For problem statement at 0-999/600-699/660-669/665/problemD.txt this is a correct solution, but verifier at 0-999/600-699/660-669/665/verifierD.go ends with case 52 failed: expected "1\n14" got "1\n52"
input:
4
14 52 42 78
exit status 1 can you fix the verifier? ```go
package main
import (
"bufio"
"fmt"
"os"
"strconv"
)
const MAX_SUM = 2000005
var isPrime [MAX_SUM]bool
func initSieve() {
for i := range isPrime {
isPrime[i] = true
}
isPrime[0] = false
isPrime[1] = false
for i := 2; i*i < MAX_SUM; i++ {
if isPrime[i] {
for j := i * i; j < MAX_SUM; j += i {
isPrime[j] = false
}
}
}
}
func main() {
initSieve()
scanner := bufio.NewScanner(os.Stdin)
scanner.Split(bufio.ScanWords)
if !scanner.Scan() {
return
}
n, _ := strconv.Atoi(scanner.Text())
a := make([]int, n)
var ones []int
var others []int
for i := 0; i < n; i++ {
scanner.Scan()
val, _ := strconv.Atoi(scanner.Text())
a[i] = val
if val == 1 {
ones = append(ones, val)
} else {
others = append(others, val)
}
}
// Strategy 1: Take all 1s.
// Since 1+1=2 (prime), a set of only 1s is valid.
// We can add at most one number x > 1 to the set of 1s, provided 1+x is prime.
var ans []int
ans = append(ans, ones...)
for _, x := range others {
if isPrime[x+1] {
ans = append(ans, x)
break // Only one such number can be added
}
}
// Strategy 2: If the size obtained from Strategy 1 is small (less than 2),
// check if we can form a simple subset of size 2 using two numbers > 1.
// Note: A simple subset with no 1s can have size at most 2 (at most one even, at most one odd).
if len(ans) < 2 {
foundPair := false
for i := 0; i < n; i++ {
for j := i + 1; j < n; j++ {
if isPrime[a[i]+a[j]] {
ans = []int{a[i], a[j]}
foundPair = true
break
}
}
if foundPair {
break
}
}
// If no pair found and no 1s were present, we must output at least one element.
if !foundPair && len(ans) == 0 {
ans = []int{a[0]}
}
}
fmt.Println(len(ans))
for i, x := range ans {
if i > 0 {
fmt.Print(" ")
}
fmt.Print(x)
}
fmt.Println()
}
```