Submission #897725

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
897725	2024-01-03T15:39:50 Z	denniskim	NoM (RMI21_nom)	C++17	100 / 100	151 ms	31828 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;
ll ans;
ll cou[2010];
ll dp[2010][2010];
ll fac[5010] = {0, }, inv[5010] = {0, };

ll power(ll xx, ll yy)
{
    ll ret = 1;
     
    while(yy > 0)
    {
        if(yy % 2)
            ret = (ret * xx) % ss;
        xx = (xx * xx) % ss;
        yy /= 2;
    }
     
    return ret;
}
 
ll C(ll xx, ll yy)
{
	if(xx < yy)
		return 0;
	
    if(xx == yy || !yy)
        return 1;
    
    long long r = (fac[xx] * inv[xx - yy]) % ss;
    r = (r * inv[yy]) % ss;
    return r;
}

void init(void)
{
	fac[0] = 1;
    fac[1] = 1;
     
    for(ll i = 2 ; i <= 4001 ; i++)
        fac[i] = (fac[i - 1] * i) % ss;
     
    inv[4001] = power(fac[4001], ss - 2);
    
    for(ll i = 4000 ; i >= 0 ; i--)
        inv[i] = (inv[i + 1] * (i + 1)) % ss;
}

int main(void)
{
	fastio
	
	cin >> n >> m;
	
	init();
	
	ll siz = n * 2;
	
	ans = fac[siz];
	
	for(ll i = 1 ; i <= siz ; ++i)
	{
		ll gap = i % m;
		
		if(gap == 0)
			gap = m;
		
		cou[gap]++;
	}
	
	for(ll i = 0 ; i <= m ; ++i)
		dp[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 * 2 <= X && k <= i ; ++k)
				dp[i][j] = (dp[i][j] + dp[i - k][j - 1] * C(X, k * 2) % ss * fac[k * 2] % ss * C(i, k) % ss) % ss;
		}
		
		for(ll j = 1 ; j <= m ; ++j)
			dp[i][j] = (dp[i][j] + dp[i][j - 1]) % ss;
	}
	
	for(ll i = 1 ; i <= n ; ++i)
	{
		ll gap = dp[i][m] * C(n, i) % ss * fac[n * 2 - i * 2] % ss;
		
		if(i & 1)
			ans = (ans - gap) % ss;
		else
			ans = (ans + gap) % ss;
	}
	
	ans = (ans + ss) % ss;
	
	cout << ans;
	return 0;
}

Subtask #1
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	344 KB	Output is correct

Subtask #2
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	344 KB	Output is correct
11	Correct	1 ms	860 KB	Output is correct
12	Correct	1 ms	604 KB	Output is correct
13	Correct	1 ms	604 KB	Output is correct
14	Correct	1 ms	604 KB	Output is correct
15	Correct	1 ms	860 KB	Output is correct
16	Correct	1 ms	860 KB	Output is correct
17	Correct	1 ms	604 KB	Output is correct
18	Correct	1 ms	604 KB	Output is correct
19	Correct	1 ms	860 KB	Output is correct

Subtask #3
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	344 KB	Output is correct
11	Correct	1 ms	860 KB	Output is correct
12	Correct	1 ms	604 KB	Output is correct
13	Correct	1 ms	604 KB	Output is correct
14	Correct	1 ms	604 KB	Output is correct
15	Correct	1 ms	860 KB	Output is correct
16	Correct	1 ms	860 KB	Output is correct
17	Correct	1 ms	604 KB	Output is correct
18	Correct	1 ms	604 KB	Output is correct
19	Correct	1 ms	860 KB	Output is correct
20	Correct	2 ms	1116 KB	Output is correct
21	Correct	1 ms	1116 KB	Output is correct
22	Correct	3 ms	2140 KB	Output is correct
23	Correct	3 ms	1372 KB	Output is correct
24	Correct	5 ms	1980 KB	Output is correct
25	Correct	3 ms	1884 KB	Output is correct
26	Correct	4 ms	1372 KB	Output is correct
27	Correct	4 ms	2396 KB	Output is correct

Subtask #4
18.0 / 18.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	344 KB	Output is correct
11	Correct	1 ms	860 KB	Output is correct
12	Correct	1 ms	604 KB	Output is correct
13	Correct	1 ms	604 KB	Output is correct
14	Correct	1 ms	604 KB	Output is correct
15	Correct	1 ms	860 KB	Output is correct
16	Correct	1 ms	860 KB	Output is correct
17	Correct	1 ms	604 KB	Output is correct
18	Correct	1 ms	604 KB	Output is correct
19	Correct	1 ms	860 KB	Output is correct
20	Correct	2 ms	1116 KB	Output is correct
21	Correct	1 ms	1116 KB	Output is correct
22	Correct	3 ms	2140 KB	Output is correct
23	Correct	3 ms	1372 KB	Output is correct
24	Correct	5 ms	1980 KB	Output is correct
25	Correct	3 ms	1884 KB	Output is correct
26	Correct	4 ms	1372 KB	Output is correct
27	Correct	4 ms	2396 KB	Output is correct
28	Correct	23 ms	2908 KB	Output is correct
29	Correct	19 ms	4700 KB	Output is correct
30	Correct	16 ms	5972 KB	Output is correct
31	Correct	25 ms	3160 KB	Output is correct
32	Correct	21 ms	4928 KB	Output is correct
33	Correct	19 ms	7004 KB	Output is correct
34	Correct	33 ms	10456 KB	Output is correct

Subtask #5
48.0 / 48.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	344 KB	Output is correct
11	Correct	1 ms	860 KB	Output is correct
12	Correct	1 ms	604 KB	Output is correct
13	Correct	1 ms	604 KB	Output is correct
14	Correct	1 ms	604 KB	Output is correct
15	Correct	1 ms	860 KB	Output is correct
16	Correct	1 ms	860 KB	Output is correct
17	Correct	1 ms	604 KB	Output is correct
18	Correct	1 ms	604 KB	Output is correct
19	Correct	1 ms	860 KB	Output is correct
20	Correct	2 ms	1116 KB	Output is correct
21	Correct	1 ms	1116 KB	Output is correct
22	Correct	3 ms	2140 KB	Output is correct
23	Correct	3 ms	1372 KB	Output is correct
24	Correct	5 ms	1980 KB	Output is correct
25	Correct	3 ms	1884 KB	Output is correct
26	Correct	4 ms	1372 KB	Output is correct
27	Correct	4 ms	2396 KB	Output is correct
28	Correct	23 ms	2908 KB	Output is correct
29	Correct	19 ms	4700 KB	Output is correct
30	Correct	16 ms	5972 KB	Output is correct
31	Correct	25 ms	3160 KB	Output is correct
32	Correct	21 ms	4928 KB	Output is correct
33	Correct	19 ms	7004 KB	Output is correct
34	Correct	33 ms	10456 KB	Output is correct
35	Correct	148 ms	7120 KB	Output is correct
36	Correct	118 ms	28480 KB	Output is correct
37	Correct	144 ms	7020 KB	Output is correct
38	Correct	113 ms	17744 KB	Output is correct
39	Correct	96 ms	25168 KB	Output is correct
40	Correct	151 ms	31828 KB	Output is correct

Submission #897725

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