Submission #414658

# Submission time Handle Problem Language Result Execution time Memory
414658 2021-05-30T23:58:41 Z JerryLiu06 Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
1132 ms 43312 KB
#include <bits/stdc++.h>
 
using namespace std;
 
using ll = long long;
using db = long double;
using str = string;
 
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using pd = pair<db, db>;
 
using vi = vector<int>;
using vb = vector<bool>;
using vl = vector<ll>;
using vd = vector<db>;
using vs = vector<str>;
using vpi = vector<pi>;
using vpl = vector<pl>;
using vpd = vector<pd>;
 
#define mp make_pair
#define f first
#define s second

#define sz(x) (int)(x).size()
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define sor(x) sort(all(x))
#define ft front()
#define bk back()
#define pb push_back
#define pf push_front
 
#define lb lower_bound
#define ub upper_bound
 
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) FOR(i, 0, a)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define R0F(i, a) ROF(i, 0, a)
#define EACH(a, x) for (auto& a : x)

const int MOD = 1e9 + 7;
const int MX = 20;
const ll INF = 1e18;

int L, Q; string S; int A, B, C; // A = '0', B = '1', C = '?' 

int cntA, cntB, cntC;

int cnt[(1 << MX)], sup[(1 << MX)], sub[(1 << MX)]; // sup - SUM_{mask \in i}, sub - SUM_{i \in mask}

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

    cin >> L >> Q >> S; F0R(i, (1 << L)) sup[i] = sub[i] = S[i] - '0', cnt[i] = __builtin_popcount(i);

    F0R(i, L) F0R(j, (1 << L)) {
        if (!(j & (1 << i))) sup[j] += sup[j ^ (1 << i)];
        if ((j & (1 << i)))  sub[j] += sub[j ^ (1 << i)];
    }
    F0R(i, Q) {
        string cur; cin >> cur; A = B = C = cntA = cntB = cntC = 0; ll ans = 0;

