diff --git a/digit dp.cpp b/digit dp.cpp
new file mode 100644
index 0000000..8168a3d
--- /dev/null
+++ b/digit dp.cpp	
@@ -0,0 +1,87 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+typedef long long ll;
+typedef double db;
+#define debug(x) cout<<#x<<" :: "<<x<<endl;
+#define boost1 ios::sync_with_stdio(0)
+#define boost2 cin.tie(0)
+#define size1 200005
+#define mod 1000000007
+#define vll         vector < ll >
+#define vpll        vector < pair < ll ,ll> >
+#define pii         pair < int,int >
+#define pll         pair < ll,ll >
+#define fi          first
+#define se          second
+#define pb(x)       push_back(x)
+#define endl        "\n"
+#define mem1(x)     memset(x,-1,sizeof x)
+#define mem(x)      memset(x,0,sizeof x)
+#define mem63(x)    memset(x,63,sizeof x)
+ll dp[2][22][10][2][10][513];
+int MASK,K,digit[25];
+
+ll fun(int tight,int idx,int prev,int type,int k,int mask){
+    if(k > K){
+        return 0;
+    }
+    if(idx == 20){
+        if((mask&MASK) == MASK){
+            return 1;
+        }
+        return 0;
+    }
+    ll &res = dp[tight][idx][prev][type][k][mask];
+
+    if(res != -1) return res;      // ~res == non zero if res == -1
+
+    res = 0;
+
+    if(!mask){
+            res += fun(tight|digit[idx]>0,idx+1,0,1,0,0);
+    }
+    for(int i=1;i<=9;i++){
+        if(i!= prev && (tight || (!tight && i <= digit[idx]))){
+            if(prev < i != type){
+                res += fun(tight|i<digit[idx],idx+1,i,prev<i,2,mask|(1<<(i-1)));
+            }else{
+                res += fun(tight|i<digit[idx],idx+1,i,prev<i,k+1,mask|(1<<(i-1)));
+            }
+        }
+    }
+
+    return res;
+}
+
+ll func(ll x){
+
+    for(int i=19;i>=0;i--){
+        digit[i] = x%10;
+        x /= 10;
+    }
+    mem1(dp);
+
+    return fun(0,0,0,1,0,0);
+}
+
+int main()
+{
+    boost1;
+    //boost2;
+    int n,m,i,j,t,x,y,w;
+    ll l,r;
+    cin>>t;
+    while(t--){
+        cin>>m;
+        MASK = 0;
+        while(m--){
+            cin>>x;
+            MASK = MASK | (1<<(x-1));
+        }
+        cin>>K;
+        cin>>l>>r;
+        cout<<func(r) - func(l-1)<<endl;
+    }
+    return 0;
+}
diff --git a/find kth no.cpp b/find kth no.cpp
new file mode 100644
index 0000000..0e407d2
--- /dev/null
+++ b/find kth no.cpp	
@@ -0,0 +1,58 @@
+#include <bits/stdc++.h>
+#include <ext/pb_ds/assoc_container.hpp>
+using namespace std;
+
+using namespace __gnu_pbds;
+
+
+
+
+typedef long long ll;
+typedef double db;
+#define debug(x) cout<<#x<<" :: "<<x<<endl;
+#define boost1 ios::sync_with_stdio(0)
+#define boost2 cin.tie(0)
+#define size1 200005
+#define mod 1000000007
+#define vl          vector < ll >
+#define vpl         vector < pair < ll ,ll> >
+#define pi          pair < int,int >
+#define pl          pair < ll,ll >
+#define ff          first
+#define ss          second
+#define for(i,a,b)  for(ll i=a;i<b;i++)
+#define pb(x)       push_back(x)
+#define endl        "\n"
+
+tree< pl , null_type, less< pl >, rb_tree_tag, tree_order_statistics_node_update> s;
+
+ll sum[size1];
+int main()
+{
+//    boost1;
+//    boost2;
+
+    ll n,m,i,j,t,b,c,x,y,w,l,r,ans1,ans2;
+    cin>>n>>t;
+//    for(i,0,n){
+//        cin>>sum[i];
+//    }
+//    //sum[0] = 0;
+//    for(i,1,n){
+//        sum[i] += sum[i-1];
+//    }
+
+    ll ans = 0,tmp,g=0;
+    //cout<<ans;
+    for(i,0,n){
+        cin>>tmp;
+        s.insert({-g,i});
+        g += tmp;
+        y = s.order_of_key({t-g,0});
+
+        debug(y);
+        ans += y;
+    }
+    cout<<ans;
+    return 0;
+}
diff --git a/hacktor.cpp b/hacktor.cpp
new file mode 100644
index 0000000..3709e46
--- /dev/null
+++ b/hacktor.cpp
@@ -0,0 +1,61 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+typedef long long ll;
+typedef double db;
+#define debug(x) cout<<#x<<" :: "<<x<<endl;
+#define boost1 ios::sync_with_stdio(0)
+#define boost2 cin.tie(0)
+#define size1 200005
+#define mod 1000000007
+#define vll         vector < ll >
+#define vpll        vector < pair < ll ,ll> >
+#define pii         pair < ll,int >
+#define pll         pair < ll,ll >
+#define fi          first
+#define se          second
+#define pb(x)       push_back(x)
+#define endl        "\n"
+#define mem1(x)     memset(x,-1,sizeof x)
+#define mem(x)      memset(x,0,sizeof x)
+#define mem63(x)    memset(x,63,sizeof x)
+
+int a[size1];
+
+int main()
+{
+    boost1;
+    //boost2;
+    ll n,m,i,j,t,x,q,y,w,k=1;
+    vector<ll> v;
+    cin>>t;
+    while(t--){
+        cin>>n>>m>>q;
+       // mem(a);
+        map<ll,ll> mp;
+        for(i=0;i<m;i++){
+            cin>>x;
+            a[x] = 1;
+            v.push_back(x);
+        }
