UVa : 579 – Clock Hands


/*
User ID: turing_13
Link: https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=24&page=show_problem&problem=520
*/

#include <stdio.h>
#include <math.h>

int main ()
{
    double time,angle,hour,min;
    char a;
    while(scanf("%lf %c %lf", &hour,&a,&min) != EOF)
    {
        if(hour==0.00 && min==0.00)
            break;
        angle=(min*6)-(hour*30)-(min/2);
        if(angle<0)
            angle=360+angle;
        if(angle>180)
            angle=360-angle;
        printf("%.3lf\n", angle);

    }
    return 0;
}


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USACO: Ordered Fractions

Problem Link : http://train.usaco.org/usacoprob2?a=qBACVBxoOsW&S=frac1


/*
PROG: frac1
LANG: C++
*/

#include <bits/stdc++.h>

#define pii             pair <int,int>
#define sc              scanf
#define pf              printf
#define Pi              2*acos(0.0)
#define ms(a,b)         memset(a, b, sizeof(a))
#define pb(a)           push_back(a)
#define MP              make_pair
#define db              double
#define ll              long long
#define EPS             10E-10
#define ff              first
#define ss              second
#define sqr(x)          (x)*(x)
#define D(x)            cout<<#x " = "<<(x)<<endl
#define VI              vector <int>
#define DBG             pf("Hi\n")
#define MOD             100007
#define MAX             10000
#define CIN             ios_base::sync_with_stdio(0); cin.tie(0)
#define SZ(a)           (int)a.size()
#define sf(a)           scanf("%d",&a)
#define sfl(a)          scanf("%lld",&a)
#define sff(a,b)        scanf("%d %d",&a,&b)
#define sffl(a,b)       scanf("%lld %lld",&a,&b)
#define sfff(a,b,c)     scanf("%d %d %d",&a,&b,&c)
#define sfffl(a,b,c)    scanf("%lld %lld %lld",&a,&b,&c)
#define loop(i,n)       for(int i=0;i<n;i++)
#define REP(i,a,b)      for(int i=a;i<=b;i++)
#define TEST_CASE(t)    for(int z=1;z<=t;z++)
#define PRINT_CASE      printf("Case %d: ",z)
#define all(a)          a.begin(),a.end()
#define intlim          2147483648
#define inf             1000000
#define ull             unsigned long long

using namespace std;


/*----------------------Graph Moves----------------*/
//const int fx[]={+1,-1,+0,+0};
//const int fy[]={+0,+0,+1,-1};
//const int fx[]={+0,+0,+1,-1,-1,+1,-1,+1};   // Kings Move
//const int fy[]={-1,+1,+0,+0,+1,+1,-1,-1};  // Kings Move
//const int fx[]={-2, -2, -1, -1,  1,  1,  2,  2};  // Knights Move
//const int fy[]={-1,  1, -2,  2, -2,  2, -1,  1}; // Knights Move
/*------------------------------------------------*/

/*-----------------------Bitmask------------------*/
//int Set(int N,int pos){return N=N | (1<<pos);}
//int reset(int N,int pos){return N= N & ~(1<<pos);}
//bool check(int N,int pos){return (bool)(N & (1<<pos));}
/*------------------------------------------------*/

int n;

map<double,bool>mp;
vector< pair<double, pii > > v;

int main()
{
    freopen("frac1.in","r",stdin);
    freopen("frac1.out","w",stdout);
    cin>>n;
    mp[0/1.0]=1;
    v.pb(MP(0/1.0,MP(0,1)));

    REP(i,1,n) REP(j,1,n)

    {
        double a=i*1.0;
        double b=j*1.0;
        if(a/b<=1.0)
        {
            if(!mp[a/b])
            {
                mp[a/b]=1;
                v.pb(MP(a/b,MP(i,j)));
            }
        }
    }

    sort(all(v));
    loop(i,SZ(v))
    cout<<v[i].ss.ff<<"/"<<v[i].ss.ss<<endl;
    return 0;
}

