#include <bits/stdc++.h>
#include <bits/extc++.h>
#define StarBurstStream ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define iter(a) a.begin(), a.end()
#define riter(a) a.rbegin(), a.rend()
#define lsort(a) sort(iter(a))
#define gsort(a) sort(riter(a))
#define pb(a) push_back(a)
#define eb(a) emplace_back(a)
#define pf(a) push_front(a)
#define ef(a) emplace_front(a)
#define pob pop_back()
#define pof pop_front()
#define mp(a, b) make_pair(a, b)
#define F first
#define S second
#define mt make_tuple
#define gt(t, i) get<i>(t)
#define tomax(a, b) ((a) = max((a), (b)))
#define tomin(a, b) ((a) = min((a), (b)))
#define topos(a) ((a) = (((a) % MOD + MOD) % MOD))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
using namespace std;
using namespace __gnu_pbds;
#define orz
#ifdef orz
#define print(a...)cerr<<"Line "<<__LINE__<<":",kout("[" + string(#a) + "] = ", a)
void kout() { cerr << endl; }
template<class T1, class ... T2> void kout(T1 a, T2 ... e) { cerr << a << " ", kout(e...); }
#define printv(a, b) {bool pvaspace=false; \
for(auto pva : a){ \
if(pvaspace) b << " "; pvaspace=true;\
b << pva;\
}\
b << "\n";}
#else
#define print(a...)
void kout() {}
template<class T1, class ... T2> void kout(T1 a, T2 ... e) {}
#define printv(a, b)
#endif
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;
using tiii = tuple<int, int, int>;
const ll MOD = 1000000007;
const ll MAX = 2147483647;
template<typename A, typename B>
ostream& operator<<(ostream& o, pair<A, B> p){
return o << '(' << p.F << ',' << p.S << ')';
}
ll ifloor(ll a, ll b){
if(b < 0) a *= -1, b *= -1;
if(a < 0) return (a - b + 1) / b;
else return a / b;
}
ll iceil(ll a, ll b){
if(b < 0) a *= -1, b *= -1;
if(a > 0) return (a + b - 1) / b;
else return a / b;
}
int main(){
StarBurstStream
int L, q;
cin >> L >> q;
int n = 1 << L;
string ts;
cin >> ts;
vector<int> a(n);
for(int i = 0; i < n; i++){
a[i] = ts[i] - '0';
}
vector<int> one(n), zero(n);
for(int i = 0; i < n; i++){
int tmp = 0;
for(int j = 0; j < L; j++){
if(1 << j & i) tmp |= 1 << j;
}
one[tmp] += a[i];
zero[((1 << L) - 1) ^ tmp] += a [i];
}
auto solvedp = [&](vector<int>& dp){
for(int i = 0; i < L; i++){
for(int j = 0; j < n; j++){
if(1 << i & j) continue;
dp[j] += dp[j ^ (1 << i)];
}
}
};
solvedp(zero);
solvedp(one);
/*for(int i = 0; i < n; i++){
cerr << "zero " << bitset<5>(i) << ": " << zero[i] << "\n";
}*/
auto solveq = [&](string& s){
int now = 0;
vector<int> pos;
for(int i = 0; i < L; i++){
if(s[i] == '?') pos.eb(i);
else if(s[i] == '1') now |= 1 << (L - 1 - i);
}
int sz = pos.size();
ll ans = 0;
for(int i = 0; i < (1 << sz); i++){
int tmp = now;
for(int j = 0; j < sz; j++){
if(1 << j & i) tmp |= 1 << (L - 1 - pos[j]);
}
ans += a[tmp];
}
return ans;
};
auto solve0 = [&](string& s){
int now = 0;
vector<int> pos;
for(int i = 0; i < L; i++){
if(s[i] == '0') pos.eb(i);
else if(s[i] == '1') now |= 1 << (L - 1 - i);
}
int sz = pos.size();
ll ans = 0;
for(int i = 0; i < (1 << sz); i++){
int tmp = now;
int cnt = __builtin_popcount(i);
for(int j = 0; j < sz; j++){
if(1 << j & i) tmp |= 1 << (L - 1 - pos[j]);
}
ans += one[tmp] * (cnt % 2 ? -1 : 1);
}
return ans;
};
auto solve1 = [&](string& s){
int now = 0;
vector<int> pos;
for(int i = 0; i < L; i++){
if(s[i] == '1') pos.eb(i);
else if(s[i] == '0') now |= 1 << (L - 1 - i);
}
int sz = pos.size();
ll ans = 0;
for(int i = 0; i < (1 << sz); i++){
int tmp = now;