+        for(i=0;i<q;i++){
+            cin>>x;
+            mp[x]++;
+        }
+        ll ans = 0;
+        for(auto x : mp){
+            for(i=x.first;i <= n;i += x.first){
+                if(a[i]){
+                    continue;
+                }
+                ans += x.second;
+            }
+        }
+        cout<<"Case #"<<k++<<": "<<ans<<endl;
+        for(i=0;i<v.size();i++){
+            a[v[i]] = 0;
+        }
+        v.clear();
+    }
+    return 0;
+}
diff --git a/josephusProblem.cpp b/josephusProblem.cpp
new file mode 100644
index 0000000..5e92a53
--- /dev/null
+++ b/josephusProblem.cpp
@@ -0,0 +1,68 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+typedef long long ll;
+typedef double db;
+#define debug(x) cout<<#x<<" :: "<<x<<endl;
+#define boost1 ios::sync_with_stdio(0)
+#define boost2 cin.tie(0)
+#define size1 1005
+#define mod 1000000007
+#define vll         vector < ll >
+#define vpll        vector < pair < ll ,ll> >
+#define pii         pair < int,int >
+#define pll         pair < ll,ll >
+#define fi          first
+#define se          second
+#define pb(x)       push_back(x)
+#define endl        "\n"
+#define mem1(x)     memset(x,-1,sizeof x)
+#define mem(x)      memset(x,0,sizeof x)
+#define mem63(x)    memset(x,63,sizeof x)
+
+int dp[size1][size1];
+
+int a[size1];
+int main()
+{
+//    boost1;
+//    boost2;
+    string str,pat;
+    int n,m,i,j,t,x,y,w,o;
+    cin>>t;
+
+    debug(t);
+    while(t--){
+        //cin>>str;
+        cin>>pat;
+        cout<<pat<<endl;
+    //    n = str.length();
+        m = pat.length();
+
+//        if(n < m){
+//            cout<<"Not Found"<<endl;
+//            continue;
+//        }
+        a[0] = 0;
+        i = 0;
+        j = 1;
+        debug(m);
+        while(j<m){
+            if(pat[j] == pat[i]){
+                a[j] = i+1;
+                j++;
+                i++;
+            }else{
+                //i = a[i-1];
+                j++;
+                if(i>0){
+                    i = a[i-1];
+                }
+            }
+        }
+        for(i=0;i<m;i++){
+            cout<<a[i]<<" ";
+        }
+    }
+    return 0;
+}
diff --git a/knuth_Algo_PatternFind.cpp b/knuth_Algo_PatternFind.cpp
new file mode 100644
index 0000000..d82b548
--- /dev/null
+++ b/knuth_Algo_PatternFind.cpp
@@ -0,0 +1,102 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+typedef long long ll;
+typedef double db;
+#define debug(x) cout<<#x<<" :: "<<x<<endl;
+#define boost1 ios::sync_with_stdio(0)
+#define boost2 cin.tie(0)
+#define size1 1005
+#define mod 1000000007
+#define vll         vector < ll >
+#define vpll        vector < pair < ll ,ll> >
+#define pii         pair < int,int >
+#define pll         pair < ll,ll >
+#define fi          first
+#define se          second
+#define pb(x)       push_back(x)
+#define endl        "\n"
+#define mem1(x)     memset(x,-1,sizeof x)
+#define mem(x)      memset(x,0,sizeof x)
+#define mem63(x)    memset(x,63,sizeof x)
+
+int dp[size1][size1];
+
+int a[size1];
+int main()
+{
+//    boost1;
+//    boost2;
+    string str,pat;
+    int n,m,i,j,t,x,y,w,o;
+    cin>>t;
+
+    //debug(t);
+    while(t--){
+        cin>>str;
+        cin>>pat;
+        vector<int> v;
+        //cout<<pat<<endl;
+        n = str.length();
+        m = pat.length();
+
+        if(n < m){
+            cout<<"Not Found"<<endl<<endl;
+            continue;
+        }
+        a[0] = 0;
+        i = 0;
+        j = 1;
+       // debug(m);
+       mem(a);
+        while(j<m){
+            if(pat[j] == pat[i]){
+                a[j] = i+1;
+                j++;
+                i++;
+            }else{
+                //i = a[i-1];
+
+                if(i>0){
+                    i = a[i-1];
+                }else{
+                    a[j] = 0;
+                    j++;
+                }
+            }
+        }
+
+        j = 0;
+        i = 0;
+        while(i<n){
+
+            if(j<m && i < n && pat[j] == str[i]){
+                i++;
+                j++;
+            }
+
+            if(j == m){
+                v.pb(i-m);
+                j = a[j-1];
+            }
+
+            if(i<n && j<m && pat[j] != str[i]){
+                if(j!=0){
+                    j = a[j-1];
+                }else{
+                    i++;
+                }
+            }
+        }
+        if(v.size() == 0){
+            cout<<"Not Found"<<endl<<endl;
+        }else{
+            cout<<v.size()<<endl;
+            for(i=0;i<v.size();i++){
+                cout<<v[i]+1<<" ";
+            }
+            cout<<endl<<endl;
+        }
+    }
+    return 0;
+}