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Submission #728090

# Submission time Handle Problem Language Result Execution time Memory
728090 2023-04-22T01:13:04 Z thomas_li Bowling (BOI15_bow) C++17
100 / 100
 54 ms 7268 KB 
//#pragma GCC optimize("Ofast,unroll-loops")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
using namespace std;
string rk = "x-"; vector<string> spstr,rgstr;
string c1 = "xxx";
vector<string> c2,c3,c4,c5,c6,c7;
int n,a[11]; int64_t dp[11][12][22][301]; // first i frames, carry amount from previous i, carry amount from i, score after i
                                          // carry is -1 if we don't add
string s;

bool canrg[10][10];
void solve(){
    memset(dp,0,sizeof dp);
    cin >> n >> s; s = ' ' + s;
    for(int i = 1; i <= n; i++) cin >> a[i];
    auto can = [&](int i, string& t){
        assert(t.size() == 2);
        for(int j = 0; j < 2; j++){
            char c = s[i+j]; if(c == '?') continue;
            if(c != t[j]) return false;
        }
        return true;
    };
    auto can1 = [&](int i, string& t){
        assert(t.size() == 3);
        for(int j = 0; j < 3; j++){
            char c = s[i+j];
            if(c == '?') continue;
            if(c != t[j]) return false;
        }
        return true;
    };
    dp[0][0][0][0] = 1;
    auto add = [&](int64_t& x, int64_t y){
        x = (x+y);
    };
    // solve normal
    for(int i = 1; i <= n-1; i++){
        // generate good strings
        bool grk = can(2*i-1,rk);
        vector<string> gsp,grg;  
        for(auto& t : spstr) if(can(2*i-1,t)) gsp.push_back(t);
        for(auto& t : rgstr) if(can(2*i-1,t)) grg.push_back(t);
        swap(gsp,spstr);
        swap(grg,rgstr);
        int lo = 0, hi = 30*i;
        if(a[i] != -1) lo = hi = a[i];           
        for(int j = -1; j <= 10; j++) for(int k = -1; k <= 20; k++){ // previous previous, previous carries
            // strike
            // our shot needs to make j zero, k non negative
            if(grk && (j == -1 || j-10 == 0) && (k == -1 || (k-10 >= 0 && k-10 <= 10))){
                int nk = (k == -1 ? -1 : k-10);
                // we can gain some more from carries if needed 
                for(int gain = 0; gain <= 20; gain++){
                    // l >= gain+10
                    //if(l-gain-10 < 0) break;
                    for(int l = max(lo,gain+10); l <= hi; l++) add(dp[i][nk+1][gain+1][l],dp[i-1][j+1][k+1][l-gain-10]);
                }
            }     
            // spare
            if(k == -1 || k-10 == 0){
                // TODO: opt break
                for(auto& t : spstr){
                    // previous previous gets subtracted by fs, previous gets subtracted by 10
                    // both are gone after this frame, so need to become 0
                    int fs = t[0]-'0';
                    if(j != -1 && j-fs != 0) continue;
                    for(int gain = 0; gain <= 10; gain++){
                        //if(l-gain-10 < 0) break;
                        // add to previous slot to satisfy one bonus feature
                        for(int l = max(lo,gain+10); l <= hi; l++) add(dp[i][gain+1][0][l],dp[i-1][j+1][k+1][l-gain-10]);
                    }
                }
            }
            // regular
            for(auto& t : rgstr){
                // previous previous gets subtracted by fs, previous gets subtracted by sn+fs
                // both are gone after this frame, so need to become 0
                int fs = t[0]-'0',sn = t[1]-'0';
                if(j != -1 && j-fs != 0) continue;
                if(k != -1 && k-fs-sn != 0) continue;
                //if(l-fs-sn < 0) continue;
                for(int l = max(lo,fs+sn); l <= hi; l++) add(dp[i][0][0][l],dp[i-1][j+1][k+1][l-fs-sn]);
