# rolling 24-hr time series volume data - how to back out minute level volume?

I have data (trading volume) that is tracked on a rolling 24-hour basis approximately 1 minute or so. Here are some sample timestamps that highlight why I say approximately: I am trying to use this data to infer the volume in a given minute. However, I am confused how to distinguish volume from the prior minute and the minute 24 hours ago.

Let $$t$$ represent a minute. Let the variable I'm interested in backing out be $$VolumeMin_{t}$$, for any given minute $$t$$. Let $$Volume24hr_{t}$$ represent the 24 hr rolling trading volume data I currently have.

Then, using the difference between the two timestamps, I get the following:

$$Volume24hr_{t+1} - Volume24hr_{t} = VolumeMin_{t} + VolumeMin_{t-1440}$$

Thus, using the difference, I can only seem to determine the aggregate volume from those two minutes. Is it impossible to have enough degrees of freedom to isolate $$VolumeMin_{t}$$?

If that's the case any help would be appreciated in other ways I might be able to think about inferring $$VolumeMin_{t}$$. Thank you!

$$V_1 = V_{1A}+V_{1B}+V_{1C}$$ $$V_2 = V_{2A}+V_{2B}+V_{2C}$$
where $$V_{iA}$$ represent the cumulative volume 24 hours ago only in bucket $$i$$ and not in time bucket $$i+1$$ and $$V_{iC}$$ represent the newest cumulative volume only in bucket $$i+1$$ and not in time bucket $$i$$.
It's clear in the above setting that $$V_{1B}+V_{1C}=V_{2A}+V_{2B}$$, there are still too many variables than equations (an underdetermined system) so unless we have an additional clue, we can't solve this.