# input import sys input = sys.stdin.readline II = lambda : int(input()) MI = lambda : map(int, input().split()) LI = lambda : [int(a) for a in input().split()] SI = lambda : input().rstrip() LLI = lambda n : [[int(a) for a in input().split()] for _ in range(n)] LSI = lambda n : [input().rstrip() for _ in range(n)] MI_1 = lambda : map(lambda x:int(x)-1, input().split()) LI_1 = lambda : [int(a)-1 for a in input().split()] mod = 998244353 inf = 1001001001001001001 ordalp = lambda s : ord(s)-65 if s.isupper() else ord(s)-97 ordallalp = lambda s : ord(s)-39 if s.isupper() else ord(s)-97 yes = lambda : print("Yes") no = lambda : print("No") yn = lambda flag : print("Yes" if flag else "No") prinf = lambda ans : print(ans if ans < 1000001001001001001 else -1) alplow = "abcdefghijklmnopqrstuvwxyz" alpup = "ABCDEFGHIJKLMNOPQRSTUVWXYZ" alpall = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" URDL = {'U':(-1,0), 'R':(0,1), 'D':(1,0), 'L':(0,-1)} DIR_4 = [[-1,0],[0,1],[1,0],[0,-1]] DIR_8 = [[-1,0],[-1,1],[0,1],[1,1],[1,0],[1,-1],[0,-1],[-1,-1]] DIR_BISHOP = [[-1,1],[1,1],[1,-1],[-1,-1]] prime60 = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59] sys.set_int_max_str_digits(0) # sys.setrecursionlimit(10**6) # import pypyjit # pypyjit.set_param('max_unroll_recursion=-1') from collections import defaultdict,deque from heapq import heappop,heappush from bisect import bisect_left,bisect_right DD = defaultdict BSL = bisect_left BSR = bisect_right class DSU: n : int par : list[int] siz : list[int] fix_leader : bool __slots__ = ["n", "par", "siz", "fix_leader"] def __init__(self, n, fix_leader = False): self.n = n self.par = [*range(n)] self.siz = [1] * n self.fix_leader = fix_leader def leader(self, a): while self.par[a] != a: a = self.par[self.par[a]] self.par[a] = self.par[self.par[a]] return a def merge(self, a, b): a = self.leader(a) b = self.leader(b) if a == b: return a if self.fix_leader or self.siz[a] > self.siz[b]: self.siz[a] += self.siz[b] self.par[b] = a return a else: self.siz[b] += self.siz[a] self.par[a] = b return b def same(self, a, b): return self.leader(a) == self.leader(b) def size(self, a): return self.siz[self.leader(a)] def groups(self): res = [[] for i in range(self.n)] for i in range(self.n): res[self.leader(i)].append(i) res2 = [] for i in range(self.n): if len(res[i]) > 0: res2.append(res[i]) return res2 """ 生徒 i を i におくりたい サイクルに分解する p は素数 c : odd のときは (2p, c) がごそなので ok c : even のときは c, c で merge or あまりは sqrt(n) 以下 これは 1 人殺す (k + 1) * k <= n sqrt(n) ? sqrt(n) + 1 になりそうなんだが? """ def solve(): n, p = MI() a = LI_1() uf = DSU(n) for i in range(n): uf.merge(i, a[i]) ok = [[] for i in range(n + 1)] for g in uf.groups(): s = [] x = g[0] for i in range(len(g)): s.append(x) x = a[x] ok[len(g)].append(s[::-1]) # print(ok) tmp2 = [] ans = [0] * n for l in range(1, n + 1): if l % 2 == 1: c = (2 * p) % l # c 個先が l for g in ok[l]: tmp = [0] * l idx = 0 for x in g: tmp[idx] = x idx = (idx + c) % l # print(tmp, g) for i in range(l): ans[tmp[i]] = tmp[(i+1)%l] else: c = (2 * p) % (2 * l) while len(ok[l]) >= 2: g1 = ok[l].pop() g2 = ok[l].pop() tmp = [0] * (2 * l) idx = 0 for x in g1: tmp[idx] = x idx = (idx + c) % (2 * l) idx = 1 for x in g2: tmp[idx] = x idx = (idx + c) % (2 * l) for i in range(2 * l): ans[tmp[i]] = tmp[(i+1)%(2*l)] # のこっているとき # 順列じゃなくていいの忘れていた if ok[l]: c = (2 * p) % (l - 1) tmp = [0] * (l - 1) idx = 0 g = ok[l][0] for x in g[:-1]: tmp[idx] = x idx = (idx + c) % (l - 1) for i in range(l-1): ans[tmp[i]] = tmp[(i+1)%(l-1)] idx = (idx - c + 1) % (l - 1) ans[g[-1]] = tmp[idx] ans = [x+1 for x in ans] print(*ans) t = II() for i in range(t): solve()