            }
        }
        swap(gsp,spstr);
        swap(grg,rgstr);
    }
    // solve last
    // preprocess equalities
    vector<string> gc2,gc3,gc4,gc5,gc6,gc7;
    for(auto& t : c2) if(can1(2*n-1,t)) gc2.push_back(t);
    for(auto& t : c3) if(can1(2*n-1,t)) gc3.push_back(t);
    for(auto& t : c4) if(can1(2*n-1,t)) gc4.push_back(t);
    for(auto& t : c5) if(can1(2*n-1,t)) gc5.push_back(t);
    for(auto& t : c6) if(can1(2*n-1,t)) gc6.push_back(t);
    for(auto& t : c7) if(can1(2*n-1,t)) gc7.push_back(t);
    bool gc1 = can1(2*n-1,c1);
    swap(gc2,c2);
    swap(gc3,c3);
    swap(gc4,c4);
    swap(gc5,c5);
    swap(gc6,c6);
    swap(gc7,c7);
    int64_t res = 0;
    int lo = 0, hi = 300;
    if(a[n] != -1) lo = hi = a[n];
    for(int j = -1; j <= 10; j++) for(int k = -1; k <= 20; k++){ // previous previous, previous carries


        if((j == -1 || j-10 == 0) && (k == -1 || k-20 == 0)){
            // xxx 
            if(gc1) for(int l = max(lo,30); l <= hi; l++) add(res,dp[n-1][j+1][k+1][l-30]);
            // xxA  
            // condition is same since bonus is only contributed in the first two shots
            for(auto& t : c2) {
                int ls = t[2]-'0'; 
                for(int l = max(lo,20+ls); l <= hi; l++) add(res,dp[n-1][j+1][k+1][l-20-ls]);
            }
        }
        if((j == -1 || j-10 == 0)){
            // xA/
            for(auto& t : c3) {
                int fs = t[1]-'0';
                if(k != -1 && k-10-fs != 0) continue; 
                for(int l = max(lo,20); l <= hi; l++) add(res,dp[n-1][j+1][k+1][l-20]);
            }
        }
        // xAB
        for(auto& t : c4){
            int fs = t[1]-'0',sn = t[2]-'0';
            if(j != -1 && j-10 != 0) continue; 
            if(k != -1 && k-10-fs != 0) continue; 
            for(int l = max(lo,10+fs+sn); l <= hi; l++) add(res,dp[n-1][j+1][k+1][l-10-fs-sn]);
        }

        if(k == -1 || k-10 == 0){
            // A/x
            for(auto& t : c5) {
                int fs = t[0]-'0'; 
                if(j != -1 && j-fs != 0) continue;
                for(int l = max(lo,20); l <= hi; l++) add(res,dp[n-1][j+1][k+1][l-20]);
            }
            // A/B
            for(auto& t : c6) if(k == -1 || k-10 == 0){
                int fs = t[0]-'0',ls = t[2]-'0'; 
                if(j != -1 && j-fs != 0) continue;
                for(int l = max(lo,10+ls); l <= hi; l++) add(res,dp[n-1][j+1][k+1][l-10-ls]);
            }
        }
        // AB-
        for(auto& t : c7){
            int fs = t[0]-'0',sn = t[1]-'0'; 
            if(j != -1 && j-fs != 0) continue;
            if(k != -1 && k-fs-sn != 0) continue;
            for(int l = max(lo,fs+sn); l <= hi; l++) add(res,dp[n-1][j+1][k+1][l-fs-sn]);
        }
    }
    swap(gc2,c2);
    swap(gc3,c3);
    swap(gc4,c4);
    swap(gc5,c5);
    swap(gc6,c6);
    swap(gc7,c7);
    cout << res << "\n";
}
int main(){
    cin.tie(0)->sync_with_stdio(0);
    for(int i = 0; i <= 9; i++){
        spstr.push_back(to_string(i) + "/");
        c2.push_back("xx"+to_string(i));
        c3.push_back("x"+to_string(i)+"/");
        for(int j = 0; i+j < 10; j++){
            rgstr.push_back(to_string(i)+to_string(j));
            c4.push_back("x"+to_string(i)+to_string(j));
            c7.push_back(to_string(i)+to_string(j)+"-");
        }
        c5.push_back(to_string(i)+"/x");
        for(int j = 0; j <= 9; j++){
            c6.push_back(to_string(i)+"/"+to_string(j));
        }
    }
    int t; cin >> t; while(t--) solve();
}
// number of strs for frame: 10 + 1 + 10
// 5726805883325784576

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 7124 KB Output is correct
2 Correct 14 ms 7124 KB Output is correct
3 Correct 13 ms 7192 KB Output is correct
4 Correct 10 ms 7124 KB Output is correct
