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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#53780#2927. Bracket Pairingabdelrahman001#AC ✓2ms3744kbC++1.2kb2022-10-05 22:16:452022-10-05 22:16:47

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-10-05 22:16:47]
  • Judged
  • Verdict: AC
  • Time: 2ms
  • Memory: 3744kb
  • [2022-10-05 22:16:45]
  • Submitted

answer

#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>
typedef long long ll;
typedef long double ld;
using namespace std;
const int N = 1e4 + 5;
string s, sl = {'?', '(', '{', '[', '<'};
ll memo[20][20];
char ok(char x, char y) {
    if(y == '?')
        return x == '?' || !count(sl.begin(), sl.end(), x);
    if(y == '(')
        return x == '?' || x == ')';
    if(y == '{')
        return x == '?' || x == '}';
    if(y == '[')
        return x == '?' || x == ']';
    return x == '?' || x == '>';
}
ll solve(int l, int r) {
    if(l > r)
        return 1;
    ll &ans = memo[l][r];
    if(~ans)
        return ans;
    ans = 0;
    for(int k = l + 1;k <= r;k++) {
        if(count(sl.begin(), sl.end(), s[l]) && ok(s[k], s[l])) {
            int cnt = 1;
            if(s[l] == s[k] && s[l] == '?')
                cnt = 4;
            ans += solve(l + 1, k - 1) * cnt * solve(k + 1, r);
        }
    }
    return ans;
}
int main() {
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    cin >> s;
    int n = s.size();
    memset(memo, -1, sizeof memo);
    cout << solve(0, n - 1);
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3596kb

input:

??

output:

4

result:

ok single line: '4'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3528kb

input:

????

output:

32

result:

ok single line: '32'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3604kb

input:

????????

output:

3584

result:

ok single line: '3584'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

]????]

output:

0

result:

ok single line: '0'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3652kb

input:

?????[

output:

0

result:

ok single line: '0'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

([???]

output:

1

result:

ok single line: '1'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

??({?]

output:

0

result:

ok single line: '0'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3740kb

input:

??({?]??

output:

4

result:

ok single line: '4'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3740kb

input:

?[()?)()]]

output:

1

result:

ok single line: '1'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

?()?????

output:

320

result:

ok single line: '320'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3604kb

input:

?????()?

output:

320

result:

ok single line: '320'

Test #12:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

???([]){}???

output:

320

result:

ok single line: '320'

Test #13:

score: 0
Accepted
time: 2ms
memory: 3744kb

input:

????????????????????

output:

17611882496

result:

ok single line: '17611882496'

Test #14:

score: 0
Accepted
time: 2ms
memory: 3576kb

input:

<{[{()}]}<>{}>{?()[]

output:

1

result:

ok single line: '1'

Test #15:

score: 0
Accepted
time: 2ms
memory: 3600kb

input:

[<{}<><?[]>?[]{}<{}>

output:

1

result:

ok single line: '1'

Test #16:

score: 0
Accepted
time: 2ms
memory: 3632kb

input:

()<{}{}><???[]>>[()]

output:

9

result:

ok single line: '9'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

([{?}}<??){<>}[?}<>]

output:

1

result:

ok single line: '1'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

{}(?(?()[]??]<>){[]?

output:

21

result:

ok single line: '21'

Test #19:

score: 0
Accepted
time: 2ms
memory: 3740kb

input:

<??>]??{{}[]}>>()?{}

output:

1

result:

ok single line: '1'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3524kb

input:

{???{(({?><>?>})){}}

output:

8

result:

ok single line: '8'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3576kb

input:

?<()[]?<{?>??>>())[]

output:

11

result:

ok single line: '11'

Test #22:

score: 0
Accepted
time: 2ms
memory: 3740kb

input:

?[()?)()][]{[?}>?]{?

output:

1

result:

ok single line: '1'

Test #23:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

{?(?>)<>>{}<?{}}?]{?

output:

1

result:

ok single line: '1'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3584kb

input:

[?}[[???[??????]??>?

output:

34880

result:

ok single line: '34880'

Test #25:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

??<???????<>??[??]{?

output:

629760

result:

ok single line: '629760'

Test #26:

score: 0
Accepted
time: 1ms
memory: 3580kb

input:

?????????[?)?}?>[???

output:

889856

result:

ok single line: '889856'

Test #27:

score: 0
Accepted
time: 2ms
memory: 3700kb

input:

????????????}(??????

output:

275382272

result:

ok single line: '275382272'

Test #28:

score: 0
Accepted
time: 2ms
memory: 3636kb

input:

?[??]?{??)??????????

output:

8609792

result:

ok single line: '8609792'

Test #29:

score: 0
Accepted
time: 2ms
memory: 3588kb

input:

???????(??)??{?????>

output:

16621568

result:

ok single line: '16621568'

Test #30:

score: 0
Accepted
time: 2ms
memory: 3576kb

input:

????[]?[<???????????

output:

21446656

result:

ok single line: '21446656'

Test #31:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

???????}>??????)?)??

output:

4677632

result:

ok single line: '4677632'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

[??????(??????????{}

output:

41435136

result:

ok single line: '41435136'

Test #33:

score: 0
Accepted
time: 2ms
memory: 3520kb

input:

(?>?[???????????}???

output:

8740864

result:

ok single line: '8740864'

Test #34:

score: 0
Accepted
time: 2ms
memory: 3580kb

input:

()()(?

output:

1

result:

ok single line: '1'

Test #35:

score: 0
Accepted
time: 2ms
memory: 3576kb

input:

(??)

output:

5

result:

ok single line: '5'

Test #36:

score: 0
Accepted
time: 2ms
memory: 3608kb

input:

(<{}>??]

output:

1

result:

ok single line: '1'

Test #37:

score: 0
Accepted
time: 2ms
memory: 3672kb

input:

(?]]

output:

0

result:

ok single line: '0'