#include <bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
constexpr int maxn = 1e6+10;
string s;
int idx[7*maxn + 10];
vector<pair<pair<int,int>,int>> itv;
struct NodeAns {
int l, r, sz;
};
NodeAns solve(int x) {
if(itv[x].ff.ff == itv[x].ff.ss) return {1, 1, 1};
auto itvL = solve(x+1), itvR = solve(idx[itv[x+1].ss]);
if(s[itv[x].ff.ff-1] == 'x') // max
return {itvL.l + itvR.l, max(itvL.r + itvR.sz, itvL.sz + itvR.r), itvL.sz + itvR.sz};
else // min
return {min(itvL.l, itvR.l), itvL.r + itvR.r - 1, itvL.sz + itvR.sz};
}
int main() {
ios_base::sync_with_stdio(false);
cin >> s;
vector<int> open;
for(int i = 0; i < (int)s.size(); i++)
if(s[i] == '(') {
if(itv.size() && !itv.back().ss) itv.back().ss = i;
open.push_back(i);
}
else if(s[i] == ')') itv.push_back({{open.back(), i}, 0}), open.pop_back();
else if(s[i] == '?') {
if(itv.size() && !itv.back().ss) itv.back().ss = i;
itv.push_back({{i, i}, 0}); // intervals with same beginning and end are question marks
}
sort(itv.begin(), itv.end()); // sorts by the opening bracket
for(int i = 0; i < (int)itv.size(); i++)
idx[itv[i].ff.ff] = i;
auto [l, r, sz] = solve(0);
printf("%d\n", r-l+1);
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
212 KB |
Output is correct |
45 |
Correct |
0 ms |
212 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
0 ms |
212 KB |
Output is correct |
50 |
Correct |
0 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
212 KB |
Output is correct |
53 |
Correct |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
352 ms |
187236 KB |
Output is correct |
2 |
Correct |
319 ms |
193248 KB |
Output is correct |
3 |
Correct |
327 ms |
193172 KB |
Output is correct |
4 |
Correct |
342 ms |
198584 KB |
Output is correct |
5 |
Correct |
319 ms |
200216 KB |
Output is correct |
6 |
Correct |
364 ms |
194088 KB |
Output is correct |
7 |
Correct |
342 ms |
197480 KB |
Output is correct |
8 |
Correct |
334 ms |
200476 KB |
Output is correct |
9 |
Correct |
359 ms |
197104 KB |
Output is correct |
10 |
Correct |
336 ms |
200996 KB |
Output is correct |
11 |
Correct |
340 ms |
197388 KB |
Output is correct |
12 |
Correct |
339 ms |
201056 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
212 KB |
Output is correct |
45 |
Correct |
0 ms |
212 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
0 ms |
212 KB |
Output is correct |
50 |
Correct |
0 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
212 KB |
Output is correct |
53 |
Correct |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
1 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
1 ms |
340 KB |
Output is correct |
62 |
Correct |
1 ms |
340 KB |
Output is correct |
63 |
Correct |
1 ms |
340 KB |
Output is correct |
64 |
Correct |
1 ms |
340 KB |
Output is correct |
65 |
Correct |
0 ms |
340 KB |
Output is correct |
66 |
Correct |
1 ms |
340 KB |
Output is correct |
67 |
Correct |
1 ms |
340 KB |
Output is correct |
68 |
Correct |
1 ms |
340 KB |
Output is correct |
69 |
Correct |
1 ms |
340 KB |
Output is correct |
70 |
Correct |
1 ms |
340 KB |
Output is correct |
71 |
Correct |
1 ms |
340 KB |
Output is correct |
72 |
Correct |
1 ms |
468 KB |
Output is correct |
73 |
Correct |
1 ms |
468 KB |
Output is correct |
74 |
Correct |
1 ms |
468 KB |
Output is correct |
75 |
Correct |
1 ms |
468 KB |
Output is correct |
76 |
Correct |
1 ms |
468 KB |
Output is correct |
77 |
Correct |
1 ms |
340 KB |
Output is correct |
78 |
Correct |
1 ms |
340 KB |
Output is correct |
79 |
Correct |
1 ms |
340 KB |
Output is correct |
80 |
Correct |
1 ms |
340 KB |
Output is correct |
81 |
Correct |
1 ms |
468 KB |
Output is correct |
82 |
Correct |
1 ms |
468 KB |
Output is correct |
83 |
Correct |
1 ms |
340 KB |
Output is correct |
84 |
Correct |
1 ms |
340 KB |
Output is correct |
85 |
Correct |
0 ms |
340 KB |
Output is correct |
86 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
0 ms |
212 KB |
Output is correct |
44 |
Correct |
0 ms |
212 KB |
Output is correct |
45 |
Correct |
0 ms |
212 KB |
Output is correct |
46 |
Correct |
0 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
0 ms |
212 KB |
Output is correct |
50 |
Correct |
