#include <iostream>
using namespace std;
int f91(int N)
{
if(N<=100)
{
return f91(f91(N+11));
}
if(N>=101)
{
return N-10;
}
}
int main()
{
for(;;)
{
int n;
cin>>n;
if(n==0)
{
break;
}
cout<<"f91("<<n<<") = "<<f91(n)<<endl;
}
return 0;
}
Category UVa
UVa – 100 – The 3n+1 problem
#include <bits/stdc++.h>
#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
/*----------------------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 func(int n,int c)
{
if(n==1)
{
c++;
return c;
}
else if(n%2==0)
{
c++;
n=n/2;
func(n,c);
}
else if(n%2==1)
{
c++;
n=(3*n)+1;
func(n,c);
}
}
int main()
{
CIN;
// freopen("in.txt","r",stdin);
// freopen("out.txt","w",stdout);
int a,b;
while(cin>>a>>b)
{
int x=0;
if(a<=b)
{
for(int i=a; i<=b; i++)
{
x=max(x,func(i,0));
}
cout<<a<<" "<<b<<" "<<x<<endl;
}
else if(a>b)
{
for(int i=b; i<=a; i++)
{
x=max(x,func(i,0));
}
cout<<a<<" "<<b<<" "<<x<<endl;
}
}
return 0;
}
SPOJ – FREQUENT – Frequent values
This problem is just the twin of the problem UVa -11235.
#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 pii pair<int,int>
#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 pii pair<int,int>
#define ff first
#define ss second
#define sz(x) x.size()
#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 for0(i,n) for(int i=0;i<n;i++)
#define for1(i,n) for(int i=1;i<=n;i++)
#define forrev(i,n) for(int i=n-1; i>=0; i--)
#define forab(i,a,b) for(int i=a;i<=b;i++)
#define forba(i,b,a) for(int i=b;i>=a;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 acos(-1) //3.14159265358979323846264338328
#define valid(tx,ty) tx>=0 && tx<row && ty>=0 && ty<col
#define intlim 2147483648
#define mx 100005
#define inf 100000008
/*------------------------------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 input[mx],tree[3*mx],cnt[mx],start[mx];
map<int,int> mp;
void build (int node,int low,int high)
{
if(low==high)
{
tree[node]=cnt[low];
return;
}
int mid=(low+high)/2;
int left=2*node;
int right=2*node+1;
build(left,low,mid);
build(right,mid+1,high);
tree[node]=max(tree[left],tree[right]);
}
int query(int node,int low,int high,int qlow,int qhigh)
{
if(low>qhigh || high<qlow) return -inf;
else if(low>=qlow && high<=qhigh)
{
return tree[node];
}
int mid=(low+high)/2;
int left=2*node;
int right=2*node+1;
int l=query(left,low,mid,qlow,qhigh);
int r=query(right,mid+1,high,qlow,qhigh);
return max(l,r);
}
int main()
{
//CIN;
// freopen("in.txt","r",stdin);
// freopen("out.txt","w",stdout);
int n,q;
while(sf(n)==1 && n!=0)
{
sf(q);
for1(i,n)
{
sf(input[i]);
mp[input[i]]++;
}
int y=-inf,k;
for1(i,n)
{
int x=mp[input[i]];
cnt[i]=x;
if(input[i]!=y)
{
k=i;
y=input[i];
}
start[i]=k;
}
build(1,1,n);
for1(i,q)
{
int qlow,qhigh,cnt1,cnt2,cnt3;
sff(qlow,qhigh);
if(input[qlow]!=input[qhigh])
{
int k=start[qlow]+cnt[qlow];
cnt1=k-qlow;
cnt2=qhigh-start[qhigh]+1;
cnt3=query(1,1,n,k,start[qhigh]-1);
pf("%d\n",max3(cnt1,cnt2,cnt3));
}
else pf("%d\n",qhigh-qlow+1);
}
ms(tree,0);
ms(cnt,0);
ms(start,0);
mp.clear();
}
return 0;
}
UVa – 10689 – Yet another Number Sequence
#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 loop1(i,n) for(int i=1;i<=n;i++)
#define loopcmp(i,n) for(int i=1;i<n;i++)
