Submission #1111982

# Submission time Handle Problem Language Result Execution time Memory
1111982 2024-11-13T13:17:18 Z _8_8_ Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
1888 ms 42312 KB
#include <bits/stdc++.h>
    
using namespace std;
    
typedef long long ll;
    
const int  N = (1 << 20) + 12, MOD = (int)1e9 + 7;

int l, q, a[N], dp[N], pd[N];
void test() {
    cin >> l >> q;
    for(int i = 0; i < (1 << l); i++) {
        char x;
        cin >> x;
        a[i] = (x - '0');
        dp[i] = pd[i] = a[i];
    }
    for(int i = 0; i < l; i++) {
        for(int j = 0; j < (1 << l); j++) {
            if((j >> i) & 1) {
                dp[j] += (dp[j - (1 << i)]);
            }
        }
        for(int j = (1 << l) - 1; j >= 0; j--) {
            if(!((j >> i) & 1)) {
                pd[j] += pd[j + (1 << i)];
            }
        }
    }
    while(q--) {
        vector<int> d, e, f;
        int s = 0;
        for(int i = l - 1; i >= 0; i--) {
            char x;
            cin >> x;
            if(x == '0') {
                d.push_back(i);
            } else if(x == '1') {
                s += (1 << i);
                e.push_back(i);
            } else {
                f.push_back(i);
            }
        }
        int res = 0, m;
        if((int)f.size() <= 7 ) {
            m = (int)f.size();
            for(int i = 0; i < (1 << m); i++) {
                int v = s;
                for(int j = 0; j < m; j++) {
                    if((i >> j) & 1) {
                        v += (1 << f[j]);
                    }
                }
                res += a[v];
            }
        } else if((int)e.size() <= 7) {
            m = (int)e.size();
            for(int i:f) {
                s += (1 << i);
            }
            res = 0;

            for(int i = 0; i < (1 << m); i++) {
                int v = s;
                for(int j = 0; j < m; j++) {
                    if((i >> j) & 1) {
                        v -= (1 << e[j]);
                    }
                }
                if(__builtin_popcount(i) & 1) {
                    res -= dp[v];
                } else {
                    res += dp[v];
                }
            }
        } else {
            m = (int)d.size();
            for(int i = 0; i < (1 << m); i++) {
                int v = s;
                for(int j = 0; j < m; j++) {
                    if((i >> j) & 1) {
                        v += (1 << d[j]);
                    }
                }
                if(__builtin_popcount(i) & 1) {
                    res -= pd[v];
                } else {
                    res += pd[v];
                }
            }
        }

        cout << res << '\n';
    }
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int t = 1; 
    // cin >> t;

