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Submission #728081

# Submission time Handle Problem Language Result Execution time Memory
728081 2023-04-22T00:35:03 Z thomas_li Bowling (BOI15_bow) C++17
82 / 100
 1000 ms 12992 KB 
// yolo
#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][22][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;

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);
        for(int j = -1; j <= 10; j++) for(int k = -1; k <= 20; k++){ // previous previous, previous carries
            int lo = 0, hi = 270;
            if(a[i] != -1) lo = hi = a[i];           
            for(int l = lo; l <= hi; l++){ // cur score
                // 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))){
                    // we can gain some more from carries if needed 
                    for(int gain = 0; gain <= 20; gain++){
                        if(l-gain-10 < 0) break;
                        int nk = (k == -1 ? -1 : k-10);
                        add(dp[i][nk+1][gain+1][l],dp[i-1][j+1][k+1][l-gain-10]);
                    }
                }     
                // spare
                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',sn = 10;
                    if(j != -1 && j-fs != 0) continue;
                    if(k != -1 && k-sn != 0) continue;
                    for(int gain = 0; gain <= 10; gain++){
                        if(l-gain-10 < 0) continue;
                        // add to previous slot to satisfy one bonus feature (in theory)
                        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;
                    add(dp[i][0][0][l],dp[i-1][j+1][k+1][l-fs-sn]);
                }
                /*
                bool good = 0;
                for(int z = 0; z <= 20 && !good; z++) for(int w = 0; w <= 20; w++) if(dp[i][z][w][l]){
                    good = 1;
                    break;
                }
                if(good) cout << l << " " << i << "\n";  */
            }
        }
        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 ans = 0;
    for(int j = -1; j <= 10; j++) for(int k = -1; k <= 20; k++){ // previous previous, previous carries
        int lo = 0, hi = 300;
        if(a[n] != -1) lo = hi = a[n];
        for(int l = lo; l <= hi; l++){
            int64_t res = 0;
            // xxx 
            if(gc1 && (j == -1 || j-10 == 0) && (k == -1 || k-20 == 0) && l-30 >= 0){
                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){
                if(j != -1 && j-10 != 0) continue; 
                if(k != -1 && k-20 != 0) continue; 
                int ls = t[2]-'0'; 
                if(l-20-ls < 0) continue; 
                add(res,dp[n-1][j+1][k+1][l-20-ls]);
            }
            // xA/
            for(auto& t : c3){
                int fs = t[1]-'0',sn = 10-fs;
                if(j != -1 && j-10 != 0) continue; 
                if(k != -1 && k-10-fs != 0) continue; 
                if(l-20 < 0) continue;
                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; 
                if(l-10-fs-sn < 0) continue;
                add(res,dp[n-1][j+1][k+1][l-10-fs-sn]);
            }
            // A/x
            for(auto& t : c5){
                int fs = t[0]-'0'; 
                if(j != -1 && j-fs != 0) continue;
                if(k != -1 && k-10 != 0) continue;
                if(l-20 < 0) continue;
                add(res,dp[n-1][j+1][k+1][l-20]);
            }
            // A/B
            for(auto& t : c6){
                int fs = t[0]-'0',ls = t[2]-'0'; 
                if(j != -1 && j-fs != 0) continue;
                if(k != -1 && k-10 != 0) continue;
                if(l-10-ls < 0) continue;
                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;
                if(l-fs-sn < 0) continue;
                add(res,dp[n-1][j+1][k+1][l-fs-sn]);
            }
            ans += res;
        }
    }
    swap(gc2,c2);
    swap(gc3,c3);
    swap(gc4,c4);
    swap(gc5,c5);
    swap(gc6,c6);
    swap(gc7,c7);
    cout << ans << "\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

