#include <bits/stdc++.h>
using namespace std;
pair<long long,long long> dp[1001][1001][2][2];
string l,r;
string mo;
int org = 0;
pair<long long,long long> neg = {-1,-1};
long long mod = int(1e9)+7;
long long pw[1001];
//1000
//1001
//1010
//1101
//1110
//1111
//|R|L|R
//||R|L|R
//|R|R|L 1110
//||LR|L 1010
//||L|LL 1000
//|RL|R 1101
//|R|RR 1111
//L|L|R 1001
pair<long long,long long> solve(int i,int rem,int lowe,int uppe){
if(i==mo.size()){
return {(rem==0?1:0),0};
}
if(dp[i][rem][lowe][uppe]!=neg)return dp[i][rem][lowe][uppe];
int diff = (org-rem)%2;
char st = '0';
if(mo[i]=='R')st = '1';
pair<long long,long long>all = {0,0};
long long nu = 0;bool ss = 0;
for(char j = st;j<=st;j++){
char c = j;
if(diff){
if(c=='0')c = '1';
else c = '0';
}
if(c=='1')ss = 1;
if(c<r[i+1]){
if(c>l[i+1]){
all.first+=solve(i+1,rem,1,1).first;
all.second+=solve(i+1,rem,1,1).second;
all.first%=mod;
all.second%=mod;
if(ss)nu+=solve(i+1,rem,1,1).first;
nu%=mod;
}else if(c==l[i+1]||lowe){
all.first+=solve(i+1,rem,lowe,1).first;
all.second+=solve(i+1,rem,lowe,1).second;
all.first%=mod;
all.second%=mod;
if(ss)nu+=solve(i+1,rem,lowe,1).first;
nu%=mod;
}
}else if(c==r[i+1]||uppe){
if(c>l[i+1]){
all.first+=solve(i+1,rem,1,uppe).first;
all.second+=solve(i+1,rem,1,uppe).second;
all.first%=mod;
all.second%=mod;
if(ss)nu+=solve(i+1,rem,1,uppe).first;
nu%=mod;
}else if(c==l[i+1]||lowe){
all.first+=solve(i+1,rem,lowe,uppe).first;
all.second+=solve(i+1,rem,lowe,uppe).second;
all.first%=mod;
all.second%=mod;
if(ss)nu+=solve(i+1,rem,lowe,uppe).first;
nu%=mod;
}
}
}
int orginalRem = rem;
if(rem>0){
rem--;
ss =0;
diff = !diff;
for(char j = st;j<=st;j++){
char c = j;
if(diff){
if(c=='0')c = '1';
else c = '0';
}
if(c=='1')ss=1;
if(c<r[i+1]){
if(c>l[i+1]){
all.first+=solve(i+1,rem,1,1).first;
all.second+=solve(i+1,rem,1,1).second;
all.first%=mod;
all.second%=mod;
if(ss)nu+=solve(i+1,rem,1,1).first;
nu%=mod;
}else if(c==l[i+1]||lowe){
all.first+=solve(i+1,rem,lowe,1).first;
all.second+=solve(i+1,rem,lowe,1).second;
all.first%=mod;
all.second%=mod;
if(ss)nu+=solve(i+1,rem,lowe,1).first;
nu%=mod;
}
}else if(c==r[i+1]||uppe){
if(c>l[i+1]){
all.first+=solve(i+1,rem,1,uppe).first;
all.second+=solve(i+1,rem,1,uppe).second;
all.first%=mod;
all.second%=mod;
if(ss)nu+=solve(i+1,rem,1,uppe).first;
nu%=mod;
}else if(c==l[i+1]||lowe){
all.first+=solve(i+1,rem,lowe,uppe).first;
all.second+=solve(i+1,rem,lowe,uppe).second;
all.first%=mod;
all.second%=mod;
if(ss)nu+=solve(i+1,rem,lowe,uppe).first;
nu%=mod;
}
}
}
}
all.second+=(nu*pw[(mo.size()-1)-i])%mod;
all.second%=mod;
return dp[i][orginalRem][lowe][uppe] =all;
}
signed main(){
pw[0] = 1;
for(int i = 1;i<=1000;i++){
pw[i] = (pw[i-1]*2)%mod;
}
long long n,k;
cin>>n>>k;
org =k;
cin>>mo>>l>>r;
for(int i = 0;i<=n;i++){
for(int j = 0;j<=k;j++){
dp[i][j][0][0] = neg;
dp[i][j][1][0] = neg;
dp[i][j][1][1] = neg;
dp[i][j][0][1] = neg;
}
}
pair<long long,long long> sum = solve(0,k,0,0);
//
for(int i = 0;i<=n;i++){
for(int j = 0;j<=k;j++){
dp[i][j][0][0] = neg;
dp[i][j][1][0] = neg;
dp[i][j][1][1] = neg;
dp[i][j][0][1] = neg;
}
}
for(int i =0 ;i<mo.size();i++){
if(mo[i]=='R')mo[i] ='L';
else mo[i] = 'R';
}
sum.first+=solve(0,k,0,0).first;
sum.second+=solve(0,k,0,0).second;
cout<<((pw[n-1]*sum.first)%mod+sum.second)%mod<<endl;
}
Compilation message
ljetopica.cpp: In function 'std::pair<long long int, long long int> solve(int, int, int, int)':
ljetopica.cpp:26:9: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
26 | if(i==mo.size()){
| ~^~~~~~~~~~~
ljetopica.cpp: In function 'int main()':
