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Submission #205661

# Submission time Handle Problem Language Result Execution time Memory
205661 2020-02-29T11:47:03 Z Atill83 Bowling (BOI15_bow) C++14
100 / 100
 739 ms 7164 KB 
#include <bits/stdc++.h>
#define ff first
#define ss second
#define endl '\n'
using namespace std;
const long long INF = (long long) 1e18;
const int mod = (int) 1e9+7;
const int MAXN = (int) 3e5+5;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
ll n;
ll ali[MAXN];

struct turn{
    char a, b, c;
} t[15];

ll dp[15][15][15][305];
bool did[15][15][15][305];

bool isa(char a){
    return (a >= '0' && a <= '9');
}

char table[15] = "0123456789x/-";
ll do_it(int trn, ll needed, ll atis1, ll atis2){        
    if(needed < 0) return 0;
    if(trn == 0 && (needed == 0 || needed == 301)){return 1;}
    if(did[trn][atis1][atis2][needed]){ return dp[trn][atis1][atis2][needed];}
    did[trn][atis1][atis2][needed] = 1;
    int fr = needed;
    if(ali[trn] != -1){
        if(needed == 301){
            needed = ali[trn];
        }else if(needed != ali[trn]){
            return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed]  = 0;
        }
    }
    if(fr != needed){
        if(did[trn][atis1][atis2][needed]){return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed];}
        did[trn][atis1][atis2][needed] = 1;
    }
    turn dis = t[trn];
    if(dis.c == 'h'){
        if(dis.a == '?' && dis.b == '?'){
            ll ans = 0;
            for(int i = 0; i < 10; i++){
                ans += do_it(trn - 1, (needed == 301 ? 301 : needed - 10 - atis1), i, 10 - i);
                for(int j = 0; i + j < 10; j++){
                    ans += do_it(trn - 1, (needed == 301 ? 301 : needed - i - j), i, j);
                }
            }
            ans += do_it(trn - 1, (needed == 301 ? 301 : needed - 10 - atis1 - atis2),10, atis1);
            return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed]  = ans;
        }else if(dis.a == '?'){
            if(dis.b == '/'){
                ll ans = 0;
                for(int i = 0; i < 10; i++){
                    ans += do_it(trn - 1, (needed == 301 ? 301: needed - 10 - atis1), i, 10 - i);
                }
                return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed]  = ans;
            }else if(dis.b == '-'){
                return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed]  = do_it(trn - 1, (needed == 301 ? 301: needed - 10 - atis1 - atis2), 10, atis1);
            }else if(isa(dis.b)){
                ll sec = dis.b - '0';
                ll ans = 0;
                for(int i = 0; i + sec < 10; i++){
                    ans += do_it(trn - 1, (needed == 301 ? 301: needed - sec - i), i, sec);
                }
                return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed]  = ans;
            }else{
                return 0;
            }
        }else if(dis.b == '?'){
            if(dis.a == 'x'){
                return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed]  = do_it(trn - 1, (needed == 301 ? 301: needed - 10 - atis1 - atis2), 10, atis1);
            }else if(isa(dis.a)){
                ll ans = 0;
                ll ilk = dis.a - '0';
                for(int i = 0; i + ilk < 10; i++){
                    ans += do_it(trn - 1,(needed == 301 ? 301: needed - ilk - i), ilk, i);
                }
                ans += do_it(trn - 1, (needed == 301 ? 301: needed - 10 - atis1), ilk, 10 - ilk);
                
                return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed] = ans;
            }else{
                return 0;
            }
        }else{
            if(dis.a == 'x' && dis.b == '-'){
                return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed]  = do_it(trn - 1, (needed == 301 ? 301: needed - 10 - atis1 - atis2), 10, atis1);
            }else if(isa(dis.a) && dis.b == '/'){
                ll ilk = dis.a - '0';
                //cout<<atis1<<" "<<needed<<endl;
                ll ans = do_it(trn - 1, (needed == 301 ? 301: needed - 10 - atis1), ilk, 10 - ilk);
                //cout<<ans<<endl;
                return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed]  =ans;
            }else if(isa(dis.a) && isa(dis.b)){
                ll ilk = dis.a - '0';
                ll iki = dis.b - '0';
                ll ans = do_it(trn - 1, (needed == 301 ? 301: needed -ilk - iki), ilk, iki);
                return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed] = ans;
            }else{
                return 0;
            }
        }
    }else{
        char a, b ,c;
        for(int i = 0; i < (dis.a == '?' ? 11 : 1); i++){
            for(int j = 0; j < (dis.b == '?' ? 12 : 1); j++){
                for(int k = 0; k < (dis.c == '?' ? 13 : 1); k++){
                    if(dis.a == '?'){
                        a = table[i];
                    }else{
                        a = dis.a;
                    }
                    if(dis.b == '?'){
                        b = table[j];
                    }else{
                        b = dis.b;
                    }
                    if(dis.c == '?'){
                        c = table[k];
                    }else{
                        c = dis.c;
                    }
                    if(a == 'x'){
                        if(b == 'x'){
                            if(c == 'x'){
                                ll ans = do_it(trn - 1, (needed == 301 ? 301: needed - 30), 10, 10);
                                //cout<<trn - 1<<" "<<(needed == 301 ? 301: needed - 30)<<endl;
                                //cout<<ans<<endl;
                                dp[trn][atis1][atis2][needed]  += ans;
                                dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed];
                            }
                            else if(isa(c)){
                                ll deg = (int) (c - '0');
                                ll ans = do_it(trn - 1, (needed == 301 ? 301:needed - 20 - deg), 10, 10);
                                
