Buggy python submission (verdict: Time Limit Exceeded):
n, a, b, c, d = map(int, raw_input().split())
MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rcd = range(c, d+1)

dp = [0]*(n+1)
dp[0] = 1

for i in xrange(1, n+1):
    v = fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(v, MOD-2, MOD)
Y = [None]*(d+1-c)
for g in xrange(a, min(n/c, b)+1):
    p = c*g
    y = frev[g]
    Y[:min(d,n/g)+1-c] = (pow(y, j, MOD)*frev[j] for j in xrange(c, min(d, n/g)+1) if p<=i)
    dp[:c*g-1:-1] = (dp[i] + frev[n-i]*sum(dp[i-g*j] * fact[n-i+g*j] * Y[j-c] for j in xrange(c, min(d, i/g)+1)) % MOD for i in xrange(n, p-1, -1))
print dp[n]%MOD

Fixed submission:
n, a, b, c, d = map(int, raw_input().split())
dp = [0]*(n+1)
dp[0] = 1

MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)

for i in xrange(1, n+1):
    fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(fact[i], MOD-2, MOD)
for g in xrange(a, b+1):
    y = frev[g]
    for i in rn:
        x = frev[n-i]
        dp[i] = (dp[i] + sum(dp[i-g*j] * fact[n-i+g*j] * x * pow(y, j, MOD) * frev[j] for j in xrange(c, min(d, i/g)+1))) % MOD
print dp[n]

Buggy python submission (verdict: Time Limit Exceeded):
n, a, b, c, d = map(int, raw_input().split())
MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)
rcd = range(c, d+1)

dp = [0]*(n+1)
dp[0] = 1

for i in xrange(1, n+1):
    v = fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(v, MOD-2, MOD)
Y = [None]*(d+1-c)
for g in xrange(a, b+1):
    y = frev[g]
    Y[:min(d,n/g)+1-c] = (pow(y, j, MOD)*frev[j] for j in xrange(c, min(d, n/g)+1))
    dp[::-1] = (dp[i] + frev[n-i]*sum(dp[i-g*j] * fact[n-i+g*j] * Y[j-c] for j in xrange(c, min(d, i/g)+1)) % MOD for i in rn)
print dp[n]%MOD

Fixed submission:
n, a, b, c, d = map(int, raw_input().split())
dp = [0]*(n+1)
dp[0] = 1

MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)

for i in xrange(1, n+1):
    fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(fact[i], MOD-2, MOD)
for g in xrange(a, b+1):
    y = frev[g]
    for i in rn:
        x = frev[n-i]
        dp[i] = (dp[i] + sum(dp[i-g*j] * fact[n-i+g*j] * x * pow(y, j, MOD) * frev[j] for j in xrange(c, min(d, i/g)+1))) % MOD
print dp[n]

Buggy python submission (verdict: Time Limit Exceeded):
n, a, b, c, d = map(int, raw_input().split())
MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)
rcd = range(c, d+1)

dp = [0]*(n+1)
dp[0] = 1
reverse = dp.reverse

for i in xrange(1, n+1):
    v = fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(v, MOD-2, MOD)
Y = [None]*(d+1-c)
for g in xrange(a, b+1):
    y = frev[g]
    Y[:] = (pow(y, j, MOD)*frev[j] for j in rcd)
    dp[:] = (dp[i] + frev[n-i]*sum(dp[i-g*j] * fact[n-i+g*j] * Y[j-c] % MOD for j in xrange(c, min(d, i/g)+1)) for i in rn)
    reverse()
print dp[n]%MOD

Fixed submission:
n, a, b, c, d = map(int, raw_input().split())
dp = [0]*(n+1)
dp[0] = 1

MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)

for i in xrange(1, n+1):
    fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(fact[i], MOD-2, MOD)
for g in xrange(a, b+1):
    y = frev[g]
    for i in rn:
        x = frev[n-i]
        dp[i] = (dp[i] + sum(dp[i-g*j] * fact[n-i+g*j] * x * pow(y, j, MOD) * frev[j] for j in xrange(c, min(d, i/g)+1))) % MOD
print dp[n]

