x <- matrix(c(letters[1:10], LETTERS[1:10]), 2, byrow = T)
print(x)
# [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
# [1,] "a" "b" "c" "d" "e" "f" "g" "h" "i" "j"
# [2,] "A" "B" "C" "D" "E" "F" "G" "H" "I" "J"
ind <- as.matrix(expand.grid(replicate(10, 1:2, simplify = F)))
res <- t(apply(ind, 1, function(k) {
diag(x[k,])
}))
head(res)
# [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
# [1,] "a" "c" "e" "g" "i" "k" "m" "o" "q" "s"
# [2,] "b" "c" "e" "g" "i" "k" "m" "o" "q" "s"
# [3,] "a" "d" "e" "g" "i" "k" "m" "o" "q" "s"
# [4,] "b" "d" "e" "g" "i" "k" "m" "o" "q" "s"
# [5,] "a" "c" "f" "g" "i" "k" "m" "o" "q" "s"
# [6,] "b" "c" "f" "g" "i" "k" "m" "o" "q" "s"
tail(res)
# [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
# [1019,] "a" "B" "c" "D" "E" "F" "G" "H" "I" "J"
# [1020,] "A" "B" "c" "D" "E" "F" "G" "H" "I" "J"
# [1021,] "a" "b" "C" "D" "E" "F" "G" "H" "I" "J"
# [1022,] "A" "b" "C" "D" "E" "F" "G" "H" "I" "J"
# [1023,] "a" "B" "C" "D" "E" "F" "G" "H" "I" "J"
# [1024,] "A" "B" "C" "D" "E" "F" "G" "H" "I" "J"
dim(res) # totally 1024 combinations
res[1, ]
res[2, ]
#...
res[1024, ]
eCA8LSBtYXRyaXgoYyhsZXR0ZXJzWzE6MTBdLCBMRVRURVJTWzE6MTBdKSwgMiwgYnlyb3cgPSBUKQpwcmludCh4KQojICAgICAgWywxXSBbLDJdIFssM10gWyw0XSBbLDVdIFssNl0gWyw3XSBbLDhdIFssOV0gWywxMF0KIyBbMSxdICJhIiAgImIiICAiYyIgICJkIiAgImUiICAiZiIgICJnIiAgImgiICAiaSIgICJqIiAgCiMgWzIsXSAiQSIgICJCIiAgIkMiICAiRCIgICJFIiAgIkYiICAiRyIgICJIIiAgIkkiICAiSiIgIAppbmQgPC0gYXMubWF0cml4KGV4cGFuZC5ncmlkKHJlcGxpY2F0ZSgxMCwgMToyLCBzaW1wbGlmeSA9IEYpKSkKcmVzIDwtIHQoYXBwbHkoaW5kLCAxLCBmdW5jdGlvbihrKSB7CiAgZGlhZyh4W2ssXSkKfSkpCmhlYWQocmVzKQojICAgICAgWywxXSBbLDJdIFssM10gWyw0XSBbLDVdIFssNl0gWyw3XSBbLDhdIFssOV0gWywxMF0KIyBbMSxdICJhIiAgImMiICAiZSIgICJnIiAgImkiICAiayIgICJtIiAgIm8iICAicSIgICJzIiAgCiMgWzIsXSAiYiIgICJjIiAgImUiICAiZyIgICJpIiAgImsiICAibSIgICJvIiAgInEiICAicyIgIAojIFszLF0gImEiICAiZCIgICJlIiAgImciICAiaSIgICJrIiAgIm0iICAibyIgICJxIiAgInMiICAKIyBbNCxdICJiIiAgImQiICAiZSIgICJnIiAgImkiICAiayIgICJtIiAgIm8iICAicSIgICJzIiAgCiMgWzUsXSAiYSIgICJjIiAgImYiICAiZyIgICJpIiAgImsiICAibSIgICJvIiAgInEiICAicyIgIAojIFs2LF0gImIiICAiYyIgICJmIiAgImciICAiaSIgICJrIiAgIm0iICAibyIgICJxIiAgInMiICAKdGFpbChyZXMpCiMgICAgICAgICBbLDFdIFssMl0gWywzXSBbLDRdIFssNV0gWyw2XSBbLDddIFssOF0gWyw5XSBbLDEwXQojIFsxMDE5LF0gImEiICAiQiIgICJjIiAgIkQiICAiRSIgICJGIiAgIkciICAiSCIgICJJIiAgIkoiICAKIyBbMTAyMCxdICJBIiAgIkIiICAiYyIgICJEIiAgIkUiICAiRiIgICJHIiAgIkgiICAiSSIgICJKIiAgCiMgWzEwMjEsXSAiYSIgICJiIiAgIkMiICAiRCIgICJFIiAgIkYiICAiRyIgICJIIiAgIkkiICAiSiIgIAojIFsxMDIyLF0gIkEiICAiYiIgICJDIiAgIkQiICAiRSIgICJGIiAgIkciICAiSCIgICJJIiAgIkoiICAKIyBbMTAyMyxdICJhIiAgIkIiICAiQyIgICJEIiAgIkUiICAiRiIgICJHIiAgIkgiICAiSSIgICJKIiAgCiMgWzEwMjQsXSAiQSIgICJCIiAgIkMiICAiRCIgICJFIiAgIkYiICAiRyIgICJIIiAgIkkiICAiSiIgIAoKZGltKHJlcykgICAjIHRvdGFsbHkgMTAyNCBjb21iaW5hdGlvbnMKCgpyZXNbMSwgXQpyZXNbMiwgXQojLi4uCnJlc1sxMDI0LCBdCg==
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] "a" "b" "c" "d" "e" "f" "g" "h" "i" "j"
[2,] "A" "B" "C" "D" "E" "F" "G" "H" "I" "J"
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1,] "a" "b" "c" "d" "e" "f" "g" "h" "i" "j"
[2,] "A" "b" "c" "d" "e" "f" "g" "h" "i" "j"
[3,] "a" "B" "c" "d" "e" "f" "g" "h" "i" "j"
[4,] "A" "B" "c" "d" "e" "f" "g" "h" "i" "j"
[5,] "a" "b" "C" "d" "e" "f" "g" "h" "i" "j"
[6,] "A" "b" "C" "d" "e" "f" "g" "h" "i" "j"
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
[1019,] "a" "B" "c" "D" "E" "F" "G" "H" "I" "J"
[1020,] "A" "B" "c" "D" "E" "F" "G" "H" "I" "J"
[1021,] "a" "b" "C" "D" "E" "F" "G" "H" "I" "J"
[1022,] "A" "b" "C" "D" "E" "F" "G" "H" "I" "J"
[1023,] "a" "B" "C" "D" "E" "F" "G" "H" "I" "J"
[1024,] "A" "B" "C" "D" "E" "F" "G" "H" "I" "J"
[1] 1024 10
[1] "a" "b" "c" "d" "e" "f" "g" "h" "i" "j"
[1] "A" "b" "c" "d" "e" "f" "g" "h" "i" "j"
[1] "A" "B" "C" "D" "E" "F" "G" "H" "I" "J"