QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#83317 | #1769. 括号序列 | james1BadCreeper | 100 ✓ | 350ms | 11244kb | C++14 | 1.2kb | 2023-03-01 13:51:41 | 2023-03-01 13:51:45 |
Judging History
answer
#include <iostream>
#include <cstdio>
using namespace std;
typedef long long i64;
const int MOD = 1000000007;
int n, k;
char s[505];
i64 f[505][505][6];
// f[0]: **
// f[1]: (..)
// f[2]: (..)**
// f[3]: (..)..(..) 包含 1
// f[4]: **(..)
// f[5]: **(..)** 包含 0
int main(void)
{
scanf("%d%d%s", &n, &k, s + 1);
for (int i = 1; i <= n; ++i) f[i][i-1][0] = 1;
for (int len = 1; len <= n; ++len)
for (int i = 1; i <= n - len + 1; ++i) {
int j = i + len - 1;
if (len <= k) f[i][j][0] = f[i][j-1][0] && (s[j] == '*' || s[j] == '?');
if (len >= 2) {
if ((s[i] == '(' || s[i] == '?') && (s[j] == ')' || s[j] == '?'))
f[i][j][1] = (f[i+1][j-1][0] + f[i+1][j-1][2] + f[i+1][j-1][3] + f[i+1][j-1][4]) % MOD;
for (int k = i; k < j; ++k) {
f[i][j][2] = (f[i][j][2] + f[i][k][3] * f[k+1][j][0]) % MOD;
f[i][j][3] = (f[i][j][3] + (f[i][k][2]+f[i][k][3]) * f[k+1][j][1]) % MOD;
f[i][j][4] = (f[i][j][4] + (f[i][k][4]+f[i][k][5]) * f[k+1][j][1]) % MOD;
f[i][j][5] = (f[i][j][5] + f[i][k][4] * f[k+1][j][0]) % MOD;
}
}
f[i][j][5] = (f[i][j][5] + f[i][j][0]) % MOD;
f[i][j][3] = (f[i][j][3] + f[i][j][1]) % MOD;
}
printf("%lld\n", f[1][n][3]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 5
Accepted
time: 2ms
memory: 3592kb
input:
14 3 ???*?(*????)??
output:
600
result:
ok single line: '600'
Test #2:
score: 5
Accepted
time: 2ms
memory: 3660kb
input:
15 7 ?()??)???*?????
output:
1443
result:
ok single line: '1443'
Test #3:
score: 5
Accepted
time: 2ms
memory: 3568kb
input:
15 10 ??*??????????(?
output:
7801
result:
ok single line: '7801'
Test #4:
score: 5
Accepted
time: 2ms
memory: 3664kb
input:
38 6 ?(????(??*??????*????*????(?(*(??*????
output:
804755392
result:
ok single line: '804755392'
Test #5:
score: 5
Accepted
time: 2ms
memory: 3792kb
input:
39 17 ?????*???)????(????*????????????*???)??
output:
734493810
result:
ok single line: '734493810'
Test #6:
score: 5
Accepted
time: 2ms
memory: 3920kb
input:
40 2 ?*???(???(?*???))??*????*???*??**(???(??
output:
946388230
result:
ok single line: '946388230'
Test #7:
score: 5
Accepted
time: 0ms
memory: 3780kb
input:
40 11 ?????*????????)??(??)?(??????*??????????
output:
513756777
result:
ok single line: '513756777'
Test #8:
score: 5
Accepted
time: 2ms
memory: 3724kb
input:
40 26 ????)????????*????????????*?????????()??
output:
156637450
result:
ok single line: '156637450'
Test #9:
score: 5
Accepted
time: 1ms
memory: 4344kb
input:
95 3 ???)??????????)?????????*???????????(?(???????????()?????(???????**??????(??*??????????***?????
output:
267516104
result:
ok single line: '267516104'
Test #10:
score: 5
Accepted
time: 3ms
memory: 4144kb
input:
98 22 ?*??????*???)??????(??)?)????????*??????????(?????))??????*????????????*****?????***????(???????*?
output:
641483452
result:
ok single line: '641483452'
Test #11:
score: 5
Accepted
time: 3ms
memory: 4380kb
input:
99 15 ???*????*??)??)??????(????**????(???*??????*??????*???)????*???????**?????????*????????*?*??????)??
output:
195466063
result:
ok single line: '195466063'
Test #12:
score: 5
Accepted
time: 3ms
memory: 4176kb
input:
100 17 ???*????(???????*?????(??(??????*???????*???????*?????)??)?????(??????*??????(????*????*???*)????*??
output:
695865604
result:
ok single line: '695865604'
Test #13:
score: 5
Accepted
time: 3ms
memory: 4172kb
input:
100 33 ??(???*????)??)????)????????????*?????**????????????*???????????*????????*?*???????))???????*?????)?
output:
114367997
result:
ok single line: '114367997'
Test #14:
score: 5
Accepted
time: 304ms
memory: 11168kb
input:
497 238 ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????...
output:
211791029
result:
ok single line: '211791029'
Test #15:
score: 5
Accepted
time: 313ms
memory: 11216kb
input:
500 463 ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????...
output:
572342110
result:
ok single line: '572342110'
Test #16:
score: 5
Accepted
time: 311ms
memory: 11104kb
input:
491 88 ???????????*?????????????*??????*?????*?????***?????*?????????*?????(??**??????????????*??***????????????????*?????????)*????????????????(*????????????????*?*????????????(??????*???????????*??????????*????*?*????????*???????????*?????*??????????*???????*??????**???????*???*???????????????????...
output:
617614760
result:
ok single line: '617614760'
Test #17:
score: 5
Accepted
time: 310ms
memory: 11224kb
input:
498 135 ?*?????????????*?????*??*??????*?????????**?*??*?**??*????*?????????????????????????????????*????**???????????*????*????*????*?????*????????????(()?*????????*???(?*???????????????*????????????*?????????????????????????(??*??(????)???*????)????)*???????????*???????(???????**????????????*?????...
output:
637064892
result:
ok single line: '637064892'
Test #18:
score: 5
Accepted
time: 299ms
memory: 11240kb
input:
500 174 ??*????(((*???????????????????????*???*???????*???*?????????????*??*?*??**?????(???(??????????????????*)?????????????(????????*????*????*????????????????????*?????????*??????*???*??????????????*?????????????????*???*???????????????????????????????????*?*????????????????????????????*??*??????...
output:
835939342
result:
ok single line: '835939342'
Test #19:
score: 5
Accepted
time: 350ms
memory: 11244kb
input:
500 221 ????????????*?*??*?????????*???*??????*(???)???)????(?*?????(??**??*???*??????????*??*?*???????*??????*???????*?????)????*???)??)??*??????????????????*???*???????????????????*????????**????????*?????????*??????*??*?*??????????????????*?*????????*???*??????????*????????????*???????????????*??...
output:
977731606
result:
ok single line: '977731606'
Test #20:
score: 5
Accepted
time: 347ms
memory: 11208kb
input:
500 316 ???*?*?????*???*???(??????????????*????(?????????????????*?????????????????????*???????????*??**??????*????????????????*????)???*????????????*?*????????????????????????*?*??*?????????????????????*?????????**?*???**???*????*?????????????????????????????????????*???????*??????????*?**????????*...
output:
875239106
result:
ok single line: '875239106'
Extra Test:
score: 0
Extra Test Passed