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Submission #591015

# Submission time Handle Problem Language Result Execution time Memory
591015 2022-07-06T17:49:27 Z piOOE Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
 999 ms 26056 KB 
#include <bits/stdc++.h>

using namespace std;

const int L = 20;

int S[1 << L], A[1 << L], B[1 << L], popcnt[1 << L];

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    for (int i = 1; i < 1 << L; ++i) {
        popcnt[i] = popcnt[i - (i & -i)] + 1;
    }
    int l, q;
    string s;
    cin >> l >> q >> s;
    int n = 1 << l;
    for (int i = 0; i < n; ++i) {
        S[i] = A[i] = B[(n - 1) ^ i] = s[i] - '0';
    }
    for (int i = 0; i < l; ++i) {
        for (int mask = 0; mask < n; ++mask) {
            if (mask & 1 << i) {
                A[mask] += A[mask ^ 1 << i];
                B[mask] += B[mask ^ 1 << i];
            }
        }
    }
    while (q--) {
        string t;
        cin >> t;
        reverse(t.begin(), t.end());
        int mask0 = 0, mask1 = 0, mask2 = 0;
        for (int i = 0; i < l; ++i) {
            if (t[i] == '0') {
                mask0 ^= 1 << i;
            } else if (t[i] == '1') {
                mask1 ^= 1 << i;
            } else {
                mask2 ^= 1 << i;
            }
        }
        int ans = 0;
        if (popcnt[mask1] <= 6) {
            for (int mask = mask1; mask; mask = (mask - 1) & mask1) {
                ans += A[mask ^ mask2] * (popcnt[mask ^ mask1] & 1 ? -1 : 1);
            }
            ans += A[mask2] * (popcnt[mask1] & 1 ? -1 : 1);
        } else if (popcnt[mask0] <= 6) {
            for (int mask = mask0; mask; mask = (mask - 1) & mask0) {
                ans += B[mask ^ mask2] * (popcnt[mask ^ mask0] & 1 ? -1 : 1);
            }
            ans += B[mask2] * (popcnt[mask0] & 1 ? -1 : 1);
        } else {
            for (int mask = mask2; mask; mask = (mask - 1) & mask2) {
                ans += S[mask ^ mask1];
            }
            ans += S[mask1];
        }
        cout << ans << '\n';
    }
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4436 KB Output is correct
2 Correct 3 ms 4436 KB Output is correct
3 Correct 3 ms 4436 KB Output is correct
4 Correct 4 ms 4436 KB Output is correct
5 Correct 4 ms 4436 KB Output is correct
6 Correct 5 ms 4460 KB Output is correct
7 Correct 5 ms 4436 KB Output is correct
8 Correct 3 ms 4388 KB Output is correct
9 Correct 3 ms 4436 KB Output is correct
10 Correct 3 ms 4436 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4436 KB Output is correct
2 Correct 3 ms 4436 KB Output is correct
3 Correct 3 ms 4436 KB Output is correct
4 Correct 4 ms 4436 KB Output is correct
5 Correct 4 ms 4436 KB Output is correct
6 Correct 5 ms 4460 KB Output is correct
7 Correct 5 ms 4436 KB Output is correct
8 Correct 3 ms 4388 KB Output is correct
9 Correct 3 ms 4436 KB Output is correct
10 Correct 3 ms 4436 KB Output is correct
11 Correct 248 ms 8448 KB Output is correct
12 Correct 185 ms 8128 KB Output is correct
13 Correct 237 ms 7444 KB Output is correct
14 Correct 212 ms 7452 KB Output is correct
15 Correct 201 ms 8424 KB Output is correct
16 Correct 285 ms 7636 KB Output is correct
17 Correct 247 ms 7600 KB Output is correct
18 Correct 170 ms 9400 KB Output is correct
19 Correct 229 ms 6488 KB Output is correct
20 Correct 238 ms 8076 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4436 KB Output is correct
2 Correct 3 ms 4436 KB Output is correct
3 Correct 3 ms 4436 KB Output is correct
4 Correct 4 ms 4436 KB Output is correct
5 Correct 4 ms 4436 KB Output is correct
6 Correct 5 ms 4460 KB Output is correct
7 Correct 5 ms 4436 KB Output is correct
8 Correct 3 ms 4388 KB Output is correct
9 Correct 3 ms 4436 KB Output is correct
10 Correct 3 ms 4436 KB Output is correct
11 Correct 248 ms 8448 KB Output is correct
12 Correct 185 ms 8128 KB Output is correct
13 Correct 237 ms 7444 KB Output is correct
14 Correct 212 ms 7452 KB Output is correct
15 Correct 201 ms 8424 KB Output is correct
16 Correct 285 ms 7636 KB Output is correct
17 Correct 247 ms 7600 KB Output is correct
18 Correct 170 ms 9400 KB Output is correct
19 Correct 229 ms 6488 KB Output is correct
20 Correct 238 ms 8076 KB Output is correct
21 Correct 316 ms 8664 KB Output is correct
22 Correct 261 ms 8632 KB Output is correct
23 Correct 303 ms 7676 KB Output is correct
24 Correct 261 ms 7572 KB Output is correct
25 Correct 227 ms 9528 KB Output is correct
26 Correct 331 ms 7976 KB Output is correct
27 Correct 295 ms 8012 KB Output is correct
28 Correct 199 ms 10520 KB Output is correct
29 Correct 310 ms 6488 KB Output is correct
30 Correct 267 ms 8652 KB Output is correct
31 Correct 267 ms 8496 KB Output is correct
32 Correct 274 ms 8548 KB Output is correct
33 Correct 233 ms 7448 KB Output is correct
34 Correct 305 ms 7464 KB Output is correct
35 Correct 337 ms 8064 KB Output is correct
36 Correct 181 ms 6616 KB Output is correct
37 Correct 238 ms 8736 KB Output is correct
38 Correct 304 ms 6668 KB Output is correct
39 Correct 373 ms 7852 KB Output is correct
40 Correct 306 ms 7664 KB Output is correct