    while(t--) 
        test();
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4432 KB Output is correct
2 Correct 2 ms 4432 KB Output is correct
3 Correct 2 ms 4432 KB Output is correct
4 Correct 2 ms 4432 KB Output is correct
5 Correct 2 ms 4432 KB Output is correct
6 Correct 2 ms 4432 KB Output is correct
7 Correct 2 ms 4432 KB Output is correct
8 Correct 2 ms 4432 KB Output is correct
9 Correct 2 ms 4432 KB Output is correct
10 Correct 2 ms 4432 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4432 KB Output is correct
2 Correct 2 ms 4432 KB Output is correct
3 Correct 2 ms 4432 KB Output is correct
4 Correct 2 ms 4432 KB Output is correct
5 Correct 2 ms 4432 KB Output is correct
6 Correct 2 ms 4432 KB Output is correct
7 Correct 2 ms 4432 KB Output is correct
8 Correct 2 ms 4432 KB Output is correct
9 Correct 2 ms 4432 KB Output is correct
10 Correct 2 ms 4432 KB Output is correct
11 Correct 479 ms 19320 KB Output is correct
12 Correct 677 ms 18808 KB Output is correct
13 Correct 429 ms 18108 KB Output is correct
14 Correct 438 ms 18248 KB Output is correct
15 Correct 723 ms 19160 KB Output is correct
16 Correct 537 ms 18444 KB Output is correct
17 Correct 515 ms 18248 KB Output is correct
18 Correct 246 ms 20296 KB Output is correct
19 Correct 345 ms 17224 KB Output is correct
20 Correct 653 ms 19012 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4432 KB Output is correct
2 Correct 2 ms 4432 KB Output is correct
3 Correct 2 ms 4432 KB Output is correct
4 Correct 2 ms 4432 KB Output is correct
5 Correct 2 ms 4432 KB Output is correct
6 Correct 2 ms 4432 KB Output is correct
7 Correct 2 ms 4432 KB Output is correct
8 Correct 2 ms 4432 KB Output is correct
9 Correct 2 ms 4432 KB Output is correct
10 Correct 2 ms 4432 KB Output is correct
11 Correct 479 ms 19320 KB Output is correct
12 Correct 677 ms 18808 KB Output is correct
13 Correct 429 ms 18108 KB Output is correct
14 Correct 438 ms 18248 KB Output is correct
15 Correct 723 ms 19160 KB Output is correct
16 Correct 537 ms 18444 KB Output is correct
17 Correct 515 ms 18248 KB Output is correct
18 Correct 246 ms 20296 KB Output is correct
19 Correct 345 ms 17224 KB Output is correct
20 Correct 653 ms 19012 KB Output is correct
21 Correct 1437 ms 22288 KB Output is correct
22 Correct 772 ms 22260 KB Output is correct
23 Correct 629 ms 21320 KB Output is correct
24 Correct 551 ms 21124 KB Output is correct
25 Correct 462 ms 23288 KB Output is correct
26 Correct 734 ms 21608 KB Output is correct
27 Correct 720 ms 21568 KB Output is correct
28 Correct 329 ms 24136 KB Output is correct
29 Correct 413 ms 20172 KB Output is correct
30 Correct 986 ms 22376 KB Output is correct
31 Correct 788 ms 22248 KB Output is correct
32 Correct 613 ms 22088 KB Output is correct
33 Correct 453 ms 21064 KB Output is correct
34 Correct 577 ms 21172 KB Output is correct
35 Correct 734 ms 21740 KB Output is correct
36 Correct 252 ms 20296 KB Output is correct
37 Correct 719 ms 22192 KB Output is correct
38 Correct 433 ms 20296 KB Output is correct
39 Correct 579 ms 21300 KB Output is correct
40 Correct 536 ms 21320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4432 KB Output is correct
2 Correct 2 ms 4432 KB Output is correct
3 Correct 2 ms 4432 KB Output is correct
4 Correct 2 ms 4432 KB Output is correct
5 Correct 2 ms 4432 KB Output is correct
6 Correct 2 ms 4432 KB Output is correct
7 Correct 2 ms 4432 KB Output is correct
8 Correct 2 ms 4432 KB Output is correct
9 Correct 2 ms 4432 KB Output is correct
10 Correct 2 ms 4432 KB Output is correct
11 Correct 78 ms 14920 KB Output is correct
12 Correct 79 ms 15064 KB Output is correct
13 Correct 99 ms 14804 KB Output is correct
14 Correct 138 ms 14920 KB Output is correct
15 Correct 90 ms 15124 KB Output is correct
16 Correct 112 ms 14796 KB Output is correct
17 Correct 117 ms 14920 KB Output is correct
18 Correct 69 ms 15184 KB Output is correct
19 Correct 83 ms 14932 KB Output is correct
20 Correct 106 ms 15056 KB Output is correct
21 Correct 108 ms 14936 KB Output is correct
22 Correct 145 ms 14920 KB Output is correct
23 Correct 89 ms 14796 KB Output is correct
24 Correct 112 ms 14920 KB Output is correct
25 Correct 127 ms 14840 KB Output is correct
26 Correct 64 ms 14920 KB Output is correct
27 Correct 80 ms 15064 KB Output is correct
28 Correct 87 ms 14920 KB Output is correct
29 Correct 98 ms 14988 KB Output is correct
30 Correct 112 ms 14920 KB Output is correct
31 Correct 83 ms 14792 KB Output is correct
32 Correct 110 ms 14848 KB Output is correct
33 Correct 114 ms 14920 KB Output is correct
34 Correct 64 ms 14792 KB Output is correct
35 Correct 99 ms 14792 KB Output is correct
