Submission #725479

# Submission time Handle Problem Language Result Execution time Memory
725479 2023-04-17T14:05:01 Z berr Bowling (BOI15_bow) C++17
100 / 100
770 ms 4172 KB
#include <bits/stdc++.h>
using namespace std;

#define int long long
int dp[11][305][12][12];
vector<string> all, all3;

int check(string t, string s){
    
    for(int i=0; i<s.size(); i++){
        if(s[i]!=t[i]&&s[i]!='?') return 0;

    }
    return 1;

}


int gs(string s){
    if(s.size()==3){
    int k=0;
    for(int i=0; i<s.size(); i++){
        if(s[i]=='x') k+=10;
        else if(s[i]=='/') k+=10-(s[i-1]-'0');
        else if(s[i]!='-') k+=(s[i]-'0');
    }

    return k;
    }

    int k=0;

    if(s[0]=='x') return 10;
    if(s[1]=='/') return 10;
    return (s[0]+s[1]-'0'*2);
}


array<int, 2> ab(string s){
    array<int, 2> q;

    if(s.size()==3){
        if(s[0]=='x') q[0] = 10;
        else q[0]=(s[0]-'0');
        if(s[1]=='x') q[1] = 10;
        else if(s[1]=='/') q[1] = 10-(s[0]-'0');
        else q[1]=(s[1]-'0');

        return q;
    }
    else{
        if(s[1]=='/'){
            return {s[0]-'0', 10-(s[0]-'0')};
        }
        else{
            return {s[0]-'0', s[1]-'0'};
        }
    }
}



void solve(){
    int n; cin >> n;
    string s; cin >> s;
    vector<string> b;

    b.push_back("zort");
    vector<int> p(n);

    for(auto &i: p) cin >> i;

    memset(dp, 0, sizeof(dp));

    string last="00"; 

    for(int i=0; i<2*(n); i+=2){
        string t;

        t+=s[i]; t+=s[i+1];

        if(i/2<n-1) {
            b.push_back(t);
        }

        else{
            t+=s[i+2];
            b.push_back(t);
            last=t;
        }

    }



    for(auto i: all3){
        if(check(i, last)){
            int sum=gs(i);
            auto x=ab(i);
            if(p[n-1] != -1){

                dp[n-1][p[n-1]-sum][x[0]][x[1]]++;
            }
            else{
                for(int l=sum; l<305; l++){
                    dp[n-1][l-sum][x[0]][x[1]]++;
                }
            }
        }
    }

    int ans = 0;


    for(int ind=n-1; ind>0; ind--){
        for(auto l: all){
            if(check(l, b[ind])){

                if(l=="x-"){

    
                    for(int i=0; i<=10; i++){
                        for(int j=0; j<=10; j++){
                            int sum=10+i+j;

                            if(p[ind-1]!=-1){
                                int k=p[ind-1];
                                 int f=k-sum;

                                 if(f>=0){
                                dp[ind-1][f][10][i] += dp[ind][k][i][j]; 
                                if(ind==1&&f==0) ans +=dp[ind][k][i][j];
                                }
                            }
                            else{
                                for(int k=sum; k<=300; k++){
                                    int f=k-sum;
                                    dp[ind-1][f][10][i] += dp[ind][k][i][j]; 
                                    if(ind==1&&f==0) ans +=dp[ind][k][i][j];
                                }   
                            }
                        }
                    }

                }

                else{
                    int sum=gs(l);
                    auto x=ab(l);

                    for(int i=0; i<=10; i++){
                        int ssum=sum;
                        if(l[1]=='/') ssum+=i;
                        for(int j=0; j<=10; j++){

                            
                            if(p[ind-1]!=-1){
                                int k=p[ind-1];
                                int f=k-ssum;

                                if(f>=0){
                                dp[ind-1][f][x[0]][x[1]] +=  dp[ind][k][i][j];

                                if(f==0&&ind==1){
                                    ans+=dp[ind][k][i][j];
                                } 
                                }
                            }
                            else{
                                for(int k=ssum; k<=300; k++){
                                    int f=k-ssum;


