#include <bits/stdc++.h>
using namespace std;
const int N = 1005;
const int MOD = 1000000007;
inline int add(int a, int b){return (a+b>=MOD)?a+b-MOD:a+b;}
inline void inc(int& a, int b){a = add(a, b);}
inline int sub(int a, int b){return (a-b<0)?a-b+MOD:a-b;}
inline void dec(int &a, int b){a = sub(a, b);}
inline int mul(int a, int b){return 1ll*a*b%MOD;}
inline void grow(int &a, int b){a = mul(a, b);}
int n, k, dp1[N][N][2][2][2], dp2[N][N][2][2][2], ans;
int moves[N], lo[N], hi[N]; string _str;
int main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n >> k >> _str;
for(int i = 0; i<n-1; ++i)
moves[i] = _str[i]=='L'?0:1;
cin >> _str;
for(int i = 0; i<n; ++i)
lo[i] = _str[i]-'0';
cin >> _str;
for(int i = 0; i<n; ++i)
hi[i] = _str[i]-'0';
dp1[0][0][1][1][0] = dp1[0][0][1][1][1] = dp2[0][0][1][1][0] = dp2[0][0][1][1][1] = 1;
for(int i = 0; i<n-1; ++i)
for(int j = 0; j<=k; ++j)
for(int a = 0; a<2; ++a)
for(int b = 0; b<2; ++b)
for(int f = 0; f<2; ++f){
int nxt = moves[i]^f;
int v1 = dp1[i][j][a][b][f];
int v2 = dp2[i][j][a][b][f];
if((!a || (nxt>=lo[i+1])) && (!b || (nxt<=hi[i+1])))
inc(dp1[i+1][j][a && nxt==lo[i+1]][b && nxt==hi[i+1]][f], add(mul(v1, 2), mul(nxt==1, v2))),
inc(dp2[i+1][j][a && nxt==lo[i+1]][b && nxt==hi[i+1]][f], v2);
if(j==k) continue;
nxt ^= 1;
if((!a || (nxt>=lo[i+1])) && (!b || (nxt<=hi[i+1])))
inc(dp1[i+1][j+1][a && nxt==lo[i+1]][b && nxt==hi[i+1]][f^1], add(mul(v1, 2), mul(nxt==1, v2))),
inc(dp2[i+1][j+1][a && nxt==lo[i+1]][b && nxt==hi[i+1]][f^1], v2);
}
for(int a = 0; a<2; ++a)
for(int b = 0; b<2; ++b)
for(int c = 0; c<2; ++c)
inc(ans, dp1[n-1][k][a][b][c]);
cout << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
8396 KB |
Output is correct |
2 |
Correct |
6 ms |
8012 KB |
Output is correct |
3 |
Correct |
5 ms |
7628 KB |
Output is correct |
4 |
Correct |
5 ms |
7244 KB |
Output is correct |
5 |
Correct |
6 ms |
6720 KB |
Output is correct |
6 |
Correct |
6 ms |
6348 KB |
Output is correct |
7 |
Correct |
4 ms |
5964 KB |
Output is correct |
8 |
Correct |
4 ms |
5580 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
460 KB |
Output is correct |
2 |
Correct |
1 ms |
460 KB |
Output is correct |
3 |
Correct |
1 ms |
460 KB |
Output is correct |
4 |
Correct |
1 ms |
460 KB |
Output is correct |
5 |
Correct |
1 ms |
460 KB |
Output is correct |
6 |
Correct |
1 ms |
460 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
460 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
460 KB |
Output is correct |
15 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
148 ms |
44156 KB |
Output is correct |
2 |
Correct |
102 ms |
33088 KB |
Output is correct |
3 |
Correct |
117 ms |
36840 KB |
Output is correct |
4 |
Correct |
227 ms |
63180 KB |
Output is correct |
5 |
Correct |
103 ms |
31576 KB |
Output is correct |
6 |
Correct |
192 ms |
63152 KB |
Output is correct |
7 |
Correct |
63 ms |
22524 KB |
Output is correct |
8 |
Correct |
120 ms |
36128 KB |
Output is correct |
9 |
Correct |
10 ms |
9548 KB |
Output is correct |
