#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
str s;
int n = 1, m;
vector<int> type(1, -1);
vector<int> L(1, -1), R(1, -1);
vector<int> leaves;
vector<vector<int>> dp;
vector<int> sum;
int create_tree(int nd, int i){
if(s[i] == '?'){
leaves.pb(nd);
return i;
}
if(s[i+1] == 'i') type[nd] = 0;
else type[nd] = 1;
L.pb(-1);
R.pb(-1);
type.pb(-1);
L[nd] = n;
n++;
int x = create_tree(L[nd], i+4);
x+=2;
L.pb(-1);
R.pb(-1);
type.pb(-1);
R[nd] = n;
n++;
x = create_tree(R[nd], x);
return x+1;
}
void pre_dfs(int nd){
if(type[nd] == -1){
dp[nd][0] = 1;
dp[nd][1] = 1;
return;
}
pre_dfs(L[nd]);
pre_dfs(R[nd]);
// want smaller (dp[nd][0])
if(type[nd] == 0) dp[nd][0] = min(dp[L[nd]][0], dp[R[nd]][0]);
else dp[nd][0] = dp[L[nd]][0] + dp[R[nd]][0];
// want larger (dp[nd][1])
if(type[nd] == 0) dp[nd][1] = dp[L[nd]][1] + dp[R[nd]][1];
else dp[nd][1] = min(dp[L[nd]][1], dp[R[nd]][1]);
}
void dfs(int nd, int a = 0, int b = 0){
if(type[nd] == -1){
if(a+b < m) sum[a]++, sum[m-b]--;
return;
}
if(type[nd] == 0){
dfs(L[nd], a, b+dp[R[nd]][1]);
dfs(R[nd], a, b+dp[L[nd]][1]);
}
else{
dfs(L[nd], a+dp[R[nd]][0], b);
dfs(R[nd], a+dp[L[nd]][0], b);
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> s;
create_tree(0, 0);
dp.assign(n, vector<int>(2, n));
m = leaves.size();
sum.assign(m+1, 0);
pre_dfs(0);
dfs(0);
int ans = 0;
for(int i = 0; i < m; i++){
if(i) sum[i]+=sum[i-1];
if(sum[i] > 0) ans++;
}
cout << ans << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
320 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 |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
324 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
324 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
324 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
320 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 |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
324 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
324 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
324 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
316 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
320 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
320 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
320 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
320 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
320 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
324 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
274 ms |
217676 KB |
Output is correct |
2 |
Correct |
317 ms |
217736 KB |
Output is correct |
3 |
Correct |
283 ms |
217744 KB |
Output is correct |
4 |
Correct |
304 ms |
217672 KB |
Output is correct |
5 |
Correct |
268 ms |
217724 KB |
Output is correct |
6 |
Correct |
276 ms |
217720 KB |
Output is correct |
7 |
Correct |
270 ms |
217728 KB |
Output is correct |
8 |
Correct |
278 ms |
217716 KB |
Output is correct |
9 |
Correct |
267 ms |
217736 KB |
Output is correct |
10 |
Correct |
290 ms |
217740 KB |
Output is correct |
11 |
Correct |
286 ms |
217728 KB |
Output is correct |
12 |
Correct |
301 ms |
217728 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
320 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 |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
324 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
324 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
324 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
316 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
320 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
320 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
320 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
320 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
320 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
324 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
448 KB |
Output is correct |
58 |
Correct |
1 ms |
468 KB |
Output is correct |
59 |
Correct |
1 ms |
468 KB |
Output is correct |
60 |
Correct |
1 ms |
448 KB |
Output is correct |
61 |
Correct |
1 ms |
452 KB |
Output is correct |
62 |
Correct |
1 ms |
456 KB |
Output is correct |
63 |
Correct |
1 ms |
484 KB |
Output is correct |
64 |
Correct |
1 ms |
468 KB |
Output is correct |
65 |
Correct |
1 ms |
468 KB |
Output is correct |
66 |
Correct |
1 ms |
468 KB |
Output is correct |
67 |
Correct |
1 ms |
468 KB |
Output is correct |
68 |
Correct |
1 ms |
468 KB |
Output is correct |
69 |
Correct |
1 ms |
452 KB |
Output is correct |
70 |
Correct |
1 ms |
452 KB |
Output is correct |
71 |
Correct |
1 ms |
468 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 |
468 KB |
