Efficient way of determining minimum field size required to store variances in user input?

If the input gives a larger value then you need to use uint32_t .

Store the first full 128 bit number you encounter, then push the lower order 32 bits of it onto a vector, set bool reject_all = false. For each remaining number, if high-order (128-32=96) bits differ from the first number's then set reject_all = true, otherwise push their lower-order bits on the vector. At the end of the loop, use reject_all to decide whether to use the vector of values.

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