Submission #680163

# Submission time Handle Problem Language Result Execution time Memory
680163 2023-01-10T03:44:35 Z Duy_e Snake Escaping (JOI18_snake_escaping) C++14
75 / 100
2000 ms 30660 KB
#include <bits/stdc++.h>
#define ll long long
#define pii pair<ll, ll>
#define st first
#define nd second
#define file "test"
#define rep(i, begin, end) for (ll i = (begin); i <= (end); i ++)
#define rrep(i, begin, end) for (ll i = (begin); i >= (end); i --)
using namespace std;
const long long INF = 1e18;
const long long N = 2e6 + 5;

int a[N], L, q, n;

ll dp[2][N];

// dp[bit][mask] = sum of mask such bit on = bit

int main()
{
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    #ifndef ONLINE_JUDGE
        //freopen(file".inp", "r", stdin); freopen(file".out", "w", stdout);
    #endif
    
    cin >> L >> q;  
    n = 1 << L;

    rep(i, 0, n - 1) {
        char ch; cin >> ch;
        a[i] = ch - '0';
    }

    rep(bit, 0, 1) {
        rep(mask, 0, n - 1) dp[bit][mask] = a[bit == 0 ? (n - 1 - mask) : mask];
        rep(i, 0, L - 1) rep(mask, 0, n - 1) 
            if (mask >> i & 1)
                dp[bit][mask] += dp[bit][mask ^ (1 << i)];
        // rep(mask, 0, n - 1)
        //cout << bit << ' ' << mask << ": " << dp[bit][mask] << '\n';
    }   

    //return 0;
    string s;

    while (q --) {
        int na = 0, nb = 0, nc = 0, ma = 0, mb = 0, mc = 0;
        cin >> s;
        reverse(s.begin(), s.end());

        rep(i, 0, L - 1) {
            if (s[i] == '1') {
                na ++; ma ^= 1 << i;
            }

            if (s[i] == '0') {
                nb ++; mb ^= 1 << i;
            }

            if (s[i] == '?') {
                nc ++; mc ^= 1 << i;
            }
        }

        if (nc <= na && nc <= nb) {
            ll ans = 0;
            for (int i = mc; ; i = (i - 1) & mc) {
                ans += a[i ^ ma];
                if (i == 0) break;
            }            

            cout << ans << '\n';
        } else {
            int bit = 1, mask = ma, other = mb;
            // if (nb < na) {
            //     bit = 0;
            //     mask = mb;
            //     other = ma;
            // }

            // if (bit == 0) mc ^= (n - 1) ^ mb;

            ll ans = 0;
            int bb = __builtin_popcount(mask) & 1;
            for (int i = mask; ; i = (i - 1) & mask) {
                if ((__builtin_popcount(i) & 1) == bb) {
                    ans += dp[bit][i ^ mc];
                    // cout << "-" << (i ^ mc) << ' ' << dp[bit][i^mc] << '\n';
                }
                else    {
                    ans -= dp[bit][i ^ mc];
                    // cout << "+" << (i ^ mc) << ' ' << dp[bit][i ^ mc] << '\n';
                
                }
                if (i == 0) break;
            }

            cout << ans << '\n';
        }
    }

    return 0;
}    
/**  /\_/\
*   (= ._.)
*   / >🍵 \>🍮

3 case
cnt 0 min
cnt 1 min
cnt ? min

-> handle each case in 2^cnt, cnt <= L / 3 -> O(q * 2 ^ (L / 3));