        F0R(j, L) {
            if (cur[j] == '0') A ^= (1 << (L - j - 1)), cntA++;
            if (cur[j] == '1') B ^= (1 << (L - j - 1)), cntB++;
            if (cur[j] == '?') C ^= (1 << (L - j - 1)), cntC++;
        }
        if (cntA <= L / 3) {
            for (int X = A; X > 0; X = (X - 1) & A) {
                ans += (1 - 2 * (cnt[X] & 1)) * sup[B | X];
            }
            ans += sup[B]; cout << ans << "\n";
        }
        else if (cntB <= L / 3) {
            for (int X = B; X > 0; X = (X - 1) & B) {
                ans += (1 - 2 * (cnt[X] & 1)) * sub[C | X];
            }
            ans += sub[C]; cout << abs(ans) << "\n";
        }
        else { for (int X = C; X > 0; X = (X - 1) & C) ans += S[B | X] - '0'; ans += S[B] - '0'; cout << ans << "\n"; }
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 2 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 328 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
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 2 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 328 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 244 ms 15156 KB Output is correct
12 Correct 262 ms 14660 KB Output is correct
13 Correct 284 ms 13932 KB Output is correct
14 Correct 282 ms 14148 KB Output is correct
15 Correct 250 ms 15044 KB Output is correct
16 Correct 277 ms 14228 KB Output is correct
17 Correct 296 ms 14344 KB Output is correct
18 Correct 204 ms 16032 KB Output is correct
19 Correct 242 ms 12996 KB Output is correct
20 Correct 259 ms 14788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 2 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 328 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 244 ms 15156 KB Output is correct
12 Correct 262 ms 14660 KB Output is correct
13 Correct 284 ms 13932 KB Output is correct
14 Correct 282 ms 14148 KB Output is correct
15 Correct 250 ms 15044 KB Output is correct
16 Correct 277 ms 14228 KB Output is correct
17 Correct 296 ms 14344 KB Output is correct
18 Correct 204 ms 16032 KB Output is correct
19 Correct 242 ms 12996 KB Output is correct
20 Correct 259 ms 14788 KB Output is correct
21 Correct 260 ms 18040 KB Output is correct
22 Correct 305 ms 18224 KB Output is correct
23 Correct 341 ms 17300 KB Output is correct
24 Correct 341 ms 17220 KB Output is correct
25 Correct 287 ms 19140 KB Output is correct
26 Correct 350 ms 17692 KB Output is correct
27 Correct 342 ms 17612 KB Output is correct
28 Correct 217 ms 20164 KB Output is correct
29 Correct 267 ms 16152 KB Output is correct
30 Correct 279 ms 18348 KB Output is correct
31 Correct 312 ms 18124 KB Output is correct
32 Correct 339 ms 18120 KB Output is correct
33 Correct 281 ms 17092 KB Output is correct
34 Correct 339 ms 17072 KB Output is correct
35 Correct 343 ms 17612 KB Output is correct
36 Correct 205 ms 16276 KB Output is correct
37 Correct 272 ms 18212 KB Output is correct
38 Correct 278 ms 16068 KB Output is correct
39 Correct 320 ms 17348 KB Output is correct
40 Correct 328 ms 17092 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 2 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 328 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 57 ms 16056 KB Output is correct
12 Correct 55 ms 16032 KB Output is correct
13 Correct 73 ms 15940 KB Output is correct
14 Correct 70 ms 15976 KB Output is correct
15 Correct 55 ms 16096 KB Output is correct
16 Correct 74 ms 15936 KB Output is correct
17 Correct 77 ms 16068 KB Output is correct
18 Correct 50 ms 16156 KB Output is correct
19 Correct 56 ms 15820 KB Output is correct
20 Correct 59 ms 15980 KB Output is correct
21 Correct 62 ms 16072 KB Output is correct
22 Correct 86 ms 15960 KB Output is correct
23 Correct 54 ms 15972 KB Output is correct
24 Correct 88 ms 15992 KB Output is correct
25 Correct 82 ms 15940 KB Output is correct
26 Correct 51 ms 15924 KB Output is correct
27 Correct 54 ms 15972 KB Output is correct
28 Correct 59 ms 15816 KB Output is correct
29 Correct 68 ms 15912 KB Output is correct
30 Correct 63 ms 15932 KB Output is correct
31 Correct 57 ms 15912 KB Output is correct
32 Correct 96 ms 16036 KB Output is correct
33 Correct 82 ms 16020 KB Output is correct
34 Correct 50 ms 15908 KB Output is correct
35 Correct 68 ms 15932 KB Output is correct
36 Correct 67 ms 15944 KB Output is correct
37 Correct 69 ms 15944 KB Output is correct
