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input <- readLines("path/to/input") | |
input <- as.integer(input) | |
library(ompr) | |
library(ompr.roi) | |
library(ROI.plugin.glpk) | |
library(tidyverse) | |
n <- length(input) | |
MIPModel() %>% | |
# a variable for each input number | |
add_variable(y[i], type = "binary", i = 1:n) %>% | |
set_objective(0) %>% | |
# we want to select exactly two numbers | |
add_constraint(sum_expr(y[i], i = 1:n) == 2) %>% | |
# the sum of the two selected numbers should be 2020 | |
add_constraint(sum_expr(input[i] * y[i], i = 1:n) == 2020) %>% | |
solve_model(with_ROI("glpk", verbose = FALSE)) %>% | |
get_solution(y[i]) %>% | |
filter(value == 1) %>% | |
pull(i) -> indexes | |
sum(input[indexes]) | |
#> [1] 2020 | |
prod(input[indexes]) | |
#> [1] 357504 |
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