R - How to sum objects in a column between an interval defined by conditions on another column

This comes as an application to this question:Sum object in a column between an interval defined by another column

What I would like to know is how to adjust the answer if I want to sum the values in B, for ((A[i+1]-A[i]==0) or (A[i+1]-A[i]==1) or (A[i]-A[i-1]==0) or (A[i]-A[i-1]==1)) where i is the row index, so basically sum B rows for A-s that have the same value +/- 1, but not sum the same row twice?

I tried building a loop function but I get stuck when using row indices with data frames. Example: If the following data frame is given

```df
A B
[1,]  1 4
[2,]  1 3
[3,]  3 5
[4,]  3 7
[5,]  4 3
[6,]  5 2
```

What I want to obtain is the next data frame:

```df
A B
[1,]  1 7
[2,]  3 15
[3,]  5 2
```

Moreover if a have a large data frame like this:

```df
chr     start           stop            m       n       s
chr1    71533361        71533362        23      1       -
chr1    71533361        71533362        24      26      -
chr1    71533361        71533362        25      1       -
```

and I want my result to look like this (I chose the row for which the value in column m is max):

```df
chr1    71533361        71533362        24      28      -
```

Try the following, assuming your original dataframe is df:

```df2 <- df # create a duplicate df to destroy
z <- data.frame(nrow=length(unique(df\$A)), ncol=2) # output dataframe
names(z) <- c("A","B")
j <- 1 # output indexing variable
u <- unique(df\$A) # unique vals of A
i <- u[1]
s <- TRUE # just for the while() loop
while(s){
z[j,] <- c(i,sum(df2[df2\$A %in% c(i-1,i,i+1),2]))
df2 <- df2[!df2\$A %in% c(i-1,i,i+1),]
j <- j + 1 # index the output
u <- u[!u %in% c(i-1,i,i+1)] # cleanup the u vector
if(length(u)==0) # conditionally exit the loop
s <- FALSE
else
i <- min(u) # reset value to sum by
}
```

I know that's kind of messy code, but it's a sort of tough problem given all of the different indices.