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Submission #683762

# Submission time Handle Problem Language Result Execution time Memory
683762 2023-01-19T10:01:13 Z MtSaka Ljetopica (COI19_ljetopica) C++17
100 / 100
 89 ms 340 KB 
#include<bits/stdc++.h>
using namespace std;
using ll=long long;
static constexpr long long MOD=1000000007;
int main(){
  int n,k;cin>>n>>k;
  string s;cin>>s;
  string a,b;cin>>a>>b;
  //cerr<<n<<" "<<k<<endl;
  //cerr<<s<<endl;
  //cerr<<a<<" "<<b<<endl;
  auto f=[&](const string&t)->ll {
    //cerr<<t<<" "<<s<<endl;
    array<vector<ll>,2>dp;
    array<vector<ll>,2>sum;
    dp[0]=vector<ll>(k+1,0);
    dp[1]=vector<ll>(k+1,0);
    sum[0]=vector<ll>(k+1,0);
    sum[1]=vector<ll>(k+1,0);
    if(t[0]=='1'){
      dp[0][0]=1;
      sum[0][0]=1;
    }
    else{
      dp[1][0]=1;
      sum[1][0]=1;
    }
    //for(int i=0;i<=k;i++)cerr<<dp[0][i]<<" \n"[i==k];
    //for(int i=0;i<=k;i++)cerr<<dp[1][i]<<" \n"[i==k];
    //cerr<<endl;
    for(int i=1;i<n;i++){
      array<vector<ll>,2>dp2;
      array<vector<ll>,2>sum2;
      dp2[0]=vector<ll>(k+1,0);
      dp2[1]=vector<ll>(k+1,0);
      sum2[0]=vector<ll>(k+1,0);
      sum2[1]=vector<ll>(k+1,0);
      for(int j=0;j<=k;j++){
        if(j+1<=k){
          dp2[1][j+1]+=dp[1][j];
          if((j+1)&1){
            if(s[i-1]=='L'){
              sum2[1][j+1]+=sum[1][j]*2+dp[1][j];
              if(t[i]=='1')dp2[0][j+1]+=dp[0][j],sum2[0][j+1]+=sum[0][j]*2+dp[0][j];
            }
            else{
              sum2[1][j+1]+=sum[1][j]*2;
              if(t[i]=='1')dp2[1][j+1]+=dp[0][j],sum2[1][j+1]+=sum[0][j]*2;
              else dp2[0][j+1]+=dp[0][j],sum2[0][j+1]+=sum[0][j]*2;
            }
          }
          else{
            if(s[i-1]=='L'){
              sum2[1][j+1]+=sum[1][j]*2;
              if(t[i]=='1')dp2[1][j+1]+=dp[0][j],sum2[1][j+1]+=sum[0][j]*2;
              else dp2[0][j+1]+=dp[0][j],sum2[0][j+1]+=sum[0][j]*2;
            }
            else{
              sum2[1][j+1]+=sum[1][j]*2+dp[1][j];
              if(t[i]=='1')dp2[0][j+1]+=dp[0][j],sum2[0][j+1]+=sum[0][j]*2+dp[0][j];
            }
          }
          dp2[0][j+1]%=MOD;
          dp2[1][j+1]%=MOD;
          sum2[0][j+1]%=MOD;
          sum2[1][j+1]%=MOD;
        }
        dp2[1][j]+=dp[1][j];
        if(j&1){
          if(s[i-1]=='L'){
            sum2[1][j]+=sum[1][j]*2+dp[1][j];
            if(t[i]=='1')dp2[0][j]+=dp[0][j],sum2[0][j]+=sum[0][j]*2+dp[0][j];
          }
          else{
            sum2[1][j]+=sum[1][j]*2;
            if(t[i]=='1')dp2[1][j]+=dp[0][j],sum2[1][j]+=sum[0][j]*2;
            else dp2[0][j]+=dp[0][j],sum2[0][j]+=sum[0][j]*2;
          }
        }
        else{
          if(s[i-1]=='L'){
            sum2[1][j]+=sum[1][j]*2;
            if(t[i]=='1')dp2[1][j]+=dp[0][j],sum2[1][j]+=sum[0][j]*2;
            else dp2[0][j]+=dp[0][j],sum2[0][j]+=sum[0][j]*2;
          }
          else{
            sum2[1][j]+=sum[1][j]*2+dp[1][j];
            if(t[i]=='1')dp2[0][j]+=dp[0][j],sum2[0][j]+=sum[0][j]*2+dp[0][j];
          }
        }
        dp2[0][j]%=MOD;
        dp2[1][j]%=MOD;
        sum2[0][j]%=MOD;
        sum2[1][j]%=MOD;