Output is correct |
78 |
Correct |
1 ms |
448 KB |
Output is correct |
79 |
Correct |
1 ms |
456 KB |
Output is correct |
80 |
Correct |
1 ms |
468 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 |
1 ms |
340 KB |
Output is correct |
86 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
320 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 |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
324 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
324 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
324 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
316 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
320 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
320 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
320 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
320 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
320 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
324 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
274 ms |
217676 KB |
Output is correct |
58 |
Correct |
317 ms |
217736 KB |
Output is correct |
59 |
Correct |
283 ms |
217744 KB |
Output is correct |
60 |
Correct |
304 ms |
217672 KB |
Output is correct |
61 |
Correct |
268 ms |
217724 KB |
Output is correct |
62 |
Correct |
276 ms |
217720 KB |
Output is correct |
63 |
Correct |
270 ms |
217728 KB |
Output is correct |
64 |
Correct |
278 ms |
217716 KB |
Output is correct |
65 |
Correct |
267 ms |
217736 KB |
Output is correct |
66 |
Correct |
290 ms |
217740 KB |
Output is correct |
67 |
Correct |
286 ms |
217728 KB |
Output is correct |
68 |
Correct |
301 ms |
217728 KB |
Output is correct |
69 |
Correct |
1 ms |
320 KB |
Output is correct |
70 |
Correct |
1 ms |
448 KB |
Output is correct |
71 |
Correct |
1 ms |
468 KB |
Output is correct |
72 |
Correct |
1 ms |
468 KB |
Output is correct |
73 |
Correct |
1 ms |
448 KB |
Output is correct |
74 |
Correct |
1 ms |
452 KB |
Output is correct |
75 |
Correct |
1 ms |
456 KB |
Output is correct |
76 |
Correct |
1 ms |
484 KB |
Output is correct |
77 |
Correct |
1 ms |
468 KB |
Output is correct |
78 |
Correct |
1 ms |
468 KB |
Output is correct |
79 |
Correct |
1 ms |
468 KB |
Output is correct |
80 |
Correct |
1 ms |
468 KB |
Output is correct |
81 |
Correct |
1 ms |
468 KB |
Output is correct |
82 |
Correct |
1 ms |
452 KB |
Output is correct |
83 |
Correct |
1 ms |
452 KB |
Output is correct |
84 |
Correct |
1 ms |
468 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 |
468 KB |
Output is correct |
91 |
Correct |
1 ms |
448 KB |
Output is correct |
92 |
Correct |
1 ms |
456 KB |
Output is correct |
93 |
Correct |
1 ms |
468 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 |
1 ms |
340 KB |
Output is correct |
99 |
Correct |
1 ms |
212 KB |
Output is correct |
100 |
Correct |
235 ms |
155108 KB |
Output is correct |
101 |
Correct |
251 ms |
155180 KB |
Output is correct |
102 |
Correct |
231 ms |
154996 KB |
Output is correct |
103 |
Correct |
243 ms |
155148 KB |
Output is correct |
104 |
Correct |
232 ms |
155248 KB |
Output is correct |
105 |
Correct |
250 ms |
176104 KB |
Output is correct |
106 |
Correct |
269 ms |
175992 KB |
Output is correct |
107 |
Correct |
253 ms |
175976 KB |
Output is correct |
108 |
Correct |
258 ms |
175892 KB |
Output is correct |
109 |
Correct |
247 ms |
175860 KB |
Output is correct |
110 |
Correct |
249 ms |
155096 KB |
Output is correct |
111 |
Correct |
243 ms |
155048 KB |
Output is correct |
112 |
Correct |
231 ms |
155252 KB |
Output is correct |
113 |
Correct |
238 ms |
155000 KB |
Output is correct |
114 |
Correct |
233 ms |
155120 KB |
Output is correct |
115 |
Correct |
297 ms |
217840 KB |
Output is correct |
116 |
Correct |
282 ms |
217728 KB |
Output is correct |
117 |
Correct |
301 ms |
217732 KB |
Output is correct |
118 |
Correct |
275 ms |
217740 KB |
Output is correct |
119 |
Correct |
282 ms |
217724 KB |
Output is correct |
120 |
Correct |
237 ms |
155044 KB |
Output is correct |
121 |
Correct |
228 ms |
155112 KB |
Output is correct |
122 |
Correct |
254 ms |
155004 KB |
Output is correct |
123 |
Correct |
249 ms |
155116 KB |
Output is correct |
124 |
Correct |
268 ms |
186500 KB |
Output is correct |
125 |
Correct |
236 ms |
186420 KB |
Output is correct |
126 |
Correct |
243 ms |
186312 KB |
Output is correct |
127 |
Correct |
249 ms |
186412 KB |
Output is correct |
128 |
Correct |
133 ms |
81356 KB |
Output is correct |
129 |
Correct |
138 ms |
81456 KB |
Output is correct |
130 |
Correct |
130 ms |
81408 KB |
Output is correct |
131 |
Correct |
0 ms |
212 KB |
Output is correct |