Buggy python submission (verdict: Time Limit Exceeded):
#0<=i<r,0<=j<cで総和求めて引く
#chooseの+2でよい
mod = 10**9+7
def chs(a,b):
    a+=1;b+=1
    a+=b
    res = 1
    for i in range(a,a-b,-1):
        res *= i
        rev = pow(a-i+1,mod-2,mod)
        res *= rev
        res%=mod
    
    return res


r1,c1,r2,c2 = map(int, input().split( ))
r1 -=1;c1-=1
#print(chs(r2,c2),chs(r1,c2),chs(r2,c1),chs(r1,c1))
ans = chs(r2,c2)-chs(r1,c2)-chs(r2,c1)+chs(r1,c1)
ans%=mod

print(ans)

Fixed submission:
#0<=i<r,0<=j<cで総和求めて引く
#chooseの+2でよい
mod = 10**9+7

def chs(a,b):
    a+=1;b+=1
    a+=b
    res = 1
    for i in range(a,a-b,-1):
        res *= i 
        res%=mod
    for i in range(1,b+1):
        res *= rev[i]
        #print(rev[i],pow(i,mod-2,mod))
        res %=mod 
    return res


r1,c1,r2,c2 = map(int, input().split( ))
r1 -=1;c1-=1
if c2>r2:
    r2,c2 = c2,r2
    r1,c1= c1,r1
rev = [pow(i,mod-2,mod) for i in range(c2+5)]###
ans = chs(r2,c2)-chs(r1,c2)-chs(r2,c1)+chs(r1,c1)
ans%=mod
#print(chs(r2,c2),chs(r1,c2),chs(r2,c1),chs(r1,c1))

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#0<=i<r,0<=j<cで総和求めて引く
#chooseの+2でよい
mod = 10**9+7
def chs(a,b):
    a+=1;b+=1
    a+=b
    res = 1
    for i in range(a,a-b,-1):###
        res *= i
        rev = pow(a-i+1,mod-2,mod)
        res *= rev
        res%=mod
    
    return res


r1,c1,r2,c2 = map(int, input().split( ))
r1 -=1;c1-=1
#print(chs(r2,c2),chs(r1,c2),chs(r2,c1),chs(r1,c1))
ans = chs(r2,c2)-chs(r1,c2)-chs(r2,c1)+chs(r1,c1)
ans%=mod

print(ans)

Fixed submission:
#0<=i<r,0<=j<cで総和求めて引く
#chooseの+2でよい
mod = 10**9+7

def chs(a,b):
    a+=1;b+=1
    a+=b
    res = 1
    for i in range(a,a-b,-1):
        res *= i 
        res%=mod
    for i in range(1,b+1):
        res *= rev[i]
        #print(rev[i],pow(i,mod-2,mod))
        res %=mod 
    return res


r1,c1,r2,c2 = map(int, input().split( ))
r1 -=1;c1-=1
if c2>r2:
    r2,c2 = c2,r2
    r1,c1= c1,r1
rev = [pow(i,mod-2,mod) for i in range(c2+5)]###
ans = chs(r2,c2)-chs(r1,c2)-chs(r2,c1)+chs(r1,c1)
ans%=mod
#print(chs(r2,c2),chs(r1,c2),chs(r2,c1),chs(r1,c1))

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#0<=i<r,0<=j<cで総和求めて引く
#chooseの+2でよい
#10**6なのでpythonにしてみる
mod = 10**9+7
def chs(a,b):
    a+=1;b+=1
    a+=b
    res = 1
    for i in range(a,a-b,-1):
        res *= i 
        res%=mod
    for i in range(1,b+1):
        rev = pow(i,mod-2,mod)
        res *= rev 
        res %=mod 
    return res


r1,c1,r2,c2 = map(int, input().split( ))
r1 -=1;c1-=1
#print(chs(r2,c2),chs(r1,c2),chs(r2,c1),chs(r1,c1))
ans = chs(r2,c2)-chs(r1,c2)-chs(r2,c1)+chs(r1,c1)
ans%=mod

print(ans)

Fixed submission:
#0<=i<r,0<=j<cで総和求めて引く
#chooseの+2でよい
mod = 10**9+7

def chs(a,b):
    a+=1;b+=1
    a+=b
    res = 1
    for i in range(a,a-b,-1):
        res *= i 
        res%=mod
    for i in range(1,b+1):
        res *= rev[i]
        #print(rev[i],pow(i,mod-2,mod))
        res %=mod 
    return res


r1,c1,r2,c2 = map(int, input().split( ))
r1 -=1;c1-=1
if c2>r2:
    r2,c2 = c2,r2
    r1,c1= c1,r1
rev = [pow(i,mod-2,mod) for i in range(c2+5)]###
ans = chs(r2,c2)-chs(r1,c2)-chs(r2,c1)+chs(r1,c1)
ans%=mod
#print(chs(r2,c2),chs(r1,c2),chs(r2,c1),chs(r1,c1))

print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
#0<=i<r,0<=j<cで総和求めて引く
#chooseの+1でよい
mod = 10**9+7
def chs(a,b):
    a+=1;b+=1##+1?
    a+=b
    res = 1
    for i in range(a,a-b,-1):
        res *= i 
        res%=mod
    for i in range(1,b+1):
        rev = pow(i,mod-2,mod)
        res *= rev 
        res %=mod 
    return res


r1,c1,r2,c2 = map(int, input().split( ))
r1 -=1;c1-=1
#print(chs(r2,c2),chs(r1,c2),chs(r2,c1),chs(r1,c1))
ans = chs(r2,c2)-chs(r1,c2)-chs(r2,c1)+chs(r1,c1)
ans%=mod

print(ans)

Fixed submission:
#0<=i<r,0<=j<cで総和求めて引く
#chooseの+2でよい
mod = 10**9+7

def chs(a,b):
    a+=1;b+=1
    a+=b
    res = 1
    for i in range(a,a-b,-1):
        res *= i 
        res%=mod
    for i in range(1,b+1):
        res *= rev[i]
        #print(rev[i],pow(i,mod-2,mod))
        res %=mod 
    return res


r1,c1,r2,c2 = map(int, input().split( ))
r1 -=1;c1-=1
if c2>r2:
    r2,c2 = c2,r2
    r1,c1= c1,r1
rev = [pow(i,mod-2,mod) for i in range(c2+5)]###
ans = chs(r2,c2)-chs(r1,c2)-chs(r2,c1)+chs(r1,c1)
ans%=mod
#print(chs(r2,c2),chs(r1,c2),chs(r2,c1),chs(r1,c1))

print(ans)