CSES - Datatähti Open 2019 - Results
Submission details
Task:Binary tree
Sender:cvele
Submission time:2019-01-18 18:17:58
Language:C++
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED23
#2ACCEPTED26
#3ACCEPTED51
Test results
testverdicttimegroup
#1ACCEPTED0.02 s1details
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#55ACCEPTED0.39 s3details
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Compiler report

input/code.cpp: In function 'std::pair<int, int> level(long long int)':
input/code.cpp:41:7: warning: 't' may be used uninitialized in this function [-Wmaybe-uninitialized]
   int t;
       ^
input/code.cpp: In function 'int main()':
input/code.cpp:78:5: warning: 't' may be used uninitialized in this function [-Wmaybe-uninitialized]
     if (here.second == 1) {
     ^~

Code

#include <iostream>
#include <sstream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cctype>
#include <cstring>
#include <climits>
#include <iomanip>
#include <bitset>
#include <algorithm>
#include <vector>
#include <stack>
#include <queue>
#include <deque>
#include <set>
#include <list>
#include <map>

using namespace std;

const long long mod = (long long) 1e9 + 7;

int n, m;

long long fp(long long a, long long b) {
  long long ans = 1;
  //a %= mod;
  while (b > 0) {
    if (b & 1) {
      ans = (ans * a) % mod;
    }
    b >>= 1;
    a = (a * a) % mod;
  }
  return ans;
}

pair <int, int> level(long long x) {
  int ans = 1;
  int t;
  while (x != 1) {
    ans++;
    if (x == 2) {
      t = 1;
    } else if (x == 3) {
      t = 2;
    }
    x >>= 1;
  }
  return make_pair(n - ans + 1, t);
}

int main() {
  map <long long, bool> used;
  cin >> n >> m;
  vector <long long> ve;
  for (int i = 0; i < m; i++) {
    long long x;
    cin >> x;
    ve.push_back(x);
  }
  sort(ve.begin(), ve.end());
  for (long long x : ve) {
    long long tmp = x;
    while (tmp != 1) {
      if (used.count(tmp)) break;
      tmp >>= 1;
    }
    if (tmp == 1) {
      used.insert(make_pair(x, 1));
    }
  }
  long long lef = fp(2, n - 2), rig = fp(2, n - 2);
  for (auto it : used) {
    long long v = it.first;
    pair <int, int> here = level(v);
    if (here.second == 1) {
      lef -= fp(2, here.first - 1);
      lef %= mod;
      lef += mod;
      lef %= mod;
    } else {
      rig -= fp(2, here.first - 1);
      rig %= mod;
      rig += mod;
      rig %= mod;
    }
  }
  cout << (lef * rig * 2) % mod << endl;
}

Test details

Test 1

Group: 1

Verdict: ACCEPTED

input
4 3
10
5
13

correct output
12

user output
12

Test 2

Group: 1

Verdict: ACCEPTED

input
2 0

correct output
2

user output
2

Test 3

Group: 1

Verdict: ACCEPTED

input
2 1
2

correct output
0

user output
0

Test 4

Group: 1

Verdict: ACCEPTED

input
2 1
3

correct output
0

user output
0

Test 5

Group: 1

Verdict: ACCEPTED

input
2 2
2
3

correct output
0

user output
0

Test 6

Group: 1

Verdict: ACCEPTED

input
6 0

correct output
512

user output
512

Test 7

Group: 1

Verdict: ACCEPTED

input
6 1
29

correct output
448

user output
448

Test 8

Group: 1

Verdict: ACCEPTED

input
6 1
63

correct output
480

user output
480

Test 9

Group: 1

Verdict: ACCEPTED

input
6 10
50
63
56
5
...

correct output
132

user output
132

Test 10

Group: 1

Verdict: ACCEPTED

input
6 10
25
57
62
42
...

correct output
162

user output
162

Test 11

Group: 1

Verdict: ACCEPTED

input
6 10
14
26
34
42
...

correct output
126

user output
126

Test 12

Group: 1

Verdict: ACCEPTED

input
6 10
21
60
23
59
...

correct output
128

user output
128

Test 13

Group: 1

Verdict: ACCEPTED

input
6 10
8
30
32
16
...

