oj.uz

Submission #934936

# Submission time Handle Problem Language Result Execution time Memory
934936 2024-02-28T08:08:15 Z MinaRagy06 Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
 1714 ms 50516 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
 
int dp[2][1 << 20], dp2[2][1 << 20];
string s;
int a[1 << 20];
int main() {
    ios_base::sync_with_stdio(0), cin.tie(0);
    int n, q;
    cin >> n >> q;
    int m = n;
    n = 1 << n;
    for (int i = 0; i < n; i++) {
        char c;
        cin >> c;
        a[i] = c - '0';
    }
    for (int i = 0; i < n; i++) dp[m & 1][i] = a[i], dp2[m & 1][i] = a[i];
    for (int i = m - 1; i >= 0; i--) {
        for (int j = 0; j < n; j++) {
            dp[i & 1][j] = dp[(i + 1) & 1][j];
            dp2[i & 1][j] = dp2[(i + 1) & 1][j];
            if ((j >> i) & 1) {
                dp[i & 1][j] += dp[(i + 1) & 1][j ^ (1 << i)];
            } else {
                dp2[i & 1][j] += dp2[(i + 1) & 1][j ^ (1 << i)];
            }
        }
    }
    while (q--) {
        cin >> s;
        int frq[3]{};
        for (int i = 0; i < m; i++) {
            if (s[i] == '?') {
                frq[2]++;
            } else {
                frq[s[i] - '0']++;
            }
        }
        reverse(s.begin(), s.end());
        int ans = 0;
        if (frq[2] <= frq[0] && frq[2] <= frq[1]) {
            for (int msk = 0; msk < (1 << frq[2]); msk++) {
                int cur = 0;
                int v = 0;
                for (int i = 0; i < m; i++) {
                    int b = s[i] - '0';
                    if (s[i] == '?') {
                        b = (msk >> (cur++)) & 1;
                    }
                    v += b << i;
                }
                ans += a[v];
            }
        } else if (frq[1] <= frq[0] && frq[1] <= frq[2]) {
            int x = 0, st = 0;
            for (int i = 0; i < m; i++) {
                int b = s[i] - '0';
                if (s[i] == '?') b = 1;
                if (s[i] == '1') st += 1 << i, b = 0;
                x += b << i;
            }
            for (int msk = st; msk >= 0; msk = ((msk - 1) & st)) {
                int v = x | msk;
                int cnt = __builtin_popcount(msk);
                if ((frq[1] - cnt) & 1) {
                    ans -= dp[0][v];
                } else {
                    ans += dp[0][v];
                }
                if (!msk) break;
            }
        } else {
            int x = 0, st = 0;
            for (int i = 0; i < m; i++) {
                int b = s[i] - '0';
                if (s[i] == '?') b = 0;
                if (s[i] == '0') st += 1 << i;
                x += b << i;
            }
            for (int msk = st; msk >= 0; msk = ((msk - 1) & st)) {
                int v = x | msk;
                int cnt = __builtin_popcount(msk);
                if (cnt & 1) {
                    ans -= dp2[0][v];
                } else {
                    ans += dp2[0][v];
                }
                if (msk == 0) break;
            }
        }
        cout << ans << '\n';
    }
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 2 ms 8540 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2 ms 8540 KB Output is correct
5 Correct 2 ms 8540 KB Output is correct
6 Correct 2 ms 8540 KB Output is correct
7 Correct 1 ms 8540 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 1 ms 8536 KB Output is correct
10 Correct 1 ms 8536 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 2 ms 8540 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2 ms 8540 KB Output is correct
5 Correct 2 ms 8540 KB Output is correct
6 Correct 2 ms 8540 KB Output is correct
7 Correct 1 ms 8540 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 1 ms 8536 KB Output is correct
10 Correct 1 ms 8536 KB Output is correct
11 Correct 184 ms 23296 KB Output is correct
12 Correct 214 ms 22996 KB Output is correct
13 Correct 197 ms 22100 KB Output is correct
14 Correct 242 ms 22276 KB Output is correct
15 Correct 205 ms 23220 KB Output is correct
