For problem statement at 0-999/900-999/960-969/961/problemF.txt this is a correct solution, but verifier at 0-999/900-999/960-969/961/verifierF.go ends with All tests passed can you fix the verifier? ```go
package main
import (
"bufio"
"fmt"
"os"
"strconv"
)
func main() {
// Configure scanner for fast I/O
scanner := bufio.NewScanner(os.Stdin)
const maxCapacity = 2 * 1024 * 1024 // 2MB buffer for large input
buf := make([]byte, maxCapacity)
scanner.Buffer(buf, maxCapacity)
scanner.Split(bufio.ScanWords)
if !scanner.Scan() {
return
}
n, _ := strconv.Atoi(scanner.Text())
if !scanner.Scan() {
return
}
s := scanner.Text()
// Rolling Hash Constants
const mod1 int64 = 1000000007
const mod2 int64 = 1000000009
const base1 int64 = 31
const base2 int64 = 37
// Precompute powers and hashes
pow1 := make([]int64, n+1)
pow2 := make([]int64, n+1)
h1 := make([]int64, n+1)
h2 := make([]int64, n+1)
pow1[0] = 1
pow2[0] = 1
for i := 1; i <= n; i++ {
pow1[i] = (pow1[i-1] * base1) % mod1
pow2[i] = (pow2[i-1] * base2) % mod2
}
for i := 0; i < n; i++ {
c := int64(s[i] - 'a' + 1)
h1[i+1] = (h1[i]*base1 + c) % mod1
h2[i+1] = (h2[i]*base2 + c) % mod2
}
// Function to get hash of substring s[l-1...r-1] (1-based l, r)
getHash := func(l, r int) (int64, int64) {
lenS := r - l + 1
v1 := (h1[r] - h1[l-1]*pow1[lenS]) % mod1
if v1 < 0 {
v1 += mod1
}
v2 := (h2[r] - h2[l-1]*pow2[lenS]) % mod2
if v2 < 0 {
v2 += mod2
}
return v1, v2
}
numSubs := (n + 1) / 2
ans := make([]int, numSubs+1)
// Iterate from the innermost substring outwards
// We use the fact that if T_k has an odd border of length L,
// then T_{k+1} has an odd border of length L-2.
// Conversely, ans[k] <= ans[k+1] + 2.
for k := numSubs; k >= 1; k-- {
lenT := n + 2 - 2*k
var cand int
if k == numSubs {
// Innermost substring
// Max possible odd length must be < lenT
if lenT%2 == 0 {
cand = lenT - 1
} else {
cand = lenT - 2
}
} else {
// Use result from previous (inner) substring to limit search
if ans[k+1] != -1 {
cand = ans[k+1] + 2
} else {
cand = 1
}
// Must be proper suprefix, i.e., length < lenT
if cand >= lenT {
cand -= 2
}
}
res := -1
// Check candidates in decreasing order. First match is maximal.
for cand > 0 {
// Check if T_k has border of length cand
// Prefix of T_k starts at index k in s, length cand
// Suffix of T_k ends at index n-k+1 in s, length cand
pL, pR := k, k+cand-1
sL, sR := n-k-cand+2, n-k+1
hv1_p, hv2_p := getHash(pL, pR)
hv1_s, hv2_s := getHash(sL, sR)
if hv1_p == hv1_s && hv2_p == hv2_s {
res = cand
break
}
cand -= 2
}
ans[k] = res
}
// Output results
out := bufio.NewWriter(os.Stdout)
defer out.Flush()
for i := 1; i <= numSubs; i++ {
if i > 1 {
out.WriteByte(' ')
}
fmt.Fprint(out, ans[i])
}
out.WriteByte('\n')
}
```