Problem Description
Acesrc is a famous mathematician at Nanjing University second to none. Playing with interesting numbers is his favorite. Today, he finds a manuscript when cleaning his room, which reads
... Let f(d,n) denote the number of occurrences of digit d in decimal representations of integers 1,2,3,⋯,n. The function has some fantastic properties ...
... Obviously, there exist some nonnegative integers k, such that f(d,k)=k, and I decide to call them d-good numbers ...
... I have found all d-good numbers not exceeding 101000, but the paper is too small to write all these numbers ...
Acesrc quickly recollects all d-good numbers he found, and he tells Redsun a question about d-good numbers: what is the maximum d-good number no greater than x? However, Redsun is not good at mathematics, so he wants you to help him solve this problem.
Input
The first line of input consists of a single integer q (1≤q≤1500), denoting the number of test cases. Each test case is a single line of two integers d (1≤d≤9) and x (0≤x≤1018).
Output
For each test case, print the answer as a single integer in one line. Note that 0 is trivially a d-good number for arbitrary d.
Sample Input
3 1 1 1 199999 3 0
Sample Output
1 199990 0
打表题
打得我怀疑人生
#include
using namespace std;
#define mp make_pair
#define ss second
#define ff first
template
void read(T &x);
typedef long long ll;
typedef unsigned long long ull;
typedef pair pll;
const ll mod = 1e9 + 7;
const int maxn = 1e6 + 5;
int n, m;
ll v1[105] =
{
1,199981,199982,199983,199984,199985,199986,199987,//8
199988,199989,199990,200000,200001,1599981,1599982,//15
1599983,1599984,1599985,1599986,1599987,1599988,1599989,//22
1599990,2600000,2600001,13199998,35000000,35000001,35199981,//29
35199982,35199983,35199984,35199985,35199986,35199987,35199988,//36
35199989,35199990,35200000,35200001,117463825,500000000,500000001,//43
500199981,500199982,500199983,500199984,500199985,500199986,500199987,//50
500199988,500199989,500199990,500200000,500200001,501599981,501599982,//57
501599983,501599984,501599985,501599986,501599987,501599988,501599989,//64
501599990,502600000,502600001,513199998,535000000,535000001,535199981,//71
535199982,535199983,535199984,535199985,535199986,535199987,535199988,//78
535199989,535199990,535200000,535200001,1111111110//83
};
ll v2[30] =
{
28263827, 35000000, 242463827, 500000000, 528263827, 535000000, 10000000000, 10028263827, 10035000000, 10242463827, 10500000000, 10528263827, 10535000000
};
ll v3[40] =
{
371599983,371599984,371599985,371599986,371599987,371599988,371599989,
371599990,371599991,371599992,500000000,10000000000,10371599983,10371599984,
10371599985,10371599986,10371599987,10371599988,10371599989,10371599990,10371599991,
10371599992,10500000000,20000000000,20371599983,20371599984,20371599985,20371599986,20371599987,
20371599988,20371599989,20371599990,20371599991,20371599992,20500000000
};
ll v4[50] =
{
499999984,499999985,499999986,499999987,499999988,499999989,499999990,499999991,499999992,
499999993,500000000,10000000000,10499999984,10499999985,10499999986,10499999987,10499999988,
10499999989,10499999990,10499999991,10499999992,10499999993,10500000000,20000000000,20499999984,
20499999985,20499999986,20499999987,20499999988,20499999989,20499999990,20499999991,20499999992,20499999993,
20500000000,30000000000,30499999984,30499999985,30499999986,30499999987,30499999988,30499999989,30499999990,
