## Le Monde puzzle [#1133] A weekly Monde current mathematical puzzle that reminded me of an earlier one (but was too lazy to check):

If ADULE-ELUDA=POINT, was is the largest possible value of POINT? With the convention that all letters correspond to different digits and no digit can start with 0. Same question when ADULE+ELUDA=POINT.

The run of a brute force R search return 65934 as the solution (codegolf welcomed!)

```dify<-function(adule)
num2dig<-function(dif) (dif%/%10^(0:4))%%10
sl=NULL
for (t in 1:1e6){
sl=as.matrix(distinct(as.data.frame(sl),.keep_all = TRUE))
```

where distinct is a dplyr R function.

```> 94581-18549
 76032
```

The code can be easily turned into solving the second question

```> 31782+28713
 60495
```

### 4 Responses to “Le Monde puzzle [#1133]”

1. szcfweiya Says:

Hi Prof. Robert,

There might be some typos:

– in your question statement, `ELUDE` should be `ELUDA`,
– in your `dify` function, redundant `point` argument
– and `dify(aluda)` should be `dify(alude)` in the main code.

And you said the solution is 65934 before your code, but you return 76032 later.

I tried to make a slight modification, replacing `sample` with `for loop`, which seems shorter.

“`R
dify<-function(alude)
(sum(alude*10^(4:0))-sum(rev(alude)*10^(4:0)))
num2dig0)rev((dif%/%10^(0:4))%%10)else numeric(5)
sl=NULL
for (t in (1e5-1):1e4){
“`

• xi'an Says:

Thanks for the pointers.

2. Le Monde puzzle [#1133] | R-bloggers Says:

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