USACO: The Castle

Problem Link : http://train.usaco.org/usacoprob2?a=qBACVBxoOsW&S=castle


/*
PROG: castle
LANG: C++
*/

#include <bits/stdc++.h>

#define pii             pair <int,int>
#define sc              scanf
#define pf              printf
#define Pi              2*acos(0.0)
#define ms(a,b)         memset(a, b, sizeof(a))
#define pb(a)           push_back(a)
#define MP              make_pair
#define db              double
#define ll              long long
#define EPS             10E-10
#define ff              first
#define ss              second
#define sqr(x)          (x)*(x)
#define D(x)            cout<<#x " = "<<(x)<<endl
#define VI              vector <int>
#define DBG             pf("Hi\n")
#define MOD             100007
#define MAX             10000
#define CIN             ios_base::sync_with_stdio(0); cin.tie(0)
#define SZ(a)           (int)a.size()
#define sf(a)           scanf("%d",&a)
#define sfl(a)          scanf("%lld",&a)
#define sff(a,b)        scanf("%d %d",&a,&b)
#define sffl(a,b)       scanf("%lld %lld",&a,&b)
#define sfff(a,b,c)     scanf("%d %d %d",&a,&b,&c)
#define sfffl(a,b,c)    scanf("%lld %lld %lld",&a,&b,&c)
#define loop(i,n)       for(int i=0;i<n;i++)
#define REP(i,a,b)      for(int i=a;i<=b;i++)
#define TEST_CASE(t)    for(int z=1;z<=t;z++)
#define PRINT_CASE      printf("Case %d: ",z)
#define all(a)          a.begin(),a.end()
#define intlim          2147483648
#define inf             1000000
#define ull             unsigned long long

using namespace std;


/*----------------------Graph Moves----------------*/
//const int fx[]={+1,-1,+0,+0};
//const int fy[]={+0,+0,+1,-1};
//const int fx[]={+0,+0,+1,-1,-1,+1,-1,+1};   // Kings Move
//const int fy[]={-1,+1,+0,+0,+1,+1,-1,-1};  // Kings Move
//const int fx[]={-2, -2, -1, -1,  1,  1,  2,  2};  // Knights Move
//const int fy[]={-1,  1, -2,  2, -2,  2, -1,  1}; // Knights Move
/*------------------------------------------------*/

/*-----------------------Bitmask------------------*/
//int Set(int N,int pos){return N=N | (1<<pos);}
//int reset(int N,int pos){return N= N & ~(1<<pos);}
bool check(int N,int pos)
{
    return (bool)(N & (1<<pos));
}
/*------------------------------------------------*/

int graph[52][52];
int dp[2505];
int visited[52][52];

int r,c,s,extend=0;

int dfs(int i, int j, int x)
{
//    if(visited[i][j]) return 0;
    visited[i][j]=x;
    int d=0;
    if(!check(graph[i][j],0) && !visited[i][j-1]) d+=1+dfs(i,j-1,x);
    if(!check(graph[i][j],2) && !visited[i][j+1]) d+=1+dfs(i,j+1,x);
    if(!check(graph[i][j],1) && !visited[i-1][j]) d+=1+dfs(i-1,j,x);
    if(!check(graph[i][j],3) && !visited[i+1][j]) d+=1+dfs(i+1,j,x);
    return d;
}

int n,m;

void func(int i, int j,int x)
{
    int t=visited[i][j];
    int d=0;
    if(check(graph[i][j],0) && t!=visited[i][j-1] && j-1>=1)
    {
        d=dp[t]+dp[visited[i][j-1]];
        if(d>extend)
        {
            extend=d;
            r=i,c=j;
            s=0;
        }
        else if(d==extend)
        {
            if(j<c)
            {
                r=i,c=j;
                s=0;
            }
            else if(j==c)
            {
                if(i>r)
                {
                    r=i,j=c;
                    s=0;
                }
            }
        }
    }

    if(check(graph[i][j],2) && t!=visited[i][j+1] && j+1<=m)
    {
        d=dp[t]+dp[visited[i][j+1]];
        if(d>extend)
        {
            extend=d;
            r=i,c=j;
            s=2;
        }
        else if(d==extend)
        {
            if(j<c)
            {
                r=i,c=j;
                s=2;
            }
            else if(j==c)
            {
                if(i>r)
                {
                    r=i,j=c;
                    s=2;
                }
                else if(i==r)
                {
                    if(s!=1)
                    {
                        r=i,j=c;
                        s=2;
                    }
                }
            }
        }
    }