correct output
0

user output
0

Test 14

Group: 1

Verdict: ACCEPTED

input
6 20
46
39
55
24
...

correct output
48

user output
48

Test 15

Group: 1

Verdict: ACCEPTED

input
6 25
36
23
27
33
...

correct output
4

user output
4

Test 16

Group: 1

Verdict: ACCEPTED

input
6 62
42
11
4
61
...

correct output
0

user output
0

Test 17

Group: 1

Verdict: ACCEPTED

input
6 32
62
38
57
35
...

correct output
0

user output
0

Test 18

Group: 1

Verdict: ACCEPTED

input
6 21
38
51
47
35
...

correct output
60

user output
60

Test 19

Group: 1

Verdict: ACCEPTED

input
6 31
59
15
3
26
...

correct output
0

user output
0

Test 20

Group: 1

Verdict: ACCEPTED

input
6 14
13
53
55
26
...

correct output
256

user output
256

Test 21

Group: 1

Verdict: ACCEPTED

input
5 10
5
17
21
7
...

correct output
6

user output
6

Test 22

Group: 1

Verdict: ACCEPTED

input
6 5
38
18
31
44
...

correct output
312

user output
312

Test 23

Group: 1

Verdict: ACCEPTED

input
3 0

correct output
8

user output
8

Test 24

Group: 1

Verdict: ACCEPTED

input
3 1
2

correct output
0

user output
0

Test 25

Group: 1

Verdict: ACCEPTED

input
3 1
3

correct output
0

user output
0

Test 26

Group: 1

Verdict: ACCEPTED

input
3 2
4
6

correct output
2

user output
2

Test 27

Group: 1

Verdict: ACCEPTED

input
3 2
4
7

correct output
2

user output
2

Test 28

Group: 1

Verdict: ACCEPTED

input
3 2
5
6

correct output
2

user output
2

Test 29

Group: 1

Verdict: ACCEPTED

input
3 2
5
7

correct output
2

user output
2

Test 30

Group: 1

Verdict: ACCEPTED

input
3 2
3
6

correct output
0

user output
0

Test 31

Group: 1

Verdict: ACCEPTED

input
3 3
4
5
6

correct output
0

user output
0

Test 32

Group: 1

Verdict: ACCEPTED

input
3 3
4
6
7

correct output
0

user output
0

Test 33

Group: 1

Verdict: ACCEPTED

input
3 4
4
5
6
7

correct output
0

user output
0

Test 34

Group: 1

Verdict: ACCEPTED

input
5 0

correct output
128

user output
128

Test 35

Group: 1

Verdict: ACCEPTED

input
5 1
14

correct output
96

user output
96

Test 36

Group: 2

Verdict: ACCEPTED

input
2 0

correct output
2

user output
2

Test 37

Group: 2

Verdict: ACCEPTED

input
3 0

correct output
8

user output
8

Test 38

Group: 2

Verdict: ACCEPTED

input
4 0

correct output
32

user output
32

Test 39

Group: 2

Verdict: ACCEPTED

input
23 0

correct output
92960636

user output
92960636

Test 40

Group: 2

Verdict: ACCEPTED

input
36 0

correct output
635008130

user output
635008130

Test 41

Group: 2

Verdict: ACCEPTED

input
42 0

correct output
993282280

user output
993282280

Test 42

Group: 2

Verdict: ACCEPTED

input
57 0

correct output
608377687

user output
608377687

Test 43

Group: 2

Verdict: ACCEPTED

input
58 0

correct output
433510734

user output
433510734

Test 44

Group: 2

Verdict: ACCEPTED

input
59 0

correct output
734042929

user output
734042929

Test 45

Group: 2

Verdict: ACCEPTED

input
60 0

correct output
936171702

user output
936171702

Test 46

Group: 3

Verdict: ACCEPTED

input
2 0

correct output
2

user output
2

Test 47

Group: 3

Verdict: ACCEPTED

input
2 1
2

correct output
0

user output
0

Test 48

Group: 3

Verdict: ACCEPTED

input
2 1
3

correct output
0

user output
0

Test 49

Group: 3

Verdict: ACCEPTED

input
2 2
2
3

correct output
0

user output
0

Test 50

Group: 3

Verdict: ACCEPTED

input
59 0

correct output
734042929

user output
734042929

Test 51

Group: 3