int cnt = __builtin_popcount(i);
for(int j = 0; j < sz; j++){
if(1 << j & i) tmp |= 1 << (L - 1 - pos[j]);
}
ans += zero[tmp] * (cnt % 2 ? -1 : 1);
}
return ans;
};
while(q--){
string s;
cin >> s;
int o = 0, z = 0, qm = 0;
for(char i : s){
if(i == '0') z++;
else if(i == '1') o++;
else qm++;
}
int mn = min({o, z, qm});
ll ans = 0;
if(mn == z) ans = solve0(s);
else if(mn == o) ans = solve1(s);
else ans = solveq(s);
//ans = solve1(s);
cout << ans << "\n";
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
328 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 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 |
328 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 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
328 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 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 |
328 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 |
214 ms |
4784 KB |
Output is correct |
12 |
Correct |
246 ms |
4536 KB |
Output is correct |
13 |
Correct |
339 ms |
3736 KB |
Output is correct |
14 |
Correct |
408 ms |
3816 KB |
Output is correct |
15 |
Correct |
310 ms |
4752 KB |
Output is correct |
16 |
Correct |
397 ms |
4044 KB |
Output is correct |
17 |
Correct |
374 ms |
3888 KB |
Output is correct |
18 |
Correct |
165 ms |
5964 KB |
Output is correct |
19 |
Correct |
208 ms |
2824 KB |
Output is correct |
20 |
Correct |
248 ms |
4636 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
328 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 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 |
328 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 |
214 ms |
4784 KB |
Output is correct |
12 |
Correct |
246 ms |
4536 KB |
Output is correct |
13 |
Correct |
339 ms |
3736 KB |
Output is correct |
14 |
Correct |
408 ms |
3816 KB |
Output is correct |
15 |
Correct |
310 ms |
4752 KB |
Output is correct |
16 |
Correct |
397 ms |
4044 KB |
Output is correct |
17 |
Correct |
374 ms |
3888 KB |
Output is correct |
18 |
Correct |
165 ms |
5964 KB |
Output is correct |
19 |
Correct |
208 ms |
2824 KB |
Output is correct |
20 |
Correct |
248 ms |
4636 KB |
Output is correct |
21 |
Correct |
271 ms |
4940 KB |
Output is correct |
22 |
Correct |
299 ms |
4988 KB |
Output is correct |
23 |
Correct |
449 ms |
4104 KB |
Output is correct |
24 |
Correct |
539 ms |
3980 KB |
Output is correct |
25 |
Correct |
365 ms |
5964 KB |
Output is correct |
26 |
Correct |
526 ms |
4552 KB |
Output is correct |
27 |
Correct |
491 ms |
4308 KB |
Output is correct |
28 |
Correct |
179 ms |
6932 KB |
Output is correct |
29 |
Correct |
266 ms |
2888 KB |
Output is correct |
30 |
Correct |
299 ms |
5044 KB |
Output is correct |
31 |
Correct |
447 ms |
4836 KB |
Output is correct |
32 |
Correct |
569 ms |
4936 KB |
Output is correct |
33 |
Correct |
350 ms |
3728 KB |
Output is correct |
34 |
Correct |
521 ms |
3964 KB |
Output is correct |
35 |
Correct |
492 ms |
4320 KB |
Output is correct |
36 |
Correct |
191 ms |
2928 KB |
Output is correct |
37 |
Correct |
269 ms |
5152 KB |
Output is correct |
38 |
Correct |
289 ms |
2900 KB |
Output is correct |
39 |
Correct |
433 ms |
4060 KB |
Output is correct |
40 |
Correct |
573 ms |
4016 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
328 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 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 |
