#include <bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pcc pair<char,char>
#define vi vector <int>
#define vl vector <ll>
#define sd(x) scanf("%d",&x)
#define slld(x) scanf("%lld",&x)
#define pd(x) printf("%d",x)
#define plld(x) printf("%lld",x)
#define pds(x) printf("%d ",x)
#define pllds(x) printf("%lld ",x)
#define pdn(x) printf("%d\n",x)
#define plldn(x) printf("%lld\n",x)
using namespace std;
ll powmod(ll base,ll exponent,ll mod){
ll ans=1;
if(base<0) base+=mod;
while(exponent){
if(exponent&1)ans=(ans*base)%mod;
base=(base*base)%mod;
exponent/=2;
}
return ans;
}
ll gcd(ll a, ll b){
if(b==0) return a;
else return gcd(b,a%b);
}
const int INF = 2e9;
const ll INFLL = 4e18;
const int upperlimit = 5e3+1;
const int mod = 998244353;
const int N = 20;
int poison[1<<N];
int zer_sum[1<<N];
int one_sum[1<<N];
int pop_cnt[1<<N];
void subset_sum(int *a, int n){
for(int i = 0; i < n; i++){
for(int j = 0; j < (1<<n); j += (1<<(i+1))){
for(int k = j; k < j + (1<<i); k++){
a[k+(1<<i)] += a[k];
}
}
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int l,q;
string pos;
cin >> l >> q >> pos;
for(int i = 0; i < (1<<l); i++){
poison[i] = pos[i]-'0';
one_sum[i] = poison[i];
zer_sum[(1<<l)-1-i] = poison[i];
pop_cnt[i] = pop_cnt[i>>1] + (i&1);
}
subset_sum(one_sum,l);
subset_sum(zer_sum,l);
int zer_mask,one_mask,q_mask,zer,one,ques,ans;
while(q--){
zer = one = ques = zer_mask = one_mask = q_mask = ans = 0;
cin >> pos;
for(int i = 0; i < l; i++){
if(pos[i] == '?'){
ques++;
q_mask |= (1<<(l-i-1));
}
else if(pos[i] == '0'){
zer++;
zer_mask |= (1<<(l-i-1));
}
else{
one++;
one_mask |= (1<<(l-i-1));
}
}
if((ques <= zer) && (ques <= one)){
for(int mask = q_mask; mask > 0; mask = (mask-1)&q_mask){
ans += poison[mask^one_mask];
}
ans += poison[one_mask];
}
else if (zer <= one){
for(int mask = zer_mask; mask > 0; mask = (mask-1)&zer_mask){
if(pop_cnt[zer_mask^mask]&1) ans -= zer_sum[q_mask^mask];
else ans += zer_sum[q_mask^mask];
}
if(pop_cnt[zer_mask]&1) ans -= zer_sum[q_mask];
else ans += zer_sum[q_mask];
}
else{
for(int mask = one_mask; mask > 0; mask = (mask-1)&one_mask){
if(pop_cnt[one_mask^mask]&1) ans -= one_sum[q_mask^mask];
else ans += one_sum[q_mask^mask];
}
if(pop_cnt[one_mask]&1) ans -= one_sum[q_mask];
else ans += one_sum[q_mask];
}
cout << ans << "\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
166 ms |
15120 KB |
Output is correct |
12 |
Correct |
171 ms |
14804 KB |
Output is correct |
13 |
Correct |
194 ms |
14028 KB |
Output is correct |
14 |
Correct |
191 ms |
14064 KB |
Output is correct |
15 |
Correct |
185 ms |
15084 KB |
Output is correct |
16 |
Correct |
202 ms |
14192 KB |
Output is correct |
17 |
Correct |
208 ms |
14232 KB |
Output is correct |
18 |
Correct |
134 ms |
16080 KB |
Output is correct |
19 |
Correct |
162 ms |
13124 KB |
Output is correct |
20 |
Correct |
185 ms |
14720 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
166 ms |
15120 KB |
Output is correct |
12 |
Correct |
171 ms |
14804 KB |
Output is correct |
13 |
Correct |
194 ms |
14028 KB |
Output is correct |
14 |
Correct |
191 ms |
14064 KB |
Output is correct |
15 |
Correct |
185 ms |
15084 KB |
Output is correct |
16 |
Correct |
202 ms |
14192 KB |
Output is correct |
17 |
Correct |
208 ms |
14232 KB |
Output is correct |
18 |
Correct |
134 ms |
16080 KB |
Output is correct |
19 |
Correct |
162 ms |
13124 KB |
Output is correct |
20 |
Correct |
185 ms |
14720 KB |
Output is correct |
21 |
Correct |
181 ms |
18204 KB |
Output is correct |
22 |
Correct |
194 ms |
18280 KB |
Output is correct |
23 |
Correct |
218 ms |
17344 KB |
Output is correct |
24 |
Correct |
221 ms |
17164 KB |
Output is correct |
25 |
Correct |
215 ms |
19148 KB |
