How do you add or subtract 5 6 8 9 and 10 to equal 1?

There is no sequence of adds or subtracts of 5, 6, 8, 9, and 10 that sum to 1. Check it with this C++ code...

for (int i=0; i<32; ++i) {

int sum = 0;

if (i&1) sum += 5; else sum -= 5;

if (i&2) sum += 6; else sum -= 6;

if (i&4) sum += 8; else sum -= 8;

if (i&8) sum += 9; else sum -= 9;

if (i&16) sum += 10; else sum -= 10;

cout << i << " " << sum << endl;

}