답안 #897749

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
897749	2024-01-03T15:58:40 Z	denniskim	NoM (RMI21_nom)	C++17	100 / 100	91 ms	99896 KB

Main

#include <bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")
#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] = {0, }, inv[5010] = {0, };
int C[5010][5010];
 
ll num(ll X, ll Y)
{
	return X * (m + 1) + Y;
}

void init(void)
{
	fac[0] = 1;
    fac[1] = 1;
     
    for(ll i = 2 ; i <= 4500 ; ++i)
        fac[i] = (fac[i - 1] * i) % ss;
    
    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();
	
	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[num(0, 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)
            {
				dp[num(i, j)] = (dp[num(i, j)] + (ll)dp[num(i - k, j - 1)] * C[X][k << 1] % ss * fac[k << 1] % ss * C[i][k]% ss);
              	while(abs(dp[num(i, j)]) > ss)
                {
                    if(dp[num(i, j)] < 0)
                        dp[num(i, j)] += ss;
                    else
                        dp[num(i, j)] -= ss;
                }
            }
		}
		
		for(ll j = 1 ; j <= m ; ++j)
        {
			dp[num(i, j)] = (dp[num(i, j)] + dp[num(i, j - 1)]);
          
          	while(abs(dp[num(i, j)]) > ss)
			{
				if(dp[num(i, j)] < 0)
					dp[num(i, j)] += ss;
				else
					dp[num(i, j)] -= ss;
			}
        }
	}
	
	for(ll i = n ; i >= 1 ; --i)
	{
		ll gap = (ll)dp[num(i, m)] * 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;
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	15 ms	84568 KB	Output is correct
2	Correct	13 ms	84572 KB	Output is correct
3	Correct	14 ms	84604 KB	Output is correct
4	Correct	14 ms	84584 KB	Output is correct
5	Correct	14 ms	84572 KB	Output is correct
6	Correct	15 ms	84572 KB	Output is correct
7	Correct	13 ms	84572 KB	Output is correct
8	Correct	14 ms	84524 KB	Output is correct
9	Correct	14 ms	84572 KB	Output is correct
10	Correct	14 ms	84572 KB	Output is correct

Subtask #2
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	15 ms	84568 KB	Output is correct
2	Correct	13 ms	84572 KB	Output is correct
3	Correct	14 ms	84604 KB	Output is correct
4	Correct	14 ms	84584 KB	Output is correct
5	Correct	14 ms	84572 KB	Output is correct
6	Correct	15 ms	84572 KB	Output is correct
7	Correct	13 ms	84572 KB	Output is correct
8	Correct	14 ms	84524 KB	Output is correct
9	Correct	14 ms	84572 KB	Output is correct
10	Correct	14 ms	84572 KB	Output is correct
11	Correct	14 ms	84572 KB	Output is correct
12	Correct	14 ms	84572 KB	Output is correct
13	Correct	15 ms	84380 KB	Output is correct
14	Correct	14 ms	84576 KB	Output is correct
15	Correct	14 ms	84568 KB	Output is correct
16	Correct	14 ms	84568 KB	Output is correct
17	Correct	14 ms	84572 KB	Output is correct
18	Correct	14 ms	84516 KB	Output is correct
19	Correct	14 ms	84572 KB	Output is correct

Subtask #3
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	15 ms	84568 KB	Output is correct
2	Correct	13 ms	84572 KB	Output is correct
3	Correct	14 ms	84604 KB	Output is correct
4	Correct	14 ms	84584 KB	Output is correct
5	Correct	14 ms	84572 KB	Output is correct
6	Correct	15 ms	84572 KB	Output is correct
7	Correct	13 ms	84572 KB	Output is correct
8	Correct	14 ms	84524 KB	Output is correct
9	Correct	14 ms	84572 KB	Output is correct
10	Correct	14 ms	84572 KB	Output is correct
11	Correct	14 ms	84572 KB	Output is correct
12	Correct	14 ms	84572 KB	Output is correct
13	Correct	15 ms	84380 KB	Output is correct
14	Correct	14 ms	84576 KB	Output is correct
15	Correct	14 ms	84568 KB	Output is correct
16	Correct	14 ms	84568 KB	Output is correct
17	Correct	14 ms	84572 KB	Output is correct
18	Correct	14 ms	84516 KB	Output is correct
19	Correct	14 ms	84572 KB	Output is correct
20	Correct	14 ms	84572 KB	Output is correct
21	Correct	14 ms	84568 KB	Output is correct
22	Correct	15 ms	84516 KB	Output is correct
23	Correct	15 ms	84572 KB	Output is correct
24	Correct	15 ms	84824 KB	Output is correct
25	Correct	14 ms	84544 KB	Output is correct
26	Correct	14 ms	84572 KB	Output is correct
27	Correct	16 ms	84572 KB	Output is correct

