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CodeChef --- Chef and Keyboard


 First check how much pairs of divisor of a number

12 == 1x12 2x6 3x4 4x3 6x2 12x1
So,12 has 6 pairs & all are unique
For unique pairs we use set
9 == 1x9 3x3 3x3 9x1
So,9 has 4 pairs & 3 pairs are unique
After checking unique pairs we then check first element of this pair must be less than or equal to a and second pair must be less than or equal to b

///Bismillahir Rahmanir Rahim
///Author: Tanvir Ahmmad
///CSE,Islamic University,Bangladesh

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<string>
#include<cstring>
#include<sstream>
#include<cmath>
#include<cstring>
#include<vector>
#include<queue>
#include<map>
#include<set>
#include<stack>
#include<vector>
#include<iterator>
#include <functional> ///sort(arr,arr+n,greater<int>()) for decrement of array
/*every external angle sum=360 degree
  angle find using polygon hand(n) ((n-2)*180)/n*/
///Floor[Log(b)  N] + 1 = the number of digits when any number is represented in base b
using namespace std;
typedef long long ll;

int main()
{
    ll tst,a,b,c;
    cin>>tst;
    while(tst--)
    {
        set< pair<int,int> >st;
        set< pair<int,int> >::iterator it;
        cin>>a>>b>>c;
        ll sq=sqrt(c),cnt=0;
        for(ll i=1;i<=sq;i++)
        {
            if(c%i==0)
            {
                ll pq=c/i;
                st.insert(make_pair(i,pq));
                st.insert(make_pair(pq,i));
            }
        }
        for(it=st.begin();it!=st.end();it++)
            if(it->first<=a && it->second<=b) cnt++;

        cout<<cnt<<endl;
    }
    return 0;
}
///Alhamdulillah

problem link:https://www.codechef.com/LP2TO307/problems/CHEFKEY

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