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Submission #365444

# Submission time Handle Problem Language Result Execution time Memory
365444 2021-02-11T17:02:44 Z arnold518 None (JOI16_solitaire) C++14
80 / 100
 2000 ms 12268 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 6000;
const ll MOD = 1e9+7;

int N, cnt;
char S[4][MAXN+10];
int A[4][MAXN+10];
int B[MAXN+10];
ll fac[MAXN+10], ifac[MAXN+10];

ll ans;
ll dp1[MAXN+10][MAXN+10], dp2[MAXN+10][MAXN+10];

ll mypow(ll x, ll y)
{
	if(y==0) return 1;
	if(y%2) return mypow(x, y-1)*x%MOD;
	ll t=mypow(x, y/2);
	return t*t%MOD;
}

ll inv(ll x)
{
	return mypow(x, MOD-2);
}

ll ncr(ll n, ll r)
{
	if(n<r) return 0;
	return fac[n]*ifac[r]%MOD*ifac[n-r]%MOD;
}

ll npr(ll n, ll r)
{
	if(n<r) return 0;
	return fac[n]*ifac[n-r]%MOD;
}

int main()
{
	fac[0]=1; ifac[0]=1;
	for(int i=1; i<=MAXN; i++) fac[i]=fac[i-1]*i%MOD;
	for(int i=1; i<=MAXN; i++) ifac[i]=inv(fac[i]);

	scanf("%d", &N);
	scanf(" %s", S[1]+1);
	scanf(" %s", S[2]+1);
	scanf(" %s", S[3]+1);
	for(int i=1; i<=N; i++)
	{
		A[1][i]=(S[1][i]=='x');
		A[2][i]=(S[2][i]=='x');
		A[3][i]=(S[3][i]=='x');
	}

	A[1][0]=1; A[1][N+1]=1;
	A[2][0]=1; A[2][N+1]=1;
	A[3][0]=1; A[3][N+1]=1;
	for(int i=1; i<=N; i++)
	{
		if(A[1][i])
		{
			if(A[1][i-1] || A[1][i+1])
			{
				return !printf("0\n");
			}
		}
	}
	for(int i=1; i<=N; i++)
	{
		if(A[3][i])
		{
			if(A[3][i-1] || A[3][i+1])
			{
				return !printf("0\n");
			}
		}
	}

	int cnt=0;
	for(int i=1; i<=N; i++)
	{
		if(A[2][i]==0)
		{
			B[i]=-1;
			cnt+=A[1][i]+A[3][i];
		}
		else
		{
			B[i]=A[1][i]+A[3][i];
		}
	}

	int sz=0;
	vector<ll> V;
	vector<int> VV;
	VV.push_back(0);
	for(int i=1; i<=N; i++) if(B[i]==-1) VV.push_back(i);
	VV.push_back(N+1);
	
	sz=cnt;
	ans=fac[cnt];
	for(int i=0; i+1<VV.size(); i++)
	{
		int l=VV[i]+1, r=VV[i+1]-1;
		if(l>r) continue;

		int val=0;
		for(int j=1; j<=B[l]; j++) dp1[l][j]=fac[B[l]];
		dp2[l][B[l]+1]=fac[B[l]];
		val+=B[l]+1;

		if(l==1)
		{
			for(int j=1; j<=B[l]; j++) dp1[l][j]=0;
		}

		for(int j=l+1; j<=r; j++)
		{
			for(int k=1; k<=val+B[j]+1; k++)
			{
				for(int p=B[j]; p<=B[j]; p++)
				{
					ll t=ncr(B[j], p)*npr(k-1, p)%MOD*npr(val+B[j]+1-k, B[j]-p)%MOD;
					for(int q=1; q<=val; q++)
					{
						dp2[j][k]+=dp2[j-1][q]*t%MOD;
						dp2[j][k]%=MOD;
					}
					for(int q=k-p; q<=val; q++)
					{
						dp2[j][k]+=dp1[j-1][q]*t%MOD;
						dp2[j][k]%=MOD;
					}
				}
				for(int p=0; p<B[j]; p++)
				{
					ll t=ncr(B[j], p)*npr(k-1, p)%MOD*npr(val+B[j]+1-k, B[j]-p)%MOD;
					for(int q=0; q<k-p; q++)
					{
						dp1[j][k]+=dp2[j-1][q]*t%MOD;
						dp1[j][k]%=MOD;
					}
				}
			}

