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Submission #897752

# Submission time Handle Problem Language Result Execution time Memory
897752 2024-01-03T15:59:38 Z denniskim NoM (RMI21_nom) C++17
100 / 100
 90 ms 99776 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] = {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 <= 4000 ; ++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

# Verdict Execution time Memory Grader output
1 Correct 13 ms 84572 KB Output is correct
2 Correct 13 ms 84572 KB Output is correct
3 Correct 13 ms 84592 KB Output is correct
4 Correct 13 ms 84572 KB Output is correct
5 Correct 13 ms 84572 KB Output is correct
6 Correct 13 ms 84572 KB Output is correct
7 Correct 13 ms 84548 KB Output is correct
8 Correct 14 ms 84540 KB Output is correct
9 Correct 14 ms 84588 KB Output is correct
10 Correct 13 ms 84568 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 84572 KB Output is correct
2 Correct 13 ms 84572 KB Output is correct
3 Correct 13 ms 84592 KB Output is correct
4 Correct 13 ms 84572 KB Output is correct
5 Correct 13 ms 84572 KB Output is correct
6 Correct 13 ms 84572 KB Output is correct
7 Correct 13 ms 84548 KB Output is correct
8 Correct 14 ms 84540 KB Output is correct
9 Correct 14 ms 84588 KB Output is correct
10 Correct 13 ms 84568 KB Output is correct
11 Correct 13 ms 84572 KB Output is correct
12 Correct 13 ms 84572 KB Output is correct
13 Correct 14 ms 84480 KB Output is correct
14 Correct 14 ms 84572 KB Output is correct
15 Correct 14 ms 84548 KB Output is correct
16 Correct 13 ms 84572 KB Output is correct
17 Correct 14 ms 84540 KB Output is correct
18 Correct 14 ms 84572 KB Output is correct
19 Correct 14 ms 84536 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 84572 KB Output is correct
2 Correct 13 ms 84572 KB Output is correct
3 Correct 13 ms 84592 KB Output is correct
4 Correct 13 ms 84572 KB Output is correct
5 Correct 13 ms 84572 KB Output is correct
6 Correct 13 ms 84572 KB Output is correct
7 Correct 13 ms 84548 KB Output is correct
8 Correct 14 ms 84540 KB Output is correct
9 Correct 14 ms 84588 KB Output is correct
10 Correct 13 ms 84568 KB Output is correct
11 Correct 13 ms 84572 KB Output is correct
12 Correct 13 ms 84572 KB Output is correct
13 Correct 14 ms 84480 KB Output is correct
14 Correct 14 ms 84572 KB Output is correct
15 Correct 14 ms 84548 KB Output is correct
16 Correct 13 ms 84572 KB Output is correct
17 Correct 14 ms 84540 KB Output is correct
18 Correct 14 ms 84572 KB Output is correct
19 Correct 14 ms 84536 KB Output is correct
20 Correct 14 ms 84568 KB Output is correct
21 Correct 14 ms 84564 KB Output is correct
22 Correct 15 ms 84568 KB Output is correct
23 Correct 15 ms 84572 KB Output is correct
24 Correct 15 ms 84572 KB Output is correct
25 Correct 15 ms 84572 KB Output is correct
26 Correct 15 ms 84572 KB Output is correct
27 Correct 15 ms 84552 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 84572 KB Output is correct
2 Correct 13 ms 84572 KB Output is correct
3 Correct 13 ms 84592 KB Output is correct
4 Correct 13 ms 84572 KB Output is correct
5 Correct 13 ms 84572 KB Output is correct
6 Correct 13 ms 84572 KB Output is correct
7 Correct 13 ms 84548 KB Output is correct
8 Correct 14 ms 84540 KB Output is correct
9 Correct 14 ms 84588 KB Output is correct
10 Correct 13 ms 84568 KB Output is correct
11 Correct 13 ms 84572 KB Output is correct
12 Correct 13 ms 84572 KB Output is correct
13 Correct 14 ms 84480 KB Output is correct
14 Correct 14 ms 84572 KB Output is correct
15 Correct 14 ms 84548 KB Output is correct
16 Correct 13 ms 84572 KB Output is correct
17 Correct 14 ms 84540 KB Output is correct
18 Correct 14 ms 84572 KB Output is correct
19 Correct 14 ms 84536 KB Output is correct
20 Correct 14 ms 84568 KB Output is correct
21 Correct 14 ms 84564 KB Output is correct
22 Correct 15 ms 84568 KB Output is correct
23 Correct 15 ms 84572 KB Output is correct
24 Correct 15 ms 84572 KB Output is correct
25 Correct 15 ms 84572 KB Output is correct
26 Correct 15 ms 84572 KB Output is correct
27 Correct 15 ms 84552 KB Output is correct
28 Correct 21 ms 84824 KB Output is correct
29 Correct 21 ms 85076 KB Output is correct
30 Correct 21 ms 85644 KB Output is correct
31 Correct 22 ms 84572 KB Output is correct
32 Correct 23 ms 85080 KB Output is correct
33 Correct 22 ms 85852 KB Output is correct
34 Correct 29 ms 87388 KB Output is correct

Subtask #5
48.0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 84572 KB Output is correct
2 Correct 13 ms 84572 KB Output is correct
3 Correct 13 ms 84592 KB Output is correct
4 Correct 13 ms 84572 KB Output is correct
5 Correct 13 ms 84572 KB Output is correct
6 Correct 13 ms 84572 KB Output is correct
7 Correct 13 ms 84548 KB Output is correct
8 Correct 14 ms 84540 KB Output is correct
9 Correct 14 ms 84588 KB Output is correct
10 Correct 13 ms 84568 KB Output is correct
11 Correct 13 ms 84572 KB Output is correct
12 Correct 13 ms 84572 KB Output is correct
13 Correct 14 ms 84480 KB Output is correct
14 Correct 14 ms 84572 KB Output is correct
15 Correct 14 ms 84548 KB Output is correct
16 Correct 13 ms 84572 KB Output is correct
17 Correct 14 ms 84540 KB Output is correct
18 Correct 14 ms 84572 KB Output is correct
19 Correct 14 ms 84536 KB Output is correct
20 Correct 14 ms 84568 KB Output is correct
21 Correct 14 ms 84564 KB Output is correct
22 Correct 15 ms 84568 KB Output is correct
23 Correct 15 ms 84572 KB Output is correct
24 Correct 15 ms 84572 KB Output is correct
25 Correct 15 ms 84572 KB Output is correct
26 Correct 15 ms 84572 KB Output is correct
27 Correct 15 ms 84552 KB Output is correct
28 Correct 21 ms 84824 KB Output is correct
29 Correct 21 ms 85076 KB Output is correct
30 Correct 21 ms 85644 KB Output is correct
31 Correct 22 ms 84572 KB Output is correct
32 Correct 23 ms 85080 KB Output is correct
33 Correct 22 ms 85852 KB Output is correct
34 Correct 29 ms 87388 KB Output is correct
35 Correct 67 ms 84568 KB Output is correct
36 Correct 70 ms 95828 KB Output is correct
37 Correct 65 ms 84600 KB Output is correct
38 Correct 64 ms 89372 KB Output is correct
39 Correct 58 ms 93292 KB Output is correct
40 Correct 90 ms 99776 KB Output is correct