For problem statement at 0-999/0-99/0-9/2/problemB.txt this is a correct solution, but verifier at 0-999/0-99/0-9/2/verifierB.go ends with All tests passed can you fix the verifier? ```go
package main
import (
"bufio"
"fmt"
"os"
"strconv"
)
func main() {
// Use buffered I/O for speed
scanner := bufio.NewScanner(os.Stdin)
scanner.Split(bufio.ScanWords)
// Read matrix size n
if !scanner.Scan() {
return
}
n, _ := strconv.Atoi(scanner.Text())
// Matrices to store the counts of factors 2 and 5 for each cell
mat2 := make([][]int, n)
mat5 := make([][]int, n)
for i := 0; i < n; i++ {
mat2[i] = make([]int, n)
mat5[i] = make([]int, n)
}
zeroRow, zeroCol := -1, -1
// Helper function to count factors of div in val
countFactors := func(val, div int) int {
cnt := 0
for val > 0 && val%div == 0 {
cnt++
val /= div
}
return cnt
}
// Read matrix data
for i := 0; i < n; i++ {
for j := 0; j < n; j++ {
scanner.Scan()
val, _ := strconv.Atoi(scanner.Text())
if val == 0 {
zeroRow, zeroCol = i, j
// Assign cost 1 for 0 to avoid it if possible (searching for 0 cost),
// but correct enough if answer is > 0.
mat2[i][j] = 1
mat5[i][j] = 1
} else {
mat2[i][j] = countFactors(val, 2)
mat5[i][j] = countFactors(val, 5)
}
}
}
// DP function to find minimum path cost and the path itself
solve := func(grid [][]int) (int, string) {
dp := make([][]int, n)
path := make([][]byte, n) // Stores 'D' or 'R'
for i := 0; i < n; i++ {
dp[i] = make([]int, n)
path[i] = make([]byte, n)
}
dp[0][0] = grid[0][0]
for i := 0; i < n; i++ {
for j := 0; j < n; j++ {
if i == 0 && j == 0 {
continue
}
costFromTop := 1 << 30 // Infinity
costFromLeft := 1 << 30
if i > 0 {
costFromTop = dp[i-1][j]
}
if j > 0 {
costFromLeft = dp[i][j-1]
}
if costFromTop < costFromLeft {
dp[i][j] = costFromTop + grid[i][j]
path[i][j] = 'D'
} else {
dp[i][j] = costFromLeft + grid[i][j]
path[i][j] = 'R'
}
}
}
// Reconstruct path from (n-1, n-1) to (0, 0)
resPath := make([]byte, 0, 2*n-2)
r, c := n-1, n-1
for r > 0 || c > 0 {
move := path[r][c]
resPath = append(resPath, move)
if move == 'D' {
r--
} else {
c--
}
}
// Reverse the path string
for i, j := 0, len(resPath)-1; i < j; i, j = i+1, j-1 {
resPath[i], resPath[j] = resPath[j], resPath[i]
}
return dp[n-1][n-1], string(resPath)
}
// Solve for factors of 2 and 5 independently
cost2, path2 := solve(mat2)
cost5, path5 := solve(mat5)
bestCost := cost2
bestPath := path2
if cost5 < cost2 {
bestCost = cost5
bestPath = path5
}
// If there is a zero in the matrix, we can always achieve at most 1 trailing zero.
// If our best DP solution is worse (> 1), we pick the path through the zero.
if zeroRow != -1 && bestCost > 1 {
fmt.Println(1)
// Print a valid path passing through (zeroRow, zeroCol)
// Strategy: go all the way down to zeroRow, then all the way right to zeroCol,
// then to the end.
for k := 0; k < zeroRow; k++ {
fmt.Print("D")
}
for k := 0; k < zeroCol; k++ {
fmt.Print("R")
}
for k := 0; k < n-1-zeroRow; k++ {
fmt.Print("D")
}
for k := 0; k < n-1-zeroCol; k++ {
fmt.Print("R")
}
fmt.Println()
} else {
fmt.Println(bestCost)
fmt.Println(bestPath)
}
}
```