			val+=B[j]+1;
		}

		ll t=0;
		for(int j=1; j<=val; j++)
		{
			if(r!=N)
			{
				t+=dp1[r][j];
				t%=MOD;
			}
			t+=dp2[r][j];
			t%=MOD;
		}
		ans=ans*ncr(sz+val, sz)%MOD*t%MOD;
		sz+=val;
	}

	printf("%lld\n", ans);
}

Compilation message

solitaire.cpp: In function 'int main()':
solitaire.cpp:109:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  109 |  for(int i=0; i+1<VV.size(); i++)
      |               ~~~^~~~~~~~~~
solitaire.cpp:51:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   51 |  scanf("%d", &N);
      |  ~~~~~^~~~~~~~~~
solitaire.cpp:52:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   52 |  scanf(" %s", S[1]+1);
      |  ~~~~~^~~~~~~~~~~~~~~
solitaire.cpp:53:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   53 |  scanf(" %s", S[2]+1);
      |  ~~~~~^~~~~~~~~~~~~~~
solitaire.cpp:54:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   54 |  scanf(" %s", S[3]+1);
      |  ~~~~~^~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 492 KB Output is correct
2 Correct 3 ms 492 KB Output is correct
3 Correct 2 ms 492 KB Output is correct
4 Correct 2 ms 492 KB Output is correct
5 Correct 3 ms 492 KB Output is correct
6 Correct 3 ms 492 KB Output is correct
7 Correct 2 ms 492 KB Output is correct
8 Correct 2 ms 492 KB Output is correct
9 Correct 2 ms 492 KB Output is correct
10 Correct 2 ms 492 KB Output is correct
11 Correct 2 ms 492 KB Output is correct
12 Correct 2 ms 492 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 3564 KB Output is correct
2 Correct 6 ms 6124 KB Output is correct
3 Correct 4 ms 2540 KB Output is correct
4 Correct 8 ms 8172 KB Output is correct
5 Correct 7 ms 7660 KB Output is correct
6 Correct 8 ms 7276 KB Output is correct
7 Correct 6 ms 4972 KB Output is correct
8 Correct 8 ms 8172 KB Output is correct
9 Correct 8 ms 8428 KB Output is correct
10 Correct 5 ms 4844 KB Output is correct
11 Correct 6 ms 6380 KB Output is correct
12 Correct 8 ms 8300 KB Output is correct
13 Correct 277 ms 10604 KB Output is correct
14 Correct 505 ms 11264 KB Output is correct
15 Correct 815 ms 11756 KB Output is correct
16 Correct 308 ms 10712 KB Output is correct
17 Correct 801 ms 11756 KB Output is correct
18 Correct 478 ms 11116 KB Output is correct
19 Correct 689 ms 11372 KB Output is correct
20 Correct 812 ms 11548 KB Output is correct
21 Correct 767 ms 11628 KB Output is correct
22 Correct 1117 ms 12268 KB Output is correct
23 Correct 742 ms 11788 KB Output is correct
24 Correct 896 ms 12012 KB Output is correct
25 Correct 890 ms 12140 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 492 KB Output is correct
2 Correct 2 ms 492 KB Output is correct
3 Correct 2 ms 492 KB Output is correct
4 Correct 2 ms 492 KB Output is correct
5 Correct 2 ms 492 KB Output is correct
6 Correct 2 ms 492 KB Output is correct
7 Correct 3 ms 512 KB Output is correct
8 Correct 2 ms 492 KB Output is correct
9 Correct 2 ms 492 KB Output is correct
10 Correct 2 ms 492 KB Output is correct
11 Correct 2 ms 492 KB Output is correct
12 Correct 2 ms 492 KB Output is correct
13 Correct 3 ms 620 KB Output is correct
14 Correct 3 ms 620 KB Output is correct
15 Correct 3 ms 620 KB Output is correct
16 Correct 3 ms 620 KB Output is correct
17 Correct 3 ms 748 KB Output is correct
18 Correct 3 ms 620 KB Output is correct
19 Correct 3 ms 620 KB Output is correct
20 Correct 3 ms 620 KB Output is correct
21 Correct 3 ms 620 KB Output is correct
22 Correct 3 ms 620 KB Output is correct
23 Correct 3 ms 620 KB Output is correct
24 Correct 3 ms 620 KB Output is correct

