package main

import . "fmt"
import "math/rand"

const M int = 1e8

func min(a,b int) int {
	if a<b {
		return a
	}
	return b
}

func abs(a int) int {
	if a<0 {
		return -a
	}
	return a
}

func max(a,b int) int{
	return a^b^min(a,b)
}

func calc(n int, a [][]int, c[]int) (s int) {
	x:=make([]int,n)
	copy(x,c)
	for i:=n-1;i>=0;i-- {
		for j:=range a[i] {
			d:=abs(x[j]-a[i][j])
			s=max(s,min(d,M-d))
			if j+1<len(x) {
				x[j]+=x[j+1]
				x[j]%=M
			}
		}
	}
	return
}

func random(n int, a [][]int) (c []int) {
	c=make([]int,n)
	for i:=range c {
		x:=a[n-1][i]+rand.Intn(M)
		if x<0 {
			x+=M
		}
		c[i]=x%M
	}
	return
}

func main() {
	var n int
	Scan(&n)
	
	a:=make([][]int,n)
	for i:=range a {
		a[i]=make([]int,i+1)
		for j:=range a[i] {
			Scan(&a[i][j])
		}
	}
	c:=make([]int,n)
	copy(c,a[n-1])
	s:=calc(n,a,c)
	for i:=0;i<3e4;i++ {
		t:=random(n,a)
		ts:=calc(n,a,t)
		if ts<s {
			s=ts
			c=t
		}
	}
	for i:=0;i<4e3;i++ {
		x:=make([]int,n)
		copy(x,c)
		for j,v:=range x {
			p:=v+rand.Intn(M)/10-M/20
			if p<0 {
				p+=M
			}
			p%=M
			x[j]=p
			ts:=calc(n,a,x)
			if ts<s {
				s=ts
				copy(c,x)
			} else {
				x[j]=v
			}
		}
	}
	for i:=0;i<2e3;i++ {
		j:=rand.Intn(n)
		k:=j+rand.Intn(n-2)+1
		k%=n
		v:=c[j]
				w:=c[k]
				c[j]=(v+rand.Intn(M)/10-M/20+M)%M
				c[k]=(w+rand.Intn(M)/10-M/20+M)%M
				
				ts:=calc(n,a,c)
				if ts<s {
					s=ts
				} else {
					c[j]=v
					c[k]=w
				}
	}
	for i,v:=range c {
		if i>0 {
			Print(" ")
		}
		Print(v)
	}
	Println()
}