For problem statement at 2000-2999/2000-2099/2070-2079/2070/problemE.txt this is a correct solution, but verifier at 2000-2999/2000-2099/2070-2079/2070/verifierE.go ends with All 78 tests passed. can you fix the verifier? ```go
package main
import (
"bufio"
"fmt"
"os"
)
func main() {
// Configure fast I/O
reader := bufio.NewReader(os.Stdin)
writer := bufio.NewWriter(os.Stdout)
defer writer.Flush()
var n int
fmt.Fscan(reader, &n)
var s string
fmt.Fscan(reader, &s)
// Based on game analysis:
// Alice (Player 1) removes "00" (two 0s).
// Bob (Player 2) removes "01", "10", or "11" (at least one 1).
// Under optimal play, Alice wins a substring if:
// cnt0 >= 3*cnt1 + 2 OR cnt0 == 3*cnt1 - 1
// where cnt0 is count of '0's and cnt1 is count of '1's.
//
// We can transform this into a weighted sum problem.
// Assign weight 1 to '0' and -3 to '1'.
// Let S be the sum of weights in the substring.
// S = 1*cnt0 + (-3)*cnt1 = cnt0 - 3*cnt1.
// Conditions become:
// 1) cnt0 - 3*cnt1 >= 2 => S >= 2
// 2) cnt0 - 3*cnt1 == -1 => S == -1
//
// We need to count pairs (l, r) such that P[r] - P[l-1] satisfies these conditions.
// P[r] - P[l-1] >= 2 => P[l-1] <= P[r] - 2
// P[r] - P[l-1] == -1 => P[l-1] == P[r] + 1
// Max value of P[i] is N (all 0s), Min value is -3N (all 1s).
// We use an offset to map values to positive indices for a Fenwick Tree (BIT).
// Range roughly -3N to N. Size ~ 4N.
offset := 3*n + 5
limit := 4*n + 20
bit := make([]int, limit)
freq := make([]int, limit)
// Add val to BIT at idx
add := func(idx, val int) {
for ; idx < limit; idx += idx & -idx {
bit[idx] += val
}
}
// Query sum from 1 to idx
query := func(idx int) int {
res := 0
for ; idx > 0; idx -= idx & -idx {
res += bit[idx]
}
return res
}
curr := 0
// Add initial prefix sum P[0] = 0
startIdx := curr + offset
add(startIdx, 1)
freq[startIdx]++
var ans int64 = 0
for _, char := range s {
if char == '0' {
curr++
} else {
curr -= 3
}
// Count previous prefix sums satisfying P[l-1] <= curr - 2
targetLe := curr - 2 + offset
if targetLe > 0 {
if targetLe >= limit {
targetLe = limit - 1
}
ans += int64(query(targetLe))
}
// Count previous prefix sums satisfying P[l-1] == curr + 1
targetEq := curr + 1 + offset
if targetEq >= 0 && targetEq < limit {
ans += int64(freq[targetEq])
}
// Add current prefix sum to data structures
idx := curr + offset
add(idx, 1)
freq[idx]++
}
fmt.Fprintln(writer, ans)
}
```