oj.uz

Submission #58182

# Submission time Handle Problem Language Result Execution time Memory
58182 2018-07-17T05:59:50 Z ksun48 Security Gate (JOI18_security_gate) C++14
12 / 100
 5000 ms 880 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long LL;

const LL MOD = 1000000007;
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 check2(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 a = psums[psums.size() - 1] / 2;
	if(lasts == psums.size() - 1 && laste == 0){
		return 1;
	} else if(lasts == psums.size() - 1){
		int maxv = 0;
		for(int i = laste; i < psums.size(); i++){
			maxv = max(maxv, psums[i] - psums[psums.size() - 1]);
		}
		for(int i = laste; i >= 0; i--){
			if(psums[i] - psums[psums.size() - 1] <= maxv - a) return 1;
			if(psums[i] - psums[psums.size() - 1] > 2 * maxv) return 0;
		}
	} else if(laste == 0){
		int maxv = 0;
		for(int i = 0; i <= lasts; i++){
			maxv = max(maxv, psums[i]);
		}
		for(int i = lasts; i < psums.size(); i++){
			if(psums[i] <= maxv + a) return 1;
			if(psums[i] > 2 * maxv) return 0;
		}
	} else {
		int maxl = psums[0];
		int maxm = psums[lasts];
		int maxr = psums[psums.size() - 1];
		for(int i = 0; i <= lasts; i++){
			maxl = max(maxl, psums[i]);
		}
		for(int i = lasts; i <= laste; i++){
			maxm = max(maxm, psums[i]);
		}
		for(int i = laste; i < psums.size(); i++){
			maxr = max(maxr, psums[i]);
		}
		return (maxm <= 2 * maxl && maxm <= 2 * (maxr - a));
	}
	return 0;
}

LL cnt(string s, int idx){
	if(idx == s.size()){
		if(check(s) != check2(s)){
			cout << s << " " << check(s) << " " << check2(s) << endl;
			assert(0);
		}
		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

securitygate.cpp: In function 'LL check(std::__cxx11::string)':
securitygate.cpp:8:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j = 0; j < s.size(); j++){
                 ~~^~~~~~~~~~
securitygate.cpp:20:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  while(lasts + 1 < psums.size() && psums[lasts + 1] >= psums[0]){
        ~~~~~~~~~~^~~~~~~~~~~~~~
securitygate.cpp:26:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < psums.size(); i++){
                 ~~^~~~~~~~~~~~~~
securitygate.cpp: In function 'LL check2(std::__cxx11::string)':
securitygate.cpp:42:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int j = 0; j < s.size(); j++){
                 ~~^~~~~~~~~~
securitygate.cpp:54:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  while(lasts + 1 < psums.size() && psums[lasts + 1] >= psums[0]){
        ~~~~~~~~~~^~~~~~~~~~~~~~
securitygate.cpp:58:11: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  if(lasts == psums.size() - 1 && laste == 0){
     ~~~~~~^~~~~~~~~~~~~~~~~~~
securitygate.cpp:60:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  } else if(lasts == psums.size() - 1){
            ~~~~~~^~~~~~~~~~~~~~~~~~~
securitygate.cpp:62:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = laste; i < psums.size(); i++){
                      ~~^~~~~~~~~~~~~~
securitygate.cpp:74:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = lasts; i < psums.size(); i++){
                      ~~^~~~~~~~~~~~~~
securitygate.cpp:88:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = laste; i < psums.size(); i++){
                      ~~^~~~~~~~~~~~~~
securitygate.cpp: In function 'LL cnt(std::__cxx11::string, int)':
securitygate.cpp:97:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  if(idx == s.size()){
     ~~~~^~~~~~~~~~~
securitygate.cpp:111:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int z = idx + 1; z <= s.size(); z++){
                       ~~^~~~~~~~~~~
securitygate.cpp:112:8: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if(z == s.size() || s[z] == 'x'){
      ~~^~~~~~~~~~~
securitygate.cpp:116:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 252 KB Output is correct
2 Correct 2 ms 360 KB Output is correct
3 Correct 3 ms 420 KB Output is correct
4 Correct 2 ms 420 KB Output is correct
5 Correct 3 ms 500 KB Output is correct
6 Correct 3 ms 552 KB Output is correct
7 Correct 4 ms 692 KB Output is correct
8 Correct 3 ms 692 KB Output is correct
9 Correct 2 ms 692 KB Output is correct
10 Correct 3 ms 692 KB Output is correct
11 Correct 2 ms 692 KB Output is correct
12 Correct 3 ms 692 KB Output is correct
13 Correct 3 ms 692 KB Output is correct
14 Correct 3 ms 692 KB Output is correct
15 Correct 2 ms 692 KB Output is correct
16 Correct 3 ms 692 KB Output is correct
17 Correct 3 ms 692 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 252 KB Output is correct
2 Correct 2 ms 360 KB Output is correct
3 Correct 3 ms 420 KB Output is correct
4 Correct 2 ms 420 KB Output is correct
5 Correct 3 ms 500 KB Output is correct
6 Correct 3 ms 552 KB Output is correct
7 Correct 4 ms 692 KB Output is correct
8 Correct 3 ms 692 KB Output is correct
9 Correct 2 ms 692 KB Output is correct
10 Correct 3 ms 692 KB Output is correct
11 Correct 2 ms 692 KB Output is correct
12 Correct 3 ms 692 KB Output is correct
13 Correct 3 ms 692 KB Output is correct
14 Correct 3 ms 692 KB Output is correct
15 Correct 2 ms 692 KB Output is correct
16 Correct 3 ms 692 KB Output is correct
17 Correct 3 ms 692 KB Output is correct
18 Correct 2 ms 692 KB Output is correct
19 Correct 5 ms 692 KB Output is correct
20 Correct 18 ms 692 KB Output is correct
21 Correct 22 ms 692 KB Output is correct
22 Correct 30 ms 704 KB Output is correct
23 Correct 4 ms 704 KB Output is correct
24 Correct 19 ms 704 KB Output is correct
25 Correct 3 ms 704 KB Output is correct
26 Correct 6 ms 704 KB Output is correct
27 Correct 20 ms 708 KB Output is correct
28 Correct 11 ms 708 KB Output is correct
29 Correct 5 ms 708 KB Output is correct
30 Correct 3 ms 708 KB Output is correct
31 Correct 19 ms 740 KB Output is correct