Subtask #4
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4436 KB Output is correct
2 Correct 3 ms 4436 KB Output is correct
3 Correct 3 ms 4436 KB Output is correct
4 Correct 4 ms 4436 KB Output is correct
5 Correct 4 ms 4436 KB Output is correct
6 Correct 5 ms 4460 KB Output is correct
7 Correct 5 ms 4436 KB Output is correct
8 Correct 3 ms 4388 KB Output is correct
9 Correct 3 ms 4436 KB Output is correct
10 Correct 3 ms 4436 KB Output is correct
11 Correct 69 ms 18224 KB Output is correct
12 Correct 61 ms 18244 KB Output is correct
13 Correct 73 ms 18164 KB Output is correct
14 Correct 70 ms 18152 KB Output is correct
15 Correct 51 ms 18196 KB Output is correct
16 Correct 67 ms 18168 KB Output is correct
17 Correct 67 ms 18148 KB Output is correct
18 Correct 50 ms 18392 KB Output is correct
19 Correct 60 ms 18012 KB Output is correct
20 Correct 60 ms 18160 KB Output is correct
21 Correct 57 ms 18184 KB Output is correct
22 Correct 69 ms 18160 KB Output is correct
23 Correct 70 ms 18152 KB Output is correct
24 Correct 91 ms 18140 KB Output is correct
25 Correct 69 ms 18208 KB Output is correct
26 Correct 58 ms 18028 KB Output is correct
27 Correct 50 ms 18136 KB Output is correct
28 Correct 61 ms 18032 KB Output is correct
29 Correct 64 ms 18136 KB Output is correct
30 Correct 74 ms 18128 KB Output is correct
31 Correct 58 ms 18140 KB Output is correct
32 Correct 68 ms 18204 KB Output is correct
33 Correct 66 ms 18144 KB Output is correct
34 Correct 48 ms 18012 KB Output is correct
35 Correct 58 ms 18152 KB Output is correct
36 Correct 86 ms 18136 KB Output is correct
37 Correct 91 ms 18160 KB Output is correct
38 Correct 63 ms 18112 KB Output is correct
39 Correct 64 ms 18188 KB Output is correct
40 Correct 60 ms 18188 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4436 KB Output is correct
2 Correct 3 ms 4436 KB Output is correct
3 Correct 3 ms 4436 KB Output is correct
4 Correct 4 ms 4436 KB Output is correct
5 Correct 4 ms 4436 KB Output is correct
6 Correct 5 ms 4460 KB Output is correct
7 Correct 5 ms 4436 KB Output is correct
8 Correct 3 ms 4388 KB Output is correct
9 Correct 3 ms 4436 KB Output is correct
10 Correct 3 ms 4436 KB Output is correct
11 Correct 248 ms 8448 KB Output is correct
12 Correct 185 ms 8128 KB Output is correct
13 Correct 237 ms 7444 KB Output is correct
14 Correct 212 ms 7452 KB Output is correct
15 Correct 201 ms 8424 KB Output is correct
16 Correct 285 ms 7636 KB Output is correct
17 Correct 247 ms 7600 KB Output is correct
18 Correct 170 ms 9400 KB Output is correct
19 Correct 229 ms 6488 KB Output is correct
20 Correct 238 ms 8076 KB Output is correct
21 Correct 316 ms 8664 KB Output is correct
22 Correct 261 ms 8632 KB Output is correct
23 Correct 303 ms 7676 KB Output is correct
24 Correct 261 ms 7572 KB Output is correct
25 Correct 227 ms 9528 KB Output is correct
26 Correct 331 ms 7976 KB Output is correct
27 Correct 295 ms 8012 KB Output is correct
28 Correct 199 ms 10520 KB Output is correct
29 Correct 310 ms 6488 KB Output is correct
30 Correct 267 ms 8652 KB Output is correct