10 |
Correct |
100 ms |
33596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
8396 KB |
Output is correct |
2 |
Correct |
6 ms |
8012 KB |
Output is correct |
3 |
Correct |
5 ms |
7628 KB |
Output is correct |
4 |
Correct |
5 ms |
7244 KB |
Output is correct |
5 |
Correct |
6 ms |
6720 KB |
Output is correct |
6 |
Correct |
6 ms |
6348 KB |
Output is correct |
7 |
Correct |
4 ms |
5964 KB |
Output is correct |
8 |
Correct |
4 ms |
5580 KB |
Output is correct |
9 |
Correct |
1 ms |
460 KB |
Output is correct |
10 |
Correct |
1 ms |
460 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
460 KB |
Output is correct |
15 |
Correct |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
1 ms |
460 KB |
Output is correct |
17 |
Correct |
1 ms |
460 KB |
Output is correct |
18 |
Correct |
1 ms |
460 KB |
Output is correct |
19 |
Correct |
1 ms |
460 KB |
Output is correct |
20 |
Correct |
1 ms |
460 KB |
Output is correct |
21 |
Correct |
1 ms |
460 KB |
Output is correct |
22 |
Correct |
1 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
460 KB |
Output is correct |
24 |
Correct |
148 ms |
44156 KB |
Output is correct |
25 |
Correct |
102 ms |
33088 KB |
Output is correct |
26 |
Correct |
117 ms |
36840 KB |
Output is correct |
27 |
Correct |
227 ms |
63180 KB |
Output is correct |
28 |
Correct |
103 ms |
31576 KB |
Output is correct |
29 |
Correct |
192 ms |
63152 KB |
Output is correct |
30 |
Correct |
63 ms |
22524 KB |
Output is correct |
31 |
Correct |
120 ms |
36128 KB |
Output is correct |
32 |
Correct |
10 ms |
9548 KB |
Output is correct |
33 |
Correct |
100 ms |
33596 KB |
Output is correct |
34 |
Correct |
160 ms |
52504 KB |
Output is correct |
35 |
Correct |
54 ms |
22852 KB |
Output is correct |
36 |
Correct |
86 ms |
32912 KB |
Output is correct |
37 |
Correct |
181 ms |
60084 KB |
Output is correct |
38 |
Correct |
28 ms |
14800 KB |
Output is correct |
39 |
Correct |
167 ms |
56872 KB |
Output is correct |
40 |
Correct |
30 ms |
13636 KB |
Output is correct |
41 |
Correct |
105 ms |
40288 KB |
Output is correct |
42 |
Correct |
147 ms |
49732 KB |
Output is correct |
43 |
Correct |
139 ms |
49468 KB |
Output is correct |
44 |
Correct |
172 ms |
56500 KB |
Output is correct |
45 |
Correct |
49 ms |
21572 KB |
Output is correct |
46 |
Correct |
129 ms |
45872 KB |
Output is correct |
47 |
Correct |
132 ms |
48140 KB |
Output is correct |
48 |
Correct |
78 ms |
30736 KB |
Output is correct |
49 |
Correct |
10 ms |
9152 KB |
Output is correct |
50 |
Correct |
150 ms |
54768 KB |
Output is correct |
51 |
Correct |
86 ms |
28804 KB |
Output is correct |
52 |
Correct |
75 ms |
30428 KB |
Output is correct |
53 |
Correct |
188 ms |
63176 KB |
Output is correct |
54 |
Correct |
53 ms |
23344 KB |
Output is correct |
55 |
Correct |
150 ms |
53580 KB |
Output is correct |
56 |
Correct |
171 ms |
60052 KB |
Output is correct |
57 |
Correct |
22 ms |
13516 KB |
Output is correct |
58 |
Correct |
135 ms |
48380 KB |
Output is correct |