16 Correct 252 ms 22352 KB Output is correct
17 Correct 251 ms 22396 KB Output is correct
18 Correct 145 ms 24208 KB Output is correct
19 Correct 142 ms 21332 KB Output is correct
20 Correct 200 ms 22868 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 2 ms 8540 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2 ms 8540 KB Output is correct
5 Correct 2 ms 8540 KB Output is correct
6 Correct 2 ms 8540 KB Output is correct
7 Correct 1 ms 8540 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 1 ms 8536 KB Output is correct
10 Correct 1 ms 8536 KB Output is correct
11 Correct 184 ms 23296 KB Output is correct
12 Correct 214 ms 22996 KB Output is correct
13 Correct 197 ms 22100 KB Output is correct
14 Correct 242 ms 22276 KB Output is correct
15 Correct 205 ms 23220 KB Output is correct
16 Correct 252 ms 22352 KB Output is correct
17 Correct 251 ms 22396 KB Output is correct
18 Correct 145 ms 24208 KB Output is correct
19 Correct 142 ms 21332 KB Output is correct
20 Correct 200 ms 22868 KB Output is correct
21 Correct 227 ms 26192 KB Output is correct
22 Correct 256 ms 26312 KB Output is correct
23 Correct 299 ms 25408 KB Output is correct
24 Correct 503 ms 25424 KB Output is correct
25 Correct 258 ms 27220 KB Output is correct
26 Correct 383 ms 25792 KB Output is correct
27 Correct 336 ms 25760 KB Output is correct
28 Correct 163 ms 28284 KB Output is correct
29 Correct 159 ms 24160 KB Output is correct
30 Correct 251 ms 26476 KB Output is correct
31 Correct 279 ms 26388 KB Output is correct
32 Correct 306 ms 26160 KB Output is correct
33 Correct 203 ms 25208 KB Output is correct
34 Correct 388 ms 25672 KB Output is correct
35 Correct 333 ms 25680 KB Output is correct
36 Correct 215 ms 24160 KB Output is correct
37 Correct 243 ms 26364 KB Output is correct
38 Correct 154 ms 24364 KB Output is correct
39 Correct 296 ms 17492 KB Output is correct
40 Correct 673 ms 17392 KB Output is correct

Subtask #4
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 2 ms 8540 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2 ms 8540 KB Output is correct
5 Correct 2 ms 8540 KB Output is correct
6 Correct 2 ms 8540 KB Output is correct
7 Correct 1 ms 8540 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 1 ms 8536 KB Output is correct
10 Correct 1 ms 8536 KB Output is correct
11 Correct 62 ms 23124 KB Output is correct
12 Correct 69 ms 23240 KB Output is correct
13 Correct 100 ms 23132 KB Output is correct
14 Correct 76 ms 23000 KB Output is correct
15 Correct 62 ms 23120 KB Output is correct
16 Correct 116 ms 23120 KB Output is correct
17 Correct 104 ms 23124 KB Output is correct
18 Correct 56 ms 23376 KB Output is correct
19 Correct 55 ms 22864 KB Output is correct
20 Correct 80 ms 23240 KB Output is correct
21 Correct 66 ms 23236 KB Output is correct
22 Correct 73 ms 23124 KB Output is correct
23 Correct 62 ms 23032 KB Output is correct
24 Correct 109 ms 23120 KB Output is correct
25 Correct 84 ms 23124 KB Output is correct
26 Correct 56 ms 22868 KB Output is correct
27 Correct 63 ms 23184 KB Output is correct
28 Correct 56 ms 22920 KB Output is correct
29 Correct 89 ms 23120 KB Output is correct
30 Correct 128 ms 23048 KB Output is correct
31 Correct 60 ms 23124 KB Output is correct
32 Correct 125 ms 22984 KB Output is correct
33 Correct 95 ms 22996 KB Output is correct
34 Correct 52 ms 22984 KB Output is correct
35 Correct 77 ms 23120 KB Output is correct
36 Correct 74 ms 23124 KB Output is correct
37 Correct 75 ms 23144 KB Output is correct
38 Correct 76 ms 22984 KB Output is correct
39 Correct 75 ms 23124 KB Output is correct
40 Correct 75 ms 23124 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 2 ms 8540 KB Output is correct
3 Correct 2 ms 8540 KB Output is correct
4 Correct 2 ms 8540 KB Output is correct
5 Correct 2 ms 8540 KB Output is correct
6 Correct 2 ms 8540 KB Output is correct
7 Correct 1 ms 8540 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 1 ms 8536 KB Output is correct
10 Correct 1 ms 8536 KB Output is correct