#define looprev(i,n) for(int i=n-1; i>=0; 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 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 acos(-1) //3.14159265358979323846264338328
#define valid(tx,ty) tx>=0 && tx<row && ty>=0 && ty<col
#define intlim 2147483648
#define MAX 1000000
#define inf 100000000
/*------------------------------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;
/*----------------------Matrix-----------------------*/
ll MOD;
struct matrix
{
ll mat[2][2];
int row,col;
matrix()
{
ms(mat,0);
}
matrix(int a, int b)
{
row=a,col=b;
ms(mat,0);
}
matrix operator*(const matrix &p) const
{
assert(col == p.row);
matrix result;
result.row = row;
result.col = p.col;
for (int i = 0; i < result.row; i++)
{
for (int j = 0; j < result.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;
}
result.mat[i][j] = sum;
}
}
return result;
}
matrix operator+ (const matrix &p) const
{
assert(row==p.row && col==p.col);
matrix result;
result.row=row;
result.col=col;
for(int i=0; i<result.row; i++)
{
for(int j=0; j<result.col; j++)
result.mat[i][j]=((mat[i][j]%MOD)+(p.mat[i][j]%MOD))%MOD;
}
return result;
}
matrix identity()
{
matrix result;
result.row=row;
result.col=col;
for(int i=0; i<row; i++)
result.mat[i][i]=1;
return result;
}
matrix pow(ll pow)
{
matrix result=(*this);
matrix ret=(*this).identity();
while(pow)
{
if(pow % 2==1)
ret=ret*result;
result=result*result;
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");
}
};
ll power(int n,int p)
{
if(p==0) return 1;
ll r=1;
for(int i=0;i<p;i++) r*=n;
return r;
}
/*--------------------------Matrix End---------------------*/
int main()
{
///freopen("in.txt","r",stdin);
///freopen("out.txt","w",stdout);
ll a,b,n,m,t;
sfl(t);
loop1(z,t)
{
sffffl(a,b,n,m);
MOD=power(10,m);
matrix base(2,2), multiplicand(2,1);
base.mat[0][0]=base.mat[0][1]=base.mat[1][0]=1;
multiplicand.mat[0][0]=b;
multiplicand.mat[1][0]=a;
base=base.pow(n-1);
base=base*multiplicand;
ll rs=base.mat[0][0];
if(n==0) rs=a%MOD;
else if(n==1) rs=b%MOD;
cout<<rs<<endl;
}
return 0;
}
UVa – 10019 – Funny Encryption Method
#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 db double
#define ll long long
#define ull unsigned long long
#define pii pair<int,int>
#define ff first
#define ss second
#define sz(x) x.size()
#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 for0(i,n) for(int i=0;i<n;i++)
#define for1(i,n) for(int i=1;i<=n;i++)
#define forrev(i,n) for(int i=n-1; i>=0; i--)
#define forab(i,a,b) for(int i=a;i<=b;i++)
#define forba(i,b,a) for(int i=b;i>=a;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 acos(-1) //3.14159265358979323846264338328
#define valid(tx,ty) tx>=0 && tx<row && ty>=0 && ty<col
#define intlim 2147483648
#define MAX 100005
#define inf 100000008
/*------------------------------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 main()
{
//CIN;
// freopen("in.txt","r",stdin);
// freopen("out.txt","w",stdout);
int t;
sf(t);
for1(z,t)
{
string s,s1,s2;
int n,deci;
sf(n);
int b1=__builtin_popcount(n);
stringstream ss;
ss<<n;
ss>>hex>>deci; /// std::hex - Takes n as a hexadecimal and converts to decimal
int b2=__builtin_popcount(deci);
pf("%d %d\n",b1,b2);
}
return 0;
}