So I was running this code, working with this big number. Note a and b are exactly the same. (scroll right if code doesn’t fit screen)

```
#include <bits/stdc++.h>
using namespace std;
int main() {
long long a = 298023223876953125, b = 298023223876953125;
cout << boolalpha << (a <= (floor(298023223876953125 / 2) * 2)) << '\n'; //1
cout << boolalpha << (a <= (floor(298023223876953125 / 4) * 4)) << '\n'; //2
cout << boolalpha << (a <= (floor(298023223876953125 / 8) * 8)) << '\n'; //3
cout << boolalpha << (b >= (floor(298023223876953125 / 2) * 2)) << '\n'; //1
cout << boolalpha << (b >= (floor(298023223876953125 / 4) * 4)) << '\n'; //2
cout << boolalpha << (b >= (floor(298023223876953125 / 8) * 8)) << '\n'; //3
cout << "a: " << a << ", " << "after operation: " << (long long)(floor(298023223876953125 / 2) * 2) << '\n';
cout << "a: " << a << ", " << "after operation: " << (long long)(floor(298023223876953125 / 4) * 4) << '\n';
cout << "a: " << a << ", " << "after operation: " << (long long)(floor(298023223876953125 / 8) * 8) << '\n';
}
```

The output was

true

```
true
false
true
true
true
a: 298023223876953125, after operation: 298023223876953152
a: 298023223876953125, after operation: 298023223876953152
a: 298023223876953125, after operation: 298023223876953088
```

which was unexpected with a and b exactly the same. From the comments at the end of the lines with the inequalities, i have labelled corresponding ones with the same number, 1 2 or 3. The combination of the 2 inequalities both labelled, for example, //1 are both satisfied iff after operation the number is exactly a or b, as the only way it is between both a and b is if it has the same value as a or b.

Is there some stupid thing I’m overlooking here (probably is)? Thank you