38 Correct 78 ms 15948 KB Output is correct
39 Correct 70 ms 15976 KB Output is correct
40 Correct 75 ms 15940 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 2 ms 328 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 2 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 328 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 244 ms 15156 KB Output is correct
12 Correct 262 ms 14660 KB Output is correct
13 Correct 284 ms 13932 KB Output is correct
14 Correct 282 ms 14148 KB Output is correct
15 Correct 250 ms 15044 KB Output is correct
16 Correct 277 ms 14228 KB Output is correct
17 Correct 296 ms 14344 KB Output is correct
18 Correct 204 ms 16032 KB Output is correct
19 Correct 242 ms 12996 KB Output is correct
20 Correct 259 ms 14788 KB Output is correct
21 Correct 260 ms 18040 KB Output is correct
22 Correct 305 ms 18224 KB Output is correct
23 Correct 341 ms 17300 KB Output is correct
24 Correct 341 ms 17220 KB Output is correct
25 Correct 287 ms 19140 KB Output is correct
26 Correct 350 ms 17692 KB Output is correct
27 Correct 342 ms 17612 KB Output is correct
28 Correct 217 ms 20164 KB Output is correct
29 Correct 267 ms 16152 KB Output is correct
30 Correct 279 ms 18348 KB Output is correct
31 Correct 312 ms 18124 KB Output is correct
32 Correct 339 ms 18120 KB Output is correct
33 Correct 281 ms 17092 KB Output is correct
34 Correct 339 ms 17072 KB Output is correct
35 Correct 343 ms 17612 KB Output is correct
36 Correct 205 ms 16276 KB Output is correct
37 Correct 272 ms 18212 KB Output is correct
38 Correct 278 ms 16068 KB Output is correct
39 Correct 320 ms 17348 KB Output is correct
40 Correct 328 ms 17092 KB Output is correct
41 Correct 57 ms 16056 KB Output is correct
42 Correct 55 ms 16032 KB Output is correct
43 Correct 73 ms 15940 KB Output is correct
44 Correct 70 ms 15976 KB Output is correct
45 Correct 55 ms 16096 KB Output is correct
46 Correct 74 ms 15936 KB Output is correct
47 Correct 77 ms 16068 KB Output is correct
48 Correct 50 ms 16156 KB Output is correct
49 Correct 56 ms 15820 KB Output is correct
50 Correct 59 ms 15980 KB Output is correct
51 Correct 62 ms 16072 KB Output is correct
52 Correct 86 ms 15960 KB Output is correct
53 Correct 54 ms 15972 KB Output is correct
54 Correct 88 ms 15992 KB Output is correct
55 Correct 82 ms 15940 KB Output is correct
56 Correct 51 ms 15924 KB Output is correct
57 Correct 54 ms 15972 KB Output is correct
58 Correct 59 ms 15816 KB Output is correct
59 Correct 68 ms 15912 KB Output is correct
60 Correct 63 ms 15932 KB Output is correct
61 Correct 57 ms 15912 KB Output is correct
62 Correct 96 ms 16036 KB Output is correct
63 Correct 82 ms 16020 KB Output is correct
64 Correct 50 ms 15908 KB Output is correct
65 Correct 68 ms 15932 KB Output is correct
66 Correct 67 ms 15944 KB Output is correct
67 Correct 69 ms 15944 KB Output is correct
68 Correct 78 ms 15948 KB Output is correct
69 Correct 70 ms 15976 KB Output is correct
70 Correct 75 ms 15940 KB Output is correct
71 Correct 463 ms 40508 KB Output is correct
72 Correct 533 ms 40588 KB Output is correct
73 Correct 717 ms 39036 KB Output is correct
74 Correct 873 ms 39396 KB Output is correct
75 Correct 483 ms 41392 KB Output is correct
76 Correct 829 ms 39740 KB Output is correct
77 Correct 836 ms 39520 KB Output is correct
78 Correct 327 ms 43312 KB Output is correct
79 Correct 438 ms 37300 KB Output is correct
80 Correct 437 ms 40548 KB Output is correct
81 Correct 619 ms 40300 KB Output is correct
82 Correct 809 ms 39332 KB Output is correct
83 Correct 472 ms 38500 KB Output is correct
84 Correct 877 ms 39332 KB Output is correct
85 Correct 839 ms 39560 KB Output is correct
86 Correct 315 ms 37272 KB Output is correct
87 Correct 474 ms 40324 KB Output is correct
88 Correct 481 ms 37484 KB Output is correct
89 Correct 744 ms 39012 KB Output is correct
90 Correct 594 ms 39472 KB Output is correct
91 Correct 540 ms 38500 KB Output is correct
92 Correct 1132 ms 39652 KB Output is correct
93 Correct 906 ms 39764 KB Output is correct
94 Correct 317 ms 37348 KB Output is correct
95 Correct 777 ms 39352 KB Output is correct
96 Correct 799 ms 39496 KB Output is correct
97 Correct 770 ms 39356 KB Output is correct
98 Correct 826 ms 39448 KB Output is correct
99 Correct 836 ms 39436 KB Output is correct
100 Correct 745 ms 39348 KB Output is correct