5 Correct 10 ms 7196 KB Output is correct
6 Correct 12 ms 7192 KB Output is correct
7 Correct 15 ms 7184 KB Output is correct
8 Correct 15 ms 7268 KB Output is correct
9 Correct 13 ms 7124 KB Output is correct
10 Correct 18 ms 7124 KB Output is correct
11 Correct 16 ms 7196 KB Output is correct
12 Correct 15 ms 7124 KB Output is correct
13 Correct 5 ms 7124 KB Output is correct
14 Correct 14 ms 7160 KB Output is correct
15 Correct 5 ms 7124 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 7188 KB Output is correct
2 Correct 20 ms 7124 KB Output is correct
3 Correct 21 ms 7192 KB Output is correct
4 Correct 20 ms 7192 KB Output is correct
5 Correct 20 ms 7188 KB Output is correct
6 Correct 18 ms 7124 KB Output is correct
7 Correct 18 ms 7188 KB Output is correct
8 Correct 19 ms 7188 KB Output is correct
9 Correct 17 ms 7124 KB Output is correct
10 Correct 30 ms 7216 KB Output is correct
11 Correct 28 ms 7124 KB Output is correct
12 Correct 31 ms 7124 KB Output is correct
13 Correct 47 ms 7124 KB Output is correct
14 Correct 30 ms 7124 KB Output is correct
15 Correct 29 ms 7172 KB Output is correct
16 Correct 26 ms 7184 KB Output is correct
17 Correct 27 ms 7156 KB Output is correct
18 Correct 27 ms 7172 KB Output is correct
19 Correct 26 ms 7124 KB Output is correct
20 Correct 28 ms 7124 KB Output is correct
21 Correct 28 ms 7188 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 7252 KB Output is correct
2 Correct 15 ms 7188 KB Output is correct
3 Correct 13 ms 7196 KB Output is correct
4 Correct 17 ms 7196 KB Output is correct
5 Correct 14 ms 7124 KB Output is correct
6 Correct 14 ms 7124 KB Output is correct
7 Correct 14 ms 7124 KB Output is correct
8 Correct 13 ms 7124 KB Output is correct
9 Correct 14 ms 7124 KB Output is correct
10 Correct 20 ms 7124 KB Output is correct
11 Correct 20 ms 7192 KB Output is correct
12 Correct 19 ms 7184 KB Output is correct
13 Correct 19 ms 7124 KB Output is correct
14 Correct 19 ms 7124 KB Output is correct
15 Correct 19 ms 7124 KB Output is correct
16 Correct 24 ms 7252 KB Output is correct
17 Correct 20 ms 7124 KB Output is correct
18 Correct 11 ms 7188 KB Output is correct
19 Correct 18 ms 7124 KB Output is correct
20 Correct 18 ms 7188 KB Output is correct
21 Correct 18 ms 7184 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 7184 KB Output is correct
2 Correct 16 ms 7124 KB Output is correct
3 Correct 16 ms 7188 KB Output is correct
4 Correct 15 ms 7180 KB Output is correct
5 Correct 14 ms 7124 KB Output is correct
6 Correct 17 ms 7184 KB Output is correct
7 Correct 15 ms 7124 KB Output is correct
8 Correct 14 ms 7192 KB Output is correct
9 Correct 14 ms 7188 KB Output is correct
10 Correct 24 ms 7252 KB Output is correct
11 Correct 26 ms 7184 KB Output is correct
12 Correct 27 ms 7124 KB Output is correct
13 Correct 25 ms 7188 KB Output is correct
14 Correct 22 ms 7192 KB Output is correct
15 Correct 19 ms 7124 KB Output is correct
16 Correct 22 ms 7076 KB Output is correct
17 Correct 20 ms 7124 KB Output is correct
18 Correct 17 ms 7192 KB Output is correct
19 Correct 15 ms 7184 KB Output is correct
20 Correct 16 ms 7124 KB Output is correct
21 Correct 15 ms 7184 KB Output is correct

Subtask #5
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 7124 KB Output is correct
2 Correct 14 ms 7124 KB Output is correct
3 Correct 13 ms 7192 KB Output is correct
4 Correct 10 ms 7124 KB Output is correct
5 Correct 10 ms 7196 KB Output is correct
6 Correct 12 ms 7192 KB Output is correct
7 Correct 15 ms 7184 KB Output is correct
8 Correct 15 ms 7268 KB Output is correct
9 Correct 13 ms 7124 KB Output is correct
10 Correct 18 ms 7124 KB Output is correct
11 Correct 16 ms 7196 KB Output is correct
12 Correct 15 ms 7124 KB Output is correct
