Codeforce-Ozon Tech Challenge 2020-A. Kuroni and the Gifts

the i-th necklace has a brightness ai, where all the ai are pairwise distinct (i.e. all ai are different),

the i-th bracelet has a brightness bi, where all the bi are pairwise distinct (i.e. all bi are different).

Kuroni wants to give exactly one necklace and exactly one bracelet to each of his daughters. To make sure that all of them look unique, the total brightnesses of the gifts given to each daughter should be pairwise distinct. Formally, if the i-th daughter receives a necklace with brightness xi and a bracelet with brightness yi, then the sums xi+yi should be pairwise distinct. Help Kuroni to distribute the gifts.

For example, if the brightnesses are a=[1,7,5] and b=[6,1,2], then we may distribute the gifts as follows:

Give the third necklace and the first bracelet to the first daughter, for a total brightness of a3+b1=11.

Give the first necklace and the third bracelet to the second daughter, for a total brightness of a1+b3=3.

Give the second necklace and the second bracelet to the third daughter, for a total brightness of a2+b2=8.

Here is an example of an invalid distribution:

Give the first necklace and the first bracelet to the first daughter, for a total brightness of a1+b1=7.

Give the second necklace and the second bracelet to the second daughter, for a total brightness of a2+b2=8.

Give the third necklace and the third bracelet to the third daughter, for a total brightness of a3+b3=7.

This distribution is invalid, as the total brightnesses of the gifts received by the first and the third daughter are the same. Don’t make them this upset!

Input

The input consists of multiple test cases. The first line contains an integer t (1≤t≤100) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer n (1≤n≤100) — the number of daughters, necklaces and bracelets.

The second line of each test case contains n distinct integers a1,a2,…,an (1≤ai≤1000) — the brightnesses of the necklaces.

The third line of each test case contains n distinct integers b1,b2,…,bn (1≤bi≤1000) — the brightnesses of the bracelets.

Output

For each test case, print a line containing n integers x1,x2,…,xn, representing that the i-th daughter receives a necklace with brightness xi. In the next line print n integers y1,y2,…,yn, representing that the i-th daughter receives a bracelet with brightness yi.

The sums x1+y1,x2+y2,…,xn+yn should all be distinct. The numbers x1,…,xn should be equal to the numbers a1,…,an in some order, and the numbers y1,…,yn should be equal to the numbers b1,…,bn in some order.

It can be shown that an answer always exists. If there are multiple possible answers, you may print any of them.

Example

inputCopy

2

3

1 8 5

8 4 5

3

1 7 5

6 1 2

outputCopy

1 8 5

8 4 5

5 1 7

6 2 1

Note

In the first test case, it is enough to give the i-th necklace and the i-th bracelet to the i-th daughter. The corresponding sums are 1+8=9, 8+4=12, and 5+5=10.

The second test case is described in the statement.

使每个a+b不同，因为每个a不同，b同所以不会有，ai+bi=aj+bj。只有ai<aj且bi>bj或者反过来，显然

#include <bits/stdc++.h>
using namespace std;
template <typename t>
void read(t &x)
{
    char ch = getchar();
    x = 0;
    t f = 1;
    while (ch < '0' || ch > '9')
        f = (ch == '-' ? -1 : f), ch = getchar();
    while (ch >= '0' && ch <= '9')
        x = x * 10 + ch - '0', ch = getchar();
    x *= f;
}

#define wi(n) printf("%d ", n)
#define wl(n) printf("%lld ", n)
#define rep(m, n, i) for (int i = m; i < n; ++i)
#define rrep(m, n, i) for (int i = m; i > n; --i)
#define P puts(" ")
typedef long long ll;
#define MOD 1000000007
#define mp(a, b) make_pair(a, b)
#define N 10005
#define fil(a, n) rep(0, n, i) read(a[i])
//---------------https://lunatic.blog.csdn.net/-------------------//
int a[N], b[N];
int main()
{
    int n, t;
    read(t);
    while (t--)
    {
        read(n);
        rep(0, n, i) read(a[i]);
        rep(0, n, i) read(b[i]);
        sort(a, a + n);
        sort(b, b + n);
        rep(0, n, i) wi(a[i]);
        P;
        rep(0, n, i) wi(b[i]);
        P;
    }
}