JEE Main 2022 · 28 Jul · Shift 2, Mathematics question 84

If $1+\left(2+{}^{49}C_1+{}^{49}C_2+\ldots+{}^{49}C_{49}\right)\left({}^{50}C_2+{}^{50}C_4+\ldots+{}^{50}C_{50}\right)$ is equal to $2^n\cdot m$, where m is odd, then n + m is equal to ______.