#include <cstdio>
#define U unsigned
#define ULL U long long
U gcd (U a, U b)
{
while (b>0)
{
a %= b;
a ^= b;
b ^= a;
a ^= b;
}
return a;
}
U lcm (U a, U b)
{
return a / gcd (a, b) * b;
}
U dlcm (ULL a)
{
U l;
for (l=1; a>0; a/=10) l = lcm (l, a%10);
return l;
}
#define M 2520
#define N 18
#define D 48
ULL cc[M][N+1][D+1];
U dd[M+1];
U mm[N+1];
ULL count (U m, U n, U d)
{
ULL r = cc[m][n][dd[d]];
if (r) return r-1;
if (d%10==0) r = 0;
else if (n==0) r = m%d==0;
else for (U i=1; i<10; i++) r += count ((m+i*mm[n-1])%M, n-1, lcm(d,i));
cc[m][n][dd[d]] = r+1;
return r;
}
int main ()
{
for (U a=1; a<10; a*=2)
for (U b=1; b<10; b*=3)
for (U c=1; c<10; c*=5)
for (U d=1; d<10; d*=7)
dd[lcm(lcm(a,b),lcm(c,d))] = 1;
for (U m=0, d=0; m<=M; m++) if (dd[m]) dd[m] = ++d;
for (U n=0, m=1; n<=N; n++, m*=10, m%=M) mm[n] = m;
ULL l, r, p, q, w=0;
scanf ("%llu%llu", &l, &r);
for (p=l; p<=r; p+=q)
{
U n=0;
for (q=1; p%(q*10)==0 && p+q*10-1<=r; q*=10, n++);
w += count (p%M, n, dlcm(p/q));
}
printf ("%llu\n", w);
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 | #include <cstdio> #define U unsigned #define ULL U long long U gcd (U a, U b) { while (b>0) { a %= b; a ^= b; b ^= a; a ^= b; } return a; } U lcm (U a, U b) { return a / gcd (a, b) * b; } U dlcm (ULL a) { U l; for (l=1; a>0; a/=10) l = lcm (l, a%10); return l; } #define M 2520 #define N 18 #define D 48 ULL cc[M][N+1][D+1]; U dd[M+1]; U mm[N+1]; ULL count (U m, U n, U d) { ULL r = cc[m][n][dd[d]]; if (r) return r-1; if (d%10==0) r = 0; else if (n==0) r = m%d==0; else for (U i=1; i<10; i++) r += count ((m+i*mm[n-1])%M, n-1, lcm(d,i)); cc[m][n][dd[d]] = r+1; return r; } int main () { for (U a=1; a<10; a*=2) for (U b=1; b<10; b*=3) for (U c=1; c<10; c*=5) for (U d=1; d<10; d*=7) dd[lcm(lcm(a,b),lcm(c,d))] = 1; for (U m=0, d=0; m<=M; m++) if (dd[m]) dd[m] = ++d; for (U n=0, m=1; n<=N; n++, m*=10, m%=M) mm[n] = m; ULL l, r, p, q, w=0; scanf ("%llu%llu", &l, &r); for (p=l; p<=r; p+=q) { U n=0; for (q=1; p%(q*10)==0 && p+q*10-1<=r; q*=10, n++); w += count (p%M, n, dlcm(p/q)); } printf ("%llu\n", w); return 0; } |
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