Submission #367776

# Submission time Handle Problem Language Result Execution time Memory
367776 2021-02-18T09:56:02 Z arnold518 Semafor (COI20_semafor) C++14
12 / 100
284 ms 29036 KB
#include <bits/stdc++.h>
using namespace std;

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

const int MAXN = 1500;
const ll MOD = 1e9+7;

const int MM[10]={12, 8, 5, 25, 10, 19, 20, 9, 23, 27};

int M, X;
ll N, K;

Mat operator + (const Mat &p, const Mat &q)
{
	Mat ret;
	int sz=p.size();
	ret=vector<vector<ll>>(sz, vector<ll>(sz));
	for(int i=0; i<sz; i++)
	{
		for(int j=0; j<sz; j++)
		{
			ret[i][j]=0;
			for(int k=0; k<sz; k++)
			{
				ret[i][j]+=p[i][k]*q[k][j]%MOD;
				ret[i][j]%=MOD;
				//if(ret[i][j]>=MOD) ret[i][j]-=MOD;
			}
		}
	}
	return ret;
}

Mat mypow(Mat x, ll y)
{
	if(y==0)
	{
		int sz=x.size();
		Mat ret=vector<vector<ll>>(sz, vector<ll>(sz, 0));
		for(int i=0; i<sz; i++) ret[i][i]=1;
		return ret;
	}
	if(y%2) return mypow(x, y-1)+x;
	Mat ret=mypow(x, y/2);
	return ret+ret;
}

Mat A, B, C;
Mat P[MAXN+10];

ll comb[MAXN+10][MAXN+10];
ll ans[100];

int main()
{
	scanf("%d%lld%lld%d", &M, &N, &K, &X);
	for(int i=1; i<=N; i++)
	{
		for(int j=0; j<=i; j++)
		{
			if(j==0 || j==i) comb[i][j]=1;
			else comb[i][j]=(comb[i-1][j]+comb[i-1][j-1])%MOD;
		}
	}

	A=vector<vector<ll>>(32, vector<ll>(32));
	for(int i=0; i<32; i++)
	{
		for(int j=0; j<32; j++)
		{
			if(__builtin_popcount(i^j)==1) A[i][j]=1;
		}
	}

	P[0]=mypow(A, 0);
	for(int i=1; i<=N; i++)
	{	
		P[i]=P[i-1]+A;
	}

	for(int i=0; i<=N; i++)
	{
		for(int p=0; p<100; p++)
		{
			ans[p]+=P[i][MM[X/10]][MM[p/10]]*P[N-i][MM[X%10]][MM[p%10]]%MOD*comb[N][i]%MOD;
			ans[p]%=MOD;
		}
	}

	for(int i=0; i<100; i++) printf("%lld\n", ans[i]);
	return 0;
/*
	B=mypow(A, K);
	C=mypow(A, N%K);

	P=vector<vector<ll>>(10, vector<ll>(10));
	Q=vector<vector<ll>>(10, vector<ll>(10));

	for(int i=0; i<10; i++)
	{
		for(int j=0; j<10; j++)
		{
			P[i][j]=B[MM[i]][MM[j]];
			Q[i][j]=C[MM[i]][MM[j]];
		}
	}

	R=mypow(P, N/K)+Q;

	for(int i=0; i<10; i++)
	{
		printf("%lld\n", R[X][i]);
	}
*/
}

Compilation message

semafor.cpp: In function 'int main()':
semafor.cpp:60:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   60 |  scanf("%d%lld%lld%d", &M, &N, &K, &X);
      |  ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 364 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 364 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 492 KB Output is correct
2 Correct 18 ms 1772 KB Output is correct
3 Correct 179 ms 17592 KB Output is correct
4 Correct 211 ms 20920 KB Output is correct
5 Correct 208 ms 20972 KB Output is correct
6 Correct 258 ms 24172 KB Output is correct
7 Correct 284 ms 28268 KB Output is correct
8 Correct 276 ms 28140 KB Output is correct
9 Correct 211 ms 19988 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 37 ms 29036 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 37 ms 29036 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 492 KB Output is correct
2 Correct 18 ms 1772 KB Output is correct
3 Correct 179 ms 17592 KB Output is correct
4 Correct 211 ms 20920 KB Output is correct
5 Correct 208 ms 20972 KB Output is correct
6 Correct 258 ms 24172 KB Output is correct
7 Correct 284 ms 28268 KB Output is correct
8 Correct 276 ms 28140 KB Output is correct
9 Correct 211 ms 19988 KB Output is correct
10 Runtime error 37 ms 29036 KB Execution killed with signal 11
11 Halted 0 ms 0 KB -