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;
const int N = 1010;
const int md = int(1e9) + 7;
bool way[N];
int n, k, ms[2][N], f[N][2][N][2], cnt[N][2][N][2];
bool bad;
int sub(int x, int y){
x -= y;
if (x < 0)
x += md;
return x;
}
int sum(int x, int y){
x += y;
if (x >= md)
x -= md;
return x;
}
void SUM(int &x, int y){
x += y;
if (x >= md)
x -= md;
}
int calc(int nm, int mx){
for (int len = 0; len <= n; len++)
for (int tp = 0; tp < 2; tp++)
for (int kl = 0; kl <= k; kl++)
for (int ori = 0; ori < 2; ori++){
f[len][tp][kl][ori] = 0;
cnt[len][tp][kl][ori] = -1;
}
f[0][1][0][1] = f[0][1][0][0] = 1;
cnt[0][1][0][1] = cnt[0][1][0][0] = 1;
for (int len = 0; len < n - 1; len++)
for (int tp = 0; tp < 2; tp++)
for (int kl = 0; kl <= k; kl++)
for (int ori = 0; ori < 2; ori++){
if (cnt[len][tp][kl][ori] < 0) continue;
int nw = (way[len + 1] ^ ori);
int nln = len + 1;
int nt = tp;
int ko = kl;
int no = ori;
bad = 0;
if (tp == 1){
if (ms[nm][len + 1] < nw)
bad = 1;
if (ms[nm][len + 1] > nw)
nt = 0;
}
if (!bad){
SUM(f[nln][nt][ko][no], sum(f[len][tp][kl][ori], f[len][tp][kl][ori]));
if (nw == 1)
SUM(f[nln][nt][ko][no], cnt[len][tp][kl][ori]);
if (cnt[nln][nt][ko][no] < 0)
cnt[nln][nt][ko][no] = 0;
SUM(cnt[nln][nt][ko][no], cnt[len][tp][kl][ori]);
}
if (kl == k) continue;
nw = (way[len + 1] ^ ori ^ 1);
nln = len + 1;
nt = tp;
ko = kl + 1;
no = ori ^ 1;
bad = 0;
if (tp == 1){
if (ms[nm][len + 1] < nw)
bad = 1;
if (ms[nm][len + 1] > nw)
nt = 0;
}
if (!bad){
SUM(f[nln][nt][ko][no], sum(f[len][tp][kl][ori], f[len][tp][kl][ori]));
if (nw == 1)
SUM(f[nln][nt][ko][no], cnt[len][tp][kl][ori]);
if (cnt[nln][nt][ko][no] < 0)
cnt[nln][nt][ko][no] = 0;
SUM(cnt[nln][nt][ko][no], cnt[len][tp][kl][ori]);
}
}
int res = 0;
for (int tp = 0; tp <= mx; tp++)
for (int ori = 0; ori < 2; ori++)
SUM(res, f[n - 1][tp][k][ori]);
return res;
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef _LOCAL
freopen("in.txt","r",stdin);
#endif // _LOCAL
cin >> n >> k;
for (int i = 1; i < n; i++){
char c; cin >> c;
way[i] = bool(c == 'R');
}
for (int i = 0; i < n; i++){
char c; cin >> c;
ms[0][i] = bool(c == '1');
}
for (int i = 0; i < n; i++){
char c; cin >> c;
ms[1][i] = bool(c == '1');
}
cout << sub(calc(1, 1), calc(0, 0));
return 0;
}
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