import io import sys from collections import defaultdict, deque, Counter from itertools import permutations, combinations, accumulate from heapq import heappush, heappop from bisect import bisect_right, bisect_left from math import gcd import math _INPUT = """\ 6 2 4 6 0 1 4 2 5 3 3 1 3 1000000000 0 0 1000000000 0 1000000000 1000000000 """ def input(): return sys.stdin.readline()[:-1] def solve(test): T=int(input()) for _ in range(T): N,L=map(int, input().split()) A=[list(map(int, input().split())) for _ in range(N)] B=max(1,int(L/int(N**.5)+1)) ans=[] A=sorted([(A[i][0]//B,A[i][1]//B if A[i][0]//B%2==0 else -A[i][1]//B,A[i][0],A[i][1]) for i in range(N)],reverse=True) for i in range((L-1)//B+2): if i%2==0: for j in range((L-1)//B+1): ans.append((i*B,j*B)) while A and A[-1][0]==i and A[-1][1]==j: ans.append((A[-1][2],A[-1][3])) A.pop() else: for j in reversed(range((L-1)//B+1)): ans.append((i*B,j*B)) while A and A[-1][0]==i and A[-1][1]==-j: ans.append((A[-1][2],A[-1][3])) A.pop() print(len(ans)) for i in range(len(ans)): print(*ans[i]) def random_input(): from random import randint,shuffle N=randint(1,10) M=randint(1,N) A=list(range(1,M+1))+[randint(1,M) for _ in range(N-M)] shuffle(A) return (" ".join(map(str, [N,M]))+"\n"+" ".join(map(str, A))+"\n")*3 def simple_solve(): return [] def main(test): if test==0: solve(0) elif test==1: sys.stdin = io.StringIO(_INPUT) case_no=int(input()) for _ in range(case_no): solve(0) else: for i in range(1000): sys.stdin = io.StringIO(random_input()) x=solve(1) y=simple_solve() if x!=y: print(i,x,y) print(*[line for line in sys.stdin],sep='') break #0:提出用、1:与えられたテスト用、2:ストレステスト用 main(0)