For problem statement at 0-999/200-299/270-279/274/problemC.txt this is a correct solution, but verifier at 0-999/200-299/270-279/274/verifierC.go ends with All tests passed can you fix the verifier? package main

import (
	"bufio"
	"fmt"
	"math"
	"math/bits"
	"os"
	"sort"
)

const maxWords = 76

type Point struct {
	x, y int64
}

type Rat struct {
	hi, lo, den uint64
}

type Edge struct {
	u, v  int
	val   Rat
	cycle int
}

type Triangle struct {
	ids [3]int32
	val Rat
}

type DSU struct {
	p []int
	r []int
}

func NewDSU(n int) *DSU {
	p := make([]int, n)
	r := make([]int, n)
	for i := 0; i < n; i++ {
		p[i] = i
	}
	return &DSU{p: p, r: r}
}

func (d *DSU) Find(x int) int {
	for d.p[x] != x {
		d.p[x] = d.p[d.p[x]]
		x = d.p[x]
	}
	return x
}

func (d *DSU) Union(a, b int) bool {
	ra := d.Find(a)
	rb := d.Find(b)
	if ra == rb {
		return false
	}
	if d.r[ra] < d.r[rb] {
		ra, rb = rb, ra
	}
	d.p[rb] = ra
	if d.r[ra] == d.r[rb] {
		d.r[ra]++
	}
	return true
}

func dist2(a, b Point) uint64 {
	dx := a.x - b.x
	dy := a.y - b.y
	return uint64(dx*dx + dy*dy)
}

func mul128by64(hi, lo, x uint64) (w2, w1, w0 uint64) {
	p1hi, p1lo := bits.Mul64(lo, x)
	p2hi, p2lo := bits.Mul64(hi, x)
	w0 = p1lo
	w1, xcarry := bits.Add64(p1hi, p2lo, 0)
	w2 = p2hi + xcarry
	return
}

func cmpRat(a, b Rat) int {
	if a.den == b.den {
		if a.hi < b.hi {
			return -1
		}
		if a.hi > b.hi {
			return 1
		}
		if a.lo < b.lo {
			return -1
		}
		if a.lo > b.lo {
			return 1
		}
		return 0
	}
	a2, a1, a0 := mul128by64(a.hi, a.lo, b.den)
	b2, b1, b0 := mul128by64(b.hi, b.lo, a.den)
	if a2 < b2 {
		return -1
	}
	if a2 > b2 {
		return 1
	}
	if a1 < b1 {
		return -1
	}
	if a1 > b1 {
		return 1
	}
	if a0 < b0 {
		return -1
	}
	if a0 > b0 {
		return 1
	}
	return 0
}

func triangleRat(i, j, k int, pts []Point, d2 [][]uint64) Rat {
	a2 := d2[j][k]
	b2 := d2[i][k]
	c2 := d2[i][j]
	l2 := a2
	if b2 > l2 {
		l2 = b2
	}
	if c2 > l2 {
		l2 = c2
	}
	if l2 >= a2+b2+c2-l2 {
		return Rat{0, l2, 4}
	}
	cross := (pts[j].x-pts[i].x)*(pts[k].y-pts[i].y) - (pts[j].y-pts[i].y)*(pts[k].x-pts[i].x)
	if cross < 0 {
		cross = -cross
	}
	den := 4 * uint64(cross) * uint64(cross)
	hi1, lo1 := bits.Mul64(a2, b2)
	w2, w1, w0 := mul128by64(hi1, lo1, c2)
	_ = w2
	return Rat{w1, w0, den}
}

func highBitWords(col *[maxWords]uint64, words int) int {
	for i := words - 1; i >= 0; i-- {
		if x := col[i]; x != 0 {
			return i*64 + bits.Len64(x) - 1
		}
	}
	return -1
}

func ratFloat(r Rat) float64 {
	return (math.Ldexp(float64(r.hi), 64) + float64(r.lo)) / float64(r.den)
}

func main() {
	in := bufio.NewReaderSize(os.Stdin, 1<<20)
	out := bufio.NewWriterSize(os.Stdout, 1<<20)
	defer out.Flush()

	var n int
	fmt.Fscan(in, &n)
	pts := make([]Point, n)
	for i := 0; i < n; i++ {
		fmt.Fscan(in, &pts[i].x, &pts[i].y)
	}

