
82520 KB |
Output is correct |
| 18 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 19 |
Correct |
10 ms |
82524 KB |
Output is correct |
| 20 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 21 |
Correct |
10 ms |
82476 KB |
Output is correct |
| 22 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 23 |
Correct |
11 ms |
82524 KB |
Output is correct |
| 24 |
Correct |
12 ms |
82524 KB |
Output is correct |
| 25 |
Correct |
12 ms |
82524 KB |
Output is correct |
| 26 |
Correct |
11 ms |
82520 KB |
Output is correct |
| 27 |
Correct |
12 ms |
82524 KB |
Output is correct |
| 28 |
Correct |
18 ms |
82524 KB |
Output is correct |
| 29 |
Correct |
18 ms |
82780 KB |
Output is correct |
| 30 |
Correct |
17 ms |
83632 KB |
Output is correct |
| 31 |
Correct |
19 ms |
82524 KB |
Output is correct |
| 32 |
Correct |
19 ms |
82988 KB |
Output is correct |
| 33 |
Correct |
18 ms |
83804 KB |
Output is correct |
| 34 |
Correct |
26 ms |
85340 KB |
Output is correct |
| 35 |
Correct |
64 ms |
82520 KB |
Output is correct |
| 36 |
Correct |
70 ms |
93776 KB |
Output is correct |
| 37 |
Correct |
62 ms |
82556 KB |
Output is correct |
| 38 |
Correct |
62 ms |
87376 KB |
Output is correct |
| 39 |
Correct |
56 ms |
91264 KB |
Output is correct |
| 40 |
Correct |
88 ms |
97712 KB |
Output is correct |
