답안 #897756

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
897756 2024-01-03T16:06:44 Z denniskim NoM (RMI21_nom) C++17
100 / 100
105 ms 35668 KB
#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())
 
ll n, m;
ll ss = 1000000007;
int ans;
ll cou[2010];
int dp[9000010];
ll 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;
}

void get_C(ll X, ll Y)
{
	if(C[X][Y] || X < 0 || Y < 0 || X < Y)
		return;
	
	get_C(X - 1, Y - 1);
	get_C(X - 1, Y);
	
	C[X][Y] = (C[X - 1][Y - 1] + C[X - 1][Y]);
	
	if(C[X][Y] > ss)
		C[X][Y] -= ss;
}
 
int main(void)
{
	fastio
	
	cin >> n >> m;
	
	init();
	
	ll siz = (n << 1);
	
	ans = fac[siz];
	
	for(ll i = siz ; i >= 1 ; --i)
	{
		ll gap = i % m;
		
		if(gap == 0)
			gap = m;
		
		cou[gap]++;
	}
	
	for(ll i = m ; i >= 0 ; --i)
		dp[i] = 1;
	
	for(ll i = 1 ; i <= n ; ++i)
	{
		for(ll j = 1 ; j <= m ; ++j)
		{
			ll X = cou[j];
			
			for(ll k = 1 ; (k << 1) <= X && k <= i ; ++k)
            {
            	ll num = i * (m + 1) + j;
            	get_C(X, k << 1);
            	get_C(i, k);
				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(ll j = 1 ; j <= m ; ++j)
        {
        	ll 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(ll i = n ; i >= 1 ; --i)
	{
		get_C(n, i);
		ll num = i * (m + 1) + m;
		ll 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 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 1 ms 4700 KB Output is correct
13 Correct 1 ms 4700 KB Output is correct
14 Correct 1 ms 4852 KB Output is correct
15 Correct 1 ms 4696 KB Output is correct
16 Correct 2 ms 4696 KB Output is correct
17 Correct 1 ms 4700 KB Output is correct
18 Correct 1 ms 4700 KB Output is correct
19 Correct 1 ms 4700 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 1 ms 4700 KB Output is correct
13 Correct 1 ms 4700 KB Output is correct
14 Correct 1 ms 4852 KB Output is correct
15 Correct 1 ms 4696 KB Output is correct
16 Correct 2 ms 4696 KB Output is correct
17 Correct 1 ms 4700 KB Output is correct
18 Correct 1 ms 4700 KB Output is correct
19 Correct 1 ms 4700 KB Output is correct
20 Correct 1 ms 5212 KB Output is correct
21 Correct 1 ms 5212 KB Output is correct
22 Correct 3 ms 5724 KB Output is correct
23 Correct 3 ms 5468 KB Output is correct
24 Correct 3 ms 5724 KB Output is correct
25 Correct 2 ms 5724 KB Output is correct
26 Correct 3 ms 5696 KB Output is correct
27 Correct 4 ms 5724 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 1 ms 4700 KB Output is correct
13 Correct 1 ms 4700 KB Output is correct
14 Correct 1 ms 4852 KB Output is correct
15 Correct 1 ms 4696 KB Output is correct
16 Correct 2 ms 4696 KB Output is correct
17 Correct 1 ms 4700 KB Output is correct
18 Correct 1 ms 4700 KB Output is correct
19 Correct 1 ms 4700 KB Output is correct
20 Correct 1 ms 5212 KB Output is correct
21 Correct 1 ms 5212 KB Output is correct
22 Correct 3 ms 5724 KB Output is correct
23 Correct 3 ms 5468 KB Output is correct
24 Correct 3 ms 5724 KB Output is correct
25 Correct 2 ms 5724 KB Output is correct
26 Correct 3 ms 5696 KB Output is correct
27 Correct 4 ms 5724 KB Output is correct
28 Correct 11 ms 7768 KB Output is correct
29 Correct 12 ms 8540 KB Output is correct
30 Correct 10 ms 9052 KB Output is correct
31 Correct 12 ms 7772 KB Output is correct
32 Correct 13 ms 8680 KB Output is correct
33 Correct 13 ms 9820 KB Output is correct
34 Correct 21 ms 12636 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 1 ms 4700 KB Output is correct
13 Correct 1 ms 4700 KB Output is correct
14 Correct 1 ms 4852 KB Output is correct
15 Correct 1 ms 4696 KB Output is correct
16 Correct 2 ms 4696 KB Output is correct
17 Correct 1 ms 4700 KB Output is correct
18 Correct 1 ms 4700 KB Output is correct
19 Correct 1 ms 4700 KB Output is correct
20 Correct 1 ms 5212 KB Output is correct
21 Correct 1 ms 5212 KB Output is correct
22 Correct 3 ms 5724 KB Output is correct
23 Correct 3 ms 5468 KB Output is correct
24 Correct 3 ms 5724 KB Output is correct
25 Correct 2 ms 5724 KB Output is correct
26 Correct 3 ms 5696 KB Output is correct
27 Correct 4 ms 5724 KB Output is correct
28 Correct 11 ms 7768 KB Output is correct
29 Correct 12 ms 8540 KB Output is correct
30 Correct 10 ms 9052 KB Output is correct
31 Correct 12 ms 7772 KB Output is correct
32 Correct 13 ms 8680 KB Output is correct
33 Correct 13 ms 9820 KB Output is correct
34 Correct 21 ms 12636 KB Output is correct
35 Correct 71 ms 16212 KB Output is correct
36 Correct 80 ms 29280 KB Output is correct
37 Correct 69 ms 15952 KB Output is correct
38 Correct 70 ms 21580 KB Output is correct
39 Correct 61 ms 24656 KB Output is correct
40 Correct 105 ms 35668 KB Output is correct