11 Correct 184 ms 23296 KB Output is correct
12 Correct 214 ms 22996 KB Output is correct
13 Correct 197 ms 22100 KB Output is correct
14 Correct 242 ms 22276 KB Output is correct
15 Correct 205 ms 23220 KB Output is correct
16 Correct 252 ms 22352 KB Output is correct
17 Correct 251 ms 22396 KB Output is correct
18 Correct 145 ms 24208 KB Output is correct
19 Correct 142 ms 21332 KB Output is correct
20 Correct 200 ms 22868 KB Output is correct
21 Correct 227 ms 26192 KB Output is correct
22 Correct 256 ms 26312 KB Output is correct
23 Correct 299 ms 25408 KB Output is correct
24 Correct 503 ms 25424 KB Output is correct
25 Correct 258 ms 27220 KB Output is correct
26 Correct 383 ms 25792 KB Output is correct
27 Correct 336 ms 25760 KB Output is correct
28 Correct 163 ms 28284 KB Output is correct
29 Correct 159 ms 24160 KB Output is correct
30 Correct 251 ms 26476 KB Output is correct
31 Correct 279 ms 26388 KB Output is correct
32 Correct 306 ms 26160 KB Output is correct
33 Correct 203 ms 25208 KB Output is correct
34 Correct 388 ms 25672 KB Output is correct
35 Correct 333 ms 25680 KB Output is correct
36 Correct 215 ms 24160 KB Output is correct
37 Correct 243 ms 26364 KB Output is correct
38 Correct 154 ms 24364 KB Output is correct
39 Correct 296 ms 17492 KB Output is correct
40 Correct 673 ms 17392 KB Output is correct
41 Correct 62 ms 23124 KB Output is correct
42 Correct 69 ms 23240 KB Output is correct
43 Correct 100 ms 23132 KB Output is correct
44 Correct 76 ms 23000 KB Output is correct
45 Correct 62 ms 23120 KB Output is correct
46 Correct 116 ms 23120 KB Output is correct
47 Correct 104 ms 23124 KB Output is correct
48 Correct 56 ms 23376 KB Output is correct
49 Correct 55 ms 22864 KB Output is correct
50 Correct 80 ms 23240 KB Output is correct
51 Correct 66 ms 23236 KB Output is correct
52 Correct 73 ms 23124 KB Output is correct
53 Correct 62 ms 23032 KB Output is correct
54 Correct 109 ms 23120 KB Output is correct
55 Correct 84 ms 23124 KB Output is correct
56 Correct 56 ms 22868 KB Output is correct
57 Correct 63 ms 23184 KB Output is correct
58 Correct 56 ms 22920 KB Output is correct
59 Correct 89 ms 23120 KB Output is correct
60 Correct 128 ms 23048 KB Output is correct
61 Correct 60 ms 23124 KB Output is correct
62 Correct 125 ms 22984 KB Output is correct
63 Correct 95 ms 22996 KB Output is correct
64 Correct 52 ms 22984 KB Output is correct
65 Correct 77 ms 23120 KB Output is correct
66 Correct 74 ms 23124 KB Output is correct
67 Correct 75 ms 23144 KB Output is correct
68 Correct 76 ms 22984 KB Output is correct
69 Correct 75 ms 23124 KB Output is correct
70 Correct 75 ms 23124 KB Output is correct
71 Correct 372 ms 47404 KB Output is correct
72 Correct 386 ms 47444 KB Output is correct
73 Correct 682 ms 46036 KB Output is correct
74 Correct 639 ms 46380 KB Output is correct
75 Correct 374 ms 48468 KB Output is correct
76 Correct 1018 ms 46900 KB Output is correct
77 Correct 801 ms 46932 KB Output is correct
78 Correct 240 ms 50516 KB Output is correct
79 Correct 203 ms 44372 KB Output is correct
80 Correct 380 ms 47576 KB Output is correct
81 Correct 453 ms 47444 KB Output is correct
82 Correct 573 ms 46280 KB Output is correct
83 Correct 424 ms 45652 KB Output is correct
84 Correct 1201 ms 46540 KB Output is correct
85 Correct 749 ms 46584 KB Output is correct
86 Correct 223 ms 44368 KB Output is correct
87 Correct 378 ms 47764 KB Output is correct
88 Correct 218 ms 44492 KB Output is correct
89 Correct 684 ms 46052 KB Output is correct
90 Correct 1714 ms 46652 KB Output is correct
91 Correct 397 ms 45508 KB Output is correct
92 Correct 934 ms 46792 KB Output is correct
93 Correct 769 ms 46548 KB Output is correct
94 Correct 220 ms 44368 KB Output is correct
95 Correct 678 ms 46604 KB Output is correct
96 Correct 646 ms 46672 KB Output is correct
97 Correct 668 ms 46676 KB Output is correct
98 Correct 651 ms 46928 KB Output is correct
99 Correct 664 ms 46808 KB Output is correct
100 Correct 655 ms 46804 KB Output is correct