oj.uz

Submission #419041

# Submission time Handle Problem Language Result Execution time Memory
419041 2021-06-06T11:13:11 Z nguot Snake Escaping (JOI18_snake_escaping) C++14
100 / 100
 1307 ms 46256 KB 
#include <bits/stdc++.h>
using namespace std;
#define in ({int x=0;int c=getchar(),n=0;for(;!isdigit(c);c=getchar()) n=(c=='-');for(;isdigit(c);c=getchar()) x=x*10+c-'0';n?-x:x;})
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int rnd(int l,int r){return l+rng()%(r-l+1);}
#define fasty ios_base::sync_with_stdio(0),cin.tie(0)
#define fori(x,a,b) for (int x=a;x<=b;++x)
#define ford(x,a,b) for (int x=a;x>=b;x--)
#define forv(a,b) for(auto&a:b)
#define fi first
#define se second
#define pb push_back
#define ii pair<int,int>
#define mt make_tuple
#define mp make_pair
#define all(a) a.begin(),a.end()
#define reset(f, x) memset(f, x, sizeof(f))
#define getbit(x,i) ((x>>i)&1)
#define batbit(x,i) (x|(1ll<<i))
#define tatbit(x,i) (x&~(1<<i))
#define gg exit(0);

const int N = (1<<20)+3;
int f1[N],f0[N],cnt[N],val[N],n,t;
main()
{
    //freopen("task.inp","r",stdin);
    fasty;
    cin>>n>>t;
    int ma = (1<<n)-1;
    fori(i,0,ma)
    {
        char c;cin>>c;
        f0[i] = f1[i] = val[i] = c-'0';
        cnt[i] = __builtin_popcount(i);
    }
    fori(i,0,n-1)
    {
        fori(j,0,ma) if(getbit(j,i))
        {
            f0[j]+=f0[(j^(1<<i))];
        }
        ford(j,ma,0) if(getbit(j,i)) f1[(j^(1<<i))]+=f1[j];
    }

    while(t--)
    {
        string s;cin>>s;
        int a=0,b=0,c=0;
        fori(i,0,s.size()-1)
        {
           if(s[i]=='0') a = batbit(a,s.size()-i-1);
           if(s[i]=='1') b = batbit(b,s.size()-i-1);
           if(s[i]=='?') c = batbit(c,s.size()-i-1);
        }
        int kq = 0;
        if(cnt[a]<=n/3)
        {
            for(int sub=a;;sub=(sub-1)&a)
            {
                if(cnt[sub]%2) kq-=f1[(sub|b)];//tru di cac th nhieu hon 1 bit la 0
                else kq+=f1[(sub|b)];//cong lai vi tru nhieu qua
                if(!sub) break;
            }
            cout<<kq<<"\n";
        }
        else if(cnt[b]<=n/3)
        {
            for(int sub=b;;sub=(sub-1)&b)
            {
                if(cnt[(sub^b)]%2) kq-=f0[(sub|c)];//tuong tu bai vim war
                else kq+=f0[(sub|c)];
                if(!sub) break;
            }
            cout<<kq<<"\n";
        }
        else
        {
            for(int sub=c;;sub=(sub-1)&c)
            {
                kq+=val[(sub|b)];
                if(!sub) break;
            }
            cout<<kq<<"\n";
        }
    }
}
//https://oj.uz/problem/view/JOI18_snake_escaping
//https://github.com/hharryyf/codeforcepractice
//https://codeforces.com/topic/91973/en12
//https://codeforces.com/blog/entry/20284
/* Weak:
- DP (SOS,Broken profiles,Connected component) (usaco guide)
- DP + Probabilities
- Matrix Exponentiation(usaco guide)
- Bao ham loai tru(hackerearth,http://algoogle.hadrori.jp/aoj/1254/)
- Lien Thong Manh(https://codeforces.com/blog/entry/68138)
- Dijkstra
- Geometry(MPOLY,CVXPOLY,MTRIAREA)
- DP Thu tu tu dien(google)
*/