30499999991,30499999992,30499999993,30500000000
};
ll v5[10] =
{
10000000000, 20000000000, 30000000000, 40000000000
};
ll v6[80] =
{
9500000000,9628399986,9628399987,9628399988,9628399989,9628399990,9628399991,9628399992,9628399993,9628399994,9628399995,
10000000000,19500000000,19628399986,19628399987,19628399988,19628399989,19628399990,19628399991,19628399992,19628399993,19628399994,
19628399995,20000000000,29500000000,29628399986,29628399987,29628399988,29628399989,29628399990,29628399991,29628399992,29628399993,
29628399994,29628399995,30000000000,39500000000,39628399986,39628399987,39628399988,39628399989,39628399990,39628399991,39628399992,39628399993,
39628399994,39628399995,40000000000,49500000000,49628399986,49628399987,49628399988,49628399989,49628399990,49628399991,49628399992,49628399993,49628399994,
49628399995,50000000000,59500000000,59628399986,59628399987,59628399988,59628399989,59628399990,59628399991,59628399992,59628399993,59628399994,59628399995
};
ll v7[50] =
{
9465000000, 9471736170, 9500000000, 9757536170, 9965000000, 9971736170, 10000000000, 19465000000, 19471736170, 19500000000, 19757536170, 19965000000, 19971736170, 20000000000, 29465000000, 29471736170,
29500000000,29757536170,29965000000,29971736170,30000000000,39465000000,39471736170,39500000000,39757536170,39965000000,39971736170,40000000000,49465000000,49471736170,
49500000000,49757536170,49965000000,49971736170,50000000000,59465000000,59471736170,59500000000,59757536170,59965000000,59971736170,60000000000,69465000000,69471736170,69500000000,
69757536170,69965000000,69971736170
};
ll v8[350] =
{
9465000000,
9486799989,
9486799990,
9486799991,
9486799992,
9486799993,
9486799994,
9486799995,
9486799996,
9486799997,
9497400000,
9498399989,
9498399990,
9498399991,
9498399992,
9498399993,
9498399994,
9498399995,
9498399996,
9498399997,
9500000000,
9882536171,
9965000000,
9986799989,
9986799990,
9986799991,
9986799992,
9986799993,
9986799994,
9986799995,
9986799996,
9986799997,
9997400000,
9998399989,
9998399990,
9998399991,
9998399992,
9998399993,
9998399994,
9998399995,
9998399996,
9998399997,
10000000000,
19465000000,
19486799989,
19486799990,
19486799991,
19486799992,
19486799993,
19486799994,
19486799995,
19486799996,
19486799997,
19497400000,
19498399989,
19498399990,
19498399991,
19498399992,
19498399993,
19498399994,
19498399995,
19498399996,
19498399997,
19500000000,
19882536171,
19965000000,
19986799989,
19986799990,
19986799991,
19986799992,
19986799993,
19986799994,
19986799995,
19986799996,
19986799997,
19997400000,
19998399989,
19998399990,
19998399991,
19998399992,
19998399993,
19998399994,
19998399995,
19998399996,
19998399997,
20000000000,
29465000000,
29486799989,
29486799990,
29486799991,
29486799992,
29486799993,
29486799994,
29486799995,
29486799996,
29486799997,
29497400000,
29498399989,
29498399990,
29498399991,
29498399992,
29498399993,
29498399994,
29498399995,
29498399996,
29498399997,
29500000000,
29882536171,
29965000000,
29986799989,
29986799990,
29986799991,
29986799992,
29986799993,
29986799994,
29986799995,
29986799996,
29986799997,
29997400000,
29998399989,
29998399990,
29998399991,
29998399992,
29998399993,
29998399994,
29998399995,
29998399996,
29998399997,
30000000000,
39465000000,
39486799989,
39486799990,
39486799991,
39486799992,
39486799993,
