UVa 1314 – Hidden Password

0

Problem Link : https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=24&page=show_problem&problem=4060

Solution Idea: Concatenate the input string with itself and find the suffix array. Answer will be the smallest string in suffix array which lie between index 0 to n-1 and which index is smaller.


#include <bits/stdc++.h>

#define pii              pair <int,int>
#define pll              pair <long long,long long>
#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              1000000007
#define CIN              ios_base::sync_with_stdio(0); cin.tie(0); cout.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 stlloop(v)       for(__typeof(v.begin()) it=v.begin();it!=v.end();it++)
#define loop(i,n)        for(int i=0;i<n;i++)
#define loop1(i,n)       for(int i=1;i<=n;i++)
#define REP(i,a,b)       for(int i=a;i<b;i++)
#define RREP(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 LINE_PRINT_CASE  printf("Case %d:\n",z)
#define CASE_PRINT       cout<<"Case "<<z<<": "
#define all(a)           a.begin(),a.end()
#define intlim           2147483648
#define infinity         (1<<28)
#define ull              unsigned long long
#define gcd(a, b)        __gcd(a, b)
#define lcm(a, b)        ((a)*((b)/gcd(a,b)))

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));}
/*------------------------------------------------*/


char ara[100005];

struct data
{
    pii rank;
    int pos;
};

bool cmp(data a, data b)
{
    return a.rank<b.rank;
}

int suffix_ara[200005];

int position[200005];

int main()
{

//    freopen("in.txt","r",stdin);
//	  freopen("out.txt","w",stdout);

    int t;
    sf(t);
    TEST_CASE(t)
    {
        int n;
        sf(n);
        getchar();
        gets(ara);
        string str=ara;
        str+=str;
        n*=2;
        for(int i=0;i<n;i++)
        {
            position[i]=str[i]-'a';
        }

        for(int steep=1;steep<n;steep*=2)
        {
            vector<data>v(n);
            for(int i=0;i<n;i++)
            {
                int a=position[i];
                int b;
                if(i+steep>=n)
                    b=100000000;
                else
                    b=position[i+steep];
                v[i].rank=pii(a,b);
                v[i].pos=i;
            }

            sort(all(v),cmp);

            position[v[0].pos]=0;
            suffix_ara[0]=v[0].pos;

            for(int i=1;i<n;i++)
            {
                suffix_ara[i]=v[i].pos;
                if(v[i].rank==v[i-1].rank)
                    position[v[i].pos]=position[v[i-1].pos];
                else
                    position[v[i].pos]=i;
            }
        }

        for(int i=0;i<n;i++)
        {
            if(suffix_ara[i]<n/2)
            {
                pf("%d\n",suffix_ara[i]);
//                pf("%s\n",str.substr(suffix_ara[i]).c_str());
                break;
            }
        }
    }

    return 0;
}

SPOJ: AMR10E – Stocks Prediction

0

Problem Link : http://www.spoj.com/problems/AMR10E/


#include <bits/stdc++.h>

#define pii              pair <int,int>
#define pll              pair <long long,long long>
#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              1000000007
#define CIN              ios_base::sync_with_stdio(0); cin.tie(0); cout.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 stlloop(v)       for(__typeof(v.begin()) it=v.begin();it!=v.end();it++)
#define loop(i,n)        for(int i=0;i<n;i++)
#define loop1(i,n)       for(int i=1;i<=n;i++)
#define REP(i,a,b)       for(int i=a;i<b;i++)
#define RREP(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 LINE_PRINT_CASE  printf("Case %d:\n",z)
#define CASE_PRINT       cout<<"Case "<<z<<": "
#define all(a)           a.begin(),a.end()
#define intlim           2147483648
#define infinity         (1<<28)
#define ull              unsigned long long
#define gcd(a, b)        __gcd(a, b)
#define lcm(a, b)        ((a)*((b)/gcd(a,b)))

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));}
/*------------------------------------------------*/



/*----------------------Matrix-----------------------*/

// int MOD=
ll MOD= 1000000007;

struct matrix
{
    ll mat[11][11];
    int row,col;

    matrix()
    {
        row=col=0;
        memset(mat,0,sizeof mat);
    }
    matrix(int a, int b)
    {
        row=a,col=b;
        memset(mat,0,sizeof mat);
    }

