CSES - Datatähti 2021 loppu - Results
Submission details
Task:Kolmijako
Sender:AtskaFin
Submission time:2021-01-23 16:22:35 +0200
Language:C++ (C++17)
Status:READY
Result:22
Feedback
groupverdictscore
#1ACCEPTED22
#20
Test results
testverdicttimegroup
#1ACCEPTED0.01 s1, 2details
#2ACCEPTED0.01 s1, 2details
#3ACCEPTED0.01 s1, 2details
#4ACCEPTED0.01 s1, 2details
#5ACCEPTED0.01 s1, 2details
#6ACCEPTED0.01 s1, 2details
#7ACCEPTED0.01 s1, 2details
#8ACCEPTED0.01 s1, 2details
#9--2details
#10--2details
#11--2details
#12--2details
#13--2details
#14--2details
#15--2details

Code

#include <iostream>
#include <vector>

using namespace std;

vector<int> a;
vector<int> b;
vector<int> c;
int sumA;
int sumB;
int sumC;

int ans[101];

int n;
bool found = false;

void search(int i) {
  if (i > n) {
    // check
    if (sumA == sumB-1 && sumB == sumC-1) {
      found = true;
    }

    return;
  }

  a.push_back(i);
  sumA += i;
  search(i+1);
  if (found) return;
  sumA -= i;
  a.pop_back();

  b.push_back(i);
  sumB += i;
  search(i+1);
  if (found) return;
  sumB -= i;
  b.pop_back();

  c.push_back(i);
  sumC += i;
  search(i+1);
  if (found) return;
  sumC -= i;
  c.pop_back();
}

int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  
  cin>>n;

  search(1);

  if (!found) {
    cout << "IMPOSSIBLE";
  } else {
    for (int i : a) {
      ans[i] = 1;
    }
    for (int i : b) {
      ans[i] = 2;
    }
    for (int i : c) {
      ans[i] = 3;
    }

    for (int i = 1; i <= n; i++) cout << ans[i] << " ";
  }
}

Test details

Test 1

Group: 1, 2

Verdict: ACCEPTED

input
3

correct output
1 2 3 

user output
1 2 3 

Test 2

Group: 1, 2

Verdict: ACCEPTED

input
4

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 3

Group: 1, 2

Verdict: ACCEPTED

input
5

correct output
1 3 1 3 2 

user output
1 3 1 3 2 

Test 4

Group: 1, 2

Verdict: ACCEPTED

input
6

correct output
1 3 2 2 1 3 

user output
1 3 2 2 1 3 

Test 5

Group: 1, 2

Verdict: ACCEPTED

input
7

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 6

Group: 1, 2

Verdict: ACCEPTED

input
8

correct output
2 3 1 2 3 3 2 1 

user output
1 1 1 2 1 3 3 2 

Test 7

Group: 1, 2

Verdict: ACCEPTED

input
9

correct output
1 2 3 1 2 3 3 2 1 

user output
1 1 1 2 2 2 3 1 3 

Test 8

Group: 1, 2

Verdict: ACCEPTED

input
10

correct output
IMPOSSIBLE

user output
IMPOSSIBLE

Test 9

Group: 2

Verdict:

input
42

correct output
1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ...

user output
(empty)

Test 10

Group: 2

Verdict:

input
95

correct output
1 3 1 3 2 1 2 3 3 2 1 1 2 3 3 ...

user output
(empty)

Test 11

Group: 2

Verdict:

input
96

correct output
1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ...

user output
(empty)

Test 12

Group: 2

Verdict:

input
97

correct output
IMPOSSIBLE

user output
(empty)

Test 13

Group: 2

Verdict:

input
98

correct output
2 3 1 2 3 3 2 1 1 2 3 3 2 1 1 ...

user output
(empty)

Test 14

Group: 2

Verdict:

input
99

correct output
1 2 3 1 2 3 3 2 1 1 2 3 3 2 1 ...

user output
(empty)

Test 15

Group: 2

Verdict:

input
100

correct output
IMPOSSIBLE

user output
(empty)