CSES-Problem-Set-Solutions/Removing Digits.cpp at main · prathamesh1301/CSES-Problem-Set-Solutions · GitHub

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#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define lld double
int mod=1e9+7;

const int array_size = 1e6+100;
bool primes[array_size];

ll gcd(ll a, ll b){if (b == 0)return a;return gcd(b, a % b);}
ll lcm(ll a, ll b){return ((a/gcd(a,b))*b);}
void sieve(){

   primes[0] = false;
   primes[1] = false;
   for(ll i = 2;i*i<=array_size;i++){
      if(primes[i]){
         for(ll j=i*i;j<=array_size;j+=i)
            primes[j] = false;
      }
   }
}

vector<int> toVec(int n){
   vector<int> a;
   while(n>0){
      int r = n%10;
      a.push_back(r);
      n/=10;
   }
   return a;
}
int find(int n,vector<int>& dp){
   if(n==0)return 0;
   if(n<=9)return 1;
   if(dp[n]!=-1)return dp[n];
   vector<int> a = toVec(n);
   int ans = INT_MAX;
   for(int i=0;i<a.size();i++){
      if(n-a[i]>=0 && a[i]>0)
         ans = min(ans,1+find(n-a[i],dp));
   }
   return dp[n]=ans;
}
void solve(){
   int n;
   cin>>n;
   vector<int> dp(n+1,-1);
   cout<<find(n,dp);

}


int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    //memset(primes,true,sizeof(primes));
    //sieve();
    //memset(dp,false,sizeof(dp));
    //precal();
    /*int t;

    cin>>t;

    while(t--)*/
        solve();
    return 0;


}


//Tabulation Approach
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define lld double
int mod=1e9+7;

const int array_size = 1e6+100;
bool primes[array_size];

ll gcd(ll a, ll b){if (b == 0)return a;return gcd(b, a % b);}
ll lcm(ll a, ll b){return ((a/gcd(a,b))*b);}
void sieve(){

   primes[0] = false;
   primes[1] = false;
   for(ll i = 2;i*i<=array_size;i++){
      if(primes[i]){
         for(ll j=i*i;j<=array_size;j+=i)
            primes[j] = false;
      }
   }
}

vector<int> toVec(int n){
   vector<int> a;
   while(n>0){
      int r = n%10;
      a.push_back(r);
      n/=10;
   }
   return a;
}

void solve(){
   int n;
   cin>>n;
   vector<int> dp(n+1,INT_MAX);
   if(n<=9){
      cout<<1<<endl;
      return;
   }
   dp[0]=0;
   for(int i=1;i<=9;i++){
      dp[i]=1;
   }
   for(int i=10;i<=n;i++){
      vector<int> a = toVec(i);
      for(int j=0;j<a.size();j++){
         if(a[j]==0) continue;
         if(i-a[j]>=0)
            dp[i] = min(dp[i],1+dp[i-a[j]]);
      }
   }
   cout<<dp[n]<<endl;

}


int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    //memset(primes,true,sizeof(primes));
    //sieve();
    //memset(dp,false,sizeof(dp));
    //precal();
    /*int t;

    cin>>t;

    while(t--)*/
        solve();
    return 0;


}