Subtask #4
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 492 KB Output is correct
2 Correct 3 ms 492 KB Output is correct
3 Correct 2 ms 492 KB Output is correct
4 Correct 2 ms 492 KB Output is correct
5 Correct 3 ms 492 KB Output is correct
6 Correct 3 ms 492 KB Output is correct
7 Correct 2 ms 492 KB Output is correct
8 Correct 2 ms 492 KB Output is correct
9 Correct 2 ms 492 KB Output is correct
10 Correct 2 ms 492 KB Output is correct
11 Correct 2 ms 492 KB Output is correct
12 Correct 2 ms 492 KB Output is correct
13 Correct 3 ms 492 KB Output is correct
14 Correct 2 ms 492 KB Output is correct
15 Correct 2 ms 492 KB Output is correct
16 Correct 2 ms 492 KB Output is correct
17 Correct 2 ms 492 KB Output is correct
18 Correct 2 ms 492 KB Output is correct
19 Correct 3 ms 512 KB Output is correct
20 Correct 2 ms 492 KB Output is correct
21 Correct 2 ms 492 KB Output is correct
22 Correct 2 ms 492 KB Output is correct
23 Correct 2 ms 492 KB Output is correct
24 Correct 2 ms 492 KB Output is correct
25 Correct 3 ms 620 KB Output is correct
26 Correct 3 ms 620 KB Output is correct
27 Correct 3 ms 620 KB Output is correct
28 Correct 3 ms 620 KB Output is correct
29 Correct 3 ms 748 KB Output is correct
30 Correct 3 ms 620 KB Output is correct
31 Correct 3 ms 620 KB Output is correct
32 Correct 3 ms 620 KB Output is correct
33 Correct 3 ms 620 KB Output is correct
34 Correct 3 ms 620 KB Output is correct
35 Correct 3 ms 620 KB Output is correct
36 Correct 3 ms 620 KB Output is correct
37 Correct 3 ms 620 KB Output is correct
38 Correct 3 ms 876 KB Output is correct
39 Correct 3 ms 620 KB Output is correct
40 Correct 3 ms 1644 KB Output is correct
41 Correct 3 ms 1132 KB Output is correct
42 Correct 3 ms 1260 KB Output is correct
43 Correct 3 ms 1516 KB Output is correct
44 Correct 3 ms 1132 KB Output is correct
45 Correct 3 ms 1644 KB Output is correct
46 Correct 3 ms 1388 KB Output is correct
47 Correct 3 ms 1516 KB Output is correct
48 Correct 3 ms 1772 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 492 KB Output is correct
2 Correct 3 ms 492 KB Output is correct
3 Correct 2 ms 492 KB Output is correct
4 Correct 2 ms 492 KB Output is correct
5 Correct 3 ms 492 KB Output is correct
6 Correct 3 ms 492 KB Output is correct
7 Correct 2 ms 492 KB Output is correct
8 Correct 2 ms 492 KB Output is correct
9 Correct 2 ms 492 KB Output is correct
10 Correct 2 ms 492 KB Output is correct
11 Correct 2 ms 492 KB Output is correct
12 Correct 2 ms 492 KB Output is correct
13 Correct 5 ms 3564 KB Output is correct
14 Correct 6 ms 6124 KB Output is correct
15 Correct 4 ms 2540 KB Output is correct
16 Correct 8 ms 8172 KB Output is correct
17 Correct 7 ms 7660 KB Output is correct
18 Correct 8 ms 7276 KB Output is correct
19 Correct 6 ms 4972 KB Output is correct
