Problem p02782 (python)

Fixed submission:
#input
r_1, c_1, r_2, c_2 = map(int, input().split())

#output
mod = 10**9 + 7

n_ = 2*10**6 + 1
fun = [1]*(n_+1)
for i in range(1,n_+1):
    fun[i] = fun[i-1]*i%mod
rev = [1]*(n_+1)
rev[n_] = pow(fun[n_],mod-2,mod)
for i in range(n_-1,0,-1):
    rev[i] = rev[i+1]*(i+1)%mod
def cmb(n,r):
    if n <= 0 or r < 0 or r > n: return 0
    return fun[n]*rev[r]%mod*rev[n-r]%mod

answer = 0
for j in range(c_1, c_2+1):
    answer += cmb(r_2+j+1, j+1) % mod - cmb(r_1+j, j+1) % mod

print(answer % mod)

Buggy submission (verdict: Runtime Error):
#input
r_1, c_1, r_2, c_2 = map(int, input().split())

#output
mod = 10**9 + 7

n_ = 10**10 + 3
fun = [1]*(n_+1)
for i in range(1,n_+1):
    fun[i] = fun[i-1]*i%mod
rev = [1]*(n_+1)
rev[n_] = pow(fun[n_],mod-2,mod)
for i in range(n_-1,0,-1):
    rev[i] = rev[i+1]*(i+1)%mod
def cmb(n,r):
    if n <= 0 or r < 0 or r > n: return 0
    return fun[n]*rev[r]%mod*rev[n-r]%mod

answer = 0
for j in range(c_1, c_2+1):
    answer += cmb(r_2+j+1, j+1) % mod - cmb(r_1+j, j+1) % mod

print(answer % mod)

Buggy submission (verdict: Runtime Error):
#input
r_1, c_1, r_2, c_2 = map(int, input().split())

#output
mod = 10**9 + 7

n_ = 10**6 + 3
fun = [1]*(n_+1)
for i in range(1,n_+1):
    fun[i] = fun[i-1]*i%mod
rev = [1]*(n_+1)
rev[n_] = pow(fun[n_],mod-2,mod)
for i in range(n_-1,0,-1):
    rev[i] = rev[i+1]*(i+1)%mod
def cmb(n,r):
    if n <= 0 or r < 0 or r > n: return 0
    return fun[n]*rev[r]%mod*rev[n-r]%mod

answer = 0
for j in range(c_1, c_2+1):
    answer += cmb(r_2+j+1, j+1) % mod - cmb(r_1+j, j+1) % mod

print(answer % mod)

Buggy submission (verdict: Runtime Error):
#input
r_1, c_1, r_2, c_2 = map(int, input().split())

#output
mod = 10**9 + 7

n_ = 10**5 + 3
fun = [1]*(n_+1)
for i in range(1,n_+1):
    fun[i] = fun[i-1]*i%mod
rev = [1]*(n_+1)
rev[n_] = pow(fun[n_],mod-2,mod)
for i in range(n_-1,0,-1):
    rev[i] = rev[i+1]*(i+1)%mod
def cmb(n,r):
    if n <= 0 or r < 0 or r > n: return 0
    return fun[n]*rev[r]%mod*rev[n-r]%mod

answer = 0
for j in range(c_1, c_2+1):
    answer += cmb(r_2+j+1, j+1) % mod - cmb(r_1+j, j+1) % mod

print(answer % mod)

Buggy submission (verdict: Runtime Error):
#input
r_1, c_1, r_2, c_2 = map(int, input().split())

#output
mod = 10**9 + 7

n_ = 10**6 + 3
fun = [1]*(n_+1)
for i in range(1,n_+1):
    fun[i] = fun[i-1]*i%mod
rev = [1]*(n_+1)
rev[n_] = pow(fun[n_],mod-2,mod)
for i in range(n_-1,0,-1):
    rev[i] = rev[i+1]*(i+1)%mod
def cmb(n,r):
    if n <= 0 or r < 0 or r > n: return 0
    return fun[n]*rev[r]%mod*rev[n-r]%mod

answer = 0
for i in range(r_1, r_2+1):
    for j in range(c_1, c_2+1):
        answer += cmb(i+j, j) % mod
print(answer % mod)

Buggy submission (verdict: Runtime Error):
#input
r_1, c_1, r_2, c_2 = map(int, input().split())

#output
mod = 10**9 + 7

n_ = 10**6 + 3
fun = [1]*(n_+1)
for i in range(1,n_+1):
    fun[i] = fun[i-1]*i%mod
rev = [1]*(n_+1)
rev[n_] = pow(fun[n_],mod-2,mod)
for i in range(n_-1,0,-1):
    rev[i] = rev[i+1]*(i+1)%mod
def cmb(n,r):
    if n <= 0 or r < 0 or r > n: return 0
    return fun[n]*rev[r]%mod*rev[n-r]%mod

answer = 0
for i in range(r_1, r_2+1):
    for j in range(c_1, c_2+1):
        answer += cmb(i+j, j) % mod
print(answer % mod)

Buggy submission (verdict: Runtime Error):
#input
r_1, c_1, r_2, c_2 = map(int, input().split())

#output
mod = 10**9 + 7

n_ = 10**5 + 3
fun = [1]*(n_+1)
for i in range(1,n_+1):
    fun[i] = fun[i-1]*i%mod
rev = [1]*(n_+1)
rev[n_] = pow(fun[n_],mod-2,mod)
for i in range(n_-1,0,-1):
    rev[i] = rev[i+1]*(i+1)%mod
def cmb(n,r):
    if n <= 0 or r < 0 or r > n: return 0
    return fun[n]*rev[r]%mod*rev[n-r]%mod

answer = 0
for i in range(r_1, r_2+1):
    for j in range(c_1, c_2+1):
        answer += cmb(i+j, j) % mod
print(answer % mod)