Submission #725501

# Submission time Handle Problem Language Result Execution time Memory
725501 2023-04-17T14:30:07 Z berr Bowling (BOI15_bow) C++17
100 / 100
363 ms 3796 KB
#include <bits/stdc++.h>
using namespace std;
#pragma GCC optimize("O3,unroll-loops")

long long 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;
 
    for(int i = 0; i < n; i++){
        for(int l = 0; l <= 300; l++){
            for(int j = 0; j<=10; j++){
                for(int k = 0; k<=10; k++){
                    dp[i][l][j][k]=0;
                }
            }
        }
    }
 
    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]]++;
                }
            }
        }
    }
 
    long long 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<=ind*30; 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<=ind*30; 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 'int check(std::string, std::string)':
bow.cpp:10:19: warning: comparison of integer expressions of different signedness: '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 'int gs(std::string)':
bow.cpp:22:19: warning: comparison of integer expressions of different signedness: '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 10 ms 3668 KB Output is correct
2 Correct 8 ms 3412 KB Output is correct
3 Correct 3 ms 3412 KB Output is correct
4 Correct 4 ms 3668 KB Output is correct
5 Correct 6 ms 3668 KB Output is correct
6 Correct 5 ms 3668 KB Output is correct
7 Correct 17 ms 3668 KB Output is correct
8 Correct 13 ms 3780 KB Output is correct
9 Correct 15 ms 3668 KB Output is correct
10 Correct 13 ms 3668 KB Output is correct
11 Correct 28 ms 3752 KB Output is correct
12 Correct 7 ms 980 KB Output is correct
13 Correct 2 ms 980 KB Output is correct
14 Correct 6 ms 980 KB Output is correct
15 Correct 2 ms 980 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 45 ms 3796 KB Output is correct
2 Correct 34 ms 3660 KB Output is correct
3 Correct 29 ms 3780 KB Output is correct
4 Correct 29 ms 3732 KB Output is correct
5 Correct 33 ms 3684 KB Output is correct
6 Correct 49 ms 3684 KB Output is correct
7 Correct 46 ms 3668 KB Output is correct
8 Correct 76 ms 3668 KB Output is correct
9 Correct 50 ms 3668 KB Output is correct
10 Correct 133 ms 3756 KB Output is correct
11 Correct 147 ms 3768 KB Output is correct
12 Correct 122 ms 3668 KB Output is correct
13 Correct 136 ms 3756 KB Output is correct
14 Correct 80 ms 3768 KB Output is correct
15 Correct 81 ms 3668 KB Output is correct
16 Correct 68 ms 3668 KB Output is correct
17 Correct 80 ms 3668 KB Output is correct
18 Correct 171 ms 3764 KB Output is correct
19 Correct 146 ms 3756 KB Output is correct
20 Correct 146 ms 3756 KB Output is correct
21 Correct 141 ms 3788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 31 ms 3768 KB Output is correct
2 Correct 12 ms 3668 KB Output is correct
3 Correct 10 ms 3752 KB Output is correct
4 Correct 13 ms 3668 KB Output is correct
5 Correct 8 ms 3668 KB Output is correct
6 Correct 13 ms 3776 KB Output is correct
7 Correct 13 ms 3668 KB Output is correct
8 Correct 20 ms 3780 KB Output is correct
9 Correct 14 ms 3776 KB Output is correct
10 Correct 30 ms 3668 KB Output is correct
11 Correct 21 ms 3776 KB Output is correct
12 Correct 24 ms 3668 KB Output is correct
13 Correct 21 ms 3780 KB Output is correct
14 Correct 26 ms 3760 KB Output is correct
15 Correct 45 ms 3760 KB Output is correct
16 Correct 47 ms 3668 KB Output is correct
17 Correct 41 ms 3752 KB Output is correct
18 Correct 14 ms 3668 KB Output is correct
19 Correct 14 ms 3780 KB Output is correct
20 Correct 19 ms 3776 KB Output is correct
21 Correct 19 ms 3772 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 89 ms 3756 KB Output is correct
2 Correct 52 ms 3764 KB Output is correct
3 Correct 76 ms 3756 KB Output is correct
4 Correct 47 ms 3660 KB Output is correct
5 Correct 41 ms 3412 KB Output is correct
6 Correct 30 ms 3668 KB Output is correct
7 Correct 36 ms 3668 KB Output is correct
8 Correct 38 ms 3668 KB Output is correct
9 Correct 56 ms 3668 KB Output is correct
10 Correct 120 ms 3776 KB Output is correct
11 Correct 116 ms 3760 KB Output is correct
12 Correct 112 ms 3668 KB Output is correct
13 Correct 102 ms 3668 KB Output is correct
14 Correct 72 ms 3668 KB Output is correct
15 Correct 71 ms 3756 KB Output is correct
16 Correct 78 ms 3668 KB Output is correct
17 Correct 82 ms 3756 KB Output is correct
18 Correct 26 ms 3788 KB Output is correct
