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Submission #1113369

# Submission time Handle Problem Language Result Execution time Memory
1113369 2024-11-16T13:03:58 Z vjudge1 Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
 1107 ms 43500 KB 
#include "bits/stdc++.h"
#define F first
#define S second
#define ll long long
#define pii pair<ll,int>
const int mxN = (1 << 20) + 5;
const int mod = 1e9 + 7;
using namespace std;
int sos[mxN][2][2];
signed main(){
 ios_base::sync_with_stdio(0);
 cin.tie(0);
 cout.tie(0);
  int n,q;
  cin >>n>>q;
  string s;
  cin>>s;
  for(int i = 0;i < n;i++){
    for(int mask = 0;mask < (1 << n);mask++){
      if(!i){
        sos[mask][0][0] = s[mask] - '0';
        if((mask &1)) sos[mask][0][0] += s[mask - 1] - '0';
        sos[mask][0][1] = s[mask] - '0';
        if((mask &1) == 0) sos[mask][0][1] += s[mask + 1] - '0';
        continue;
      }
      sos[mask][i &1][0] = sos[mask][(i - 1)&1][0];
      sos[mask][i &1][1] = sos[mask][(i - 1)&1][1];
      if(mask >> i & 1) sos[mask][(i)&1][0] += sos[mask - (1 << i)][(i - 1)&1][0];
      else sos[mask][i &1][1] += sos[mask + (1 << i)][(i - 1)&1][1];
    }
  }
  while(q--){
    string a;
    cin >>a;
    reverse(a.begin(),a.end());
    int Qcnt = 0, Ocnt = 0, Icnt = 0;
    for(auto x : a){
      if(x == '?') Qcnt++;
      else if(x == '1') Icnt++;
      else Ocnt++;
    }
    int ans = 0;
    if(min({Qcnt,Ocnt,Icnt}) == Qcnt){
      // printf("? small\n");
      int m1 = 0,m2 = 0,m3 = 0;
      int i = 0;
      for(auto x : a){
        if(x == '1') m1 += (1 << i);
        if(x == '?') m2 += (1 << i);
        i++;
      }
      m3 = m2;
      while(m3 > 0){
        ans += s[m3 + m1] - '0';
        m3 = (m3 - 1) & m2;
      }
      ans += s[m1] - '0';
    }else if(min({Qcnt,Ocnt,Icnt}) == Icnt){
      // printf("1 small\n");
      int m1 = 0,m2 = 0,m3 = 0;
      int i = 0;
      for(auto x : a){
        if(x == '?') m1 += (1 << i);
        if(x == '1') m2 += (1 << i);
        i++;
      }
      m3 = m2;
      while(m3 > 0){
        if(((Icnt + Qcnt) &1) == (__builtin_popcount(m3 + m1) & 1)) ans += sos[m3 + m1][(n - 1) & 1][0];
        else ans -= sos[m3 + m1][(n - 1) & 1][0];
        m3 = (m3 - 1) & m2;
      }
      if(((Icnt + Qcnt) & 1) == (__builtin_popcount(m1) & 1)) ans += sos[m1][(n - 1) & 1][0];
      else ans -= sos[m1][(n - 1) & 1][0];
    }else{
      // printf("0 small\n");
      int m1 = 0,m2 = 0,m3 = 0;
      int i = 0;
      for(auto x : a){
        if(x == '1') m1 += (1 << i);
        if(x == '0') m2 += (1 << i);
        i++;
      }
      m3 = m2;
      while(m3 > 0){
        if((Icnt & 1) == (__builtin_popcount(m3 + m1) &1)) ans += sos[m3 + m1][(n - 1) & 1][1];
        else ans -= sos[m3 + m1][(n - 1) & 1][1];
        m3 = (m3 - 1) & m2;
      }
      if((Icnt & 1) == (__builtin_popcount(m1) &1)) ans += sos[m1][(n - 1) & 1][1];
      else ans -= sos[m1][(n - 1) & 1][1];
    }
    cout<<ans<<'\n';
  }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 2 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 2 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 209 ms 4424 KB Output is correct
12 Correct 176 ms 3988 KB Output is correct
13 Correct 215 ms 3300 KB Output is correct
14 Correct 194 ms 3400 KB Output is correct
15 Correct 210 ms 4332 KB Output is correct
16 Correct 243 ms 3452 KB Output is correct
17 Correct 274 ms 3540 KB Output is correct
18 Correct 139 ms 5988 KB Output is correct
