Submission #58115

#	Time	Username	Problem	Language	Result	Execution time	Memory
58115		ksun48	Security Gate (JOI18_security_gate)	C++14	30 / 100	5013 ms	996 KiB

securitygate

#include <bits/stdc++.h>
using namespace std;
typedef long long LL;

const LL MOD = 1000000007;
const int MAXN = 110;
LL check_slow(string s){
	vector<int> psums(1,0);
	for(int j = 0; j < s.size(); j++){
		if(s[j] == '('){
			psums.push_back(psums[psums.size() - 1] + 1);
		} else {
			psums.push_back(psums[psums.size() - 1] - 1);			
		}
	}
	int laste = psums.size() - 1;
	while(laste > 0 && psums[laste-1] >= psums[psums.size()-1]){
		laste--;
	}
	vector<int> endlists[2 * MAXN];
	vector<int> psumlists[2 * MAXN];
	int ecuridx[2 * MAXN];
	int pcuridx[2 * MAXN];
	for(int j = laste; j <= psums.size() - 1; j++){
		endlists[MAXN + psums[j]].push_back(j);
		ecuridx[MAXN + psums[j]] = 0;
	}
	for(int j = 0; j <= psums.size() - 1; j++){
		psumlists[MAXN + psums[j]].push_back(j);
		pcuridx[MAXN + psums[j]] = 0;
	}
	int a = psums[psums.size() - 1] / 2;
	for(int j = 0; j < psums.size(); j++){
		if(psums[j] < 0) break;
		int need = psums[j] + a;
		int idx = ecuridx[MAXN + need];
		if(idx < endlists[MAXN + need].size()){
			int e = endlists[MAXN + need][idx];
			// check if all elements in [j,e] are <=
			int idx2 = pcuridx[MAXN + 2 * psums[j] + 1];
			if(idx2 < psumlists[MAXN + 2 * psums[j] + 1].size() && psumlists[MAXN + 2 * psums[j] + 1][idx2] <= e){
			} else {
				return 1;
			}
		}
		if(j >= laste){
			ecuridx[MAXN + psums[j]]++;
		}
		pcuridx[MAXN + psums[j]]++;
	}
	return 0;
}

LL check(string s){
	vector<int> psums(1,0);
	for(int j = 0; j < s.size(); j++){
		if(s[j] == '('){
			psums.push_back(psums[psums.size() - 1] + 1);
		} else {
			psums.push_back(psums[psums.size() - 1] - 1);			
		}
	}
	int laste = psums.size() - 1;
	while(laste > 0 && psums[laste - 1] >= psums[psums.size() - 1]){
		laste--;
	}
	int lasts = 0;
	while(lasts + 1 < psums.size() && psums[lasts + 1] >= psums[0]){
		lasts++;
	}
	int minv = 0;
	int maxv = 0;
	int a = psums[psums.size()-1] / 2;
	for(int i = 0; i < psums.size(); i++){
		if(i <= lasts){
			minv = min(minv, max(0,psums[i]));
			maxv = max(maxv, psums[i]);
		}
		while(minv <= maxv && minv * 2 < psums[i]) minv++;
		if(i >= laste){
			int b = psums[i]-a;
			if(b >= minv && b <= maxv) return 1;
		}
	}
	return 0;
}

LL cnt(string s, int idx){
	if(idx == s.size()){
		return check(s);
	}
	if(s[idx] != 'x'){
		return cnt(s, idx + 1);
	}
	string s1 = s;
	string s2 = s;
	s1[idx] = '(';
	s2[idx] = ')';
	for(int z = idx + 1; z <= s.size(); z++){
		if(z == s.size() || s[z] == 'x'){
			return (cnt(s1, z) + cnt(s2, z)) % MOD;
		}
	}
}
int main(){
	int n;
	string s;
	cin >> n >> s;
	if(n % 2 == 1){
		cout << 0 << '\n';
		return 0;
	}
	cout << cnt(s, 0) << '\n';
}

Compilation message (stderr)

securitygate.cpp: In function 'LL check_slow(std::__cxx11::string)':
securitygate.cpp:9:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j = 0; j < s.size(); j++){
                 ~~^~~~~~~~~~
securitygate.cpp:24:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j = laste; j <= psums.size() - 1; j++){
                     ~~^~~~~~~~~~~~~~~~~~~
securitygate.cpp:28:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j = 0; j <= psums.size() - 1; j++){
                 ~~^~~~~~~~~~~~~~~~~~~
securitygate.cpp:33:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j = 0; j < psums.size(); j++){
                 ~~^~~~~~~~~~~~~~
securitygate.cpp:37:10: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(idx < endlists[MAXN + need].size()){
      ~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
securitygate.cpp:41:12: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if(idx2 < psumlists[MAXN + 2 * psums[j] + 1].size() && psumlists[MAXN + 2 * psums[j] + 1][idx2] <= e){
       ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
securitygate.cpp: In function 'LL check(std::__cxx11::string)':
securitygate.cpp:56:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j = 0; j < s.size(); j++){
                 ~~^~~~~~~~~~
securitygate.cpp:68:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  while(lasts + 1 < psums.size() && psums[lasts + 1] >= psums[0]){
        ~~~~~~~~~~^~~~~~~~~~~~~~
securitygate.cpp:74:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < psums.size(); i++){
                 ~~^~~~~~~~~~~~~~
securitygate.cpp: In function 'LL cnt(std::__cxx11::string, int)':
securitygate.cpp:89:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  if(idx == s.size()){
     ~~~~^~~~~~~~~~~
securitygate.cpp:99:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int z = idx + 1; z <= s.size(); z++){
                       ~~^~~~~~~~~~~
securitygate.cpp:100:8: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(z == s.size() || s[z] == 'x'){
      ~~^~~~~~~~~~~
securitygate.cpp:104:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^

• Subtask 1: 4 / 4
• Subtask 2: 8 / 8
• Subtask 3: 18 / 18
• Subtask 4: 0 / 43
• Subtask 5: 0 / 27