Subtask #3
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 252 KB Output is correct
2 Correct 2 ms 360 KB Output is correct
3 Correct 3 ms 420 KB Output is correct
4 Correct 2 ms 420 KB Output is correct
5 Correct 3 ms 500 KB Output is correct
6 Correct 3 ms 552 KB Output is correct
7 Correct 4 ms 692 KB Output is correct
8 Correct 3 ms 692 KB Output is correct
9 Correct 2 ms 692 KB Output is correct
10 Correct 3 ms 692 KB Output is correct
11 Correct 2 ms 692 KB Output is correct
12 Correct 3 ms 692 KB Output is correct
13 Correct 3 ms 692 KB Output is correct
14 Correct 3 ms 692 KB Output is correct
15 Correct 2 ms 692 KB Output is correct
16 Correct 3 ms 692 KB Output is correct
17 Correct 3 ms 692 KB Output is correct
18 Correct 2 ms 692 KB Output is correct
19 Correct 5 ms 692 KB Output is correct
20 Correct 18 ms 692 KB Output is correct
21 Correct 22 ms 692 KB Output is correct
22 Correct 30 ms 704 KB Output is correct
23 Correct 4 ms 704 KB Output is correct
24 Correct 19 ms 704 KB Output is correct
25 Correct 3 ms 704 KB Output is correct
26 Correct 6 ms 704 KB Output is correct
27 Correct 20 ms 708 KB Output is correct
28 Correct 11 ms 708 KB Output is correct
29 Correct 5 ms 708 KB Output is correct
30 Correct 3 ms 708 KB Output is correct
31 Correct 19 ms 740 KB Output is correct
32 Correct 121 ms 740 KB Output is correct
33 Correct 32 ms 740 KB Output is correct
34 Correct 2882 ms 880 KB Output is correct
35 Correct 141 ms 880 KB Output is correct
36 Correct 272 ms 880 KB Output is correct
37 Correct 1252 ms 880 KB Output is correct
38 Execution timed out 5047 ms 880 KB Time limit exceeded
39 Halted 0 ms 0 KB -