13 Correct 5 ms 7124 KB Output is correct
14 Correct 14 ms 7160 KB Output is correct
15 Correct 5 ms 7124 KB Output is correct
16 Correct 16 ms 7188 KB Output is correct
17 Correct 20 ms 7124 KB Output is correct
18 Correct 21 ms 7192 KB Output is correct
19 Correct 20 ms 7192 KB Output is correct
20 Correct 20 ms 7188 KB Output is correct
21 Correct 18 ms 7124 KB Output is correct
22 Correct 18 ms 7188 KB Output is correct
23 Correct 19 ms 7188 KB Output is correct
24 Correct 17 ms 7124 KB Output is correct
25 Correct 30 ms 7216 KB Output is correct
26 Correct 28 ms 7124 KB Output is correct
27 Correct 31 ms 7124 KB Output is correct
28 Correct 47 ms 7124 KB Output is correct
29 Correct 30 ms 7124 KB Output is correct
30 Correct 29 ms 7172 KB Output is correct
31 Correct 26 ms 7184 KB Output is correct
32 Correct 27 ms 7156 KB Output is correct
33 Correct 27 ms 7172 KB Output is correct
34 Correct 26 ms 7124 KB Output is correct
35 Correct 28 ms 7124 KB Output is correct
36 Correct 28 ms 7188 KB Output is correct
37 Correct 12 ms 7252 KB Output is correct
38 Correct 15 ms 7188 KB Output is correct
39 Correct 13 ms 7196 KB Output is correct
40 Correct 17 ms 7196 KB Output is correct
41 Correct 14 ms 7124 KB Output is correct
42 Correct 14 ms 7124 KB Output is correct
43 Correct 14 ms 7124 KB Output is correct
44 Correct 13 ms 7124 KB Output is correct
45 Correct 14 ms 7124 KB Output is correct
46 Correct 20 ms 7124 KB Output is correct
47 Correct 20 ms 7192 KB Output is correct
48 Correct 19 ms 7184 KB Output is correct
49 Correct 19 ms 7124 KB Output is correct
50 Correct 19 ms 7124 KB Output is correct
51 Correct 19 ms 7124 KB Output is correct
52 Correct 24 ms 7252 KB Output is correct
53 Correct 20 ms 7124 KB Output is correct
54 Correct 11 ms 7188 KB Output is correct
55 Correct 18 ms 7124 KB Output is correct
56 Correct 18 ms 7188 KB Output is correct
57 Correct 18 ms 7184 KB Output is correct
58 Correct 21 ms 7184 KB Output is correct
59 Correct 16 ms 7124 KB Output is correct
60 Correct 16 ms 7188 KB Output is correct
61 Correct 15 ms 7180 KB Output is correct
62 Correct 14 ms 7124 KB Output is correct
63 Correct 17 ms 7184 KB Output is correct
64 Correct 15 ms 7124 KB Output is correct
65 Correct 14 ms 7192 KB Output is correct
66 Correct 14 ms 7188 KB Output is correct
67 Correct 24 ms 7252 KB Output is correct
68 Correct 26 ms 7184 KB Output is correct
69 Correct 27 ms 7124 KB Output is correct
70 Correct 25 ms 7188 KB Output is correct
71 Correct 22 ms 7192 KB Output is correct
72 Correct 19 ms 7124 KB Output is correct
73 Correct 22 ms 7076 KB Output is correct
74 Correct 20 ms 7124 KB Output is correct
75 Correct 17 ms 7192 KB Output is correct
76 Correct 15 ms 7184 KB Output is correct
77 Correct 16 ms 7124 KB Output is correct
78 Correct 15 ms 7184 KB Output is correct
79 Correct 14 ms 7124 KB Output is correct
80 Correct 29 ms 7124 KB Output is correct
81 Correct 19 ms 7192 KB Output is correct
82 Correct 21 ms 7188 KB Output is correct
83 Correct 20 ms 7124 KB Output is correct
84 Correct 21 ms 7188 KB Output is correct
85 Correct 18 ms 7196 KB Output is correct
86 Correct 18 ms 7184 KB Output is correct
87 Correct 19 ms 7124 KB Output is correct
88 Correct 26 ms 7168 KB Output is correct
89 Correct 27 ms 7124 KB Output is correct
90 Correct 26 ms 7124 KB Output is correct
91 Correct 26 ms 7124 KB Output is correct
92 Correct 17 ms 7184 KB Output is correct
93 Correct 40 ms 7124 KB Output is correct
94 Correct 40 ms 7124 KB Output is correct
95 Correct 43 ms 7168 KB Output is correct
96 Correct 43 ms 7124 KB Output is correct
97 Correct 54 ms 7176 KB Output is correct
98 Correct 52 ms 7124 KB Output is correct
99 Correct 42 ms 7124 KB Output is correct
100 Correct 49 ms 7244 KB Output is correct