title: Problem 760 date: 2021/06/27 02:00:00 --- *** # [Problem 760](https://projecteuler.net/problem=760) *** [Xem đề gốc (tiếng Anh)](https://projecteuler.net/problem=760) ## **Tổng theo toán tử bit** $f(n) = \sum_{k=0}^{n} (n \text{ AND } k) + (n \text{ OR } k) + (n \text{ XOR } k)$. Tính $\sum_{n=0}^{10^{18}} f(n) \pmod{10^9+7}$. ***