题目链接:http://codeforces.com/contest/595/problem/B
题意:给你ai和bi,让你找到有多少个k位数,使得这个k位数不以bi开头且mod ai=0,处理n/k次,然后把所有的答案都乘起来
解法:容斥水题,所有的方案数 - 以bi开头的就好了
//CF 595B
#include <bits/stdc++.h>
using namespace std;
const int maxn = 100005;
const int mod = 1e9+7;
long long a[maxn], b[maxn];
long long ten[20];
long long ans[maxn];
int main()
{
int n, k;
scanf("%d%d", &n, &k);
for(int i = 1; i <= n/k; i++) scanf("%lld", &a[i]);
for(int i = 1; i <= n/k; i++) scanf("%lld", &b[i]);
ten[0] = 1;
for(int i = 1; i <= 10; i++) ten[i] = ten[i-1]*10;
long long tmp1, tmp2, tmp3;
for(int i = 1; i <= n/k; i++){
tmp1 = (ten[k]-1)/a[i]+1;
tmp2 = ((b[i]+1)*ten[k-1]-1)/a[i]+1;
if(b[i] == 0) ans[i] = tmp1-tmp2;
else{
tmp3 = (b[i]*ten[k-1]-1)/a[i]+1;
ans[i]=tmp1-tmp2+tmp3;
}
}
long long Ans = 1;
for(int i = 1; i <= n/k; i++){
Ans = Ans*ans[i]%mod;
}
printf("%lld\n", Ans);
return 0;
}