This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <algorithm>
#include <cstdio>
#include <iostream>
#include <cstring>
using namespace std;
long long mem[2][2][21][110];
char start[21],END[21];
int N;
long long pos(int b1,int b2, int digits, int last){
	if(digits >= N){
		return 1;
	}
	long long &res = mem[b1][b2][digits][last];
	if(res >= 0) return res;
	res = 0;
	int i,sd,ed,t1,t2;
	sd = b1 ? start[digits] : 0;
	ed = b2 ? END[digits] : 9;
	for(i = sd; i <= ed; ++i){
		if(i == last%10 || i == last/10) continue;
		t1 = (b1 && i == sd);
		t2 = (b2 && i == ed);
		res += pos(t1,t2,digits+1,(last%10)*10+i);
	}
	return res;
}
int main(){
	//freopen("PFNUM.INP","r",stdin);
	//freopen("PFNUM.OUT","w",stdout);
	int i,st,en,n,m,b1,b2;
	long long sol;
	scanf("%s %s",start,END);
	n = strlen(start);
	m = strlen(END);
	for(i = 0; i < n; ++i) start[i] -= '0';
	for(i = 0; i < m; ++i) END[i] -= '0';
	sol = 0;
	if(n < 2 && m < 2) sol += END[0]-start[0]+1;
	else if(n < 2) sol += 10-start[0];
	for(N = max(2,n); N <= m; ++N){
		memset(mem,-1,sizeof(long long)*2*2*21*110);
		b1 = N == n;
		b2 = N == m;
		st = b1 ? start[0]*10+start[1] : 10;
		en = b2 ? END[0]*10+END[1] : 99;
		for(i = st; i <= en; ++i){
			if(i%10 == i/10) continue;
			sol += pos(b1 && i==st ,b2 && i==en,2,i);
		}
	}
	printf("%lld\n",sol);
	return 0;
}
Compilation message (stderr)
numbers.cpp: In function 'int main()':
numbers.cpp:44:26: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%s %s",start,END);
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