                                    dp[ind-1][f][x[0]][x[1]] +=  dp[ind][k][i][j];

                                    if(f==0&&ind==1){
                                        ans+=dp[ind][k][i][j];
                                    } 
                                }
                            }
                        }
                    }

                }

            }
        }
    }


    cout<<ans<<"\n";

}


int32_t main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    

    all.push_back("x-");
    all3.push_back("xxx");

    for(char i='0'; i<='9'; i++){
        string f="x/";

        f[0]=i;

        all.push_back(f);

        for(char l='0'; l-'0'+i-'0'<10; l++){
            string ff=f;

            ff[1]=l;
            all.push_back(ff);
        }
    }

    for(char i='0'; i<='9'; i++){
        string f="xxA"; f[2] = i;
        
        all3.push_back(f);

        f="A/x"; f[0]=i;
        all3.push_back(f);
    
        f="xA/"; f[1] = i;
        
        all3.push_back(f);
        
    }

    for(char i='0'; i<='9'; i++){
        for(char l='0'; l-'0'+i-'0'<10; l++){
            string f="xAB";  f[1] = i; f[2] = l;
            
            all3.push_back(f);
            
        

            f="AB-"; f[0] = i; f[1]=l;

            all3.push_back(f);
        }
    }


    for(char i='0'; i<='9'; i++){
        for(int l='0'; l<='9'; l++){
            string f ="A/B"; f[0]=i; f[2] = l;