    // if(check(graph[i][j],2) && !visited[i][j+1]) d+=1+dfs(i,j+1,x);
    //if(check(graph[i][j],1) && !visited[i-1][j]) d+=1+dfs(i-1,j,x);
    if(check(graph[i][j],1) && t!=visited[i-1][j] && i-1>=1)
    {
        d=dp[t]+dp[visited[i-1][j]];
        if(d>extend)
        {
            extend=d;
            r=i,c=j;
            s=1;
        }
        else if(d==extend)
        {
            if(j<c)
            {
                r=i,c=j;
                s=1;
            }
            else if(j==c)
            {
                if(i>r)
                {
                    r=i,j=c;
                    s=1;
                }
                else if(i==r)
                {
                    r=i,j=c;
                    s=1;
                }
            }
        }
    }
    //if(check(graph[i][j],3) && !visited[i+1][j]) d+=1+dfs(i+1,j,x);

    if(check(graph[i][j],3) && t!=visited[i+1][j] && i+1<=n)
    {
        d=dp[t]+dp[visited[i+1][j]];
        if(d>extend)
        {
            extend=d;
            r=i,c=j;
            s=3;
        }
        else if(d==extend)
        {
            if(j<c)
            {
                r=i,c=j;
                s=3;
            }
            else if(j==c)
            {
                if(i>r)
                {
                    r=i,j=c;
                    s=3;
                }
            }
        }
    }
}

int main()
{
    freopen("castle.in","r",stdin);
    freopen("castle.out","w",stdout);
    cin>>n>>m;
    swap(n,m);
    REP(i,1,n) REP(j,1,m) cin>>graph[i][j];

    int k=0;
    int ans=-1;
    REP(i,1,n) REP(j,1,m)
    {
        if(!visited[i][j])
        {
            k++;
            dp[k]=dfs(i,j,k)+1;
            ans=max(ans,dp[k]);
        }
    }

    cout<<k<<endl<<ans<<endl;
    REP(i,1,n) REP(j,1,m)
    {
        func(i,j,visited[i][j]);
//        cout<<i<<" "<<j<<" "<<extend<<" "<<s<<endl;
    }
    cout<<extend<<endl;
    cout<<r<<" "<<c;
    if(s==2)pf(" E\n");
    else
        pf(" N\n");
    return 0;
}

USACO: Superprime Rib

Problem Link : http://train.usaco.org/usacoprob2?a=tffkkLavmsp&S=sprime


/*
PROG: sprime
LANG: C++
*/

#include <bits/stdc++.h>

#define pii             pair <int,int>
#define sc              scanf
#define pf              printf
#define Pi              2*acos(0.0)
#define ms(a,b)         memset(a, b, sizeof(a))
#define pb(a)           push_back(a)
#define MP              make_pair
#define db              double
#define ll              long long
#define EPS             10E-10
#define ff              first
#define ss              second
#define sqr(x)          (x)*(x)
#define D(x)            cout<<#x " = "<<(x)<<endl
#define VI              vector <int>
#define DBG             pf("Hi\n")
#define MOD             100007
#define MAX             10000
#define CIN             ios_base::sync_with_stdio(0); cin.tie(0)
#define SZ(a)           (int)a.size()
#define sf(a)           scanf("%d",&a)
#define sfl(a)          scanf("%lld",&a)
#define sff(a,b)        scanf("%d %d",&a,&b)
#define sffl(a,b)       scanf("%lld %lld",&a,&b)
#define sfff(a,b,c)     scanf("%d %d %d",&a,&b,&c)
#define sfffl(a,b,c)    scanf("%lld %lld %lld",&a,&b,&c)
#define loop(i,n)       for(int i=0;i<n;i++)
#define REP(i,a,b)      for(int i=a;i<b;i++)
#define TEST_CASE(t)    for(int z=1;z<=t;z++)
#define PRINT_CASE      printf("Case %d: ",z)
#define all(a)          a.begin(),a.end()
#define intlim          2147483648
#define inf             1000000
#define ull             unsigned long long

using namespace std;


