Submission #872862

# Submission time Handle Problem Language Result Execution time Memory
872862 2023-11-14T02:14:26 Z azberjibiou Snake Escaping (JOI18_snake_escaping) C++17
100 / 100
943 ms 54864 KB
#include <bits/stdc++.h>
#define all(v) v.begin(), v.end()
#define pb push_back
#define lb lower_bound
#define gibon ios::sync_with_stdio(false); cin.tie(0);
#define fi first
#define se second
#define pii pair<int, int>
#define pll pair<ll, ll>
typedef long long ll;
using namespace std;
const int mxN=1100005;
const int mxM=500004;
const int mxK=30;
const int MOD=1'000'000'007;
const ll INF=8e18;
int L, Q;
char B[mxN];
int A[mxN];
char qry[mxK];
int dp1[mxN], dp0[mxN];
int one[mxN], oi;
int zero[mxN], zi;
int oz[mxN], ozi;
int pc[mxN];    ///popcount
void input(){
    cin >> L >> Q;
    cin >> B;
    for(int i=0;i<(1<<L);i++) A[i]=B[i]-'0';
}
void precalc(){
    for(int i=0;i<(1<<L);i++)   pc[i]=__builtin_popcount(i)%2;
    for(int i=0;i<(1<<L);i++)   dp1[i]=dp0[i]=A[i];
    for(int i=0;i<L;i++){
        for(int j=0;j<(1<<L);j++){
            if(j&(1<<i)) dp1[j]+=dp1[j^(1<<i)];
            else dp0[j]+=dp0[j^(1<<i)];
        }
    }
}
void solv_one(){
    ll res=0;
    int idx=0;
    for(int i=0;i<L;i++)    if(qry[i]=='?') idx+=(1<<i);
    int M=(1<<oi)-1;
    for(int i=0;i<(1<<oi);i++){
        int ni=0;
        for(int j=0;j<oi;j++){
            if((1<<j)&i)    ni+=(1<<one[j]);
        }
        //printf("idx=%d, ni=%d\n", idx, ni);
        if(pc[i^M]==0)    res+=dp1[idx+ni];
        else    res-=dp1[idx+ni];
    }
    cout << res << '\n';
}
void solv_zero(){
    ll res=0;
    int idx=0;
    int M=(1<<zi)-1;
    for(int i=0;i<L;i++)    if(qry[i]=='?') idx+=(1<<i);
    for(int i=0;i<(1<<zi);i++){
        int ni=0;
        for(int j=0;j<zi;j++){
            if((1<<j)&i)    ni+=(1<<zero[j]);
        }
        //printf("idx=%d, ni=%d\n", idx, ni);
        if(pc[i^M]==0)    res+=dp0[(1<<L)-1-idx-ni];
        else    res-=dp0[(1<<L)-1-idx-ni];
    }
    cout << res << '\n';
}
void solv_oz(){
    ll res=0;
    int idx=0;
    for(int i=0;i<L;i++)    if(qry[i]=='1') idx+=(1<<i);
    for(int i=0;i<(1<<ozi);i++){
        int ni=0;
        for(int j=0;j<ozi;j++){
            if((1<<j)&i)    ni+=(1<<oz[j]);
        }
        res+=A[ni+idx];
    }
    cout << res << '\n';
}
int main()
{
    gibon
    input();
    precalc();
    while(Q--){
        cin >> qry;
        reverse(qry, qry+L);
        oi=zi=ozi=0;
        for(int i=0;i<L;i++){
            if(qry[i]=='1') one[oi++]=i;
            if(qry[i]=='0') zero[zi++]=i;
            if(qry[i]=='?') oz[ozi++]=i;
        }
        if(oi<=zi && oi<=ozi)   solv_one();
        else if(zi<=oi && zi<=ozi)  solv_zero();
        else    solv_oz();
    }
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14844 KB Output is correct
3 Correct 2 ms 14684 KB Output is correct
4 Correct 2 ms 14684 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 3 ms 14684 KB Output is correct
7 Correct 2 ms 14684 KB Output is correct
8 Correct 4 ms 14820 KB Output is correct
9 Correct 2 ms 14680 KB Output is correct
10 Correct 2 ms 14684 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14844 KB Output is correct
3 Correct 2 ms 14684 KB Output is correct
4 Correct 2 ms 14684 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 3 ms 14684 KB Output is correct
7 Correct 2 ms 14684 KB Output is correct
8 Correct 4 ms 14820 KB Output is correct
9 Correct 2 ms 14680 KB Output is correct
10 Correct 2 ms 14684 KB Output is correct
11 Correct 189 ms 29344 KB Output is correct
12 Correct 222 ms 29328 KB Output is correct
13 Correct 237 ms 28500 KB Output is correct
14 Correct 266 ms 28536 KB Output is correct
15 Correct 235 ms 29524 KB Output is correct
16 Correct 269 ms 28628 KB Output is correct
17 Correct 262 ms 28736 KB Output is correct
18 Correct 150 ms 30376 KB Output is correct
19 Correct 169 ms 27476 KB Output is correct