ljetopica.cpp:154:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
154 | for(int i =0 ;i<mo.size();i++){
| ~^~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4564 KB |
Output is correct |
2 |
Correct |
3 ms |
4308 KB |
Output is correct |
3 |
Correct |
2 ms |
4152 KB |
Output is correct |
4 |
Correct |
2 ms |
3924 KB |
Output is correct |
5 |
Correct |
2 ms |
3668 KB |
Output is correct |
6 |
Correct |
2 ms |
3540 KB |
Output is correct |
7 |
Correct |
2 ms |
3256 KB |
Output is correct |
8 |
Correct |
2 ms |
3028 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
308 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
71 ms |
40452 KB |
Output is correct |
2 |
Correct |
54 ms |
29284 KB |
Output is correct |
3 |
Correct |
61 ms |
32852 KB |
Output is correct |
4 |
Correct |
92 ms |
63232 KB |
Output is correct |
5 |
Correct |
52 ms |
27836 KB |
Output is correct |
6 |
Correct |
95 ms |
63052 KB |
Output is correct |
7 |
Correct |
35 ms |
18752 KB |
Output is correct |
8 |
Correct |
61 ms |
32340 KB |
Output is correct |
9 |
Correct |
5 ms |
5716 KB |
Output is correct |
10 |
Correct |
54 ms |
29780 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4564 KB |
Output is correct |
2 |
Correct |
3 ms |
4308 KB |
Output is correct |
3 |
Correct |
2 ms |
4152 KB |
Output is correct |
4 |
Correct |
2 ms |
3924 KB |
Output is correct |
5 |
Correct |
2 ms |
3668 KB |
Output is correct |
6 |
Correct |
2 ms |
3540 KB |
Output is correct |
7 |
Correct |
2 ms |
3256 KB |
Output is correct |
8 |
Correct |
2 ms |
3028 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
308 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
0 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
71 ms |
40452 KB |
Output is correct |
25 |
Correct |
54 ms |
29284 KB |
Output is correct |
26 |
Correct |
61 ms |
32852 KB |
Output is correct |
27 |
Correct |
92 ms |
63232 KB |
Output is correct |
28 |
Correct |
52 ms |
27836 KB |
Output is correct |
29 |
Correct |
95 ms |
63052 KB |
Output is correct |
30 |
Correct |
35 ms |
18752 KB |
Output is correct |
31 |
Correct |
61 ms |
32340 KB |
Output is correct |
32 |
Correct |
5 ms |
5716 KB |
Output is correct |
33 |
Correct |
54 ms |
29780 KB |
Output is correct |
34 |
Correct |
90 ms |
48812 KB |
Output is correct |
35 |
Correct |
41 ms |
19500 KB |
Output is correct |
36 |
Correct |
56 ms |
29268 KB |
Output is correct |
37 |
Correct |
31 ms |
59968 KB |
Output is correct |
38 |
Correct |
18 ms |
11220 KB |
Output is correct |
39 |
Correct |
77 ms |
53436 KB |
Output is correct |
40 |
Correct |
16 ms |
10172 KB |
Output is correct |
41 |
Correct |
72 ms |
36636 KB |
Output is correct |
42 |
Correct |
83 ms |
45948 KB |
Output is correct |
43 |
Correct |
76 ms |
45908 KB |
Output is correct |
44 |
Correct |
77 ms |
53204 KB |
Output is correct |
45 |
Correct |
38 ms |
18020 KB |
Output is correct |
46 |
Correct |
73 ms |
42372 KB |
Output is correct |
47 |
Correct |
76 ms |
44620 KB |
Output is correct |
48 |
Correct |
52 ms |
27316 KB |
Output is correct |
49 |
Correct |
5 ms |
5588 KB |
Output is correct |
50 |
Correct |
87 ms |
51180 KB |
Output is correct |
51 |
Correct |
49 ms |
25248 KB |
Output is correct |
52 |
Correct |
60 ms |
26836 KB |
Output is correct |
53 |
Correct |
90 ms |
61696 KB |
Output is correct |
54 |
Correct |
36 ms |
19540 KB |
Output is correct |
55 |
Correct |
83 ms |
49876 KB |
Output is correct |
56 |
Correct |
90 ms |
56344 KB |
Output is correct |
57 |
Correct |
15 ms |
9660 KB |
Output is correct |
58 |
Correct |
84 ms |
44628 KB |
Output is correct |