Compilation message

snake_escaping.cpp:25:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   25 | main()
      | ^~~~
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:7:35: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    7 | #define fori(x,a,b) for (int x=a;x<=b;++x)
......
   50 |         fori(i,0,s.size()-1)
      |              ~~~~~~~~~~~~~~        
snake_escaping.cpp:50:9: note: in expansion of macro 'fori'
   50 |         fori(i,0,s.size()-1)
      |         ^~~~
snake_escaping.cpp:52:49: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   52 |            if(s[i]=='0') a = batbit(a,s.size()-i-1);
      |                                       ~~~~~~~~~~^~
snake_escaping.cpp:19:30: note: in definition of macro 'batbit'
   19 | #define batbit(x,i) (x|(1ll<<i))
      |                              ^
snake_escaping.cpp:53:49: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   53 |            if(s[i]=='1') b = batbit(b,s.size()-i-1);
      |                                       ~~~~~~~~~~^~
snake_escaping.cpp:19:30: note: in definition of macro 'batbit'
   19 | #define batbit(x,i) (x|(1ll<<i))
      |                              ^
snake_escaping.cpp:54:49: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   54 |            if(s[i]=='?') c = batbit(c,s.size()-i-1);
      |                                       ~~~~~~~~~~^~
snake_escaping.cpp:19:30: note: in definition of macro 'batbit'
   19 | #define batbit(x,i) (x|(1ll<<i))
      |                              ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 376 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 376 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 251 ms 15016 KB Output is correct
12 Correct 255 ms 14724 KB Output is correct
13 Correct 271 ms 13964 KB Output is correct
14 Correct 282 ms 14100 KB Output is correct
15 Correct 261 ms 15136 KB Output is correct
16 Correct 281 ms 14188 KB Output is correct
17 Correct 289 ms 14280 KB Output is correct
18 Correct 244 ms 16108 KB Output is correct
19 Correct 250 ms 13068 KB Output is correct
20 Correct 259 ms 14712 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 376 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 251 ms 15016 KB Output is correct
12 Correct 255 ms 14724 KB Output is correct
13 Correct 271 ms 13964 KB Output is correct
14 Correct 282 ms 14100 KB Output is correct
15 Correct 261 ms 15136 KB Output is correct
16 Correct 281 ms 14188 KB Output is correct
17 Correct 289 ms 14280 KB Output is correct
18 Correct 244 ms 16108 KB Output is correct
19 Correct 250 ms 13068 KB Output is correct
20 Correct 259 ms 14712 KB Output is correct
21 Correct 337 ms 18112 KB Output is correct
22 Correct 281 ms 18376 KB Output is correct
23 Correct 348 ms 17320 KB Output is correct
24 Correct 372 ms 17376 KB Output is correct
25 Correct 312 ms 19108 KB Output is correct
26 Correct 367 ms 17696 KB Output is correct
27 Correct 368 ms 17580 KB Output is correct
28 Correct 240 ms 20164 KB Output is correct
29 Correct 275 ms 16148 KB Output is correct
30 Correct 276 ms 18376 KB Output is correct
31 Correct 308 ms 18116 KB Output is correct
32 Correct 350 ms 18136 KB Output is correct
33 Correct 275 ms 16964 KB Output is correct
34 Correct 321 ms 17192 KB Output is correct
35 Correct 369 ms 17640 KB Output is correct
36 Correct 211 ms 16148 KB Output is correct
37 Correct 258 ms 18180 KB Output is correct
38 Correct 332 ms 16264 KB Output is correct
39 Correct 326 ms 17264 KB Output is correct
40 Correct 324 ms 17092 KB Output is correct