/*----------------------Graph Moves----------------*/
//const int fx[]={+1,-1,+0,+0};
//const int fy[]={+0,+0,+1,-1};
//const int fx[]={+0,+0,+1,-1,-1,+1,-1,+1};   // Kings Move
//const int fy[]={-1,+1,+0,+0,+1,+1,-1,-1};  // Kings Move
//const int fx[]={-2, -2, -1, -1,  1,  1,  2,  2};  // Knights Move
//const int fy[]={-1,  1, -2,  2, -2,  2, -1,  1}; // Knights Move
/*------------------------------------------------*/

/*-----------------------Bitmask------------------*/
//int Set(int N,int pos){return N=N | (1<<pos);}
//int reset(int N,int pos){return N= N & ~(1<<pos);}
//bool check(int N,int pos){return (bool)(N & (1<<pos));}
/*------------------------------------------------*/

vector<ll>v;
int n;

bool isprime(ll n)
{
    if(n==2) return 1;
    if(!(n & 1)) return 0;

    for(int i=3; i*i<=n; i+=2)
        if(n%i==0) return 0;
    return 1;
}

void dfs(ll u,int m)
{
    if(!isprime(u)) return;
    if(m==n)
    {
        v.pb(u);
        return;
    }
    for(int i=1; i<=9; i+=2)
    {
        int x=u*10+i;
        dfs(x,m+1);
    }
}

int main()
{
    freopen("sprime.in","r",stdin);
    freopen("sprime.out","w",stdout);
    cin>>n;
    for(int i=2; i<=9; i++)
        dfs(i,1);
    sort(all(v));
    loop(i,SZ(v)) cout<<v[i]<<endl;
    return 0;
}

USACO : Prime Palindromes

Problem Link : http://train.usaco.org/usacoprob2?a=tffkkLavmsp&S=pprime


/*
PROG: pprime
LANG: C++
*/

#include <bits/stdc++.h>

#define pii             pair <int,int>
#define sc              scanf
#define pf              printf
#define Pi              2*acos(0.0)
#define ms(a,b)         memset(a, b, sizeof(a))
#define pb(a)           push_back(a)
#define MP              make_pair
#define db              double
#define ll              long long
#define EPS             10E-10
#define ff              first
#define ss              second
#define sqr(x)          (x)*(x)
#define D(x)            cout<<#x " = "<<(x)<<endl
#define VI              vector <int>
#define DBG             pf("Hi\n")
#define MOD             100007
#define MAX             10000
#define CIN             ios_base::sync_with_stdio(0); cin.tie(0)
#define SZ(a)           (int)a.size()
#define sf(a)           scanf("%d",&a)
#define sfl(a)          scanf("%lld",&a)
#define sff(a,b)        scanf("%d %d",&a,&b)
#define sffl(a,b)       scanf("%lld %lld",&a,&b)
#define sfff(a,b,c)     scanf("%d %d %d",&a,&b,&c)
#define sfffl(a,b,c)    scanf("%lld %lld %lld",&a,&b,&c)
#define loop(i,n)       for(int i=0;i<n;i++)
#define REP(i,a,b)      for(int i=a;i<=b;i++)
#define TEST_CASE(t)    for(int z=1;z<=t;z++)
#define PRINT_CASE      printf("Case %d: ",z)
#define all(a)          a.begin(),a.end()
#define intlim          2147483648
#define inf             1000000
#define ull             unsigned long long

using namespace std;


/*----------------------Graph Moves----------------*/
//const int fx[]={+1,-1,+0,+0};
//const int fy[]={+0,+0,+1,-1};
//const int fx[]={+0,+0,+1,-1,-1,+1,-1,+1};   // Kings Move
//const int fy[]={-1,+1,+0,+0,+1,+1,-1,-1};  // Kings Move
//const int fx[]={-2, -2, -1, -1,  1,  1,  2,  2};  // Knights Move
//const int fy[]={-1,  1, -2,  2, -2,  2, -1,  1}; // Knights Move
/*------------------------------------------------*/