                                dp[trn][atis1][atis2][needed]  += ans;
                                dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed];
                            }
                        }else if(isa(b)){
                            if(c == '/'){
                                ll cur = (int)(b - '0');//xA/
                                ll ans = do_it(trn - 1,(needed == 301 ? 301:needed - 20), 10, cur);
                                //if(ans) cout<<ans<<endl;
                                dp[trn][atis1][atis2][needed]  += ans;
                                dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed];
                            }else if(c >= '0' && c <= '9'){
                                ll ilk = (int)(b - '0');
                                ll iki = (int)(c - '0');
                                ll ans = 0;
                                if(ilk + iki < 10)
                                    ans = do_it(trn - 1, (needed == 301 ? 301: needed - 10 - ilk - iki), 10, ilk);
                                
                                dp[trn][atis1][atis2][needed]  += ans;
                                dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed];
                            }
                        }
                    }else if(isa(a)){
                        if(b == '/'){
                            if(c == 'x'){
                                ll ilk = (int) (a -'0');
                                ll ans = do_it(trn - 1, (needed == 301 ? 301: needed - 20), ilk, 10 - ilk);
                                //cout<<trn<<" "<<a<<" "<<b<<" "<<c<<" "<<ans<<endl;
                                dp[trn][atis1][atis2][needed]  += ans;
                                dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed];
                            }else if(isa(c)){
                                ll ilk = (int) (a - '0');
                                ll iki = (int) (c - '0');
                                ll ans = do_it(trn - 1, (needed == 301 ? 301: needed - 10 - iki), ilk, 10 - ilk);
                                //  cout<<a<<b<<c<<" "<<ans<<endl;
                                dp[trn][atis1][atis2][needed]  += ans;
                                dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed];
                            }
                        }else if(isa(b) && c == '-'){
                            ll ilk = (int) (a - '0');
                            ll iki = (int) (b - '0');
                            ll ans = 0;
                            if(ilk + iki < 10){
                                ans = do_it(trn - 1, (needed == 301 ? 301:needed - ilk - iki), ilk, iki);
                            }
                            dp[trn][atis1][atis2][needed]  += ans;
                            dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed];
                        }
                    }
                }
            }
        }
        return dp[trn][atis1][atis2][fr] = dp[trn][atis1][atis2][needed] ;
    }
}




void solve(){
    ll n;
    cin>>n;
    string s;
    cin>>s;
    for(int i = 1; i <= n; i++){
        cin>>ali[i];
    }
    for(int i = 0; i <= 10; i++){
        for(int j = 0; j <= 14; j++){
            for(int k = 0; k <= 14; k++){
                for(int l = 0; l <= 302; l++){
                    dp[i][j][k][l] = 0;
                    did[i][j][k][l] = 0;
                }
            }
        }
    }
    for(int i = 0; i < 2*n - 2; i += 2){
        t[i/2 + 1] = {s[i], s[i + 1], 'h'}; 
    }
    t[n] = {s[2*n - 2],s[2*n - 1], s[2*n]};
    cout<<do_it(n, 301, 0, 0)<<endl;
}

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);cout.tie(nullptr);

    #ifdef Local
        freopen("../IO/int.txt","r",stdin);
        freopen("../IO/out.txt","w",stdout);
    #endif
    int q;
    cin>>q;
    while(q--){
        solve();
    }
    