Verdict: ACCEPTED

input
60 0

correct output
936171702

user output
936171702

Test 52

Group: 3

Verdict: ACCEPTED

input
60 1
2

correct output
0

user output
0

Test 53

Group: 3

Verdict: ACCEPTED

input
60 1
576460752303423487

correct output
399775198

user output
399775198

Test 54

Group: 3

Verdict: ACCEPTED

input
60 1
1152921504606846975

correct output
667973450

user output
667973450

Test 55

Group: 3

Verdict: ACCEPTED

input
60 100000
793144025126277478
493960657696318193
320344157019848454
997683950258055349
...

correct output
12813436

user output
12813436

Test 56

Group: 3

Verdict: ACCEPTED

input
60 100000
986789393060040220
494066507202684187
290830182157570659
210871095549437400
...

correct output
95910570

user output
95910570

Test 57

Group: 3

Verdict: ACCEPTED

input
60 100000
562299894758506682
731132428235172865
481500339045425690
208947005967360560
...

correct output
331624281

user output
331624281

Test 58

Group: 3

Verdict: ACCEPTED

input
60 100000
257846911019866261
803021202233459674
658685893766403373
874237705485665885
...

correct output
880725152

user output
880725152

Test 59

Group: 3

Verdict: ACCEPTED

input
60 100000
681388061028265547
990382999862855868
290694941402209648
491574111397234946
...

correct output
768320742

user output
768320742

Test 60

Group: 3

Verdict: ACCEPTED

input
60 100000
816968727394104576
879176301780517486
1075817811951859004
632046213104404023
...

correct output
111155168

user output
111155168

Test 61

Group: 3

Verdict: ACCEPTED

input
60 100000
406817930303406656
101704482575856800
406817930303412346
813635860606874021
...

correct output
295651662

user output
295651662

Test 62

Group: 3

Verdict: ACCEPTED

input
59 100000
234885934259928845
244746379456935555
40048493361902167
530369614866009610
...

correct output
78892926

user output
78892926

Test 63

Group: 3

Verdict: ACCEPTED

input
16 65534
26355
15205
3420
22822
...

correct output
0

user output
0

Test 64

Group: 3

Verdict: ACCEPTED

input
60 99999
1030879879260090869
925369330408563145
403438777989811739
321883235203598800
...

correct output
596899803

user output
596899803

Test 65

Group: 3

Verdict: ACCEPTED

input
60 100000
418885324976523921
418885324976523063
837770649953084829
104721331244134167
...

correct output
0

user output
0

Test 66

Group: 3

Verdict: ACCEPTED

input
43 100000
5497882741157
4163319796881
3705445016042
8647080351851
...

correct output
317037701

user output
317037701

Test 67

Group: 3

Verdict: ACCEPTED

input
3 0

correct output
8

user output
8

Test 68

Group: 3

Verdict: ACCEPTED

input
3 1
2

correct output
0

user output
0

Test 69

Group: 3

Verdict: ACCEPTED

input
3 1
3

correct output
0

user output
0

Test 70

Group: 3

Verdict: ACCEPTED

input
3 2
4
6

correct output
2

user output
2

Test 71

Group: 3

Verdict: ACCEPTED

input
3 2
4
7

correct output
2

user output
2

Test 72

Group: 3

Verdict: ACCEPTED

input
3 2
5
6

correct output
2

user output
2

Test 73

Group: 3

Verdict: ACCEPTED

input
3 2
5
7

correct output
2

user output
2

Test 74

Group: 3

Verdict: ACCEPTED

input
3 2
3
6

correct output
0

user output
0

Test 75

Group: 3

Verdict: ACCEPTED

input
3 3
4
5
6

correct output
0

user output
0

Test 76

Group: 3

Verdict: ACCEPTED

input
3 3
4
6
7

correct output
0

user output
0

Test 77

Group: 3

Verdict: ACCEPTED

input
3 4
4
5
6
7

correct output
0

user output
0