oj.uz

Submission #728093

# Submission time Handle Problem Language Result Execution time Memory
728093 2023-04-22T01:19:08 Z thomas_li Bowling (BOI15_bow) C++17
100 / 100
 92 ms 6612 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],tmp[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(){
    cin >> n >> s; s = ' ' + s;
    for(int i = 1; i <= n; i++){
        cin >> a[i];
        for(int j = 0; j < 12; j++) for(int k = 0; k < 22; k++){
            memset(dp[i][j][k],0,8*(30*i+1));
        }
    }
    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
            memcpy(tmp,dp[i-1][j+1][k+1],301*8);
            // 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],tmp[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],tmp[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],tmp[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
        memcpy(tmp,dp[n-1][j+1][k+1],301*8);
        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,tmp[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,tmp[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,tmp[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,tmp[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,tmp[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,tmp[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,tmp[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 12 ms 6480 KB Output is correct
2 Correct 14 ms 5844 KB Output is correct
3 Correct 12 ms 5836 KB Output is correct
4 Correct 14 ms 6484 KB Output is correct
5 Correct 17 ms 6568 KB Output is correct
6 Correct 15 ms 6484 KB Output is correct
7 Correct 29 ms 6500 KB Output is correct
8 Correct 21 ms 6484 KB Output is correct
9 Correct 20 ms 6484 KB Output is correct
10 Correct 23 ms 6484 KB Output is correct
11 Correct 33 ms 6568 KB Output is correct
12 Correct 6 ms 1492 KB Output is correct
13 Correct 2 ms 1492 KB Output is correct
14 Correct 6 ms 1492 KB Output is correct
15 Correct 3 ms 1492 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 6484 KB Output is correct
2 Correct 23 ms 6460 KB Output is correct
3 Correct 23 ms 6484 KB Output is correct
4 Correct 26 ms 6576 KB Output is correct
5 Correct 31 ms 6484 KB Output is correct
6 Correct 36 ms 6440 KB Output is correct
7 Correct 37 ms 6552 KB Output is correct
8 Correct 36 ms 6568 KB Output is correct
9 Correct 35 ms 6552 KB Output is correct
10 Correct 63 ms 6548 KB Output is correct
11 Correct 60 ms 6556 KB Output is correct
12 Correct 62 ms 6484 KB Output is correct
13 Correct 56 ms 6552 KB Output is correct
14 Correct 51 ms 6576 KB Output is correct
15 Correct 54 ms 6484 KB Output is correct
16 Correct 52 ms 6484 KB Output is correct
17 Correct 48 ms 6604 KB Output is correct
18 Correct 71 ms 6568 KB Output is correct
19 Correct 57 ms 6552 KB Output is correct
20 Correct 65 ms 6612 KB Output is correct
21 Correct 62 ms 6484 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 6576 KB Output is correct
2 Correct 17 ms 6484 KB Output is correct
3 Correct 16 ms 6484 KB Output is correct
4 Correct 17 ms 6484 KB Output is correct
5 Correct 15 ms 6484 KB Output is correct
6 Correct 25 ms 6548 KB Output is correct
7 Correct 25 ms 6552 KB Output is correct
8 Correct 27 ms 6484 KB Output is correct
9 Correct 25 ms 6484 KB Output is correct
10 Correct 32 ms 6556 KB Output is correct
11 Correct 31 ms 6484 KB Output is correct
12 Correct 31 ms 6484 KB Output is correct
13 Correct 39 ms 6484 KB Output is correct
14 Correct 35 ms 6568 KB Output is correct
15 Correct 40 ms 6484 KB Output is correct
16 Correct 44 ms 6572 KB Output is correct
17 Correct 36 ms 6564 KB Output is correct
18 Correct 24 ms 6484 KB Output is correct
19 Correct 26 ms 6484 KB Output is correct
20 Correct 24 ms 6484 KB Output is correct
21 Correct 26 ms 6484 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 6544 KB Output is correct
2 Correct 23 ms 6484 KB Output is correct
3 Correct 27 ms 6568 KB Output is correct
4 Correct 23 ms 6480 KB Output is correct
5 Correct 23 ms 5952 KB Output is correct
6 Correct 25 ms 6568 KB Output is correct
7 Correct 24 ms 6572 KB Output is correct
8 Correct 21 ms 6456 KB Output is correct
9 Correct 22 ms 6568 KB Output is correct
10 Correct 41 ms 6484 KB Output is correct
11 Correct 41 ms 6484 KB Output is correct
12 Correct 37 ms 6552 KB Output is correct
13 Correct 33 ms 6548 KB Output is correct
14 Correct 41 ms 6484 KB Output is correct
15 Correct 38 ms 6484 KB Output is correct
16 Correct 49 ms 6544 KB Output is correct
17 Correct 45 ms 6484 KB Output is correct
18 Correct 34 ms 6484 KB Output is correct
19 Correct 33 ms 6484 KB Output is correct
20 Correct 36 ms 6548 KB Output is correct
21 Correct 32 ms 6552 KB Output is correct

