package main

import (
	"bufio"
	"fmt"
	"os"
)

func main() {
	in := bufio.NewReader(os.Stdin)
	var n int
	if _, err := fmt.Fscan(in, &n); err != nil {
		return
	}

	pts := make([][5]int, n)
	for i := 0; i < n; i++ {
		for j := 0; j < 5; j++ {
			fmt.Fscan(in, &pts[i][j])
		}
	}

	var good []int
	for i := 0; i < n; i++ {
		isGood := true
		for j := 0; j < n; j++ {
			if i == j {
				continue
			}
			for k := j + 1; k < n; k++ {
				if i == k {
					continue
				}
				dot := 0
				for d := 0; d < 5; d++ {
					dot += (pts[j][d] - pts[i][d]) * (pts[k][d] - pts[i][d])
				}
				if dot > 0 {
					isGood = false
					break
				}
			}
			if !isGood {
				break
			}
		}
		if isGood {
			good = append(good, i+1)
		}
	}

	fmt.Println(len(good))
	for _, idx := range good {
		fmt.Println(idx)
	}
}