Output is correct |
26 |
Correct |
241 ms |
17648 KB |
Output is correct |
27 |
Correct |
233 ms |
17628 KB |
Output is correct |
28 |
Correct |
146 ms |
20120 KB |
Output is correct |
29 |
Correct |
178 ms |
16176 KB |
Output is correct |
30 |
Correct |
199 ms |
18288 KB |
Output is correct |
31 |
Correct |
238 ms |
18100 KB |
Output is correct |
32 |
Correct |
226 ms |
18192 KB |
Output is correct |
33 |
Correct |
198 ms |
17136 KB |
Output is correct |
34 |
Correct |
222 ms |
17188 KB |
Output is correct |
35 |
Correct |
243 ms |
17584 KB |
Output is correct |
36 |
Correct |
159 ms |
16204 KB |
Output is correct |
37 |
Correct |
186 ms |
18264 KB |
Output is correct |
38 |
Correct |
205 ms |
16152 KB |
Output is correct |
39 |
Correct |
228 ms |
17364 KB |
Output is correct |
40 |
Correct |
220 ms |
17220 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
45 ms |
20176 KB |
Output is correct |
12 |
Correct |
41 ms |
20196 KB |
Output is correct |
13 |
Correct |
36 ms |
20084 KB |
Output is correct |
14 |
Correct |
43 ms |
20088 KB |
Output is correct |
15 |
Correct |
35 ms |
20140 KB |
Output is correct |
16 |
Correct |
44 ms |
20096 KB |
Output is correct |
17 |
Correct |
50 ms |
20088 KB |
Output is correct |
18 |
Correct |
31 ms |
20308 KB |
Output is correct |
19 |
Correct |
34 ms |
19936 KB |
Output is correct |
20 |
Correct |
41 ms |
20176 KB |
Output is correct |
21 |
Correct |
37 ms |
20184 KB |
Output is correct |
22 |
Correct |
42 ms |
20076 KB |
Output is correct |
23 |
Correct |
34 ms |
20076 KB |
Output is correct |
24 |
Correct |
44 ms |
20040 KB |
Output is correct |
25 |
Correct |
47 ms |
20132 KB |
Output is correct |
26 |
Correct |
35 ms |
20072 KB |
Output is correct |
27 |
Correct |
43 ms |
20168 KB |
Output is correct |
28 |
Correct |
34 ms |
20012 KB |
Output is correct |
29 |
Correct |
37 ms |
20056 KB |
Output is correct |
30 |
Correct |
41 ms |
20132 KB |
Output is correct |
31 |
Correct |
33 ms |
20080 KB |
Output is correct |
32 |
Correct |
50 ms |
20056 KB |
Output is correct |
33 |
Correct |
49 ms |
20120 KB |
Output is correct |
34 |
Correct |
28 ms |
20008 KB |
Output is correct |
35 |
Correct |
40 ms |
20116 KB |
Output is correct |
36 |
Correct |
56 ms |
20124 KB |
Output is correct |
37 |
Correct |
40 ms |
20136 KB |
Output is correct |
38 |
Correct |
39 ms |
20056 KB |
Output is correct |
39 |
Correct |
40 ms |
20056 KB |
Output is correct |
40 |
Correct |
42 ms |
20060 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
166 ms |
15120 KB |
Output is correct |
12 |
Correct |
171 ms |
14804 KB |
Output is correct |
13 |
Correct |
194 ms |
14028 KB |
Output is correct |
14 |
Correct |
191 ms |
14064 KB |
Output is correct |
15 |
Correct |
185 ms |
15084 KB |
Output is correct |
16 |
Correct |
202 ms |
14192 KB |
Output is correct |
17 |
Correct |
208 ms |
14232 KB |
Output is correct |
18 |
Correct |
134 ms |
16080 KB |
Output is correct |
19 |
Correct |
162 ms |
13124 KB |
Output is correct |
20 |
Correct |
185 ms |
14720 KB |
Output is correct |
21 |
Correct |
181 ms |
18204 KB |
Output is correct |
22 |
Correct |
194 ms |
18280 KB |
Output is correct |
23 |
Correct |
218 ms |
17344 KB |
Output is correct |
24 |
Correct |
221 ms |
17164 KB |
Output is correct |
25 |
Correct |
215 ms |
19148 KB |
Output is correct |
26 |
Correct |
241 ms |
17648 KB |
Output is correct |
27 |
Correct |
233 ms |
17628 KB |
Output is correct |
28 |
Correct |
146 ms |
20120 KB |
Output is correct |
29 |
Correct |
178 ms |
16176 KB |
Output is correct |
30 |
Correct |
199 ms |
18288 KB |
Output is correct |
31 |
Correct |
238 ms |
18100 KB |
Output is correct |
32 |
Correct |
226 ms |
18192 KB |
Output is correct |
33 |