    #ifdef Local
        cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
    #endif
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 7160 KB Output is correct
2 Correct 41 ms 7032 KB Output is correct
3 Correct 41 ms 7032 KB Output is correct
4 Correct 40 ms 7032 KB Output is correct
5 Correct 40 ms 7032 KB Output is correct
6 Correct 41 ms 7048 KB Output is correct
7 Correct 41 ms 7032 KB Output is correct
8 Correct 40 ms 7032 KB Output is correct
9 Correct 41 ms 7032 KB Output is correct
10 Correct 40 ms 7032 KB Output is correct
11 Correct 40 ms 7032 KB Output is correct
12 Correct 41 ms 7032 KB Output is correct
13 Correct 15 ms 7032 KB Output is correct
14 Correct 43 ms 7032 KB Output is correct
15 Correct 16 ms 7032 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 7032 KB Output is correct
2 Correct 49 ms 7032 KB Output is correct
3 Correct 52 ms 7084 KB Output is correct
4 Correct 46 ms 7032 KB Output is correct
5 Correct 46 ms 7032 KB Output is correct
6 Correct 50 ms 7032 KB Output is correct
7 Correct 51 ms 7032 KB Output is correct
8 Correct 54 ms 7032 KB Output is correct
9 Correct 46 ms 7032 KB Output is correct
10 Correct 79 ms 7032 KB Output is correct
11 Correct 100 ms 7032 KB Output is correct
12 Correct 73 ms 7032 KB Output is correct
13 Correct 95 ms 7032 KB Output is correct
14 Correct 55 ms 7032 KB Output is correct
15 Correct 51 ms 7044 KB Output is correct
16 Correct 51 ms 7032 KB Output is correct
17 Correct 52 ms 7032 KB Output is correct
18 Correct 95 ms 7160 KB Output is correct
19 Correct 103 ms 7032 KB Output is correct
20 Correct 107 ms 7032 KB Output is correct
21 Correct 109 ms 7032 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 7040 KB Output is correct
2 Correct 43 ms 7032 KB Output is correct
3 Correct 43 ms 7036 KB Output is correct
4 Correct 43 ms 7032 KB Output is correct
5 Correct 40 ms 7088 KB Output is correct
6 Correct 42 ms 7036 KB Output is correct
7 Correct 41 ms 7032 KB Output is correct
8 Correct 46 ms 7032 KB Output is correct
9 Correct 43 ms 7032 KB Output is correct
10 Correct 44 ms 7032 KB Output is correct
11 Correct 43 ms 7032 KB Output is correct
12 Correct 43 ms 7036 KB Output is correct
13 Correct 44 ms 7032 KB Output is correct
14 Correct 43 ms 7032 KB Output is correct
15 Correct 43 ms 7032 KB Output is correct
16 Correct 43 ms 7032 KB Output is correct
17 Correct 46 ms 7096 KB Output is correct
18 Correct 43 ms 7032 KB Output is correct
19 Correct 41 ms 7032 KB Output is correct
20 Correct 42 ms 7044 KB Output is correct
21 Correct 41 ms 7032 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 7136 KB Output is correct
2 Correct 47 ms 7032 KB Output is correct
3 Correct 44 ms 7032 KB Output is correct
4 Correct 41 ms 7032 KB Output is correct
5 Correct 43 ms 7032 KB Output is correct
6 Correct 44 ms 7032 KB Output is correct
7 Correct 45 ms 7160 KB Output is correct
8 Correct 44 ms 7032 KB Output is correct
9 Correct 46 ms 7032 KB Output is correct
10 Correct 58 ms 7032 KB Output is correct
11 Correct 54 ms 7032 KB Output is correct
12 Correct 54 ms 7032 KB Output is correct
13 Correct 51 ms 7032 KB Output is correct
14 Correct 42 ms 7032 KB Output is correct
15 Correct 43 ms 7032 KB Output is correct
16 Correct 47 ms 7032 KB Output is correct
17 Correct 44 ms 7032 KB Output is correct
18 Correct 41 ms 7032 KB Output is correct
19 Correct 41 ms 7032 KB Output is correct
20 Correct 44 ms 7032 KB Output is correct
21 Correct 40 ms 7032 KB Output is correct

