#include <bits/stdc++.h>
#define pf printf
#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 sffff(a,b,c,d) scanf("%d %d %d %d",&a,&b,&c,&d)
#define sffffl(a,b,c,d) scanf("%lld %lld %lld %lld",&a,&b,&c,&d)
#define sfffff(a,b,c,d,e) scanf("%d %d %d %d %d",&a,&b,&c,&d,&e)
#define sfffffl(a,b,c,d,e) scanf("%lld %lld %lld %lld %lld",&a,&b,&c,&d,&e)
#define sfc(a) scanf("%c",&a)
#define ms(a,b) memset(a,b,sizeof(a))
#define pb(a) push_back(a)
#define pbp(a,b) push_back({a,b})
#define db double
#define ft float
#define ll long long
#define ull unsigned long long
#define ff first
#define ss second
#define sz(x) x.size()
#define qu queue
#define pqu priority_queue
#define vc vector
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define all(x) x.begin(),x.end()
#define CIN ios_base::sync_with_stdio(0); cin.tie(0)
#define max3(a, b, c) max(a, b) > max(b, c) ? max(a, b) : max(b, c)
#define min3(a, b, c) min(a, b) < min(b, c) ? min(a, b) : min(b, c)
#define loop0(i,n) for(int i=0;i<n;i++)
#define loopn(i,n) for(int i=1;i<n;i++)
#define loop1(i,n) for(int i=1;i<=n;i++)
#define loopab(i,a,b) for(int i=a;i<=b;i++)
#define loopba(i,b,a) for(int i=b;i>=a;i--)
#define REV(i,n) for(i=n; i>=0; i--)
#define stlloop(x) for(__typeof(x.begin()) it=x.begin();it!=x.end();it++)
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) ((a)*((b)/gcd(a,b)))
#define case1(z) cout<<"Case "<<z<<": "
#define case2(z) printf("Case %d: ",z)
#define PI 3.14159265358979323846264338328
#define valid(tx,ty) tx>=0 && tx<r && ty>=0 && ty<c
#define intlim 2147483648
#define MAX 1000000
#define inf 10000000
/*------------------------------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
/*---------------------------------------------------------------------*/
using namespace std;
int a[1000005];
int main()
{
CIN;
int n,i,j,k,l,c,m=1;
string s;
while(cin>>s)
{
if(s=="\n") break;
for(i=0; i<s.size(); i++)
{
if(s[i]=='1') a[i+1]=1;
else a[i+1]=0;
}
for(i=1; i<=s.size(); i++) a[i]+=a[i-1];
cin>>n;
cout<<"Case "<<m<<":"<<endl;
for(l=0; l<n; l++)
{
cin>>i>>j;
c=0;
i++,j++;
if(i>j) swap(i,j);
if(a[j]-a[i-1]==0 || a[j]-a[i-1]==(j-i+1))
cout<<"Yes"<<endl;
else
cout<<"No"<<endl;
}
m++;
}
return 0;
}
Category UVa
UVa – 12527 – Different Digits
Thsi problem can be solved in the “Brute Force” way like this ->
#include <bits/stdc++.h>
using namespace std;
int b[15],a[10000];
int n,m,c,i,j,k,p,x,y;
int main()
{
while(cin>>n>>m)
{
x=((m-n)+1);
c=0;
for(i=n; i<=m; i++)
{
memset(b,0,sizeof(b));
j=0;
p=i;
while(p!=0)
{
a[j]=p%10;
p=p/10;
j++;
}
for(k=0; k<j; k++)
{
b[a[k]]++;
if(b[a[k]]>1)
{
c++;
break;
}
}
}
y=x-c;
cout<<y<<endl;
}
return 0;
}
But the following code can be done using “Cummulative Sum” which is more efficient,better and the fastest way in terms of complexity !! Coz Cummulative sum is just a disguess of DP !! 😀 Which prohibits us to calculate the same thing repeatedly and thus minimizing time complexity 🙂
#include <bits/stdc++.h>
#define pf printf
#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 sffff(a,b,c,d) scanf("%d %d %d %d",&a,&b,&c,&d)
#define sffffl(a,b,c,d) scanf("%lld %lld %lld %lld",&a,&b,&c,&d)
#define sfffff(a,b,c,d,e) scanf("%d %d %d %d %d",&a,&b,&c,&d,&e)
#define sfffffl(a,b,c,d,e) scanf("%lld %lld %lld %lld %lld",&a,&b,&c,&d,&e)
#define sfc(a) scanf("%c",&a)
#define ms(a,b) memset(a,b,sizeof(a))
#define pb(a) push_back(a)
#define pbp(a,b) push_back({a,b})
