#!/usr/bin/env python

#t = int(input().strip())
#indat = [int(x) for x in input().split()]
t = 120
indat = [12, -1, 2, -1212, 1212]


points = {(0, 0, 0):1}
moves = [(1, 0, 0), (0, 1, 0), (0, 0, 1)]
moves = set(moves)

for i in range(t):
    tmp = {}
    for point, times in points.items():
        for move in moves:
            a = tuple([x + y for (x, y) in zip(point, move)])
            if tmp.get(a) == None:
                tmp[a] = times
            else:
                tmp[a] += times
            a = tuple([x - y for (x, y) in zip(point, move)])
            if tmp.get(a) == None:
                tmp[a] = times
            else:
                tmp[a] += times
    points = tmp

p = 0
for point, times in points.items():
    eqs = sum([a * x for (a, x) in zip(indat[:3], point)])
    if eqs >= indat[3] and eqs <= indat[4]:
        p += times

print(p % (10**9 + 7))