            all3.push_back(f);
        }
    }

    
    int t; cin >> t;
    while(t--){
        solve();
    }
}

Compilation message

bow.cpp: In function 'long long int check(std::string, std::string)':
bow.cpp:10:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   10 |     for(int i=0; i<s.size(); i++){
      |                  ~^~~~~~~~~
bow.cpp: In function 'long long int gs(std::string)':
bow.cpp:22:19: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   22 |     for(int i=0; i<s.size(); i++){
      |                  ~^~~~~~~~~
bow.cpp:31:9: warning: unused variable 'k' [-Wunused-variable]
   31 |     int k=0;
      |         ^
# Verdict Execution time Memory Grader output
1 Correct 106 ms 4052 KB Output is correct
2 Correct 23 ms 4120 KB Output is correct
3 Correct 5 ms 4120 KB Output is correct
4 Correct 6 ms 4052 KB Output is correct
5 Correct 6 ms 4052 KB Output is correct
6 Correct 5 ms 4052 KB Output is correct
7 Correct 61 ms 4100 KB Output is correct
8 Correct 48 ms 4052 KB Output is correct
9 Correct 51 ms 4052 KB Output is correct
10 Correct 43 ms 4052 KB Output is correct
11 Correct 50 ms 4052 KB Output is correct
12 Correct 96 ms 4172 KB Output is correct
13 Correct 21 ms 4124 KB Output is correct
14 Correct 87 ms 4100 KB Output is correct
15 Correct 23 ms 4120 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 120 ms 4096 KB Output is correct
2 Correct 134 ms 4096 KB Output is correct
3 Correct 115 ms 4096 KB Output is correct
4 Correct 100 ms 4104 KB Output is correct
5 Correct 130 ms 4100 KB Output is correct
6 Correct 128 ms 4104 KB Output is correct
7 Correct 165 ms 4052 KB Output is correct
8 Correct 141 ms 4096 KB Output is correct
9 Correct 110 ms 4100 KB Output is correct
10 Correct 336 ms 4100 KB Output is correct
11 Correct 356 ms 4052 KB Output is correct
12 Correct 331 ms 4096 KB Output is correct
13 Correct 380 ms 4100 KB Output is correct
14 Correct 170 ms 4052 KB Output is correct
15 Correct 185 ms 4096 KB Output is correct
16 Correct 170 ms 4104 KB Output is correct
17 Correct 165 ms 4052 KB Output is correct
18 Correct 431 ms 4100 KB Output is correct
19 Correct 335 ms 4096 KB Output is correct
20 Correct 438 ms 4096 KB Output is correct
21 Correct 367 ms 4052 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 70 ms 4052 KB Output is correct
2 Correct 24 ms 4028 KB Output is correct
3 Correct 23 ms 4100 KB Output is correct
4 Correct 18 ms 4120 KB Output is correct
5 Correct 24 ms 4052 KB Output is correct
6 Correct 26 ms 4052 KB Output is correct
7 Correct 27 ms 4052 KB Output is correct
8 Correct 34 ms 4104 KB Output is correct
9 Correct 31 ms 4052 KB Output is correct
10 Correct 59 ms 4100 KB Output is correct
11 Correct 38 ms 4052 KB Output is correct
12 Correct 36 ms 4120 KB Output is correct
13 Correct 39 ms 4100 KB Output is correct
14 Correct 78 ms 4100 KB Output is correct
15 Correct 97 ms 4100 KB Output is correct
16 Correct 90 ms 4052 KB Output is correct
17 Correct 122 ms 4116 KB Output is correct
18 Correct 33 ms 4116 KB Output is correct
19 Correct 29 ms 4052 KB Output is correct
20 Correct 47 ms 4052 KB Output is correct
21 Correct 37 ms 4108 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 238 ms 4100 KB Output is correct
2 Correct 166 ms 4096 KB Output is correct
3 Correct 238 ms 4100 KB Output is correct
4 Correct 163 ms 4052 KB Output is correct
5 Correct 157 ms 4100 KB Output is correct
6 Correct 138 ms 4100 KB Output is correct
7 Correct 145 ms 4104 KB Output is correct
8 Correct 128 ms 4100 KB Output is correct
9 Correct 161 ms 4100 KB Output is correct
10 Correct 442 ms 4100 KB Output is correct
11 Correct 419 ms 4096 KB Output is correct
12 Correct 367 ms 4052 KB Output is correct
13 Correct 409 ms 4100 KB Output is correct
14 Correct 185 ms 4100 KB Output is correct
15 Correct 181 ms 4052 KB Output is correct
16 Correct 197 ms 4104 KB Output is correct
17 Correct 181 ms 4036 KB Output is correct
18 Correct 74 ms 4104 KB Output is correct
19 Correct 70 ms 4108 KB Output is correct
20 Correct 66 ms 4096 KB Output is correct
21 Correct 56 ms 4104 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 106 ms 4052 KB Output is correct
2 Correct 23 ms 4120 KB Output is correct
