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For problem statement at 0-999/100-199/170-179/178/problemE1.txt this is a correct solution, but verifier at 0-999/100-199/170-179/178/verifierE1.go ends with test 1 failed input: 206 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 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0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 exit status 1 can you fix the verifier? ```go package main import ( "bufio" "fmt" "os" ) func main() { // Use buffered I/O for speed scanner := bufio.NewScanner(os.Stdin) scanner.Split(bufio.ScanWords) if !scanner.Scan() { return } n := parseInt(scanner.Bytes()) // Read grid grid := make([][]int8, n) for i := 0; i < n; i++ { grid[i] = make([]int8, n) for j := 0; j < n; j++ { scanner.Scan() b := scanner.Bytes() if len(b) > 0 && b[0] == '1' { grid[i][j] = 1 } } } // Calculate Prefix Sums (Integral Image) for fast local averaging sum := make([][]int, n+1) for i := 0; i < n+1; i++ { sum[i] = make([]int, n+1) } for i := 0; i < n; i++ { rowSum := 0 for j := 0; j < n; j++ { rowSum += int(grid[i][j]) sum[i+1][j+1] = sum[i][j+1] + rowSum } } visited := make([][]bool, n) for i := range visited { visited[i] = make([]bool, n) } circles := 0 squares := 0 // Queue for BFS, reused to hold component pixels q := make([][2]int, 0, n*n) dys := []int{-1, 1, 0, 0} dxs := []int{0, 0, -1, 1} // Iterate over the grid to find components for i := 0; i < n; i++ { for j := 0; j < n; j++ { if visited[i][j] { continue } // Apply 5x5 box filter (smoothing) to handle noise // Check if current pixel neighborhood has enough black pixels rMin := i - 2 if rMin < 0 { rMin = 0 } rMax := i + 2 if rMax >= n { rMax = n - 1 } cMin := j - 2 if cMin < 0 { cMin = 0 } cMax := j + 2 if cMax >= n { cMax = n - 1 } // Calculate sum in window val := sum[rMax+1][cMax+1] - sum[rMin][cMax+1] - sum[rMax+1][cMin] + sum[rMin][cMin] // Threshold: 13 out of 25 pixels (approx 50%) separates 20% noise from object if val < 13 { continue } // BFS to find connected component on the smoothed image visited[i][j] = true q = q[:0] q = append(q, [2]int{i, j}) head := 0 for head < len(q) { curr := q[head] head++ cy, cx := curr[0], curr[1] for k := 0; k < 4; k++ { ny, nx := cy+dys[k], cx+dxs[k] if ny >= 0 && ny < n && nx >= 0 && nx < n && !visited[ny][nx] { // Check neighbor's smoothed value nrMin := ny - 2 if nrMin < 0 { nrMin = 0 } nrMax := ny + 2 if nrMax >= n { nrMax = n - 1 } ncMin := nx - 2 if ncMin < 0 { ncMin = 0 } ncMax := nx + 2 if ncMax >= n { ncMax = n - 1 } sVal := sum[nrMax+1][ncMax+1] - sum[nrMin][ncMax+1] - sum[nrMax+1][ncMin] + sum[nrMin][ncMin] if sVal >= 13 { visited[ny][nx] = true q = append(q, [2]int{ny, nx}) } } } } // Filter small components (noise artifacts) // Shapes are at least size 15 (~225 area). Eroded area > 120 is safe. if len(q) > 120 { if solve(q) == 1 { circles++ } else { squares++ } } } } fmt.Println(circles, squares) } func parseInt(b []byte) int { res := 0 for _, c := range b { res = res*10 + int(c-'0') } return res } // Classify component as Circle (1) or Square (2) func solve(pts [][2]int) int { sumY, sumX := 0, 0 for _, p := range pts { sumY += p[0] sumX += p[1] } count := float64(len(pts)) cY := float64(sumY) / count cX := float64(sumX) / count maxDistSq := 0.0 for _, p := range pts { dy := float64(p[0]) - cY dx := float64(p[1]) - cX d2 := dy*dy + dx*dx if d2 > maxDistSq { maxDistSq = d2 } } if maxDistSq == 0 { return 2 } // Metric: Area / (MaxDistance^2) // For Circle: Area = Pi*R^2, MaxDist = R. Ratio ~ 3.14 // For Square: Area = a^2, MaxDist = a/sqrt(2). Ratio = a^2 / (a^2/2) = 2.0 // Smoothing erodes corners of squares, raising the ratio slightly (e.g. to 2.3). // Threshold of 2.6 reliably separates them. ratio := count / maxDistSq if ratio > 2.6 { return 1 } return 2 } ```