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 <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define F first
#define S second
#define pb push_back
#define endl "\n"
#define aint(x) x.begin(), x.end()
const int M = 3007;
const ll inf = 2e9;
const ll mod = 1e9 + 7;
const double pi = acos(-1);
const double eps = 1e-6;
const int dx[] = {0, -1, 0, 1}, dy[] = {1, 0, -1, 0};
const int block = 320;
string s, a, b;
ll n, k, mn, mx;
ll solve(ll i, ll rem, ll cost, bool flip){
if(rem < 0) return 0;
if(i == n - 1){
if(rem || cost < mn || cost > mx) return 0ll;
return cost;
}
ll ret = 0;
if(flip){
if(s[i] == 'L') ret = (solve(i + 1, rem - 1, cost * 2 + 1, flip ^ 1) + solve(i + 1, rem, cost * 2 + 1, flip)) % mod;
else ret = (solve(i + 1, rem - 1, cost * 2, flip ^ 1) + solve(i + 1, rem, cost * 2, flip)) % mod;
}
else{
if(s[i] == 'R') ret = (solve(i + 1, rem - 1, cost * 2 + 1, flip ^ 1) + solve(i + 1, rem, cost * 2 + 1, flip)) % mod;
else ret = (solve(i + 1, rem - 1, cost * 2, flip ^ 1) + solve(i + 1, rem, cost * 2, flip)) % mod;
}
return ret;
}
int main(){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n >> k >> s >> a >> b;
for(int i = 0; i < n; ++i){
mn = mn * 2 + a[i] - '0';
mx = mx * 2 + b[i] - '0';
}
cout << (solve(0, k, 1, 1) + solve(0, k, 1, 0)) % mod << endl;
return 0;
}
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