39486799994,
39486799995,
39486799996,
39486799997,
39497400000,
39498399989,
39498399990,
39498399991,
39498399992,
39498399993,
39498399994,
39498399995,
39498399996,
39498399997,
39500000000,
39882536171,
39965000000,
39986799989,
39986799990,
39986799991,
39986799992,
39986799993,
39986799994,
39986799995,
39986799996,
39986799997,
39997400000,
39998399989,
39998399990,
39998399991,
39998399992,
39998399993,
39998399994,
39998399995,
39998399996,
39998399997,
40000000000,
49465000000,
49486799989,
49486799990,
49486799991,
49486799992,
49486799993,
49486799994,
49486799995,
49486799996,
49486799997,
49497400000,
49498399989,
49498399990,
49498399991,
49498399992,
49498399993,
49498399994,
49498399995,
49498399996,
49498399997,
49500000000,
49882536171,
49965000000,
49986799989,
49986799990,
49986799991,
49986799992,
49986799993,
49986799994,
49986799995,
49986799996,
49986799997,
49997400000,
49998399989,
49998399990,
49998399991,
49998399992,
49998399993,
49998399994,
49998399995,
49998399996,
49998399997,
50000000000,
59465000000,
59486799989,
59486799990,
59486799991,
59486799992,
59486799993,
59486799994,
59486799995,
59486799996,
59486799997,
59497400000,
59498399989,
59498399990,
59498399991,
59498399992,
59498399993,
59498399994,
59498399995,
59498399996,
59498399997,
59500000000,
59882536171,
59965000000,
59986799989,
59986799990,
59986799991,
59986799992,
59986799993,
59986799994,
59986799995,
59986799996,
59986799997,
59997400000,
59998399989,
59998399990,
59998399991,
59998399992,
59998399993,
59998399994,
59998399995,
59998399996,
59998399997,
60000000000,
69465000000,
69486799989,
69486799990,
69486799991,
69486799992,
69486799993,
69486799994,
69486799995,
69486799996,
69486799997,
69497400000,
69498399989,
69498399990,
69498399991,
69498399992,
69498399993,
69498399994,
69498399995,
69498399996,
69498399997,
69500000000,
69882536171,
69965000000,
69986799989,
69986799990,
69986799991,
69986799992,
69986799993,
69986799994,
69986799995,
69986799996,
69986799997,
69997400000,
69998399989,
69998399990,
69998399991,
69998399992,
69998399993,
69998399994,
69998399995,
69998399996,
69998399997,
70000000000,
79465000000,
79486799989,
79486799990,
79486799991,
79486799992,
79486799993,
79486799994,
79486799995,
79486799996,
79486799997,
79497400000,
79498399989,
79498399990,
79498399991,
79498399992,
79498399993,
79498399994,
79498399995,
79498399996,
79498399997,
79500000000,
79882536171,
79965000000,
79986799989,
79986799990,
79986799991,
79986799992,
79986799993,
79986799994,
79986799995,
79986799996,
79986799997,
79997400000,
79998399989,
79998399990,
79998399991,
79998399992,
79998399993,
79998399994,
79998399995,
79998399996,
79998399997
};
ll v9[10] =
{
10000000000, 20000000000, 30000000000, 40000000000, 50000000000, 60000000000, 70000000000, 80000000000
};
int d;
ll x;
void slove()
{
read(d);read(x);
if(x == 0)
{
cout<<0<=0;i--)
if(x>=v1[i])
{
cout<=0;i--)
if(x>=v2[i])
{
cout<=0;i--)
if(x>=v3[i])
{
cout<=0;i--)
if(x>=v4[i])
{
cout<=0;i--)
if(x>=v5[i])
{
cout<=0;i--)
if(x>=v6[i])
{
cout<=0;i--)
if(x>=v7[i])
{
cout<=0;i--)
if(x>=v8[i])
{
cout<=0;i--)
if(x>=v9[i])
{
cout<
void read(T &x)
{
static char ch;
static bool neg;
for(ch = neg = 0; ch < '0' || '9' < ch; neg |= ch == '-', ch = getchar());
for(x = 0; '0' <= ch && ch <= '9'; (x *= 10) += ch - '0', ch = getchar());
x = neg ? -x : x;
}