328 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 |
157 ms |
14420 KB |
Output is correct |
12 |
Correct |
166 ms |
14452 KB |
Output is correct |
13 |
Correct |
173 ms |
14328 KB |
Output is correct |
14 |
Correct |
200 ms |
14332 KB |
Output is correct |
15 |
Correct |
166 ms |
14576 KB |
Output is correct |
16 |
Correct |
204 ms |
14424 KB |
Output is correct |
17 |
Correct |
196 ms |
14492 KB |
Output is correct |
18 |
Correct |
158 ms |
14608 KB |
Output is correct |
19 |
Correct |
157 ms |
14348 KB |
Output is correct |
20 |
Correct |
158 ms |
14428 KB |
Output is correct |
21 |
Correct |
179 ms |
14424 KB |
Output is correct |
22 |
Correct |
209 ms |
14228 KB |
Output is correct |
23 |
Correct |
161 ms |
14136 KB |
Output is correct |
24 |
Correct |
214 ms |
14212 KB |
Output is correct |
25 |
Correct |
203 ms |
14180 KB |
Output is correct |
26 |
Correct |
149 ms |
14120 KB |
Output is correct |
27 |
Correct |
162 ms |
14360 KB |
Output is correct |
28 |
Correct |
156 ms |
14108 KB |
Output is correct |
29 |
Correct |
175 ms |
14116 KB |
Output is correct |
30 |
Correct |
195 ms |
14208 KB |
Output is correct |
31 |
Correct |
161 ms |
14168 KB |
Output is correct |
32 |
Correct |
209 ms |
14276 KB |
Output is correct |
33 |
Correct |
202 ms |
14268 KB |
Output is correct |
34 |
Correct |
146 ms |
14096 KB |
Output is correct |
35 |
Correct |
184 ms |
14168 KB |
Output is correct |
36 |
Correct |
190 ms |
14292 KB |
Output is correct |
37 |
Correct |
185 ms |
14308 KB |
Output is correct |
38 |
Correct |
186 ms |
14132 KB |
Output is correct |
39 |
Correct |
194 ms |
14124 KB |
Output is correct |
40 |
Correct |
185 ms |
14220 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
328 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 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 |
328 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 |
214 ms |
4784 KB |
Output is correct |
12 |
Correct |
246 ms |
4536 KB |
Output is correct |
13 |
Correct |
339 ms |
3736 KB |
Output is correct |
14 |
Correct |
408 ms |
3816 KB |
Output is correct |
15 |
Correct |
310 ms |
4752 KB |
Output is correct |
16 |
Correct |
397 ms |
4044 KB |
Output is correct |
17 |
Correct |
374 ms |
3888 KB |
Output is correct |
18 |
Correct |
165 ms |
5964 KB |
Output is correct |
19 |
Correct |
208 ms |
2824 KB |
Output is correct |
20 |
Correct |
248 ms |
4636 KB |
Output is correct |
21 |
Correct |
271 ms |
4940 KB |
Output is correct |
22 |
Correct |
299 ms |
4988 KB |
Output is correct |
23 |
Correct |
449 ms |
4104 KB |
Output is correct |
24 |
Correct |
539 ms |
3980 KB |
Output is correct |
25 |
Correct |
365 ms |
5964 KB |
Output is correct |
26 |
Correct |
526 ms |
4552 KB |
Output is correct |
27 |
Correct |
491 ms |
4308 KB |
Output is correct |
28 |
Correct |
179 ms |
6932 KB |
Output is correct |
29 |
Correct |
266 ms |
2888 KB |
Output is correct |
30 |
Correct |
299 ms |
5044 KB |
Output is correct |
31 |
Correct |
447 ms |
4836 KB |
Output is correct |
32 |
Correct |
569 ms |
4936 KB |
Output is correct |
33 |
Correct |
350 ms |
3728 KB |
Output is correct |
34 |
Correct |
521 ms |
3964 KB |
Output is correct |
35 |
Correct |
492 ms |
4320 KB |
Output is correct |
36 |
Correct |
191 ms |
2928 KB |
Output is correct |
37 |
Correct |
269 ms |
5152 KB |
Output is correct |
38 |
Correct |
289 ms |
2900 KB |
Output is correct |
39 |
Correct |
433 ms |
