Submission #897730

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
897730	2024-01-03T15:44:58 Z	denniskim	NoM (RMI21_nom)	C++17	52 / 100	139 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[4000010];
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);
				
				if(dp[num(i, j)] < 0)
					dp[num(i, j)] += ss;
				while(dp[num(i, j)] > ss)
					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)]);
			
			if(dp[num(i, j)] < 0)
				dp[num(i, j)] += ss;
			while(dp[num(i, j)] > ss)
				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);
			
			if(ans < 0)
				ans += ss;
			while(ans > ss)
				ans -= ss;
		}
		
		else
		{
			ans = (ans + gap);
			
			if(ans < 0)
				ans += ss;
			while(ans > ss)
				ans -= 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	1 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	344 KB	Output is correct
10	Correct	0 ms	600 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	1 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	344 KB	Output is correct
10	Correct	0 ms	600 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	344 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	348 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	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	1 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	344 KB	Output is correct
10	Correct	0 ms	600 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	344 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	348 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	3 ms	348 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	3 ms	1116 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	1 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	344 KB	Output is correct
10	Correct	0 ms	600 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	344 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	348 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	3 ms	348 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	3 ms	1116 KB	Output is correct
28	Correct	20 ms	604 KB	Output is correct
29	Correct	16 ms	2176 KB	Output is correct
30	Correct	14 ms	3420 KB	Output is correct
31	Correct	21 ms	808 KB	Output is correct
32	Correct	18 ms	2140 KB	Output is correct
33	Correct	16 ms	3932 KB	Output is correct
34	Correct	27 ms	6748 KB	Output is correct

Subtask #5
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	1 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	344 KB	Output is correct
10	Correct	0 ms	600 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	1 ms	344 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	1 ms	348 KB	Output is correct
17	Correct	1 ms	512 KB	Output is correct
18	Correct	1 ms	348 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	3 ms	348 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	3 ms	1116 KB	Output is correct
28	Correct	20 ms	604 KB	Output is correct
29	Correct	16 ms	2176 KB	Output is correct
30	Correct	14 ms	3420 KB	Output is correct
31	Correct	21 ms	808 KB	Output is correct
32	Correct	18 ms	2140 KB	Output is correct
33	Correct	16 ms	3932 KB	Output is correct
34	Correct	27 ms	6748 KB	Output is correct
35	Correct	139 ms	720 KB	Output is correct
36	Correct	102 ms	24036 KB	Output is correct
37	Correct	136 ms	580 KB	Output is correct
38	Correct	102 ms	11088 KB	Output is correct
39	Correct	81 ms	18956 KB	Output is correct
40	Incorrect	132 ms	31828 KB	Output isn't correct
41	Halted	0 ms	0 KB	-

Submission #897730

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 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
0 / 48.0