      }
      swap(dp,dp2);
      swap(sum,sum2);
      //for(int j=0;j<=k;j++)cerr<<dp[0][j]<<" \n"[j==k];
      //for(int j=0;j<=k;j++)cerr<<dp[1][j]<<" \n"[j==k];
      //cerr<<endl;
    }
    return sum[0][k]+sum[1][k];
  };
  ll ans=0;
  int id=n-1;
  while(a[id]!='1'){
    a[id]='1';
    id--;
  }
  a[id]='0';
  ans=f(b)-f(a)+MOD;
  for(auto&i:s){
    if(i=='L')i='R';
    else i='L';
  }
  ans+=f(b)-f(a)+MOD;
  ans%=MOD;
  cout<<ans<<endl;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 304 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 300 KB Output is correct
8 Correct 1 ms 212 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 304 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 300 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 292 KB Output is correct
9 Correct 1 ms 304 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 33 ms 340 KB Output is correct
2 Correct 23 ms 312 KB Output is correct
3 Correct 28 ms 212 KB Output is correct
4 Correct 53 ms 340 KB Output is correct
5 Correct 22 ms 300 KB Output is correct
6 Correct 55 ms 252 KB Output is correct
7 Correct 14 ms 212 KB Output is correct
8 Correct 26 ms 212 KB Output is correct
9 Correct 2 ms 212 KB Output is correct
10 Correct 23 ms 212 KB Output is correct

Subtask #4
61.0 / 61.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 304 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 300 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 304 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 300 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 292 KB Output is correct
17 Correct 1 ms 304 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 33 ms 340 KB Output is correct
25 Correct 23 ms 312 KB Output is correct
26 Correct 28 ms 212 KB Output is correct
27 Correct 53 ms 340 KB Output is correct
28 Correct 22 ms 300 KB Output is correct
29 Correct 55 ms 252 KB Output is correct
30 Correct 14 ms 212 KB Output is correct
31 Correct 26 ms 212 KB Output is correct
32 Correct 2 ms 212 KB Output is correct
33 Correct 23 ms 212 KB Output is correct
34 Correct 46 ms 340 KB Output is correct
35 Correct 15 ms 316 KB Output is correct
36 Correct 30 ms 212 KB Output is correct
37 Correct 66 ms 340 KB Output is correct
38 Correct 7 ms 296 KB Output is correct
39 Correct 47 ms 340 KB Output is correct
40 Correct 6 ms 212 KB Output is correct
41 Correct 29 ms 212 KB Output is correct
42 Correct 39 ms 340 KB Output is correct
43 Correct 39 ms 340 KB Output is correct
44 Correct 46 ms 340 KB Output is correct
45 Correct 13 ms 320 KB Output is correct
46 Correct 37 ms 212 KB Output is correct
47 Correct 40 ms 340 KB Output is correct
48 Correct 22 ms 212 KB Output is correct
49 Correct 2 ms 212 KB Output is correct
50 Correct 89 ms 340 KB Output is correct
51 Correct 20 ms 212 KB Output is correct
52 Correct 21 ms 336 KB Output is correct
53 Correct 52 ms 340 KB Output is correct
54 Correct 15 ms 328 KB Output is correct
55 Correct 43 ms 340 KB Output is correct
56 Correct 47 ms 340 KB Output is correct
57 Correct 5 ms 212 KB Output is correct
58 Correct 41 ms 340 KB Output is correct