QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#79999 | #2927. Bracket Pairing | perspective | AC ✓ | 2ms | 3464kb | C++23 | 2.1kb | 2023-02-21 16:41:22 | 2023-02-21 16:42:00 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define task "sol"
#define lb lower_bound
#define ub upper_bound
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define zs(v) ((int)(v).size())
#define BIT(x, i) (((x) >> (i)) & 1)
#define CNTBIT __builtin_popcountll
#define ALL(v) (v).begin(),(v).end()
#define endl '\n'
typedef long double ld;
typedef long long ll;
typedef pair<int, int> pii;
const int dx[4]={-1, 0, 1, 0}, dy[4]={0, 1, 0, -1};
const int dxx[8]={-1, -1, 0, 1, 1, 1, 0, -1}, dyy[8]={0, 1, 1, 1, 0, -1, -1, -1};
const ll mod = 1000000007; /// 998244353
const ll base = 331;
ll dp[25][25];
string s;
int n;
bool isClose(char c) {
return (c == ')' || c == '>' || c == ']' || c == '}');
}
bool isOpen(char c) {
return (c == '(' || c == '<' || c == '[' || c == '{');
}
bool check(char x, char y) {
if (x == '(' && y == ')') {
return 1;
}
if (x == '[' && y == ']') {
return 1;
}
if (x == '{' && y == '}') {
return 1;
}
if (x == '<' && y == '>') {
return 1;
}
return 0;
}
int getMult(char x, char y) {
if (x == y && x == '?') return 4;
if (check(x, y)) return 1;
if (isOpen(x) && y == '?') return 1;
if (x == '?' && isClose(y)) return 1;
return 0;
}
void solve() {
cin >> s;
n = s.size();
if (!n) {
cout << 1;
return;
}
s = ' ' + s;
memset(dp, 0ll, sizeof(dp));
for (int i = 1; i <= n; ++i) {
dp[i][i - 1] = 1;
}
for (int len = 2; len <= n; len += 2) {
for (int i = 1; i <= n - len + 1; ++i) {
int j = i + len - 1;
for (int k = i + 1; k < j; k += 2) {
dp[i][j] += dp[i + 1][k - 1] * getMult(s[i], s[k]) * dp[k + 1][j];
// dp[i][j] += dp[i][k] * getMult(s[k + 1], s[j]) * dp[k + 2][j - 1];
}
dp[i][j] += getMult(s[i], s[j]) * dp[i + 1][j - 1];
}
}
cout << dp[1][n];
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
solve();
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3332kb
input:
??
output:
4
result:
ok single line: '4'
Test #2:
score: 0
Accepted
time: 2ms
memory: 3328kb
input:
????
output:
32
result:
ok single line: '32'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3384kb
input:
????????
output:
3584
result:
ok single line: '3584'
Test #4:
score: 0
Accepted
time: 1ms
memory: 3308kb
input:
]????]
output:
0
result:
ok single line: '0'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
?????[
output:
0
result:
ok single line: '0'
Test #6:
score: 0
Accepted
time: 2ms
memory: 3324kb
input:
([???]
output:
1
result:
ok single line: '1'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3388kb
input:
??({?]
output:
0
result:
ok single line: '0'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3384kb
input:
??({?]??
output:
4
result:
ok single line: '4'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3384kb
input:
?[()?)()]]
output:
1
result:
ok single line: '1'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3384kb
input:
?()?????
output:
320
result:
ok single line: '320'
Test #11:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
?????()?
output:
320
result:
ok single line: '320'
Test #12:
score: 0
Accepted
time: 2ms
memory: 3312kb
input:
???([]){}???
output:
320
result:
ok single line: '320'
Test #13:
score: 0
Accepted
time: 2ms
memory: 3324kb
input:
????????????????????
output:
17611882496
result:
ok single line: '17611882496'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3384kb
input:
<{[{()}]}<>{}>{?()[]
output:
1
result:
ok single line: '1'
Test #15:
score: 0
Accepted
time: 2ms
memory: 3384kb
input:
[<{}<><?[]>?[]{}<{}>
output:
1
result:
ok single line: '1'
Test #16:
score: 0
Accepted
time: 2ms
memory: 3460kb
input:
()<{}{}><???[]>>[()]
output:
9
result:
ok single line: '9'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3460kb
input:
([{?}}<??){<>}[?}<>]
output:
1
result:
ok single line: '1'
Test #18:
score: 0
Accepted
time: 2ms
memory: 3380kb
input:
{}(?(?()[]??]<>){[]?
output:
21
result:
ok single line: '21'
Test #19:
score: 0
Accepted
time: 2ms
memory: 3380kb
input:
<??>]??{{}[]}>>()?{}
output:
1
result:
ok single line: '1'
Test #20:
score: 0
Accepted
time: 2ms
memory: 3260kb
input:
{???{(({?><>?>})){}}
output:
8
result:
ok single line: '8'
Test #21:
score: 0
Accepted
time: 2ms
memory: 3332kb
input:
?<()[]?<{?>??>>())[]
output:
11
result:
ok single line: '11'
Test #22:
score: 0
Accepted
time: 2ms
memory: 3364kb
input:
?[()?)()][]{[?}>?]{?
output:
1
result:
ok single line: '1'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3328kb
input:
{?(?>)<>>{}<?{}}?]{?
output:
1
result:
ok single line: '1'
Test #24:
score: 0
Accepted
time: 2ms
memory: 3464kb
input:
[?}[[???[??????]??>?
output:
34880
result:
ok single line: '34880'
Test #25:
score: 0
Accepted
time: 2ms
memory: 3436kb
input:
??<???????<>??[??]{?
output:
629760
result:
ok single line: '629760'
Test #26:
score: 0
Accepted
time: 2ms
memory: 3396kb
input:
?????????[?)?}?>[???
output:
889856
result:
ok single line: '889856'
Test #27:
score: 0
Accepted
time: 1ms
memory: 3380kb
input:
????????????}(??????
output:
275382272
result:
ok single line: '275382272'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3340kb
input:
?[??]?{??)??????????
output:
8609792
result:
ok single line: '8609792'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3320kb
input:
???????(??)??{?????>
output:
16621568
result:
ok single line: '16621568'
Test #30:
score: 0
Accepted
time: 2ms
memory: 3336kb
input:
????[]?[<???????????
output:
21446656
result:
ok single line: '21446656'
Test #31:
score: 0
Accepted
time: 2ms
memory: 3460kb
input:
???????}>??????)?)??
output:
4677632
result:
ok single line: '4677632'
Test #32:
score: 0
Accepted
time: 2ms
memory: 3332kb
input:
[??????(??????????{}
output:
41435136
result:
ok single line: '41435136'
Test #33:
score: 0
Accepted
time: 0ms
memory: 3304kb
input:
(?>?[???????????}???
output:
8740864
result:
ok single line: '8740864'
Test #34:
score: 0
Accepted
time: 0ms
memory: 3328kb
input:
()()(?
output:
1
result:
ok single line: '1'
Test #35:
score: 0
Accepted
time: 2ms
memory: 3340kb
input:
(??)
output:
5
result:
ok single line: '5'
Test #36:
score: 0
Accepted
time: 0ms
memory: 3384kb
input:
(<{}>??]
output:
1
result:
ok single line: '1'
Test #37:
score: 0
Accepted
time: 1ms
memory: 3316kb
input:
(?]]
output:
0
result:
ok single line: '0'