Subtask #4
0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 252 KB Output is correct
2 Correct 2 ms 360 KB Output is correct
3 Correct 3 ms 420 KB Output is correct
4 Correct 2 ms 420 KB Output is correct
5 Correct 3 ms 500 KB Output is correct
6 Correct 3 ms 552 KB Output is correct
7 Correct 4 ms 692 KB Output is correct
8 Correct 3 ms 692 KB Output is correct
9 Correct 2 ms 692 KB Output is correct
10 Correct 3 ms 692 KB Output is correct
11 Correct 2 ms 692 KB Output is correct
12 Correct 3 ms 692 KB Output is correct
13 Correct 3 ms 692 KB Output is correct
14 Correct 3 ms 692 KB Output is correct
15 Correct 2 ms 692 KB Output is correct
16 Correct 3 ms 692 KB Output is correct
17 Correct 3 ms 692 KB Output is correct
18 Correct 2 ms 692 KB Output is correct
19 Correct 5 ms 692 KB Output is correct
20 Correct 18 ms 692 KB Output is correct
21 Correct 22 ms 692 KB Output is correct
22 Correct 30 ms 704 KB Output is correct
23 Correct 4 ms 704 KB Output is correct
24 Correct 19 ms 704 KB Output is correct
25 Correct 3 ms 704 KB Output is correct
26 Correct 6 ms 704 KB Output is correct
27 Correct 20 ms 708 KB Output is correct
28 Correct 11 ms 708 KB Output is correct
29 Correct 5 ms 708 KB Output is correct
30 Correct 3 ms 708 KB Output is correct
31 Correct 19 ms 740 KB Output is correct
32 Correct 121 ms 740 KB Output is correct
33 Correct 32 ms 740 KB Output is correct
34 Correct 2882 ms 880 KB Output is correct
35 Correct 141 ms 880 KB Output is correct
36 Correct 272 ms 880 KB Output is correct
37 Correct 1252 ms 880 KB Output is correct
38 Execution timed out 5047 ms 880 KB Time limit exceeded
39 Halted 0 ms 0 KB -

Subtask #5
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 252 KB Output is correct
2 Correct 2 ms 360 KB Output is correct
3 Correct 3 ms 420 KB Output is correct
4 Correct 2 ms 420 KB Output is correct
5 Correct 3 ms 500 KB Output is correct
6 Correct 3 ms 552 KB Output is correct
7 Correct 4 ms 692 KB Output is correct
8 Correct 3 ms 692 KB Output is correct
9 Correct 2 ms 692 KB Output is correct
10 Correct 3 ms 692 KB Output is correct
11 Correct 2 ms 692 KB Output is correct
12 Correct 3 ms 692 KB Output is correct
13 Correct 3 ms 692 KB Output is correct
14 Correct 3 ms 692 KB Output is correct
15 Correct 2 ms 692 KB Output is correct
16 Correct 3 ms 692 KB Output is correct
17 Correct 3 ms 692 KB Output is correct
18 Correct 2 ms 692 KB Output is correct
19 Correct 5 ms 692 KB Output is correct
20 Correct 18 ms 692 KB Output is correct
21 Correct 22 ms 692 KB Output is correct
22 Correct 30 ms 704 KB Output is correct
23 Correct 4 ms 704 KB Output is correct
24 Correct 19 ms 704 KB Output is correct
25 Correct 3 ms 704 KB Output is correct
26 Correct 6 ms 704 KB Output is correct
27 Correct 20 ms 708 KB Output is correct
28 Correct 11 ms 708 KB Output is correct
29 Correct 5 ms 708 KB Output is correct
30 Correct 3 ms 708 KB Output is correct
31 Correct 19 ms 740 KB Output is correct
32 Correct 121 ms 740 KB Output is correct
33 Correct 32 ms 740 KB Output is correct
34 Correct 2882 ms 880 KB Output is correct
35 Correct 141 ms 880 KB Output is correct
36 Correct 272 ms 880 KB Output is correct
37 Correct 1252 ms 880 KB Output is correct
38 Execution timed out 5047 ms 880 KB Time limit exceeded
39 Halted 0 ms 0 KB -