3 Correct 5 ms 4120 KB Output is correct
4 Correct 6 ms 4052 KB Output is correct
5 Correct 6 ms 4052 KB Output is correct
6 Correct 5 ms 4052 KB Output is correct
7 Correct 61 ms 4100 KB Output is correct
8 Correct 48 ms 4052 KB Output is correct
9 Correct 51 ms 4052 KB Output is correct
10 Correct 43 ms 4052 KB Output is correct
11 Correct 50 ms 4052 KB Output is correct
12 Correct 96 ms 4172 KB Output is correct
13 Correct 21 ms 4124 KB Output is correct
14 Correct 87 ms 4100 KB Output is correct
15 Correct 23 ms 4120 KB Output is correct
16 Correct 120 ms 4096 KB Output is correct
17 Correct 134 ms 4096 KB Output is correct
18 Correct 115 ms 4096 KB Output is correct
19 Correct 100 ms 4104 KB Output is correct
20 Correct 130 ms 4100 KB Output is correct
21 Correct 128 ms 4104 KB Output is correct
22 Correct 165 ms 4052 KB Output is correct
23 Correct 141 ms 4096 KB Output is correct
24 Correct 110 ms 4100 KB Output is correct
25 Correct 336 ms 4100 KB Output is correct
26 Correct 356 ms 4052 KB Output is correct
27 Correct 331 ms 4096 KB Output is correct
28 Correct 380 ms 4100 KB Output is correct
29 Correct 170 ms 4052 KB Output is correct
30 Correct 185 ms 4096 KB Output is correct
31 Correct 170 ms 4104 KB Output is correct
32 Correct 165 ms 4052 KB Output is correct
33 Correct 431 ms 4100 KB Output is correct
34 Correct 335 ms 4096 KB Output is correct
35 Correct 438 ms 4096 KB Output is correct
36 Correct 367 ms 4052 KB Output is correct
37 Correct 70 ms 4052 KB Output is correct
38 Correct 24 ms 4028 KB Output is correct
39 Correct 23 ms 4100 KB Output is correct
40 Correct 18 ms 4120 KB Output is correct
41 Correct 24 ms 4052 KB Output is correct
42 Correct 26 ms 4052 KB Output is correct
43 Correct 27 ms 4052 KB Output is correct
44 Correct 34 ms 4104 KB Output is correct
45 Correct 31 ms 4052 KB Output is correct
46 Correct 59 ms 4100 KB Output is correct
47 Correct 38 ms 4052 KB Output is correct
48 Correct 36 ms 4120 KB Output is correct
49 Correct 39 ms 4100 KB Output is correct
50 Correct 78 ms 4100 KB Output is correct
51 Correct 97 ms 4100 KB Output is correct
52 Correct 90 ms 4052 KB Output is correct
53 Correct 122 ms 4116 KB Output is correct
54 Correct 33 ms 4116 KB Output is correct
55 Correct 29 ms 4052 KB Output is correct
56 Correct 47 ms 4052 KB Output is correct
57 Correct 37 ms 4108 KB Output is correct
58 Correct 238 ms 4100 KB Output is correct
59 Correct 166 ms 4096 KB Output is correct
60 Correct 238 ms 4100 KB Output is correct
61 Correct 163 ms 4052 KB Output is correct
62 Correct 157 ms 4100 KB Output is correct
63 Correct 138 ms 4100 KB Output is correct
64 Correct 145 ms 4104 KB Output is correct
65 Correct 128 ms 4100 KB Output is correct
66 Correct 161 ms 4100 KB Output is correct
67 Correct 442 ms 4100 KB Output is correct
68 Correct 419 ms 4096 KB Output is correct
69 Correct 367 ms 4052 KB Output is correct
70 Correct 409 ms 4100 KB Output is correct
71 Correct 185 ms 4100 KB Output is correct
72 Correct 181 ms 4052 KB Output is correct
73 Correct 197 ms 4104 KB Output is correct
74 Correct 181 ms 4036 KB Output is correct
75 Correct 74 ms 4104 KB Output is correct
76 Correct 70 ms 4108 KB Output is correct
77 Correct 66 ms 4096 KB Output is correct
78 Correct 56 ms 4104 KB Output is correct
79 Correct 183 ms 4104 KB Output is correct
80 Correct 200 ms 4108 KB Output is correct
81 Correct 128 ms 4100 KB Output is correct
82 Correct 131 ms 4100 KB Output is correct
83 Correct 118 ms 4096 KB Output is correct
84 Correct 44 ms 4052 KB Output is correct
85 Correct 62 ms 4100 KB Output is correct
86 Correct 41 ms 4120 KB Output is correct
87 Correct 49 ms 4004 KB Output is correct
88 Correct 261 ms 4100 KB Output is correct
89 Correct 428 ms 4100 KB Output is correct
90 Correct 321 ms 4096 KB Output is correct
91 Correct 330 ms 4052 KB Output is correct
92 Correct 39 ms 4052 KB Output is correct
93 Correct 713 ms 4116 KB Output is correct
94 Correct 767 ms 4096 KB Output is correct
95 Correct 739 ms 4100 KB Output is correct
96 Correct 757 ms 4100 KB Output is correct
97 Correct 748 ms 4100 KB Output is correct
98 Correct 753 ms 4096 KB Output is correct
99 Correct 770 ms 4100 KB Output is correct
100 Correct 757 ms 4104 KB Output is correct