Submission #956784

#TimeUsernameProblemLanguageResultExecution timeMemory
956784GrindMachineBowling (BOI15_bow)C++17
100 / 100
280 ms1824 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a,b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a,b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*



*/

const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

void solve(int test_case)
{
    ll n; cin >> n;
    string s; cin >> s;
    s = "$" + s;
    vector<ll> a(n+5);
    rep1(i,n) cin >> a[i];

    ll m = 30*n+5;
    ll dp1[m+5][15][15], dp2[m+5][15][15];
    memset(dp1,0,sizeof dp1);
    memset(dp2,0,sizeof dp2);
    if(a[n] != -1){
        dp1[a[n]][0][0] = 1;
    }
    else{
        rep(j,m+1){
            dp1[j][0][0] = 1;
        }
    }

    ll ptr = 2*n+1;

    auto ok = [&](string put, string pat){
        assert(sz(put) == sz(pat));
        rep(i,sz(put)){
            if(pat[i] == '?') conts;
            if(put[i] != pat[i]) return false; 
        }

        return true;
    };

    // final stage
    {
        string pat = "";
        rep(iter,3){
            pat.pb(s[ptr--]);
        }

        reverse(all(pat));
        vector<array<ll,3>> possible;

        // xxx
        if(ok("xxx",pat)){
            ll score = 30;
            possible.pb({score,10,10});
        }

        // xxA
        rep(A,10){
            string curr = "xx"+to_string(A);
            if(ok(curr,pat)){
                ll score = 20+A;
                possible.pb({score,10,10});
            }
        }

        // xA/
        rep(A,10){
            string curr = "x"+to_string(A)+"/";
            if(ok(curr,pat)){
                ll score = 20;
                possible.pb({score,10,A});
            }
        }

        // xAB
        rep(A,10){
            rep(B,10){
                if(A+B >= 10) break;
                string curr = "x"+to_string(A)+to_string(B);
                if(ok(curr,pat)){
                    ll score = 10+A+B;
                    possible.pb({score,10,A});
                }
            }
        }

        // A/x
        rep(A,10){
            string curr = to_string(A)+"/x";
            if(ok(curr,pat)){
                ll score = 20;
                possible.pb({score,A,10-A});
            }
        }

        // A/B
        rep(A,10){
            rep(B,10){
                string curr = to_string(A)+"/"+to_string(B);
                if(ok(curr,pat)){
                    ll score = 10+B;
                    possible.pb({score,A,10-A});
                }
            }
        }

        // AB-
        rep(A,10){
            rep(B,10){
                if(A+B >= 10) break;
                string curr = to_string(A)+to_string(B)+"-";
                if(ok(curr,pat)){
                    ll score = A+B;
                    possible.pb({score,A,B});
                }
            }
        }

        rep(j,m+1){
            if(!dp1[j][0][0]) conts;
            for(auto [score,x,y] : possible){
                if(j >= score){
                    dp2[j-score][x][y] += dp1[j][0][0];
                }
            }
        }
    }

    rev(i,n-1,1){
        string pat = "";
        rep(iter,2){
            pat.pb(s[ptr--]);
        }

        reverse(all(pat));

        rep(j,m+1){
            rep(x,11){
                rep(y,11){
                    if(a[i] != -1 and a[i] != j){
                        dp1[j][x][y] = 0;
                    }
                    else{
                        dp1[j][x][y] = dp2[j][x][y];
                    }

                    dp2[j][x][y] = 0;
                }
            }
        }

        rep(x,11){
            rep(y,11){
                vector<array<ll,3>> possible;

                // x-
                if(ok("x-",pat)){
                    ll score = 10+x+y;
                    possible.pb({score,10,x});
                }

                // A/
                rep(A,10){
                    string curr = to_string(A)+"/";
                    if(ok(curr,pat)){
                        ll score = 10+x;
                        possible.pb({score,A,10-A});
                    }
                }

                // AB
                rep(A,10){
                    rep(B,10){
                        if(A+B >= 10) conts;
                        string curr = to_string(A)+to_string(B);
                        if(ok(curr,pat)){
                            ll score = A+B;
                            possible.pb({score,A,B});
                        }
                    }
                }

                rep(j,m+1){
                    if(!dp1[j][x][y]) conts;
                    for(auto [score,x2,y2] : possible){
                        if(j >= score){
                            dp2[j-score][x2][y2] += dp1[j][x][y];
                        }
                    }
                }
            }
        }
    }

    ll ans = 0;
    rep(x,11){
        rep(y,11){
            ans += dp2[0][x][y];
        }
    }

    cout << ans << endl;
}

int main()
{
    fastio;

    int t = 1;
    cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}
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