    matrix operator*(const matrix &p) const
    {
        assert(col == p.row);
        matrix temp;
        temp.row = row;
        temp.col = p.col;
        for (int i = 0; i < temp.row; i++)
        {
            for (int j = 0; j < temp.col; j++)
            {
                ll sum = 0;
                for (int k = 0; k <col;  k++)
                {
                    sum += ((mat[i][k]%MOD) * (p.mat[k][j]%MOD))%MOD;
                    sum%=MOD;
                }
                temp.mat[i][j] = sum;
            }
        }
        return temp;
    }
    matrix operator+ (const matrix &p) const
    {
        assert(row==p.row && col==p.col);
        matrix temp;
        temp.row=row;
        temp.col=col;
        for(int i=0; i<temp.row; i++)
        {
            for(int j=0; j<temp.col; j++)
                temp.mat[i][j]=((mat[i][j]%MOD)+(p.mat[i][j]%MOD))%MOD;;
        }
        return temp;
    }

    matrix identity()
    {
        matrix temp;
        temp.row=row;
        temp.col=col;
        for(int i=0; i<row; i++)
            temp.mat[i][i]=1;
        return temp;
    }

    matrix pow(ll pow)
    {
        matrix temp=(*this);
        matrix ret=(*this).identity();
        while(pow)
        {
            if(pow % 2==1)
                ret=ret*temp;
            temp=temp*temp;
            pow/=2;
        }
        return ret;
    }

    void show()
    {
        printf("-----------------------------\n");
        for(int i=0; i<row; i++)
        {
            for(int j=0; j<col; j++)
                printf("%lld ",mat[i][j]);
            printf("\n");
        }
        printf("-----------------------------\n");
    }

};

/*--------------------------Matrix End---------------------*/

matrix identity;

matrix func(matrix m, ll p)
{
//    if(p==0) return identity;
    if(p==1) return identity;
//
//    matrix ret=func(m,p/2);
//
//    matrix temp=m.pow(p/2);

    if(p%2==0)
    {
        return func(m,p/2)*(identity+m.pow(p/2));
    }
    else
    {
        return func(m,p-1)+m.pow(p-1);
    }
}

ll s[15],ara[15];

int main()
{

//    freopen("in.txt","r",stdin);
//	  freopen("out.txt","w",stdout);

    int t;
    sf(t);
    TEST_CASE(t)
    {
        ll n,r,k;

        sfffl(n,r,k);

        matrix base(r,1);

        ms(s,0);
        ms(ara,0);

        for(int i=1; i<=r; i++)
            sfl(s[i]);

        matrix a(r,r);

        for(int i=0; i<r; i++)
        {
            sfl(a.mat[0][i]);
            ara[i+1]=a.mat[0][i];
            if(i+1!=r)
                a.mat[i+1][i]=1;
        }

//        base.show();

//        a.show();

        a=a.pow(k);

//        a.show();

//        base.show();

        identity=a.identity();

        a=func(a,n);

//        a.show();

        ll ans=0;

        if(k>r)
        {
            for(int i=r+1; i<=k; i++)
            {
                for(int j=1; j<=r; j++)
                {
                    s[i]+=s[i-j]*ara[j];
                    s[i]%=MOD;
                }
            }

            for(int i=0; i<r; i++)
            {
                ans=(ans+(s[k-i]*a.mat[0][i])%MOD);
                ans%=MOD;

            }

        }
        else
        {
            for(int i=0; i<r; i++)
            {
                ans=(ans+(a.mat[r-k][r-i-1]*s[i+1])%MOD);
                ans%=MOD;
            }

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

    }

    return 0;
}

ACM-ICPC Live Archive : 4108 – SKYLINE

0

Link: https://icpcarchive.ecs.baylor.edu/index.php?option=com_onlinejudge&Itemid=8&category=24&page=show_problem&problem=2109

Solution Link: https://github.com/tanmoy13/ACM-ICPC-Live-Archive/blob/master/4108%20-%20SKYLINE.cpp


#include <bits/stdc++.h>

#define pii              pair <int,int>
#define pll              pair <long long,long long>
#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              1000000007
#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 stlloop(v)       for(__typeof(v.begin()) it=v.begin();it!=v.end();it++)
#define loop(i,n)        for(int i=0;i<n;i++)
#define loop1(i,n)       for(int i=1;i<=n;i++)
#define REP(i,a,b)       for(int i=a;i<b;i++)
#define RREP(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 CASE_PRINT       cout<<"Case "<<z<<": "
#define all(a)           a.begin(),a.end()
#define intlim           2147483648
#define infinity         (1<<28)
#define ull              unsigned long long
#define gcd(a, b)        __gcd(a, b)
#define lcm(a, b)        ((a)*((b)/gcd(a,b)))

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));}
/*------------------------------------------------*/

#define mx 100005

struct data
{
    ll maxi, mini, prop;