19 Correct 163 ms 2448 KB Output is correct
20 Correct 169 ms 3912 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 2 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 209 ms 4424 KB Output is correct
12 Correct 176 ms 3988 KB Output is correct
13 Correct 215 ms 3300 KB Output is correct
14 Correct 194 ms 3400 KB Output is correct
15 Correct 210 ms 4332 KB Output is correct
16 Correct 243 ms 3452 KB Output is correct
17 Correct 274 ms 3540 KB Output is correct
18 Correct 139 ms 5988 KB Output is correct
19 Correct 163 ms 2448 KB Output is correct
20 Correct 169 ms 3912 KB Output is correct
21 Correct 188 ms 4424 KB Output is correct
22 Correct 233 ms 4680 KB Output is correct
23 Correct 268 ms 3592 KB Output is correct
24 Correct 256 ms 6384 KB Output is correct
25 Correct 281 ms 7848 KB Output is correct
26 Correct 315 ms 5752 KB Output is correct
27 Correct 296 ms 3908 KB Output is correct
28 Correct 139 ms 7240 KB Output is correct
29 Correct 208 ms 2512 KB Output is correct
30 Correct 249 ms 5960 KB Output is correct
31 Correct 275 ms 4424 KB Output is correct
32 Correct 282 ms 4424 KB Output is correct
33 Correct 255 ms 3400 KB Output is correct
34 Correct 316 ms 6768 KB Output is correct
35 Correct 296 ms 3912 KB Output is correct
36 Correct 129 ms 3400 KB Output is correct
37 Correct 204 ms 5812 KB Output is correct
38 Correct 274 ms 2376 KB Output is correct
39 Correct 299 ms 3784 KB Output is correct
40 Correct 277 ms 3396 KB Output is correct

Subtask #4
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 2 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 61 ms 20352 KB Output is correct
12 Correct 75 ms 19380 KB Output is correct
13 Correct 68 ms 19428 KB Output is correct
14 Correct 78 ms 18152 KB Output is correct
15 Correct 61 ms 20464 KB Output is correct
16 Correct 76 ms 20712 KB Output is correct
17 Correct 73 ms 19364 KB Output is correct
18 Correct 66 ms 20708 KB Output is correct
19 Correct 65 ms 19700 KB Output is correct
20 Correct 57 ms 18152 KB Output is correct
21 Correct 57 ms 20456 KB Output is correct
22 Correct 97 ms 19184 KB Output is correct
23 Correct 61 ms 19376 KB Output is correct
24 Correct 77 ms 18024 KB Output is correct
25 Correct 75 ms 18920 KB Output is correct
26 Correct 56 ms 20396 KB Output is correct
27 Correct 56 ms 19204 KB Output is correct
28 Correct 57 ms 19040 KB Output is correct
29 Correct 73 ms 19616 KB Output is correct
30 Correct 70 ms 19440 KB Output is correct
31 Correct 63 ms 18152 KB Output is correct
32 Correct 70 ms 19692 KB Output is correct
33 Correct 94 ms 19708 KB Output is correct
34 Correct 53 ms 18084 KB Output is correct
35 Correct 77 ms 19444 KB Output is correct
36 Correct 75 ms 20456 KB Output is correct
37 Correct 70 ms 19324 KB Output is correct
38 Correct 91 ms 19432 KB Output is correct
39 Correct 79 ms 19348 KB Output is correct
40 Correct 71 ms 19300 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 2 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 209 ms 4424 KB Output is correct
12 Correct 176 ms 3988 KB Output is correct
13 Correct 215 ms 3300 KB Output is correct
14 Correct 194 ms 3400 KB Output is correct
15 Correct 210 ms 4332 KB Output is correct
16 Correct 243 ms 3452 KB Output is correct
17 Correct 274 ms 3540 KB Output is correct
18 Correct 139 ms 5988 KB Output is correct
19 Correct 163 ms 2448 KB Output is correct
20 Correct 169 ms 3912 KB Output is correct
21 Correct 188 ms 4424 KB Output is correct
22 Correct 233 ms 4680 KB Output is correct