**/

Compilation message

snake_escaping.cpp:104:9: warning: "/*" within comment [-Wcomment]
  104 | /**  /\_/\
      |          
snake_escaping.cpp: In function 'int main()':
snake_escaping.cpp:74:37: warning: unused variable 'other' [-Wunused-variable]
   74 |             int bit = 1, mask = ma, other = mb;
      |                                     ^~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 323 ms 4364 KB Output is correct
12 Correct 199 ms 4008 KB Output is correct
13 Correct 210 ms 3284 KB Output is correct
14 Correct 204 ms 3280 KB Output is correct
15 Correct 216 ms 4388 KB Output is correct
16 Correct 222 ms 3468 KB Output is correct
17 Correct 271 ms 3500 KB Output is correct
18 Correct 158 ms 5292 KB Output is correct
19 Correct 182 ms 2364 KB Output is correct
20 Correct 462 ms 3972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 323 ms 4364 KB Output is correct
12 Correct 199 ms 4008 KB Output is correct
13 Correct 210 ms 3284 KB Output is correct
14 Correct 204 ms 3280 KB Output is correct
15 Correct 216 ms 4388 KB Output is correct
16 Correct 222 ms 3468 KB Output is correct
17 Correct 271 ms 3500 KB Output is correct
18 Correct 158 ms 5292 KB Output is correct
19 Correct 182 ms 2364 KB Output is correct
20 Correct 462 ms 3972 KB Output is correct
21 Correct 520 ms 4436 KB Output is correct
22 Correct 231 ms 4696 KB Output is correct
23 Correct 252 ms 3660 KB Output is correct
24 Correct 247 ms 3424 KB Output is correct
25 Correct 243 ms 5488 KB Output is correct
26 Correct 276 ms 3912 KB Output is correct
27 Correct 355 ms 3864 KB Output is correct
28 Correct 170 ms 6732 KB Output is correct
29 Correct 222 ms 2968 KB Output is correct
30 Correct 1163 ms 5148 KB Output is correct
31 Correct 328 ms 5072 KB Output is correct
32 Correct 315 ms 4928 KB Output is correct
33 Correct 853 ms 3924 KB Output is correct
34 Correct 392 ms 4068 KB Output is correct
35 Correct 375 ms 4456 KB Output is correct
36 Correct 143 ms 2892 KB Output is correct
37 Correct 239 ms 4988 KB Output is correct
38 Correct 230 ms 2936 KB Output is correct
39 Correct 439 ms 4332 KB Output is correct
40 Correct 277 ms 4520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 379 ms 21592 KB Output is correct
12 Correct 76 ms 21372 KB Output is correct
13 Correct 95 ms 21476 KB Output is correct
14 Correct 121 ms 21408 KB Output is correct
15 Correct 106 ms 21464 KB Output is correct
16 Correct 108 ms 21352 KB Output is correct
17 Correct 181 ms 21392 KB Output is correct
18 Correct 79 ms 22360 KB Output is correct
19 Correct 83 ms 22872 KB Output is correct
20 Correct 1018 ms 23140 KB Output is correct
21 Correct 117 ms 23152 KB Output is correct
22 Correct 163 ms 23072 KB Output is correct
23 Correct 1466 ms 23076 KB Output is correct
24 Correct 170 ms 22984 KB Output is correct
25 Correct 153 ms 23040 KB Output is correct
26 Correct 74 ms 22976 KB Output is correct
27 Correct 77 ms 23128 KB Output is correct
28 Correct 81 ms 22956 KB Output is correct
29 Correct 264 ms 23224 KB Output is correct
30 Correct 90 ms 23028 KB Output is correct
31 Correct 81 ms 22988 KB Output is correct
32 Correct 112 ms 23000 KB Output is correct
33 Correct 148 ms 23000 KB Output is correct
34 Correct 71 ms 22992 KB Output is correct
35 Correct 211 ms 22996 KB Output is correct
36 Correct 212 ms 22992 KB Output is correct
37 Correct 220 ms 23056 KB Output is correct
38 Correct 231 ms 23076 KB Output is correct
39 Correct 208 ms 22980 KB Output is correct
40 Correct 220 ms 23040 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 323 ms 4364 KB Output is correct
12 Correct 199 ms 4008 KB Output is correct
13 Correct 210 ms 3284 KB Output is correct
14 Correct 204 ms 3280 KB Output is correct
15 Correct 216 ms 4388 KB Output is correct
16 Correct 222 ms 3468 KB Output is correct
17 Correct 271 ms 3500 KB Output is correct
18 Correct 158 ms 5292 KB Output is correct
19 Correct 182 ms 2364 KB Output is correct
20 Correct 462 ms 3972 KB Output is correct
21 Correct 520 ms 4436 KB Output is correct
22 Correct 231 ms 4696 KB Output is correct
23 Correct 252 ms 3660 KB Output is correct
24 Correct 247 ms 3424 KB Output is correct
25 Correct 243 ms 5488 KB Output is correct
26 Correct 276 ms 3912 KB Output is correct
27 Correct 355 ms 3864 KB Output is correct
28 Correct 170 ms 6732 KB Output is correct
29 Correct 222 ms 2968 KB Output is correct
30 Correct 1163 ms 5148 KB Output is correct
31 Correct 328 ms 5072 KB Output is correct
32 Correct 315 ms 4928 KB Output is correct
33 Correct 853 ms 3924 KB Output is correct
34 Correct 392 ms 4068 KB Output is correct
35 Correct 375 ms 4456 KB Output is correct
36 Correct 143 ms 2892 KB Output is correct
37 Correct 239 ms 4988 KB Output is correct
38 Correct 230 ms 2936 KB Output is correct
39 Correct 439 ms 4332 KB Output is correct
40 Correct 277 ms 4520 KB Output is correct
41 Correct 379 ms 21592 KB Output is correct
42 Correct 76 ms 21372 KB Output is correct
43 Correct 95 ms 21476 KB Output is correct
44 Correct 121 ms 21408 KB Output is correct
45 Correct 106 ms 21464 KB Output is correct
46 Correct 108 ms 21352 KB Output is correct
47 Correct 181 ms 21392 KB Output is correct
48 Correct 79 ms 22360 KB Output is correct
49 Correct 83 ms 22872 KB Output is correct
50 Correct 1018 ms 23140 KB Output is correct
51 Correct 117 ms 23152 KB Output is correct
52 Correct 163 ms 23072 KB Output is correct
53 Correct 1466 ms 23076 KB Output is correct
54 Correct 170 ms 22984 KB Output is correct
55 Correct 153 ms 23040 KB Output is correct
56 Correct 74 ms 22976 KB Output is correct
57 Correct 77 ms 23128 KB Output is correct
58 Correct 81 ms 22956 KB Output is correct
59 Correct 264 ms 23224 KB Output is correct
60 Correct 90 ms 23028 KB Output is correct
61 Correct 81 ms 22988 KB Output is correct
62 Correct 112 ms 23000 KB Output is correct
63 Correct 148 ms 23000 KB Output is correct
64 Correct 71 ms 22992 KB Output is correct
65 Correct 211 ms 22996 KB Output is correct
66 Correct 212 ms 22992 KB Output is correct
67 Correct 220 ms 23056 KB Output is correct
68 Correct 231 ms 23076 KB Output is correct
69 Correct 208 ms 22980 KB Output is correct
70 Correct 220 ms 23040 KB Output is correct
71 Execution timed out 2078 ms 30660 KB Time limit exceeded
72 Halted 0 ms 0 KB -