20 Correct 220 ms 29188 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14844 KB Output is correct
3 Correct 2 ms 14684 KB Output is correct
4 Correct 2 ms 14684 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 3 ms 14684 KB Output is correct
7 Correct 2 ms 14684 KB Output is correct
8 Correct 4 ms 14820 KB Output is correct
9 Correct 2 ms 14680 KB Output is correct
10 Correct 2 ms 14684 KB Output is correct
11 Correct 189 ms 29344 KB Output is correct
12 Correct 222 ms 29328 KB Output is correct
13 Correct 237 ms 28500 KB Output is correct
14 Correct 266 ms 28536 KB Output is correct
15 Correct 235 ms 29524 KB Output is correct
16 Correct 269 ms 28628 KB Output is correct
17 Correct 262 ms 28736 KB Output is correct
18 Correct 150 ms 30376 KB Output is correct
19 Correct 169 ms 27476 KB Output is correct
20 Correct 220 ms 29188 KB Output is correct
21 Correct 245 ms 32432 KB Output is correct
22 Correct 263 ms 32572 KB Output is correct
23 Correct 291 ms 31572 KB Output is correct
24 Correct 320 ms 31560 KB Output is correct
25 Correct 284 ms 33320 KB Output is correct
26 Correct 337 ms 31992 KB Output is correct
27 Correct 340 ms 31556 KB Output is correct
28 Correct 179 ms 34432 KB Output is correct
29 Correct 234 ms 30580 KB Output is correct
30 Correct 267 ms 32520 KB Output is correct
31 Correct 309 ms 32340 KB Output is correct
32 Correct 335 ms 32552 KB Output is correct
33 Correct 259 ms 31444 KB Output is correct
34 Correct 328 ms 31556 KB Output is correct
35 Correct 334 ms 32124 KB Output is correct
36 Correct 150 ms 30496 KB Output is correct
37 Correct 248 ms 32404 KB Output is correct
38 Correct 249 ms 30336 KB Output is correct
39 Correct 299 ms 31568 KB Output is correct
40 Correct 339 ms 31452 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14844 KB Output is correct
3 Correct 2 ms 14684 KB Output is correct
4 Correct 2 ms 14684 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 3 ms 14684 KB Output is correct
7 Correct 2 ms 14684 KB Output is correct
8 Correct 4 ms 14820 KB Output is correct
9 Correct 2 ms 14680 KB Output is correct
10 Correct 2 ms 14684 KB Output is correct
11 Correct 40 ms 27724 KB Output is correct
12 Correct 49 ms 27740 KB Output is correct
13 Correct 46 ms 27472 KB Output is correct
14 Correct 71 ms 27476 KB Output is correct
15 Correct 40 ms 27728 KB Output is correct
16 Correct 65 ms 27704 KB Output is correct
17 Correct 64 ms 27652 KB Output is correct
18 Correct 32 ms 27712 KB Output is correct
19 Correct 41 ms 27604 KB Output is correct
20 Correct 47 ms 27540 KB Output is correct
21 Correct 53 ms 27728 KB Output is correct
22 Correct 70 ms 27476 KB Output is correct
23 Correct 40 ms 27632 KB Output is correct
24 Correct 67 ms 27468 KB Output is correct
25 Correct 67 ms 27700 KB Output is correct
26 Correct 31 ms 27468 KB Output is correct
27 Correct 40 ms 27728 KB Output is correct
28 Correct 40 ms 27468 KB Output is correct
29 Correct 52 ms 27532 KB Output is correct
30 Correct 65 ms 27472 KB Output is correct
31 Correct 39 ms 27472 KB Output is correct
32 Correct 62 ms 27468 KB Output is correct
33 Correct 80 ms 27740 KB Output is correct
34 Correct 31 ms 27476 KB Output is correct
35 Correct 53 ms 27472 KB Output is correct
36 Correct 65 ms 27492 KB Output is correct
37 Correct 60 ms 27688 KB Output is correct
38 Correct 53 ms 27476 KB Output is correct
39 Correct 56 ms 27640 KB Output is correct
40 Correct 58 ms 27480 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 14684 KB Output is correct
2 Correct 2 ms 14844 KB Output is correct
3 Correct 2 ms 14684 KB Output is correct
4 Correct 2 ms 14684 KB Output is correct
5 Correct 2 ms 14684 KB Output is correct
6 Correct 3 ms 14684 KB Output is correct
7 Correct 2 ms 14684 KB Output is correct
8 Correct 4 ms 14820 KB Output is correct
9 Correct 2 ms 14680 KB Output is correct
10 Correct 2 ms 14684 KB Output is correct
11 Correct 189 ms 29344 KB Output is correct
12 Correct 222 ms 29328 KB Output is correct