#define db double
#define ft float
#define ll long long
#define ull unsigned long long
#define ff first
#define ss second
#define sz(x) x.size()
#define qu queue
#define pqu priority_queue
#define vc vector
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define all(x) x.begin(),x.end()
#define CIN ios_base::sync_with_stdio(0); cin.tie(0)
#define max3(a, b, c) max(a, b) > max(b, c) ? max(a, b) : max(b, c)
#define min3(a, b, c) min(a, b) < min(b, c) ? min(a, b) : min(b, c)
#define loop0(i,n) for(int i=0;i<n;i++)
#define loopn(i,n) for(int i=1;i<n;i++)
#define loop1(i,n) for(int i=1;i<=n;i++)
#define loopab(i,a,b) for(int i=a;i<=b;i++)
#define loopba(i,b,a) for(int i=b;i>=a;i--)
#define REV(i,n) for(i=n; i>=0; i--)
#define stlloop(x) for(__typeof(x.begin()) it=x.begin();it!=x.end();it++)
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) ((a)*((b)/gcd(a,b)))
#define case1(z) cout<<"Case "<<z<<": "
#define case2(z) printf("Case %d: ",z)
#define PI 3.14159265358979323846264338328
#define valid(tx,ty) tx>=0 && tx<r && ty>=0 && ty<c
#define intlim 2147483648
#define MAX 1000000
#define inf 10000000
/*------------------------------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
/*---------------------------------------------------------------------*/
using namespace std;
int ara[5005];
bool visit[11];
int main()
{
for(int i=1; i<=5003; i++)
{
int a=i;
ms(visit,0);
bool test=0;
while(a)
{
int x=a%10;
a/=10;
if(visit[x]==0)
visit[x]=1;
else
{
test=1;
break;
}
}
if(test==0) ara[i]++;
}
for(int i=1; i<5003; i++) ara[i]+=ara[i-1];
int a,b;
while(cin>>a>>b) cout<<ara[b]-ara[a-1]<<endl;
return 0;
}
UVa – 10130 – SuperSale
#include <bits/stdc++.h>
#define sf scanf
#define pf printf
#define ms(a,b) memset(a,b,sizeof(a))
#define pb(a) push_back(a)
#define db double
#define ft float
#define ll long long
#define ull unsigned long long
#define ff first
#define ss second
#define sz(x) x.size()
#define qu queue
#define pqu priority_queue
#define vc vector
#define vi vector<int>
#define vll vector<long long>
#define pii pair<int,int>
#define pis pair<int,string>
#define psi pair<string,int>
#define all(x) x.begin(),x.end()
#define CIN ios_base::sync_with_stdio(0); cin.tie(0)
#define loop0(i,n) for(int i=0;i<n;i++)
#define loop1(i,n) for(int i=1;i<=n;i++)
#define stlloop(x) for(__typeof(x.begin()) it=x.begin();it!=x.end();it++)
#define gcd(a, b) __gcd(a, b)
#define lcm(a, b) ((a)*((b)/gcd(a,b)))
#define case(z,x) cout<<"Case "<<i<<": "<<x<<endl
#define case(z) cout<<"Case "<<z<<": "
#define PI 3.14159265358979323846264338328
#define valid(tx,ty) tx>=0 && tx<r && ty>=0 && ty<c
#define MAX 2000
#define inf 10000000
/*------------------------------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
/*---------------------------------------------------------------------*/
using namespace std;
int weight[1002],cost[1002];
int dp[1000][100];
int cap,n;
int knapsack(int i,int w)
{
if(i>=n) return 0;
if(dp[i][w]!=-1) return dp[i][w];
int p1=0,p2=0;
if(w+weight[i]<=cap)
{
p1=cost[i]+knapsack(i+1,w+weight[i]);
}
p2=knapsack(i+1,w);
return dp[i][w]=max(p1,p2);
}
int main()
{
CIN;
//freopen("in.txt","r",stdin);
//freopen("out.txt","w",stdout);
int t;
cin>>t;
loop1(z,t)
{
cin>>n;
for(int i=0; i<n; i++) cin>>cost[i]>>weight[i];
int person;
cin>>person;
int sum=0;
loop0(i,person)
{
ms(dp,-1);
cin>>cap;
sum+=knapsack(0,0);
}
cout<<sum<<endl;
}
return 0;
}
Fall out, Codes! 