Subtask #4
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 376 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 101 ms 19000 KB Output is correct
12 Correct 108 ms 19008 KB Output is correct
13 Correct 109 ms 18884 KB Output is correct
14 Correct 142 ms 19024 KB Output is correct
15 Correct 98 ms 19004 KB Output is correct
16 Correct 123 ms 18880 KB Output is correct
17 Correct 122 ms 18908 KB Output is correct
18 Correct 95 ms 19144 KB Output is correct
19 Correct 97 ms 18776 KB Output is correct
20 Correct 91 ms 19004 KB Output is correct
21 Correct 109 ms 19008 KB Output is correct
22 Correct 123 ms 18920 KB Output is correct
23 Correct 125 ms 18928 KB Output is correct
24 Correct 154 ms 18932 KB Output is correct
25 Correct 125 ms 18912 KB Output is correct
26 Correct 84 ms 18824 KB Output is correct
27 Correct 102 ms 18988 KB Output is correct
28 Correct 98 ms 18756 KB Output is correct
29 Correct 102 ms 18916 KB Output is correct
30 Correct 110 ms 18884 KB Output is correct
31 Correct 100 ms 18884 KB Output is correct
32 Correct 130 ms 18984 KB Output is correct
33 Correct 121 ms 18912 KB Output is correct
34 Correct 101 ms 18756 KB Output is correct
35 Correct 112 ms 18888 KB Output is correct
36 Correct 119 ms 18936 KB Output is correct
37 Correct 117 ms 18968 KB Output is correct
38 Correct 115 ms 18856 KB Output is correct
39 Correct 112 ms 18904 KB Output is correct
40 Correct 116 ms 18908 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 376 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 251 ms 15016 KB Output is correct
12 Correct 255 ms 14724 KB Output is correct
13 Correct 271 ms 13964 KB Output is correct
14 Correct 282 ms 14100 KB Output is correct
15 Correct 261 ms 15136 KB Output is correct
16 Correct 281 ms 14188 KB Output is correct
17 Correct 289 ms 14280 KB Output is correct
18 Correct 244 ms 16108 KB Output is correct
19 Correct 250 ms 13068 KB Output is correct
20 Correct 259 ms 14712 KB Output is correct
21 Correct 337 ms 18112 KB Output is correct
22 Correct 281 ms 18376 KB Output is correct
23 Correct 348 ms 17320 KB Output is correct
24 Correct 372 ms 17376 KB Output is correct
25 Correct 312 ms 19108 KB Output is correct
26 Correct 367 ms 17696 KB Output is correct
27 Correct 368 ms 17580 KB Output is correct
28 Correct 240 ms 20164 KB Output is correct
29 Correct 275 ms 16148 KB Output is correct
30 Correct 276 ms 18376 KB Output is correct
31 Correct 308 ms 18116 KB Output is correct
32 Correct 350 ms 18136 KB Output is correct
33 Correct 275 ms 16964 KB Output is correct
34 Correct 321 ms 17192 KB Output is correct
35 Correct 369 ms 17640 KB Output is correct
36 Correct 211 ms 16148 KB Output is correct
37 Correct 258 ms 18180 KB Output is correct
38 Correct 332 ms 16264 KB Output is correct
39 Correct 326 ms 17264 KB Output is correct
40 Correct 324 ms 17092 KB Output is correct
41 Correct 101 ms 19000 KB Output is correct
42 Correct 108 ms 19008 KB Output is correct
43 Correct 109 ms 18884 KB Output is correct
44 Correct 142 ms 19024 KB Output is correct
45 Correct 98 ms 19004 KB Output is correct
46 Correct 123 ms 18880 KB Output is correct
47 Correct 122 ms 18908 KB Output is correct
48 Correct 95 ms 19144 KB Output is correct
49 Correct 97 ms 18776 KB Output is correct
50 Correct 91 ms 19004 KB Output is correct
51 Correct 109 ms 19008 KB Output is correct
52 Correct 123 ms 18920 KB Output is correct
53 Correct 125 ms 18928 KB Output is correct
54 Correct 154 ms 18932 KB Output is correct
55 Correct 125 ms 18912 KB Output is correct
56 Correct 84 ms 18824 KB Output is correct
57 Correct 102 ms 18988 KB Output is correct
58 Correct 98 ms 18756 KB Output is correct
59 Correct 102 ms 18916 KB Output is correct
60 Correct 110 ms 18884 KB Output is correct
61 Correct 100 ms 18884 KB Output is correct
62 Correct 130 ms 18984 KB Output is correct
63 Correct 121 ms 18912 KB Output is correct
64 Correct 101 ms 18756 KB Output is correct
65 Correct 112 ms 18888 KB Output is correct
66 Correct 119 ms 18936 KB Output is correct
67 Correct 117 ms 18968 KB Output is correct
68 Correct 115 ms 18856 KB Output is correct
69 Correct 112 ms 18904 KB Output is correct
70 Correct 116 ms 18908 KB Output is correct
71 Correct 483 ms 43308 KB Output is correct
72 Correct 618 ms 43452 KB Output is correct
73 Correct 909 ms 41980 KB Output is correct
74 Correct 1269 ms 42276 KB Output is correct
75 Correct 569 ms 44252 KB Output is correct
76 Correct 1111 ms 42696 KB Output is correct
77 Correct 1052 ms 42488 KB Output is correct
78 Correct 357 ms 46256 KB Output is correct
79 Correct 541 ms 40296 KB Output is correct
80 Correct 485 ms 43376 KB Output is correct
81 Correct 826 ms 43240 KB Output is correct
82 Correct 1196 ms 42212 KB Output is correct
83 Correct 555 ms 41460 KB Output is correct
84 Correct 1230 ms 42280 KB Output is correct
85 Correct 997 ms 42636 KB Output is correct
86 Correct 332 ms 40252 KB Output is correct
87 Correct 529 ms 43252 KB Output is correct
88 Correct 607 ms 40260 KB Output is correct
89 Correct 794 ms 41924 KB Output is correct
90 Correct 870 ms 42284 KB Output is correct
91 Correct 650 ms 41384 KB Output is correct
92 Correct 1307 ms 42608 KB Output is correct
93 Correct 1088 ms 42536 KB Output is correct
94 Correct 356 ms 40280 KB Output is correct
95 Correct 936 ms 42332 KB Output is correct
96 Correct 1012 ms 42428 KB Output is correct
97 Correct 975 ms 42344 KB Output is correct
98 Correct 1061 ms 42336 KB Output is correct
99 Correct 1022 ms 42428 KB Output is correct
100 Correct 1034 ms 42384 KB Output is correct