CSES - Datatähti 2018 alku - Results
Submission details
Task:Bittijono
Sender:admaingo
Submission time:2017-10-14 14:20:22 +0300
Language:C++
Status:READY
Result:100
Feedback
groupverdictscore
#1ACCEPTED7
#2ACCEPTED15
#3ACCEPTED27
#4ACCEPTED51
Test results
testverdicttimegroup
#1ACCEPTED0.06 s1details
#2ACCEPTED0.05 s1details
#3ACCEPTED0.04 s1details
#4ACCEPTED0.06 s1details
#5ACCEPTED0.04 s1details
#6ACCEPTED0.06 s1details
#7ACCEPTED0.07 s1details
#8ACCEPTED0.05 s1details
#9ACCEPTED0.06 s1details
#10ACCEPTED0.06 s1details
#11ACCEPTED0.06 s2details
#12ACCEPTED0.06 s2details
#13ACCEPTED0.05 s2details
#14ACCEPTED0.07 s2details
#15ACCEPTED0.05 s2details
#16ACCEPTED0.06 s2details
#17ACCEPTED0.05 s2details
#18ACCEPTED0.06 s2details
#19ACCEPTED0.05 s2details
#20ACCEPTED0.04 s2details
#21ACCEPTED0.04 s3details
#22ACCEPTED0.05 s3details
#23ACCEPTED0.04 s3details
#24ACCEPTED0.04 s3details
#25ACCEPTED0.04 s3details
#26ACCEPTED0.04 s3details
#27ACCEPTED0.06 s3details
#28ACCEPTED0.06 s3details
#29ACCEPTED0.04 s3details
#30ACCEPTED0.05 s3details
#31ACCEPTED0.07 s4details
#32ACCEPTED0.10 s4details
#33ACCEPTED0.06 s4details
#34ACCEPTED0.11 s4details
#35ACCEPTED0.09 s4details
#36ACCEPTED0.12 s4details
#37ACCEPTED0.15 s4details
#38ACCEPTED0.11 s4details
#39ACCEPTED0.14 s4details
#40ACCEPTED0.12 s4details

Code

#include <iostream>
using namespace std;

const int inf = 1e9;
int count(int a, int b) {
	if (b > a) return count(b,a);
	if (a == 0 && b == 0) return 0;
	if (a == b) return inf;
	int div = a / (b+1); // how many times we reduce b+1 from a
	return count(b,a-div*(b+1)) + div;
}

// since we pick the one with least count, a == b never happens.
string rev(int a, int b) {
	if (a == 0 && b == 0) return "";
	if (a > b) {
		return rev(a-b-1,b) + "0";
	} else {
		return rev(a,b-a-1) + "1";
	}
}

int main() {
	ios_base::sync_with_stdio(false);

	int n;
	cin >> n;

	int best = 0;
	int steps = inf;
	
	for (int i = 0; i <= n - i; ++i) {
		int j = n-i;
		int val = count(j,i);
		if (val < steps) {
			steps = val;
			best = i;
		}
	}
	std::cout << rev(n - best, best) << '\n';
}

