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collectingTheBalls.cpp
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51 lines (41 loc) · 830 Bytes
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#include<bits/stdc++.h>
using namespace std;
long long sharmasShare(long long n, long long k)
{
long long remainingCandies = n;
long long sharmasCandies;
long long count = 0;
while(remainingCandies > k)
{
remainingCandies = remainingCandies - k;
remainingCandies = remainingCandies - (remainingCandies/10);
count++;
}
sharmasCandies = k * count + remainingCandies;
return sharmasCandies;
}
int main()
{
long long n;
cin >> n;
long long maximum = n;
long long minimum = 1;
long long k = 1;
long long ans;
while(minimum <= maximum)
{
k = (minimum + maximum)/2;
long long sharmasCandies = sharmasShare(n, k);
if((sharmasCandies >= n/2 && n%2 == 0) || (sharmasCandies > n/2 && n%2 != 0))
{
ans = k;
maximum = k-1;
}
else
{
minimum = k+1;
}
}
cout << ans << endl;
return 0;
}