Submission #897735

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
897735	2024-01-03T15:47:32 Z	denniskim	NoM (RMI21_nom)	C++17	100 / 100	150 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[9000010];
ll fac[5010] = {0, }, inv[5010] = {0, };
 
ll num(ll X, ll Y)
{
	return X * (m + 1) + Y;
}
 
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 <= 4500 ; i++)
        fac[i] = (fac[i - 1] * i) % ss;
     
    inv[4500] = power(fac[4500], ss - 2);
    
    for(ll i = 4499 ; 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[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 * 2 <= X && k <= i ; ++k)
				dp[num(i, j)] = (dp[num(i, j)] + dp[num(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[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 = 1 ; i <= n ; ++i)
	{
		ll gap = dp[num(i, m)] * C(n, i) % ss * fac[n * 2 - i * 2] % 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	1 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 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	344 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct

Subtask #2
12.0 / 12.0

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

Subtask #3
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 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	344 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	344 KB	Output is correct
18	Correct	1 ms	344 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	2 ms	348 KB	Output is correct
21	Correct	1 ms	604 KB	Output is correct
22	Correct	3 ms	860 KB	Output is correct
23	Correct	4 ms	720 KB	Output is correct
24	Correct	4 ms	860 KB	Output is correct
25	Correct	3 ms	856 KB	Output is correct
26	Correct	4 ms	348 KB	Output is correct
27	Correct	4 ms	1116 KB	Output is correct

Subtask #4
18.0 / 18.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 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	344 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	344 KB	Output is correct
18	Correct	1 ms	344 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	2 ms	348 KB	Output is correct
21	Correct	1 ms	604 KB	Output is correct
22	Correct	3 ms	860 KB	Output is correct
23	Correct	4 ms	720 KB	Output is correct
24	Correct	4 ms	860 KB	Output is correct
25	Correct	3 ms	856 KB	Output is correct
26	Correct	4 ms	348 KB	Output is correct
27	Correct	4 ms	1116 KB	Output is correct
28	Correct	22 ms	604 KB	Output is correct
29	Correct	18 ms	2140 KB	Output is correct
30	Correct	15 ms	3444 KB	Output is correct
31	Correct	22 ms	344 KB	Output is correct
32	Correct	20 ms	2148 KB	Output is correct
33	Correct	19 ms	3932 KB	Output is correct
34	Correct	31 ms	6844 KB	Output is correct

Subtask #5
48.0 / 48.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 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	344 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	344 KB	Output is correct
18	Correct	1 ms	344 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	2 ms	348 KB	Output is correct
21	Correct	1 ms	604 KB	Output is correct
22	Correct	3 ms	860 KB	Output is correct
23	Correct	4 ms	720 KB	Output is correct
24	Correct	4 ms	860 KB	Output is correct
25	Correct	3 ms	856 KB	Output is correct
26	Correct	4 ms	348 KB	Output is correct
27	Correct	4 ms	1116 KB	Output is correct
28	Correct	22 ms	604 KB	Output is correct
29	Correct	18 ms	2140 KB	Output is correct
30	Correct	15 ms	3444 KB	Output is correct
31	Correct	22 ms	344 KB	Output is correct
32	Correct	20 ms	2148 KB	Output is correct
33	Correct	19 ms	3932 KB	Output is correct
34	Correct	31 ms	6844 KB	Output is correct
35	Correct	145 ms	604 KB	Output is correct
36	Correct	115 ms	23960 KB	Output is correct
37	Correct	141 ms	592 KB	Output is correct
38	Correct	110 ms	11032 KB	Output is correct
39	Correct	91 ms	19024 KB	Output is correct
40	Correct	150 ms	31828 KB	Output is correct

Submission #897735

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