Test details

Test 1

Group: 1

Verdict: ACCEPTED

input
1

correct output
1

user output
0

Test 2

Group: 1

Verdict: ACCEPTED

input
2

correct output
11

user output
00

Test 3

Group: 1

Verdict: ACCEPTED

input
3

correct output
10

user output
10

Test 4

Group: 1

Verdict: ACCEPTED

input
4

correct output
1111

user output
0000

Test 5

Group: 1

Verdict: ACCEPTED

input
5

correct output
110

user output
100

Test 6

Group: 1

Verdict: ACCEPTED

input
6

correct output
101

user output
010

Test 7

Group: 1

Verdict: ACCEPTED

input
7

correct output
1110

user output
1000

Test 8

Group: 1

Verdict: ACCEPTED

input
8

correct output
1100

user output
1100

Test 9

Group: 1

Verdict: ACCEPTED

input
9

correct output
1101

user output
0100

Test 10

Group: 1

Verdict: ACCEPTED

input
10

correct output
1001

user output
0110

Test 11

Group: 2

Verdict: ACCEPTED

input
38

correct output
1101011

user output
0010100

Test 12

Group: 2

Verdict: ACCEPTED

input
13

correct output
11011

user output
00100

Test 13

Group: 2

Verdict: ACCEPTED

input
90

correct output
111001010

user output
101011000

Test 14

Group: 2

Verdict: ACCEPTED

input
25

correct output
110010

user output
101100

Test 15

Group: 2

Verdict: ACCEPTED

input
82

correct output
111001101

user output
010011000

Test 16

Group: 2

Verdict: ACCEPTED

input
94

correct output
1100011110

user output
1000011100

Test 17

Group: 2

Verdict: ACCEPTED

input
100

correct output
1111001001

user output
0110110000

Test 18

Group: 2

Verdict: ACCEPTED

input
99

correct output
110010010

user output
101101100

Test 19

Group: 2

Verdict: ACCEPTED

input
98

correct output
110110010

user output
101100100

Test 20

Group: 2

Verdict: ACCEPTED

input
92

correct output
100110001

user output
011100110

Test 21

Group: 3

Verdict: ACCEPTED

input
1666

correct output
101101100100101

user output
010110110010010

Test 22

Group: 3

Verdict: ACCEPTED

input
897

correct output
11101001101010

user output
10101001101000

Test 23

Group: 3

Verdict: ACCEPTED

input
4466

correct output
111101010110100101

user output
010110100101010000

Test 24

Group: 3

Verdict: ACCEPTED

input
4240

correct output
11011001011010101

user output
01010100101100100

Test 25

Group: 3

Verdict: ACCEPTED

input
3089

correct output
1011001010100101

user output
0101101010110010

Test 26

Group: 3

Verdict: ACCEPTED

input
4697

correct output
11010101101010110

user output
10010101001010100

Test 27

Group: 3

Verdict: ACCEPTED

input
4608

correct output
11010110101001010

user output
10101101010010100

Test 28

Group: 3

Verdict: ACCEPTED

input
4625

correct output
111011001100101001

user output
011010110011001000

Test 29

Group: 3

Verdict: ACCEPTED

input
4611

correct output
11010101010101100

user output
11001010101010100

Test 30

Group: 3

Verdict: ACCEPTED

input
4917

correct output
10110100101010110

user output
10010101011010010

Test 31

Group: 4

Verdict: ACCEPTED

input
178555

correct output
1011010110110101010110110

user output
1001001010101001001010010

Test 32

Group: 4

Verdict: ACCEPTED

input
864856

correct output
10111010110110100100101010010

user output
10110101011011010010010100010

Test 33

Group: 4

Verdict: ACCEPTED

input
112146

correct output
1101110101011001100100110

user output
1001101100110010101000100

Test 34

Group: 4

Verdict: ACCEPTED

input
741124

correct output
1011010011010101100101011010

user output
1010010101100101010011010010

Test 35

Group: 4

Verdict: ACCEPTED

input
511902

correct output
1011010100011010100101001110

user output
1000110101101010011101010010

Test 36

Group: 4

Verdict: ACCEPTED

input
920019

correct output
11100100101101010101001101010

user output
10101001101010101001011011000

Test 37

Group: 4

Verdict: ACCEPTED

input
933943

correct output
10101011010100100110100111001

user output
01100011010011011010100101010

Test 38

Group: 4

Verdict: ACCEPTED

input
973410

correct output
1011010101011010101010101001

user output
0110101010101010010101010010

Test 39

Group: 4

Verdict: ACCEPTED

input
954943

correct output
10110110010011010100100110101

user output
01010011011010100110110010010

Test 40

Group: 4

Verdict: ACCEPTED

input
911674

correct output
1010110010110101010101010110

user output
1001010101010101001011001010