Submission #944150

#TimeUsernameProblemLanguageResultExecution timeMemory
944150guechotjrhhSnake Escaping (JOI18_snake_escaping)C++14
75 / 100
2003 ms40388 KiB
#include<iostream>
#include<string>
using namespace std;

#include<string>
#include<vector>
#define maxp 1048580
using namespace std;
int st[maxp],n,p,res,zer[maxp], on[maxp];
int ab(int x) { return x > 0 ? x : -x; }
void init(int N, int Q, string S) {
	n = N; p = 1 << n;
	for (int i = 0; i < p; i++) zer[i] = on[i] = st[i] = S[i] - '0';
	for (int i = 1; i < p; i<<=1) {
		for (int j = 0; j < p; j++) {
			if (j & i) zer[j] += zer[j ^ i];
			else on[j] += on[j ^ i];
		}
	}
}
int o[20], z[20], q[20];
int oc, zc, qc;
void rec1(int i, int c, int a) {
	if (i == oc) {res += (a^zer[c]) + (a & 1); return;}
	rec1(i + 1, c, a);
	rec1(i + 1, c ^ o[i], ~a);
}
void rec0(int i, int c, int a) {
	if (i == zc) {res += (a^on[c]) + (a & 1); return; }
	rec0(i + 1, c, a);
	rec0(i + 1, c ^ z[i], ~a);
}
void recq(int i, int c) {
	if (i == qc) { res += st[c]; return; }
	recq(i + 1, c);
	recq(i + 1, c ^ q[i]);
}
int query(string A) {
	oc = zc = qc = 0;
	for (int i = 0; i < n; i++) {
		if (A[i] == '0') zc++;
		else if (A[i] == '1') oc++;
		else qc++;
	}
	if (oc < zc && oc < qc) {
		int c = 0,po = 0;
		for (int i = 0; i < n; i++) {
			if (A[i] == '1') o[po++] = (1 << (n - 1 - i));
			else if(A[i]=='?') c += (1 << (n - 1 - i));
		}
		res = 0;
		rec1(0, c, 0);
		return ab(res);
	}
	else if (qc > zc) {
		int c = 0,pz = 0;
		for (int i = 0; i < n; i++) {
			if (A[i] == '1') c += (1 << (n - 1 - i));
			else if (A[i] == '0') z[pz++]=(1 << (n - 1 - i));
		}
		res = 0;
		rec0(0, c, 0);
		return ab(res);
	}
	else {
		res = 0;
		int c = 0,pq = 0;
		for (int i = 0; i < n; i++) {
			if (A[i] == '1') c += (1 << (n - 1 - i));
			else if (A[i] == '?') q[pq++]=(1 << (n - 1 - i));
		}
		recq(0, c);
		return res;
	}
	return 0;
}
/*
4 8
3141592653589793
0101
?01?
??1?
?0??
1?00
01?1
??10
????

3 5
12345678
000
0??
1?0
?11
???
*/
int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	int N, Q; cin >> N >> Q;
	string S; cin >> S;
	init(N, Q, move(S));
	
	for (int i = 0; i < Q; i++) {
		string A;
		cin >> A;
		cout << query(move(A)) << endl;
	}
}
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