import sys
input = sys.stdin.readline

N,A,B=map(int,input().split())

LIST=[list(map(int,input().split())) for i in range(N)]

DP=[[[0]*N for j in range(N)] for i in range(1<<N)]
ANS=0
for i in range(N):
    DP[1<<i][i][i]=1

for i in range(1<<N):
    for j in range(N):

        X1,Y1,K1=LIST[j]
        
        for k in range(N):
            ko=i.bit_count()

            X2,Y2,K2=LIST[k]

            for l in range(N):
                if i & (1<<l) != 0:
                    X3,Y3,K3=LIST[l]

                    if ko==1:
                        if A<=abs(X2-X3)+abs(Y2-Y3):
                            DP[i|(1<<l)][k][l]=DP[i][j][k]+1

                    if ko>=1:
                        if B<=abs(K2-K3):
                            DP[i|(1<<k)][k][l]=DP[i][j][k]+1

                    if ko>=2:
                        if A<=abs(X2-X3)+abs(Y2-Y3) + abs(X1-X3)+abs(Y1-Y3):
                            DP[i|(1<<k)][k][l]=DP[i][j][k]+1
                        
for i in range(1<<N):
    for j in range(N):
        for k in range(N):
            ANS=max(ANS,DP[i][j][k])

print(ANS)