Buggy python submission (verdict: Time Limit Exceeded):
n, a, b, c, d = map(int, raw_input().split())
dp = [0]*(n+1)
dp[0] = 1

MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)

for i in xrange(1, n+1):
    fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(fact[i], MOD-2, MOD)
for g in xrange(a, b+1):
    y = frev[g]
    Y = [pow(y, j, MOD)*frev[j] for j in xrange(c, d+1)]
    for i in rn:
        dp[i] = (dp[i] + frev[n-i]*sum(dp[i-g*j] * fact[n-i+g*j] * Y[j-c] % MOD for j in xrange(c, min(d, i/g)+1)) % MOD)
print dp[n]%MOD

Fixed submission:
n, a, b, c, d = map(int, raw_input().split())
dp = [0]*(n+1)
dp[0] = 1

MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)

for i in xrange(1, n+1):
    fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(fact[i], MOD-2, MOD)
for g in xrange(a, b+1):
    y = frev[g]
    for i in rn:
        x = frev[n-i]
        dp[i] = (dp[i] + sum(dp[i-g*j] * fact[n-i+g*j] * x * pow(y, j, MOD) * frev[j] for j in xrange(c, min(d, i/g)+1))) % MOD
print dp[n]

Buggy python submission (verdict: Time Limit Exceeded):
n, a, b, c, d = map(int, raw_input().split())
dp = [0]*(n+1)
dp[0] = 1

MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)

for i in xrange(1, n+1):
    fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(fact[i], MOD-2, MOD)
for g in xrange(a, b+1):
    y = frev[g]
    for i in rn:
        x = frev[n-i]
        dp[i] = (dp[i] + sum(dp[i-g*j] * fact[n-i+g*j] * x * pow(y, j, MOD) * frev[j] for j in xrange(c, min(d, i/g)+1))) % MOD
print dp[n]

Fixed submission:
n, a, b, c, d = map(int, raw_input().split())
dp = [0]*(n+1)
dp[0] = 1

MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)

for i in xrange(1, n+1):
    fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(fact[i], MOD-2, MOD)
for g in xrange(a, b+1):
    y = frev[g]
    for i in rn:
        x = frev[n-i]
        dp[i] = (dp[i] + sum(dp[i-g*j] * fact[n-i+g*j] * x * pow(y, j, MOD) * frev[j] for j in xrange(c, min(d, i/g)+1))) % MOD
print dp[n]

Buggy python submission (verdict: Time Limit Exceeded):
n, a, b, c, d = map(int, raw_input().split())
MOD = 10**9+7
fact = [1]*(n+1)
memo = {}
import sys
sys.setrecursionlimit(100000)
def dfs(rest, group):
    if (rest, group) in memo:
        return memo[rest, group]
    if rest == 0:
        return 1
    if group == a-1:
        return 0
    res = dfs(rest, group-1)
    for k in xrange(c, min(rest/group, d)+1):
        r = dfs(rest-k*group, group-1)
        r = (r * fact[rest]) % MOD
        r = (r * pow(pow(fact[group], MOD-2, MOD), k, MOD)) % MOD
        r = (r * pow(fact[rest-k*group], MOD-2, MOD)) % MOD
        r = (r * pow(fact[k], MOD-2, MOD)) % MOD
        res = (res + r) % MOD
    memo[rest, group] = res
    return res
for i in xrange(1, n+1):
    fact[i] = (fact[i-1] * i) % MOD
print dfs(n, b)


Fixed submission:
n, a, b, c, d = map(int, raw_input().split())
dp = [0]*(n+1)
dp[0] = 1

MOD = 10**9+7
fact = [1]*(n+1)
frev = [1]*(n+1)

rn = range(n, -1, -1)

for i in xrange(1, n+1):
    fact[i] = (fact[i-1] * i) % MOD
    frev[i] = pow(fact[i], MOD-2, MOD)
for g in xrange(a, b+1):
    y = frev[g]
    for i in rn:
        x = frev[n-i]
        dp[i] = (dp[i] + sum(dp[i-g*j] * fact[n-i+g*j] * x * pow(y, j, MOD) * frev[j] for j in xrange(c, min(d, i/g)+1))) % MOD
print dp[n]