4060 KB |
Output is correct |
40 |
Correct |
573 ms |
4016 KB |
Output is correct |
41 |
Correct |
157 ms |
14420 KB |
Output is correct |
42 |
Correct |
166 ms |
14452 KB |
Output is correct |
43 |
Correct |
173 ms |
14328 KB |
Output is correct |
44 |
Correct |
200 ms |
14332 KB |
Output is correct |
45 |
Correct |
166 ms |
14576 KB |
Output is correct |
46 |
Correct |
204 ms |
14424 KB |
Output is correct |
47 |
Correct |
196 ms |
14492 KB |
Output is correct |
48 |
Correct |
158 ms |
14608 KB |
Output is correct |
49 |
Correct |
157 ms |
14348 KB |
Output is correct |
50 |
Correct |
158 ms |
14428 KB |
Output is correct |
51 |
Correct |
179 ms |
14424 KB |
Output is correct |
52 |
Correct |
209 ms |
14228 KB |
Output is correct |
53 |
Correct |
161 ms |
14136 KB |
Output is correct |
54 |
Correct |
214 ms |
14212 KB |
Output is correct |
55 |
Correct |
203 ms |
14180 KB |
Output is correct |
56 |
Correct |
149 ms |
14120 KB |
Output is correct |
57 |
Correct |
162 ms |
14360 KB |
Output is correct |
58 |
Correct |
156 ms |
14108 KB |
Output is correct |
59 |
Correct |
175 ms |
14116 KB |
Output is correct |
60 |
Correct |
195 ms |
14208 KB |
Output is correct |
61 |
Correct |
161 ms |
14168 KB |
Output is correct |
62 |
Correct |
209 ms |
14276 KB |
Output is correct |
63 |
Correct |
202 ms |
14268 KB |
Output is correct |
64 |
Correct |
146 ms |
14096 KB |
Output is correct |
65 |
Correct |
184 ms |
14168 KB |
Output is correct |
66 |
Correct |
190 ms |
14292 KB |
Output is correct |
67 |
Correct |
185 ms |
14308 KB |
Output is correct |
68 |
Correct |
186 ms |
14132 KB |
Output is correct |
69 |
Correct |
194 ms |
14124 KB |
Output is correct |
70 |
Correct |
185 ms |
14220 KB |
Output is correct |
71 |
Correct |
564 ms |
18864 KB |
Output is correct |
72 |
Correct |
553 ms |
19056 KB |
Output is correct |
73 |
Correct |
939 ms |
17740 KB |
Output is correct |
74 |
Correct |
1428 ms |
18220 KB |
Output is correct |
75 |
Correct |
661 ms |
19820 KB |
Output is correct |
76 |
Correct |
1527 ms |
18928 KB |
Output is correct |
77 |
Correct |
1375 ms |
19372 KB |
Output is correct |
78 |
Correct |
395 ms |
23128 KB |
Output is correct |
79 |
Correct |
552 ms |
17084 KB |
Output is correct |
80 |
Correct |
594 ms |
20320 KB |
Output is correct |
81 |
Correct |
945 ms |
20172 KB |
Output is correct |
82 |
Correct |
1617 ms |
19116 KB |
Output is correct |
83 |
Correct |
674 ms |
18400 KB |
Output is correct |
84 |
Correct |
1710 ms |
19512 KB |
Output is correct |
85 |
Correct |
1418 ms |
39668 KB |
Output is correct |
86 |
Correct |
388 ms |
37356 KB |
Output is correct |
87 |
Correct |
550 ms |
40352 KB |
Output is correct |
88 |
Correct |
570 ms |
37292 KB |
Output is correct |
89 |
Correct |
938 ms |
39008 KB |
Output is correct |
90 |
Correct |
1321 ms |
39376 KB |
Output is correct |
91 |
Correct |
685 ms |
38536 KB |
Output is correct |
92 |
Correct |
1661 ms |
39760 KB |
Output is correct |
93 |
Correct |
1391 ms |
39620 KB |
Output is correct |
94 |
Correct |
383 ms |
37280 KB |
Output is correct |
95 |
Correct |
1142 ms |
39460 KB |
Output is correct |
96 |
Correct |
1131 ms |
39564 KB |
Output is correct |
97 |
Correct |
1135 ms |
39472 KB |
Output is correct |
98 |
Correct |
1115 ms |
39616 KB |
Output is correct |
99 |
Correct |
1133 ms |
39580 KB |
Output is correct |
100 |
Correct |
1127 ms |
39496 KB |
Output is correct |