Compilation message

bow.cpp: In function 'void solve()':
bow.cpp:133:35: warning: unused variable 'sn' [-Wunused-variable]
  133 |                 int fs = t[1]-'0',sn = 10-fs;
      |                                   ^~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 144 ms 12884 KB Output is correct
2 Correct 84 ms 12884 KB Output is correct
3 Correct 35 ms 12756 KB Output is correct
4 Correct 36 ms 12884 KB Output is correct
5 Correct 41 ms 12884 KB Output is correct
6 Correct 36 ms 12884 KB Output is correct
7 Correct 160 ms 12872 KB Output is correct
8 Correct 153 ms 12884 KB Output is correct
9 Correct 149 ms 12756 KB Output is correct
10 Correct 144 ms 12888 KB Output is correct
11 Correct 143 ms 12868 KB Output is correct
12 Correct 159 ms 12884 KB Output is correct
13 Correct 34 ms 12892 KB Output is correct
14 Correct 153 ms 12892 KB Output is correct
15 Correct 40 ms 12884 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 211 ms 12948 KB Output is correct
2 Correct 239 ms 12908 KB Output is correct
3 Correct 205 ms 12884 KB Output is correct
4 Correct 197 ms 12884 KB Output is correct
5 Correct 277 ms 12888 KB Output is correct
6 Correct 265 ms 12884 KB Output is correct
7 Correct 258 ms 12884 KB Output is correct
8 Correct 266 ms 12864 KB Output is correct
9 Correct 223 ms 12868 KB Output is correct
10 Correct 599 ms 12884 KB Output is correct
11 Correct 572 ms 12884 KB Output is correct
12 Correct 575 ms 12876 KB Output is correct
13 Correct 605 ms 12880 KB Output is correct
14 Correct 339 ms 12880 KB Output is correct
15 Correct 357 ms 12888 KB Output is correct
16 Correct 379 ms 12884 KB Output is correct
17 Correct 339 ms 12876 KB Output is correct
18 Correct 647 ms 12868 KB Output is correct
19 Correct 597 ms 12992 KB Output is correct
20 Correct 679 ms 12876 KB Output is correct
21 Correct 677 ms 12884 KB Output is correct

Subtask #3
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 110 ms 12884 KB Output is correct
2 Correct 78 ms 12880 KB Output is correct
3 Correct 81 ms 12884 KB Output is correct
4 Correct 70 ms 12884 KB Output is correct
5 Correct 89 ms 12884 KB Output is correct
6 Correct 76 ms 12892 KB Output is correct
7 Correct 89 ms 12884 KB Output is correct
8 Correct 98 ms 12884 KB Output is correct
9 Correct 81 ms 12884 KB Output is correct
10 Correct 113 ms 12884 KB Output is correct
11 Correct 85 ms 12888 KB Output is correct
12 Correct 83 ms 12868 KB Output is correct
13 Correct 77 ms 12884 KB Output is correct
14 Correct 184 ms 12884 KB Output is correct
15 Correct 197 ms 12888 KB Output is correct
16 Correct 196 ms 12884 KB Output is correct
17 Correct 201 ms 12884 KB Output is correct
18 Correct 86 ms 12884 KB Output is correct
19 Correct 85 ms 12884 KB Output is correct
20 Correct 104 ms 12888 KB Output is correct
21 Correct 99 ms 12884 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 292 ms 12884 KB Output is correct
2 Correct 289 ms 12884 KB Output is correct
3 Correct 340 ms 12868 KB Output is correct
4 Correct 282 ms 12884 KB Output is correct
5 Correct 277 ms 12884 KB Output is correct
6 Correct 218 ms 12884 KB Output is correct
7 Correct 250 ms 12884 KB Output is correct
8 Correct 232 ms 12884 KB Output is correct
9 Correct 246 ms 12880 KB Output is correct
10 Correct 654 ms 12864 KB Output is correct
11 Correct 593 ms 12964 KB Output is correct
12 Correct 567 ms 12884 KB Output is correct
13 Correct 559 ms 12884 KB Output is correct
14 Correct 313 ms 12864 KB Output is correct
15 Correct 301 ms 12884 KB Output is correct
16 Correct 323 ms 12884 KB Output is correct
17 Correct 320 ms 12864 KB Output is correct
18 Correct 158 ms 12884 KB Output is correct
19 Correct 146 ms 12884 KB Output is correct
20 Correct 151 ms 12756 KB Output is correct
21 Correct 138 ms 12884 KB Output is correct