20 Correct 8 ms 8172 KB Output is correct
21 Correct 8 ms 8428 KB Output is correct
22 Correct 5 ms 4844 KB Output is correct
23 Correct 6 ms 6380 KB Output is correct
24 Correct 8 ms 8300 KB Output is correct
25 Correct 277 ms 10604 KB Output is correct
26 Correct 505 ms 11264 KB Output is correct
27 Correct 815 ms 11756 KB Output is correct
28 Correct 308 ms 10712 KB Output is correct
29 Correct 801 ms 11756 KB Output is correct
30 Correct 478 ms 11116 KB Output is correct
31 Correct 689 ms 11372 KB Output is correct
32 Correct 812 ms 11548 KB Output is correct
33 Correct 767 ms 11628 KB Output is correct
34 Correct 1117 ms 12268 KB Output is correct
35 Correct 742 ms 11788 KB Output is correct
36 Correct 896 ms 12012 KB Output is correct
37 Correct 890 ms 12140 KB Output is correct
38 Correct 3 ms 492 KB Output is correct
39 Correct 2 ms 492 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 2 ms 492 KB Output is correct
42 Correct 2 ms 492 KB Output is correct
43 Correct 2 ms 492 KB Output is correct
44 Correct 3 ms 512 KB Output is correct
45 Correct 2 ms 492 KB Output is correct
46 Correct 2 ms 492 KB Output is correct
47 Correct 2 ms 492 KB Output is correct
48 Correct 2 ms 492 KB Output is correct
49 Correct 2 ms 492 KB Output is correct
50 Correct 3 ms 620 KB Output is correct
51 Correct 3 ms 620 KB Output is correct
52 Correct 3 ms 620 KB Output is correct
53 Correct 3 ms 620 KB Output is correct
54 Correct 3 ms 748 KB Output is correct
55 Correct 3 ms 620 KB Output is correct
56 Correct 3 ms 620 KB Output is correct
57 Correct 3 ms 620 KB Output is correct
58 Correct 3 ms 620 KB Output is correct
59 Correct 3 ms 620 KB Output is correct
60 Correct 3 ms 620 KB Output is correct
61 Correct 3 ms 620 KB Output is correct
62 Correct 3 ms 620 KB Output is correct
63 Correct 3 ms 876 KB Output is correct
64 Correct 3 ms 620 KB Output is correct
65 Correct 3 ms 1644 KB Output is correct
66 Correct 3 ms 1132 KB Output is correct
67 Correct 3 ms 1260 KB Output is correct
68 Correct 3 ms 1516 KB Output is correct
69 Correct 3 ms 1132 KB Output is correct
70 Correct 3 ms 1644 KB Output is correct
71 Correct 3 ms 1388 KB Output is correct
72 Correct 3 ms 1516 KB Output is correct
73 Correct 3 ms 1772 KB Output is correct
74 Correct 7 ms 6656 KB Output is correct
75 Correct 5 ms 3564 KB Output is correct
76 Correct 5 ms 4108 KB Output is correct
77 Correct 9 ms 9068 KB Output is correct
78 Correct 10 ms 9324 KB Output is correct
79 Correct 6 ms 5740 KB Output is correct
80 Correct 9 ms 8940 KB Output is correct
81 Correct 7 ms 7788 KB Output is correct
82 Correct 9 ms 9068 KB Output is correct
83 Correct 6 ms 5996 KB Output is correct
84 Correct 5 ms 5100 KB Output is correct
85 Correct 8 ms 8044 KB Output is correct
86 Execution timed out 2072 ms 8636 KB Time limit exceeded
87 Halted 0 ms 0 KB -