};

struct inp
{
    int l, r, v;
    inp(int a, int b, int c)
    {
        l=a,r=b,v=c;
    }
};

data tree[mx*4];

int ls,rs,h;

void push_down(int n)
{
    int val=tree[n].prop;
    if(tree[n].prop!=0)
    {
        tree[n*2].prop=val;
        tree[n*2+1].prop=val;
        tree[n*2].maxi=val;
        tree[n*2+1].maxi=val;
        tree[n*2].mini=val;
        tree[n*2+1].mini=val;
        tree[n].prop=0;
    }
}

void push_up(int n)
{
    tree[n].maxi=max(tree[n*2].maxi,tree[n*2+1].maxi);
    tree[n].mini=min(tree[n*2].mini,tree[n*2+1].mini);
}

int anss=0;

void update(int n, int b, int e, int i, int j)
{
    if(b>j || e<i) return;
    if(b>=i && e<=j)
    {
        if(tree[n].maxi<h)
        {
            tree[n].maxi=h;
            tree[n].prop=h;
            tree[n].mini=h;
            return;
        }
        else if(tree[n].mini>h)
        {
            anss+=(e-b+1);
            return;
        }
    }
    if(b==e) return;
    push_down(n);
    int l=n*2;
    int r=l+1;
    int mid=(b+e)/2;
    update(l,b,mid,i,j);
    update(r,mid+1,e,i,j);
    push_up(n);
}

int main()
{

    ///freopen("in.txt","r",stdin);
    ///freopen("out.txt","w",stdout);

    int t;
    int n;
    sf(t);
    {
        TEST_CASE(t)
        {
            sf(n);
            ll ans=0;

            ms(tree,0);

            vector<inp>vv;
            int rss=0;
            loop(i,n)
            {

                sfff(ls,rs,h);
                rss=max(rss,rs);
                vv.pb(inp(ls,rs,h));
            }

            for(int i=0; i<n; i++)
            {
                ls=vv[i].l;
                rs=vv[i].r;
                h=vv[i].v;
                anss=0;
                update(1,1,rss+3,ls,rs-1);
                ans+=(rs-ls-anss);

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

    sf(t);

    return 0;
}


ACM-ICPC Live Archive : 4109 – USHER

0

Problem Link : https://icpcarchive.ecs.baylor.edu/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=2110


/*
     If opportunity doesn't knock, build a door.

            +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
            |S|.|S|.|R|.|A|.|S|.|A|.|M|.|K|
            +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

    Success is how high you bounce when you hit bottom.
*/


#include <bits/stdc++.h>

#define pii              pair <int,int>
#define pll              pair <long long,long long>
#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              10000019
#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 stlloop(v)       for(__typeof(v.begin()) it=v.begin();it!=v.end();it++)
#define loop(i,n)        for(int i=0;i<n;i++)
#define REP(i,a,b)       for(int i=a;i<b;i++)
#define RREP(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 CASE_PRINT       cout<<"Case "<<z<<": "
#define all(a)           a.begin(),a.end()
#define intlim           2147483648
#define infinity         (1<<28)
#define ull              unsigned long long
#define gcd(a, b)        __gcd(a, b)
#define lcm(a, b)        ((a)*((b)/gcd(a,b)))

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<int>graph[505],cost[505];
int cap,p,usernum;

int aa=INT_MAX;

int bfs(int src, int dst)
{
    int dis[505];
    for(int i=0;i<505;i++) dis[i]=infinity;
    dis[src]=0;
    queue<int>Q;
    Q.push(src);
    while(!Q.empty())
    {
        int u=Q.front();
        Q.pop();
        for(int i=0;i<SZ(graph[u]);i++)
        {
            int v=graph[u][i];
            if(dis[u]+cost[u][i]<dis[v])
            {
                dis[v]=dis[u]+cost[u][i];
                Q.push(v);
            }
        }
    }
    return dis[dst];
}



int main()
{

//     freopen("in.txt","r",stdin);
//    freopen("out.txt","w",stdout);


    int t;
    while(sf(t)==1 && t)
    {
        TEST_CASE(t)
        {
//            D(z);
            for(int i=0;i<505;i++)
            {
                graph[i].clear();
                cost[i].clear();
            }
            sff(cap,p);
            vector<int>user;
            sf(usernum);
            loop(i,usernum)
            {
                int a;
                sf(a);
                user.pb(a);
            }

            for(int i=1;i<=p;i++)
            {
                int xx;
                sf(xx);
                for(int j=1;j<=xx;j++)
                {
                    int a,b;
                    sff(a,b);
                    graph[i].pb(b);
                    cost[i].pb(a);
                }
            }

            aa=INT_MAX;

            for(int i=0;i<SZ(user);i++)
            {
                aa=min(aa,bfs(user[i],0));
            }

            if(aa==0)
            {
                pf("0\n");
                continue;
            }

            {
                int sum=0;
                int ans=0;
                sum=0;
                while(sum<cap)
                {
                    sum+=(aa);
                    if(sum>=cap) break;
                    sum--;
                    ans++;
                }
                pf("%d\n",ans);
            }


        }
    }
    return 0;
}