CodeForces 670D

题意：给你一个长度为n的数组来构造出一个矩阵，其中对角线的值是-1，Aij的值就是a[i]&a[j]，现在给出这个矩阵，求出原来的数组

思路：其实直接|每一行就是每个i的值了嘛

#include<bits\stdc++.h>
using namespace std;

int mp[105][105];
int a[105];
int main()
{
int n;
scanf("%d",&n);
for (int i = 1;i<=n;i++)
{
for (int j = 1;j<=n;j++)
{
scanf("%d",&mp[i][j]);
if(i!=j)
a[i]|=mp[i][j];
}
}
for (int i = 1;i<=n;i++)
printf("%d ",a[i]);
printf("\n");
}

Description

Recently Polycarpus has learned the "bitwise AND" operation (which is also called "AND") of non-negative integers. Now he wants to demonstrate the school IT teacher his superb manipulation with the learned operation.

For that Polycarpus came to school a little earlier and wrote on the board a sequence of non-negative integers a1, a2, ..., an.
He also wrote a square matrix b of size n × n. The element of matrix b that
sits in the i-th row in the j-th column (we'll denote it as bij)
equals:

the "bitwise AND" of numbers ai and aj (that
is, bij = ai & aj), if i ≠ j;
-1, if i = j.

Having written out matrix b, Polycarpus got very happy and wiped a off the blackboard. But the thing is, the teacher will want
this sequence to check whether Polycarpus' calculations were correct. Polycarus urgently needs to restore the removed sequence of integers, or else he won't prove that he can count correctly.

Help Polycarpus, given matrix b, restore the sequence of numbers a1, a2, ..., an,
that he has removed from the board. Polycarpus doesn't like large numbers, so any number in the restored sequence mustn't exceed 109.

Input

The first line contains a single integer n(1 ≤ n ≤ 100) — the size of square matrix b.
Next n lines contain matrix b. The i-th of these lines contains n space-separated
integers: the j-th number represents the element of matrix bij. It is guaranteed, that
for all i(1 ≤ i ≤ n)the following condition fulfills: bii =
-1. It is guaranteed that for all i, j(1 ≤ i, j ≤ n; i ≠ j) the following condition
fulfills: 0 ≤ bij ≤ 109, bij = bji.

Output

Print n non-negative integers a1, a2, ..., an(0 ≤ ai ≤ 109) —
the sequence that Polycarpus wiped off the board. Separate the numbers by whitespaces.

It is guaranteed that there is sequence a that satisfies the problem conditions. If there are multiple such sequences, you are allowed to print any of them.

Sample Input

Input

1
-1

Output

0

Input

3
-1 18 0
18 -1 0
00-1

Output

18 18 0

Input

4
-1 128 128 128
128 -1 148 160
128 148 -1 128
128 160128 -1

Output

128 180148 160

Hint

If you do not know what is the "bitwise AND" operation please read: http://en.wikipedia.org/wiki/Bitwise_operation.