Subtask #4
18.0 / 18.0

#	결과	실행 시간	메모리	Grader output
1	Correct	15 ms	84568 KB	Output is correct
2	Correct	13 ms	84572 KB	Output is correct
3	Correct	14 ms	84604 KB	Output is correct
4	Correct	14 ms	84584 KB	Output is correct
5	Correct	14 ms	84572 KB	Output is correct
6	Correct	15 ms	84572 KB	Output is correct
7	Correct	13 ms	84572 KB	Output is correct
8	Correct	14 ms	84524 KB	Output is correct
9	Correct	14 ms	84572 KB	Output is correct
10	Correct	14 ms	84572 KB	Output is correct
11	Correct	14 ms	84572 KB	Output is correct
12	Correct	14 ms	84572 KB	Output is correct
13	Correct	15 ms	84380 KB	Output is correct
14	Correct	14 ms	84576 KB	Output is correct
15	Correct	14 ms	84568 KB	Output is correct
16	Correct	14 ms	84568 KB	Output is correct
17	Correct	14 ms	84572 KB	Output is correct
18	Correct	14 ms	84516 KB	Output is correct
19	Correct	14 ms	84572 KB	Output is correct
20	Correct	14 ms	84572 KB	Output is correct
21	Correct	14 ms	84568 KB	Output is correct
22	Correct	15 ms	84516 KB	Output is correct
23	Correct	15 ms	84572 KB	Output is correct
24	Correct	15 ms	84824 KB	Output is correct
25	Correct	14 ms	84544 KB	Output is correct
26	Correct	14 ms	84572 KB	Output is correct
27	Correct	16 ms	84572 KB	Output is correct
28	Correct	22 ms	84600 KB	Output is correct
29	Correct	22 ms	84856 KB	Output is correct
30	Correct	21 ms	85596 KB	Output is correct
31	Correct	21 ms	84572 KB	Output is correct
32	Correct	23 ms	85020 KB	Output is correct
33	Correct	23 ms	85852 KB	Output is correct
34	Correct	29 ms	87380 KB	Output is correct

Subtask #5
48.0 / 48.0

#	결과	실행 시간	메모리	Grader output
1	Correct	15 ms	84568 KB	Output is correct
2	Correct	13 ms	84572 KB	Output is correct
3	Correct	14 ms	84604 KB	Output is correct
4	Correct	14 ms	84584 KB	Output is correct
5	Correct	14 ms	84572 KB	Output is correct
6	Correct	15 ms	84572 KB	Output is correct
7	Correct	13 ms	84572 KB	Output is correct
8	Correct	14 ms	84524 KB	Output is correct
9	Correct	14 ms	84572 KB	Output is correct
10	Correct	14 ms	84572 KB	Output is correct
11	Correct	14 ms	84572 KB	Output is correct
12	Correct	14 ms	84572 KB	Output is correct
13	Correct	15 ms	84380 KB	Output is correct
14	Correct	14 ms	84576 KB	Output is correct
15	Correct	14 ms	84568 KB	Output is correct
16	Correct	14 ms	84568 KB	Output is correct
17	Correct	14 ms	84572 KB	Output is correct
18	Correct	14 ms	84516 KB	Output is correct
19	Correct	14 ms	84572 KB	Output is correct
20	Correct	14 ms	84572 KB	Output is correct
21	Correct	14 ms	84568 KB	Output is correct
22	Correct	15 ms	84516 KB	Output is correct
23	Correct	15 ms	84572 KB	Output is correct
24	Correct	15 ms	84824 KB	Output is correct
25	Correct	14 ms	84544 KB	Output is correct
26	Correct	14 ms	84572 KB	Output is correct
27	Correct	16 ms	84572 KB	Output is correct
28	Correct	22 ms	84600 KB	Output is correct
29	Correct	22 ms	84856 KB	Output is correct
30	Correct	21 ms	85596 KB	Output is correct
31	Correct	21 ms	84572 KB	Output is correct
32	Correct	23 ms	85020 KB	Output is correct
33	Correct	23 ms	85852 KB	Output is correct
34	Correct	29 ms	87380 KB	Output is correct
35	Correct	67 ms	84568 KB	Output is correct
36	Correct	71 ms	95824 KB	Output is correct
37	Correct	65 ms	84572 KB	Output is correct
38	Correct	65 ms	89680 KB	Output is correct
39	Correct	59 ms	93524 KB	Output is correct
40	Correct	91 ms	99896 KB	Output is correct

답안 #897749

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 12.0 / 12.0

Subtask #3 13.0 / 13.0

Subtask #4 18.0 / 18.0

Subtask #5 48.0 / 48.0

Subtask #1
9.0 / 9.0

Subtask #2
12.0 / 12.0

Subtask #3
13.0 / 13.0

Subtask #4
18.0 / 18.0

Subtask #5
48.0 / 48.0