Created
August 11, 2019 06:43
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md = 1000000007 | |
def equal(s): | |
lent = len(s) | |
prev = [1 for __ in range(lent+1)] | |
another = [0 for __ in range(lent)] | |
another[0] = int(s[0]) | |
for i in range(1,lent): | |
another[i] = ((another[i-1]-1)*10+(int(s[i])+1)) | |
# another[i]=(md + another[i]) | |
prev[lent-1] = int(s[-1])+1 | |
for i in range(lent-2,-1,-1): | |
prev[i] = prev[i+1]+(int(10**(lent-i-1)))*(int(s[i])) | |
# prev[i]=(md+prev[i]) | |
ans,var,num=0,0,0 | |
for i in range(lent): | |
if s[i]!=s[i-1]: | |
if i>1 and another[i-2]>0: # relaxed prefix | |
ans += ((another[i-2]-1)*int(10**(lent-i-1)))*45*int(10**(lent-i-1)) | |
if int(s[i-1]) > int(s[i]): # 97 then upto 88 | |
num = int(s[i-1])-1 | |
else: # 79 then upto 77 | |
num = int(s[i-1]) | |
# constraint prefix | |
ans += (((num*(num+1))//2)*(int(10**(lent-i-1))))*(int(10**(lent-i-1))) | |
else: # 77 | |
num = int(s[i]) | |
# constraint prefix and s[] | |
ans += num*(int(10**(lent-i-1)))*prev[i+1] | |
num -= 1 | |
ans += (((num*(num+1))//2)*(int(10**(lent-i-1))))*int(10**(lent-i-1)) | |
if i>1 and another[i-2]>1: # relaxed prefix | |
ans += (another[i-2]-1)*int(10**(lent-i-1))*45*int(10**(lent-i-1)) | |
var = (var+ans) | |
ans = 0 | |
return (var%md+md)%md | |
def sol(b): | |
s = str(b) | |
eq = equal(s) | |
v = (b*(b+1))//2 - eq | |
if len(s)>2: | |
ss = '1'*(len(s)-2) | |
if len(s)-3 > 0: | |
ss += ('0'*(len(s)-3)) | |
bg = int(ss) | |
v -= (bg*45) | |
v = (v%md+md)%md | |
elif len(s)==2: | |
pass | |
# print(v,' and ',(v+md)%md) | |
return v | |
def solve(): | |
nl,l = input().strip().split() | |
l = int(l) | |
nr,r = input().strip().split() | |
r = int(r) | |
print((sol(r)-sol(l-1)+md)%md) | |
# print(md) | |
if __name__=='__main__': | |
for _ in range(int(input().strip())): | |
solve() | |
''' | |
1 | |
1 1 | |
18 555444775544555444 | |
219055319 : ans | |
1 | |
18 100000000000000001 | |
18 555444775544555444 | |
301905305 : ans | |
''' |
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