Submission #448272

#	Time	Username	Problem	Language	Result	Execution time	Memory
448272		stefantaga	Energetic turtle (IZhO11_turtle)	C++14	90 / 100	2087 ms	1488 KiB

turtle

#include <bits/stdc++.h>

using namespace std;
int frec[600005];
int fr[1005][1005],din[1005][1005][21];
long long k,t,z,n,m;
struct wow
{
    int x,y;
} v[105];
vector <int> prime;
bool c[600005];
long long lim;
long long ridput (long long a,long long b)
{
    if (b==0)
    {
        return 1;
    }
    long long rez=ridput(a,b/2);
    if (b%2==0)
    {
        return (rez*rez)%z;
    }
    return ((rez*rez)%z*a)%z;
}
void adauga(int n,int val)
{
    int j;
    for (j=0; j<(int)prime.size(); j++)
    {
        long long p=prime[j];
        while (p<=n)
        {
            long long sal=(n/p);
            frec[j]=frec[j]+1LL*sal*val;
            p=p*prime[j];
        }
    }
}
long long combinari(int k,int n)
{
    int j;
    for (j=0; j<(int)prime.size(); j++)
    {
        frec[j]=0;
    }
    adauga(n,1);
    adauga(k,-1);
    adauga(n-k,-1);
    long long p=1;
    for (j=0; j<(int)prime.size(); j++)
    {
        p=(p*ridput(prime[j],frec[j]))%z;
    }
    return p;
}
bool dif (int x,int y,int x2,int y2)
{
    if (x!=x2||y!=y2)
    {
        return 1;
    }
    return 0;
}
bool nimic(int x,int y,int x2,int y2)
{
    for (int i=1; i<=k; i++)
    {
        if (dif(v[i].x,v[i].y,x,y)==1&&dif(v[i].x,v[i].y,x2,y2)==1)
        {
            if (x<=v[i].x&&v[i].x<=x2&&y<=v[i].y&&v[i].y<=y2)
            {
                return 0;
            }
        }
    }
    return 1;
}
map <pair <int,int> ,long long > mr;
long long nimicpr[105][105];
long long nr(int st,int dr)
{
    int x=v[st].x;
    int y=v[st].y;
    int x2=v[dr].x;
    int y2=v[dr].y;
    if (x>x2||y>y2)
    {
        swap(st,dr);
        swap(x,x2);
        swap(y,y2);
    }
    long long inc=combinari(x2-x,x2-x+y2-y);
    if (nimic(x,y,x2,y2)==1)
    {
        return combinari(x2-x,x2-x+y2-y);
    }
    if (mr.find({st,dr})!=mr.end())
    {
            return mr[{st,dr}];
    }
    for (int i=1;i<=k;i++)
    {
        if (dif(v[i].x,v[i].y,x,y)==1&&dif(v[i].x,v[i].y,x2,y2)==1)
        {
            if (x<=v[i].x&&v[i].x<=x2&&y<=v[i].y&&v[i].y<=y2)
            {
                inc=(inc-(1LL*nr(st,i)*combinari(x2-v[i].x,x2-v[i].x+y2-v[i].y))%z+z)%z;
            }
        }
    }
    mr[{st,dr}]=mr[{dr,st}]=inc;
    return inc;
}
long long brut()
{
    int i,j;
    for (i=1; i<=k; i++)
    {
        fr[v[i].x][v[i].y]=1;
    }
    din[1][1][0]=1;
    for (i=1; i<=n; i++)
    {
        for (j=1; j<=m; j++)
        {
            if (i!=1||j!=1)
            {
                for (int r=fr[i][j]; r<=k; r++)
                {
                    din[i][j][r]=(din[i][j][r]+din[i-1][j][r-fr[i][j]]+din[i][j-1][r-fr[i][j]])%z;
                }
            }
        }
    }
    long long sum=0;
    for (int r=0; r<=t; r++)
    {
        sum=(sum+din[n][m][r])%z;
    }
    return sum;
}
bool compare(int a,int b)
{
    return v[a].x<v[b].x||(v[a].x==v[b].x&&v[a].y<v[b].y);
}
long long i,j,dist[105][105];
int main()
{
    ios_base :: sync_with_stdio(false);
    cin.tie(0);
#ifdef HOME
    ifstream cin("turtle.in");
    ofstream cout("turtle.out");
#endif // HOME
    cin>>n>>m>>k>>t>>z;
    n++;
    m++;
    lim=600000;
    c[0]=c[1]=1;
    for (i=2; i<=lim; i++)
    {
        if (c[i]==0)
        {
            prime.push_back(i);
            for (j=i*i; j<=lim; j+=i)
            {
                c[j]=1;
            }
        }
    }
    for (i=1; i<=k; i++)
    {
        cin>>v[i].x>>v[i].y;
        v[i].x++;
        v[i].y++;
    }
    v[0].x=1;
    v[0].y=1;
    v[k+1].x=n;
    v[k+1].y=m;
    lim=(1<<k);
    for (i=0;i<=k+1;i++)
    {
        for (j=0;j<=k+1;j++)
        {
            if (i!=j)
            {
                dist[i][j]=dist[j][i]=nr(i,j);
            }
        }
    }
    long long sum=nr(0,k+1);
    for (int i=1;i<lim;i++)
    {
        vector <int> sol;
        for (int j=0;j<k;j++)
        {
            if (i&(1<<j))
            {
                sol.push_back(j+1);
            }
        }
        int ok=1;
        sort (sol.begin(),sol.end(),compare);
        for (int j=1;j<sol.size();j++)
        {
            if (v[sol[j-1]].y>v[sol[j]].y)
            {
                ok=0;
                break;
            }
        }
        if (sol.size()>t)
        {
            ok=0;
        }
        if (ok==0)
        {
            continue;
        }
        long long p=dist[0][sol[0]];
        for (int j=1;j<sol.size();j++)
        {
            p=(p*dist[sol[j-1]][sol[j]])%z;
        }
        int ult=(int)sol.size()-1;
        p=(p*dist[sol[ult]][k+1])%z;
        sum=(sum+p)%z;
    }
    //cout<<brut()<<'\n';
    cout<<sum;
    return 0;
}

Compilation message (stderr)

turtle.cpp: In function 'int main()':
turtle.cpp:207:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  207 |         for (int j=1;j<sol.size();j++)
      |                      ~^~~~~~~~~~~
turtle.cpp:215:23: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
  215 |         if (sol.size()>t)
      |             ~~~~~~~~~~^~
turtle.cpp:224:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  224 |         for (int j=1;j<sol.size();j++)
      |                      ~^~~~~~~~~~~

• Subtask 1: 90 / 100