31 Correct 267 ms 8496 KB Output is correct
32 Correct 274 ms 8548 KB Output is correct
33 Correct 233 ms 7448 KB Output is correct
34 Correct 305 ms 7464 KB Output is correct
35 Correct 337 ms 8064 KB Output is correct
36 Correct 181 ms 6616 KB Output is correct
37 Correct 238 ms 8736 KB Output is correct
38 Correct 304 ms 6668 KB Output is correct
39 Correct 373 ms 7852 KB Output is correct
40 Correct 306 ms 7664 KB Output is correct
41 Correct 69 ms 18224 KB Output is correct
42 Correct 61 ms 18244 KB Output is correct
43 Correct 73 ms 18164 KB Output is correct
44 Correct 70 ms 18152 KB Output is correct
45 Correct 51 ms 18196 KB Output is correct
46 Correct 67 ms 18168 KB Output is correct
47 Correct 67 ms 18148 KB Output is correct
48 Correct 50 ms 18392 KB Output is correct
49 Correct 60 ms 18012 KB Output is correct
50 Correct 60 ms 18160 KB Output is correct
51 Correct 57 ms 18184 KB Output is correct
52 Correct 69 ms 18160 KB Output is correct
53 Correct 70 ms 18152 KB Output is correct
54 Correct 91 ms 18140 KB Output is correct
55 Correct 69 ms 18208 KB Output is correct
56 Correct 58 ms 18028 KB Output is correct
57 Correct 50 ms 18136 KB Output is correct
58 Correct 61 ms 18032 KB Output is correct
59 Correct 64 ms 18136 KB Output is correct
60 Correct 74 ms 18128 KB Output is correct
61 Correct 58 ms 18140 KB Output is correct
62 Correct 68 ms 18204 KB Output is correct
63 Correct 66 ms 18144 KB Output is correct
64 Correct 48 ms 18012 KB Output is correct
65 Correct 58 ms 18152 KB Output is correct
66 Correct 86 ms 18136 KB Output is correct
67 Correct 91 ms 18160 KB Output is correct
68 Correct 63 ms 18112 KB Output is correct
69 Correct 64 ms 18188 KB Output is correct
70 Correct 60 ms 18188 KB Output is correct
71 Correct 435 ms 23000 KB Output is correct
72 Correct 412 ms 23004 KB Output is correct
73 Correct 579 ms 21524 KB Output is correct
74 Correct 783 ms 21932 KB Output is correct
75 Correct 419 ms 23980 KB Output is correct
76 Correct 999 ms 22204 KB Output is correct
77 Correct 723 ms 22076 KB Output is correct
78 Correct 315 ms 26056 KB Output is correct
79 Correct 410 ms 19812 KB Output is correct
80 Correct 541 ms 23032 KB Output is correct
81 Correct 483 ms 22868 KB Output is correct
82 Correct 646 ms 21924 KB Output is correct
83 Correct 496 ms 21136 KB Output is correct
84 Correct 820 ms 21896 KB Output is correct
85 Correct 879 ms 22148 KB Output is correct
86 Correct 309 ms 19956 KB Output is correct
87 Correct 392 ms 22928 KB Output is correct
88 Correct 595 ms 19884 KB Output is correct
89 Correct 701 ms 21636 KB Output is correct
90 Correct 623 ms 21932 KB Output is correct
91 Correct 500 ms 21072 KB Output is correct
92 Correct 750 ms 22232 KB Output is correct
93 Correct 854 ms 22064 KB Output is correct
94 Correct 255 ms 20024 KB Output is correct
95 Correct 734 ms 21964 KB Output is correct
96 Correct 738 ms 22052 KB Output is correct
97 Correct 724 ms 21928 KB Output is correct
98 Correct 643 ms 22040 KB Output is correct
99 Correct 643 ms 22160 KB Output is correct
100 Correct 676 ms 21980 KB Output is correct