13 Correct 237 ms 28500 KB Output is correct
14 Correct 266 ms 28536 KB Output is correct
15 Correct 235 ms 29524 KB Output is correct
16 Correct 269 ms 28628 KB Output is correct
17 Correct 262 ms 28736 KB Output is correct
18 Correct 150 ms 30376 KB Output is correct
19 Correct 169 ms 27476 KB Output is correct
20 Correct 220 ms 29188 KB Output is correct
21 Correct 245 ms 32432 KB Output is correct
22 Correct 263 ms 32572 KB Output is correct
23 Correct 291 ms 31572 KB Output is correct
24 Correct 320 ms 31560 KB Output is correct
25 Correct 284 ms 33320 KB Output is correct
26 Correct 337 ms 31992 KB Output is correct
27 Correct 340 ms 31556 KB Output is correct
28 Correct 179 ms 34432 KB Output is correct
29 Correct 234 ms 30580 KB Output is correct
30 Correct 267 ms 32520 KB Output is correct
31 Correct 309 ms 32340 KB Output is correct
32 Correct 335 ms 32552 KB Output is correct
33 Correct 259 ms 31444 KB Output is correct
34 Correct 328 ms 31556 KB Output is correct
35 Correct 334 ms 32124 KB Output is correct
36 Correct 150 ms 30496 KB Output is correct
37 Correct 248 ms 32404 KB Output is correct
38 Correct 249 ms 30336 KB Output is correct
39 Correct 299 ms 31568 KB Output is correct
40 Correct 339 ms 31452 KB Output is correct
41 Correct 40 ms 27724 KB Output is correct
42 Correct 49 ms 27740 KB Output is correct
43 Correct 46 ms 27472 KB Output is correct
44 Correct 71 ms 27476 KB Output is correct
45 Correct 40 ms 27728 KB Output is correct
46 Correct 65 ms 27704 KB Output is correct
47 Correct 64 ms 27652 KB Output is correct
48 Correct 32 ms 27712 KB Output is correct
49 Correct 41 ms 27604 KB Output is correct
50 Correct 47 ms 27540 KB Output is correct
51 Correct 53 ms 27728 KB Output is correct
52 Correct 70 ms 27476 KB Output is correct
53 Correct 40 ms 27632 KB Output is correct
54 Correct 67 ms 27468 KB Output is correct
55 Correct 67 ms 27700 KB Output is correct
56 Correct 31 ms 27468 KB Output is correct
57 Correct 40 ms 27728 KB Output is correct
58 Correct 40 ms 27468 KB Output is correct
59 Correct 52 ms 27532 KB Output is correct
60 Correct 65 ms 27472 KB Output is correct
61 Correct 39 ms 27472 KB Output is correct
62 Correct 62 ms 27468 KB Output is correct
63 Correct 80 ms 27740 KB Output is correct
64 Correct 31 ms 27476 KB Output is correct
65 Correct 53 ms 27472 KB Output is correct
66 Correct 65 ms 27492 KB Output is correct
67 Correct 60 ms 27688 KB Output is correct
68 Correct 53 ms 27476 KB Output is correct
69 Correct 56 ms 27640 KB Output is correct
70 Correct 58 ms 27480 KB Output is correct
71 Correct 359 ms 52052 KB Output is correct
72 Correct 385 ms 52188 KB Output is correct
73 Correct 523 ms 50516 KB Output is correct
74 Correct 910 ms 51028 KB Output is correct
75 Correct 363 ms 52816 KB Output is correct
76 Correct 900 ms 51540 KB Output is correct
77 Correct 794 ms 51024 KB Output is correct
78 Correct 206 ms 54864 KB Output is correct
79 Correct 364 ms 48980 KB Output is correct
80 Correct 393 ms 52116 KB Output is correct
81 Correct 556 ms 51952 KB Output is correct
82 Correct 943 ms 51036 KB Output is correct
83 Correct 369 ms 50260 KB Output is correct
84 Correct 928 ms 51332 KB Output is correct
85 Correct 898 ms 51080 KB Output is correct
86 Correct 195 ms 48912 KB Output is correct
87 Correct 351 ms 51848 KB Output is correct
88 Correct 354 ms 49028 KB Output is correct
89 Correct 533 ms 50976 KB Output is correct
90 Correct 893 ms 51280 KB Output is correct
91 Correct 334 ms 50004 KB Output is correct
92 Correct 882 ms 51548 KB Output is correct
93 Correct 710 ms 51272 KB Output is correct
94 Correct 191 ms 48936 KB Output is correct
95 Correct 593 ms 51024 KB Output is correct
96 Correct 709 ms 51120 KB Output is correct
97 Correct 606 ms 50904 KB Output is correct
98 Correct 700 ms 51188 KB Output is correct
99 Correct 663 ms 50908 KB Output is correct
100 Correct 631 ms 51144 KB Output is correct