	if n < 3 {
		fmt.Fprintln(out, -1)
		return
	}

	d2 := make([][]uint64, n)
	for i := range d2 {
		d2[i] = make([]uint64, n)
	}

	edges := make([]Edge, 0, n*(n-1)/2)
	for i := 0; i < n; i++ {
		for j := i + 1; j < n; j++ {
			d := dist2(pts[i], pts[j])
			d2[i][j] = d
			d2[j][i] = d
			edges = append(edges, Edge{u: i, v: j, val: Rat{0, d, 4}, cycle: -1})
		}
	}

	sort.Slice(edges, func(i, j int) bool {
		c := cmpRat(edges[i].val, edges[j].val)
		if c != 0 {
			return c < 0
		}
		if edges[i].u != edges[j].u {
			return edges[i].u < edges[j].u
		}
		return edges[i].v < edges[j].v
	})

	cycleMat := make([][]int, n)
	for i := 0; i < n; i++ {
		cycleMat[i] = make([]int, n)
		for j := 0; j < n; j++ {
			cycleMat[i][j] = -1
		}
	}

	ds := NewDSU(n)
	cycleCount := 0
	for i := range edges {
		if ds.Union(edges[i].u, edges[i].v) {
			edges[i].cycle = -1
		} else {
			edges[i].cycle = cycleCount
			cycleMat[edges[i].u][edges[i].v] = cycleCount
			cycleMat[edges[i].v][edges[i].u] = cycleCount
			cycleCount++
		}
	}

	tris := make([]Triangle, 0, n*(n-1)*(n-2)/6)
	for i := 0; i < n; i++ {
		for j := i + 1; j < n; j++ {
			for k := j + 1; k < n; k++ {
				t := Triangle{val: triangleRat(i, j, k, pts, d2)}
				t.ids[0] = int32(cycleMat[i][j])
				t.ids[1] = int32(cycleMat[i][k])
				t.ids[2] = int32(cycleMat[j][k])
				tris = append(tris, t)
			}
		}
	}

	sort.Slice(tris, func(i, j int) bool {
		c := cmpRat(tris[i].val, tris[j].val)
		if c != 0 {
			return c < 0
		}
		if tris[i].ids[0] != tris[j].ids[0] {
			return tris[i].ids[0] < tris[j].ids[0]
		}
		if tris[i].ids[1] != tris[j].ids[1] {
			return tris[i].ids[1] < tris[j].ids[1]
		}
		return tris[i].ids[2] < tris[j].ids[2]
	})

	hasPivot := make([]bool, cycleCount)
	pivotData := make([][maxWords]uint64, cycleCount)

	epos, tpos := 0, 0
	cycleAdded, rank := 0, 0
	seenHole := false
	hasAns := false
	var ans Rat

	for epos < len(edges) || tpos < len(tris) {
		var cur Rat
		if tpos == len(tris) || (epos < len(edges) && cmpRat(edges[epos].val, tris[tpos].val) < 0) {
			cur = edges[epos].val
		} else {
			cur = tris[tpos].val
		}

		betaBefore := cycleAdded - rank

		for epos < len(edges) && cmpRat(edges[epos].val, cur) == 0 {
			if edges[epos].cycle >= 0 {
				cycleAdded++
			}
			epos++
		}

		for tpos < len(tris) && cmpRat(tris[tpos].val, cur) == 0 {
			var col [maxWords]uint64
			p := -1
			for _, v := range tris[tpos].ids {
				id := int(v)
				if id >= 0 {
					col[id>>6] ^= uint64(1) << (uint(id) & 63)
					if id > p {
						p = id
					}
				}
			}
			for p >= 0 {
				if !hasPivot[p] {
					hasPivot[p] = true
					pivotData[p] = col
					rank++
					break
				}
				pw := p >> 6
				pd := &pivotData[p]
				for i := 0; i <= pw; i++ {
					col[i] ^= pd[i]
				}
				p = highBitWords(&col, pw+1)
			}
			tpos++
		}

		betaAfter := cycleAdded - rank
		if betaAfter > 0 {
			seenHole = true
		}
		if betaBefore > 0 && betaAfter == 0 {
			ans = cur
			hasAns = true
		}
	}

	if !seenHole || !hasAns {
		fmt.Fprintln(out, -1)
		return
	}
	fmt.Fprintf(out, "%.10f\n", math.Sqrt(ratFloat(ans)))
}