Correct |
198 ms |
17136 KB |
Output is correct |
34 |
Correct |
222 ms |
17188 KB |
Output is correct |
35 |
Correct |
243 ms |
17584 KB |
Output is correct |
36 |
Correct |
159 ms |
16204 KB |
Output is correct |
37 |
Correct |
186 ms |
18264 KB |
Output is correct |
38 |
Correct |
205 ms |
16152 KB |
Output is correct |
39 |
Correct |
228 ms |
17364 KB |
Output is correct |
40 |
Correct |
220 ms |
17220 KB |
Output is correct |
41 |
Correct |
45 ms |
20176 KB |
Output is correct |
42 |
Correct |
41 ms |
20196 KB |
Output is correct |
43 |
Correct |
36 ms |
20084 KB |
Output is correct |
44 |
Correct |
43 ms |
20088 KB |
Output is correct |
45 |
Correct |
35 ms |
20140 KB |
Output is correct |
46 |
Correct |
44 ms |
20096 KB |
Output is correct |
47 |
Correct |
50 ms |
20088 KB |
Output is correct |
48 |
Correct |
31 ms |
20308 KB |
Output is correct |
49 |
Correct |
34 ms |
19936 KB |
Output is correct |
50 |
Correct |
41 ms |
20176 KB |
Output is correct |
51 |
Correct |
37 ms |
20184 KB |
Output is correct |
52 |
Correct |
42 ms |
20076 KB |
Output is correct |
53 |
Correct |
34 ms |
20076 KB |
Output is correct |
54 |
Correct |
44 ms |
20040 KB |
Output is correct |
55 |
Correct |
47 ms |
20132 KB |
Output is correct |
56 |
Correct |
35 ms |
20072 KB |
Output is correct |
57 |
Correct |
43 ms |
20168 KB |
Output is correct |
58 |
Correct |
34 ms |
20012 KB |
Output is correct |
59 |
Correct |
37 ms |
20056 KB |
Output is correct |
60 |
Correct |
41 ms |
20132 KB |
Output is correct |
61 |
Correct |
33 ms |
20080 KB |
Output is correct |
62 |
Correct |
50 ms |
20056 KB |
Output is correct |
63 |
Correct |
49 ms |
20120 KB |
Output is correct |
64 |
Correct |
28 ms |
20008 KB |
Output is correct |
65 |
Correct |
40 ms |
20116 KB |
Output is correct |
66 |
Correct |
56 ms |
20124 KB |
Output is correct |
67 |
Correct |
40 ms |
20136 KB |
Output is correct |
68 |
Correct |
39 ms |
20056 KB |
Output is correct |
69 |
Correct |
40 ms |
20056 KB |
Output is correct |
70 |
Correct |
42 ms |
20060 KB |
Output is correct |
71 |
Correct |
261 ms |
44492 KB |
Output is correct |
72 |
Correct |
288 ms |
44536 KB |
Output is correct |
73 |
Correct |
342 ms |
43108 KB |
Output is correct |
74 |
Correct |
459 ms |
43380 KB |
Output is correct |
75 |
Correct |
291 ms |
45428 KB |
Output is correct |
76 |
Correct |
504 ms |
43676 KB |
Output is correct |
77 |
Correct |
487 ms |
43564 KB |
Output is correct |
78 |
Correct |
192 ms |
47408 KB |
Output is correct |
79 |
Correct |
261 ms |
41464 KB |
Output is correct |
80 |
Correct |
268 ms |
44600 KB |
Output is correct |
81 |
Correct |
359 ms |
44436 KB |
Output is correct |
82 |
Correct |
457 ms |
43408 KB |
Output is correct |
83 |
Correct |
281 ms |
42608 KB |
Output is correct |
84 |
Correct |
463 ms |
43408 KB |
Output is correct |
85 |
Correct |
560 ms |
43764 KB |
Output is correct |
86 |
Correct |
177 ms |
41420 KB |
Output is correct |
87 |
Correct |
282 ms |
44512 KB |
Output is correct |
88 |
Correct |
260 ms |
41372 KB |
Output is correct |
89 |
Correct |
368 ms |
43068 KB |
Output is correct |
90 |
Correct |
370 ms |
43472 KB |
Output is correct |
91 |
Correct |
270 ms |
42560 KB |
Output is correct |
92 |
Correct |
583 ms |
43872 KB |
Output is correct |
93 |
Correct |
489 ms |
43616 KB |
Output is correct |
94 |
Correct |
186 ms |
41308 KB |
Output is correct |
95 |
Correct |
440 ms |
43532 KB |
Output is correct |
96 |
Correct |
511 ms |
43548 KB |
Output is correct |
97 |
Correct |
411 ms |
43508 KB |
Output is correct |
98 |
Correct |
441 ms |
43460 KB |
Output is correct |
99 |
Correct |
438 ms |
43536 KB |
Output is correct |
100 |
Correct |
466 ms |
43516 KB |
Output is correct |