답안 #897762

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
897762 2024-01-03T16:11:20 Z denniskim NoM (RMI21_nom) C++17
100 / 100
88 ms 97712 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())
 
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