Subtask #5
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 144 ms 12884 KB Output is correct
2 Correct 84 ms 12884 KB Output is correct
3 Correct 35 ms 12756 KB Output is correct
4 Correct 36 ms 12884 KB Output is correct
5 Correct 41 ms 12884 KB Output is correct
6 Correct 36 ms 12884 KB Output is correct
7 Correct 160 ms 12872 KB Output is correct
8 Correct 153 ms 12884 KB Output is correct
9 Correct 149 ms 12756 KB Output is correct
10 Correct 144 ms 12888 KB Output is correct
11 Correct 143 ms 12868 KB Output is correct
12 Correct 159 ms 12884 KB Output is correct
13 Correct 34 ms 12892 KB Output is correct
14 Correct 153 ms 12892 KB Output is correct
15 Correct 40 ms 12884 KB Output is correct
16 Correct 211 ms 12948 KB Output is correct
17 Correct 239 ms 12908 KB Output is correct
18 Correct 205 ms 12884 KB Output is correct
19 Correct 197 ms 12884 KB Output is correct
20 Correct 277 ms 12888 KB Output is correct
21 Correct 265 ms 12884 KB Output is correct
22 Correct 258 ms 12884 KB Output is correct
23 Correct 266 ms 12864 KB Output is correct
24 Correct 223 ms 12868 KB Output is correct
25 Correct 599 ms 12884 KB Output is correct
26 Correct 572 ms 12884 KB Output is correct
27 Correct 575 ms 12876 KB Output is correct
28 Correct 605 ms 12880 KB Output is correct
29 Correct 339 ms 12880 KB Output is correct
30 Correct 357 ms 12888 KB Output is correct
31 Correct 379 ms 12884 KB Output is correct
32 Correct 339 ms 12876 KB Output is correct
33 Correct 647 ms 12868 KB Output is correct
34 Correct 597 ms 12992 KB Output is correct
35 Correct 679 ms 12876 KB Output is correct
36 Correct 677 ms 12884 KB Output is correct
37 Correct 110 ms 12884 KB Output is correct
38 Correct 78 ms 12880 KB Output is correct
39 Correct 81 ms 12884 KB Output is correct
40 Correct 70 ms 12884 KB Output is correct
41 Correct 89 ms 12884 KB Output is correct
42 Correct 76 ms 12892 KB Output is correct
43 Correct 89 ms 12884 KB Output is correct
44 Correct 98 ms 12884 KB Output is correct
45 Correct 81 ms 12884 KB Output is correct
46 Correct 113 ms 12884 KB Output is correct
47 Correct 85 ms 12888 KB Output is correct
48 Correct 83 ms 12868 KB Output is correct
49 Correct 77 ms 12884 KB Output is correct
50 Correct 184 ms 12884 KB Output is correct
51 Correct 197 ms 12888 KB Output is correct
52 Correct 196 ms 12884 KB Output is correct
53 Correct 201 ms 12884 KB Output is correct
54 Correct 86 ms 12884 KB Output is correct
55 Correct 85 ms 12884 KB Output is correct
56 Correct 104 ms 12888 KB Output is correct
57 Correct 99 ms 12884 KB Output is correct
58 Correct 292 ms 12884 KB Output is correct
59 Correct 289 ms 12884 KB Output is correct
60 Correct 340 ms 12868 KB Output is correct
61 Correct 282 ms 12884 KB Output is correct
62 Correct 277 ms 12884 KB Output is correct
63 Correct 218 ms 12884 KB Output is correct
64 Correct 250 ms 12884 KB Output is correct
65 Correct 232 ms 12884 KB Output is correct
66 Correct 246 ms 12880 KB Output is correct
67 Correct 654 ms 12864 KB Output is correct
68 Correct 593 ms 12964 KB Output is correct
69 Correct 567 ms 12884 KB Output is correct
70 Correct 559 ms 12884 KB Output is correct
71 Correct 313 ms 12864 KB Output is correct
72 Correct 301 ms 12884 KB Output is correct
73 Correct 323 ms 12884 KB Output is correct
74 Correct 320 ms 12864 KB Output is correct
75 Correct 158 ms 12884 KB Output is correct
76 Correct 146 ms 12884 KB Output is correct
77 Correct 151 ms 12756 KB Output is correct
78 Correct 138 ms 12884 KB Output is correct
79 Correct 267 ms 12884 KB Output is correct
80 Correct 311 ms 12884 KB Output is correct
81 Correct 245 ms 12884 KB Output is correct
82 Correct 229 ms 12884 KB Output is correct
83 Correct 208 ms 12884 KB Output is correct
84 Correct 94 ms 12884 KB Output is correct
85 Correct 130 ms 12888 KB Output is correct
86 Correct 110 ms 12884 KB Output is correct
87 Correct 122 ms 12892 KB Output is correct
88 Correct 478 ms 12872 KB Output is correct
89 Correct 576 ms 12884 KB Output is correct
90 Correct 557 ms 12884 KB Output is correct
91 Correct 585 ms 12888 KB Output is correct
92 Correct 146 ms 12888 KB Output is correct
93 Execution timed out 1093 ms 12868 KB Time limit exceeded
94 Halted 0 ms 0 KB -