腾讯第二题，数组或语法错误

腾讯第二题，数组越界或者语法错误，本地IDE牛客测试上都能跑，问题出自哪里

import math
t,k = [int(i) for i in input().split()]
for i in range(t):
    a,b = [int(j) for j in input().split()]
    total_num = 0
    for num in range(a,b+1):
        range_num = 1
        if num//k<1:
            total_num+=range_num
        elif num//k>=1:
            p = num//k
            for q in range(1,p+1):
                #print('ss')
                num_q = num-q*k+q
                num_a = math.factorial(num_q)
                num_b = math.factorial(q)
                num_c = math.factorial(num_q-q)
                tt = num_a/num_b/num_c
                range_num+=tt
            total_num+=range_num
    print((int(total_num))%(10**9+7))