/*-----------------------Bitmask------------------*/
//int Set(int N,int pos){return N=N | (1<<pos);}
//int reset(int N,int pos){return N= N & ~(1<<pos);}
//bool check(int N,int pos){return (bool)(N & (1<<pos));}
/*------------------------------------------------*/


bool isPrime(ll n)
{
    if(!(n & 1))
        return false;
    else
    {
        int root= sqrt(n);
        for(int i=3; i<=root+1; i+=2)
            if(n%i==0) return false;
    }
    return true;
}


vector<ll>v;

int main()
{
    freopen("pprime.in","r",stdin);
    freopen("pprime.out","w",stdout);

    ll a,b;
    cin>>a>>b;

    bool test=1;

    for(int i=0; i<10 && test; i++)
        for(int j=0; j<10 && test; j++)
            for(int k=0; k<10 && test; k++)
                for(int l=0; l<10 && test; l++)
                {
                    ll palin=10*l+l;
                    if(k)
                    {
                        palin=1000*k+k+palin*10;
                    }
                    if(j)
                    {
                        if(k==0) palin=100000*j+j+palin*100;
                        else
                            palin=100000*j+j+palin*10;
                    }
                    if(i)
                    {
                        if(k==0 && j==0) palin=10000000*i+i+palin*1000;
                        else if(k!=0 && j==0) palin=10000000*i+i+palin*100;
                        else
                            palin=10000000*i+i+palin*10;
                    }
                    if(palin>b)
                    {
                        test=0;
                        break;
                    }
                    if(palin>=a && isPrime(palin))
                        v.pb(palin);
                }

    test=1;

    for(int i=0; i<10 && test; i++)
        for(int j=0; j<10 && test; j++)
            for(int k=0; k<10 && test; k++)
                for(int l=0; l<10 && test; l++)
                {
                    ll palin=l;
                    if(k)
                    {
                        palin=100*k+k+palin*10;
                    }
                    if(j)
                    {
                        if(k==0) palin=10000*j+j+palin*100;
                        else
                            palin=10000*j+j+palin*10;
                    }
                    if(i)
                    {
                        if(k==0 && j==0) palin=1000000*i+i+palin*1000;
                        else if(k!=0 && j==0) palin=1000000*i+i+palin*100;
                        else
                            palin=1000000*i+i+palin*10;
                    }
                    if(palin>b)
                    {
                        test=0;
                        break;
                    }
                    if(palin>=a && isPrime(palin))
                        v.pb(palin);
                }
    sort(all(v));
    loop(i,SZ(v)) cout<<v[i]<<endl;
    return 0;
}


USACO: Number Triangles

Problem Link : http://train.usaco.org/usacoprob2?a=tffkkLavmsp&S=numtri


/*
PROG: numtri
LANG: C++
*/

#include <bits/stdc++.h>

#define pii             pair <int,int>
#define sc              scanf
#define pf              printf
#define Pi              2*acos(0.0)
#define ms(a,b)         memset(a, b, sizeof(a))
#define pb(a)           push_back(a)
#define MP              make_pair
#define db              double
#define ll              long long
#define EPS             10E-10
#define ff              first
#define ss              second
#define sqr(x)          (x)*(x)
#define D(x)            cout<<#x " = "<<(x)<<endl
#define VI              vector <int>
#define DBG             pf("Hi\n")
#define MOD             100007
#define MAX             10000
#define CIN             ios_base::sync_with_stdio(0); cin.tie(0)
#define SZ(a)           (int)a.size()
#define sf(a)           scanf("%d",&a)
#define sfl(a)          scanf("%lld",&a)
#define sff(a,b)        scanf("%d %d",&a,&b)
#define sffl(a,b)       scanf("%lld %lld",&a,&b)
#define sfff(a,b,c)     scanf("%d %d %d",&a,&b,&c)
#define sfffl(a,b,c)    scanf("%lld %lld %lld",&a,&b,&c)
#define loop(i,n)       for(int i=0;i<n;i++)
#define REP(i,a,b)      for(int i=a;i<=b;i++)
#define TEST_CASE(t)    for(int z=1;z<=t;z++)
#define PRINT_CASE      printf("Case %d: ",z)
#define all(a)          a.begin(),a.end()
#define intlim          2147483648
#define inf             1000000
#define ull             unsigned long long

using namespace std;