Subtask #5
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 41 ms 7160 KB Output is correct
2 Correct 41 ms 7032 KB Output is correct
3 Correct 41 ms 7032 KB Output is correct
4 Correct 40 ms 7032 KB Output is correct
5 Correct 40 ms 7032 KB Output is correct
6 Correct 41 ms 7048 KB Output is correct
7 Correct 41 ms 7032 KB Output is correct
8 Correct 40 ms 7032 KB Output is correct
9 Correct 41 ms 7032 KB Output is correct
10 Correct 40 ms 7032 KB Output is correct
11 Correct 40 ms 7032 KB Output is correct
12 Correct 41 ms 7032 KB Output is correct
13 Correct 15 ms 7032 KB Output is correct
14 Correct 43 ms 7032 KB Output is correct
15 Correct 16 ms 7032 KB Output is correct
16 Correct 30 ms 7032 KB Output is correct
17 Correct 49 ms 7032 KB Output is correct
18 Correct 52 ms 7084 KB Output is correct
19 Correct 46 ms 7032 KB Output is correct
20 Correct 46 ms 7032 KB Output is correct
21 Correct 50 ms 7032 KB Output is correct
22 Correct 51 ms 7032 KB Output is correct
23 Correct 54 ms 7032 KB Output is correct
24 Correct 46 ms 7032 KB Output is correct
25 Correct 79 ms 7032 KB Output is correct
26 Correct 100 ms 7032 KB Output is correct
27 Correct 73 ms 7032 KB Output is correct
28 Correct 95 ms 7032 KB Output is correct
29 Correct 55 ms 7032 KB Output is correct
30 Correct 51 ms 7044 KB Output is correct
31 Correct 51 ms 7032 KB Output is correct
32 Correct 52 ms 7032 KB Output is correct
33 Correct 95 ms 7160 KB Output is correct
34 Correct 103 ms 7032 KB Output is correct
35 Correct 107 ms 7032 KB Output is correct
36 Correct 109 ms 7032 KB Output is correct
37 Correct 21 ms 7040 KB Output is correct
38 Correct 43 ms 7032 KB Output is correct
39 Correct 43 ms 7036 KB Output is correct
40 Correct 43 ms 7032 KB Output is correct
41 Correct 40 ms 7088 KB Output is correct
42 Correct 42 ms 7036 KB Output is correct
43 Correct 41 ms 7032 KB Output is correct
44 Correct 46 ms 7032 KB Output is correct
45 Correct 43 ms 7032 KB Output is correct
46 Correct 44 ms 7032 KB Output is correct
47 Correct 43 ms 7032 KB Output is correct
48 Correct 43 ms 7036 KB Output is correct
49 Correct 44 ms 7032 KB Output is correct
50 Correct 43 ms 7032 KB Output is correct
51 Correct 43 ms 7032 KB Output is correct
52 Correct 43 ms 7032 KB Output is correct
53 Correct 46 ms 7096 KB Output is correct
54 Correct 43 ms 7032 KB Output is correct
55 Correct 41 ms 7032 KB Output is correct
56 Correct 42 ms 7044 KB Output is correct
57 Correct 41 ms 7032 KB Output is correct
58 Correct 39 ms 7136 KB Output is correct
59 Correct 47 ms 7032 KB Output is correct
60 Correct 44 ms 7032 KB Output is correct
61 Correct 41 ms 7032 KB Output is correct
62 Correct 43 ms 7032 KB Output is correct
63 Correct 44 ms 7032 KB Output is correct
64 Correct 45 ms 7160 KB Output is correct
65 Correct 44 ms 7032 KB Output is correct
66 Correct 46 ms 7032 KB Output is correct
67 Correct 58 ms 7032 KB Output is correct
68 Correct 54 ms 7032 KB Output is correct
69 Correct 54 ms 7032 KB Output is correct
70 Correct 51 ms 7032 KB Output is correct
71 Correct 42 ms 7032 KB Output is correct
72 Correct 43 ms 7032 KB Output is correct
73 Correct 47 ms 7032 KB Output is correct
74 Correct 44 ms 7032 KB Output is correct
75 Correct 41 ms 7032 KB Output is correct
76 Correct 41 ms 7032 KB Output is correct
77 Correct 44 ms 7032 KB Output is correct
78 Correct 40 ms 7032 KB Output is correct
79 Correct 35 ms 7032 KB Output is correct
80 Correct 57 ms 7032 KB Output is correct
81 Correct 60 ms 7032 KB Output is correct
82 Correct 45 ms 7032 KB Output is correct
83 Correct 50 ms 7032 KB Output is correct
84 Correct 42 ms 7032 KB Output is correct
85 Correct 48 ms 7032 KB Output is correct
86 Correct 41 ms 7032 KB Output is correct
87 Correct 43 ms 7032 KB Output is correct
88 Correct 60 ms 7032 KB Output is correct
89 Correct 86 ms 7032 KB Output is correct
90 Correct 81 ms 7032 KB Output is correct
91 Correct 77 ms 7032 KB Output is correct
92 Correct 41 ms 7032 KB Output is correct
93 Correct 74 ms 7032 KB Output is correct
94 Correct 190 ms 7164 KB Output is correct
95 Correct 306 ms 7052 KB Output is correct
96 Correct 405 ms 7164 KB Output is correct
97 Correct 700 ms 7048 KB Output is correct
98 Correct 739 ms 7160 KB Output is correct
99 Correct 729 ms 7160 KB Output is correct
100 Correct 732 ms 7160 KB Output is correct