36 Correct 104 ms 14920 KB Output is correct
37 Correct 101 ms 14972 KB Output is correct
38 Correct 99 ms 14792 KB Output is correct
39 Correct 102 ms 14920 KB Output is correct
40 Correct 107 ms 14920 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4432 KB Output is correct
2 Correct 2 ms 4432 KB Output is correct
3 Correct 2 ms 4432 KB Output is correct
4 Correct 2 ms 4432 KB Output is correct
5 Correct 2 ms 4432 KB Output is correct
6 Correct 2 ms 4432 KB Output is correct
7 Correct 2 ms 4432 KB Output is correct
8 Correct 2 ms 4432 KB Output is correct
9 Correct 2 ms 4432 KB Output is correct
10 Correct 2 ms 4432 KB Output is correct
11 Correct 479 ms 19320 KB Output is correct
12 Correct 677 ms 18808 KB Output is correct
13 Correct 429 ms 18108 KB Output is correct
14 Correct 438 ms 18248 KB Output is correct
15 Correct 723 ms 19160 KB Output is correct
16 Correct 537 ms 18444 KB Output is correct
17 Correct 515 ms 18248 KB Output is correct
18 Correct 246 ms 20296 KB Output is correct
19 Correct 345 ms 17224 KB Output is correct
20 Correct 653 ms 19012 KB Output is correct
21 Correct 1437 ms 22288 KB Output is correct
22 Correct 772 ms 22260 KB Output is correct
23 Correct 629 ms 21320 KB Output is correct
24 Correct 551 ms 21124 KB Output is correct
25 Correct 462 ms 23288 KB Output is correct
26 Correct 734 ms 21608 KB Output is correct
27 Correct 720 ms 21568 KB Output is correct
28 Correct 329 ms 24136 KB Output is correct
29 Correct 413 ms 20172 KB Output is correct
30 Correct 986 ms 22376 KB Output is correct
31 Correct 788 ms 22248 KB Output is correct
32 Correct 613 ms 22088 KB Output is correct
33 Correct 453 ms 21064 KB Output is correct
34 Correct 577 ms 21172 KB Output is correct
35 Correct 734 ms 21740 KB Output is correct
36 Correct 252 ms 20296 KB Output is correct
37 Correct 719 ms 22192 KB Output is correct
38 Correct 433 ms 20296 KB Output is correct
39 Correct 579 ms 21300 KB Output is correct
40 Correct 536 ms 21320 KB Output is correct
41 Correct 78 ms 14920 KB Output is correct
42 Correct 79 ms 15064 KB Output is correct
43 Correct 99 ms 14804 KB Output is correct
44 Correct 138 ms 14920 KB Output is correct
45 Correct 90 ms 15124 KB Output is correct
46 Correct 112 ms 14796 KB Output is correct
47 Correct 117 ms 14920 KB Output is correct
48 Correct 69 ms 15184 KB Output is correct
49 Correct 83 ms 14932 KB Output is correct
50 Correct 106 ms 15056 KB Output is correct
51 Correct 108 ms 14936 KB Output is correct
52 Correct 145 ms 14920 KB Output is correct
53 Correct 89 ms 14796 KB Output is correct
54 Correct 112 ms 14920 KB Output is correct
55 Correct 127 ms 14840 KB Output is correct
56 Correct 64 ms 14920 KB Output is correct
57 Correct 80 ms 15064 KB Output is correct
58 Correct 87 ms 14920 KB Output is correct
59 Correct 98 ms 14988 KB Output is correct
60 Correct 112 ms 14920 KB Output is correct
61 Correct 83 ms 14792 KB Output is correct
62 Correct 110 ms 14848 KB Output is correct
63 Correct 114 ms 14920 KB Output is correct
64 Correct 64 ms 14792 KB Output is correct
65 Correct 99 ms 14792 KB Output is correct
66 Correct 104 ms 14920 KB Output is correct
67 Correct 101 ms 14972 KB Output is correct
68 Correct 99 ms 14792 KB Output is correct
69 Correct 102 ms 14920 KB Output is correct
70 Correct 107 ms 14920 KB Output is correct
71 Correct 655 ms 39252 KB Output is correct
72 Correct 814 ms 39496 KB Output is correct
73 Correct 1069 ms 37892 KB Output is correct
74 Correct 1853 ms 38220 KB Output is correct
75 Correct 802 ms 40268 KB Output is correct
76 Correct 1336 ms 38608 KB Output is correct
77 Correct 1413 ms 38344 KB Output is correct
78 Correct 401 ms 42312 KB Output is correct
79 Correct 695 ms 36168 KB Output is correct
80 Correct 949 ms 39496 KB Output is correct
81 Correct 1190 ms 39152 KB Output is correct
82 Correct 1888 ms 38336 KB Output is correct
83 Correct 823 ms 37192 KB Output is correct
84 Correct 1235 ms 38140 KB Output is correct
85 Correct 1572 ms 38544 KB Output is correct
86 Correct 449 ms 36168 KB Output is correct
87 Correct 735 ms 39240 KB Output is correct
88 Correct 716 ms 36168 KB Output is correct
89 Correct 1135 ms 38012 KB Output is correct
90 Correct 1176 ms 38192 KB Output is correct
91 Correct 832 ms 37452 KB Output is correct
92 Correct 1567 ms 38584 KB Output is correct
93 Correct 1449 ms 38480 KB Output is correct
94 Correct 383 ms 36168 KB Output is correct
95 Correct 1216 ms 38216 KB Output is correct
96 Correct 1184 ms 38408 KB Output is correct
97 Correct 1134 ms 38216 KB Output is correct
98 Correct 1238 ms 38396 KB Output is correct
99 Correct 1230 ms 38412 KB Output is correct
100 Correct 1218 ms 38216 KB Output is correct