/*----------------------Graph Moves----------------*/
//const int fx[]={+1,-1,+0,+0};
//const int fy[]={+0,+0,+1,-1};
//const int fx[]={+0,+0,+1,-1,-1,+1,-1,+1};   // Kings Move
//const int fy[]={-1,+1,+0,+0,+1,+1,-1,-1};  // Kings Move
//const int fx[]={-2, -2, -1, -1,  1,  1,  2,  2};  // Knights Move
//const int fy[]={-1,  1, -2,  2, -2,  2, -1,  1}; // Knights Move
/*------------------------------------------------*/

/*-----------------------Bitmask------------------*/
//int Set(int N,int pos){return N=N | (1<<pos);}
//int reset(int N,int pos){return N= N & ~(1<<pos);}
//bool check(int N,int pos){return (bool)(N & (1<<pos));}
/*------------------------------------------------*/

int ara[1005][1005];
int dp[1005][1005];
int r;

int func(int i,int j)
{
    if(i>r || j>r) return 0;

    int &ret=dp[i][j];
    if(ret!=-1) return ret;
    ret=0;
//    return ret=max(ara[i][j]+func(i+1,j),ara[i][j]+func(i+1,j+1));
    return ret=ara[i][j]+max(func(i+1,j),func(i+1,j+1));
}

int main()
{
    CIN;
    freopen("numtri.in","r",stdin);
    freopen("numtri.out","w",stdout);

    cin>>r;
    REP(i,1,r) REP(j,1,i) cin>>ara[i][j];
    ms(dp,-1);
    cout<<func(1,1)<<endl;
    return 0;
}


USACO: Mother’s Milk

Problem Link : http://train.usaco.org/usacoprob2?a=tffkkLavmsp&S=milk3


/*
PROG: milk3
LANG: C++
 */

#include <bits/stdc++.h>

#define pii             pair <int,int>
#define sc              scanf
#define pf              printf
#define Pi              2*acos(0.0)
#define ms(a,b)         memset(a, b, sizeof(a))
#define pb(a)           push_back(a)
#define MP              make_pair
#define db              double
#define ll              long long
#define EPS             10E-10
#define ff              first
#define ss              second
#define sqr(x)          (x)*(x)
#define D(x)            cout<<#x " = "<<(x)<<endl
#define VI              vector <int>
#define DBG             pf("Hi\n")
#define MOD             100007
#define MAX             10000
#define CIN             ios_base::sync_with_stdio(0); cin.tie(0)
#define SZ(a)           (int)a.size()
#define sf(a)           scanf("%d",&a)
#define sfl(a)          scanf("%lld",&a)
#define sff(a,b)        scanf("%d %d",&a,&b)
#define sffl(a,b)       scanf("%lld %lld",&a,&b)
#define sfff(a,b,c)     scanf("%d %d %d",&a,&b,&c)
#define sfffl(a,b,c)    scanf("%lld %lld %lld",&a,&b,&c)
#define loop(i,n)       for(int i=0;i<n;i++)
#define REP(i,a,b)      for(int i=a;i<b;i++)
#define TEST_CASE(t)    for(int z=1;z<=t;z++)
#define PRINT_CASE      printf("Case %d: ",z)
#define all(a)          a.begin(),a.end()
#define intlim          2147483648
#define inf             1000000
#define ull             unsigned long long

using namespace std;