23 Correct 268 ms 3592 KB Output is correct
24 Correct 256 ms 6384 KB Output is correct
25 Correct 281 ms 7848 KB Output is correct
26 Correct 315 ms 5752 KB Output is correct
27 Correct 296 ms 3908 KB Output is correct
28 Correct 139 ms 7240 KB Output is correct
29 Correct 208 ms 2512 KB Output is correct
30 Correct 249 ms 5960 KB Output is correct
31 Correct 275 ms 4424 KB Output is correct
32 Correct 282 ms 4424 KB Output is correct
33 Correct 255 ms 3400 KB Output is correct
34 Correct 316 ms 6768 KB Output is correct
35 Correct 296 ms 3912 KB Output is correct
36 Correct 129 ms 3400 KB Output is correct
37 Correct 204 ms 5812 KB Output is correct
38 Correct 274 ms 2376 KB Output is correct
39 Correct 299 ms 3784 KB Output is correct
40 Correct 277 ms 3396 KB Output is correct
41 Correct 61 ms 20352 KB Output is correct
42 Correct 75 ms 19380 KB Output is correct
43 Correct 68 ms 19428 KB Output is correct
44 Correct 78 ms 18152 KB Output is correct
45 Correct 61 ms 20464 KB Output is correct
46 Correct 76 ms 20712 KB Output is correct
47 Correct 73 ms 19364 KB Output is correct
48 Correct 66 ms 20708 KB Output is correct
49 Correct 65 ms 19700 KB Output is correct
50 Correct 57 ms 18152 KB Output is correct
51 Correct 57 ms 20456 KB Output is correct
52 Correct 97 ms 19184 KB Output is correct
53 Correct 61 ms 19376 KB Output is correct
54 Correct 77 ms 18024 KB Output is correct
55 Correct 75 ms 18920 KB Output is correct
56 Correct 56 ms 20396 KB Output is correct
57 Correct 56 ms 19204 KB Output is correct
58 Correct 57 ms 19040 KB Output is correct
59 Correct 73 ms 19616 KB Output is correct
60 Correct 70 ms 19440 KB Output is correct
61 Correct 63 ms 18152 KB Output is correct
62 Correct 70 ms 19692 KB Output is correct
63 Correct 94 ms 19708 KB Output is correct
64 Correct 53 ms 18084 KB Output is correct
65 Correct 77 ms 19444 KB Output is correct
66 Correct 75 ms 20456 KB Output is correct
67 Correct 70 ms 19324 KB Output is correct
68 Correct 91 ms 19432 KB Output is correct
69 Correct 79 ms 19348 KB Output is correct
70 Correct 71 ms 19300 KB Output is correct
71 Correct 496 ms 35012 KB Output is correct
72 Correct 493 ms 29752 KB Output is correct
73 Correct 545 ms 28764 KB Output is correct
74 Correct 1107 ms 34476 KB Output is correct
75 Correct 460 ms 24936 KB Output is correct
76 Correct 866 ms 34280 KB Output is correct
77 Correct 769 ms 34012 KB Output is correct
78 Correct 203 ms 26856 KB Output is correct
79 Correct 413 ms 37608 KB Output is correct
80 Correct 541 ms 42124 KB Output is correct
81 Correct 705 ms 33876 KB Output is correct
82 Correct 924 ms 22968 KB Output is correct
83 Correct 393 ms 38636 KB Output is correct
84 Correct 648 ms 22892 KB Output is correct
85 Correct 716 ms 23272 KB Output is correct
86 Correct 213 ms 37004 KB Output is correct
87 Correct 441 ms 43500 KB Output is correct
88 Correct 376 ms 20968 KB Output is correct
89 Correct 485 ms 33512 KB Output is correct
90 Correct 492 ms 33868 KB Output is correct
91 Correct 369 ms 22112 KB Output is correct
92 Correct 741 ms 23204 KB Output is correct
93 Correct 601 ms 23784 KB Output is correct
94 Correct 202 ms 31984 KB Output is correct
95 Correct 484 ms 34024 KB Output is correct
96 Correct 565 ms 23016 KB Output is correct
97 Correct 540 ms 34144 KB Output is correct
98 Correct 589 ms 34024 KB Output is correct
99 Correct 532 ms 23012 KB Output is correct
100 Correct 513 ms 34024 KB Output is correct