先把原数组从大到小排序,然后依次往两个答案数组 $p_1$ 和 $p_2$ 中填数,两个数组是等价的,不妨优先在 $p_1$ 中填,如果一个数字在两个数组中都已经用过了,说明这个数字出现了三次,可以判定无解。填完一遍之后,再从大到小往两个 $p$ 数组中从前往后填入各自缺少的数字,如果填入的数字大于原数组,那么也无解。
// Date: Sun Dec 10 15:00:10 2023
#include <climits>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>
using namespace std;
const int INF = 0x3f3f3f3f, MOD = 1e9 + 7;
const double eps = 1e-8;
const int dir[8][2] = {
{0, 1}, {0, -1}, {1, 0}, {-1, 0}, {1, 1}, {1, -1}, {-1, 1}, {-1, -1},
};
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> VI;
typedef pair<int, int> PII;
const ull Pr = 131;
#define For(i, a, b) for (int i = int(a); i < int(b); ++i)
#define Rof(i, a, b) for (int i = int(b) - 1; i >= int(a); --i)
#define For1(i, a, b) for (int i = int(a); i <= int(b); ++i)
#define Rof1(i, a, b) for (int i = int(b); i >= int(a); --i)
#define ForE(i, j) for (int i = h[j]; i != -1; i = ne[i])
#define f1 first
#define f2 second
#define pb push_back
#define has(a, x) (a.find(x) != a.end())
#define nonempty(a) (!a.empty())
#define all(a) (a).begin(), (a).end()
#define SZ(a) int((a).size())
#ifdef _DEBUG
#define debug1(x) cout << #x " = " << x << endl;
#define debug2(x, y) cout << #x " = " << x << " " #y " = " << y << endl;
#define debug3(x, y, z) \
cout << #x " = " << x << " " #y " = " << y << " " #z " = " << z << endl;
#else
#define debug1
#define debug2
#define debug3
#endif
const int N = 200010;
struct point {
int v, p1, p2, idx;
};
int t, n;
point a[N];
bool vis[2][N];
int main(void) {
#ifdef _DEBUG
freopen("1768c.in", "r", stdin);
#endif
std::ios::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin >> t;
while (t--) {
cin >> n;
For1(i, 1, n) {
cin >> a[i].v;
a[i].idx = i;
a[i].p1 = a[i].p2 = 0;
}
sort(a + 1, a + n + 1, [&](const point &x, const point &y) {
if (x.v > y.v)
return true;
else if (x.v == y.v)
return x.idx < y.idx;
return false;
});
memset(vis, false, sizeof vis);
bool flag = true;
For1(i, 1, n) {
int x = a[i].v;
if (!vis[0][x]) {
vis[0][x] = true;
a[i].p1 = x;
} else if (!vis[1][x]) {
vis[1][x] = true;
a[i].p2 = x;
} else {
flag = false;
break;
}
}
VI rem1;
Rof1(i, 1, n) {
if (!vis[0][i]) {
rem1.pb(i);
}
}
if (nonempty(rem1)) {
int idx = 0;
For1(i, 1, n) {
if (!a[i].p1) {
if (rem1[idx] <= a[i].v) {
a[i].p1 = rem1[idx++];
} else {
flag = false;
break;
}
}
}
}
VI rem2;
Rof1(i, 1, n) {
if (!vis[1][i]) {
rem2.pb(i);
}
}
if (nonempty(rem2)) {
int idx = 0;
For1(i, 1, n) {
if (!a[i].p2) {
if (rem2[idx] <= a[i].v) {
a[i].p2 = rem2[idx++];
} else {
flag = false;
break;
}
}
}
}
if (flag) {
cout << "YES\n";
sort(a + 1, a + n + 1,
[&](const point &x, const point &y) { return x.idx < y.idx; });
For1(i, 1, n) { cout << a[i].p1 << ' '; }
cout << '\n';
For1(i, 1, n) { cout << a[i].p2 << ' '; }
cout << '\n';
} else {
cout << "NO\n";
}
}
return 0;
}