19 Correct 23 ms 3764 KB Output is correct
20 Correct 36 ms 3756 KB Output is correct
21 Correct 26 ms 3668 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 3668 KB Output is correct
2 Correct 8 ms 3412 KB Output is correct
3 Correct 3 ms 3412 KB Output is correct
4 Correct 4 ms 3668 KB Output is correct
5 Correct 6 ms 3668 KB Output is correct
6 Correct 5 ms 3668 KB Output is correct
7 Correct 17 ms 3668 KB Output is correct
8 Correct 13 ms 3780 KB Output is correct
9 Correct 15 ms 3668 KB Output is correct
10 Correct 13 ms 3668 KB Output is correct
11 Correct 28 ms 3752 KB Output is correct
12 Correct 7 ms 980 KB Output is correct
13 Correct 2 ms 980 KB Output is correct
14 Correct 6 ms 980 KB Output is correct
15 Correct 2 ms 980 KB Output is correct
16 Correct 45 ms 3796 KB Output is correct
17 Correct 34 ms 3660 KB Output is correct
18 Correct 29 ms 3780 KB Output is correct
19 Correct 29 ms 3732 KB Output is correct
20 Correct 33 ms 3684 KB Output is correct
21 Correct 49 ms 3684 KB Output is correct
22 Correct 46 ms 3668 KB Output is correct
23 Correct 76 ms 3668 KB Output is correct
24 Correct 50 ms 3668 KB Output is correct
25 Correct 133 ms 3756 KB Output is correct
26 Correct 147 ms 3768 KB Output is correct
27 Correct 122 ms 3668 KB Output is correct
28 Correct 136 ms 3756 KB Output is correct
29 Correct 80 ms 3768 KB Output is correct
30 Correct 81 ms 3668 KB Output is correct
31 Correct 68 ms 3668 KB Output is correct
32 Correct 80 ms 3668 KB Output is correct
33 Correct 171 ms 3764 KB Output is correct
34 Correct 146 ms 3756 KB Output is correct
35 Correct 146 ms 3756 KB Output is correct
36 Correct 141 ms 3788 KB Output is correct
37 Correct 31 ms 3768 KB Output is correct
38 Correct 12 ms 3668 KB Output is correct
39 Correct 10 ms 3752 KB Output is correct
40 Correct 13 ms 3668 KB Output is correct
41 Correct 8 ms 3668 KB Output is correct
42 Correct 13 ms 3776 KB Output is correct
43 Correct 13 ms 3668 KB Output is correct
44 Correct 20 ms 3780 KB Output is correct
45 Correct 14 ms 3776 KB Output is correct
46 Correct 30 ms 3668 KB Output is correct
47 Correct 21 ms 3776 KB Output is correct
48 Correct 24 ms 3668 KB Output is correct
49 Correct 21 ms 3780 KB Output is correct
50 Correct 26 ms 3760 KB Output is correct
51 Correct 45 ms 3760 KB Output is correct
52 Correct 47 ms 3668 KB Output is correct
53 Correct 41 ms 3752 KB Output is correct
54 Correct 14 ms 3668 KB Output is correct
55 Correct 14 ms 3780 KB Output is correct
56 Correct 19 ms 3776 KB Output is correct
57 Correct 19 ms 3772 KB Output is correct
58 Correct 89 ms 3756 KB Output is correct
59 Correct 52 ms 3764 KB Output is correct
60 Correct 76 ms 3756 KB Output is correct
61 Correct 47 ms 3660 KB Output is correct
62 Correct 41 ms 3412 KB Output is correct
63 Correct 30 ms 3668 KB Output is correct
64 Correct 36 ms 3668 KB Output is correct
65 Correct 38 ms 3668 KB Output is correct
66 Correct 56 ms 3668 KB Output is correct
67 Correct 120 ms 3776 KB Output is correct
68 Correct 116 ms 3760 KB Output is correct
69 Correct 112 ms 3668 KB Output is correct
70 Correct 102 ms 3668 KB Output is correct
71 Correct 72 ms 3668 KB Output is correct
72 Correct 71 ms 3756 KB Output is correct
73 Correct 78 ms 3668 KB Output is correct
74 Correct 82 ms 3756 KB Output is correct
75 Correct 26 ms 3788 KB Output is correct
76 Correct 23 ms 3764 KB Output is correct
77 Correct 36 ms 3756 KB Output is correct
78 Correct 26 ms 3668 KB Output is correct
79 Correct 68 ms 3760 KB Output is correct
80 Correct 56 ms 3756 KB Output is correct
81 Correct 41 ms 3756 KB Output is correct
82 Correct 29 ms 3668 KB Output is correct
83 Correct 20 ms 3780 KB Output is correct
84 Correct 23 ms 3776 KB Output is correct
85 Correct 27 ms 3684 KB Output is correct
86 Correct 19 ms 3668 KB Output is correct
87 Correct 23 ms 3688 KB Output is correct
88 Correct 107 ms 3760 KB Output is correct
89 Correct 132 ms 3756 KB Output is correct
90 Correct 125 ms 3752 KB Output is correct
91 Correct 126 ms 3760 KB Output is correct
92 Correct 15 ms 3780 KB Output is correct
93 Correct 363 ms 3668 KB Output is correct
94 Correct 280 ms 3752 KB Output is correct
95 Correct 331 ms 3756 KB Output is correct
96 Correct 280 ms 3752 KB Output is correct
97 Correct 278 ms 3756 KB Output is correct
98 Correct 311 ms 3764 KB Output is correct
99 Correct 278 ms 3760 KB Output is correct
100 Correct 344 ms 3668 KB Output is correct