/*----------------------Graph Moves----------------*/
//const int fx[]={+1,-1,+0,+0};
//const int fy[]={+0,+0,+1,-1};
//const int fx[]={+0,+0,+1,-1,-1,+1,-1,+1};   // Kings Move
//const int fy[]={-1,+1,+0,+0,+1,+1,-1,-1};  // Kings Move
//const int fx[]={-2, -2, -1, -1,  1,  1,  2,  2};  // Knights Move
//const int fy[]={-1,  1, -2,  2, -2,  2, -1,  1}; // Knights Move
/*------------------------------------------------*/

/*-----------------------Bitmask------------------*/
//int Set(int N,int pos){return N=N | (1<<pos);}
//int reset(int N,int pos){return N= N & ~(1<<pos);}
//bool check(int N,int pos){return (bool)(N & (1<<pos));}
/*------------------------------------------------*/

struct data
{
    int a,b,c;
    data()
    {
        ;
    }
    data(int x, int y, int z)
    {
        a=x,b=y,c=z;
    }
};

int A,B,C;

bool ans[30];

bool visited[30][30][30];
int first=100;

void BFS(data x)
{
    map<data,bool>mp;
    queue<data>Q;
    visited[x.a][x.b][x.c]=1;
    Q.push(x);
    while(!Q.empty())
    {
        data u=Q.front();
        Q.pop();
        if(u.a==0) ans[u.c]=1,first=min(first,u.c);
        int bb=B-u.b,aa=A-u.a,cc=C-u.c;
        if(u.c)
        {
            data c2b=u,c2a=u;
            if(bb>=u.c)
            {
                c2b.b+=u.c;
                c2b.c=0;
            }
            else if(bb<u.c)
            {
                c2b.b=B;
                c2b.c-=bb;
            }

            if(aa>=u.c)
            {
                c2a.a+=u.c;
                c2a.c=0;
            }
            else if(aa<u.c)
            {
                c2a.a=A;
                c2a.c-=aa;
            }
            if(!visited[c2b.a][c2b.b][c2b.c])
            {
                Q.push(c2b);
                visited[c2b.a][c2b.b][c2b.c]=1;
            }
            if(!visited[c2a.a][c2a.b][c2a.c])
            {
                Q.push(c2a);
                visited[c2b.a][c2b.b][c2b.c]=1;
            }
        }

        if(u.b)
        {
            data b2a=u,b2c=u;
            if(aa>=u.b)
            {
                b2a.a+=u.b;
                b2a.b=0;
            }
            else
            {
                b2a.a=A;
                b2a.b-=aa;
            }
            if(cc>=u.b)
            {
                b2c.c+=u.b;
                b2c.b=0;
            }
            else
            {
                b2c.c=C;
                b2c.b-=cc;
            }
            if(!visited[b2a.a][b2a.b][b2a.c])
            {
                visited[b2a.a][b2a.b][b2a.c]=1;
                Q.push(b2a);
            }
            if(!visited[b2c.a][b2c.b][b2c.c])
            {
                visited[b2c.a][b2c.b][b2c.c]=1;
                Q.push(b2c);
            }
        }

        if(u.a)
        {
            data a2b=u,a2c=u;
            if(bb>=u.a)
            {
                a2b.b+=u.a;
                a2b.a=0;
            }
            else
            {
                a2b.b=B;
                a2b.a-=bb;
            }
            if(cc>=u.a)
            {
                a2c.c+=u.a;
                a2c.a=0;
            }
            else
            {
                a2c.c=C;
                a2c.c-=cc;
            }
            if(!visited[a2c.a][a2c.b][a2c.c])
            {
                visited[a2c.a][a2c.b][a2c.c]=1;
                Q.push(a2c);
            }
            if(!visited[a2b.a][a2b.b][a2b.c])
            {
                visited[a2b.a][a2b.b][a2b.c]=1;
                Q.push(a2b);
            }
        }

    }
}

int main()
{
    freopen("milk3.in","r",stdin);
    freopen("milk3.out","w",stdout);
    cin>>A>>B>>C;
    BFS(data(0,0,C));

    cout<<first;
    for(int i=first+1; i<=C; i++) if(ans[i]) cout<<" "<<i;
    cout<<endl;
    return 0;
}