Subtask #5
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 6480 KB Output is correct
2 Correct 14 ms 5844 KB Output is correct
3 Correct 12 ms 5836 KB Output is correct
4 Correct 14 ms 6484 KB Output is correct
5 Correct 17 ms 6568 KB Output is correct
6 Correct 15 ms 6484 KB Output is correct
7 Correct 29 ms 6500 KB Output is correct
8 Correct 21 ms 6484 KB Output is correct
9 Correct 20 ms 6484 KB Output is correct
10 Correct 23 ms 6484 KB Output is correct
11 Correct 33 ms 6568 KB Output is correct
12 Correct 6 ms 1492 KB Output is correct
13 Correct 2 ms 1492 KB Output is correct
14 Correct 6 ms 1492 KB Output is correct
15 Correct 3 ms 1492 KB Output is correct
16 Correct 21 ms 6484 KB Output is correct
17 Correct 23 ms 6460 KB Output is correct
18 Correct 23 ms 6484 KB Output is correct
19 Correct 26 ms 6576 KB Output is correct
20 Correct 31 ms 6484 KB Output is correct
21 Correct 36 ms 6440 KB Output is correct
22 Correct 37 ms 6552 KB Output is correct
23 Correct 36 ms 6568 KB Output is correct
24 Correct 35 ms 6552 KB Output is correct
25 Correct 63 ms 6548 KB Output is correct
26 Correct 60 ms 6556 KB Output is correct
27 Correct 62 ms 6484 KB Output is correct
28 Correct 56 ms 6552 KB Output is correct
29 Correct 51 ms 6576 KB Output is correct
30 Correct 54 ms 6484 KB Output is correct
31 Correct 52 ms 6484 KB Output is correct
32 Correct 48 ms 6604 KB Output is correct
33 Correct 71 ms 6568 KB Output is correct
34 Correct 57 ms 6552 KB Output is correct
35 Correct 65 ms 6612 KB Output is correct
36 Correct 62 ms 6484 KB Output is correct
37 Correct 12 ms 6576 KB Output is correct
38 Correct 17 ms 6484 KB Output is correct
39 Correct 16 ms 6484 KB Output is correct
40 Correct 17 ms 6484 KB Output is correct
41 Correct 15 ms 6484 KB Output is correct
42 Correct 25 ms 6548 KB Output is correct
43 Correct 25 ms 6552 KB Output is correct
44 Correct 27 ms 6484 KB Output is correct
45 Correct 25 ms 6484 KB Output is correct
46 Correct 32 ms 6556 KB Output is correct
47 Correct 31 ms 6484 KB Output is correct
48 Correct 31 ms 6484 KB Output is correct
49 Correct 39 ms 6484 KB Output is correct
50 Correct 35 ms 6568 KB Output is correct
51 Correct 40 ms 6484 KB Output is correct
52 Correct 44 ms 6572 KB Output is correct
53 Correct 36 ms 6564 KB Output is correct
54 Correct 24 ms 6484 KB Output is correct
55 Correct 26 ms 6484 KB Output is correct
56 Correct 24 ms 6484 KB Output is correct
57 Correct 26 ms 6484 KB Output is correct
58 Correct 34 ms 6544 KB Output is correct
59 Correct 23 ms 6484 KB Output is correct
60 Correct 27 ms 6568 KB Output is correct
61 Correct 23 ms 6480 KB Output is correct
62 Correct 23 ms 5952 KB Output is correct
63 Correct 25 ms 6568 KB Output is correct
64 Correct 24 ms 6572 KB Output is correct
65 Correct 21 ms 6456 KB Output is correct
66 Correct 22 ms 6568 KB Output is correct
67 Correct 41 ms 6484 KB Output is correct
68 Correct 41 ms 6484 KB Output is correct
69 Correct 37 ms 6552 KB Output is correct
70 Correct 33 ms 6548 KB Output is correct
71 Correct 41 ms 6484 KB Output is correct
72 Correct 38 ms 6484 KB Output is correct
73 Correct 49 ms 6544 KB Output is correct
74 Correct 45 ms 6484 KB Output is correct
75 Correct 34 ms 6484 KB Output is correct
76 Correct 33 ms 6484 KB Output is correct
77 Correct 36 ms 6548 KB Output is correct
78 Correct 32 ms 6552 KB Output is correct
79 Correct 27 ms 6484 KB Output is correct
80 Correct 32 ms 6484 KB Output is correct
81 Correct 27 ms 6484 KB Output is correct
82 Correct 29 ms 6484 KB Output is correct
83 Correct 24 ms 6484 KB Output is correct
84 Correct 29 ms 6484 KB Output is correct
85 Correct 30 ms 6460 KB Output is correct
86 Correct 36 ms 6552 KB Output is correct
87 Correct 31 ms 6484 KB Output is correct
88 Correct 60 ms 6552 KB Output is correct
89 Correct 57 ms 6556 KB Output is correct
90 Correct 60 ms 6552 KB Output is correct
91 Correct 58 ms 6556 KB Output is correct
92 Correct 34 ms 6484 KB Output is correct
93 Correct 88 ms 6564 KB Output is correct
94 Correct 85 ms 6552 KB Output is correct
95 Correct 86 ms 6484 KB Output is correct
96 Correct 84 ms 6556 KB Output is correct
97 Correct 89 ms 6484 KB Output is correct
98 Correct 85 ms 6484 KB Output is correct
99 Correct 88 ms 6556 KB Output is correct
100 Correct 92 ms 6484 KB Output is correct