For problem statement at 0-999/700-799/760-769/768/problemB.txt this is a correct solution, but verifier at 0-999/700-799/760-769/768/verifierB.go ends with All tests passed can you fix the verifier? ```go
package main
import (
"fmt"
"math/big"
)
var memo map[uint64]uint64
// countOnes returns the total number of 1s in the final list generated from n
func countOnes(n uint64) uint64 {
if n == 0 {
return 0
}
if n == 1 {
return 1
}
if val, ok := memo[n]; ok {
return val
}
result := 2*countOnes(n/2) + (n % 2)
memo[n] = result
return result
}
// length returns the length of the final list generated from n
var lengthMemo map[uint64]*big.Int
func length(n uint64) *big.Int {
if n <= 1 {
return big.NewInt(1)
}
if val, ok := lengthMemo[n]; ok {
return val
}
// length(n) = 2*length(n/2) + 1
half := length(n / 2)
result := new(big.Int).Mul(half, big.NewInt(2))
result.Add(result, big.NewInt(1))
lengthMemo[n] = result
return result
}
// countOnesInRange counts the number of 1s in positions [l, r] (1-indexed) of the list generated from n
// pos is the starting position of this node's list (1-indexed)
func countOnesInRange(n uint64, l, r *big.Int) uint64 {
// The list for n has length len(n)
// Structure: [list(n/2), n%2, list(n/2)]
if n == 0 {
return 0
}
if n == 1 {
return 1
}
len_n := length(n)
// Check if [l, r] covers entire range
if l.Cmp(big.NewInt(1)) == 0 && r.Cmp(len_n) == 0 {
return countOnes(n)
}
half := length(n / 2)
// Middle element is at position half+1
middlePos := new(big.Int).Add(half, big.NewInt(1))
result := uint64(0)
// Left subtree: positions 1 to half
// We need intersection of [l, r] with [1, half]
leftEnd := half
lLeft := maxBig(l, big.NewInt(1))
rLeft := minBig(r, leftEnd)
if lLeft.Cmp(rLeft) <= 0 {
result += countOnesInRange(n/2, lLeft, rLeft)
}
// Middle element at position middlePos
if l.Cmp(middlePos) <= 0 && middlePos.Cmp(r) <= 0 {
result += n % 2
}
// Right subtree: positions middlePos+1 to len_n
// corresponds to positions 1 to half in n/2's list
rightStart := new(big.Int).Add(middlePos, big.NewInt(1))
lRight := maxBig(l, rightStart)
rRight := minBig(r, len_n)
if lRight.Cmp(rRight) <= 0 {
// Convert to local positions in n/2's list
offset := new(big.Int).Sub(rightStart, big.NewInt(1))
lLocal := new(big.Int).Sub(lRight, offset)
rLocal := new(big.Int).Sub(rRight, offset)
result += countOnesInRange(n/2, lLocal, rLocal)
}
return result
}
func maxBig(a, b *big.Int) *big.Int {
if a.Cmp(b) >= 0 {
return a
}
return b
}
func minBig(a, b *big.Int) *big.Int {
if a.Cmp(b) <= 0 {
return a
}
return b
}
func main() {
var n uint64
var l, r int64
fmt.Scan(&n, &l, &r)
memo = make(map[uint64]uint64)
lengthMemo = make(map[uint64]*big.Int)
lBig := big.NewInt(l)
rBig := big.NewInt(r)
result := countOnesInRange(n, lBig, rBig)
fmt.Println(result)
}
```