Currently Tiny is learning Computational Geometry. When trying to solve a problem called "The Closest Pair Of Points In The Plane", he found that a code which gave a wrong time complexity got Accepted instead of Time Limit Exceeded.

The problem is the follows. Given *n* points in the plane, find a pair of points between which the distance is minimized. Distance between (*x*<sub class="lower-index">1</sub>, *y*<sub class="lower-index">1</sub>) and (*x*<sub class="lower-index">2</sub>, *y*<sub class="lower-index">2</sub>) is <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a0c6a684203590998776587e7f02c93ba5771038.png" style="max-width: 100.0%;max-height: 100.0%;"/>.

The pseudo code of the unexpected code is as follows:

Here, *tot* can be regarded as the running time of the code. Due to the fact that a computer can only run a limited number of operations per second, *tot* should not be more than *k* in order not to get Time Limit Exceeded.

You are a great hacker. Would you please help Tiny generate a test data and let the code get Time Limit Exceeded?
A single line which contains two space-separated integers *n* and *k* (2 ≤ *n* ≤ 2000, 1 ≤ *k* ≤ 10<sup class="upper-index">9</sup>).
from random import randint
from math import sqrt
d = [[0, 0], [0, 1], [0, 2], [0, 3], [0, 4], [0, 5], [0, 6], [0, 7], [0, 8], [0, 9], [0, 10], [0, 11], [0, 12], [0, 13], [0, 14], [0, 15], [0, 16], [0, 17], [0, 18], [0, 19], [0, 20], [0, 21], [0, 22], [0, 23], [0, 24], [0, 25], [0, 26], [0, 27], [0, 28], [0, 29], [0, 30], [0, 31], [0, 32], [0, 33], [0, 34], [0, 35], [0, 36], [0, 37], [0, 38], [0, 39], [0, 40], [0, 41], [0, 42], [0, 43], [0, 44], [1, 0], [1, 1], [1, 2], [1, 3], [1, 4], [1, 5], [1, 6], [1, 7], [1, 8], [1, 9], [1, 10], [1, 11], [1, 12], [1, 13], [1, 14], [1, 15], [1, 16], [1, 17], [1, 18], [1, 19], [1, 20], [1, 21], [1, 22], [1, 23], [1, 24], [1, 25], [1, 26], [1, 27], [1, 28], [1, 29], [1, 30], [1, 31], [1, 32], [1, 33], [1, 34], [1, 35], [1, 36], [1, 37], [1, 38], [1, 39], [1, 40], [1, 41], [1, 42], [1, 43], [1, 44], [2, 0], [2, 1], [2, 2], [2, 3], [2, 4], [2, 5], [2, 6], [2, 7], [2, 8], [2, 9], [2, 10], [2, 11], [2, 12], [2, 13], [2, 14], [2, 15], [2, 16], [2, 17], [2, 18], [2, 19], [2, 20], [2, 21], [2, 22], [2, 23], 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def dist(a,b):
    return int(sqrt((a[0]-b[0])**2 + (a[1]-b[1])**2))
def slv(a):
    d = 100000.0
    tot = 0
    a.sort()
    for i in range(n-1):
        for j in range(i+1,n-1):
            tot+=1
            if a[j][0] - a[i][0] >= d: break
            d = min(d,dist(a[i],a[j]))  
    return tot
n,k = map(int,input().split())
fact = [1]
for i in range(1,n+1):
    fact.append(fact[-1]*i)

def solve(g):
    return fact[g]/(2*fact[g-2])

if solve(n) < k:
    print('no solution')
else:
    for i in range(n):
        print(*d[i])