Codeforces 448 D. Multiplication Table - c++编程基础

二分判定答案

D. Multiplication Table time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output

Bizon the Champion isn't just charming, he also is very smart.

While some of us were learning the multiplication table, Bizon the Champion had fun in his own manner. Bizon the Champion painted ann?×?m multiplication table, where the element on the intersection of the i-th row and j-th column equals i?j (the rows and columns of the table are numbered starting from 1). Then he was asked: what number in the table is the k-th largest number? Bizon the Champion always answered correctly and immediately. Can you repeat his success?

Consider the given multiplication table. If you write out all n?m numbers from the table in the non-decreasing order, then the k-th number you write out is called the k-th largest number.

Input

The single line contains integers n, m and k (1?≤?n,?m?≤?5?105; 1?≤?k?≤?n?m).

Output

Print the k-th largest number in a n?×?m multiplication table.

Sample test(s) input

2 2 2

output

input

2 3 4

output

input

1 10 5

output

Note

A 2?×?3 multiplication table looks like this:

1 2 3
2 4 6

#include 
  
   
#include 
   
     #include 
    
      #include 
     
       #include 
       using namespace std; typedef long long int LL; LL n,m,k; bool ck(LL x) { LL nt=0; for(LL i=1;i<=n;i++) { nt+=min(m,x/i); } if(nt>=k) return true; return false; } int main() { scanf("%I64d%I64d%I64d",&n,&m,&k); LL low=1,high=n*m,ans=-1,mid; while(low<=high) { mid=(low+high)/2; if(ck(mid)) { ans=mid; high=mid-1; } else low=mid+1; } printf("%I64d\n",ans); return 0; }