0 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
212 KB |
Output is correct |
53 |
Correct |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
352 ms |
187236 KB |
Output is correct |
58 |
Correct |
319 ms |
193248 KB |
Output is correct |
59 |
Correct |
327 ms |
193172 KB |
Output is correct |
60 |
Correct |
342 ms |
198584 KB |
Output is correct |
61 |
Correct |
319 ms |
200216 KB |
Output is correct |
62 |
Correct |
364 ms |
194088 KB |
Output is correct |
63 |
Correct |
342 ms |
197480 KB |
Output is correct |
64 |
Correct |
334 ms |
200476 KB |
Output is correct |
65 |
Correct |
359 ms |
197104 KB |
Output is correct |
66 |
Correct |
336 ms |
200996 KB |
Output is correct |
67 |
Correct |
340 ms |
197388 KB |
Output is correct |
68 |
Correct |
339 ms |
201056 KB |
Output is correct |
69 |
Correct |
1 ms |
212 KB |
Output is correct |
70 |
Correct |
1 ms |
340 KB |
Output is correct |
71 |
Correct |
1 ms |
340 KB |
Output is correct |
72 |
Correct |
1 ms |
340 KB |
Output is correct |
73 |
Correct |
1 ms |
340 KB |
Output is correct |
74 |
Correct |
1 ms |
340 KB |
Output is correct |
75 |
Correct |
1 ms |
340 KB |
Output is correct |
76 |
Correct |
1 ms |
340 KB |
Output is correct |
77 |
Correct |
1 ms |
340 KB |
Output is correct |
78 |
Correct |
0 ms |
340 KB |
Output is correct |
79 |
Correct |
1 ms |
340 KB |
Output is correct |
80 |
Correct |
1 ms |
340 KB |
Output is correct |
81 |
Correct |
1 ms |
340 KB |
Output is correct |
82 |
Correct |
1 ms |
340 KB |
Output is correct |
83 |
Correct |
1 ms |
340 KB |
Output is correct |
84 |
Correct |
1 ms |
340 KB |
Output is correct |
85 |
Correct |
1 ms |
468 KB |
Output is correct |
86 |
Correct |
1 ms |
468 KB |
Output is correct |
87 |
Correct |
1 ms |
468 KB |
Output is correct |
88 |
Correct |
1 ms |
468 KB |
Output is correct |
89 |
Correct |
1 ms |
468 KB |
Output is correct |
90 |
Correct |
1 ms |
340 KB |
Output is correct |
91 |
Correct |
1 ms |
340 KB |
Output is correct |
92 |
Correct |
1 ms |
340 KB |
Output is correct |
93 |
Correct |
1 ms |
340 KB |
Output is correct |
94 |
Correct |
1 ms |
468 KB |
Output is correct |
95 |
Correct |
1 ms |
468 KB |
Output is correct |
96 |
Correct |
1 ms |
340 KB |
Output is correct |
97 |
Correct |
1 ms |
340 KB |
Output is correct |
98 |
Correct |
0 ms |
340 KB |
Output is correct |
99 |
Correct |
0 ms |
212 KB |
Output is correct |
100 |
Correct |
374 ms |
70772 KB |
Output is correct |
101 |
Correct |
379 ms |
70300 KB |
Output is correct |
102 |
Correct |
364 ms |
70372 KB |
Output is correct |
103 |
Correct |
367 ms |
70540 KB |
Output is correct |
104 |
Correct |
385 ms |
69912 KB |
Output is correct |
105 |
Correct |
404 ms |
111896 KB |
Output is correct |
106 |
Correct |
412 ms |
111624 KB |
Output is correct |
107 |
Correct |
376 ms |
111696 KB |
Output is correct |
108 |
Correct |
400 ms |
112280 KB |
Output is correct |
109 |
Correct |
389 ms |
112452 KB |
Output is correct |
110 |
Correct |
380 ms |
70892 KB |
Output is correct |
111 |
Correct |
372 ms |
70360 KB |
Output is correct |
112 |
Correct |
375 ms |
70864 KB |
Output is correct |
113 |
Correct |
374 ms |
70148 KB |
Output is correct |
114 |
Correct |
368 ms |
70400 KB |
Output is correct |
115 |
Correct |
369 ms |
200820 KB |
Output is correct |
116 |
Correct |
373 ms |
193388 KB |
Output is correct |
117 |
Correct |
387 ms |
197836 KB |
Output is correct |
118 |
Correct |
345 ms |
196236 KB |
Output is correct |
119 |
Correct |
346 ms |
193376 KB |
Output is correct |
120 |
Correct |
392 ms |
70896 KB |
Output is correct |
121 |
Correct |
400 ms |
70716 KB |
Output is correct |
122 |
Correct |
388 ms |
70576 KB |
Output is correct |
123 |
Correct |
372 ms |
70680 KB |
Output is correct |
124 |
Correct |
305 ms |
133952 KB |
Output is correct |
125 |
Correct |
297 ms |
133744 KB |
Output is correct |
126 |
Correct |
312 ms |
133320 KB |
Output is correct |
127 |
Correct |
303 ms |
133912 KB |
Output is correct |
128 |
Correct |
189 ms |
37232 KB |
Output is correct |
129 |
Correct |
180 ms |
36944 KB |
Output is correct |
130 |
Correct |
188 ms |
37164 KB |
Output is correct |
131 |
Correct |
1 ms |
212 KB |
Output is correct |