For problem statement at 1000-1999/1600-1699/1630-1639/1634/problemF.txt this is a correct solution, but verifier at 1000-1999/1600-1699/1630-1639/1634/verifierF.go ends with All tests passed can you fix the verifier? ```go
package main

import (
	"bufio"
	"os"
	"strconv"
)

func main() {
	// Configure fast I/O
	scanner := bufio.NewScanner(os.Stdin)
	scanner.Split(bufio.ScanWords)
	// Increase buffer size to handle large inputs safely, though default is usually sufficient for token-based scanning
	buf := make([]byte, 1024*1024)
	scanner.Buffer(buf, len(buf))

	out := bufio.NewWriter(os.Stdout)
	defer out.Flush()

	// Helper to read integers
	readInt := func() int {
		scanner.Scan()
		s := scanner.Text()
		val, _ := strconv.Atoi(s)
		return val
	}

	// Helper to read strings
	readString := func() string {
		scanner.Scan()
		return scanner.Text()
	}

	// Read n, q, mod
	// Use readInt directly; if input is empty it might panic but problem constraints guarantee input
	if !scanner.Scan() {
		return
	}
	n_str := scanner.Text()
	n, _ := strconv.Atoi(n_str)
	q := readInt()
	mod := readInt()

	// Read A and B
	// We calculate D = A - B immediately.
	// Store in d array (1-based for convenience)
	d := make([]int, n+1)
	for i := 1; i <= n; i++ {
		d[i] = readInt()
	}
	for i := 1; i <= n; i++ {
		val := readInt()
		d[i] = (d[i] - val) % mod
		if d[i] < 0 {
			d[i] += mod
		}
	}

	// Precompute Fibonacci numbers modulo mod
	// We need up to n+2 for the updates
	f := make([]int, n+5)
	f[1] = 1 % mod
	if n+5 > 2 {
		f[2] = 1 % mod
		for i := 3; i < n+5; i++ {
			f[i] = (f[i-1] + f[i-2]) % mod
		}
	}

	// Calculate array T where T[i] = D[i] - D[i-1] - D[i-2]
	// If all T[i] == 0 for 1 <= i <= n, then A == B
	t := make([]int, n+1)
	cnt := 0 // Count of non-zero elements in T

	for i := 1; i <= n; i++ {
		val := d[i]
		if i >= 2 {
			val = (val - d[i-1]) % mod
		}
		if i >= 3 {
			val = (val - d[i-2]) % mod
		}
		if val < 0 {
			val += mod
		}
		t[i] = val
		if val != 0 {
			cnt++
		}
	}

	// Helper function to update T at a specific index
	updateT := func(idx, change int) {
		if idx > n {
			return
		}
		oldVal := t[idx]
		newVal := (oldVal + change) % mod
		if newVal < 0 {
			newVal += mod
		}
		t[idx] = newVal
		
		if oldVal == 0 && newVal != 0 {
			cnt++
		} else if oldVal != 0 && newVal == 0 {
			cnt--
		}
	}

	// Process queries
	for i := 0; i < q; i++ {
		typeStr := readString()
		l := readInt()
		r := readInt()

		// Determine sign: +1 for adding to A, -1 for adding to B (subtracting from D)
		sign := 1
		if typeStr == "B" {
			sign = -1
		}

		// Update logic based on Fibonacci difference array properties
		// 1. T[l] += sign * F[1]
		val1 := (sign * f[1]) % mod
		updateT(l, val1)

		// Length of the segment
		lenSeg := r - l + 1

		// 2. T[r+1] -= sign * F[lenSeg + 1]
		val2 := (sign * f[lenSeg+1]) % mod
		updateT(r+1, -val2)

		// 3. T[r+2] -= sign * F[lenSeg]
		val3 := (sign * f[lenSeg]) % mod
		updateT(r+2, -val3)

		if cnt == 0 {
			out.WriteString("YES\n")
		} else {
			out.WriteString("NO\n")
		}
	}
}
```